KILLED
proof of input_YC0R1B82Mn.trs
# AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished


The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).

(0) CpxTRS
(1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxTRS
(3) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(4) CpxTRS
(5) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms]
(6) CpxWeightedTrs
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (8) CpxTypedWeightedTrs
    (9) CompletionProof [UPPER BOUND(ID), 0 ms]
    (10) CpxTypedWeightedCompleteTrs
        (11) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (12) CpxTypedWeightedCompleteTrs
        (13) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (14) CpxRNTS
        (15) InliningProof [UPPER BOUND(ID), 1105 ms]
        (16) CpxRNTS
        (17) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (18) CpxRNTS
    (19) CompletionProof [UPPER BOUND(ID), 0 ms]
    (20) CpxTypedWeightedCompleteTrs
        (21) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (22) CpxRNTS
(23) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
(24) CdtProblem
    (25) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (26) CdtProblem
    (27) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (28) CdtProblem
    (29) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (30) CdtProblem
    (31) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (32) CdtProblem
    (33) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (34) CdtProblem
    (35) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (36) CdtProblem
    (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (38) CdtProblem
    (39) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (40) CdtProblem
    (41) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (42) CdtProblem
    (43) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (44) CdtProblem
    (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2 ms]
    (46) CdtProblem
    (47) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (48) CdtProblem
    (49) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (50) CdtProblem
    (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (52) CdtProblem
    (53) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (54) CdtProblem
    (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (56) CdtProblem
    (57) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (58) CdtProblem
    (59) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (60) CdtProblem
    (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 10 ms]
    (62) CdtProblem
    (63) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (64) CdtProblem
    (65) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (66) CdtProblem
    (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (68) CdtProblem
    (69) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (70) CdtProblem
    (71) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (72) CdtProblem
    (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (74) CdtProblem
    (75) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (76) CdtProblem
    (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (78) CdtProblem
    (79) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (80) CdtProblem
    (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (82) CdtProblem
    (83) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (84) CdtProblem
    (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6 ms]
    (86) CdtProblem
    (87) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (88) CdtProblem
    (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4 ms]
    (90) CdtProblem
    (91) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (92) CdtProblem
    (93) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (94) CdtProblem
    (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (96) CdtProblem
    (97) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (98) CdtProblem
    (99) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (100) CdtProblem
    (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 17 ms]
    (102) CdtProblem
    (103) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (104) CdtProblem
    (105) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (106) CdtProblem
    (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (108) CdtProblem
    (109) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (110) CdtProblem
    (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 475 ms]
    (112) CdtProblem
    (113) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (114) CdtProblem
    (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 864 ms]
    (116) CdtProblem
    (117) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (118) CdtProblem
    (119) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1609 ms]
    (120) CdtProblem
    (121) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (122) CdtProblem
    (123) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1610 ms]
    (124) CdtProblem
    (125) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (126) CdtProblem
    (127) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 39 ms]
    (128) CdtProblem
    (129) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 64 ms]
    (130) CdtProblem
    (131) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 32 ms]
    (132) CdtProblem
    (133) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
    (134) CdtProblem
    (135) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 12 ms]
    (136) CdtProblem
    (137) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 227 ms]
    (138) CdtProblem
    (139) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 578 ms]
    (140) CdtProblem
    (141) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 2065 ms]
    (142) CdtProblem
    (143) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 7896 ms]
    (144) CdtProblem


----------------------------------------

(0)
Obligation:
The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   a__f(a, b, X) -> a__f(mark(X), X, mark(X))
   a__c -> a
   a__c -> b
   mark(f(X1, X2, X3)) -> a__f(mark(X1), X2, mark(X3))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
   a__f(X1, X2, X3) -> f(X1, X2, X3)
   a__c -> c

S is empty.
Rewrite Strategy: PARALLEL_INNERMOST
----------------------------------------

(1) RenamingProof (BOTH BOUNDS(ID, ID))
Renamed function symbols to avoid clashes with predefined symbol.
----------------------------------------

(2)
Obligation:
The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   a__f(a, b, X) -> a__f(mark(X), X, mark(X))
   a__c -> a
   a__c -> b
   mark(f(X1, X2, X3)) -> a__f(mark(X1), X2, mark(X3))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
   a__f(X1, X2, X3) -> f(X1, X2, X3)
   a__c -> c

S is empty.
Rewrite Strategy: PARALLEL_INNERMOST
----------------------------------------

(3) RelTrsToTrsProof (UPPER BOUND(ID))
transformed relative TRS to TRS
----------------------------------------

(4)
Obligation:
The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   a__f(a, b, X) -> a__f(mark(X), X, mark(X))
   a__c -> a
   a__c -> b
   mark(f(X1, X2, X3)) -> a__f(mark(X1), X2, mark(X3))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
   a__f(X1, X2, X3) -> f(X1, X2, X3)
   a__c -> c

S is empty.
Rewrite Strategy: PARALLEL_INNERMOST
----------------------------------------

(5) RelTrsToWeightedTrsProof (UPPER BOUND(ID))
Transformed relative TRS to weighted TRS
----------------------------------------

(6)
Obligation:
The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   a__f(a, b, X) -> a__f(mark(X), X, mark(X)) [1]
   a__c -> a [1]
   a__c -> b [1]
   mark(f(X1, X2, X3)) -> a__f(mark(X1), X2, mark(X3)) [1]
   mark(c) -> a__c [1]
   mark(a) -> a [1]
   mark(b) -> b [1]
   a__f(X1, X2, X3) -> f(X1, X2, X3) [1]
   a__c -> c [1]

Rewrite Strategy: INNERMOST
----------------------------------------

(7) TypeInferenceProof (BOTH BOUNDS(ID, ID))
Infered types.
----------------------------------------

(8)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   a__f(a, b, X) -> a__f(mark(X), X, mark(X)) [1]
   a__c -> a [1]
   a__c -> b [1]
   mark(f(X1, X2, X3)) -> a__f(mark(X1), X2, mark(X3)) [1]
   mark(c) -> a__c [1]
   mark(a) -> a [1]
   mark(b) -> b [1]
   a__f(X1, X2, X3) -> f(X1, X2, X3) [1]
   a__c -> c [1]

The TRS has the following type information:
a__f :: a:b:f:c -> a:b:f:c -> a:b:f:c -> a:b:f:c
a :: a:b:f:c
b :: a:b:f:c
mark :: a:b:f:c -> a:b:f:c
a__c :: a:b:f:c
f :: a:b:f:c -> a:b:f:c -> a:b:f:c -> a:b:f:c
c :: a:b:f:c

Rewrite Strategy: INNERMOST
----------------------------------------

(9) CompletionProof (UPPER BOUND(ID))
The transformation into a RNTS is sound, since:

(a) The obligation is a constructor system where every type has a constant constructor,

(b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols:
none

(c) The following functions are completely defined:

   mark_1
   a__c
   a__f_3

Due to the following rules being added:
none

And the following fresh constants: none

----------------------------------------

(10)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   a__f(a, b, X) -> a__f(mark(X), X, mark(X)) [1]
   a__c -> a [1]
   a__c -> b [1]
   mark(f(X1, X2, X3)) -> a__f(mark(X1), X2, mark(X3)) [1]
   mark(c) -> a__c [1]
   mark(a) -> a [1]
   mark(b) -> b [1]
   a__f(X1, X2, X3) -> f(X1, X2, X3) [1]
   a__c -> c [1]

The TRS has the following type information:
a__f :: a:b:f:c -> a:b:f:c -> a:b:f:c -> a:b:f:c
a :: a:b:f:c
b :: a:b:f:c
mark :: a:b:f:c -> a:b:f:c
a__c :: a:b:f:c
f :: a:b:f:c -> a:b:f:c -> a:b:f:c -> a:b:f:c
c :: a:b:f:c

Rewrite Strategy: INNERMOST
----------------------------------------

(11) NarrowingProof (BOTH BOUNDS(ID, ID))
Narrowed the inner basic terms of all right-hand sides by a single narrowing step.
----------------------------------------

(12)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   a__f(a, b, f(X1', X2', X3')) -> a__f(a__f(mark(X1'), X2', mark(X3')), f(X1', X2', X3'), a__f(mark(X1'), X2', mark(X3'))) [3]
   a__f(a, b, c) -> a__f(a__c, c, a__c) [3]
   a__f(a, b, a) -> a__f(a, a, a) [3]
   a__f(a, b, b) -> a__f(b, b, b) [3]
   a__c -> a [1]
   a__c -> b [1]
   mark(f(f(X1'', X2'', X3''), X2, f(X11, X21, X31))) -> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, a__f(mark(X11), X21, mark(X31))) [3]
   mark(f(f(X1'', X2'', X3''), X2, c)) -> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, a__c) [3]
   mark(f(f(X1'', X2'', X3''), X2, a)) -> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, a) [3]
   mark(f(f(X1'', X2'', X3''), X2, b)) -> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, b) [3]
   mark(f(c, X2, f(X12, X22, X32))) -> a__f(a__c, X2, a__f(mark(X12), X22, mark(X32))) [3]
   mark(f(c, X2, c)) -> a__f(a__c, X2, a__c) [3]
   mark(f(c, X2, a)) -> a__f(a__c, X2, a) [3]
   mark(f(c, X2, b)) -> a__f(a__c, X2, b) [3]
   mark(f(a, X2, f(X13, X23, X33))) -> a__f(a, X2, a__f(mark(X13), X23, mark(X33))) [3]
   mark(f(a, X2, c)) -> a__f(a, X2, a__c) [3]
   mark(f(a, X2, a)) -> a__f(a, X2, a) [3]
   mark(f(a, X2, b)) -> a__f(a, X2, b) [3]
   mark(f(b, X2, f(X14, X24, X34))) -> a__f(b, X2, a__f(mark(X14), X24, mark(X34))) [3]
   mark(f(b, X2, c)) -> a__f(b, X2, a__c) [3]
   mark(f(b, X2, a)) -> a__f(b, X2, a) [3]
   mark(f(b, X2, b)) -> a__f(b, X2, b) [3]
   mark(c) -> a__c [1]
   mark(a) -> a [1]
   mark(b) -> b [1]
   a__f(X1, X2, X3) -> f(X1, X2, X3) [1]
   a__c -> c [1]

The TRS has the following type information:
a__f :: a:b:f:c -> a:b:f:c -> a:b:f:c -> a:b:f:c
a :: a:b:f:c
b :: a:b:f:c
mark :: a:b:f:c -> a:b:f:c
a__c :: a:b:f:c
f :: a:b:f:c -> a:b:f:c -> a:b:f:c -> a:b:f:c
c :: a:b:f:c

Rewrite Strategy: INNERMOST
----------------------------------------

(13) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID))
Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

   a => 0
   b => 1
   c => 2

----------------------------------------

(14)
Obligation:
Complexity RNTS consisting of the following rules:

   a__c -{ 1 }-> 2 :|: 
   a__c -{ 1 }-> 1 :|: 
   a__c -{ 1 }-> 0 :|: 
   a__f(z, z', z'') -{ 3 }-> a__f(a__f(mark(X1'), X2', mark(X3')), 1 + X1' + X2' + X3', a__f(mark(X1'), X2', mark(X3'))) :|: X3' >= 0, X2' >= 0, X1' >= 0, z'' = 1 + X1' + X2' + X3', z' = 1, z = 0
   a__f(z, z', z'') -{ 3 }-> a__f(a__c, 2, a__c) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 3 }-> a__f(1, 1, 1) :|: z' = 1, z = 0, z'' = 1
   a__f(z, z', z'') -{ 3 }-> a__f(0, 0, 0) :|: z'' = 0, z' = 1, z = 0
   a__f(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3
   mark(z) -{ 3 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, a__f(mark(X11), X21, mark(X31))) :|: X1'' >= 0, X11 >= 0, X21 >= 0, X3'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + (1 + X11 + X21 + X31), X31 >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, a__c) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + 2, X3'' >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, 1) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + 1, X3'' >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, 0) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + 0, X3'' >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(a__c, X2, a__f(mark(X12), X22, mark(X32))) :|: z = 1 + 2 + X2 + (1 + X12 + X22 + X32), X12 >= 0, X22 >= 0, X32 >= 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(a__c, X2, a__c) :|: z = 1 + 2 + X2 + 2, X2 >= 0
   mark(z) -{ 3 }-> a__f(a__c, X2, 1) :|: z = 1 + 2 + X2 + 1, X2 >= 0
   mark(z) -{ 3 }-> a__f(a__c, X2, 0) :|: z = 1 + 2 + X2 + 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(1, X2, a__f(mark(X14), X24, mark(X34))) :|: z = 1 + 1 + X2 + (1 + X14 + X24 + X34), X2 >= 0, X14 >= 0, X24 >= 0, X34 >= 0
   mark(z) -{ 3 }-> a__f(1, X2, a__c) :|: X2 >= 0, z = 1 + 1 + X2 + 2
   mark(z) -{ 3 }-> a__f(1, X2, 1) :|: z = 1 + 1 + X2 + 1, X2 >= 0
   mark(z) -{ 3 }-> a__f(1, X2, 0) :|: z = 1 + 1 + X2 + 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(0, X2, a__f(mark(X13), X23, mark(X33))) :|: X33 >= 0, X2 >= 0, z = 1 + 0 + X2 + (1 + X13 + X23 + X33), X13 >= 0, X23 >= 0
   mark(z) -{ 3 }-> a__f(0, X2, a__c) :|: X2 >= 0, z = 1 + 0 + X2 + 2
   mark(z) -{ 3 }-> a__f(0, X2, 1) :|: X2 >= 0, z = 1 + 0 + X2 + 1
   mark(z) -{ 3 }-> a__f(0, X2, 0) :|: X2 >= 0, z = 1 + 0 + X2 + 0
   mark(z) -{ 1 }-> a__c :|: z = 2
   mark(z) -{ 1 }-> 1 :|: z = 1
   mark(z) -{ 1 }-> 0 :|: z = 0


----------------------------------------

(15) InliningProof (UPPER BOUND(ID))
Inlined the following terminating rules on right-hand sides where appropriate:

   a__c -{ 1 }-> 0 :|: 
   a__c -{ 1 }-> 1 :|: 
   a__c -{ 1 }-> 2 :|: 

----------------------------------------

(16)
Obligation:
Complexity RNTS consisting of the following rules:

   a__c -{ 1 }-> 2 :|: 
   a__c -{ 1 }-> 1 :|: 
   a__c -{ 1 }-> 0 :|: 
   a__f(z, z', z'') -{ 3 }-> a__f(a__f(mark(X1'), X2', mark(X3')), 1 + X1' + X2' + X3', a__f(mark(X1'), X2', mark(X3'))) :|: X3' >= 0, X2' >= 0, X1' >= 0, z'' = 1 + X1' + X2' + X3', z' = 1, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(2, 2, 2) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(2, 2, 1) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(2, 2, 0) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(1, 2, 2) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(1, 2, 1) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(1, 2, 0) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 3 }-> a__f(1, 1, 1) :|: z' = 1, z = 0, z'' = 1
   a__f(z, z', z'') -{ 5 }-> a__f(0, 2, 2) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(0, 2, 1) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(0, 2, 0) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 3 }-> a__f(0, 0, 0) :|: z'' = 0, z' = 1, z = 0
   a__f(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3
   mark(z) -{ 3 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, a__f(mark(X11), X21, mark(X31))) :|: X1'' >= 0, X11 >= 0, X21 >= 0, X3'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + (1 + X11 + X21 + X31), X31 >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 4 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, 2) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + 2, X3'' >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, 1) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + 1, X3'' >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 4 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, 1) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + 2, X3'' >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, 0) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + 0, X3'' >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 4 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, 0) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + 2, X3'' >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 4 }-> a__f(2, X2, a__f(mark(X12), X22, mark(X32))) :|: z = 1 + 2 + X2 + (1 + X12 + X22 + X32), X12 >= 0, X22 >= 0, X32 >= 0, X2 >= 0
   mark(z) -{ 5 }-> a__f(2, X2, 2) :|: z = 1 + 2 + X2 + 2, X2 >= 0
   mark(z) -{ 5 }-> a__f(2, X2, 1) :|: z = 1 + 2 + X2 + 2, X2 >= 0
   mark(z) -{ 4 }-> a__f(2, X2, 1) :|: z = 1 + 2 + X2 + 1, X2 >= 0
   mark(z) -{ 5 }-> a__f(2, X2, 0) :|: z = 1 + 2 + X2 + 2, X2 >= 0
   mark(z) -{ 4 }-> a__f(2, X2, 0) :|: z = 1 + 2 + X2 + 0, X2 >= 0
   mark(z) -{ 4 }-> a__f(1, X2, a__f(mark(X12), X22, mark(X32))) :|: z = 1 + 2 + X2 + (1 + X12 + X22 + X32), X12 >= 0, X22 >= 0, X32 >= 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(1, X2, a__f(mark(X14), X24, mark(X34))) :|: z = 1 + 1 + X2 + (1 + X14 + X24 + X34), X2 >= 0, X14 >= 0, X24 >= 0, X34 >= 0
   mark(z) -{ 5 }-> a__f(1, X2, 2) :|: z = 1 + 2 + X2 + 2, X2 >= 0
   mark(z) -{ 4 }-> a__f(1, X2, 2) :|: X2 >= 0, z = 1 + 1 + X2 + 2
   mark(z) -{ 3 }-> a__f(1, X2, 1) :|: z = 1 + 1 + X2 + 1, X2 >= 0
   mark(z) -{ 5 }-> a__f(1, X2, 1) :|: z = 1 + 2 + X2 + 2, X2 >= 0
   mark(z) -{ 4 }-> a__f(1, X2, 1) :|: z = 1 + 2 + X2 + 1, X2 >= 0
   mark(z) -{ 4 }-> a__f(1, X2, 1) :|: X2 >= 0, z = 1 + 1 + X2 + 2
   mark(z) -{ 3 }-> a__f(1, X2, 0) :|: z = 1 + 1 + X2 + 0, X2 >= 0
   mark(z) -{ 5 }-> a__f(1, X2, 0) :|: z = 1 + 2 + X2 + 2, X2 >= 0
   mark(z) -{ 4 }-> a__f(1, X2, 0) :|: z = 1 + 2 + X2 + 0, X2 >= 0
   mark(z) -{ 4 }-> a__f(1, X2, 0) :|: X2 >= 0, z = 1 + 1 + X2 + 2
   mark(z) -{ 4 }-> a__f(0, X2, a__f(mark(X12), X22, mark(X32))) :|: z = 1 + 2 + X2 + (1 + X12 + X22 + X32), X12 >= 0, X22 >= 0, X32 >= 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(0, X2, a__f(mark(X13), X23, mark(X33))) :|: X33 >= 0, X2 >= 0, z = 1 + 0 + X2 + (1 + X13 + X23 + X33), X13 >= 0, X23 >= 0
   mark(z) -{ 5 }-> a__f(0, X2, 2) :|: z = 1 + 2 + X2 + 2, X2 >= 0
   mark(z) -{ 4 }-> a__f(0, X2, 2) :|: X2 >= 0, z = 1 + 0 + X2 + 2
   mark(z) -{ 3 }-> a__f(0, X2, 1) :|: X2 >= 0, z = 1 + 0 + X2 + 1
   mark(z) -{ 5 }-> a__f(0, X2, 1) :|: z = 1 + 2 + X2 + 2, X2 >= 0
   mark(z) -{ 4 }-> a__f(0, X2, 1) :|: z = 1 + 2 + X2 + 1, X2 >= 0
   mark(z) -{ 4 }-> a__f(0, X2, 1) :|: X2 >= 0, z = 1 + 0 + X2 + 2
   mark(z) -{ 3 }-> a__f(0, X2, 0) :|: X2 >= 0, z = 1 + 0 + X2 + 0
   mark(z) -{ 5 }-> a__f(0, X2, 0) :|: z = 1 + 2 + X2 + 2, X2 >= 0
   mark(z) -{ 4 }-> a__f(0, X2, 0) :|: z = 1 + 2 + X2 + 0, X2 >= 0
   mark(z) -{ 4 }-> a__f(0, X2, 0) :|: X2 >= 0, z = 1 + 0 + X2 + 2
   mark(z) -{ 2 }-> 2 :|: z = 2
   mark(z) -{ 1 }-> 1 :|: z = 1
   mark(z) -{ 2 }-> 1 :|: z = 2
   mark(z) -{ 1 }-> 0 :|: z = 0
   mark(z) -{ 2 }-> 0 :|: z = 2


----------------------------------------

(17) SimplificationProof (BOTH BOUNDS(ID, ID))
Simplified the RNTS by moving equalities from the constraints into the right-hand sides.
----------------------------------------

(18)
Obligation:
Complexity RNTS consisting of the following rules:

   a__c -{ 1 }-> 2 :|: 
   a__c -{ 1 }-> 1 :|: 
   a__c -{ 1 }-> 0 :|: 
   a__f(z, z', z'') -{ 3 }-> a__f(a__f(mark(X1'), X2', mark(X3')), 1 + X1' + X2' + X3', a__f(mark(X1'), X2', mark(X3'))) :|: X3' >= 0, X2' >= 0, X1' >= 0, z'' = 1 + X1' + X2' + X3', z' = 1, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(2, 2, 2) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(2, 2, 1) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(2, 2, 0) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(1, 2, 2) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(1, 2, 1) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(1, 2, 0) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 3 }-> a__f(1, 1, 1) :|: z' = 1, z = 0, z'' = 1
   a__f(z, z', z'') -{ 5 }-> a__f(0, 2, 2) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(0, 2, 1) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 5 }-> a__f(0, 2, 0) :|: z' = 1, z'' = 2, z = 0
   a__f(z, z', z'') -{ 3 }-> a__f(0, 0, 0) :|: z'' = 0, z' = 1, z = 0
   a__f(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0
   mark(z) -{ 3 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, a__f(mark(X11), X21, mark(X31))) :|: X1'' >= 0, X11 >= 0, X21 >= 0, X3'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + (1 + X11 + X21 + X31), X31 >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 4 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, 2) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + 2, X3'' >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, 1) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + 1, X3'' >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 4 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, 1) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + 2, X3'' >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, 0) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + 0, X3'' >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 4 }-> a__f(a__f(mark(X1''), X2'', mark(X3'')), X2, 0) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2'' + X3'') + X2 + 2, X3'' >= 0, X2'' >= 0, X2 >= 0
   mark(z) -{ 4 }-> a__f(2, X2, a__f(mark(X12), X22, mark(X32))) :|: z = 1 + 2 + X2 + (1 + X12 + X22 + X32), X12 >= 0, X22 >= 0, X32 >= 0, X2 >= 0
   mark(z) -{ 5 }-> a__f(2, z - 5, 2) :|: z - 5 >= 0
   mark(z) -{ 5 }-> a__f(2, z - 5, 1) :|: z - 5 >= 0
   mark(z) -{ 5 }-> a__f(2, z - 5, 0) :|: z - 5 >= 0
   mark(z) -{ 4 }-> a__f(2, z - 4, 1) :|: z - 4 >= 0
   mark(z) -{ 4 }-> a__f(2, z - 3, 0) :|: z - 3 >= 0
   mark(z) -{ 4 }-> a__f(1, X2, a__f(mark(X12), X22, mark(X32))) :|: z = 1 + 2 + X2 + (1 + X12 + X22 + X32), X12 >= 0, X22 >= 0, X32 >= 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(1, X2, a__f(mark(X14), X24, mark(X34))) :|: z = 1 + 1 + X2 + (1 + X14 + X24 + X34), X2 >= 0, X14 >= 0, X24 >= 0, X34 >= 0
   mark(z) -{ 5 }-> a__f(1, z - 5, 2) :|: z - 5 >= 0
   mark(z) -{ 5 }-> a__f(1, z - 5, 1) :|: z - 5 >= 0
   mark(z) -{ 5 }-> a__f(1, z - 5, 0) :|: z - 5 >= 0
   mark(z) -{ 4 }-> a__f(1, z - 4, 2) :|: z - 4 >= 0
   mark(z) -{ 4 }-> a__f(1, z - 4, 1) :|: z - 4 >= 0
   mark(z) -{ 4 }-> a__f(1, z - 4, 0) :|: z - 4 >= 0
   mark(z) -{ 3 }-> a__f(1, z - 3, 1) :|: z - 3 >= 0
   mark(z) -{ 4 }-> a__f(1, z - 3, 0) :|: z - 3 >= 0
   mark(z) -{ 3 }-> a__f(1, z - 2, 0) :|: z - 2 >= 0
   mark(z) -{ 4 }-> a__f(0, X2, a__f(mark(X12), X22, mark(X32))) :|: z = 1 + 2 + X2 + (1 + X12 + X22 + X32), X12 >= 0, X22 >= 0, X32 >= 0, X2 >= 0
   mark(z) -{ 3 }-> a__f(0, X2, a__f(mark(X13), X23, mark(X33))) :|: X33 >= 0, X2 >= 0, z = 1 + 0 + X2 + (1 + X13 + X23 + X33), X13 >= 0, X23 >= 0
   mark(z) -{ 5 }-> a__f(0, z - 5, 2) :|: z - 5 >= 0
   mark(z) -{ 5 }-> a__f(0, z - 5, 1) :|: z - 5 >= 0
   mark(z) -{ 5 }-> a__f(0, z - 5, 0) :|: z - 5 >= 0
   mark(z) -{ 4 }-> a__f(0, z - 4, 1) :|: z - 4 >= 0
   mark(z) -{ 4 }-> a__f(0, z - 3, 2) :|: z - 3 >= 0
   mark(z) -{ 4 }-> a__f(0, z - 3, 1) :|: z - 3 >= 0
   mark(z) -{ 4 }-> a__f(0, z - 3, 0) :|: z - 3 >= 0
   mark(z) -{ 3 }-> a__f(0, z - 2, 1) :|: z - 2 >= 0
   mark(z) -{ 3 }-> a__f(0, z - 1, 0) :|: z - 1 >= 0
   mark(z) -{ 2 }-> 2 :|: z = 2
   mark(z) -{ 1 }-> 1 :|: z = 1
   mark(z) -{ 2 }-> 1 :|: z = 2
   mark(z) -{ 1 }-> 0 :|: z = 0
   mark(z) -{ 2 }-> 0 :|: z = 2


----------------------------------------

(19) CompletionProof (UPPER BOUND(ID))
The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added:
none

And the following fresh constants: none

----------------------------------------

(20)
Obligation:
Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   a__f(a, b, X) -> a__f(mark(X), X, mark(X)) [1]
   a__c -> a [1]
   a__c -> b [1]
   mark(f(X1, X2, X3)) -> a__f(mark(X1), X2, mark(X3)) [1]
   mark(c) -> a__c [1]
   mark(a) -> a [1]
   mark(b) -> b [1]
   a__f(X1, X2, X3) -> f(X1, X2, X3) [1]
   a__c -> c [1]

The TRS has the following type information:
a__f :: a:b:f:c -> a:b:f:c -> a:b:f:c -> a:b:f:c
a :: a:b:f:c
b :: a:b:f:c
mark :: a:b:f:c -> a:b:f:c
a__c :: a:b:f:c
f :: a:b:f:c -> a:b:f:c -> a:b:f:c -> a:b:f:c
c :: a:b:f:c

Rewrite Strategy: INNERMOST
----------------------------------------

(21) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID))
Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

   a => 0
   b => 1
   c => 2

----------------------------------------

(22)
Obligation:
Complexity RNTS consisting of the following rules:

   a__c -{ 1 }-> 2 :|: 
   a__c -{ 1 }-> 1 :|: 
   a__c -{ 1 }-> 0 :|: 
   a__f(z, z', z'') -{ 1 }-> a__f(mark(X), X, mark(X)) :|: z'' = X, X >= 0, z' = 1, z = 0
   a__f(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3
   mark(z) -{ 1 }-> a__f(mark(X1), X2, mark(X3)) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0
   mark(z) -{ 1 }-> a__c :|: z = 2
   mark(z) -{ 1 }-> 1 :|: z = 1
   mark(z) -{ 1 }-> 0 :|: z = 0

Only complete derivations are relevant for the runtime complexity.

----------------------------------------

(23) CpxTrsToCdtProof (UPPER BOUND(ID))
Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT
----------------------------------------

(24)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, z0) -> c1(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   A__F(a, b, z0) -> c2(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   A__F(z0, z1, z2) -> c3
   A__C -> c4
   A__C -> c5
   A__C -> c6
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   MARK(c) -> c9(A__C)
   MARK(a) -> c10
   MARK(b) -> c11
S tuples:
   A__F(a, b, z0) -> c1(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   A__F(a, b, z0) -> c2(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   A__F(z0, z1, z2) -> c3
   A__C -> c4
   A__C -> c5
   A__C -> c6
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   MARK(c) -> c9(A__C)
   MARK(a) -> c10
   MARK(b) -> c11
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, A__C, MARK_1

Compound Symbols:   c1_2, c2_2, c3, c4, c5, c6, c7_2, c8_2, c9_1, c10, c11


----------------------------------------

(25) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 7 trailing nodes:
   MARK(c) -> c9(A__C)
   A__F(z0, z1, z2) -> c3
   A__C -> c4
   A__C -> c5
   MARK(b) -> c11
   MARK(a) -> c10
   A__C -> c6

----------------------------------------

(26)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, z0) -> c1(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   A__F(a, b, z0) -> c2(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
S tuples:
   A__F(a, b, z0) -> c1(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   A__F(a, b, z0) -> c2(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_2, c2_2, c7_2, c8_2


----------------------------------------

(27) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__F(a, b, z0) -> c1(A__F(mark(z0), z0, mark(z0)), MARK(z0)) by 
   A__F(a, b, f(z0, z1, z2)) -> c1(A__F(mark(f(z0, z1, z2)), f(z0, z1, z2), a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, c) -> c1(A__F(mark(c), c, a__c), MARK(c))
   A__F(a, b, a) -> c1(A__F(mark(a), a, a), MARK(a))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b), MARK(b))
   A__F(a, b, f(z0, z1, z2)) -> c1(A__F(a__f(mark(z0), z1, mark(z2)), f(z0, z1, z2), mark(f(z0, z1, z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, c) -> c1(A__F(a__c, c, mark(c)), MARK(c))
   A__F(a, b, a) -> c1(A__F(a, a, mark(a)), MARK(a))
   A__F(a, b, b) -> c1(A__F(b, b, mark(b)), MARK(b))

----------------------------------------

(28)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, z0) -> c2(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(A__F(mark(f(z0, z1, z2)), f(z0, z1, z2), a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, c) -> c1(A__F(mark(c), c, a__c), MARK(c))
   A__F(a, b, a) -> c1(A__F(mark(a), a, a), MARK(a))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b), MARK(b))
   A__F(a, b, f(z0, z1, z2)) -> c1(A__F(a__f(mark(z0), z1, mark(z2)), f(z0, z1, z2), mark(f(z0, z1, z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, c) -> c1(A__F(a__c, c, mark(c)), MARK(c))
   A__F(a, b, a) -> c1(A__F(a, a, mark(a)), MARK(a))
   A__F(a, b, b) -> c1(A__F(b, b, mark(b)), MARK(b))
S tuples:
   A__F(a, b, z0) -> c2(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(A__F(mark(f(z0, z1, z2)), f(z0, z1, z2), a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, c) -> c1(A__F(mark(c), c, a__c), MARK(c))
   A__F(a, b, a) -> c1(A__F(mark(a), a, a), MARK(a))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b), MARK(b))
   A__F(a, b, f(z0, z1, z2)) -> c1(A__F(a__f(mark(z0), z1, mark(z2)), f(z0, z1, z2), mark(f(z0, z1, z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, c) -> c1(A__F(a__c, c, mark(c)), MARK(c))
   A__F(a, b, a) -> c1(A__F(a, a, mark(a)), MARK(a))
   A__F(a, b, b) -> c1(A__F(b, b, mark(b)), MARK(b))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c2_2, c7_2, c8_2, c1_2


----------------------------------------

(29) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 5 trailing nodes:
   A__F(a, b, c) -> c1(A__F(a__c, c, mark(c)), MARK(c))
   A__F(a, b, c) -> c1(A__F(mark(c), c, a__c), MARK(c))
   A__F(a, b, a) -> c1(A__F(a, a, mark(a)), MARK(a))
   A__F(a, b, b) -> c1(A__F(b, b, mark(b)), MARK(b))
   A__F(a, b, a) -> c1(A__F(mark(a), a, a), MARK(a))

----------------------------------------

(30)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, z0) -> c2(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(A__F(mark(f(z0, z1, z2)), f(z0, z1, z2), a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b), MARK(b))
   A__F(a, b, f(z0, z1, z2)) -> c1(A__F(a__f(mark(z0), z1, mark(z2)), f(z0, z1, z2), mark(f(z0, z1, z2))), MARK(f(z0, z1, z2)))
S tuples:
   A__F(a, b, z0) -> c2(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(A__F(mark(f(z0, z1, z2)), f(z0, z1, z2), a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b), MARK(b))
   A__F(a, b, f(z0, z1, z2)) -> c1(A__F(a__f(mark(z0), z1, mark(z2)), f(z0, z1, z2), mark(f(z0, z1, z2))), MARK(f(z0, z1, z2)))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c2_2, c7_2, c8_2, c1_2


----------------------------------------

(31) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing tuple parts
----------------------------------------

(32)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, z0) -> c2(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
S tuples:
   A__F(a, b, z0) -> c2(A__F(mark(z0), z0, mark(z0)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c2_2, c7_2, c8_2, c1_1


----------------------------------------

(33) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__F(a, b, z0) -> c2(A__F(mark(z0), z0, mark(z0)), MARK(z0)) by 
   A__F(a, b, f(z0, z1, z2)) -> c2(A__F(mark(f(z0, z1, z2)), f(z0, z1, z2), a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, c) -> c2(A__F(mark(c), c, a__c), MARK(c))
   A__F(a, b, a) -> c2(A__F(mark(a), a, a), MARK(a))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b), MARK(b))
   A__F(a, b, f(z0, z1, z2)) -> c2(A__F(a__f(mark(z0), z1, mark(z2)), f(z0, z1, z2), mark(f(z0, z1, z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, c) -> c2(A__F(a__c, c, mark(c)), MARK(c))
   A__F(a, b, a) -> c2(A__F(a, a, mark(a)), MARK(a))
   A__F(a, b, b) -> c2(A__F(b, b, mark(b)), MARK(b))

----------------------------------------

(34)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(A__F(mark(f(z0, z1, z2)), f(z0, z1, z2), a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, c) -> c2(A__F(mark(c), c, a__c), MARK(c))
   A__F(a, b, a) -> c2(A__F(mark(a), a, a), MARK(a))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b), MARK(b))
   A__F(a, b, f(z0, z1, z2)) -> c2(A__F(a__f(mark(z0), z1, mark(z2)), f(z0, z1, z2), mark(f(z0, z1, z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, c) -> c2(A__F(a__c, c, mark(c)), MARK(c))
   A__F(a, b, a) -> c2(A__F(a, a, mark(a)), MARK(a))
   A__F(a, b, b) -> c2(A__F(b, b, mark(b)), MARK(b))
S tuples:
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(A__F(mark(f(z0, z1, z2)), f(z0, z1, z2), a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, c) -> c2(A__F(mark(c), c, a__c), MARK(c))
   A__F(a, b, a) -> c2(A__F(mark(a), a, a), MARK(a))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b), MARK(b))
   A__F(a, b, f(z0, z1, z2)) -> c2(A__F(a__f(mark(z0), z1, mark(z2)), f(z0, z1, z2), mark(f(z0, z1, z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, c) -> c2(A__F(a__c, c, mark(c)), MARK(c))
   A__F(a, b, a) -> c2(A__F(a, a, mark(a)), MARK(a))
   A__F(a, b, b) -> c2(A__F(b, b, mark(b)), MARK(b))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   MARK_1, A__F_3

Compound Symbols:   c7_2, c8_2, c1_1, c2_2


----------------------------------------

(35) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 5 trailing nodes:
   A__F(a, b, c) -> c2(A__F(a__c, c, mark(c)), MARK(c))
   A__F(a, b, a) -> c2(A__F(a, a, mark(a)), MARK(a))
   A__F(a, b, a) -> c2(A__F(mark(a), a, a), MARK(a))
   A__F(a, b, c) -> c2(A__F(mark(c), c, a__c), MARK(c))
   A__F(a, b, b) -> c2(A__F(b, b, mark(b)), MARK(b))

----------------------------------------

(36)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(A__F(mark(f(z0, z1, z2)), f(z0, z1, z2), a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b), MARK(b))
   A__F(a, b, f(z0, z1, z2)) -> c2(A__F(a__f(mark(z0), z1, mark(z2)), f(z0, z1, z2), mark(f(z0, z1, z2))), MARK(f(z0, z1, z2)))
S tuples:
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(A__F(mark(f(z0, z1, z2)), f(z0, z1, z2), a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b), MARK(b))
   A__F(a, b, f(z0, z1, z2)) -> c2(A__F(a__f(mark(z0), z1, mark(z2)), f(z0, z1, z2), mark(f(z0, z1, z2))), MARK(f(z0, z1, z2)))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   MARK_1, A__F_3

Compound Symbols:   c7_2, c8_2, c1_1, c2_2


----------------------------------------

(37) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing tuple parts
----------------------------------------

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
S tuples:
   MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0))
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   MARK_1, A__F_3

Compound Symbols:   c7_2, c8_2, c1_1, c2_1


----------------------------------------

(39) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(z0, z1, z2)) -> c7(A__F(mark(z0), z1, mark(z2)), MARK(z0)) by 
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, a)) -> c7(A__F(mark(x0), x1, a), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)), MARK(c))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)), MARK(a))
   MARK(f(b, x1, x2)) -> c7(A__F(b, x1, mark(x2)), MARK(b))

----------------------------------------

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, a)) -> c7(A__F(mark(x0), x1, a), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)), MARK(c))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)), MARK(a))
   MARK(f(b, x1, x2)) -> c7(A__F(b, x1, mark(x2)), MARK(b))
S tuples:
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, a)) -> c7(A__F(mark(x0), x1, a), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)), MARK(c))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)), MARK(a))
   MARK(f(b, x1, x2)) -> c7(A__F(b, x1, mark(x2)), MARK(b))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   MARK_1, A__F_3

Compound Symbols:   c8_2, c1_1, c2_1, c7_2


----------------------------------------

(41) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   MARK(f(b, x1, x2)) -> c7(A__F(b, x1, mark(x2)), MARK(b))

----------------------------------------

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, a)) -> c7(A__F(mark(x0), x1, a), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)), MARK(c))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)), MARK(a))
S tuples:
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, a)) -> c7(A__F(mark(x0), x1, a), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)), MARK(c))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)), MARK(a))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   MARK_1, A__F_3

Compound Symbols:   c8_2, c1_1, c2_1, c7_2


----------------------------------------

(43) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing tuple parts
----------------------------------------

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
S tuples:
   MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2))
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   MARK_1, A__F_3

Compound Symbols:   c8_2, c1_1, c2_1, c7_2, c7_1


----------------------------------------

(45) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(z0, z1, z2)) -> c8(A__F(mark(z0), z1, mark(z2)), MARK(z2)) by 
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c), MARK(c))
   MARK(f(x0, x1, a)) -> c8(A__F(mark(x0), x1, a), MARK(a))
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b), MARK(b))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(b, x1, x2)) -> c8(A__F(b, x1, mark(x2)), MARK(x2))

----------------------------------------

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c), MARK(c))
   MARK(f(x0, x1, a)) -> c8(A__F(mark(x0), x1, a), MARK(a))
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b), MARK(b))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(b, x1, x2)) -> c8(A__F(b, x1, mark(x2)), MARK(x2))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c), MARK(c))
   MARK(f(x0, x1, a)) -> c8(A__F(mark(x0), x1, a), MARK(a))
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b), MARK(b))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(b, x1, x2)) -> c8(A__F(b, x1, mark(x2)), MARK(x2))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2


----------------------------------------

(47) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   MARK(f(x0, x1, a)) -> c8(A__F(mark(x0), x1, a), MARK(a))

----------------------------------------

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c), MARK(c))
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b), MARK(b))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(b, x1, x2)) -> c8(A__F(b, x1, mark(x2)), MARK(x2))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c), MARK(c))
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b), MARK(b))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(b, x1, x2)) -> c8(A__F(b, x1, mark(x2)), MARK(x2))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2


----------------------------------------

(49) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing tuple parts
----------------------------------------

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c1(A__F(mark(b), b, b))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__F(a, b, b) -> c1(A__F(mark(b), b, b)) by 
   A__F(a, b, b) -> c1(A__F(b, b, b))

----------------------------------------

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   A__F(a, b, b) -> c1(A__F(b, b, b))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   A__F(a, b, b) -> c1(A__F(b, b, b))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(53) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   A__F(a, b, b) -> c1(A__F(b, b, b))

----------------------------------------

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   A__F(a, b, b) -> c2(A__F(mark(b), b, b))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A__F(a, b, b) -> c2(A__F(mark(b), b, b)) by 
   A__F(a, b, b) -> c2(A__F(b, b, b))

----------------------------------------

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   A__F(a, b, b) -> c2(A__F(b, b, b))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   A__F(a, b, b) -> c2(A__F(b, b, b))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(57) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(f(x0, x1, b)) -> c8(A__F(mark(x0), x1, b))
   A__F(a, b, b) -> c2(A__F(b, b, b))

----------------------------------------

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(x0, x1, b)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(59) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(61) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(x0, x1, f(z0, z1, z2))) -> c7(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(x0)) by 
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(c))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(a))
   MARK(f(b, x1, f(x2, x3, x4))) -> c7(A__F(b, x1, a__f(mark(x2), x3, mark(x4))), MARK(b))

----------------------------------------

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(c))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(a))
   MARK(f(b, x1, f(x2, x3, x4))) -> c7(A__F(b, x1, a__f(mark(x2), x3, mark(x4))), MARK(b))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(c))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(a))
   MARK(f(b, x1, f(x2, x3, x4))) -> c7(A__F(b, x1, a__f(mark(x2), x3, mark(x4))), MARK(b))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(63) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   MARK(f(b, x1, f(x2, x3, x4))) -> c7(A__F(b, x1, a__f(mark(x2), x3, mark(x4))), MARK(b))

----------------------------------------

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(c))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(a))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(c))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(a))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(65) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(67) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a__c), MARK(x0)) by 
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, c), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c), MARK(c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c), MARK(a))
   MARK(f(b, x1, c)) -> c7(A__F(b, x1, a__c), MARK(b))

----------------------------------------

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, c), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c), MARK(c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c), MARK(a))
   MARK(f(b, x1, c)) -> c7(A__F(b, x1, a__c), MARK(b))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, c), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c), MARK(c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c), MARK(a))
   MARK(f(b, x1, c)) -> c7(A__F(b, x1, a__c), MARK(b))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(69) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   MARK(f(b, x1, c)) -> c7(A__F(b, x1, a__c), MARK(b))

----------------------------------------

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, c), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c), MARK(c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c), MARK(a))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, a), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, b), MARK(x0))
   MARK(f(x0, x1, c)) -> c7(A__F(mark(x0), x1, c), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c), MARK(c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c), MARK(a))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(71) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 5 trailing tuple parts
----------------------------------------

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_2, c7_1, c8_2, c8_1


----------------------------------------

(73) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(f(z0, z1, z2), x1, x2)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(f(z0, z1, z2))) by 
   MARK(f(f(x0, x1, x2), x3, f(z0, z1, z2))) -> c7(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__f(mark(z0), z1, mark(z2))), MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, c)) -> c7(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c), MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(A__F(a__f(mark(x0), x1, mark(x2)), x3, a), MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(A__F(a__f(mark(x0), x1, mark(x2)), x3, b), MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(A__F(f(mark(x0), z1, mark(x2)), x3, mark(x4)), MARK(f(x0, z1, x2)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))

----------------------------------------

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(A__F(a__f(mark(x0), x1, mark(x2)), x3, a), MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(A__F(a__f(mark(x0), x1, mark(x2)), x3, b), MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(A__F(f(mark(x0), z1, mark(x2)), x3, mark(x4)), MARK(f(x0, z1, x2)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(A__F(a__f(mark(x0), x1, mark(x2)), x3, a), MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(A__F(a__f(mark(x0), x1, mark(x2)), x3, b), MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(A__F(f(mark(x0), z1, mark(x2)), x3, mark(x4)), MARK(f(x0, z1, x2)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(75) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing tuple parts
----------------------------------------

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2)))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(77) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(c, x1, x2)) -> c7(A__F(a__c, x1, mark(x2))) by 
   MARK(f(c, x0, f(z0, z1, z2))) -> c7(A__F(a__c, x0, a__f(mark(z0), z1, mark(z2))))
   MARK(f(c, x0, c)) -> c7(A__F(a__c, x0, a__c))
   MARK(f(c, x0, a)) -> c7(A__F(a__c, x0, a))
   MARK(f(c, x0, b)) -> c7(A__F(a__c, x0, b))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(c, x0, x1)) -> c7(A__F(b, x0, mark(x1)))
   MARK(f(c, x0, x1)) -> c7(A__F(c, x0, mark(x1)))

----------------------------------------

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, a)) -> c7(A__F(a__c, x0, a))
   MARK(f(c, x0, b)) -> c7(A__F(a__c, x0, b))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(c, x0, x1)) -> c7(A__F(b, x0, mark(x1)))
   MARK(f(c, x0, x1)) -> c7(A__F(c, x0, mark(x1)))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, a)) -> c7(A__F(a__c, x0, a))
   MARK(f(c, x0, b)) -> c7(A__F(a__c, x0, b))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(c, x0, x1)) -> c7(A__F(b, x0, mark(x1)))
   MARK(f(c, x0, x1)) -> c7(A__F(c, x0, mark(x1)))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(79) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   MARK(f(c, x0, b)) -> c7(A__F(a__c, x0, b))
   MARK(f(c, x0, a)) -> c7(A__F(a__c, x0, a))
   MARK(f(c, x0, x1)) -> c7(A__F(b, x0, mark(x1)))
   MARK(f(c, x0, x1)) -> c7(A__F(c, x0, mark(x1)))

----------------------------------------

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2)))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(81) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(a, x1, x2)) -> c7(A__F(a, x1, mark(x2))) by 
   MARK(f(a, x0, f(z0, z1, z2))) -> c7(A__F(a, x0, a__f(mark(z0), z1, mark(z2))))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, a__c))
   MARK(f(a, x0, a)) -> c7(A__F(a, x0, a))
   MARK(f(a, x0, b)) -> c7(A__F(a, x0, b))

----------------------------------------

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(a, x0, a)) -> c7(A__F(a, x0, a))
   MARK(f(a, x0, b)) -> c7(A__F(a, x0, b))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(a, x0, a)) -> c7(A__F(a, x0, a))
   MARK(f(a, x0, b)) -> c7(A__F(a, x0, b))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(83) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(f(a, x0, a)) -> c7(A__F(a, x0, a))
   MARK(f(a, x0, b)) -> c7(A__F(a, x0, b))

----------------------------------------

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(85) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(x0, x1, f(z0, z1, z2))) -> c8(A__F(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2))) by 
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(A__F(b, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))

----------------------------------------

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(A__F(b, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(A__F(b, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(87) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(89) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(f(z0, z1, z2), x1, x2)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), MARK(x2)) by 
   MARK(f(f(x0, x1, x2), x3, f(z0, z1, z2))) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c), MARK(c))
   MARK(f(f(x0, x1, x2), x3, a)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a), MARK(a))
   MARK(f(f(x0, x1, x2), x3, b)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, b), MARK(b))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(A__F(f(mark(x0), z1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))

----------------------------------------

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c), MARK(c))
   MARK(f(f(x0, x1, x2), x3, a)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a), MARK(a))
   MARK(f(f(x0, x1, x2), x3, b)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, b), MARK(b))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(A__F(f(mark(x0), z1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c), MARK(c))
   MARK(f(f(x0, x1, x2), x3, a)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a), MARK(a))
   MARK(f(f(x0, x1, x2), x3, b)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, b), MARK(b))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(A__F(f(mark(x0), z1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(91) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(f(f(x0, x1, x2), x3, b)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, b), MARK(b))
   MARK(f(f(x0, x1, x2), x3, a)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a), MARK(a))

----------------------------------------

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c), MARK(c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(A__F(f(mark(x0), z1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c), MARK(c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(A__F(f(mark(x0), z1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(93) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(95) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(c, x1, x2)) -> c8(A__F(a__c, x1, mark(x2)), MARK(x2)) by 
   MARK(f(c, x0, f(z0, z1, z2))) -> c8(A__F(a__c, x0, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c), MARK(c))
   MARK(f(c, x0, a)) -> c8(A__F(a__c, x0, a), MARK(a))
   MARK(f(c, x0, b)) -> c8(A__F(a__c, x0, b), MARK(b))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, x1)) -> c8(A__F(b, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, x1)) -> c8(A__F(c, x0, mark(x1)), MARK(x1))

----------------------------------------

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c), MARK(c))
   MARK(f(c, x0, a)) -> c8(A__F(a__c, x0, a), MARK(a))
   MARK(f(c, x0, b)) -> c8(A__F(a__c, x0, b), MARK(b))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, x1)) -> c8(A__F(b, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, x1)) -> c8(A__F(c, x0, mark(x1)), MARK(x1))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c), MARK(c))
   MARK(f(c, x0, a)) -> c8(A__F(a__c, x0, a), MARK(a))
   MARK(f(c, x0, b)) -> c8(A__F(a__c, x0, b), MARK(b))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, x1)) -> c8(A__F(b, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, x1)) -> c8(A__F(c, x0, mark(x1)), MARK(x1))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(97) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(f(c, x0, b)) -> c8(A__F(a__c, x0, b), MARK(b))
   MARK(f(c, x0, a)) -> c8(A__F(a__c, x0, a), MARK(a))

----------------------------------------

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c), MARK(c))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, x1)) -> c8(A__F(b, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, x1)) -> c8(A__F(c, x0, mark(x1)), MARK(x1))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c), MARK(c))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, x1)) -> c8(A__F(b, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, x1)) -> c8(A__F(c, x0, mark(x1)), MARK(x1))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(99) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing tuple parts
----------------------------------------

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_2, c8_1, c7_2


----------------------------------------

(101) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(a, x1, x2)) -> c8(A__F(a, x1, mark(x2)), MARK(x2)) by 
   MARK(f(a, x0, f(z0, z1, z2))) -> c8(A__F(a, x0, a__f(mark(z0), z1, mark(z2))), MARK(f(z0, z1, z2)))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c), MARK(c))
   MARK(f(a, x0, a)) -> c8(A__F(a, x0, a), MARK(a))
   MARK(f(a, x0, b)) -> c8(A__F(a, x0, b), MARK(b))

----------------------------------------

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c), MARK(c))
   MARK(f(a, x0, a)) -> c8(A__F(a, x0, a), MARK(a))
   MARK(f(a, x0, b)) -> c8(A__F(a, x0, b), MARK(b))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c), MARK(c))
   MARK(f(a, x0, a)) -> c8(A__F(a, x0, a), MARK(a))
   MARK(f(a, x0, b)) -> c8(A__F(a, x0, b), MARK(b))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(103) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   MARK(f(a, x0, b)) -> c8(A__F(a, x0, b), MARK(b))
   MARK(f(a, x0, a)) -> c8(A__F(a, x0, a), MARK(a))

----------------------------------------

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c), MARK(c))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c), MARK(c))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(105) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(107) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a__c)) by 
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, b))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, c))
   MARK(f(f(z0, z1, z2), x1, c)) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c))
   MARK(f(c, x1, c)) -> c8(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c8(A__F(a, x1, a__c))
   MARK(f(b, x1, c)) -> c8(A__F(b, x1, a__c))

----------------------------------------

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, b))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, c))
   MARK(f(b, x1, c)) -> c8(A__F(b, x1, a__c))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, b))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, c))
   MARK(f(b, x1, c)) -> c8(A__F(b, x1, a__c))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(109) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, c))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, b))
   MARK(f(b, x1, c)) -> c8(A__F(b, x1, a__c))
   MARK(f(x0, x1, c)) -> c8(A__F(mark(x0), x1, a))

----------------------------------------

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(111) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c)) by 
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, a))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, b))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, c))

----------------------------------------

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(a, x1, c)) -> c7(A__F(a, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, a))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, b))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, c))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, a))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, b))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, c))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(113) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing nodes:
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, b))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, a))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, c))

----------------------------------------

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, a__c))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(115) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(a, x0, c)) -> c7(A__F(a, x0, a__c)) by 
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, a))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, b))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, c))

----------------------------------------

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, a))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, b))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, c))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(117) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing nodes:
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, b))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, a))
   MARK(f(a, x0, c)) -> c7(A__F(a, x0, c))

----------------------------------------

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(119) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c)) by 
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, b))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, c))

----------------------------------------

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a__c))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, b))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, c))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, b))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, c))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(121) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing nodes:
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, b))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, c))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a))

----------------------------------------

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x1, c)) -> c8(A__F(a, x1, a__c))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(123) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(f(a, x1, c)) -> c8(A__F(a, x1, a__c)) by 
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, b))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, c))

----------------------------------------

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, b))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, c))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(125) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing nodes:
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, a))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, c))
   MARK(f(a, x0, c)) -> c8(A__F(a, x0, b))

----------------------------------------

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(127) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2))) by 
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))

----------------------------------------

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2)))
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c1_1, c2_1, c7_1, c8_1, c7_2, c8_2


----------------------------------------

(129) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__F(a, b, f(z0, z1, z2)) -> c1(MARK(f(z0, z1, z2))) by 
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))

----------------------------------------

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
S tuples:
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c2_1, c7_1, c8_1, c7_2, c8_2, c1_1


----------------------------------------

(131) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2))) by 
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))

----------------------------------------

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
S tuples:
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   A__F_3, MARK_1

Compound Symbols:   c2_1, c7_1, c8_1, c7_2, c8_2, c1_1


----------------------------------------

(133) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace A__F(a, b, f(z0, z1, z2)) -> c2(MARK(f(z0, z1, z2))) by 
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))

----------------------------------------

(134)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
S tuples:
   MARK(f(x0, x1, a)) -> c7(MARK(x0))
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   MARK_1, A__F_3

Compound Symbols:   c7_1, c8_1, c7_2, c8_2, c1_1, c2_1


----------------------------------------

(135) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(f(x0, x1, a)) -> c7(MARK(x0)) by 
   MARK(f(f(y0, y1, a), z1, a)) -> c7(MARK(f(y0, y1, a)))
   MARK(f(f(b, y0, y1), z1, a)) -> c7(MARK(f(b, y0, y1)))
   MARK(f(f(y0, y1, b), z1, a)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, a)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, a)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, a)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, a)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, a)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, a)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))

----------------------------------------

(136)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
   MARK(f(f(y0, y1, a), z1, a)) -> c7(MARK(f(y0, y1, a)))
   MARK(f(f(b, y0, y1), z1, a)) -> c7(MARK(f(b, y0, y1)))
   MARK(f(f(y0, y1, b), z1, a)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, a)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, a)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, a)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, a)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, a)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, a)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
S tuples:
   MARK(f(b, x1, x2)) -> c8(MARK(x2))
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
   MARK(f(f(y0, y1, a), z1, a)) -> c7(MARK(f(y0, y1, a)))
   MARK(f(f(b, y0, y1), z1, a)) -> c7(MARK(f(b, y0, y1)))
   MARK(f(f(y0, y1, b), z1, a)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, a)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, a)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, a)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, a)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, a)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, a)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   MARK_1, A__F_3

Compound Symbols:   c8_1, c7_1, c7_2, c8_2, c1_1, c2_1


----------------------------------------

(137) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(f(b, x1, x2)) -> c8(MARK(x2)) by 
   MARK(f(b, z0, f(b, y0, y1))) -> c8(MARK(f(b, y0, y1)))
   MARK(f(b, z0, f(y0, y1, b))) -> c8(MARK(f(y0, y1, b)))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, y4)))) -> c8(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, f(y4, y5, y6))))) -> c8(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, c)))) -> c8(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, a)))) -> c8(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, b)))) -> c8(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(b, z0, f(y0, y1, f(f(y2, y3, y4), y5, y6)))) -> c8(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(b, z0, f(y0, y1, f(c, y2, y3)))) -> c8(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(a, y2, y3)))) -> c8(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(b, y2, y3)))) -> c8(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, f(y4, y5, y6)))) -> c8(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(b, z0, f(c, y0, f(y1, y2, y3)))) -> c8(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(a, y0, f(y1, y2, y3)))) -> c8(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, c))) -> c8(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(b, z0, f(y0, y1, c))) -> c8(MARK(f(y0, y1, c)))
   MARK(f(b, z0, f(c, y0, c))) -> c8(MARK(f(c, y0, c)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, y6))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, y3))) -> c8(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, a), y2, y3))) -> c8(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, y3))) -> c8(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, y6))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, y3))) -> c8(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(a, y0, y1), y2, y3))) -> c8(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, y3))) -> c8(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, a))) -> c8(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, b))) -> c8(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, y4))) -> c8(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(b, z0, f(c, y0, y1))) -> c8(MARK(f(c, y0, y1)))
   MARK(f(b, z0, f(b, y0, f(y1, y2, y3)))) -> c8(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, a), y2, a))) -> c8(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, a))) -> c8(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, a))) -> c8(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, c)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, a)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, b)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a))) -> c8(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(c, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(a, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(b, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(c, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(a, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, c), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, a))) -> c8(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(b, z0, f(f(c, y0, c), y1, a))) -> c8(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(b, z0, f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a))) -> c8(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(y0, y1, c), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, a), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, b), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a))) -> c8(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(c, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(a, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(b, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, a), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, b), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, a))) -> c8(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(b, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))

----------------------------------------

(138)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
   MARK(f(f(y0, y1, a), z1, a)) -> c7(MARK(f(y0, y1, a)))
   MARK(f(f(b, y0, y1), z1, a)) -> c7(MARK(f(b, y0, y1)))
   MARK(f(f(y0, y1, b), z1, a)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, a)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, a)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, a)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, a)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, a)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, a)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(b, y0, y1))) -> c8(MARK(f(b, y0, y1)))
   MARK(f(b, z0, f(y0, y1, b))) -> c8(MARK(f(y0, y1, b)))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, y4)))) -> c8(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, f(y4, y5, y6))))) -> c8(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, c)))) -> c8(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, a)))) -> c8(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, b)))) -> c8(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(b, z0, f(y0, y1, f(f(y2, y3, y4), y5, y6)))) -> c8(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(b, z0, f(y0, y1, f(c, y2, y3)))) -> c8(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(a, y2, y3)))) -> c8(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(b, y2, y3)))) -> c8(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, f(y4, y5, y6)))) -> c8(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(b, z0, f(c, y0, f(y1, y2, y3)))) -> c8(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(a, y0, f(y1, y2, y3)))) -> c8(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, c))) -> c8(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(b, z0, f(y0, y1, c))) -> c8(MARK(f(y0, y1, c)))
   MARK(f(b, z0, f(c, y0, c))) -> c8(MARK(f(c, y0, c)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, y6))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, y3))) -> c8(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, a), y2, y3))) -> c8(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, y3))) -> c8(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, y6))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, y3))) -> c8(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(a, y0, y1), y2, y3))) -> c8(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, y3))) -> c8(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, a))) -> c8(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, b))) -> c8(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, y4))) -> c8(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(b, z0, f(c, y0, y1))) -> c8(MARK(f(c, y0, y1)))
   MARK(f(b, z0, f(b, y0, f(y1, y2, y3)))) -> c8(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, a), y2, a))) -> c8(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, a))) -> c8(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, a))) -> c8(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, c)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, a)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, b)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a))) -> c8(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(c, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(a, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(b, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(c, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(a, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, c), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, a))) -> c8(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(b, z0, f(f(c, y0, c), y1, a))) -> c8(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(b, z0, f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a))) -> c8(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(y0, y1, c), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, a), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, b), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a))) -> c8(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(c, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(a, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(b, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, a), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, b), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, a))) -> c8(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(b, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
S tuples:
   MARK(f(x0, x1, b)) -> c7(MARK(x0))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
   MARK(f(f(y0, y1, a), z1, a)) -> c7(MARK(f(y0, y1, a)))
   MARK(f(f(b, y0, y1), z1, a)) -> c7(MARK(f(b, y0, y1)))
   MARK(f(f(y0, y1, b), z1, a)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, a)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, a)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, a)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, a)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, a)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, a)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(b, y0, y1))) -> c8(MARK(f(b, y0, y1)))
   MARK(f(b, z0, f(y0, y1, b))) -> c8(MARK(f(y0, y1, b)))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, y4)))) -> c8(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, f(y4, y5, y6))))) -> c8(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, c)))) -> c8(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, a)))) -> c8(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, b)))) -> c8(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(b, z0, f(y0, y1, f(f(y2, y3, y4), y5, y6)))) -> c8(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(b, z0, f(y0, y1, f(c, y2, y3)))) -> c8(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(a, y2, y3)))) -> c8(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(b, y2, y3)))) -> c8(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, f(y4, y5, y6)))) -> c8(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(b, z0, f(c, y0, f(y1, y2, y3)))) -> c8(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(a, y0, f(y1, y2, y3)))) -> c8(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, c))) -> c8(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(b, z0, f(y0, y1, c))) -> c8(MARK(f(y0, y1, c)))
   MARK(f(b, z0, f(c, y0, c))) -> c8(MARK(f(c, y0, c)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, y6))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, y3))) -> c8(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, a), y2, y3))) -> c8(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, y3))) -> c8(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, y6))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, y3))) -> c8(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(a, y0, y1), y2, y3))) -> c8(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, y3))) -> c8(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, a))) -> c8(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, b))) -> c8(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, y4))) -> c8(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(b, z0, f(c, y0, y1))) -> c8(MARK(f(c, y0, y1)))
   MARK(f(b, z0, f(b, y0, f(y1, y2, y3)))) -> c8(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, a), y2, a))) -> c8(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, a))) -> c8(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, a))) -> c8(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, c)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, a)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, b)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a))) -> c8(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(c, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(a, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(b, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(c, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(a, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, c), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, a))) -> c8(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(b, z0, f(f(c, y0, c), y1, a))) -> c8(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(b, z0, f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a))) -> c8(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(y0, y1, c), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, a), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, b), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a))) -> c8(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(c, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(a, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(b, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, a), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, b), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, a))) -> c8(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(b, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   MARK_1, A__F_3

Compound Symbols:   c7_1, c7_2, c8_2, c8_1, c1_1, c2_1


----------------------------------------

(139) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(f(x0, x1, b)) -> c7(MARK(x0)) by 
   MARK(f(f(y0, y1, b), z1, b)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, b)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, b)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, b)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, b)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, a), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(f(f(b, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(f(f(y0, y1, b), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(f(f(y0, y1, c), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(f(f(c, y0, c), y1, a), z1, b)) -> c7(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(f(f(c, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(b, y0, f(b, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, y2))))
   MARK(f(f(b, y0, f(y1, y2, b)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, b))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, y5)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7))))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, c)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, a)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, b)))))
   MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7)))))
   MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(c, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(a, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(b, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7)))))
   MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(a, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, c))))
   MARK(f(f(b, y0, f(y1, y2, c)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, c))))
   MARK(f(f(b, y0, f(c, y1, c)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, c))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, y4))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, a))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, b))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, y5))))
   MARK(f(f(b, y0, f(c, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, y2))))
   MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, a))))
   MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, c), y2, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a))))

----------------------------------------

(140)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
   MARK(f(f(y0, y1, a), z1, a)) -> c7(MARK(f(y0, y1, a)))
   MARK(f(f(b, y0, y1), z1, a)) -> c7(MARK(f(b, y0, y1)))
   MARK(f(f(y0, y1, b), z1, a)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, a)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, a)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, a)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, a)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, a)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, a)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(b, y0, y1))) -> c8(MARK(f(b, y0, y1)))
   MARK(f(b, z0, f(y0, y1, b))) -> c8(MARK(f(y0, y1, b)))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, y4)))) -> c8(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, f(y4, y5, y6))))) -> c8(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, c)))) -> c8(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, a)))) -> c8(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, b)))) -> c8(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(b, z0, f(y0, y1, f(f(y2, y3, y4), y5, y6)))) -> c8(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(b, z0, f(y0, y1, f(c, y2, y3)))) -> c8(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(a, y2, y3)))) -> c8(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(b, y2, y3)))) -> c8(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, f(y4, y5, y6)))) -> c8(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(b, z0, f(c, y0, f(y1, y2, y3)))) -> c8(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(a, y0, f(y1, y2, y3)))) -> c8(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, c))) -> c8(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(b, z0, f(y0, y1, c))) -> c8(MARK(f(y0, y1, c)))
   MARK(f(b, z0, f(c, y0, c))) -> c8(MARK(f(c, y0, c)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, y6))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, y3))) -> c8(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, a), y2, y3))) -> c8(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, y3))) -> c8(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, y6))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, y3))) -> c8(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(a, y0, y1), y2, y3))) -> c8(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, y3))) -> c8(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, a))) -> c8(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, b))) -> c8(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, y4))) -> c8(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(b, z0, f(c, y0, y1))) -> c8(MARK(f(c, y0, y1)))
   MARK(f(b, z0, f(b, y0, f(y1, y2, y3)))) -> c8(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, a), y2, a))) -> c8(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, a))) -> c8(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, a))) -> c8(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, c)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, a)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, b)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a))) -> c8(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(c, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(a, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(b, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(c, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(a, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, c), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, a))) -> c8(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(b, z0, f(f(c, y0, c), y1, a))) -> c8(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(b, z0, f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a))) -> c8(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(y0, y1, c), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, a), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, b), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a))) -> c8(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(c, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(a, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(b, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, a), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, b), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, a))) -> c8(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(b, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(y0, y1, b), z1, b)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, b)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, b)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, b)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, b)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, a), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(f(f(b, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(f(f(y0, y1, b), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(f(f(y0, y1, c), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(f(f(c, y0, c), y1, a), z1, b)) -> c7(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(f(f(c, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(b, y0, f(b, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, y2))))
   MARK(f(f(b, y0, f(y1, y2, b)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, b))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, y5)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7))))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, c)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, a)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, b)))))
   MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7)))))
   MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(c, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(a, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(b, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7)))))
   MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(a, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, c))))
   MARK(f(f(b, y0, f(y1, y2, c)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, c))))
   MARK(f(f(b, y0, f(c, y1, c)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, c))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, y4))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, a))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, b))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, y5))))
   MARK(f(f(b, y0, f(c, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, y2))))
   MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, a))))
   MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, c), y2, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a))))
S tuples:
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
   MARK(f(f(y0, y1, a), z1, a)) -> c7(MARK(f(y0, y1, a)))
   MARK(f(f(b, y0, y1), z1, a)) -> c7(MARK(f(b, y0, y1)))
   MARK(f(f(y0, y1, b), z1, a)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, a)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, a)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, a)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, a)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, a)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, a)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(b, y0, y1))) -> c8(MARK(f(b, y0, y1)))
   MARK(f(b, z0, f(y0, y1, b))) -> c8(MARK(f(y0, y1, b)))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, y4)))) -> c8(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, f(y4, y5, y6))))) -> c8(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, c)))) -> c8(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, a)))) -> c8(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, b)))) -> c8(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(b, z0, f(y0, y1, f(f(y2, y3, y4), y5, y6)))) -> c8(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(b, z0, f(y0, y1, f(c, y2, y3)))) -> c8(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(a, y2, y3)))) -> c8(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(b, y2, y3)))) -> c8(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, f(y4, y5, y6)))) -> c8(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(b, z0, f(c, y0, f(y1, y2, y3)))) -> c8(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(a, y0, f(y1, y2, y3)))) -> c8(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, c))) -> c8(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(b, z0, f(y0, y1, c))) -> c8(MARK(f(y0, y1, c)))
   MARK(f(b, z0, f(c, y0, c))) -> c8(MARK(f(c, y0, c)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, y6))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, y3))) -> c8(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, a), y2, y3))) -> c8(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, y3))) -> c8(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, y6))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, y3))) -> c8(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(a, y0, y1), y2, y3))) -> c8(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, y3))) -> c8(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, a))) -> c8(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, b))) -> c8(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, y4))) -> c8(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(b, z0, f(c, y0, y1))) -> c8(MARK(f(c, y0, y1)))
   MARK(f(b, z0, f(b, y0, f(y1, y2, y3)))) -> c8(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, a), y2, a))) -> c8(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, a))) -> c8(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, a))) -> c8(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, c)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, a)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, b)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a))) -> c8(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(c, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(a, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(b, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(c, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(a, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, c), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, a))) -> c8(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(b, z0, f(f(c, y0, c), y1, a))) -> c8(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(b, z0, f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a))) -> c8(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(y0, y1, c), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, a), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, b), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a))) -> c8(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(c, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(a, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(b, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, a), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, b), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, a))) -> c8(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(b, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(y0, y1, b), z1, b)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, b)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, b)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, b)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, b)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, a), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(f(f(b, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(f(f(y0, y1, b), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(f(f(y0, y1, c), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(f(f(c, y0, c), y1, a), z1, b)) -> c7(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(f(f(c, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(b, y0, f(b, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, y2))))
   MARK(f(f(b, y0, f(y1, y2, b)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, b))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, y5)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7))))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, c)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, a)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, b)))))
   MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7)))))
   MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(c, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(a, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(b, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7)))))
   MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(a, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, c))))
   MARK(f(f(b, y0, f(y1, y2, c)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, c))))
   MARK(f(f(b, y0, f(c, y1, c)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, c))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, y4))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, a))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, b))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, y5))))
   MARK(f(f(b, y0, f(c, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, y2))))
   MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, a))))
   MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, c), y2, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a))))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   MARK_1, A__F_3

Compound Symbols:   c7_2, c7_1, c8_2, c8_1, c1_1, c2_1


----------------------------------------

(141) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(f(x0, x1, c)) -> c7(MARK(x0)) by 
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, c)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, c)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, c)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, c)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, a), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(f(f(b, y0, y1), y2, a), z1, c)) -> c7(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(f(f(y0, y1, b), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(f(f(y0, y1, c), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(f(f(c, y0, c), y1, a), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(f(f(c, y0, y1), y2, a), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(b, y0, f(b, y1, y2)), z1, c)) -> c7(MARK(f(b, y0, f(b, y1, y2))))
   MARK(f(f(b, y0, f(y1, y2, b)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, b))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, y5)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7))))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, c)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, a)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, b)))))
   MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7)))))
   MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(c, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(a, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(b, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7)))))
   MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(a, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, c))))
   MARK(f(f(b, y0, f(y1, y2, c)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, c))))
   MARK(f(f(b, y0, f(c, y1, c)), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, c))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, y4))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(a, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, a))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, b))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, y5))))
   MARK(f(f(b, y0, f(c, y1, y2)), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, y2))))
   MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(b, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, a))))
   MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, c), y2, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(f(y0, y1, b), y2, b), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, b)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, b)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, b)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, b)))
   MARK(f(f(f(y0, y1, c), y2, b), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, b)))
   MARK(f(f(f(c, y0, c), y1, b), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, b)))
   MARK(f(f(f(c, y0, y1), y2, b), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, b)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, a), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, a), y3, b)))
   MARK(f(f(f(f(b, y0, y1), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, a), y3, b)))
   MARK(f(f(f(f(y0, y1, b), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, a), y3, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b)))
   MARK(f(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b)))
   MARK(f(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, c), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, a), y3, b)))
   MARK(f(f(f(f(c, y0, c), y1, a), y2, b), z1, c)) -> c7(MARK(f(f(f(c, y0, c), y1, a), y2, b)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b)))
   MARK(f(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b)))
   MARK(f(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b)))
   MARK(f(f(f(f(c, y0, y1), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, a), y3, b)))
   MARK(f(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(b, y0, f(b, y1, y2)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, y2)), y3, b)))
   MARK(f(f(f(b, y0, f(y1, y2, b)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, b)), y3, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b)))
   MARK(f(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, c)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, c)), y3, b)))
   MARK(f(f(f(b, y0, f(c, y1, c)), y2, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, c)), y2, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b)))
   MARK(f(f(f(b, y0, f(c, y1, y2)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, y2)), y3, b)))
   MARK(f(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b)))

----------------------------------------

(142)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
   MARK(f(f(y0, y1, a), z1, a)) -> c7(MARK(f(y0, y1, a)))
   MARK(f(f(b, y0, y1), z1, a)) -> c7(MARK(f(b, y0, y1)))
   MARK(f(f(y0, y1, b), z1, a)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, a)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, a)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, a)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, a)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, a)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, a)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(b, y0, y1))) -> c8(MARK(f(b, y0, y1)))
   MARK(f(b, z0, f(y0, y1, b))) -> c8(MARK(f(y0, y1, b)))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, y4)))) -> c8(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, f(y4, y5, y6))))) -> c8(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, c)))) -> c8(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, a)))) -> c8(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, b)))) -> c8(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(b, z0, f(y0, y1, f(f(y2, y3, y4), y5, y6)))) -> c8(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(b, z0, f(y0, y1, f(c, y2, y3)))) -> c8(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(a, y2, y3)))) -> c8(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(b, y2, y3)))) -> c8(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, f(y4, y5, y6)))) -> c8(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(b, z0, f(c, y0, f(y1, y2, y3)))) -> c8(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(a, y0, f(y1, y2, y3)))) -> c8(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, c))) -> c8(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(b, z0, f(y0, y1, c))) -> c8(MARK(f(y0, y1, c)))
   MARK(f(b, z0, f(c, y0, c))) -> c8(MARK(f(c, y0, c)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, y6))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, y3))) -> c8(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, a), y2, y3))) -> c8(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, y3))) -> c8(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, y6))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, y3))) -> c8(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(a, y0, y1), y2, y3))) -> c8(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, y3))) -> c8(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, a))) -> c8(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, b))) -> c8(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, y4))) -> c8(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(b, z0, f(c, y0, y1))) -> c8(MARK(f(c, y0, y1)))
   MARK(f(b, z0, f(b, y0, f(y1, y2, y3)))) -> c8(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, a), y2, a))) -> c8(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, a))) -> c8(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, a))) -> c8(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, c)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, a)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, b)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a))) -> c8(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(c, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(a, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(b, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(c, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(a, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, c), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, a))) -> c8(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(b, z0, f(f(c, y0, c), y1, a))) -> c8(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(b, z0, f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a))) -> c8(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(y0, y1, c), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, a), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, b), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a))) -> c8(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(c, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(a, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(b, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, a), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, b), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, a))) -> c8(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(b, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(y0, y1, b), z1, b)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, b)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, b)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, b)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, b)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, a), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(f(f(b, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(f(f(y0, y1, b), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(f(f(y0, y1, c), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(f(f(c, y0, c), y1, a), z1, b)) -> c7(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(f(f(c, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(b, y0, f(b, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, y2))))
   MARK(f(f(b, y0, f(y1, y2, b)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, b))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, y5)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7))))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, c)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, a)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, b)))))
   MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7)))))
   MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(c, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(a, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(b, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7)))))
   MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(a, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, c))))
   MARK(f(f(b, y0, f(y1, y2, c)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, c))))
   MARK(f(f(b, y0, f(c, y1, c)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, c))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, y4))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, a))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, b))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, y5))))
   MARK(f(f(b, y0, f(c, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, y2))))
   MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, a))))
   MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, c), y2, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, c)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, c)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, c)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, c)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, a), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(f(f(b, y0, y1), y2, a), z1, c)) -> c7(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(f(f(y0, y1, b), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(f(f(y0, y1, c), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(f(f(c, y0, c), y1, a), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(f(f(c, y0, y1), y2, a), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(b, y0, f(b, y1, y2)), z1, c)) -> c7(MARK(f(b, y0, f(b, y1, y2))))
   MARK(f(f(b, y0, f(y1, y2, b)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, b))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, y5)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7))))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, c)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, a)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, b)))))
   MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7)))))
   MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(c, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(a, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(b, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7)))))
   MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(a, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, c))))
   MARK(f(f(b, y0, f(y1, y2, c)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, c))))
   MARK(f(f(b, y0, f(c, y1, c)), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, c))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, y4))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(a, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, a))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, b))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, y5))))
   MARK(f(f(b, y0, f(c, y1, y2)), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, y2))))
   MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(b, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, a))))
   MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, c), y2, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(f(y0, y1, b), y2, b), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, b)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, b)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, b)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, b)))
   MARK(f(f(f(y0, y1, c), y2, b), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, b)))
   MARK(f(f(f(c, y0, c), y1, b), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, b)))
   MARK(f(f(f(c, y0, y1), y2, b), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, b)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, a), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, a), y3, b)))
   MARK(f(f(f(f(b, y0, y1), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, a), y3, b)))
   MARK(f(f(f(f(y0, y1, b), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, a), y3, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b)))
   MARK(f(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b)))
   MARK(f(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, c), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, a), y3, b)))
   MARK(f(f(f(f(c, y0, c), y1, a), y2, b), z1, c)) -> c7(MARK(f(f(f(c, y0, c), y1, a), y2, b)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b)))
   MARK(f(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b)))
   MARK(f(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b)))
   MARK(f(f(f(f(c, y0, y1), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, a), y3, b)))
   MARK(f(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(b, y0, f(b, y1, y2)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, y2)), y3, b)))
   MARK(f(f(f(b, y0, f(y1, y2, b)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, b)), y3, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b)))
   MARK(f(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, c)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, c)), y3, b)))
   MARK(f(f(f(b, y0, f(c, y1, c)), y2, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, c)), y2, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b)))
   MARK(f(f(f(b, y0, f(c, y1, y2)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, y2)), y3, b)))
   MARK(f(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b)))
S tuples:
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
   MARK(f(f(y0, y1, a), z1, a)) -> c7(MARK(f(y0, y1, a)))
   MARK(f(f(b, y0, y1), z1, a)) -> c7(MARK(f(b, y0, y1)))
   MARK(f(f(y0, y1, b), z1, a)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, a)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, a)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, a)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, a)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, a)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, a)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(b, y0, y1))) -> c8(MARK(f(b, y0, y1)))
   MARK(f(b, z0, f(y0, y1, b))) -> c8(MARK(f(y0, y1, b)))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, y4)))) -> c8(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, f(y4, y5, y6))))) -> c8(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, c)))) -> c8(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, a)))) -> c8(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, b)))) -> c8(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(b, z0, f(y0, y1, f(f(y2, y3, y4), y5, y6)))) -> c8(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(b, z0, f(y0, y1, f(c, y2, y3)))) -> c8(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(a, y2, y3)))) -> c8(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(b, y2, y3)))) -> c8(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, f(y4, y5, y6)))) -> c8(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(b, z0, f(c, y0, f(y1, y2, y3)))) -> c8(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(a, y0, f(y1, y2, y3)))) -> c8(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, c))) -> c8(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(b, z0, f(y0, y1, c))) -> c8(MARK(f(y0, y1, c)))
   MARK(f(b, z0, f(c, y0, c))) -> c8(MARK(f(c, y0, c)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, y6))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, y3))) -> c8(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, a), y2, y3))) -> c8(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, y3))) -> c8(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, y6))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, y3))) -> c8(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(a, y0, y1), y2, y3))) -> c8(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, y3))) -> c8(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, a))) -> c8(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, b))) -> c8(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, y4))) -> c8(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(b, z0, f(c, y0, y1))) -> c8(MARK(f(c, y0, y1)))
   MARK(f(b, z0, f(b, y0, f(y1, y2, y3)))) -> c8(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, a), y2, a))) -> c8(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, a))) -> c8(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, a))) -> c8(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, c)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, a)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, b)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a))) -> c8(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(c, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(a, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(b, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(c, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(a, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, c), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, a))) -> c8(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(b, z0, f(f(c, y0, c), y1, a))) -> c8(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(b, z0, f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a))) -> c8(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(y0, y1, c), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, a), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, b), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a))) -> c8(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(c, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(a, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(b, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, a), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, b), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, a))) -> c8(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(b, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(y0, y1, b), z1, b)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, b)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, b)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, b)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, b)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, a), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(f(f(b, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(f(f(y0, y1, b), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(f(f(y0, y1, c), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(f(f(c, y0, c), y1, a), z1, b)) -> c7(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(f(f(c, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(b, y0, f(b, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, y2))))
   MARK(f(f(b, y0, f(y1, y2, b)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, b))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, y5)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7))))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, c)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, a)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, b)))))
   MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7)))))
   MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(c, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(a, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(b, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7)))))
   MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(a, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, c))))
   MARK(f(f(b, y0, f(y1, y2, c)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, c))))
   MARK(f(f(b, y0, f(c, y1, c)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, c))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, y4))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, a))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, b))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, y5))))
   MARK(f(f(b, y0, f(c, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, y2))))
   MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, a))))
   MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, c), y2, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, c)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, c)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, c)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, c)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, a), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(f(f(b, y0, y1), y2, a), z1, c)) -> c7(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(f(f(y0, y1, b), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(f(f(y0, y1, c), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(f(f(c, y0, c), y1, a), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(f(f(c, y0, y1), y2, a), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(b, y0, f(b, y1, y2)), z1, c)) -> c7(MARK(f(b, y0, f(b, y1, y2))))
   MARK(f(f(b, y0, f(y1, y2, b)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, b))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, y5)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7))))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, c)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, a)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, b)))))
   MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7)))))
   MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(c, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(a, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(b, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7)))))
   MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(a, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, c))))
   MARK(f(f(b, y0, f(y1, y2, c)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, c))))
   MARK(f(f(b, y0, f(c, y1, c)), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, c))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, y4))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(a, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, a))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, b))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, y5))))
   MARK(f(f(b, y0, f(c, y1, y2)), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, y2))))
   MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(b, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, a))))
   MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, c), y2, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(f(y0, y1, b), y2, b), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, b)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, b)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, b)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, b)))
   MARK(f(f(f(y0, y1, c), y2, b), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, b)))
   MARK(f(f(f(c, y0, c), y1, b), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, b)))
   MARK(f(f(f(c, y0, y1), y2, b), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, b)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, a), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, a), y3, b)))
   MARK(f(f(f(f(b, y0, y1), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, a), y3, b)))
   MARK(f(f(f(f(y0, y1, b), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, a), y3, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b)))
   MARK(f(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b)))
   MARK(f(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, c), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, a), y3, b)))
   MARK(f(f(f(f(c, y0, c), y1, a), y2, b), z1, c)) -> c7(MARK(f(f(f(c, y0, c), y1, a), y2, b)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b)))
   MARK(f(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b)))
   MARK(f(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b)))
   MARK(f(f(f(f(c, y0, y1), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, a), y3, b)))
   MARK(f(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(b, y0, f(b, y1, y2)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, y2)), y3, b)))
   MARK(f(f(f(b, y0, f(y1, y2, b)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, b)), y3, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b)))
   MARK(f(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, c)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, c)), y3, b)))
   MARK(f(f(f(b, y0, f(c, y1, c)), y2, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, c)), y2, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b)))
   MARK(f(f(f(b, y0, f(c, y1, y2)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, y2)), y3, b)))
   MARK(f(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b)))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   MARK_1, A__F_3

Compound Symbols:   c7_2, c7_1, c8_2, c8_1, c1_1, c2_1


----------------------------------------

(143) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace MARK(f(x0, x1, c)) -> c7(MARK(x0)) by 
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, c)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, c)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, c)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, c)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, a), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(f(f(b, y0, y1), y2, a), z1, c)) -> c7(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(f(f(y0, y1, b), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(f(f(y0, y1, c), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(f(f(c, y0, c), y1, a), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(f(f(c, y0, y1), y2, a), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(b, y0, f(b, y1, y2)), z1, c)) -> c7(MARK(f(b, y0, f(b, y1, y2))))
   MARK(f(f(b, y0, f(y1, y2, b)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, b))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, y5)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7))))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, c)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, a)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, b)))))
   MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7)))))
   MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(c, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(a, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(b, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7)))))
   MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(a, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, c))))
   MARK(f(f(b, y0, f(y1, y2, c)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, c))))
   MARK(f(f(b, y0, f(c, y1, c)), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, c))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, y4))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(a, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, a))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, b))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, y5))))
   MARK(f(f(b, y0, f(c, y1, y2)), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, y2))))
   MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(b, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, a))))
   MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, c), y2, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(f(y0, y1, b), y2, b), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, b)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, b)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, b)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, b)))
   MARK(f(f(f(y0, y1, c), y2, b), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, b)))
   MARK(f(f(f(c, y0, c), y1, b), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, b)))
   MARK(f(f(f(c, y0, y1), y2, b), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, b)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, a), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, a), y3, b)))
   MARK(f(f(f(f(b, y0, y1), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, a), y3, b)))
   MARK(f(f(f(f(y0, y1, b), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, a), y3, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b)))
   MARK(f(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b)))
   MARK(f(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, c), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, a), y3, b)))
   MARK(f(f(f(f(c, y0, c), y1, a), y2, b), z1, c)) -> c7(MARK(f(f(f(c, y0, c), y1, a), y2, b)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b)))
   MARK(f(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b)))
   MARK(f(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b)))
   MARK(f(f(f(f(c, y0, y1), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, a), y3, b)))
   MARK(f(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(b, y0, f(b, y1, y2)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, y2)), y3, b)))
   MARK(f(f(f(b, y0, f(y1, y2, b)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, b)), y3, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b)))
   MARK(f(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, c)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, c)), y3, b)))
   MARK(f(f(f(b, y0, f(c, y1, c)), y2, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, c)), y2, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b)))
   MARK(f(f(f(b, y0, f(c, y1, y2)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, y2)), y3, b)))
   MARK(f(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, c)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, c)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, c)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, c)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, c)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, c)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, c), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, c)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, c), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, c)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, c)))
   MARK(f(f(f(y0, y1, c), y2, c), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, c)))
   MARK(f(f(f(c, y0, c), y1, c), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, c)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, c)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, c)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, c)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, c), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, c)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, c), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, c)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, c), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, c)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, c)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, c)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, c)))
   MARK(f(f(f(c, y0, y1), y2, c), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, c)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, c)))
   MARK(f(f(f(f(y0, y1, a), y2, a), y3, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, a), y3, c)))
   MARK(f(f(f(f(b, y0, y1), y2, a), y3, c), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, a), y3, c)))
   MARK(f(f(f(f(y0, y1, b), y2, a), y3, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, a), y3, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, c)))
   MARK(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, c)))
   MARK(f(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, c)))
   MARK(f(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, c)))
   MARK(f(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, c)))
   MARK(f(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, c)))
   MARK(f(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, c)))
   MARK(f(f(f(f(y0, y1, c), y2, a), y3, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, a), y3, c)))
   MARK(f(f(f(f(c, y0, c), y1, a), y2, c), z1, c)) -> c7(MARK(f(f(f(c, y0, c), y1, a), y2, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, c)))
   MARK(f(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, c)))
   MARK(f(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, c)))
   MARK(f(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, c)))
   MARK(f(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, c)))
   MARK(f(f(f(f(c, y0, y1), y2, a), y3, c), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, a), y3, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, c)))
   MARK(f(f(f(b, y0, f(b, y1, y2)), y3, c), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, y2)), y3, c)))
   MARK(f(f(f(b, y0, f(y1, y2, b)), y3, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, b)), y3, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, c)))
   MARK(f(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, c)))
   MARK(f(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, c)))
   MARK(f(f(f(b, y0, f(y1, y2, c)), y3, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, c)), y3, c)))
   MARK(f(f(f(b, y0, f(c, y1, c)), y2, c), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, c)), y2, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, c)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, c)))
   MARK(f(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, c)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, c)))
   MARK(f(f(f(b, y0, f(c, y1, y2)), y3, c), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, y2)), y3, c)))
   MARK(f(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, c)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, c)))
   MARK(f(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, c)))
   MARK(f(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, c)))
   MARK(f(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, c)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, c)))
   MARK(f(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, c)))
   MARK(f(f(f(f(y0, y1, b), y2, b), y3, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, b), y3, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b), y8, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, c)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, b), y5, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, a)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, b), y5, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, b)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, b), y5, c)))
   MARK(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b), y8, c)))
   MARK(f(f(f(f(y0, y1, f(c, y2, y3)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, b), y5, c)))
   MARK(f(f(f(f(y0, y1, f(a, y2, y3)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, b), y5, c)))
   MARK(f(f(f(f(y0, y1, f(b, y2, y3)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b), y8, c)))
   MARK(f(f(f(f(c, y0, f(y1, y2, y3)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, b), y5, c)))
   MARK(f(f(f(f(a, y0, f(y1, y2, y3)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, c), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, c), y4, b), y5, c)))
   MARK(f(f(f(f(y0, y1, c), y2, b), y3, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, b), y3, c)))
   MARK(f(f(f(f(c, y0, c), y1, b), y2, c), z1, c)) -> c7(MARK(f(f(f(c, y0, c), y1, b), y2, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b), y8, c)))
   MARK(f(f(f(f(f(y0, y1, c), y2, y3), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, c), y2, y3), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, a), y2, y3), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, a), y2, y3), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, b), y2, y3), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, b), y2, y3), y4, b), y5, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b), y8, c)))
   MARK(f(f(f(f(f(c, y0, y1), y2, y3), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(c, y0, y1), y2, y3), y4, b), y5, c)))
   MARK(f(f(f(f(f(a, y0, y1), y2, y3), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(a, y0, y1), y2, y3), y4, b), y5, c)))
   MARK(f(f(f(f(f(b, y0, y1), y2, y3), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(b, y0, y1), y2, y3), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, a), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, a), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, b), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, b), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, b), y6, c)))
   MARK(f(f(f(f(c, y0, y1), y2, b), y3, c), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, b), y3, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, y3)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, a), y2, a), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, a), y2, a), y3, b), y4, c)))
   MARK(f(f(f(f(f(b, y0, y1), y2, a), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(f(b, y0, y1), y2, a), y3, b), y4, c)))
   MARK(f(f(f(f(f(y0, y1, b), y2, a), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, b), y2, a), y3, b), y4, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b), y7, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b), y9, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b), y9, c)))
   MARK(f(f(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b), y9, c)))
   MARK(f(f(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(y0, y1, c), y2, a), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, c), y2, a), y3, b), y4, c)))
   MARK(f(f(f(f(f(c, y0, c), y1, a), y2, b), y3, c), z1, c)) -> c7(MARK(f(f(f(f(c, y0, c), y1, a), y2, b), y3, c)))
   MARK(f(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b), y9, c)))
   MARK(f(f(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b), y9, c)))
   MARK(f(f(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b), y7, c)))
   MARK(f(f(f(f(f(c, y0, y1), y2, a), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(f(c, y0, y1), y2, a), y3, b), y4, c)))
   MARK(f(f(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(b, y1, y2)), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(b, y1, y2)), y3, b), y4, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, b)), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, b)), y3, b), y4, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b), y9, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b), y9, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b), y9, c)))
   MARK(f(f(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, c)), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, c)), y3, b), y4, c)))
   MARK(f(f(f(f(b, y0, f(c, y1, c)), y2, b), y3, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(c, y1, c)), y2, b), y3, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b), y9, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b), y9, c)))
   MARK(f(f(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(c, y1, y2)), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(c, y1, y2)), y3, b), y4, c)))
   MARK(f(f(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b), y5, c)))
   MARK(f(f(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b), y5, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b), y5, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b), y8, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b), y10, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b), y10, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b), y10, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b), y10, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b), y10, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b), y10, c)))
   MARK(f(f(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b), y5, c)))
   MARK(f(f(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b), y4, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b), y10, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b), y10, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b), y10, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b), y10, c)))
   MARK(f(f(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b), y8, c)))
   MARK(f(f(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b), y5, c)))
   MARK(f(f(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b), y7, c)))

----------------------------------------

(144)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   a__f(a, b, z0) -> a__f(mark(z0), z0, mark(z0))
   a__f(z0, z1, z2) -> f(z0, z1, z2)
   a__c -> a
   a__c -> b
   a__c -> c
   mark(f(z0, z1, z2)) -> a__f(mark(z0), z1, mark(z2))
   mark(c) -> a__c
   mark(a) -> a
   mark(b) -> b
Tuples:
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(x0, x1, c)) -> c7(MARK(x0))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
   MARK(f(f(y0, y1, a), z1, a)) -> c7(MARK(f(y0, y1, a)))
   MARK(f(f(b, y0, y1), z1, a)) -> c7(MARK(f(b, y0, y1)))
   MARK(f(f(y0, y1, b), z1, a)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, a)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, a)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, a)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, a)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, a)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, a)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(b, y0, y1))) -> c8(MARK(f(b, y0, y1)))
   MARK(f(b, z0, f(y0, y1, b))) -> c8(MARK(f(y0, y1, b)))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, y4)))) -> c8(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, f(y4, y5, y6))))) -> c8(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, c)))) -> c8(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, a)))) -> c8(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, b)))) -> c8(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(b, z0, f(y0, y1, f(f(y2, y3, y4), y5, y6)))) -> c8(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(b, z0, f(y0, y1, f(c, y2, y3)))) -> c8(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(a, y2, y3)))) -> c8(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(b, y2, y3)))) -> c8(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, f(y4, y5, y6)))) -> c8(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(b, z0, f(c, y0, f(y1, y2, y3)))) -> c8(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(a, y0, f(y1, y2, y3)))) -> c8(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, c))) -> c8(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(b, z0, f(y0, y1, c))) -> c8(MARK(f(y0, y1, c)))
   MARK(f(b, z0, f(c, y0, c))) -> c8(MARK(f(c, y0, c)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, y6))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, y3))) -> c8(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, a), y2, y3))) -> c8(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, y3))) -> c8(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, y6))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, y3))) -> c8(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(a, y0, y1), y2, y3))) -> c8(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, y3))) -> c8(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, a))) -> c8(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, b))) -> c8(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, y4))) -> c8(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(b, z0, f(c, y0, y1))) -> c8(MARK(f(c, y0, y1)))
   MARK(f(b, z0, f(b, y0, f(y1, y2, y3)))) -> c8(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, a), y2, a))) -> c8(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, a))) -> c8(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, a))) -> c8(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, c)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, a)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, b)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a))) -> c8(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(c, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(a, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(b, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(c, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(a, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, c), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, a))) -> c8(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(b, z0, f(f(c, y0, c), y1, a))) -> c8(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(b, z0, f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a))) -> c8(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(y0, y1, c), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, a), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, b), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a))) -> c8(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(c, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(a, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(b, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, a), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, b), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, a))) -> c8(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(b, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(y0, y1, b), z1, b)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, b)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, b)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, b)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, b)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, a), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(f(f(b, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(f(f(y0, y1, b), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(f(f(y0, y1, c), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(f(f(c, y0, c), y1, a), z1, b)) -> c7(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(f(f(c, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(b, y0, f(b, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, y2))))
   MARK(f(f(b, y0, f(y1, y2, b)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, b))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, y5)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7))))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, c)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, a)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, b)))))
   MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7)))))
   MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(c, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(a, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(b, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7)))))
   MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(a, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, c))))
   MARK(f(f(b, y0, f(y1, y2, c)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, c))))
   MARK(f(f(b, y0, f(c, y1, c)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, c))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, y4))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, a))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, b))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, y5))))
   MARK(f(f(b, y0, f(c, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, y2))))
   MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, a))))
   MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, c), y2, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, c)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, c)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, c)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, c)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, a), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(f(f(b, y0, y1), y2, a), z1, c)) -> c7(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(f(f(y0, y1, b), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(f(f(y0, y1, c), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(f(f(c, y0, c), y1, a), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(f(f(c, y0, y1), y2, a), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(b, y0, f(b, y1, y2)), z1, c)) -> c7(MARK(f(b, y0, f(b, y1, y2))))
   MARK(f(f(b, y0, f(y1, y2, b)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, b))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, y5)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7))))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, c)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, a)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, b)))))
   MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7)))))
   MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(c, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(a, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(b, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7)))))
   MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(a, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, c))))
   MARK(f(f(b, y0, f(y1, y2, c)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, c))))
   MARK(f(f(b, y0, f(c, y1, c)), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, c))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, y4))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(a, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, a))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, b))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, y5))))
   MARK(f(f(b, y0, f(c, y1, y2)), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, y2))))
   MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(b, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, a))))
   MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, c), y2, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(f(y0, y1, b), y2, b), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, b)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, b)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, b)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, b)))
   MARK(f(f(f(y0, y1, c), y2, b), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, b)))
   MARK(f(f(f(c, y0, c), y1, b), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, b)))
   MARK(f(f(f(c, y0, y1), y2, b), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, b)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, a), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, a), y3, b)))
   MARK(f(f(f(f(b, y0, y1), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, a), y3, b)))
   MARK(f(f(f(f(y0, y1, b), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, a), y3, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b)))
   MARK(f(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b)))
   MARK(f(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, c), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, a), y3, b)))
   MARK(f(f(f(f(c, y0, c), y1, a), y2, b), z1, c)) -> c7(MARK(f(f(f(c, y0, c), y1, a), y2, b)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b)))
   MARK(f(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b)))
   MARK(f(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b)))
   MARK(f(f(f(f(c, y0, y1), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, a), y3, b)))
   MARK(f(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(b, y0, f(b, y1, y2)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, y2)), y3, b)))
   MARK(f(f(f(b, y0, f(y1, y2, b)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, b)), y3, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b)))
   MARK(f(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, c)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, c)), y3, b)))
   MARK(f(f(f(b, y0, f(c, y1, c)), y2, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, c)), y2, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b)))
   MARK(f(f(f(b, y0, f(c, y1, y2)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, y2)), y3, b)))
   MARK(f(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, c)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, c)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, c)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, c)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, c), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, c)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, c)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, c), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, c)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, c), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, c)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, c)))
   MARK(f(f(f(y0, y1, c), y2, c), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, c)))
   MARK(f(f(f(c, y0, c), y1, c), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, c)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, c)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, c)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, c)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, c), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, c)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, c), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, c)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, c), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, c)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, c)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, c)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, c)))
   MARK(f(f(f(c, y0, y1), y2, c), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, c)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, c)))
   MARK(f(f(f(f(y0, y1, a), y2, a), y3, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, a), y3, c)))
   MARK(f(f(f(f(b, y0, y1), y2, a), y3, c), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, a), y3, c)))
   MARK(f(f(f(f(y0, y1, b), y2, a), y3, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, a), y3, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, c)))
   MARK(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, c)))
   MARK(f(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, c)))
   MARK(f(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, c)))
   MARK(f(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, c)))
   MARK(f(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, c)))
   MARK(f(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, c)))
   MARK(f(f(f(f(y0, y1, c), y2, a), y3, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, a), y3, c)))
   MARK(f(f(f(f(c, y0, c), y1, a), y2, c), z1, c)) -> c7(MARK(f(f(f(c, y0, c), y1, a), y2, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, c)))
   MARK(f(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, c)))
   MARK(f(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, c)))
   MARK(f(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, c)))
   MARK(f(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, c)))
   MARK(f(f(f(f(c, y0, y1), y2, a), y3, c), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, a), y3, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, c)))
   MARK(f(f(f(b, y0, f(b, y1, y2)), y3, c), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, y2)), y3, c)))
   MARK(f(f(f(b, y0, f(y1, y2, b)), y3, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, b)), y3, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, c)))
   MARK(f(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, c)))
   MARK(f(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, c)))
   MARK(f(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, c)))
   MARK(f(f(f(b, y0, f(y1, y2, c)), y3, c), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, c)), y3, c)))
   MARK(f(f(f(b, y0, f(c, y1, c)), y2, c), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, c)), y2, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, c)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, c)))
   MARK(f(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, c)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, c)))
   MARK(f(f(f(b, y0, f(c, y1, y2)), y3, c), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, y2)), y3, c)))
   MARK(f(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, c), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, c)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, c)))
   MARK(f(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, c)))
   MARK(f(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, c)))
   MARK(f(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, c)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, c)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, c)))
   MARK(f(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, c), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, c)))
   MARK(f(f(f(f(y0, y1, b), y2, b), y3, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, b), y3, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b), y8, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, c)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, b), y5, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, a)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, b), y5, c)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, b)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, b), y5, c)))
   MARK(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b), y8, c)))
   MARK(f(f(f(f(y0, y1, f(c, y2, y3)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, b), y5, c)))
   MARK(f(f(f(f(y0, y1, f(a, y2, y3)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, b), y5, c)))
   MARK(f(f(f(f(y0, y1, f(b, y2, y3)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b), y8, c)))
   MARK(f(f(f(f(c, y0, f(y1, y2, y3)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, b), y5, c)))
   MARK(f(f(f(f(a, y0, f(y1, y2, y3)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, c), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, c), y4, b), y5, c)))
   MARK(f(f(f(f(y0, y1, c), y2, b), y3, c), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, b), y3, c)))
   MARK(f(f(f(f(c, y0, c), y1, b), y2, c), z1, c)) -> c7(MARK(f(f(f(c, y0, c), y1, b), y2, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b), y8, c)))
   MARK(f(f(f(f(f(y0, y1, c), y2, y3), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, c), y2, y3), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, a), y2, y3), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, a), y2, y3), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, b), y2, y3), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, b), y2, y3), y4, b), y5, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b), y8, c)))
   MARK(f(f(f(f(f(c, y0, y1), y2, y3), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(c, y0, y1), y2, y3), y4, b), y5, c)))
   MARK(f(f(f(f(f(a, y0, y1), y2, y3), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(a, y0, y1), y2, y3), y4, b), y5, c)))
   MARK(f(f(f(f(f(b, y0, y1), y2, y3), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(b, y0, y1), y2, y3), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, a), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, a), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, b), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, b), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, b), y6, c)))
   MARK(f(f(f(f(c, y0, y1), y2, b), y3, c), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, b), y3, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, y3)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, b), y5, c)))
   MARK(f(f(f(f(f(y0, y1, a), y2, a), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, a), y2, a), y3, b), y4, c)))
   MARK(f(f(f(f(f(b, y0, y1), y2, a), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(f(b, y0, y1), y2, a), y3, b), y4, c)))
   MARK(f(f(f(f(f(y0, y1, b), y2, a), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, b), y2, a), y3, b), y4, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b), y7, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b), y9, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b), y9, c)))
   MARK(f(f(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b), y9, c)))
   MARK(f(f(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(y0, y1, c), y2, a), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, c), y2, a), y3, b), y4, c)))
   MARK(f(f(f(f(f(c, y0, c), y1, a), y2, b), y3, c), z1, c)) -> c7(MARK(f(f(f(f(c, y0, c), y1, a), y2, b), y3, c)))
   MARK(f(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b), y9, c)))
   MARK(f(f(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b), y9, c)))
   MARK(f(f(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b), y7, c)))
   MARK(f(f(f(f(f(c, y0, y1), y2, a), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(f(c, y0, y1), y2, a), y3, b), y4, c)))
   MARK(f(f(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(b, y1, y2)), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(b, y1, y2)), y3, b), y4, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, b)), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, b)), y3, b), y4, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b), y9, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b), y9, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b), y9, c)))
   MARK(f(f(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(y1, y2, c)), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, c)), y3, b), y4, c)))
   MARK(f(f(f(f(b, y0, f(c, y1, c)), y2, b), y3, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(c, y1, c)), y2, b), y3, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b), y9, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b), y9, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b), y9, c)))
   MARK(f(f(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(c, y1, y2)), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(c, y1, y2)), y3, b), y4, c)))
   MARK(f(f(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b), y6, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b), y6, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b), y5, c)))
   MARK(f(f(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b), y5, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b), y5, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b), y8, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b), y10, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b), y10, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b), y10, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b), y10, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b), y10, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b), y10, c)))
   MARK(f(f(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b), y5, c)))
   MARK(f(f(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b), y4, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b), y4, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b), y10, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b), y10, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b), y10, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b), y10, c)))
   MARK(f(f(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b), y7, c)))
   MARK(f(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b), y8, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b), y8, c)))
   MARK(f(f(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b), y5, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b), y5, c)))
   MARK(f(f(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b), y7, c), z1, c)) -> c7(MARK(f(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b), y7, c)))
S tuples:
   MARK(f(x0, x1, f(x2, z1, x4))) -> c7(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, c))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, a))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(x0))
   MARK(f(x0, x1, f(x2, x3, b))) -> c7(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(x0))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(c, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(a, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(x0))
   MARK(f(x0, x1, f(b, x3, x4))) -> c7(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(x0))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c7(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(a, x1, f(x2, x3, x4))) -> c7(A__F(a, x1, a__f(mark(x2), x3, mark(x4))))
   MARK(f(f(z0, z1, z2), x1, c)) -> c7(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__c), MARK(f(z0, z1, z2)))
   MARK(f(c, x1, c)) -> c7(A__F(a__c, x1, a__c))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(f(x0, x1, f(z0, z1, z2))))
   MARK(f(f(x0, x1, c), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(f(x0, x1, c)))
   MARK(f(f(x0, x1, a), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(f(x0, x1, a)))
   MARK(f(f(x0, x1, b), x3, x4)) -> c7(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(f(x0, x1, b)))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c7(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(f(f(z0, z1, z2), x1, x2)))
   MARK(f(f(c, x1, x2), x3, x4)) -> c7(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(f(c, x1, x2)))
   MARK(f(f(a, x1, x2), x3, x4)) -> c7(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(f(a, x1, x2)))
   MARK(f(f(b, x1, x2), x3, x4)) -> c7(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(f(b, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, a)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, x1, x2), x3, b)) -> c7(MARK(f(x0, x1, x2)))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c7(MARK(f(x0, z1, x2)))
   MARK(f(c, x0, x1)) -> c7(A__F(a, x0, mark(x1)))
   MARK(f(x0, x1, f(x2, z1, x4))) -> c8(A__F(mark(x0), x1, f(mark(x2), z1, mark(x4))), MARK(f(x2, z1, x4)))
   MARK(f(x0, x1, f(x2, x3, f(z0, z1, z2)))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__f(mark(z0), z1, mark(z2)))), MARK(f(x2, x3, f(z0, z1, z2))))
   MARK(f(x0, x1, f(x2, x3, c))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a__c)), MARK(f(x2, x3, c)))
   MARK(f(x0, x1, f(x2, x3, a))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, a)), MARK(f(x2, x3, a)))
   MARK(f(x0, x1, f(x2, x3, b))) -> c8(A__F(mark(x0), x1, a__f(mark(x2), x3, b)), MARK(f(x2, x3, b)))
   MARK(f(x0, x1, f(f(z0, z1, z2), x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__f(mark(z0), z1, mark(z2)), x3, mark(x4))), MARK(f(f(z0, z1, z2), x3, x4)))
   MARK(f(x0, x1, f(c, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a__c, x3, mark(x4))), MARK(f(c, x3, x4)))
   MARK(f(x0, x1, f(a, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(a, x3, mark(x4))), MARK(f(a, x3, x4)))
   MARK(f(x0, x1, f(b, x3, x4))) -> c8(A__F(mark(x0), x1, a__f(b, x3, mark(x4))), MARK(f(b, x3, x4)))
   MARK(f(f(z0, z1, z2), x1, f(x2, x3, x4))) -> c8(A__F(a__f(mark(z0), z1, mark(z2)), x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(c, x1, f(x2, x3, x4))) -> c8(A__F(a__c, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(a, x1, f(x2, x3, x4))) -> c8(A__F(a, x1, a__f(mark(x2), x3, mark(x4))), MARK(f(x2, x3, x4)))
   MARK(f(b, x1, f(x2, x3, x4))) -> c8(MARK(f(x2, x3, x4)))
   MARK(f(f(x0, x1, f(z0, z1, z2)), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__f(mark(z0), z1, mark(z2))), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, c), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a__c), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, a), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, a), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, b), x3, x4)) -> c8(A__F(a__f(mark(x0), x1, b), x3, mark(x4)), MARK(x4))
   MARK(f(f(f(z0, z1, z2), x1, x2), x3, x4)) -> c8(A__F(a__f(a__f(mark(z0), z1, mark(z2)), x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(c, x1, x2), x3, x4)) -> c8(A__F(a__f(a__c, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(a, x1, x2), x3, x4)) -> c8(A__F(a__f(a, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(b, x1, x2), x3, x4)) -> c8(A__F(a__f(b, x1, mark(x2)), x3, mark(x4)), MARK(x4))
   MARK(f(f(x0, x1, x2), x3, c)) -> c8(A__F(a__f(mark(x0), x1, mark(x2)), x3, a__c))
   MARK(f(f(x0, z1, x2), x3, x4)) -> c8(MARK(x4))
   MARK(f(c, x0, x1)) -> c8(A__F(a, x0, mark(x1)), MARK(x1))
   MARK(f(c, x0, c)) -> c8(A__F(a__c, x0, a__c))
   MARK(f(c, x0, x1)) -> c8(MARK(x1))
   A__F(a, b, f(z0, z1, a)) -> c1(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c1(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c1(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c1(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c1(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c1(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c1(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c1(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c1(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c1(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c1(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c1(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c1(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c1(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c1(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c1(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c1(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c1(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c1(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c1(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c1(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c1(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c1(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c1(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c1(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c1(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c1(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c1(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c1(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c1(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c1(MARK(f(b, z1, f(y1, y2, y3))))
   A__F(a, b, f(z0, z1, a)) -> c2(MARK(f(z0, z1, a)))
   A__F(a, b, f(b, z1, z2)) -> c2(MARK(f(b, z1, z2)))
   A__F(a, b, f(z0, z1, b)) -> c2(MARK(f(z0, z1, b)))
   A__F(a, b, f(z0, z1, f(y2, y3, y4))) -> c2(MARK(f(z0, z1, f(y2, y3, y4))))
   A__F(a, b, f(z0, z1, f(y2, y3, f(y4, y5, y6)))) -> c2(MARK(f(z0, z1, f(y2, y3, f(y4, y5, y6)))))
   A__F(a, b, f(z0, z1, f(y2, y3, c))) -> c2(MARK(f(z0, z1, f(y2, y3, c))))
   A__F(a, b, f(z0, z1, f(y2, y3, a))) -> c2(MARK(f(z0, z1, f(y2, y3, a))))
   A__F(a, b, f(z0, z1, f(y2, y3, b))) -> c2(MARK(f(z0, z1, f(y2, y3, b))))
   A__F(a, b, f(z0, z1, f(f(y2, y3, y4), y5, y6))) -> c2(MARK(f(z0, z1, f(f(y2, y3, y4), y5, y6))))
   A__F(a, b, f(z0, z1, f(c, y2, y3))) -> c2(MARK(f(z0, z1, f(c, y2, y3))))
   A__F(a, b, f(z0, z1, f(a, y2, y3))) -> c2(MARK(f(z0, z1, f(a, y2, y3))))
   A__F(a, b, f(z0, z1, f(b, y2, y3))) -> c2(MARK(f(z0, z1, f(b, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, f(y4, y5, y6))) -> c2(MARK(f(f(y0, y1, y2), z1, f(y4, y5, y6))))
   A__F(a, b, f(c, z1, f(y1, y2, y3))) -> c2(MARK(f(c, z1, f(y1, y2, y3))))
   A__F(a, b, f(a, z1, f(y1, y2, y3))) -> c2(MARK(f(a, z1, f(y1, y2, y3))))
   A__F(a, b, f(f(y0, y1, y2), z1, c)) -> c2(MARK(f(f(y0, y1, y2), z1, c)))
   A__F(a, b, f(z0, z1, c)) -> c2(MARK(f(z0, z1, c)))
   A__F(a, b, f(c, z1, c)) -> c2(MARK(f(c, z1, c)))
   A__F(a, b, f(f(y0, y1, f(y2, y3, y4)), z1, z2)) -> c2(MARK(f(f(y0, y1, f(y2, y3, y4)), z1, z2)))
   A__F(a, b, f(f(y0, y1, c), z1, z2)) -> c2(MARK(f(f(y0, y1, c), z1, z2)))
   A__F(a, b, f(f(y0, y1, a), z1, z2)) -> c2(MARK(f(f(y0, y1, a), z1, z2)))
   A__F(a, b, f(f(y0, y1, b), z1, z2)) -> c2(MARK(f(f(y0, y1, b), z1, z2)))
   A__F(a, b, f(f(f(y0, y1, y2), y3, y4), z1, z2)) -> c2(MARK(f(f(f(y0, y1, y2), y3, y4), z1, z2)))
   A__F(a, b, f(f(c, y0, y1), z1, z2)) -> c2(MARK(f(f(c, y0, y1), z1, z2)))
   A__F(a, b, f(f(a, y0, y1), z1, z2)) -> c2(MARK(f(f(a, y0, y1), z1, z2)))
   A__F(a, b, f(f(b, y0, y1), z1, z2)) -> c2(MARK(f(f(b, y0, y1), z1, z2)))
   A__F(a, b, f(f(y0, y1, y2), z1, a)) -> c2(MARK(f(f(y0, y1, y2), z1, a)))
   A__F(a, b, f(f(y0, y1, y2), z1, b)) -> c2(MARK(f(f(y0, y1, y2), z1, b)))
   A__F(a, b, f(f(y0, y1, y2), z1, z2)) -> c2(MARK(f(f(y0, y1, y2), z1, z2)))
   A__F(a, b, f(c, z1, z2)) -> c2(MARK(f(c, z1, z2)))
   A__F(a, b, f(b, z1, f(y1, y2, y3))) -> c2(MARK(f(b, z1, f(y1, y2, y3))))
   MARK(f(f(y0, y1, a), z1, a)) -> c7(MARK(f(y0, y1, a)))
   MARK(f(f(b, y0, y1), z1, a)) -> c7(MARK(f(b, y0, y1)))
   MARK(f(f(y0, y1, b), z1, a)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, a)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, a)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, a)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, a)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, a)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, a)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, a)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, a)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, a)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, a)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, a)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, a)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(b, y0, y1))) -> c8(MARK(f(b, y0, y1)))
   MARK(f(b, z0, f(y0, y1, b))) -> c8(MARK(f(y0, y1, b)))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, y4)))) -> c8(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, f(y4, y5, y6))))) -> c8(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, c)))) -> c8(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, a)))) -> c8(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(b, z0, f(y0, y1, f(y2, y3, b)))) -> c8(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(b, z0, f(y0, y1, f(f(y2, y3, y4), y5, y6)))) -> c8(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(b, z0, f(y0, y1, f(c, y2, y3)))) -> c8(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(a, y2, y3)))) -> c8(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(b, z0, f(y0, y1, f(b, y2, y3)))) -> c8(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, f(y4, y5, y6)))) -> c8(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(b, z0, f(c, y0, f(y1, y2, y3)))) -> c8(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(a, y0, f(y1, y2, y3)))) -> c8(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, c))) -> c8(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(b, z0, f(y0, y1, c))) -> c8(MARK(f(y0, y1, c)))
   MARK(f(b, z0, f(c, y0, c))) -> c8(MARK(f(c, y0, c)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, y6))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, y3))) -> c8(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, a), y2, y3))) -> c8(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, y3))) -> c8(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, y6))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, y3))) -> c8(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(a, y0, y1), y2, y3))) -> c8(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, y3))) -> c8(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, a))) -> c8(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, b))) -> c8(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(b, z0, f(f(y0, y1, y2), y3, y4))) -> c8(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(b, z0, f(c, y0, y1))) -> c8(MARK(f(c, y0, y1)))
   MARK(f(b, z0, f(b, y0, f(y1, y2, y3)))) -> c8(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(b, z0, f(f(y0, y1, a), y2, a))) -> c8(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(b, z0, f(f(b, y0, y1), y2, a))) -> c8(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, b), y2, a))) -> c8(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, y4)), y5, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, c)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, a)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(y2, y3, b)), y4, a))) -> c8(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a))) -> c8(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(y0, y1, f(c, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(a, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, f(b, y2, y3)), y4, a))) -> c8(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(b, z0, f(f(c, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(a, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, c), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(b, z0, f(f(y0, y1, c), y2, a))) -> c8(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(b, z0, f(f(c, y0, c), y1, a))) -> c8(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(b, z0, f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a))) -> c8(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(y0, y1, c), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, a), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, b), y2, y3), y4, a))) -> c8(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a))) -> c8(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(b, z0, f(f(f(c, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(a, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(b, y0, y1), y2, y3), y4, a))) -> c8(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, a), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, b), y4, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(b, z0, f(f(f(y0, y1, y2), y3, y4), y5, a))) -> c8(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(b, z0, f(f(c, y0, y1), y2, a))) -> c8(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(b, z0, f(f(b, y0, f(y1, y2, y3)), y4, a))) -> c8(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(y0, y1, b), z1, b)) -> c7(MARK(f(y0, y1, b)))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, b)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, b)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, b)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, b)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, b)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, b)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, b)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, a), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(f(f(b, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(f(f(y0, y1, b), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(f(f(y0, y1, c), y2, a), z1, b)) -> c7(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(f(f(c, y0, c), y1, a), z1, b)) -> c7(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), z1, b)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), z1, b)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), z1, b)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(f(f(c, y0, y1), y2, a), z1, b)) -> c7(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), z1, b)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(b, y0, f(b, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, y2))))
   MARK(f(f(b, y0, f(y1, y2, b)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, b))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, y5)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7))))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, c)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, a)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, b)))))
   MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7)))))
   MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(c, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(a, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, f(b, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7)))))
   MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(a, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, c))))
   MARK(f(f(b, y0, f(y1, y2, c)), z1, b)) -> c7(MARK(f(b, y0, f(y1, y2, c))))
   MARK(f(f(b, y0, f(c, y1, c)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, c))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, y4))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, a))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, b))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, y5))))
   MARK(f(f(b, y0, f(c, y1, y2)), z1, b)) -> c7(MARK(f(b, y0, f(c, y1, y2))))
   MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), z1, b)) -> c7(MARK(f(b, y0, f(b, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, a))))
   MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, c), y2, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), z1, b)) -> c7(MARK(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(y0, y1, f(y2, y3, y4)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, y4))))
   MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, f(y4, y5, y6)))))
   MARK(f(f(y0, y1, f(y2, y3, c)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, c))))
   MARK(f(f(y0, y1, f(y2, y3, a)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, a))))
   MARK(f(f(y0, y1, f(y2, y3, b)), z1, c)) -> c7(MARK(f(y0, y1, f(y2, y3, b))))
   MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), z1, c)) -> c7(MARK(f(y0, y1, f(f(y2, y3, y4), y5, y6))))
   MARK(f(f(y0, y1, f(c, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(c, y2, y3))))
   MARK(f(f(y0, y1, f(a, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(a, y2, y3))))
   MARK(f(f(y0, y1, f(b, y2, y3)), z1, c)) -> c7(MARK(f(y0, y1, f(b, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, f(y4, y5, y6))))
   MARK(f(f(c, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(c, y0, f(y1, y2, y3))))
   MARK(f(f(a, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(a, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, y2), y3, c), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, c)))
   MARK(f(f(y0, y1, c), z1, c)) -> c7(MARK(f(y0, y1, c)))
   MARK(f(f(c, y0, c), z1, c)) -> c7(MARK(f(c, y0, c)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, y6)))
   MARK(f(f(f(y0, y1, c), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, y3)))
   MARK(f(f(f(y0, y1, a), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, a), y2, y3)))
   MARK(f(f(f(y0, y1, b), y2, y3), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, y3)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, y6)))
   MARK(f(f(f(c, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, y3)))
   MARK(f(f(f(a, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(a, y0, y1), y2, y3)))
   MARK(f(f(f(b, y0, y1), y2, y3), z1, c)) -> c7(MARK(f(f(b, y0, y1), y2, y3)))
   MARK(f(f(f(y0, y1, y2), y3, a), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, a)))
   MARK(f(f(f(y0, y1, y2), y3, b), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, b)))
   MARK(f(f(f(y0, y1, y2), y3, y4), z1, c)) -> c7(MARK(f(f(y0, y1, y2), y3, y4)))
   MARK(f(f(c, y0, y1), z1, c)) -> c7(MARK(f(c, y0, y1)))
   MARK(f(f(b, y0, f(y1, y2, y3)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, y3))))
   MARK(f(f(f(y0, y1, a), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, a), y2, a)))
   MARK(f(f(f(b, y0, y1), y2, a), z1, c)) -> c7(MARK(f(f(b, y0, y1), y2, a)))
   MARK(f(f(f(y0, y1, b), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, a)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, a)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, a)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, a)))
   MARK(f(f(f(y0, y1, c), y2, a), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, a)))
   MARK(f(f(f(c, y0, c), y1, a), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, a)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, a)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, a)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, a)))
   MARK(f(f(f(c, y0, y1), y2, a), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, a)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, a)))
   MARK(f(f(b, y0, f(b, y1, y2)), z1, c)) -> c7(MARK(f(b, y0, f(b, y1, y2))))
   MARK(f(f(b, y0, f(y1, y2, b)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, b))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, y5)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7))))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, c)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, a)))))
   MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(y3, y4, b)))))
   MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7)))))
   MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(c, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(a, y3, y4)))))
   MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, f(b, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7)))))
   MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(a, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, c))))
   MARK(f(f(b, y0, f(y1, y2, c)), z1, c)) -> c7(MARK(f(b, y0, f(y1, y2, c))))
   MARK(f(f(b, y0, f(c, y1, c)), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, c))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, y4))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(a, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, y4))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, a))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, b))))
   MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, y3), y4, y5))))
   MARK(f(f(b, y0, f(c, y1, y2)), z1, c)) -> c7(MARK(f(b, y0, f(c, y1, y2))))
   MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), z1, c)) -> c7(MARK(f(b, y0, f(b, y1, f(y2, y3, y4)))))
   MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, a), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, b), y3, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a))))
   MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a))))
   MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(y1, y2, c), y3, a))))
   MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, c), y2, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a))))
   MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a))))
   MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a))))
   MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(c, y1, y2), y3, a))))
   MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), z1, c)) -> c7(MARK(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a))))
   MARK(f(f(f(y0, y1, b), y2, b), z1, c)) -> c7(MARK(f(f(y0, y1, b), y2, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, y4)), y5, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, c)), y4, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, a)), y4, b)))
   MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(y2, y3, b)), y4, b)))
   MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, b)))
   MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(c, y2, y3)), y4, b)))
   MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(a, y2, y3)), y4, b)))
   MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(y0, y1, f(b, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, b)))
   MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(c, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(a, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, c), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, c), y4, b)))
   MARK(f(f(f(y0, y1, c), y2, b), z1, c)) -> c7(MARK(f(f(y0, y1, c), y2, b)))
   MARK(f(f(f(c, y0, c), y1, b), z1, c)) -> c7(MARK(f(f(c, y0, c), y1, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, b)))
   MARK(f(f(f(f(y0, y1, c), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, a), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, b), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, y3), y4, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, b)))
   MARK(f(f(f(f(c, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(a, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(a, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(b, y0, y1), y2, y3), y4, b), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, y3), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, a), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, a), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, b), y4, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, b), y4, b)))
   MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, y2), y3, y4), y5, b)))
   MARK(f(f(f(c, y0, y1), y2, b), z1, c)) -> c7(MARK(f(f(c, y0, y1), y2, b)))
   MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, y3)), y4, b)))
   MARK(f(f(f(f(y0, y1, a), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, a), y2, a), y3, b)))
   MARK(f(f(f(f(b, y0, y1), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(b, y0, y1), y2, a), y3, b)))
   MARK(f(f(f(f(y0, y1, b), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, b), y2, a), y3, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, y4)), y5, a), y6, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, f(y4, y5, y6))), y7, a), y8, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, c)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, a)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(y2, y3, b)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(f(y2, y3, y4), y5, y6)), y7, a), y8, b)))
   MARK(f(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(c, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(a, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, f(b, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, f(y4, y5, y6)), y7, a), y8, b)))
   MARK(f(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(c, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(a, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, c), y4, a), y5, b)))
   MARK(f(f(f(f(y0, y1, c), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(y0, y1, c), y2, a), y3, b)))
   MARK(f(f(f(f(c, y0, c), y1, a), y2, b), z1, c)) -> c7(MARK(f(f(f(c, y0, c), y1, a), y2, b)))
   MARK(f(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, f(y2, y3, y4)), y5, y6), y7, a), y8, b)))
   MARK(f(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, c), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, a), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, b), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b), z1, c)) -> c7(MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, y6), y7, a), y8, b)))
   MARK(f(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(c, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(a, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(b, y0, y1), y2, y3), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, a), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, b), y4, a), y5, b)))
   MARK(f(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b), z1, c)) -> c7(MARK(f(f(f(f(y0, y1, y2), y3, y4), y5, a), y6, b)))
   MARK(f(f(f(f(c, y0, y1), y2, a), y3, b), z1, c)) -> c7(MARK(f(f(f(c, y0, y1), y2, a), y3, b)))
   MARK(f(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b), z1, c)) -> c7(MARK(f(f(f(b, y0, f(y1, y2, y3)), y4, a), y5, b)))
   MARK(f(f(f(b, y0, f(b, y1, y2)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, y2)), y3, b)))
   MARK(f(f(f(b, y0, f(y1, y2, b)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, b)), y3, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, y5))), y6, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, f(y5, y6, y7)))), y8, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, c))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, a))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(y3, y4, b))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(f(y3, y4, y5), y6, y7))), y8, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(c, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(a, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, f(b, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, f(y5, y6, y7))), y8, b)))
   MARK(f(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(a, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, c)), y5, b)))
   MARK(f(f(f(b, y0, f(y1, y2, c)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(y1, y2, c)), y3, b)))
   MARK(f(f(f(b, y0, f(c, y1, c)), y2, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, c)), y2, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, y7)), y8, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, y7)), y8, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, y4)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, a)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, b)), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, y3), y4, y5)), y6, b)))
   MARK(f(f(f(b, y0, f(c, y1, y2)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(c, y1, y2)), y3, b)))
   MARK(f(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b), z1, c)) -> c7(MARK(f(f(b, y0, f(b, y1, f(y2, y3, y4))), y5, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, a), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, y2), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, b), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, y5)), y6, a)), y7, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, f(y5, y6, y7))), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, c)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, a)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(y3, y4, b)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(f(y3, y4, y5), y6, y7)), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(c, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(a, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, f(b, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, f(y5, y6, y7)), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(a, y1, f(y2, y3, y4)), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, c), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(y1, y2, c), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, c), y2, a)), y3, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, f(y3, y4, y5)), y6, y7), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, c), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, a), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, b), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(f(y1, y2, y3), y4, y5), y6, y7), y8, a)), y9, b)))
   MARK(f(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(c, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(a, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(b, y1, y2), y3, y4), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, a), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, b), y5, a)), y6, b)))
   MARK(f(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(f(y1, y2, y3), y4, y5), y6, a)), y7, b)))
   MARK(f(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(c, y1, y2), y3, a)), y4, b)))
   MARK(f(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b), z1, c)) -> c7(MARK(f(f(b, y0, f(f(b, y1, f(y2, y3, y4)), y5, a)), y6, b)))
K tuples:none
Defined Rule Symbols:   a__f_3, a__c, mark_1

Defined Pair Symbols:   MARK_1, A__F_3

Compound Symbols:   c7_2, c7_1, c8_2, c8_1, c1_1, c2_1