/bin/sh: line 1: 42295 Quit                    (core dumped) z3 -T:13.845 -smt2 /tmp/SMTP42123-86 > /tmp/SMTS42123-87
/bin/sh: line 1: 42296 Quit                    (core dumped) z3 -T:13.845 -smt2 /tmp/SMTP42123-72 > /tmp/SMTS42123-73
/bin/sh: line 1: 42290 Quit                    (core dumped) z3 -T:13.845 -smt2 /tmp/SMTP42123-64 > /tmp/SMTS42123-65
/bin/sh: line 1: 42298 Quit                    (core dumped) z3 -T:13.845 -smt2 /tmp/SMTP42123-78 > /tmp/SMTS42123-79
WORST_CASE(Omega(n^1),O(n^1))
* Step 1: Sum.  WORST_CASE(Omega(n^1),O(n^1))
    + Considered Problem:
        - Strict TRS:
            a__c(X) -> c(X)
            a__c(X) -> d(X)
            a__f(X) -> f(X)
            a__f(f(X)) -> a__c(f(g(f(X))))
            a__h(X) -> a__c(d(X))
            a__h(X) -> h(X)
            mark(c(X)) -> a__c(X)
            mark(d(X)) -> d(X)
            mark(f(X)) -> a__f(mark(X))
            mark(g(X)) -> g(X)
            mark(h(X)) -> a__h(mark(X))
        - Signature:
            {a__c/1,a__f/1,a__h/1,mark/1} / {c/1,d/1,f/1,g/1,h/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {a__c,a__f,a__h,mark} and constructors {c,d,f,g,h}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
** Step 1.a:1: Sum.  WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            a__c(X) -> c(X)
            a__c(X) -> d(X)
            a__f(X) -> f(X)
            a__f(f(X)) -> a__c(f(g(f(X))))
            a__h(X) -> a__c(d(X))
            a__h(X) -> h(X)
            mark(c(X)) -> a__c(X)
            mark(d(X)) -> d(X)
            mark(f(X)) -> a__f(mark(X))
            mark(g(X)) -> g(X)
            mark(h(X)) -> a__h(mark(X))
        - Signature:
            {a__c/1,a__f/1,a__h/1,mark/1} / {c/1,d/1,f/1,g/1,h/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {a__c,a__f,a__h,mark} and constructors {c,d,f,g,h}
    + Applied Processor:
        Sum {left = someStrategy, right = someStrategy}
    + Details:
        ()
** Step 1.a:2: DecreasingLoops.  WORST_CASE(Omega(n^1),?)
    + Considered Problem:
        - Strict TRS:
            a__c(X) -> c(X)
            a__c(X) -> d(X)
            a__f(X) -> f(X)
            a__f(f(X)) -> a__c(f(g(f(X))))
            a__h(X) -> a__c(d(X))
            a__h(X) -> h(X)
            mark(c(X)) -> a__c(X)
            mark(d(X)) -> d(X)
            mark(f(X)) -> a__f(mark(X))
            mark(g(X)) -> g(X)
            mark(h(X)) -> a__h(mark(X))
        - Signature:
            {a__c/1,a__f/1,a__h/1,mark/1} / {c/1,d/1,f/1,g/1,h/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {a__c,a__f,a__h,mark} and constructors {c,d,f,g,h}
    + Applied Processor:
        DecreasingLoops {bound = AnyLoop, narrow = 10}
    + Details:
        The system has following decreasing Loops:
          mark(x){x -> f(x)} =
            mark(f(x)) ->^+ a__f(mark(x))
              = C[mark(x) = mark(x){}]

** Step 1.b:1: Bounds.  WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            a__c(X) -> c(X)
            a__c(X) -> d(X)
            a__f(X) -> f(X)
            a__f(f(X)) -> a__c(f(g(f(X))))
            a__h(X) -> a__c(d(X))
            a__h(X) -> h(X)
            mark(c(X)) -> a__c(X)
            mark(d(X)) -> d(X)
            mark(f(X)) -> a__f(mark(X))
            mark(g(X)) -> g(X)
            mark(h(X)) -> a__h(mark(X))
        - Signature:
            {a__c/1,a__f/1,a__h/1,mark/1} / {c/1,d/1,f/1,g/1,h/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {a__c,a__f,a__h,mark} and constructors {c,d,f,g,h}
    + Applied Processor:
        Bounds {initialAutomaton = minimal, enrichment = match}
    + Details:
        The problem is match-bounded by 3.
        The enriched problem is compatible with follwoing automaton.
          a__c_0(2) -> 1
          a__c_1(1) -> 1
          a__c_1(2) -> 1
          a__c_1(2) -> 5
          a__c_1(3) -> 1
          a__c_2(6) -> 1
          a__c_2(6) -> 5
          a__f_0(2) -> 1
          a__f_1(5) -> 1
          a__f_1(5) -> 5
          a__h_0(2) -> 1
          a__h_1(5) -> 1
          a__h_1(5) -> 5
          c_0(2) -> 2
          c_1(2) -> 1
          c_2(1) -> 1
          c_2(2) -> 1
          c_2(2) -> 5
          c_2(3) -> 1
          c_3(6) -> 1
          c_3(6) -> 5
          d_0(2) -> 2
          d_1(2) -> 1
          d_1(2) -> 5
          d_2(1) -> 1
          d_2(2) -> 1
          d_2(2) -> 5
          d_2(3) -> 1
          d_2(5) -> 6
          d_3(6) -> 1
          d_3(6) -> 5
          f_0(2) -> 2
          f_1(2) -> 1
          f_1(4) -> 3
          f_2(5) -> 1
          f_2(5) -> 5
          f_2(7) -> 6
          g_0(2) -> 2
          g_1(1) -> 4
          g_1(2) -> 1
          g_1(2) -> 5
          g_2(5) -> 7
          h_0(2) -> 2
          h_1(2) -> 1
          h_2(5) -> 1
          h_2(5) -> 5
          mark_0(2) -> 1
          mark_1(2) -> 5
** Step 1.b:2: EmptyProcessor.  WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            a__c(X) -> c(X)
            a__c(X) -> d(X)
            a__f(X) -> f(X)
            a__f(f(X)) -> a__c(f(g(f(X))))
            a__h(X) -> a__c(d(X))
            a__h(X) -> h(X)
            mark(c(X)) -> a__c(X)
            mark(d(X)) -> d(X)
            mark(f(X)) -> a__f(mark(X))
            mark(g(X)) -> g(X)
            mark(h(X)) -> a__h(mark(X))
        - Signature:
            {a__c/1,a__f/1,a__h/1,mark/1} / {c/1,d/1,f/1,g/1,h/1}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {a__c,a__f,a__h,mark} and constructors {c,d,f,g,h}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(Omega(n^1),O(n^1))