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TRS Conditional pair #487563021
details
property
value
status
complete
benchmark
jlap09-ex16.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n081.star.cs.uiowa.edu
space
Mixed_CTRS_2014
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.222437858582 seconds
cpu usage
0.063293504
max memory
5103616.0
stage attributes
key
value
output-size
13075
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S x:S) (RULES f(x:S) -> c | a ->* b g(x:S,x:S) -> g(f(a),f(b)) ) Problem 1: Valid CTRS Processor: -> Rules: f(x:S) -> c | a ->* b g(x:S,x:S) -> g(f(a),f(b)) -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: G(x:S,x:S) -> F(a) G(x:S,x:S) -> F(b) G(x:S,x:S) -> G(f(a),f(b)) -> QPairs: Empty -> Rules: f(x:S) -> c | a ->* b g(x:S,x:S) -> g(f(a),f(b)) Conditional Termination Problem 2: -> Pairs: Empty -> QPairs: Empty -> Rules: f(x:S) -> c | a ->* b g(x:S,x:S) -> g(f(a),f(b)) The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: G(x:S,x:S) -> F(a) G(x:S,x:S) -> F(b) G(x:S,x:S) -> G(f(a),f(b)) -> QPairs: Empty -> Rules: f(x:S) -> c | a ->* b g(x:S,x:S) -> g(f(a),f(b)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: G(x:S,x:S) -> G(f(a),f(b)) -> QPairs: Empty ->->-> Rules: f(x:S) -> c | a ->* b g(x:S,x:S) -> g(f(a),f(b)) Problem 1.1: Reduction Pair Processor: -> Pairs: G(x:S,x:S) -> G(f(a),f(b)) -> Rules: f(x:S) -> c | a ->* b g(x:S,x:S) -> g(f(a),f(b)) -> Needed rules: f(x:S) -> c | a ->* b -> Usable rules: Empty ->Mace4 Output: ============================== Mace4 ================================= Mace4 (64) version 2009-11A, November 2009. Process 52533 was started by sandbox on n081.star.cs.uiowa.edu, Wed Jul 1 10:31:50 2020 The command was "./mace4 -c -f /tmp/mace41957747793424238335.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file /tmp/mace41957747793424238335.in assign(max_seconds,20). formulas(assumptions). arrowStar_s0(x,x) # label(reflexivity).
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