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TRS Standard pair #516964011
details
property
value
status
complete
benchmark
11.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
Various_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.237401008606 seconds
cpu usage
0.155461475
max memory
4382720.0
stage attributes
key
value
output-size
9540
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES f(0,1,x:S) -> f(h(x:S),h(x:S),x:S) h(0) -> 0 h(g(x:S,y:S)) -> y:S ) Problem 1: Innermost Equivalent Processor: -> Rules: f(0,1,x:S) -> f(h(x:S),h(x:S),x:S) h(0) -> 0 h(g(x:S,y:S)) -> y:S -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(0,1,x:S) -> F(h(x:S),h(x:S),x:S) F(0,1,x:S) -> H(x:S) -> Rules: f(0,1,x:S) -> f(h(x:S),h(x:S),x:S) h(0) -> 0 h(g(x:S,y:S)) -> y:S Problem 1: SCC Processor: -> Pairs: F(0,1,x:S) -> F(h(x:S),h(x:S),x:S) F(0,1,x:S) -> H(x:S) -> Rules: f(0,1,x:S) -> f(h(x:S),h(x:S),x:S) h(0) -> 0 h(g(x:S,y:S)) -> y:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(0,1,x:S) -> F(h(x:S),h(x:S),x:S) ->->-> Rules: f(0,1,x:S) -> f(h(x:S),h(x:S),x:S) h(0) -> 0 h(g(x:S,y:S)) -> y:S Problem 1: Reduction Pair Processor: -> Pairs: F(0,1,x:S) -> F(h(x:S),h(x:S),x:S) -> Rules: f(0,1,x:S) -> f(h(x:S),h(x:S),x:S) h(0) -> 0 h(g(x:S,y:S)) -> y:S -> Usable rules: h(0) -> 0 h(g(x:S,y:S)) -> y:S ->Mace4 Output: ============================== Mace4 ================================= Mace4 (64) version 2009-11A, November 2009. Process 26944 was started by sandbox2 on n081.star.cs.uiowa.edu, Tue Jul 13 15:01:54 2021 The command was "./mace4 -c -f /tmp/mace4336465782861021530.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file /tmp/mace4336465782861021530.in assign(max_seconds,20). formulas(assumptions). gtrsim_s0(x,y) & sqsupset_s0(y,z) -> sqsupset_s0(x,z) # label(compatibility). succeq_s0(x,y) & sqsupset_s0(y,z) -> sqsupset_s0(x,z) # label(compatibility). gtrsim_s0(x,y) & succeq_s0(y,z) -> gtrsim_s0(x,z) # label(compatibility). arrow_s0(x1,y) -> arrow_s0(f2(x1,x2,x3),f2(y,x2,x3)) # label(congruence). arrow_s0(x2,y) -> arrow_s0(f2(x1,x2,x3),f2(x1,y,x3)) # label(congruence). arrow_s0(x3,y) -> arrow_s0(f2(x1,x2,x3),f2(x1,x2,y)) # label(congruence). arrow_s0(x1,y) -> arrow_s0(f3(x1),f3(y)) # label(congruence). arrow_s0(x1,y) -> arrow_s0(f7(x1,x2),f7(y,x2)) # label(congruence). arrow_s0(x2,y) -> arrow_s0(f7(x1,x2),f7(x1,y)) # label(congruence). arrow_s0(x1,y) -> arrow_s0(f9(x1,x2,x3),f9(y,x2,x3)) # label(congruence). arrow_s0(x2,y) -> arrow_s0(f9(x1,x2,x3),f9(x1,y,x3)) # label(congruence). arrow_s0(x3,y) -> arrow_s0(f9(x1,x2,x3),f9(x1,x2,y)) # label(congruence). arrow_s0(x1,y) -> arrow_s0(f10(x1),f10(y)) # label(congruence). arrow_s0(f3(f4),f4) # label(replacement). arrow_s0(f3(f7(x1,x2)),x2) # label(replacement). arrow_s0(x,y) -> gtrsim_s0(x,y) # label(inclusion).
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