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TRS Equat 89423 pair #381732639
details
property
value
status
complete
benchmark
AC44.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n051.star.cs.uiowa.edu
space
Mixed_C
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.357779026031 seconds
cpu usage
0.265585894
max memory
4481024.0
stage attributes
key
value
output-size
8802
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 x y) (THEORY (C gcd)) (RULES gcd(0,y) -> y gcd(s(x),0) -> s(x) gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) if_gcd(false,s(x),s(y)) -> gcd(minus(y,x),s(x)) if_gcd(true,s(x),s(y)) -> gcd(minus(x,y),s(y)) if_minus(false,s(x),y) -> s(minus(x,y)) if_minus(true,s(x),y) -> 0 le(0,y) -> true le(s(x),0) -> false le(s(x),s(y)) -> le(x,y) minus(0,y) -> 0 minus(s(x),y) -> if_minus(le(s(x),y),s(x),y) ) Problem 1: Dependency Pairs Processor: -> FAxioms: GCD(x2,x3) = GCD(x3,x2) -> Pairs: GCD(s(x),s(y)) -> IF_GCD(le(y,x),s(x),s(y)) GCD(s(x),s(y)) -> LE(y,x) IF_GCD(false,s(x),s(y)) -> GCD(minus(y,x),s(x)) IF_GCD(false,s(x),s(y)) -> MINUS(y,x) IF_GCD(true,s(x),s(y)) -> GCD(minus(x,y),s(y)) IF_GCD(true,s(x),s(y)) -> MINUS(x,y) IF_MINUS(false,s(x),y) -> MINUS(x,y) LE(s(x),s(y)) -> LE(x,y) MINUS(s(x),y) -> IF_MINUS(le(s(x),y),s(x),y) MINUS(s(x),y) -> LE(s(x),y) -> EAxioms: gcd(x2,x3) = gcd(x3,x2) -> Rules: gcd(0,y) -> y gcd(s(x),0) -> s(x) gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) if_gcd(false,s(x),s(y)) -> gcd(minus(y,x),s(x)) if_gcd(true,s(x),s(y)) -> gcd(minus(x,y),s(y)) if_minus(false,s(x),y) -> s(minus(x,y)) if_minus(true,s(x),y) -> 0 le(0,y) -> true le(s(x),0) -> false le(s(x),s(y)) -> le(x,y) minus(0,y) -> 0 minus(s(x),y) -> if_minus(le(s(x),y),s(x),y) -> SRules: Empty Problem 1: SCC Processor: -> FAxioms: GCD(x2,x3) = GCD(x3,x2) -> Pairs: GCD(s(x),s(y)) -> IF_GCD(le(y,x),s(x),s(y)) GCD(s(x),s(y)) -> LE(y,x) IF_GCD(false,s(x),s(y)) -> GCD(minus(y,x),s(x)) IF_GCD(false,s(x),s(y)) -> MINUS(y,x) IF_GCD(true,s(x),s(y)) -> GCD(minus(x,y),s(y)) IF_GCD(true,s(x),s(y)) -> MINUS(x,y) IF_MINUS(false,s(x),y) -> MINUS(x,y) LE(s(x),s(y)) -> LE(x,y) MINUS(s(x),y) -> IF_MINUS(le(s(x),y),s(x),y) MINUS(s(x),y) -> LE(s(x),y) -> EAxioms: gcd(x2,x3) = gcd(x3,x2) -> Rules: gcd(0,y) -> y gcd(s(x),0) -> s(x) gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) if_gcd(false,s(x),s(y)) -> gcd(minus(y,x),s(x)) if_gcd(true,s(x),s(y)) -> gcd(minus(x,y),s(y)) if_minus(false,s(x),y) -> s(minus(x,y)) if_minus(true,s(x),y) -> 0 le(0,y) -> true le(s(x),0) -> false le(s(x),s(y)) -> le(x,y) minus(0,y) -> 0 minus(s(x),y) -> if_minus(le(s(x),y),s(x),y) -> SRules: Empty ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: LE(s(x),s(y)) -> LE(x,y) -> FAxioms:
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