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TRS Equational pair #487523236
details
property
value
status
complete
benchmark
differ.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.39505314827 seconds
cpu usage
0.345905448
max memory
5259264.0
stage attributes
key
value
output-size
5016
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 f g) (THEORY (AC * +)) (RULES dx(*(f,g)) -> +(*(dx(f),g),*(dx(g),f)) dx(+(f,g)) -> +(dx(f),dx(g)) dx(-(f,g)) -> -(dx(f),dx(g)) dx(/(f,g)) -> -(/(dx(f),g),/(*(dx(g),f),exp(g,2))) dx(0) -> 0 dx(1) -> 0 dx(X) -> 1 dx(a) -> 0 dx(exp(f,g)) -> +(*(dx(f),*(exp(f,-(g,1)),g)),*(dx(g),*(exp(f,g),ln(f)))) dx(ln(f)) -> /(dx(f),f) dx(neg(f)) -> neg(dx(f)) ) Problem 1: Dependency Pairs Processor: -> FAxioms: *#(*(x2,x3),x4) = *#(x2,*(x3,x4)) *#(x2,x3) = *#(x3,x2) +#(+(x2,x3),x4) = +#(x2,+(x3,x4)) +#(x2,x3) = +#(x3,x2) -> Pairs: DX(*(f,g)) -> DX(f) DX(*(f,g)) -> DX(g) DX(+(f,g)) -> DX(f) DX(+(f,g)) -> DX(g) DX(-(f,g)) -> DX(f) DX(-(f,g)) -> DX(g) DX(/(f,g)) -> DX(f) DX(/(f,g)) -> DX(g) DX(exp(f,g)) -> DX(f) DX(exp(f,g)) -> DX(g) DX(ln(f)) -> DX(f) DX(neg(f)) -> DX(f) -> EAxioms: *(*(x2,x3),x4) = *(x2,*(x3,x4)) *(x2,x3) = *(x3,x2) +(+(x2,x3),x4) = +(x2,+(x3,x4)) +(x2,x3) = +(x3,x2) -> Rules: dx(*(f,g)) -> +(*(dx(f),g),*(dx(g),f)) dx(+(f,g)) -> +(dx(f),dx(g)) dx(-(f,g)) -> -(dx(f),dx(g)) dx(/(f,g)) -> -(/(dx(f),g),/(*(dx(g),f),exp(g,2))) dx(0) -> 0 dx(1) -> 0 dx(X) -> 1 dx(a) -> 0 dx(exp(f,g)) -> +(*(dx(f),*(exp(f,-(g,1)),g)),*(dx(g),*(exp(f,g),ln(f)))) dx(ln(f)) -> /(dx(f),f) dx(neg(f)) -> neg(dx(f)) -> SRules: *#(*(x2,x3),x4) -> *#(x2,x3) *#(x2,*(x3,x4)) -> *#(x3,x4) +#(+(x2,x3),x4) -> +#(x2,x3) +#(x2,+(x3,x4)) -> +#(x3,x4) Problem 1: SCC Processor: -> FAxioms: *#(*(x2,x3),x4) = *#(x2,*(x3,x4)) *#(x2,x3) = *#(x3,x2) +#(+(x2,x3),x4) = +#(x2,+(x3,x4)) +#(x2,x3) = +#(x3,x2) -> Pairs: DX(*(f,g)) -> DX(f) DX(*(f,g)) -> DX(g) DX(+(f,g)) -> DX(f) DX(+(f,g)) -> DX(g) DX(-(f,g)) -> DX(f) DX(-(f,g)) -> DX(g) DX(/(f,g)) -> DX(f) DX(/(f,g)) -> DX(g) DX(exp(f,g)) -> DX(f) DX(exp(f,g)) -> DX(g) DX(ln(f)) -> DX(f) DX(neg(f)) -> DX(f) -> EAxioms: *(*(x2,x3),x4) = *(x2,*(x3,x4)) *(x2,x3) = *(x3,x2) +(+(x2,x3),x4) = +(x2,+(x3,x4)) +(x2,x3) = +(x3,x2) -> Rules: dx(*(f,g)) -> +(*(dx(f),g),*(dx(g),f)) dx(+(f,g)) -> +(dx(f),dx(g))
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