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TRS_Equational 2019-03-21 05.09 pair #429997331
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
n036.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.391826 seconds
cpu usage
0.342596
user time
0.215015
system time
0.127581
max virtual memory
113176.0
max residence set size
4900.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.38 YES 0.00/0.38 0.00/0.38 Problem 1: 0.00/0.38 0.00/0.38 (VAR f g) 0.00/0.38 (THEORY 0.00/0.38 (AC * +)) 0.00/0.38 (RULES 0.00/0.38 dx(*(f,g)) -> +(*(dx(f),g),*(dx(g),f)) 0.00/0.38 dx(+(f,g)) -> +(dx(f),dx(g)) 0.00/0.38 dx(-(f,g)) -> -(dx(f),dx(g)) 0.00/0.38 dx(/(f,g)) -> -(/(dx(f),g),/(*(dx(g),f),exp(g,2))) 0.00/0.38 dx(0) -> 0 0.00/0.38 dx(1) -> 0 0.00/0.38 dx(X) -> 1 0.00/0.38 dx(a) -> 0 0.00/0.38 dx(exp(f,g)) -> +(*(dx(f),*(exp(f,-(g,1)),g)),*(dx(g),*(exp(f,g),ln(f)))) 0.00/0.38 dx(ln(f)) -> /(dx(f),f) 0.00/0.38 dx(neg(f)) -> neg(dx(f)) 0.00/0.38 ) 0.00/0.38 0.00/0.38 Problem 1: 0.00/0.38 0.00/0.38 Dependency Pairs Processor: 0.00/0.38 -> FAxioms: 0.00/0.38 *#(*(x2,x3),x4) = *#(x2,*(x3,x4)) 0.00/0.38 *#(x2,x3) = *#(x3,x2) 0.00/0.38 +#(+(x2,x3),x4) = +#(x2,+(x3,x4)) 0.00/0.38 +#(x2,x3) = +#(x3,x2) 0.00/0.38 -> Pairs: 0.00/0.38 DX(*(f,g)) -> DX(f) 0.00/0.38 DX(*(f,g)) -> DX(g) 0.00/0.38 DX(+(f,g)) -> DX(f) 0.00/0.38 DX(+(f,g)) -> DX(g) 0.00/0.38 DX(-(f,g)) -> DX(f) 0.00/0.38 DX(-(f,g)) -> DX(g) 0.00/0.38 DX(/(f,g)) -> DX(f) 0.00/0.38 DX(/(f,g)) -> DX(g) 0.00/0.38 DX(exp(f,g)) -> DX(f) 0.00/0.38 DX(exp(f,g)) -> DX(g) 0.00/0.38 DX(ln(f)) -> DX(f) 0.00/0.38 DX(neg(f)) -> DX(f) 0.00/0.38 -> EAxioms: 0.00/0.38 *(*(x2,x3),x4) = *(x2,*(x3,x4)) 0.00/0.38 *(x2,x3) = *(x3,x2) 0.00/0.38 +(+(x2,x3),x4) = +(x2,+(x3,x4)) 0.00/0.38 +(x2,x3) = +(x3,x2) 0.00/0.38 -> Rules: 0.00/0.38 dx(*(f,g)) -> +(*(dx(f),g),*(dx(g),f)) 0.00/0.38 dx(+(f,g)) -> +(dx(f),dx(g)) 0.00/0.38 dx(-(f,g)) -> -(dx(f),dx(g)) 0.00/0.38 dx(/(f,g)) -> -(/(dx(f),g),/(*(dx(g),f),exp(g,2))) 0.00/0.38 dx(0) -> 0 0.00/0.38 dx(1) -> 0 0.00/0.38 dx(X) -> 1 0.00/0.38 dx(a) -> 0 0.00/0.38 dx(exp(f,g)) -> +(*(dx(f),*(exp(f,-(g,1)),g)),*(dx(g),*(exp(f,g),ln(f)))) 0.00/0.38 dx(ln(f)) -> /(dx(f),f) 0.00/0.38 dx(neg(f)) -> neg(dx(f)) 0.00/0.38 -> SRules: 0.00/0.38 *#(*(x2,x3),x4) -> *#(x2,x3) 0.00/0.38 *#(x2,*(x3,x4)) -> *#(x3,x4) 0.00/0.38 +#(+(x2,x3),x4) -> +#(x2,x3) 0.00/0.38 +#(x2,+(x3,x4)) -> +#(x3,x4) 0.00/0.38 0.00/0.38 Problem 1: 0.00/0.38 0.00/0.38 SCC Processor: 0.00/0.38 -> FAxioms: 0.00/0.38 *#(*(x2,x3),x4) = *#(x2,*(x3,x4)) 0.00/0.38 *#(x2,x3) = *#(x3,x2) 0.00/0.38 +#(+(x2,x3),x4) = +#(x2,+(x3,x4)) 0.00/0.38 +#(x2,x3) = +#(x3,x2) 0.00/0.38 -> Pairs: 0.00/0.38 DX(*(f,g)) -> DX(f) 0.00/0.38 DX(*(f,g)) -> DX(g) 0.00/0.38 DX(+(f,g)) -> DX(f) 0.00/0.38 DX(+(f,g)) -> DX(g) 0.00/0.38 DX(-(f,g)) -> DX(f) 0.00/0.38 DX(-(f,g)) -> DX(g) 0.00/0.38 DX(/(f,g)) -> DX(f) 0.00/0.38 DX(/(f,g)) -> DX(g) 0.00/0.38 DX(exp(f,g)) -> DX(f) 0.00/0.38 DX(exp(f,g)) -> DX(g) 0.00/0.38 DX(ln(f)) -> DX(f) 0.00/0.38 DX(neg(f)) -> DX(f) 0.00/0.38 -> EAxioms: 0.00/0.38 *(*(x2,x3),x4) = *(x2,*(x3,x4)) 0.00/0.38 *(x2,x3) = *(x3,x2) 0.00/0.38 +(+(x2,x3),x4) = +(x2,+(x3,x4)) 0.00/0.38 +(x2,x3) = +(x3,x2) 0.00/0.38 -> Rules: 0.00/0.38 dx(*(f,g)) -> +(*(dx(f),g),*(dx(g),f)) 0.00/0.38 dx(+(f,g)) -> +(dx(f),dx(g)) 0.00/0.38 dx(-(f,g)) -> -(dx(f),dx(g)) 0.00/0.38 dx(/(f,g)) -> -(/(dx(f),g),/(*(dx(g),f),exp(g,2))) 0.00/0.39 dx(0) -> 0 0.00/0.39 dx(1) -> 0 0.00/0.39 dx(X) -> 1 0.00/0.39 dx(a) -> 0
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