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TRS Equat 89423 pair #381732771
details
property
value
status
complete
benchmark
bag-sum-prod.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n083.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
1.5923500061 seconds
cpu usage
1.467335372
max memory
2.2556672E7
stage attributes
key
value
output-size
35225
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 b x y) (THEORY (AC * + U)) (RULES *(0,x) -> 0 *(s(x),s(y)) -> s(+(+(x,y),*(x,y))) +(0,x) -> x +(s(x),s(y)) -> s(s(+(x,y))) U(empty,b) -> b prod(U(x,y)) -> *(prod(x),prod(y)) prod(empty) -> s(0) prod(singl(x)) -> x sum(U(x,y)) -> +(sum(x),sum(y)) sum(empty) -> 0 sum(singl(x)) -> x ) Problem 1: Dependency Pairs Processor: -> FAxioms: *#(*(x3,x4),x5) = *#(x3,*(x4,x5)) *#(x3,x4) = *#(x4,x3) +#(+(x3,x4),x5) = +#(x3,+(x4,x5)) +#(x3,x4) = +#(x4,x3) U#(U(x3,x4),x5) = U#(x3,U(x4,x5)) U#(x3,x4) = U#(x4,x3) -> Pairs: *#(*(0,x),x3) -> *#(0,x3) *#(*(s(x),s(y)),x3) -> *#(s(+(+(x,y),*(x,y))),x3) *#(*(s(x),s(y)),x3) -> *#(x,y) *#(*(s(x),s(y)),x3) -> +#(+(x,y),*(x,y)) *#(*(s(x),s(y)),x3) -> +#(x,y) *#(s(x),s(y)) -> *#(x,y) *#(s(x),s(y)) -> +#(+(x,y),*(x,y)) *#(s(x),s(y)) -> +#(x,y) +#(+(0,x),x3) -> +#(x,x3) +#(+(s(x),s(y)),x3) -> +#(s(s(+(x,y))),x3) +#(+(s(x),s(y)),x3) -> +#(x,y) +#(s(x),s(y)) -> +#(x,y) U#(U(empty,b),x3) -> U#(b,x3) PROD(U(x,y)) -> *#(prod(x),prod(y)) PROD(U(x,y)) -> PROD(x) PROD(U(x,y)) -> PROD(y) SUM(U(x,y)) -> +#(sum(x),sum(y)) SUM(U(x,y)) -> SUM(x) SUM(U(x,y)) -> SUM(y) -> EAxioms: *(*(x3,x4),x5) = *(x3,*(x4,x5)) *(x3,x4) = *(x4,x3) +(+(x3,x4),x5) = +(x3,+(x4,x5)) +(x3,x4) = +(x4,x3) U(U(x3,x4),x5) = U(x3,U(x4,x5)) U(x3,x4) = U(x4,x3) -> Rules: *(0,x) -> 0 *(s(x),s(y)) -> s(+(+(x,y),*(x,y))) +(0,x) -> x +(s(x),s(y)) -> s(s(+(x,y))) U(empty,b) -> b prod(U(x,y)) -> *(prod(x),prod(y)) prod(empty) -> s(0) prod(singl(x)) -> x sum(U(x,y)) -> +(sum(x),sum(y)) sum(empty) -> 0 sum(singl(x)) -> x -> SRules: *#(*(x3,x4),x5) -> *#(x3,x4) *#(x3,*(x4,x5)) -> *#(x4,x5) +#(+(x3,x4),x5) -> +#(x3,x4) +#(x3,+(x4,x5)) -> +#(x4,x5) U#(U(x3,x4),x5) -> U#(x3,x4) U#(x3,U(x4,x5)) -> U#(x4,x5) Problem 1: SCC Processor: -> FAxioms: *#(*(x3,x4),x5) = *#(x3,*(x4,x5)) *#(x3,x4) = *#(x4,x3) +#(+(x3,x4),x5) = +#(x3,+(x4,x5)) +#(x3,x4) = +#(x4,x3) U#(U(x3,x4),x5) = U#(x3,U(x4,x5)) U#(x3,x4) = U#(x4,x3) -> Pairs: *#(*(0,x),x3) -> *#(0,x3) *#(*(s(x),s(y)),x3) -> *#(s(+(+(x,y),*(x,y))),x3) *#(*(s(x),s(y)),x3) -> *#(x,y) *#(*(s(x),s(y)),x3) -> +#(+(x,y),*(x,y)) *#(*(s(x),s(y)),x3) -> +#(x,y)
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