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TRS_Equational 2019-03-21 05.09 pair #429997340
details
property
value
status
complete
benchmark
bag-sum-prod-bin.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n177.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
3.03418 seconds
cpu usage
2.97984
user time
2.04202
system time
0.937821
max virtual memory
693092.0
max residence set size
11920.0
stage attributes
key
value
starexec-result
YES
output
2.93/3.02 YES 2.93/3.02 2.93/3.02 Problem 1: 2.93/3.02 2.93/3.02 (VAR b x y) 2.93/3.02 (THEORY 2.93/3.02 (AC * + U)) 2.93/3.02 (RULES 2.93/3.02 *(0(x),y) -> 0(*(x,y)) 2.93/3.02 *(#,x) -> # 2.93/3.02 *(1(x),y) -> +(0(*(x,y)),y) 2.93/3.02 +(0(x),0(y)) -> 0(+(x,y)) 2.93/3.02 +(0(x),1(y)) -> 1(+(x,y)) 2.93/3.02 +(#,x) -> x 2.93/3.02 +(1(x),1(y)) -> 0(+(1(#),+(x,y))) 2.93/3.02 0(#) -> # 2.93/3.02 U(empty,b) -> b 2.93/3.02 prod(U(x,y)) -> *(prod(x),prod(y)) 2.93/3.02 prod(empty) -> 1(#) 2.93/3.02 prod(singl(x)) -> x 2.93/3.02 sum(U(x,y)) -> +(sum(x),sum(y)) 2.93/3.02 sum(empty) -> 0(#) 2.93/3.02 sum(singl(x)) -> x 2.93/3.02 ) 2.93/3.02 2.93/3.02 Problem 1: 2.93/3.02 2.93/3.02 Dependency Pairs Processor: 2.93/3.02 -> FAxioms: 2.93/3.02 *#(*(x3,x4),x5) = *#(x3,*(x4,x5)) 2.93/3.02 *#(x3,x4) = *#(x4,x3) 2.93/3.02 +#(+(x3,x4),x5) = +#(x3,+(x4,x5)) 2.93/3.02 +#(x3,x4) = +#(x4,x3) 2.93/3.02 U#(U(x3,x4),x5) = U#(x3,U(x4,x5)) 2.93/3.02 U#(x3,x4) = U#(x4,x3) 2.93/3.02 -> Pairs: 2.93/3.02 *#(*(0(x),y),x3) -> *#(0(*(x,y)),x3) 2.93/3.02 *#(*(0(x),y),x3) -> *#(x,y) 2.93/3.02 *#(*(0(x),y),x3) -> 0#(*(x,y)) 2.93/3.02 *#(*(#,x),x3) -> *#(#,x3) 2.93/3.02 *#(*(1(x),y),x3) -> *#(+(0(*(x,y)),y),x3) 2.93/3.02 *#(*(1(x),y),x3) -> *#(x,y) 2.93/3.02 *#(*(1(x),y),x3) -> +#(0(*(x,y)),y) 2.93/3.02 *#(*(1(x),y),x3) -> 0#(*(x,y)) 2.93/3.02 *#(0(x),y) -> *#(x,y) 2.93/3.02 *#(0(x),y) -> 0#(*(x,y)) 2.93/3.02 *#(1(x),y) -> *#(x,y) 2.93/3.02 *#(1(x),y) -> +#(0(*(x,y)),y) 2.93/3.02 *#(1(x),y) -> 0#(*(x,y)) 2.93/3.02 +#(+(0(x),0(y)),x3) -> +#(0(+(x,y)),x3) 2.93/3.02 +#(+(0(x),0(y)),x3) -> +#(x,y) 2.93/3.02 +#(+(0(x),0(y)),x3) -> 0#(+(x,y)) 2.93/3.02 +#(+(0(x),1(y)),x3) -> +#(1(+(x,y)),x3) 2.93/3.02 +#(+(0(x),1(y)),x3) -> +#(x,y) 2.93/3.02 +#(+(#,x),x3) -> +#(x,x3) 2.93/3.02 +#(+(1(x),1(y)),x3) -> +#(0(+(1(#),+(x,y))),x3) 2.93/3.02 +#(+(1(x),1(y)),x3) -> +#(1(#),+(x,y)) 2.93/3.02 +#(+(1(x),1(y)),x3) -> +#(x,y) 2.93/3.02 +#(+(1(x),1(y)),x3) -> 0#(+(1(#),+(x,y))) 2.93/3.02 +#(0(x),0(y)) -> +#(x,y) 2.93/3.02 +#(0(x),0(y)) -> 0#(+(x,y)) 2.93/3.02 +#(0(x),1(y)) -> +#(x,y) 2.93/3.02 +#(1(x),1(y)) -> +#(1(#),+(x,y)) 2.93/3.02 +#(1(x),1(y)) -> +#(x,y) 2.93/3.02 +#(1(x),1(y)) -> 0#(+(1(#),+(x,y))) 2.93/3.02 U#(U(empty,b),x3) -> U#(b,x3) 2.93/3.02 PROD(U(x,y)) -> *#(prod(x),prod(y)) 2.93/3.02 PROD(U(x,y)) -> PROD(x) 2.93/3.02 PROD(U(x,y)) -> PROD(y) 2.93/3.02 SUM(U(x,y)) -> +#(sum(x),sum(y)) 2.93/3.02 SUM(U(x,y)) -> SUM(x) 2.93/3.02 SUM(U(x,y)) -> SUM(y) 2.93/3.02 SUM(empty) -> 0#(#) 2.93/3.02 -> EAxioms: 2.93/3.02 *(*(x3,x4),x5) = *(x3,*(x4,x5)) 2.93/3.02 *(x3,x4) = *(x4,x3) 2.93/3.02 +(+(x3,x4),x5) = +(x3,+(x4,x5)) 2.93/3.02 +(x3,x4) = +(x4,x3) 2.93/3.02 U(U(x3,x4),x5) = U(x3,U(x4,x5)) 2.93/3.02 U(x3,x4) = U(x4,x3) 2.93/3.02 -> Rules: 2.93/3.02 *(0(x),y) -> 0(*(x,y)) 2.93/3.02 *(#,x) -> # 2.93/3.02 *(1(x),y) -> +(0(*(x,y)),y) 2.93/3.02 +(0(x),0(y)) -> 0(+(x,y)) 2.93/3.02 +(0(x),1(y)) -> 1(+(x,y)) 2.93/3.02 +(#,x) -> x 2.93/3.02 +(1(x),1(y)) -> 0(+(1(#),+(x,y))) 2.93/3.02 0(#) -> # 2.93/3.02 U(empty,b) -> b 2.93/3.02 prod(U(x,y)) -> *(prod(x),prod(y)) 2.93/3.02 prod(empty) -> 1(#) 2.93/3.02 prod(singl(x)) -> x 2.93/3.02 sum(U(x,y)) -> +(sum(x),sum(y)) 2.93/3.02 sum(empty) -> 0(#) 2.93/3.02 sum(singl(x)) -> x 2.93/3.02 -> SRules: 2.93/3.02 *#(*(x3,x4),x5) -> *#(x3,x4) 2.93/3.02 *#(x3,*(x4,x5)) -> *#(x4,x5) 2.93/3.02 +#(+(x3,x4),x5) -> +#(x3,x4)
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