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	n035.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	1.72949 seconds
cpu usage	1.66575
user time	1.14712
system time	0.51863
max virtual memory	692948.0
max residence set size	17556.0

stage attributes

key	value
starexec-result	YES

output

1.55/1.72 YES 1.55/1.72 1.55/1.72 Problem 1: 1.55/1.72 1.55/1.72 (VAR b x y) 1.55/1.72 (THEORY 1.55/1.72 (AC * + U)) 1.55/1.72 (RULES 1.55/1.72 *(0,x) -> 0 1.55/1.72 *(s(x),s(y)) -> s(+(+(x,y),*(x,y))) 1.55/1.72 +(0,x) -> x 1.55/1.72 +(s(x),s(y)) -> s(s(+(x,y))) 1.55/1.72 U(empty,b) -> b 1.55/1.72 prod(U(x,y)) -> *(prod(x),prod(y)) 1.55/1.72 prod(empty) -> s(0) 1.55/1.72 prod(singl(x)) -> x 1.55/1.72 sum(U(x,y)) -> +(sum(x),sum(y)) 1.55/1.72 sum(empty) -> 0 1.55/1.72 sum(singl(x)) -> x 1.55/1.72 ) 1.55/1.72 1.55/1.72 Problem 1: 1.55/1.72 1.55/1.72 Dependency Pairs Processor: 1.55/1.72 -> FAxioms: 1.55/1.72 *#(*(x3,x4),x5) = *#(x3,*(x4,x5)) 1.55/1.72 *#(x3,x4) = *#(x4,x3) 1.55/1.72 +#(+(x3,x4),x5) = +#(x3,+(x4,x5)) 1.55/1.72 +#(x3,x4) = +#(x4,x3) 1.55/1.72 U#(U(x3,x4),x5) = U#(x3,U(x4,x5)) 1.55/1.72 U#(x3,x4) = U#(x4,x3) 1.55/1.72 -> Pairs: 1.55/1.72 *#(*(0,x),x3) -> *#(0,x3) 1.55/1.72 *#(*(s(x),s(y)),x3) -> *#(s(+(+(x,y),*(x,y))),x3) 1.55/1.72 *#(*(s(x),s(y)),x3) -> *#(x,y) 1.55/1.72 *#(*(s(x),s(y)),x3) -> +#(+(x,y),*(x,y)) 1.55/1.72 *#(*(s(x),s(y)),x3) -> +#(x,y) 1.55/1.72 *#(s(x),s(y)) -> *#(x,y) 1.55/1.72 *#(s(x),s(y)) -> +#(+(x,y),*(x,y)) 1.55/1.72 *#(s(x),s(y)) -> +#(x,y) 1.55/1.72 +#(+(0,x),x3) -> +#(x,x3) 1.55/1.72 +#(+(s(x),s(y)),x3) -> +#(s(s(+(x,y))),x3) 1.55/1.72 +#(+(s(x),s(y)),x3) -> +#(x,y) 1.55/1.72 +#(s(x),s(y)) -> +#(x,y) 1.55/1.72 U#(U(empty,b),x3) -> U#(b,x3) 1.55/1.72 PROD(U(x,y)) -> *#(prod(x),prod(y)) 1.55/1.72 PROD(U(x,y)) -> PROD(x) 1.55/1.72 PROD(U(x,y)) -> PROD(y) 1.55/1.72 SUM(U(x,y)) -> +#(sum(x),sum(y)) 1.55/1.72 SUM(U(x,y)) -> SUM(x) 1.55/1.72 SUM(U(x,y)) -> SUM(y) 1.55/1.72 -> EAxioms: 1.55/1.72 *(*(x3,x4),x5) = *(x3,*(x4,x5)) 1.55/1.72 *(x3,x4) = *(x4,x3) 1.55/1.72 +(+(x3,x4),x5) = +(x3,+(x4,x5)) 1.55/1.72 +(x3,x4) = +(x4,x3) 1.55/1.72 U(U(x3,x4),x5) = U(x3,U(x4,x5)) 1.55/1.72 U(x3,x4) = U(x4,x3) 1.55/1.72 -> Rules: 1.55/1.72 *(0,x) -> 0 1.55/1.72 *(s(x),s(y)) -> s(+(+(x,y),*(x,y))) 1.55/1.72 +(0,x) -> x 1.55/1.72 +(s(x),s(y)) -> s(s(+(x,y))) 1.55/1.72 U(empty,b) -> b 1.55/1.72 prod(U(x,y)) -> *(prod(x),prod(y)) 1.55/1.72 prod(empty) -> s(0) 1.55/1.72 prod(singl(x)) -> x 1.55/1.72 sum(U(x,y)) -> +(sum(x),sum(y)) 1.55/1.72 sum(empty) -> 0 1.55/1.72 sum(singl(x)) -> x 1.55/1.72 -> SRules: 1.55/1.72 *#(*(x3,x4),x5) -> *#(x3,x4) 1.55/1.72 *#(x3,*(x4,x5)) -> *#(x4,x5) 1.55/1.72 +#(+(x3,x4),x5) -> +#(x3,x4) 1.55/1.72 +#(x3,+(x4,x5)) -> +#(x4,x5) 1.55/1.72 U#(U(x3,x4),x5) -> U#(x3,x4) 1.55/1.72 U#(x3,U(x4,x5)) -> U#(x4,x5) 1.55/1.72 1.55/1.72 Problem 1: 1.55/1.72 1.55/1.72 SCC Processor: 1.55/1.72 -> FAxioms: 1.55/1.72 *#(*(x3,x4),x5) = *#(x3,*(x4,x5)) 1.55/1.72 *#(x3,x4) = *#(x4,x3) 1.55/1.72 +#(+(x3,x4),x5) = +#(x3,+(x4,x5)) 1.55/1.72 +#(x3,x4) = +#(x4,x3) 1.55/1.72 U#(U(x3,x4),x5) = U#(x3,U(x4,x5)) 1.55/1.72 U#(x3,x4) = U#(x4,x3) 1.55/1.72 -> Pairs: 1.55/1.72 *#(*(0,x),x3) -> *#(0,x3) 1.55/1.72 *#(*(s(x),s(y)),x3) -> *#(s(+(+(x,y),*(x,y))),x3) 1.55/1.72 *#(*(s(x),s(y)),x3) -> *#(x,y) 1.55/1.72 *#(*(s(x),s(y)),x3) -> +#(+(x,y),*(x,y)) 1.55/1.72 *#(*(s(x),s(y)),x3) -> +#(x,y) 1.55/1.72 *#(s(x),s(y)) -> *#(x,y) 1.55/1.72 *#(s(x),s(y)) -> +#(+(x,y),*(x,y)) 1.55/1.72 *#(s(x),s(y)) -> +#(x,y) 1.55/1.72 +#(+(0,x),x3) -> +#(x,x3) 1.55/1.72 +#(+(s(x),s(y)),x3) -> +#(s(s(+(x,y))),x3) 1.55/1.72 +#(+(s(x),s(y)),x3) -> +#(x,y) popout

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job log

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actions

all output return to TRS_Equational 2019-03-21 05.09