details

property	value
status	complete
benchmark	AC27.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n164.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	19.0799 seconds
cpu usage	17.8667
user time	13.8455
system time	4.02126
max virtual memory	707164.0
max residence set size	19408.0

stage attributes

key	value
starexec-result	YES

output

17.44/19.07 YES 17.44/19.07 17.44/19.07 Problem 1: 17.44/19.07 17.44/19.07 (VAR t x y z) 17.44/19.07 (THEORY 17.44/19.07 (AC app plus)) 17.44/19.07 (RULES 17.44/19.07 app(singl(x),singl(y)) -> if(eq(x,y),singl(x),empty) 17.44/19.07 app(x,app(plus(y,z),t)) -> app(plus(app(x,y),app(x,z)),t) 17.44/19.07 app(x,app(empty,z)) -> app(empty,z) 17.44/19.07 app(x,plus(y,z)) -> plus(app(x,y),app(x,z)) 17.44/19.07 app(x,empty) -> empty 17.44/19.07 eq(0,0) -> true 17.44/19.07 eq(0,s(x)) -> false 17.44/19.07 eq(s(x),s(y)) -> eq(x,y) 17.44/19.07 if(false,x,y) -> y 17.44/19.07 if(true,x,y) -> x 17.44/19.07 plus(empty,x) -> x 17.44/19.07 ) 17.44/19.07 17.44/19.07 Problem 1: 17.44/19.07 17.44/19.07 Dependency Pairs Processor: 17.44/19.07 -> FAxioms: 17.44/19.07 APP(app(x4,x5),x6) = APP(x4,app(x5,x6)) 17.44/19.07 APP(x4,x5) = APP(x5,x4) 17.44/19.07 PLUS(plus(x4,x5),x6) = PLUS(x4,plus(x5,x6)) 17.44/19.07 PLUS(x4,x5) = PLUS(x5,x4) 17.44/19.07 -> Pairs: 17.44/19.07 APP(app(singl(x),singl(y)),x4) -> APP(if(eq(x,y),singl(x),empty),x4) 17.44/19.07 APP(app(singl(x),singl(y)),x4) -> EQ(x,y) 17.44/19.07 APP(app(singl(x),singl(y)),x4) -> IF(eq(x,y),singl(x),empty) 17.44/19.07 APP(app(x,app(plus(y,z),t)),x4) -> APP(app(plus(app(x,y),app(x,z)),t),x4) 17.44/19.07 APP(app(x,app(plus(y,z),t)),x4) -> APP(plus(app(x,y),app(x,z)),t) 17.44/19.07 APP(app(x,app(plus(y,z),t)),x4) -> APP(x,y) 17.44/19.07 APP(app(x,app(plus(y,z),t)),x4) -> APP(x,z) 17.44/19.07 APP(app(x,app(plus(y,z),t)),x4) -> PLUS(app(x,y),app(x,z)) 17.44/19.07 APP(app(x,app(empty,z)),x4) -> APP(app(empty,z),x4) 17.44/19.07 APP(app(x,plus(y,z)),x4) -> APP(plus(app(x,y),app(x,z)),x4) 17.44/19.07 APP(app(x,plus(y,z)),x4) -> APP(x,y) 17.44/19.07 APP(app(x,plus(y,z)),x4) -> APP(x,z) 17.44/19.07 APP(app(x,plus(y,z)),x4) -> PLUS(app(x,y),app(x,z)) 17.44/19.07 APP(app(x,empty),x4) -> APP(empty,x4) 17.44/19.07 APP(singl(x),singl(y)) -> EQ(x,y) 17.44/19.07 APP(singl(x),singl(y)) -> IF(eq(x,y),singl(x),empty) 17.44/19.07 APP(x,app(plus(y,z),t)) -> APP(plus(app(x,y),app(x,z)),t) 17.44/19.07 APP(x,app(plus(y,z),t)) -> APP(x,y) 17.44/19.07 APP(x,app(plus(y,z),t)) -> APP(x,z) 17.44/19.07 APP(x,app(plus(y,z),t)) -> PLUS(app(x,y),app(x,z)) 17.44/19.07 APP(x,plus(y,z)) -> APP(x,y) 17.44/19.07 APP(x,plus(y,z)) -> APP(x,z) 17.44/19.07 APP(x,plus(y,z)) -> PLUS(app(x,y),app(x,z)) 17.44/19.07 EQ(s(x),s(y)) -> EQ(x,y) 17.44/19.07 PLUS(plus(empty,x),x4) -> PLUS(x,x4) 17.44/19.07 -> EAxioms: 17.44/19.07 app(app(x4,x5),x6) = app(x4,app(x5,x6)) 17.44/19.07 app(x4,x5) = app(x5,x4) 17.44/19.07 plus(plus(x4,x5),x6) = plus(x4,plus(x5,x6)) 17.44/19.07 plus(x4,x5) = plus(x5,x4) 17.44/19.07 -> Rules: 17.44/19.07 app(singl(x),singl(y)) -> if(eq(x,y),singl(x),empty) 17.44/19.07 app(x,app(plus(y,z),t)) -> app(plus(app(x,y),app(x,z)),t) 17.44/19.07 app(x,app(empty,z)) -> app(empty,z) 17.44/19.07 app(x,plus(y,z)) -> plus(app(x,y),app(x,z)) 17.44/19.07 app(x,empty) -> empty 17.44/19.07 eq(0,0) -> true 17.44/19.07 eq(0,s(x)) -> false 17.44/19.07 eq(s(x),s(y)) -> eq(x,y) 17.44/19.07 if(false,x,y) -> y 17.44/19.07 if(true,x,y) -> x 17.44/19.07 plus(empty,x) -> x 17.44/19.07 -> SRules: 17.44/19.07 APP(app(x4,x5),x6) -> APP(x4,x5) 17.44/19.07 APP(x4,app(x5,x6)) -> APP(x5,x6) 17.44/19.07 PLUS(plus(x4,x5),x6) -> PLUS(x4,x5) 17.44/19.07 PLUS(x4,plus(x5,x6)) -> PLUS(x5,x6) 17.44/19.07 17.44/19.07 Problem 1: 17.44/19.07 17.44/19.07 SCC Processor: 17.44/19.07 -> FAxioms: 17.44/19.07 APP(app(x4,x5),x6) = APP(x4,app(x5,x6)) 17.44/19.07 APP(x4,x5) = APP(x5,x4) 17.44/19.07 PLUS(plus(x4,x5),x6) = PLUS(x4,plus(x5,x6)) 17.44/19.07 PLUS(x4,x5) = PLUS(x5,x4) 17.44/19.07 -> Pairs: 17.44/19.07 APP(app(singl(x),singl(y)),x4) -> APP(if(eq(x,y),singl(x),empty),x4) 17.44/19.07 APP(app(singl(x),singl(y)),x4) -> EQ(x,y) 17.44/19.07 APP(app(singl(x),singl(y)),x4) -> IF(eq(x,y),singl(x),empty) 17.44/19.07 APP(app(x,app(plus(y,z),t)),x4) -> APP(app(plus(app(x,y),app(x,z)),t),x4) 17.44/19.07 APP(app(x,app(plus(y,z),t)),x4) -> APP(plus(app(x,y),app(x,z)),t) 17.44/19.07 APP(app(x,app(plus(y,z),t)),x4) -> APP(x,y) 17.44/19.07 APP(app(x,app(plus(y,z),t)),x4) -> APP(x,z) 17.44/19.07 APP(app(x,app(plus(y,z),t)),x4) -> PLUS(app(x,y),app(x,z)) 17.44/19.07 APP(app(x,app(empty,z)),x4) -> APP(app(empty,z),x4) 17.44/19.07 APP(app(x,plus(y,z)),x4) -> APP(plus(app(x,y),app(x,z)),x4) 17.44/19.07 APP(app(x,plus(y,z)),x4) -> APP(x,y) 17.44/19.07 APP(app(x,plus(y,z)),x4) -> APP(x,z) 17.44/19.07 APP(app(x,plus(y,z)),x4) -> PLUS(app(x,y),app(x,z)) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS_Equational 2019-03-21 05.09