details

property	value
status	complete
benchmark	IJCAR_18.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n053.star.cs.uiowa.edu
space	AProVE_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.09655189514 seconds
cpu usage	2.942239181
max memory	4.95669248E8

stage attributes

key	value
output-size	17242
starexec-result	"YES"

output

/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: plus(x,0()) -> x plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) times(0(),y) -> 0() times(s(0()),y) -> y times(s(x),y) -> plus(y,times(x,y)) div(0(),y) -> 0() div(x,y) -> quot(x,y,y) quot(0(),s(y),z) -> 0() quot(s(x),s(y),z) -> quot(x,y,z) quot(x,0(),s(z)) -> s(div(x,s(z))) div(div(x,y),z) -> div(x,times(y,z)) eq(0(),0()) -> true() eq(s(x),0()) -> false() eq(0(),s(y)) -> false() eq(s(x),s(y)) -> eq(x,y) divides(y,x) -> eq(x,times(div(x,y),y)) prime(s(s(x))) -> pr(s(s(x)),s(x)) pr(x,s(0())) -> true() pr(x,s(s(y))) -> if(divides(s(s(y)),x),x,s(y)) if(true(),x,y) -> false() if(false(),x,y) -> pr(x,y) Proof: DP Processor: DPs: plus#(s(x),y) -> plus#(x,y) times#(s(x),y) -> times#(x,y) times#(s(x),y) -> plus#(y,times(x,y)) div#(x,y) -> quot#(x,y,y) quot#(s(x),s(y),z) -> quot#(x,y,z) quot#(x,0(),s(z)) -> div#(x,s(z)) div#(div(x,y),z) -> times#(y,z) div#(div(x,y),z) -> div#(x,times(y,z)) eq#(s(x),s(y)) -> eq#(x,y) divides#(y,x) -> div#(x,y) divides#(y,x) -> times#(div(x,y),y) divides#(y,x) -> eq#(x,times(div(x,y),y)) prime#(s(s(x))) -> pr#(s(s(x)),s(x)) pr#(x,s(s(y))) -> divides#(s(s(y)),x) pr#(x,s(s(y))) -> if#(divides(s(s(y)),x),x,s(y)) if#(false(),x,y) -> pr#(x,y) TRS: plus(x,0()) -> x plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) times(0(),y) -> 0() times(s(0()),y) -> y times(s(x),y) -> plus(y,times(x,y)) div(0(),y) -> 0() div(x,y) -> quot(x,y,y) quot(0(),s(y),z) -> 0() quot(s(x),s(y),z) -> quot(x,y,z) quot(x,0(),s(z)) -> s(div(x,s(z))) div(div(x,y),z) -> div(x,times(y,z)) eq(0(),0()) -> true() eq(s(x),0()) -> false() eq(0(),s(y)) -> false() eq(s(x),s(y)) -> eq(x,y) divides(y,x) -> eq(x,times(div(x,y),y)) prime(s(s(x))) -> pr(s(s(x)),s(x)) pr(x,s(0())) -> true() pr(x,s(s(y))) -> if(divides(s(s(y)),x),x,s(y)) if(true(),x,y) -> false() if(false(),x,y) -> pr(x,y) TDG Processor: DPs: plus#(s(x),y) -> plus#(x,y) times#(s(x),y) -> times#(x,y) times#(s(x),y) -> plus#(y,times(x,y)) div#(x,y) -> quot#(x,y,y) quot#(s(x),s(y),z) -> quot#(x,y,z) quot#(x,0(),s(z)) -> div#(x,s(z)) div#(div(x,y),z) -> times#(y,z) div#(div(x,y),z) -> div#(x,times(y,z)) eq#(s(x),s(y)) -> eq#(x,y) divides#(y,x) -> div#(x,y) divides#(y,x) -> times#(div(x,y),y) divides#(y,x) -> eq#(x,times(div(x,y),y)) prime#(s(s(x))) -> pr#(s(s(x)),s(x)) pr#(x,s(s(y))) -> divides#(s(s(y)),x) pr#(x,s(s(y))) -> if#(divides(s(s(y)),x),x,s(y)) if#(false(),x,y) -> pr#(x,y) TRS: plus(x,0()) -> x plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) times(0(),y) -> 0() times(s(0()),y) -> y times(s(x),y) -> plus(y,times(x,y)) div(0(),y) -> 0() popout

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all output return to TRS Standard