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TRS Stand 20472 pair #381714030
details
property
value
status
complete
benchmark
wiehe06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n079.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
4.05631995201 seconds
cpu usage
14.291925992
max memory
8.34469888E8
stage attributes
key
value
output-size
25641
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) times(x,1()) -> x times(x,0()) -> 0() plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) plus(zero(),y) -> y plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) id(x) -> x if(true(),x,y) -> x if(false(),x,y) -> y not(x) -> if(x,false(),true()) gt(s(x),zero()) -> true() gt(zero(),y) -> false() gt(s(x),s(y)) -> gt(x,y) Proof: DP Processor: DPs: times#(x,plus(y,1())) -> times#(1(),0()) times#(x,plus(y,1())) -> plus#(y,times(1(),0())) times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) times#(x,plus(y,1())) -> plus#(times(x,plus(y,times(1(),0()))),x) plus#(s(x),s(y)) -> id#(y) plus#(s(x),s(y)) -> id#(x) plus#(s(x),s(y)) -> not#(gt(x,y)) plus#(s(x),s(y)) -> if#(not(gt(x,y)),id(x),id(y)) plus#(s(x),s(y)) -> gt#(x,y) plus#(s(x),s(y)) -> if#(gt(x,y),x,y) plus#(s(x),s(y)) -> plus#(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))) plus#(s(x),x) -> id#(x) plus#(s(x),x) -> gt#(x,x) plus#(s(x),x) -> if#(gt(x,x),id(x),id(x)) plus#(s(x),x) -> plus#(if(gt(x,x),id(x),id(x)),s(x)) plus#(id(x),s(y)) -> gt#(s(y),y) plus#(id(x),s(y)) -> if#(gt(s(y),y),y,s(y)) plus#(id(x),s(y)) -> plus#(x,if(gt(s(y),y),y,s(y))) not#(x) -> if#(x,false(),true()) gt#(s(x),s(y)) -> gt#(x,y) TRS: times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) times(x,1()) -> x times(x,0()) -> 0() plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) plus(zero(),y) -> y plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) id(x) -> x if(true(),x,y) -> x if(false(),x,y) -> y not(x) -> if(x,false(),true()) gt(s(x),zero()) -> true() gt(zero(),y) -> false() gt(s(x),s(y)) -> gt(x,y) TDG Processor: DPs: times#(x,plus(y,1())) -> times#(1(),0()) times#(x,plus(y,1())) -> plus#(y,times(1(),0())) times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) times#(x,plus(y,1())) -> plus#(times(x,plus(y,times(1(),0()))),x) plus#(s(x),s(y)) -> id#(y) plus#(s(x),s(y)) -> id#(x) plus#(s(x),s(y)) -> not#(gt(x,y)) plus#(s(x),s(y)) -> if#(not(gt(x,y)),id(x),id(y)) plus#(s(x),s(y)) -> gt#(x,y) plus#(s(x),s(y)) -> if#(gt(x,y),x,y) plus#(s(x),s(y)) -> plus#(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))) plus#(s(x),x) -> id#(x) plus#(s(x),x) -> gt#(x,x) plus#(s(x),x) -> if#(gt(x,x),id(x),id(x)) plus#(s(x),x) -> plus#(if(gt(x,x),id(x),id(x)),s(x)) plus#(id(x),s(y)) -> gt#(s(y),y) plus#(id(x),s(y)) -> if#(gt(s(y),y),y,s(y)) plus#(id(x),s(y)) -> plus#(x,if(gt(s(y),y),y,s(y))) not#(x) -> if#(x,false(),true()) gt#(s(x),s(y)) -> gt#(x,y) TRS: times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) times(x,1()) -> x times(x,0()) -> 0() plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) plus(zero(),y) -> y plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) id(x) -> x if(true(),x,y) -> x if(false(),x,y) -> y not(x) -> if(x,false(),true()) gt(s(x),zero()) -> true() gt(zero(),y) -> false() gt(s(x),s(y)) -> gt(x,y) graph:
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