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TRS Stand 20472 pair #381712368
details
property
value
status
complete
benchmark
#4.23.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n082.star.cs.uiowa.edu
space
Strategy_removed_AG01
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.586148023605 seconds
cpu usage
1.050497461
max memory
1.46075648E8
stage attributes
key
value
output-size
3556
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: quot(0(),s(y),s(z)) -> 0() quot(s(x),s(y),z) -> quot(x,y,z) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) quot(x,0(),s(z)) -> s(quot(x,plus(z,s(0())),s(z))) Proof: DP Processor: DPs: quot#(s(x),s(y),z) -> quot#(x,y,z) plus#(s(x),y) -> plus#(x,y) quot#(x,0(),s(z)) -> plus#(z,s(0())) quot#(x,0(),s(z)) -> quot#(x,plus(z,s(0())),s(z)) TRS: quot(0(),s(y),s(z)) -> 0() quot(s(x),s(y),z) -> quot(x,y,z) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) quot(x,0(),s(z)) -> s(quot(x,plus(z,s(0())),s(z))) TDG Processor: DPs: quot#(s(x),s(y),z) -> quot#(x,y,z) plus#(s(x),y) -> plus#(x,y) quot#(x,0(),s(z)) -> plus#(z,s(0())) quot#(x,0(),s(z)) -> quot#(x,plus(z,s(0())),s(z)) TRS: quot(0(),s(y),s(z)) -> 0() quot(s(x),s(y),z) -> quot(x,y,z) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) quot(x,0(),s(z)) -> s(quot(x,plus(z,s(0())),s(z))) graph: plus#(s(x),y) -> plus#(x,y) -> plus#(s(x),y) -> plus#(x,y) quot#(s(x),s(y),z) -> quot#(x,y,z) -> quot#(x,0(),s(z)) -> quot#(x,plus(z,s(0())),s(z)) quot#(s(x),s(y),z) -> quot#(x,y,z) -> quot#(x,0(),s(z)) -> plus#(z,s(0())) quot#(s(x),s(y),z) -> quot#(x,y,z) -> quot#(s(x),s(y),z) -> quot#(x,y,z) quot#(x,0(),s(z)) -> plus#(z,s(0())) -> plus#(s(x),y) -> plus#(x,y) quot#(x,0(),s(z)) -> quot#(x,plus(z,s(0())),s(z)) -> quot#(x,0(),s(z)) -> quot#(x,plus(z,s(0())),s(z)) quot#(x,0(),s(z)) -> quot#(x,plus(z,s(0())),s(z)) -> quot#(x,0(),s(z)) -> plus#(z,s(0())) quot#(x,0(),s(z)) -> quot#(x,plus(z,s(0())),s(z)) -> quot#(s(x),s(y),z) -> quot#(x,y,z) SCC Processor: #sccs: 2 #rules: 3 #arcs: 8/16 DPs: quot#(s(x),s(y),z) -> quot#(x,y,z) quot#(x,0(),s(z)) -> quot#(x,plus(z,s(0())),s(z)) TRS: quot(0(),s(y),s(z)) -> 0() quot(s(x),s(y),z) -> quot(x,y,z) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) quot(x,0(),s(z)) -> s(quot(x,plus(z,s(0())),s(z))) Subterm Criterion Processor: simple projection: pi(quot#) = 0 problem: DPs: quot#(x,0(),s(z)) -> quot#(x,plus(z,s(0())),s(z)) TRS: quot(0(),s(y),s(z)) -> 0() quot(s(x),s(y),z) -> quot(x,y,z) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) quot(x,0(),s(z)) -> s(quot(x,plus(z,s(0())),s(z))) EDG Processor: DPs: quot#(x,0(),s(z)) -> quot#(x,plus(z,s(0())),s(z)) TRS: quot(0(),s(y),s(z)) -> 0() quot(s(x),s(y),z) -> quot(x,y,z) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) quot(x,0(),s(z)) -> s(quot(x,plus(z,s(0())),s(z))) graph: SCC Processor: #sccs: 0 #rules: 0 #arcs: 0/1 DPs: plus#(s(x),y) -> plus#(x,y) TRS:
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