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TRS Stand 20472 pair #381713299
details
property
value
status
complete
benchmark
gcd_triple.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n010.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
2.11634707451 seconds
cpu usage
6.779637684
max memory
7.32975104E8
stage attributes
key
value
output-size
14217
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: min(x,0()) -> 0() min(0(),y) -> 0() min(s(x),s(y)) -> s(min(x,y)) max(x,0()) -> x max(0(),y) -> y max(s(x),s(y)) -> s(max(x,y)) -(x,0()) -> x -(s(x),s(y)) -> -(x,y) gcd(s(x),s(y),z) -> gcd(-(max(x,y),min(x,y)),s(min(x,y)),z) gcd(x,s(y),s(z)) -> gcd(x,-(max(y,z),min(y,z)),s(min(y,z))) gcd(s(x),y,s(z)) -> gcd(-(max(x,z),min(x,z)),y,s(min(x,z))) gcd(x,0(),0()) -> x gcd(0(),y,0()) -> y gcd(0(),0(),z) -> z Proof: DP Processor: DPs: min#(s(x),s(y)) -> min#(x,y) max#(s(x),s(y)) -> max#(x,y) -#(s(x),s(y)) -> -#(x,y) gcd#(s(x),s(y),z) -> min#(x,y) gcd#(s(x),s(y),z) -> max#(x,y) gcd#(s(x),s(y),z) -> -#(max(x,y),min(x,y)) gcd#(s(x),s(y),z) -> gcd#(-(max(x,y),min(x,y)),s(min(x,y)),z) gcd#(x,s(y),s(z)) -> min#(y,z) gcd#(x,s(y),s(z)) -> max#(y,z) gcd#(x,s(y),s(z)) -> -#(max(y,z),min(y,z)) gcd#(x,s(y),s(z)) -> gcd#(x,-(max(y,z),min(y,z)),s(min(y,z))) gcd#(s(x),y,s(z)) -> min#(x,z) gcd#(s(x),y,s(z)) -> max#(x,z) gcd#(s(x),y,s(z)) -> -#(max(x,z),min(x,z)) gcd#(s(x),y,s(z)) -> gcd#(-(max(x,z),min(x,z)),y,s(min(x,z))) TRS: min(x,0()) -> 0() min(0(),y) -> 0() min(s(x),s(y)) -> s(min(x,y)) max(x,0()) -> x max(0(),y) -> y max(s(x),s(y)) -> s(max(x,y)) -(x,0()) -> x -(s(x),s(y)) -> -(x,y) gcd(s(x),s(y),z) -> gcd(-(max(x,y),min(x,y)),s(min(x,y)),z) gcd(x,s(y),s(z)) -> gcd(x,-(max(y,z),min(y,z)),s(min(y,z))) gcd(s(x),y,s(z)) -> gcd(-(max(x,z),min(x,z)),y,s(min(x,z))) gcd(x,0(),0()) -> x gcd(0(),y,0()) -> y gcd(0(),0(),z) -> z TDG Processor: DPs: min#(s(x),s(y)) -> min#(x,y) max#(s(x),s(y)) -> max#(x,y) -#(s(x),s(y)) -> -#(x,y) gcd#(s(x),s(y),z) -> min#(x,y) gcd#(s(x),s(y),z) -> max#(x,y) gcd#(s(x),s(y),z) -> -#(max(x,y),min(x,y)) gcd#(s(x),s(y),z) -> gcd#(-(max(x,y),min(x,y)),s(min(x,y)),z) gcd#(x,s(y),s(z)) -> min#(y,z) gcd#(x,s(y),s(z)) -> max#(y,z) gcd#(x,s(y),s(z)) -> -#(max(y,z),min(y,z)) gcd#(x,s(y),s(z)) -> gcd#(x,-(max(y,z),min(y,z)),s(min(y,z))) gcd#(s(x),y,s(z)) -> min#(x,z) gcd#(s(x),y,s(z)) -> max#(x,z) gcd#(s(x),y,s(z)) -> -#(max(x,z),min(x,z)) gcd#(s(x),y,s(z)) -> gcd#(-(max(x,z),min(x,z)),y,s(min(x,z))) TRS: min(x,0()) -> 0() min(0(),y) -> 0() min(s(x),s(y)) -> s(min(x,y)) max(x,0()) -> x max(0(),y) -> y max(s(x),s(y)) -> s(max(x,y)) -(x,0()) -> x -(s(x),s(y)) -> -(x,y) gcd(s(x),s(y),z) -> gcd(-(max(x,y),min(x,y)),s(min(x,y)),z) gcd(x,s(y),s(z)) -> gcd(x,-(max(y,z),min(y,z)),s(min(y,z))) gcd(s(x),y,s(z)) -> gcd(-(max(x,z),min(x,z)),y,s(min(x,z))) gcd(x,0(),0()) -> x gcd(0(),y,0()) -> y gcd(0(),0(),z) -> z graph: gcd#(s(x),s(y),z) -> gcd#(-(max(x,y),min(x,y)),s(min(x,y)),z) -> gcd#(s(x),y,s(z)) -> gcd#(-(max(x,z),min(x,z)),y,s(min(x,z))) gcd#(s(x),s(y),z) -> gcd#(-(max(x,y),min(x,y)),s(min(x,y)),z) -> gcd#(s(x),y,s(z)) -> -#(max(x,z),min(x,z)) gcd#(s(x),s(y),z) -> gcd#(-(max(x,y),min(x,y)),s(min(x,y)),z) -> gcd#(s(x),y,s(z)) -> max#(x,z) gcd#(s(x),s(y),z) -> gcd#(-(max(x,y),min(x,y)),s(min(x,y)),z) -> gcd#(s(x),y,s(z)) -> min#(x,z) gcd#(s(x),s(y),z) -> gcd#(-(max(x,y),min(x,y)),s(min(x,y)),z) -> gcd#(x,s(y),s(z)) -> gcd#(x,-(max(y,z),min(y,z)),s(min(y,z)))
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