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TRS Standard pair #516964611
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
n172.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.268558979034 seconds
cpu usage
0.201144451
max memory
4841472.0
stage attributes
key
value
output-size
16841
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES -(s(x:S),s(y:S)) -> -(x:S,y:S) -(x:S,0) -> x:S gcd(0,0,z:S) -> z:S gcd(0,y:S,0) -> y:S gcd(s(x:S),s(y:S),z:S) -> gcd(-(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y:S)),z:S) gcd(s(x:S),y:S,s(z:S)) -> gcd(-(max(x:S,z:S),min(x:S,z:S)),y:S,s(min(x:S,z:S))) gcd(x:S,0,0) -> x:S gcd(x:S,s(y:S),s(z:S)) -> gcd(x:S,-(max(y:S,z:S),min(y:S,z:S)),s(min(y:S,z:S))) max(0,y:S) -> y:S max(s(x:S),s(y:S)) -> s(max(x:S,y:S)) max(x:S,0) -> x:S min(0,y:S) -> 0 min(s(x:S),s(y:S)) -> s(min(x:S,y:S)) min(x:S,0) -> 0 ) Problem 1: Dependency Pairs Processor: -> Pairs: -#(s(x:S),s(y:S)) -> -#(x:S,y:S) GCD(s(x:S),s(y:S),z:S) -> -#(max(x:S,y:S),min(x:S,y:S)) GCD(s(x:S),s(y:S),z:S) -> GCD(-(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y:S)),z:S) GCD(s(x:S),s(y:S),z:S) -> MAX(x:S,y:S) GCD(s(x:S),s(y:S),z:S) -> MIN(x:S,y:S) GCD(s(x:S),y:S,s(z:S)) -> -#(max(x:S,z:S),min(x:S,z:S)) GCD(s(x:S),y:S,s(z:S)) -> GCD(-(max(x:S,z:S),min(x:S,z:S)),y:S,s(min(x:S,z:S))) GCD(s(x:S),y:S,s(z:S)) -> MAX(x:S,z:S) GCD(s(x:S),y:S,s(z:S)) -> MIN(x:S,z:S) GCD(x:S,s(y:S),s(z:S)) -> -#(max(y:S,z:S),min(y:S,z:S)) GCD(x:S,s(y:S),s(z:S)) -> GCD(x:S,-(max(y:S,z:S),min(y:S,z:S)),s(min(y:S,z:S))) GCD(x:S,s(y:S),s(z:S)) -> MAX(y:S,z:S) GCD(x:S,s(y:S),s(z:S)) -> MIN(y:S,z:S) MAX(s(x:S),s(y:S)) -> MAX(x:S,y:S) MIN(s(x:S),s(y:S)) -> MIN(x:S,y:S) -> Rules: -(s(x:S),s(y:S)) -> -(x:S,y:S) -(x:S,0) -> x:S gcd(0,0,z:S) -> z:S gcd(0,y:S,0) -> y:S gcd(s(x:S),s(y:S),z:S) -> gcd(-(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y:S)),z:S) gcd(s(x:S),y:S,s(z:S)) -> gcd(-(max(x:S,z:S),min(x:S,z:S)),y:S,s(min(x:S,z:S))) gcd(x:S,0,0) -> x:S gcd(x:S,s(y:S),s(z:S)) -> gcd(x:S,-(max(y:S,z:S),min(y:S,z:S)),s(min(y:S,z:S))) max(0,y:S) -> y:S max(s(x:S),s(y:S)) -> s(max(x:S,y:S)) max(x:S,0) -> x:S min(0,y:S) -> 0 min(s(x:S),s(y:S)) -> s(min(x:S,y:S)) min(x:S,0) -> 0 Problem 1: SCC Processor: -> Pairs: -#(s(x:S),s(y:S)) -> -#(x:S,y:S) GCD(s(x:S),s(y:S),z:S) -> -#(max(x:S,y:S),min(x:S,y:S)) GCD(s(x:S),s(y:S),z:S) -> GCD(-(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y:S)),z:S) GCD(s(x:S),s(y:S),z:S) -> MAX(x:S,y:S) GCD(s(x:S),s(y:S),z:S) -> MIN(x:S,y:S) GCD(s(x:S),y:S,s(z:S)) -> -#(max(x:S,z:S),min(x:S,z:S)) GCD(s(x:S),y:S,s(z:S)) -> GCD(-(max(x:S,z:S),min(x:S,z:S)),y:S,s(min(x:S,z:S))) GCD(s(x:S),y:S,s(z:S)) -> MAX(x:S,z:S) GCD(s(x:S),y:S,s(z:S)) -> MIN(x:S,z:S) GCD(x:S,s(y:S),s(z:S)) -> -#(max(y:S,z:S),min(y:S,z:S)) GCD(x:S,s(y:S),s(z:S)) -> GCD(x:S,-(max(y:S,z:S),min(y:S,z:S)),s(min(y:S,z:S))) GCD(x:S,s(y:S),s(z:S)) -> MAX(y:S,z:S) GCD(x:S,s(y:S),s(z:S)) -> MIN(y:S,z:S) MAX(s(x:S),s(y:S)) -> MAX(x:S,y:S) MIN(s(x:S),s(y:S)) -> MIN(x:S,y:S) -> Rules: -(s(x:S),s(y:S)) -> -(x:S,y:S) -(x:S,0) -> x:S gcd(0,0,z:S) -> z:S gcd(0,y:S,0) -> y:S gcd(s(x:S),s(y:S),z:S) -> gcd(-(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y:S)),z:S) gcd(s(x:S),y:S,s(z:S)) -> gcd(-(max(x:S,z:S),min(x:S,z:S)),y:S,s(min(x:S,z:S))) gcd(x:S,0,0) -> x:S gcd(x:S,s(y:S),s(z:S)) -> gcd(x:S,-(max(y:S,z:S),min(y:S,z:S)),s(min(y:S,z:S))) max(0,y:S) -> y:S max(s(x:S),s(y:S)) -> s(max(x:S,y:S)) max(x:S,0) -> x:S min(0,y:S) -> 0 min(s(x:S),s(y:S)) -> s(min(x:S,y:S)) min(x:S,0) -> 0 ->Strongly Connected Components: ->->Cycle: ->->-> Pairs:
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