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TRS Standard pair #516967791
details
property
value
status
complete
benchmark
boolean_rings.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n048.star.cs.uiowa.edu
space
CiME_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.105033159256 seconds
cpu usage
0.022302461
max memory
1859584.0
stage attributes
key
value
output-size
3738
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 and(xor(x:S,y:S),z:S) -> xor(and(x:S,z:S),and(y:S,z:S)) and(x:S,F) -> F and(x:S,T) -> x:S and(x:S,x:S) -> x:S equiv(x:S,y:S) -> xor(x:S,xor(y:S,T)) impl(x:S,y:S) -> xor(and(x:S,y:S),xor(x:S,T)) neg(x:S) -> xor(x:S,T) or(x:S,y:S) -> xor(and(x:S,y:S),xor(x:S,y:S)) xor(x:S,neg(x:S)) -> F xor(x:S,F) -> x:S xor(x:S,x:S) -> F ) Problem 1: Dependency Pairs Processor: -> Pairs: AND(xor(x:S,y:S),z:S) -> AND(x:S,z:S) AND(xor(x:S,y:S),z:S) -> AND(y:S,z:S) AND(xor(x:S,y:S),z:S) -> XOR(and(x:S,z:S),and(y:S,z:S)) EQUIV(x:S,y:S) -> XOR(x:S,xor(y:S,T)) EQUIV(x:S,y:S) -> XOR(y:S,T) IMPL(x:S,y:S) -> AND(x:S,y:S) IMPL(x:S,y:S) -> XOR(and(x:S,y:S),xor(x:S,T)) IMPL(x:S,y:S) -> XOR(x:S,T) NEG(x:S) -> XOR(x:S,T) OR(x:S,y:S) -> AND(x:S,y:S) OR(x:S,y:S) -> XOR(and(x:S,y:S),xor(x:S,y:S)) OR(x:S,y:S) -> XOR(x:S,y:S) -> Rules: and(xor(x:S,y:S),z:S) -> xor(and(x:S,z:S),and(y:S,z:S)) and(x:S,F) -> F and(x:S,T) -> x:S and(x:S,x:S) -> x:S equiv(x:S,y:S) -> xor(x:S,xor(y:S,T)) impl(x:S,y:S) -> xor(and(x:S,y:S),xor(x:S,T)) neg(x:S) -> xor(x:S,T) or(x:S,y:S) -> xor(and(x:S,y:S),xor(x:S,y:S)) xor(x:S,neg(x:S)) -> F xor(x:S,F) -> x:S xor(x:S,x:S) -> F Problem 1: SCC Processor: -> Pairs: AND(xor(x:S,y:S),z:S) -> AND(x:S,z:S) AND(xor(x:S,y:S),z:S) -> AND(y:S,z:S) AND(xor(x:S,y:S),z:S) -> XOR(and(x:S,z:S),and(y:S,z:S)) EQUIV(x:S,y:S) -> XOR(x:S,xor(y:S,T)) EQUIV(x:S,y:S) -> XOR(y:S,T) IMPL(x:S,y:S) -> AND(x:S,y:S) IMPL(x:S,y:S) -> XOR(and(x:S,y:S),xor(x:S,T)) IMPL(x:S,y:S) -> XOR(x:S,T) NEG(x:S) -> XOR(x:S,T) OR(x:S,y:S) -> AND(x:S,y:S) OR(x:S,y:S) -> XOR(and(x:S,y:S),xor(x:S,y:S)) OR(x:S,y:S) -> XOR(x:S,y:S) -> Rules: and(xor(x:S,y:S),z:S) -> xor(and(x:S,z:S),and(y:S,z:S)) and(x:S,F) -> F and(x:S,T) -> x:S and(x:S,x:S) -> x:S equiv(x:S,y:S) -> xor(x:S,xor(y:S,T)) impl(x:S,y:S) -> xor(and(x:S,y:S),xor(x:S,T)) neg(x:S) -> xor(x:S,T) or(x:S,y:S) -> xor(and(x:S,y:S),xor(x:S,y:S)) xor(x:S,neg(x:S)) -> F xor(x:S,F) -> x:S xor(x:S,x:S) -> F ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: AND(xor(x:S,y:S),z:S) -> AND(x:S,z:S) AND(xor(x:S,y:S),z:S) -> AND(y:S,z:S) ->->-> Rules: and(xor(x:S,y:S),z:S) -> xor(and(x:S,z:S),and(y:S,z:S)) and(x:S,F) -> F and(x:S,T) -> x:S and(x:S,x:S) -> x:S equiv(x:S,y:S) -> xor(x:S,xor(y:S,T)) impl(x:S,y:S) -> xor(and(x:S,y:S),xor(x:S,T)) neg(x:S) -> xor(x:S,T) or(x:S,y:S) -> xor(and(x:S,y:S),xor(x:S,y:S)) xor(x:S,neg(x:S)) -> F xor(x:S,F) -> x:S xor(x:S,x:S) -> F
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