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TRS Equat 89423 pair #381732823
details
property
value
status
complete
benchmark
AC23.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n093.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
14.9423680305 seconds
cpu usage
12.903805318
max memory
1.9054592E7
stage attributes
key
value
output-size
148653
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x y z) (THEORY (AC plus times)) (RULES plus(zero(x),zero(y)) -> zero(plus(x,y)) plus(zero(x),un(y)) -> un(plus(x,y)) plus(un(x),un(y)) -> zero(plus(x,plus(y,un(S)))) plus(x,S) -> x times(x,times(zero(y),z)) -> times(zero(times(x,y)),z) times(x,times(S,z)) -> times(S,z) times(x,times(un(y),z)) -> times(plus(x,zero(times(x,y))),z) times(x,zero(y)) -> zero(times(x,y)) times(x,S) -> S times(x,un(y)) -> plus(x,zero(times(x,y))) zero(S) -> S ) Problem 1: Dependency Pairs Processor: -> FAxioms: PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) PLUS(x3,x4) = PLUS(x4,x3) TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) TIMES(x3,x4) = TIMES(x4,x3) -> Pairs: PLUS(plus(zero(x),zero(y)),x3) -> PLUS(zero(plus(x,y)),x3) PLUS(plus(zero(x),zero(y)),x3) -> PLUS(x,y) PLUS(plus(zero(x),zero(y)),x3) -> ZERO(plus(x,y)) PLUS(plus(zero(x),un(y)),x3) -> PLUS(un(plus(x,y)),x3) PLUS(plus(zero(x),un(y)),x3) -> PLUS(x,y) PLUS(plus(un(x),un(y)),x3) -> PLUS(zero(plus(x,plus(y,un(S)))),x3) PLUS(plus(un(x),un(y)),x3) -> PLUS(x,plus(y,un(S))) PLUS(plus(un(x),un(y)),x3) -> PLUS(y,un(S)) PLUS(plus(un(x),un(y)),x3) -> ZERO(plus(x,plus(y,un(S)))) PLUS(plus(x,S),x3) -> PLUS(x,x3) PLUS(zero(x),zero(y)) -> PLUS(x,y) PLUS(zero(x),zero(y)) -> ZERO(plus(x,y)) PLUS(zero(x),un(y)) -> PLUS(x,y) PLUS(un(x),un(y)) -> PLUS(x,plus(y,un(S))) PLUS(un(x),un(y)) -> PLUS(y,un(S)) PLUS(un(x),un(y)) -> ZERO(plus(x,plus(y,un(S)))) TIMES(times(x,times(zero(y),z)),x3) -> TIMES(times(zero(times(x,y)),z),x3) TIMES(times(x,times(zero(y),z)),x3) -> TIMES(zero(times(x,y)),z) TIMES(times(x,times(zero(y),z)),x3) -> TIMES(x,y) TIMES(times(x,times(zero(y),z)),x3) -> ZERO(times(x,y)) TIMES(times(x,times(S,z)),x3) -> TIMES(times(S,z),x3) TIMES(times(x,times(un(y),z)),x3) -> PLUS(x,zero(times(x,y))) TIMES(times(x,times(un(y),z)),x3) -> TIMES(plus(x,zero(times(x,y))),z) TIMES(times(x,times(un(y),z)),x3) -> TIMES(times(plus(x,zero(times(x,y))),z),x3) TIMES(times(x,times(un(y),z)),x3) -> TIMES(x,y) TIMES(times(x,times(un(y),z)),x3) -> ZERO(times(x,y)) TIMES(times(x,zero(y)),x3) -> TIMES(zero(times(x,y)),x3) TIMES(times(x,zero(y)),x3) -> TIMES(x,y) TIMES(times(x,zero(y)),x3) -> ZERO(times(x,y)) TIMES(times(x,S),x3) -> TIMES(S,x3) TIMES(times(x,un(y)),x3) -> PLUS(x,zero(times(x,y))) TIMES(times(x,un(y)),x3) -> TIMES(plus(x,zero(times(x,y))),x3) TIMES(times(x,un(y)),x3) -> TIMES(x,y) TIMES(times(x,un(y)),x3) -> ZERO(times(x,y)) TIMES(x,times(zero(y),z)) -> TIMES(zero(times(x,y)),z) TIMES(x,times(zero(y),z)) -> TIMES(x,y) TIMES(x,times(zero(y),z)) -> ZERO(times(x,y)) TIMES(x,times(un(y),z)) -> PLUS(x,zero(times(x,y))) TIMES(x,times(un(y),z)) -> TIMES(plus(x,zero(times(x,y))),z) TIMES(x,times(un(y),z)) -> TIMES(x,y) TIMES(x,times(un(y),z)) -> ZERO(times(x,y)) TIMES(x,zero(y)) -> TIMES(x,y) TIMES(x,zero(y)) -> ZERO(times(x,y)) TIMES(x,un(y)) -> PLUS(x,zero(times(x,y))) TIMES(x,un(y)) -> TIMES(x,y) TIMES(x,un(y)) -> ZERO(times(x,y)) -> EAxioms: plus(plus(x3,x4),x5) = plus(x3,plus(x4,x5)) plus(x3,x4) = plus(x4,x3) times(times(x3,x4),x5) = times(x3,times(x4,x5)) times(x3,x4) = times(x4,x3) -> Rules: plus(zero(x),zero(y)) -> zero(plus(x,y)) plus(zero(x),un(y)) -> un(plus(x,y)) plus(un(x),un(y)) -> zero(plus(x,plus(y,un(S)))) plus(x,S) -> x times(x,times(zero(y),z)) -> times(zero(times(x,y)),z) times(x,times(S,z)) -> times(S,z) times(x,times(un(y),z)) -> times(plus(x,zero(times(x,y))),z) times(x,zero(y)) -> zero(times(x,y)) times(x,S) -> S times(x,un(y)) -> plus(x,zero(times(x,y))) zero(S) -> S -> SRules:
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