Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Equat 89423 pair #381732826
details
property
value
status
complete
benchmark
AC18.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n058.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
8.53687787056 seconds
cpu usage
6.617520204
max memory
2.236416E7
stage attributes
key
value
output-size
169966
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 x y) (THEORY (AC plus times)) (RULES 0(S) -> S minus(x,y) -> plus(opp(y),x) opp(0(x)) -> 0(opp(x)) opp(1(x)) -> j(opp(x)) opp(S) -> S opp(j(x)) -> 1(opp(x)) plus(0(x),0(y)) -> 0(plus(x,y)) plus(0(x),1(y)) -> 1(plus(x,y)) plus(0(x),j(y)) -> j(plus(x,y)) plus(1(x),1(y)) -> j(plus(1(S),plus(x,y))) plus(1(x),j(y)) -> 0(plus(x,y)) plus(S,x) -> x plus(j(x),j(y)) -> 1(plus(j(S),plus(x,y))) times(0(x),y) -> 0(times(x,y)) times(1(x),y) -> plus(0(times(x,y)),y) times(S,x) -> S times(j(x),y) -> minus(0(times(x,y)),y) ) Problem 1: Dependency Pairs Processor: -> FAxioms: PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) PLUS(x2,x3) = PLUS(x3,x2) TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) TIMES(x2,x3) = TIMES(x3,x2) -> Pairs: MINUS(x,y) -> OPP(y) MINUS(x,y) -> PLUS(opp(y),x) OPP(0(x)) -> 0#(opp(x)) OPP(0(x)) -> OPP(x) OPP(1(x)) -> OPP(x) OPP(j(x)) -> OPP(x) PLUS(0(x),0(y)) -> 0#(plus(x,y)) PLUS(0(x),0(y)) -> PLUS(x,y) PLUS(0(x),1(y)) -> PLUS(x,y) PLUS(0(x),j(y)) -> PLUS(x,y) PLUS(plus(0(x),0(y)),x2) -> 0#(plus(x,y)) PLUS(plus(0(x),0(y)),x2) -> PLUS(0(plus(x,y)),x2) PLUS(plus(0(x),0(y)),x2) -> PLUS(x,y) PLUS(plus(0(x),1(y)),x2) -> PLUS(1(plus(x,y)),x2) PLUS(plus(0(x),1(y)),x2) -> PLUS(x,y) PLUS(plus(0(x),j(y)),x2) -> PLUS(j(plus(x,y)),x2) PLUS(plus(0(x),j(y)),x2) -> PLUS(x,y) PLUS(plus(1(x),1(y)),x2) -> PLUS(1(S),plus(x,y)) PLUS(plus(1(x),1(y)),x2) -> PLUS(j(plus(1(S),plus(x,y))),x2) PLUS(plus(1(x),1(y)),x2) -> PLUS(x,y) PLUS(plus(1(x),j(y)),x2) -> 0#(plus(x,y)) PLUS(plus(1(x),j(y)),x2) -> PLUS(0(plus(x,y)),x2) PLUS(plus(1(x),j(y)),x2) -> PLUS(x,y) PLUS(plus(S,x),x2) -> PLUS(x,x2) PLUS(plus(j(x),j(y)),x2) -> PLUS(1(plus(j(S),plus(x,y))),x2) PLUS(plus(j(x),j(y)),x2) -> PLUS(j(S),plus(x,y)) PLUS(plus(j(x),j(y)),x2) -> PLUS(x,y) PLUS(1(x),1(y)) -> PLUS(1(S),plus(x,y)) PLUS(1(x),1(y)) -> PLUS(x,y) PLUS(1(x),j(y)) -> 0#(plus(x,y)) PLUS(1(x),j(y)) -> PLUS(x,y) PLUS(j(x),j(y)) -> PLUS(j(S),plus(x,y)) PLUS(j(x),j(y)) -> PLUS(x,y) TIMES(0(x),y) -> 0#(times(x,y)) TIMES(0(x),y) -> TIMES(x,y) TIMES(times(0(x),y),x2) -> 0#(times(x,y)) TIMES(times(0(x),y),x2) -> TIMES(0(times(x,y)),x2) TIMES(times(0(x),y),x2) -> TIMES(x,y) TIMES(times(1(x),y),x2) -> 0#(times(x,y)) TIMES(times(1(x),y),x2) -> PLUS(0(times(x,y)),y) TIMES(times(1(x),y),x2) -> TIMES(plus(0(times(x,y)),y),x2) TIMES(times(1(x),y),x2) -> TIMES(x,y) TIMES(times(S,x),x2) -> TIMES(S,x2) TIMES(times(j(x),y),x2) -> 0#(times(x,y)) TIMES(times(j(x),y),x2) -> MINUS(0(times(x,y)),y) TIMES(times(j(x),y),x2) -> TIMES(minus(0(times(x,y)),y),x2) TIMES(times(j(x),y),x2) -> TIMES(x,y) TIMES(1(x),y) -> 0#(times(x,y)) TIMES(1(x),y) -> PLUS(0(times(x,y)),y) TIMES(1(x),y) -> TIMES(x,y) TIMES(j(x),y) -> 0#(times(x,y)) TIMES(j(x),y) -> MINUS(0(times(x,y)),y) TIMES(j(x),y) -> TIMES(x,y) -> EAxioms: plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) plus(x2,x3) = plus(x3,x2) times(times(x2,x3),x4) = times(x2,times(x3,x4)) times(x2,x3) = times(x3,x2)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Equat 89423