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TRS Equat 89423 pair #381732776
details
property
value
status
complete
benchmark
AC21.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n006.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.186573982239 seconds
cpu usage
0.246163812
max memory
1.929216E7
stage attributes
key
value
output-size
7615
starexec-result
MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: AC symbols: plus times 1: 0(S()) -> S() 2: plus(S(),x) -> x 3: plus(0(x),0(y)) -> 0(plus(x,y)) 4: plus(0(x),1(y)) -> 1(plus(x,y)) 5: plus(0(x),j(y)) -> j(plus(x,y)) 6: plus(1(x),1(y)) -> j(plus(1(S()),plus(x,y))) 7: plus(j(x),j(y)) -> 1(plus(j(S()),plus(x,y))) 8: plus(1(x),j(y)) -> 0(plus(x,y)) 9: opp(S()) -> S() 10: opp(0(x)) -> 0(opp(x)) 11: opp(1(x)) -> j(opp(x)) 12: opp(j(x)) -> 1(opp(x)) 13: minus(x,y) -> plus(opp(y),x) 14: times(S(),x) -> S() 15: times(0(x),y) -> 0(times(x,y)) 16: times(1(x),y) -> plus(0(times(x,y)),y) 17: times(j(x),y) -> minus(0(times(x,y)),y) 18: sign(x) -> if_sign(x,S()) 19: if_sign(S(),x) -> x 20: if_sign(0(x),y) -> if_sign(x,y) 21: if_sign(1(x),y) -> if_sign(x,1(S())) 22: if_sign(j(x),y) -> if_sign(x,j(S())) 23: abs(x) -> if_abs(x,x,S()) 24: if_abs(0(x),y,z) -> if_abs(x,y,z) 25: if_abs(1(x),y,z) -> if_abs(x,y,1(S())) 26: if_abs(j(x),y,z) -> if_abs(x,y,j(S())) 27: if_abs(S(),x,S()) -> S() 28: if_abs(S(),x,1(S())) -> x 29: if_abs(S(),x,j(S())) -> opp(x) 30: min(x,y) -> if_min(minus(abs(y),abs(x)),x,y,S()) 31: min'(x,y) -> if_min(minus(abs(1(y)),abs(1(x))),x,y,S()) 32: min''(x,y) -> if_min(minus(abs(j(y)),abs(j(x))),x,y,S()) 33: if_min(0(x),y,z,u) -> if_min(x,y,z,u) 34: if_min(1(x),y,z,u) -> if_min(x,y,z,1(S())) 35: if_min(j(x),y,z,u) -> if_min(x,y,z,j(S())) 36: if_min(S(),x,y,S()) -> x 37: if_min(S(),x,y,1(S())) -> x 38: if_min(S(),x,y,j(S())) -> y Number of strict rules: 38 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #if_abs(S(),x,j(S())) -> #opp(x) #2: #if_min(j(x),y,z,u) -> #if_min(x,y,z,j(S())) #3: #plus(1(x),1(y)) -> #plus(1(S()),plus(x,y)) #4: #plus(1(x),1(y)) -> #plus(x,y) #5: #times(x,times(y,z)) ->= #times(times(x,y),z) #6: #times(x,times(y,z)) ->= #times(x,y) #7: #minus(x,y) -> #plus(opp(y),x) #8: #minus(x,y) -> #opp(y) #9: #opp(1(x)) -> #opp(x) #10: #if_abs(0(x),y,z) -> #if_abs(x,y,z) #11: #abs(x) -> #if_abs(x,x,S()) #12: #opp(j(x)) -> #opp(x) #13: #min'(x,y) -> #if_min(minus(abs(1(y)),abs(1(x))),x,y,S()) #14: #min'(x,y) -> #minus(abs(1(y)),abs(1(x))) #15: #min'(x,y) -> #abs(1(y)) #16: #min'(x,y) -> #abs(1(x)) #17: #min(x,y) -> #if_min(minus(abs(y),abs(x)),x,y,S()) #18: #min(x,y) -> #minus(abs(y),abs(x)) #19: #min(x,y) -> #abs(y) #20: #min(x,y) -> #abs(x) #21: #if_abs(1(x),y,z) -> #if_abs(x,y,1(S())) #22: #if_sign(0(x),y) -> #if_sign(x,y) #23: #plus(j(x),j(y)) -> #plus(j(S()),plus(x,y)) #24: #plus(j(x),j(y)) -> #plus(x,y) #25: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #26: #plus(x,plus(y,z)) ->= #plus(x,y) #27: #opp(0(x)) -> #0(opp(x)) #28: #opp(0(x)) -> #opp(x) #29: #if_min(0(x),y,z,u) -> #if_min(x,y,z,u) #30: #plus(0(x),j(y)) -> #plus(x,y) #31: #if_sign(j(x),y) -> #if_sign(x,j(S())) #32: #if_min(1(x),y,z,u) -> #if_min(x,y,z,1(S())) #33: #times(j(x),y) -> #minus(0(times(x,y)),y) #34: #times(j(x),y) -> #0(times(x,y)) #35: #times(j(x),y) -> #times(x,y) #36: #min''(x,y) -> #if_min(minus(abs(j(y)),abs(j(x))),x,y,S()) #37: #min''(x,y) -> #minus(abs(j(y)),abs(j(x))) #38: #min''(x,y) -> #abs(j(y)) #39: #min''(x,y) -> #abs(j(x)) #40: #if_abs(j(x),y,z) -> #if_abs(x,y,j(S())) #41: #if_sign(1(x),y) -> #if_sign(x,1(S())) #42: #times(1(x),y) -> #plus(0(times(x,y)),y) #43: #times(1(x),y) -> #0(times(x,y)) #44: #times(1(x),y) -> #times(x,y) #45: #plus(0(x),0(y)) -> #0(plus(x,y)) #46: #plus(0(x),0(y)) -> #plus(x,y) #47: #plus(1(x),j(y)) -> #0(plus(x,y)) #48: #plus(1(x),j(y)) -> #plus(x,y) #49: #times(0(x),y) -> #0(times(x,y))
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