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TRS_Equational 2019-03-21 05.09 pair #429997142
details
property
value
status
complete
benchmark
AC44.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n044.star.cs.uiowa.edu
space
Mixed_C
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.44059 seconds
cpu usage
0.313795
user time
0.184301
system time
0.129494
max virtual memory
113176.0
max residence set size
5164.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.41 YES 0.00/0.41 0.00/0.41 Problem 1: 0.00/0.41 0.00/0.41 (VAR x y) 0.00/0.41 (THEORY 0.00/0.41 (C gcd)) 0.00/0.41 (RULES 0.00/0.41 gcd(0,y) -> y 0.00/0.41 gcd(s(x),0) -> s(x) 0.00/0.41 gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) 0.00/0.41 if_gcd(false,s(x),s(y)) -> gcd(minus(y,x),s(x)) 0.00/0.41 if_gcd(true,s(x),s(y)) -> gcd(minus(x,y),s(y)) 0.00/0.41 if_minus(false,s(x),y) -> s(minus(x,y)) 0.00/0.41 if_minus(true,s(x),y) -> 0 0.00/0.41 le(0,y) -> true 0.00/0.41 le(s(x),0) -> false 0.00/0.41 le(s(x),s(y)) -> le(x,y) 0.00/0.41 minus(0,y) -> 0 0.00/0.41 minus(s(x),y) -> if_minus(le(s(x),y),s(x),y) 0.00/0.41 ) 0.00/0.41 0.00/0.41 Problem 1: 0.00/0.41 0.00/0.41 Dependency Pairs Processor: 0.00/0.41 -> FAxioms: 0.00/0.41 GCD(x2,x3) = GCD(x3,x2) 0.00/0.41 -> Pairs: 0.00/0.41 GCD(s(x),s(y)) -> IF_GCD(le(y,x),s(x),s(y)) 0.00/0.41 GCD(s(x),s(y)) -> LE(y,x) 0.00/0.41 IF_GCD(false,s(x),s(y)) -> GCD(minus(y,x),s(x)) 0.00/0.41 IF_GCD(false,s(x),s(y)) -> MINUS(y,x) 0.00/0.41 IF_GCD(true,s(x),s(y)) -> GCD(minus(x,y),s(y)) 0.00/0.41 IF_GCD(true,s(x),s(y)) -> MINUS(x,y) 0.00/0.41 IF_MINUS(false,s(x),y) -> MINUS(x,y) 0.00/0.41 LE(s(x),s(y)) -> LE(x,y) 0.00/0.41 MINUS(s(x),y) -> IF_MINUS(le(s(x),y),s(x),y) 0.00/0.41 MINUS(s(x),y) -> LE(s(x),y) 0.00/0.41 -> EAxioms: 0.00/0.41 gcd(x2,x3) = gcd(x3,x2) 0.00/0.41 -> Rules: 0.00/0.41 gcd(0,y) -> y 0.00/0.41 gcd(s(x),0) -> s(x) 0.00/0.41 gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) 0.00/0.41 if_gcd(false,s(x),s(y)) -> gcd(minus(y,x),s(x)) 0.00/0.41 if_gcd(true,s(x),s(y)) -> gcd(minus(x,y),s(y)) 0.00/0.41 if_minus(false,s(x),y) -> s(minus(x,y)) 0.00/0.41 if_minus(true,s(x),y) -> 0 0.00/0.41 le(0,y) -> true 0.00/0.41 le(s(x),0) -> false 0.00/0.41 le(s(x),s(y)) -> le(x,y) 0.00/0.41 minus(0,y) -> 0 0.00/0.41 minus(s(x),y) -> if_minus(le(s(x),y),s(x),y) 0.00/0.41 -> SRules: 0.00/0.41 Empty 0.00/0.41 0.00/0.41 Problem 1: 0.00/0.41 0.00/0.41 SCC Processor: 0.00/0.41 -> FAxioms: 0.00/0.41 GCD(x2,x3) = GCD(x3,x2) 0.00/0.41 -> Pairs: 0.00/0.41 GCD(s(x),s(y)) -> IF_GCD(le(y,x),s(x),s(y)) 0.00/0.41 GCD(s(x),s(y)) -> LE(y,x) 0.00/0.41 IF_GCD(false,s(x),s(y)) -> GCD(minus(y,x),s(x)) 0.00/0.41 IF_GCD(false,s(x),s(y)) -> MINUS(y,x) 0.00/0.41 IF_GCD(true,s(x),s(y)) -> GCD(minus(x,y),s(y)) 0.00/0.41 IF_GCD(true,s(x),s(y)) -> MINUS(x,y) 0.00/0.41 IF_MINUS(false,s(x),y) -> MINUS(x,y) 0.00/0.41 LE(s(x),s(y)) -> LE(x,y) 0.00/0.41 MINUS(s(x),y) -> IF_MINUS(le(s(x),y),s(x),y) 0.00/0.41 MINUS(s(x),y) -> LE(s(x),y) 0.00/0.41 -> EAxioms: 0.00/0.41 gcd(x2,x3) = gcd(x3,x2) 0.00/0.41 -> Rules: 0.00/0.41 gcd(0,y) -> y 0.00/0.41 gcd(s(x),0) -> s(x) 0.00/0.41 gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) 0.00/0.41 if_gcd(false,s(x),s(y)) -> gcd(minus(y,x),s(x)) 0.00/0.41 if_gcd(true,s(x),s(y)) -> gcd(minus(x,y),s(y)) 0.00/0.41 if_minus(false,s(x),y) -> s(minus(x,y)) 0.00/0.41 if_minus(true,s(x),y) -> 0 0.00/0.41 le(0,y) -> true 0.00/0.41 le(s(x),0) -> false 0.00/0.41 le(s(x),s(y)) -> le(x,y) 0.00/0.41 minus(0,y) -> 0 0.00/0.41 minus(s(x),y) -> if_minus(le(s(x),y),s(x),y) 0.00/0.41 -> SRules: 0.00/0.41 Empty 0.00/0.41 ->Strongly Connected Components: 0.00/0.41 ->->Cycle: 0.00/0.41 ->->-> Pairs: 0.00/0.41 LE(s(x),s(y)) -> LE(x,y) 0.00/0.41 -> FAxioms: 0.00/0.41 gcd(x2,x3) -> gcd(x3,x2) 0.00/0.41 -> EAxioms: 0.00/0.41 gcd(x2,x3) = gcd(x3,x2) 0.00/0.41 ->->-> Rules: 0.00/0.41 gcd(0,y) -> y 0.00/0.41 gcd(s(x),0) -> s(x)
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