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TRS_Contextsensitive 2019-03-21 05.07 pair #429997074
details
property
value
status
complete
benchmark
csrdiv.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n014.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.213201 seconds
cpu usage
0.18493
user time
0.115571
system time
0.069359
max virtual memory
113176.0
max residence set size
5796.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.21 YES 0.00/0.21 0.00/0.21 Problem 1: 0.00/0.21 0.00/0.21 (VAR X Y) 0.00/0.21 (STRATEGY CONTEXTSENSITIVE 0.00/0.21 (div 1 2) 0.00/0.21 (gt 1 2) 0.00/0.21 (if 1) 0.00/0.21 (minus 1 2) 0.00/0.21 (p 1) 0.00/0.21 (0) 0.00/0.21 (false) 0.00/0.21 (s 1) 0.00/0.21 (true) 0.00/0.21 ) 0.00/0.21 (RULES 0.00/0.21 div(0,s(Y)) -> 0 0.00/0.21 div(s(X),s(Y)) -> s(div(minus(X,Y),s(Y))) 0.00/0.21 gt(0,Y) -> false 0.00/0.21 gt(s(X),0) -> true 0.00/0.21 gt(s(X),s(Y)) -> gt(X,Y) 0.00/0.21 if(false,X,Y) -> Y 0.00/0.21 if(true,X,Y) -> X 0.00/0.21 minus(X,Y) -> if(gt(Y,0),minus(p(X),p(Y)),X) 0.00/0.21 p(0) -> 0 0.00/0.21 p(s(X)) -> X 0.00/0.21 ) 0.00/0.21 0.00/0.21 Problem 1: 0.00/0.21 0.00/0.21 Innermost Equivalent Processor: 0.00/0.21 -> Rules: 0.00/0.21 div(0,s(Y)) -> 0 0.00/0.21 div(s(X),s(Y)) -> s(div(minus(X,Y),s(Y))) 0.00/0.21 gt(0,Y) -> false 0.00/0.21 gt(s(X),0) -> true 0.00/0.21 gt(s(X),s(Y)) -> gt(X,Y) 0.00/0.21 if(false,X,Y) -> Y 0.00/0.21 if(true,X,Y) -> X 0.00/0.21 minus(X,Y) -> if(gt(Y,0),minus(p(X),p(Y)),X) 0.00/0.21 p(0) -> 0 0.00/0.21 p(s(X)) -> X 0.00/0.21 -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. 0.00/0.21 0.00/0.21 0.00/0.21 Problem 1: 0.00/0.21 0.00/0.21 Dependency Pairs Processor: 0.00/0.21 -> Pairs: 0.00/0.21 DIV(s(X),s(Y)) -> DIV(minus(X,Y),s(Y)) 0.00/0.21 DIV(s(X),s(Y)) -> MINUS(X,Y) 0.00/0.21 GT(s(X),s(Y)) -> GT(X,Y) 0.00/0.21 IF(false,X,Y) -> Y 0.00/0.21 IF(true,X,Y) -> X 0.00/0.21 MINUS(X,Y) -> GT(Y,0) 0.00/0.21 MINUS(X,Y) -> IF(gt(Y,0),minus(p(X),p(Y)),X) 0.00/0.21 -> Rules: 0.00/0.21 div(0,s(Y)) -> 0 0.00/0.21 div(s(X),s(Y)) -> s(div(minus(X,Y),s(Y))) 0.00/0.21 gt(0,Y) -> false 0.00/0.21 gt(s(X),0) -> true 0.00/0.21 gt(s(X),s(Y)) -> gt(X,Y) 0.00/0.21 if(false,X,Y) -> Y 0.00/0.21 if(true,X,Y) -> X 0.00/0.21 minus(X,Y) -> if(gt(Y,0),minus(p(X),p(Y)),X) 0.00/0.21 p(0) -> 0 0.00/0.21 p(s(X)) -> X 0.00/0.21 -> Unhiding Rules: 0.00/0.21 minus(p(X),p(Y)) -> MINUS(p(X),p(Y)) 0.00/0.21 minus(p(X),p(Y)) -> P(X) 0.00/0.21 minus(p(X),p(Y)) -> P(Y) 0.00/0.21 0.00/0.21 Problem 1: 0.00/0.21 0.00/0.21 SCC Processor: 0.00/0.21 -> Pairs: 0.00/0.21 DIV(s(X),s(Y)) -> DIV(minus(X,Y),s(Y)) 0.00/0.21 DIV(s(X),s(Y)) -> MINUS(X,Y) 0.00/0.21 GT(s(X),s(Y)) -> GT(X,Y) 0.00/0.21 IF(false,X,Y) -> Y 0.00/0.21 IF(true,X,Y) -> X 0.00/0.21 MINUS(X,Y) -> GT(Y,0) 0.00/0.21 MINUS(X,Y) -> IF(gt(Y,0),minus(p(X),p(Y)),X) 0.00/0.21 -> Rules: 0.00/0.21 div(0,s(Y)) -> 0 0.00/0.21 div(s(X),s(Y)) -> s(div(minus(X,Y),s(Y))) 0.00/0.21 gt(0,Y) -> false 0.00/0.21 gt(s(X),0) -> true 0.00/0.21 gt(s(X),s(Y)) -> gt(X,Y) 0.00/0.21 if(false,X,Y) -> Y 0.00/0.21 if(true,X,Y) -> X 0.00/0.21 minus(X,Y) -> if(gt(Y,0),minus(p(X),p(Y)),X) 0.00/0.21 p(0) -> 0 0.00/0.21 p(s(X)) -> X 0.00/0.21 -> Unhiding rules: 0.00/0.21 minus(p(X),p(Y)) -> MINUS(p(X),p(Y)) 0.00/0.21 minus(p(X),p(Y)) -> P(X) 0.00/0.21 minus(p(X),p(Y)) -> P(Y) 0.00/0.21 ->Strongly Connected Components:
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