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TRS_Innermost 2019-03-28 22.12 pair #432270891
details
property
value
status
complete
benchmark
Ex49_GM04_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n030.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.478133 seconds
cpu usage
0.470502
user time
0.386259
system time
0.084243
max virtual memory
113176.0
max residence set size
14172.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.46 YES 0.00/0.46 0.00/0.46 Problem 1: 0.00/0.46 0.00/0.46 (VAR v_NonEmpty:S X:S X1:S X2:S X3:S Y:S) 0.00/0.46 (RULES 0.00/0.46 active(div(s(X:S),s(Y:S))) -> mark(if(geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0)) 0.00/0.46 active(div(0,s(Y:S))) -> mark(0) 0.00/0.46 active(geq(s(X:S),s(Y:S))) -> mark(geq(X:S,Y:S)) 0.00/0.46 active(geq(0,s(Y:S))) -> mark(ffalse) 0.00/0.46 active(geq(X:S,0)) -> mark(ttrue) 0.00/0.46 active(if(ffalse,X:S,Y:S)) -> mark(Y:S) 0.00/0.46 active(if(ttrue,X:S,Y:S)) -> mark(X:S) 0.00/0.46 active(minus(s(X:S),s(Y:S))) -> mark(minus(X:S,Y:S)) 0.00/0.46 active(minus(0,Y:S)) -> mark(0) 0.00/0.46 div(active(X1:S),X2:S) -> div(X1:S,X2:S) 0.00/0.46 div(mark(X1:S),X2:S) -> div(X1:S,X2:S) 0.00/0.46 div(X1:S,active(X2:S)) -> div(X1:S,X2:S) 0.00/0.46 div(X1:S,mark(X2:S)) -> div(X1:S,X2:S) 0.00/0.46 geq(active(X1:S),X2:S) -> geq(X1:S,X2:S) 0.00/0.46 geq(mark(X1:S),X2:S) -> geq(X1:S,X2:S) 0.00/0.46 geq(X1:S,active(X2:S)) -> geq(X1:S,X2:S) 0.00/0.46 geq(X1:S,mark(X2:S)) -> geq(X1:S,X2:S) 0.00/0.46 if(active(X1:S),X2:S,X3:S) -> if(X1:S,X2:S,X3:S) 0.00/0.46 if(mark(X1:S),X2:S,X3:S) -> if(X1:S,X2:S,X3:S) 0.00/0.46 if(X1:S,active(X2:S),X3:S) -> if(X1:S,X2:S,X3:S) 0.00/0.46 if(X1:S,mark(X2:S),X3:S) -> if(X1:S,X2:S,X3:S) 0.00/0.46 if(X1:S,X2:S,active(X3:S)) -> if(X1:S,X2:S,X3:S) 0.00/0.46 if(X1:S,X2:S,mark(X3:S)) -> if(X1:S,X2:S,X3:S) 0.00/0.46 mark(div(X1:S,X2:S)) -> active(div(mark(X1:S),X2:S)) 0.00/0.46 mark(geq(X1:S,X2:S)) -> active(geq(X1:S,X2:S)) 0.00/0.46 mark(if(X1:S,X2:S,X3:S)) -> active(if(mark(X1:S),X2:S,X3:S)) 0.00/0.46 mark(minus(X1:S,X2:S)) -> active(minus(X1:S,X2:S)) 0.00/0.46 mark(s(X:S)) -> active(s(mark(X:S))) 0.00/0.46 mark(0) -> active(0) 0.00/0.46 mark(ffalse) -> active(ffalse) 0.00/0.46 mark(ttrue) -> active(ttrue) 0.00/0.46 minus(active(X1:S),X2:S) -> minus(X1:S,X2:S) 0.00/0.46 minus(mark(X1:S),X2:S) -> minus(X1:S,X2:S) 0.00/0.46 minus(X1:S,active(X2:S)) -> minus(X1:S,X2:S) 0.00/0.46 minus(X1:S,mark(X2:S)) -> minus(X1:S,X2:S) 0.00/0.46 s(active(X:S)) -> s(X:S) 0.00/0.46 s(mark(X:S)) -> s(X:S) 0.00/0.46 ) 0.00/0.46 (STRATEGY INNERMOST) 0.00/0.46 0.00/0.46 Problem 1: 0.00/0.46 0.00/0.46 Dependency Pairs Processor: 0.00/0.46 -> Pairs: 0.00/0.46 ACTIVE(div(s(X:S),s(Y:S))) -> DIV(minus(X:S,Y:S),s(Y:S)) 0.00/0.46 ACTIVE(div(s(X:S),s(Y:S))) -> GEQ(X:S,Y:S) 0.00/0.46 ACTIVE(div(s(X:S),s(Y:S))) -> IF(geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0) 0.00/0.46 ACTIVE(div(s(X:S),s(Y:S))) -> MARK(if(geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0)) 0.00/0.46 ACTIVE(div(s(X:S),s(Y:S))) -> MINUS(X:S,Y:S) 0.00/0.46 ACTIVE(div(s(X:S),s(Y:S))) -> S(div(minus(X:S,Y:S),s(Y:S))) 0.00/0.46 ACTIVE(div(0,s(Y:S))) -> MARK(0) 0.00/0.46 ACTIVE(geq(s(X:S),s(Y:S))) -> GEQ(X:S,Y:S) 0.00/0.46 ACTIVE(geq(s(X:S),s(Y:S))) -> MARK(geq(X:S,Y:S)) 0.00/0.46 ACTIVE(geq(0,s(Y:S))) -> MARK(ffalse) 0.00/0.46 ACTIVE(geq(X:S,0)) -> MARK(ttrue) 0.00/0.46 ACTIVE(if(ffalse,X:S,Y:S)) -> MARK(Y:S) 0.00/0.46 ACTIVE(if(ttrue,X:S,Y:S)) -> MARK(X:S) 0.00/0.46 ACTIVE(minus(s(X:S),s(Y:S))) -> MARK(minus(X:S,Y:S)) 0.00/0.46 ACTIVE(minus(s(X:S),s(Y:S))) -> MINUS(X:S,Y:S) 0.00/0.46 ACTIVE(minus(0,Y:S)) -> MARK(0) 0.00/0.46 DIV(active(X1:S),X2:S) -> DIV(X1:S,X2:S) 0.00/0.46 DIV(mark(X1:S),X2:S) -> DIV(X1:S,X2:S) 0.00/0.46 DIV(X1:S,active(X2:S)) -> DIV(X1:S,X2:S) 0.00/0.46 DIV(X1:S,mark(X2:S)) -> DIV(X1:S,X2:S) 0.00/0.46 GEQ(active(X1:S),X2:S) -> GEQ(X1:S,X2:S) 0.00/0.46 GEQ(mark(X1:S),X2:S) -> GEQ(X1:S,X2:S) 0.00/0.46 GEQ(X1:S,active(X2:S)) -> GEQ(X1:S,X2:S) 0.00/0.46 GEQ(X1:S,mark(X2:S)) -> GEQ(X1:S,X2:S) 0.00/0.46 IF(active(X1:S),X2:S,X3:S) -> IF(X1:S,X2:S,X3:S) 0.00/0.46 IF(mark(X1:S),X2:S,X3:S) -> IF(X1:S,X2:S,X3:S) 0.00/0.46 IF(X1:S,active(X2:S),X3:S) -> IF(X1:S,X2:S,X3:S) 0.00/0.46 IF(X1:S,mark(X2:S),X3:S) -> IF(X1:S,X2:S,X3:S) 0.00/0.46 IF(X1:S,X2:S,active(X3:S)) -> IF(X1:S,X2:S,X3:S) 0.00/0.46 IF(X1:S,X2:S,mark(X3:S)) -> IF(X1:S,X2:S,X3:S) 0.00/0.46 MARK(div(X1:S,X2:S)) -> ACTIVE(div(mark(X1:S),X2:S)) 0.00/0.46 MARK(div(X1:S,X2:S)) -> DIV(mark(X1:S),X2:S) 0.00/0.46 MARK(div(X1:S,X2:S)) -> MARK(X1:S) 0.00/0.46 MARK(geq(X1:S,X2:S)) -> ACTIVE(geq(X1:S,X2:S)) 0.00/0.46 MARK(if(X1:S,X2:S,X3:S)) -> ACTIVE(if(mark(X1:S),X2:S,X3:S)) 0.00/0.46 MARK(if(X1:S,X2:S,X3:S)) -> IF(mark(X1:S),X2:S,X3:S) 0.00/0.46 MARK(if(X1:S,X2:S,X3:S)) -> MARK(X1:S) 0.00/0.46 MARK(minus(X1:S,X2:S)) -> ACTIVE(minus(X1:S,X2:S)) 0.00/0.46 MARK(s(X:S)) -> ACTIVE(s(mark(X:S))) 0.00/0.46 MARK(s(X:S)) -> MARK(X:S) 0.00/0.46 MARK(s(X:S)) -> S(mark(X:S)) 0.00/0.46 MINUS(active(X1:S),X2:S) -> MINUS(X1:S,X2:S) 0.00/0.46 MINUS(mark(X1:S),X2:S) -> MINUS(X1:S,X2:S) 0.00/0.46 MINUS(X1:S,active(X2:S)) -> MINUS(X1:S,X2:S) 0.00/0.46 MINUS(X1:S,mark(X2:S)) -> MINUS(X1:S,X2:S) 0.00/0.46 S(active(X:S)) -> S(X:S) 0.00/0.46 S(mark(X:S)) -> S(X:S) 0.00/0.46 -> Rules: 0.00/0.46 active(div(s(X:S),s(Y:S))) -> mark(if(geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0)) 0.00/0.46 active(div(0,s(Y:S))) -> mark(0)
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