details

property	value
status	complete
benchmark	Ex49_GM04_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n105.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	3.27345 seconds
cpu usage	3.26244
user time	3.14477
system time	0.117669
max virtual memory	730020.0
max residence set size	26484.0

stage attributes

key	value
starexec-result	YES

output

3.17/3.26 YES 3.17/3.26 3.17/3.26 Problem 1: 3.17/3.26 3.17/3.26 (VAR v_NonEmpty:S X:S X1:S X2:S X3:S Y:S) 3.17/3.26 (RULES 3.17/3.26 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)) 3.17/3.26 active(div(0,s(Y:S))) -> mark(0) 3.17/3.26 active(div(X1:S,X2:S)) -> div(active(X1:S),X2:S) 3.17/3.26 active(geq(s(X:S),s(Y:S))) -> mark(geq(X:S,Y:S)) 3.17/3.26 active(geq(0,s(Y:S))) -> mark(ffalse) 3.17/3.26 active(geq(X:S,0)) -> mark(ttrue) 3.17/3.26 active(if(ffalse,X:S,Y:S)) -> mark(Y:S) 3.17/3.26 active(if(ttrue,X:S,Y:S)) -> mark(X:S) 3.17/3.26 active(if(X1:S,X2:S,X3:S)) -> if(active(X1:S),X2:S,X3:S) 3.17/3.26 active(minus(s(X:S),s(Y:S))) -> mark(minus(X:S,Y:S)) 3.17/3.26 active(minus(0,Y:S)) -> mark(0) 3.17/3.26 active(s(X:S)) -> s(active(X:S)) 3.17/3.26 div(mark(X1:S),X2:S) -> mark(div(X1:S,X2:S)) 3.17/3.26 div(ok(X1:S),ok(X2:S)) -> ok(div(X1:S,X2:S)) 3.17/3.26 geq(ok(X1:S),ok(X2:S)) -> ok(geq(X1:S,X2:S)) 3.17/3.26 if(mark(X1:S),X2:S,X3:S) -> mark(if(X1:S,X2:S,X3:S)) 3.17/3.26 if(ok(X1:S),ok(X2:S),ok(X3:S)) -> ok(if(X1:S,X2:S,X3:S)) 3.17/3.26 minus(ok(X1:S),ok(X2:S)) -> ok(minus(X1:S,X2:S)) 3.17/3.26 proper(div(X1:S,X2:S)) -> div(proper(X1:S),proper(X2:S)) 3.17/3.26 proper(geq(X1:S,X2:S)) -> geq(proper(X1:S),proper(X2:S)) 3.17/3.26 proper(if(X1:S,X2:S,X3:S)) -> if(proper(X1:S),proper(X2:S),proper(X3:S)) 3.17/3.26 proper(minus(X1:S,X2:S)) -> minus(proper(X1:S),proper(X2:S)) 3.17/3.26 proper(s(X:S)) -> s(proper(X:S)) 3.17/3.26 proper(0) -> ok(0) 3.17/3.26 proper(ffalse) -> ok(ffalse) 3.17/3.26 proper(ttrue) -> ok(ttrue) 3.17/3.26 s(mark(X:S)) -> mark(s(X:S)) 3.17/3.26 s(ok(X:S)) -> ok(s(X:S)) 3.17/3.26 top(mark(X:S)) -> top(proper(X:S)) 3.17/3.26 top(ok(X:S)) -> top(active(X:S)) 3.17/3.26 ) 3.17/3.26 (STRATEGY INNERMOST) 3.17/3.26 3.17/3.26 Problem 1: 3.17/3.26 3.17/3.26 Dependency Pairs Processor: 3.17/3.26 -> Pairs: 3.17/3.26 ACTIVE(div(s(X:S),s(Y:S))) -> DIV(minus(X:S,Y:S),s(Y:S)) 3.17/3.26 ACTIVE(div(s(X:S),s(Y:S))) -> GEQ(X:S,Y:S) 3.17/3.26 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) 3.17/3.26 ACTIVE(div(s(X:S),s(Y:S))) -> MINUS(X:S,Y:S) 3.17/3.26 ACTIVE(div(s(X:S),s(Y:S))) -> S(div(minus(X:S,Y:S),s(Y:S))) 3.17/3.26 ACTIVE(div(X1:S,X2:S)) -> ACTIVE(X1:S) 3.17/3.26 ACTIVE(div(X1:S,X2:S)) -> DIV(active(X1:S),X2:S) 3.17/3.26 ACTIVE(geq(s(X:S),s(Y:S))) -> GEQ(X:S,Y:S) 3.17/3.26 ACTIVE(if(X1:S,X2:S,X3:S)) -> ACTIVE(X1:S) 3.17/3.26 ACTIVE(if(X1:S,X2:S,X3:S)) -> IF(active(X1:S),X2:S,X3:S) 3.17/3.26 ACTIVE(minus(s(X:S),s(Y:S))) -> MINUS(X:S,Y:S) 3.17/3.26 ACTIVE(s(X:S)) -> ACTIVE(X:S) 3.17/3.26 ACTIVE(s(X:S)) -> S(active(X:S)) 3.17/3.26 DIV(mark(X1:S),X2:S) -> DIV(X1:S,X2:S) 3.17/3.26 DIV(ok(X1:S),ok(X2:S)) -> DIV(X1:S,X2:S) 3.17/3.26 GEQ(ok(X1:S),ok(X2:S)) -> GEQ(X1:S,X2:S) 3.17/3.26 IF(mark(X1:S),X2:S,X3:S) -> IF(X1:S,X2:S,X3:S) 3.17/3.26 IF(ok(X1:S),ok(X2:S),ok(X3:S)) -> IF(X1:S,X2:S,X3:S) 3.17/3.26 MINUS(ok(X1:S),ok(X2:S)) -> MINUS(X1:S,X2:S) 3.17/3.26 PROPER(div(X1:S,X2:S)) -> DIV(proper(X1:S),proper(X2:S)) 3.17/3.26 PROPER(div(X1:S,X2:S)) -> PROPER(X1:S) 3.17/3.26 PROPER(div(X1:S,X2:S)) -> PROPER(X2:S) 3.17/3.26 PROPER(geq(X1:S,X2:S)) -> GEQ(proper(X1:S),proper(X2:S)) 3.17/3.26 PROPER(geq(X1:S,X2:S)) -> PROPER(X1:S) 3.17/3.26 PROPER(geq(X1:S,X2:S)) -> PROPER(X2:S) 3.17/3.26 PROPER(if(X1:S,X2:S,X3:S)) -> IF(proper(X1:S),proper(X2:S),proper(X3:S)) 3.17/3.26 PROPER(if(X1:S,X2:S,X3:S)) -> PROPER(X1:S) 3.17/3.26 PROPER(if(X1:S,X2:S,X3:S)) -> PROPER(X2:S) 3.17/3.26 PROPER(if(X1:S,X2:S,X3:S)) -> PROPER(X3:S) 3.17/3.26 PROPER(minus(X1:S,X2:S)) -> MINUS(proper(X1:S),proper(X2:S)) 3.17/3.26 PROPER(minus(X1:S,X2:S)) -> PROPER(X1:S) 3.17/3.26 PROPER(minus(X1:S,X2:S)) -> PROPER(X2:S) 3.17/3.26 PROPER(s(X:S)) -> PROPER(X:S) 3.17/3.26 PROPER(s(X:S)) -> S(proper(X:S)) 3.17/3.26 S(mark(X:S)) -> S(X:S) 3.17/3.26 S(ok(X:S)) -> S(X:S) 3.17/3.26 TOP(mark(X:S)) -> PROPER(X:S) 3.17/3.26 TOP(mark(X:S)) -> TOP(proper(X:S)) 3.17/3.26 TOP(ok(X:S)) -> ACTIVE(X:S) 3.17/3.26 TOP(ok(X:S)) -> TOP(active(X:S)) 3.17/3.26 -> Rules: 3.17/3.26 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)) 3.17/3.26 active(div(0,s(Y:S))) -> mark(0) 3.17/3.26 active(div(X1:S,X2:S)) -> div(active(X1:S),X2:S) 3.17/3.26 active(geq(s(X:S),s(Y:S))) -> mark(geq(X:S,Y:S)) 3.17/3.26 active(geq(0,s(Y:S))) -> mark(ffalse) 3.17/3.26 active(geq(X:S,0)) -> mark(ttrue) 3.17/3.26 active(if(ffalse,X:S,Y:S)) -> mark(Y:S) 3.17/3.26 active(if(ttrue,X:S,Y:S)) -> mark(X:S) 3.17/3.26 active(if(X1:S,X2:S,X3:S)) -> if(active(X1:S),X2:S,X3:S) 3.17/3.26 active(minus(s(X:S),s(Y:S))) -> mark(minus(X:S,Y:S)) 3.17/3.26 active(minus(0,Y:S)) -> mark(0) 3.17/3.26 active(s(X:S)) -> s(active(X:S)) 3.17/3.26 div(mark(X1:S),X2:S) -> mark(div(X1:S,X2:S)) 3.17/3.26 div(ok(X1:S),ok(X2:S)) -> ok(div(X1:S,X2:S)) 3.17/3.26 geq(ok(X1:S),ok(X2:S)) -> ok(geq(X1:S,X2:S)) 3.17/3.26 if(mark(X1:S),X2:S,X3:S) -> mark(if(X1:S,X2:S,X3:S)) popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS_Innermost 2019-03-28 22.12