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TRS Innermost pair #487524346
details
property
value
status
complete
benchmark
Ex26_Luc03b_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.273917913437 seconds
cpu usage
0.275041806
max memory
8306688.0
stage attributes
key
value
output-size
107739
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S N:S X:S X1:S X2:S Y:S Z:S) (RULES active(add(s(X:S),Y:S)) -> mark(s(add(X:S,Y:S))) active(add(0,X:S)) -> mark(X:S) active(add(X1:S,X2:S)) -> add(active(X1:S),X2:S) active(add(X1:S,X2:S)) -> add(X1:S,active(X2:S)) active(cons(X1:S,X2:S)) -> cons(active(X1:S),X2:S) active(dbl(s(X:S))) -> mark(s(s(dbl(X:S)))) active(dbl(0)) -> mark(0) active(dbl(X:S)) -> dbl(active(X:S)) active(first(s(X:S),cons(Y:S,Z:S))) -> mark(cons(Y:S,first(X:S,Z:S))) active(first(0,X:S)) -> mark(nil) active(first(X1:S,X2:S)) -> first(active(X1:S),X2:S) active(first(X1:S,X2:S)) -> first(X1:S,active(X2:S)) active(recip(X:S)) -> recip(active(X:S)) active(sqr(s(X:S))) -> mark(s(add(sqr(X:S),dbl(X:S)))) active(sqr(0)) -> mark(0) active(sqr(X:S)) -> sqr(active(X:S)) active(terms(N:S)) -> mark(cons(recip(sqr(N:S)),terms(s(N:S)))) active(terms(X:S)) -> terms(active(X:S)) add(mark(X1:S),X2:S) -> mark(add(X1:S,X2:S)) add(ok(X1:S),ok(X2:S)) -> ok(add(X1:S,X2:S)) add(X1:S,mark(X2:S)) -> mark(add(X1:S,X2:S)) cons(mark(X1:S),X2:S) -> mark(cons(X1:S,X2:S)) cons(ok(X1:S),ok(X2:S)) -> ok(cons(X1:S,X2:S)) dbl(mark(X:S)) -> mark(dbl(X:S)) dbl(ok(X:S)) -> ok(dbl(X:S)) first(mark(X1:S),X2:S) -> mark(first(X1:S,X2:S)) first(ok(X1:S),ok(X2:S)) -> ok(first(X1:S,X2:S)) first(X1:S,mark(X2:S)) -> mark(first(X1:S,X2:S)) proper(add(X1:S,X2:S)) -> add(proper(X1:S),proper(X2:S)) proper(cons(X1:S,X2:S)) -> cons(proper(X1:S),proper(X2:S)) proper(dbl(X:S)) -> dbl(proper(X:S)) proper(first(X1:S,X2:S)) -> first(proper(X1:S),proper(X2:S)) proper(recip(X:S)) -> recip(proper(X:S)) proper(s(X:S)) -> s(proper(X:S)) proper(sqr(X:S)) -> sqr(proper(X:S)) proper(terms(X:S)) -> terms(proper(X:S)) proper(0) -> ok(0) proper(nil) -> ok(nil) recip(mark(X:S)) -> mark(recip(X:S)) recip(ok(X:S)) -> ok(recip(X:S)) s(ok(X:S)) -> ok(s(X:S)) sqr(mark(X:S)) -> mark(sqr(X:S)) sqr(ok(X:S)) -> ok(sqr(X:S)) terms(mark(X:S)) -> mark(terms(X:S)) terms(ok(X:S)) -> ok(terms(X:S)) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(add(s(X:S),Y:S)) -> ADD(X:S,Y:S) ACTIVE(add(s(X:S),Y:S)) -> S(add(X:S,Y:S)) ACTIVE(add(X1:S,X2:S)) -> ACTIVE(X1:S) ACTIVE(add(X1:S,X2:S)) -> ACTIVE(X2:S) ACTIVE(add(X1:S,X2:S)) -> ADD(active(X1:S),X2:S) ACTIVE(add(X1:S,X2:S)) -> ADD(X1:S,active(X2:S)) ACTIVE(cons(X1:S,X2:S)) -> ACTIVE(X1:S) ACTIVE(cons(X1:S,X2:S)) -> CONS(active(X1:S),X2:S) ACTIVE(dbl(s(X:S))) -> DBL(X:S) ACTIVE(dbl(s(X:S))) -> S(dbl(X:S)) ACTIVE(dbl(s(X:S))) -> S(s(dbl(X:S))) ACTIVE(dbl(X:S)) -> ACTIVE(X:S) ACTIVE(dbl(X:S)) -> DBL(active(X:S)) ACTIVE(first(s(X:S),cons(Y:S,Z:S))) -> CONS(Y:S,first(X:S,Z:S)) ACTIVE(first(s(X:S),cons(Y:S,Z:S))) -> FIRST(X:S,Z:S) ACTIVE(first(X1:S,X2:S)) -> ACTIVE(X1:S) ACTIVE(first(X1:S,X2:S)) -> ACTIVE(X2:S) ACTIVE(first(X1:S,X2:S)) -> FIRST(active(X1:S),X2:S) ACTIVE(first(X1:S,X2:S)) -> FIRST(X1:S,active(X2:S)) ACTIVE(recip(X:S)) -> ACTIVE(X:S) ACTIVE(recip(X:S)) -> RECIP(active(X:S)) ACTIVE(sqr(s(X:S))) -> ADD(sqr(X:S),dbl(X:S)) ACTIVE(sqr(s(X:S))) -> DBL(X:S) ACTIVE(sqr(s(X:S))) -> S(add(sqr(X:S),dbl(X:S))) ACTIVE(sqr(s(X:S))) -> SQR(X:S) ACTIVE(sqr(X:S)) -> ACTIVE(X:S) ACTIVE(sqr(X:S)) -> SQR(active(X:S)) ACTIVE(terms(N:S)) -> CONS(recip(sqr(N:S)),terms(s(N:S))) ACTIVE(terms(N:S)) -> RECIP(sqr(N:S)) ACTIVE(terms(N:S)) -> S(N:S) ACTIVE(terms(N:S)) -> SQR(N:S) ACTIVE(terms(N:S)) -> TERMS(s(N:S)) ACTIVE(terms(X:S)) -> ACTIVE(X:S) ACTIVE(terms(X:S)) -> TERMS(active(X:S))
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