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TRS Innermost pair #487093180
details
property
value
status
complete
benchmark
Ex2_Luc03b_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.271543 seconds
cpu usage
0.27738
user time
0.215796
system time
0.061584
max virtual memory
113188.0
max residence set size
11772.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty: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(from(X:S)) -> from(active(X:S)) active(from(X:S)) -> mark(cons(X:S,from(s(X:S)))) active(fst(s(X:S),cons(Y:S,Z:S))) -> mark(cons(Y:S,fst(X:S,Z:S))) active(fst(0,Z:S)) -> mark(nil) active(fst(X1:S,X2:S)) -> fst(active(X1:S),X2:S) active(fst(X1:S,X2:S)) -> fst(X1:S,active(X2:S)) active(len(cons(X:S,Z:S))) -> mark(s(len(Z:S))) active(len(nil)) -> mark(0) active(len(X:S)) -> len(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)) from(mark(X:S)) -> mark(from(X:S)) from(ok(X:S)) -> ok(from(X:S)) fst(mark(X1:S),X2:S) -> mark(fst(X1:S,X2:S)) fst(ok(X1:S),ok(X2:S)) -> ok(fst(X1:S,X2:S)) fst(X1:S,mark(X2:S)) -> mark(fst(X1:S,X2:S)) len(mark(X:S)) -> mark(len(X:S)) len(ok(X:S)) -> ok(len(X: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(from(X:S)) -> from(proper(X:S)) proper(fst(X1:S,X2:S)) -> fst(proper(X1:S),proper(X2:S)) proper(len(X:S)) -> len(proper(X:S)) proper(s(X:S)) -> s(proper(X:S)) proper(0) -> ok(0) proper(nil) -> ok(nil) s(ok(X:S)) -> ok(s(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(from(X:S)) -> ACTIVE(X:S) ACTIVE(from(X:S)) -> CONS(X:S,from(s(X:S))) ACTIVE(from(X:S)) -> FROM(active(X:S)) ACTIVE(from(X:S)) -> FROM(s(X:S)) ACTIVE(from(X:S)) -> S(X:S) ACTIVE(fst(s(X:S),cons(Y:S,Z:S))) -> CONS(Y:S,fst(X:S,Z:S)) ACTIVE(fst(s(X:S),cons(Y:S,Z:S))) -> FST(X:S,Z:S) ACTIVE(fst(X1:S,X2:S)) -> ACTIVE(X1:S) ACTIVE(fst(X1:S,X2:S)) -> ACTIVE(X2:S) ACTIVE(fst(X1:S,X2:S)) -> FST(active(X1:S),X2:S) ACTIVE(fst(X1:S,X2:S)) -> FST(X1:S,active(X2:S)) ACTIVE(len(cons(X:S,Z:S))) -> LEN(Z:S) ACTIVE(len(cons(X:S,Z:S))) -> S(len(Z:S)) ACTIVE(len(X:S)) -> ACTIVE(X:S) ACTIVE(len(X:S)) -> LEN(active(X:S)) ADD(mark(X1:S),X2:S) -> ADD(X1:S,X2:S) ADD(ok(X1:S),ok(X2:S)) -> ADD(X1:S,X2:S) ADD(X1:S,mark(X2:S)) -> ADD(X1:S,X2:S) CONS(mark(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(ok(X1:S),ok(X2:S)) -> CONS(X1:S,X2:S) FROM(mark(X:S)) -> FROM(X:S) FROM(ok(X:S)) -> FROM(X:S) FST(mark(X1:S),X2:S) -> FST(X1:S,X2:S) FST(ok(X1:S),ok(X2:S)) -> FST(X1:S,X2:S) FST(X1:S,mark(X2:S)) -> FST(X1:S,X2:S) LEN(mark(X:S)) -> LEN(X:S) LEN(ok(X:S)) -> LEN(X:S) PROPER(add(X1:S,X2:S)) -> ADD(proper(X1:S),proper(X2:S)) PROPER(add(X1:S,X2:S)) -> PROPER(X1:S) PROPER(add(X1:S,X2:S)) -> PROPER(X2:S) PROPER(cons(X1:S,X2:S)) -> CONS(proper(X1:S),proper(X2:S)) PROPER(cons(X1:S,X2:S)) -> PROPER(X1:S) PROPER(cons(X1:S,X2:S)) -> PROPER(X2:S) PROPER(from(X:S)) -> FROM(proper(X:S)) PROPER(from(X:S)) -> PROPER(X:S) PROPER(fst(X1:S,X2:S)) -> FST(proper(X1:S),proper(X2:S)) PROPER(fst(X1:S,X2:S)) -> PROPER(X1:S) PROPER(fst(X1:S,X2:S)) -> PROPER(X2:S) PROPER(len(X:S)) -> LEN(proper(X:S)) PROPER(len(X:S)) -> PROPER(X:S) PROPER(s(X:S)) -> PROPER(X:S) PROPER(s(X:S)) -> S(proper(X:S))
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