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TRS Standard pair #516961936
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
n082.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.219909906387 seconds
cpu usage
0.156418071
max memory
7254016.0
stage attributes
key
value
output-size
75352
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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)) ) 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)
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