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TRS Standard pair #516961221
details
property
value
status
complete
benchmark
Ex15_Luc98_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n010.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.256567001343 seconds
cpu usage
0.184173775
max memory
7294976.0
stage attributes
key
value
output-size
84088
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 X:S X1:S X2:S X3: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(and(ffalse,Y:S)) -> mark(ffalse) active(and(ttrue,X:S)) -> mark(X:S) active(and(X1:S,X2:S)) -> and(active(X1:S),X2: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(from(X:S)) -> mark(cons(X:S,from(s(X:S)))) active(if(ffalse,X:S,Y:S)) -> mark(Y:S) active(if(ttrue,X:S,Y:S)) -> mark(X:S) active(if(X1:S,X2:S,X3:S)) -> if(active(X1:S),X2:S,X3: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)) and(mark(X1:S),X2:S) -> mark(and(X1:S,X2:S)) and(ok(X1:S),ok(X2:S)) -> ok(and(X1:S,X2:S)) cons(ok(X1:S),ok(X2:S)) -> ok(cons(X1:S,X2: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)) from(ok(X:S)) -> ok(from(X:S)) if(mark(X1:S),X2:S,X3:S) -> mark(if(X1:S,X2:S,X3:S)) if(ok(X1:S),ok(X2:S),ok(X3:S)) -> ok(if(X1:S,X2:S,X3:S)) proper(add(X1:S,X2:S)) -> add(proper(X1:S),proper(X2:S)) proper(and(X1:S,X2:S)) -> and(proper(X1:S),proper(X2:S)) proper(cons(X1:S,X2:S)) -> cons(proper(X1:S),proper(X2:S)) proper(first(X1:S,X2:S)) -> first(proper(X1:S),proper(X2:S)) proper(from(X:S)) -> from(proper(X:S)) proper(if(X1:S,X2:S,X3:S)) -> if(proper(X1:S),proper(X2:S),proper(X3:S)) proper(s(X:S)) -> s(proper(X:S)) proper(0) -> ok(0) proper(ffalse) -> ok(ffalse) proper(nil) -> ok(nil) proper(ttrue) -> ok(ttrue) 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)) -> ADD(active(X1:S),X2:S) ACTIVE(and(X1:S,X2:S)) -> ACTIVE(X1:S) ACTIVE(and(X1:S,X2:S)) -> AND(active(X1:S),X2: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(from(X:S)) -> CONS(X:S,from(s(X:S))) ACTIVE(from(X:S)) -> FROM(s(X:S)) ACTIVE(from(X:S)) -> S(X:S) ACTIVE(if(X1:S,X2:S,X3:S)) -> ACTIVE(X1:S) ACTIVE(if(X1:S,X2:S,X3:S)) -> IF(active(X1:S),X2:S,X3:S) ADD(mark(X1:S),X2:S) -> ADD(X1:S,X2:S) ADD(ok(X1:S),ok(X2:S)) -> ADD(X1:S,X2:S) AND(mark(X1:S),X2:S) -> AND(X1:S,X2:S) AND(ok(X1:S),ok(X2:S)) -> AND(X1:S,X2:S) CONS(ok(X1:S),ok(X2:S)) -> CONS(X1:S,X2:S) FIRST(mark(X1:S),X2:S) -> FIRST(X1:S,X2:S) FIRST(ok(X1:S),ok(X2:S)) -> FIRST(X1:S,X2:S) FIRST(X1:S,mark(X2:S)) -> FIRST(X1:S,X2:S) FROM(ok(X:S)) -> FROM(X:S) IF(mark(X1:S),X2:S,X3:S) -> IF(X1:S,X2:S,X3:S) IF(ok(X1:S),ok(X2:S),ok(X3:S)) -> IF(X1:S,X2:S,X3: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(and(X1:S,X2:S)) -> AND(proper(X1:S),proper(X2:S)) PROPER(and(X1:S,X2:S)) -> PROPER(X1:S) PROPER(and(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(first(X1:S,X2:S)) -> FIRST(proper(X1:S),proper(X2:S)) PROPER(first(X1:S,X2:S)) -> PROPER(X1:S) PROPER(first(X1:S,X2:S)) -> PROPER(X2:S) PROPER(from(X:S)) -> FROM(proper(X:S)) PROPER(from(X:S)) -> PROPER(X:S) PROPER(if(X1:S,X2:S,X3:S)) -> IF(proper(X1:S),proper(X2:S),proper(X3:S))
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