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TRS Standard pair #516961224
details
property
value
status
complete
benchmark
Ex5_Zan97_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n026.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
2.77786588669 seconds
cpu usage
9.463692073
max memory
3.80178432E8
stage attributes
key
value
output-size
41694
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: active(f(X)) -> mark(if(X,c(),f(true()))) active(if(true(),X,Y)) -> mark(X) active(if(false(),X,Y)) -> mark(Y) active(f(X)) -> f(active(X)) active(if(X1,X2,X3)) -> if(active(X1),X2,X3) active(if(X1,X2,X3)) -> if(X1,active(X2),X3) f(mark(X)) -> mark(f(X)) if(mark(X1),X2,X3) -> mark(if(X1,X2,X3)) if(X1,mark(X2),X3) -> mark(if(X1,X2,X3)) proper(f(X)) -> f(proper(X)) proper(if(X1,X2,X3)) -> if(proper(X1),proper(X2),proper(X3)) proper(c()) -> ok(c()) proper(true()) -> ok(true()) proper(false()) -> ok(false()) f(ok(X)) -> ok(f(X)) if(ok(X1),ok(X2),ok(X3)) -> ok(if(X1,X2,X3)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 1] [1 0 0] [if](x0, x1, x2) = [0 1 0]x0 + [0 1 0]x1 + [0 1 1]x2 [0 0 0] [0 0 0] [0 0 0] , [1 1 1] [ok](x0) = [0 0 0]x0 [0 0 0] , [1 1 0] [0] [active](x0) = [0 1 0]x0 + [1] [0 0 0] [0], [0] [true] = [0] [0], [1 0 1] [mark](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [f](x0) = [0 1 1]x0 [0 0 0] , [1 0 0] [proper](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [top](x0) = [0 0 0]x0 [0 0 0] , [1] [false] = [0] [0], [0] [c] = [0] [0] orientation: [1 1 1] [0] [1 0 0] active(f(X)) = [0 1 1]X + [1] >= [0 0 0]X = mark(if(X,c(),f(true()))) [0 0 0] [0] [0 0 0] [1 1 1] [1 1 1] [0] [1 0 1] active(if(true(),X,Y)) = [0 1 0]X + [0 1 1]Y + [1] >= [0 0 0]X = mark(X) [0 0 0] [0 0 0] [0] [0 0 0] [1 1 1] [1 1 1] [1] [1 0 1] active(if(false(),X,Y)) = [0 1 0]X + [0 1 1]Y + [1] >= [0 0 0]Y = mark(Y) [0 0 0] [0 0 0] [0] [0 0 0] [1 1 1] [0] [1 1 0] [0] active(f(X)) = [0 1 1]X + [1] >= [0 1 0]X + [1] = f(active(X)) [0 0 0] [0] [0 0 0] [0] [1 1 0] [1 1 1] [1 1 1] [0] [1 1 0] [1 0 1] [1 0 0] [0] active(if(X1,X2,X3)) = [0 1 0]X1 + [0 1 0]X2 + [0 1 1]X3 + [1] >= [0 1 0]X1 + [0 1 0]X2 + [0 1 1]X3 + [1] = if(active(X1),X2,X3) [0 0 0] [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0 0 0] [0] [1 1 0] [1 1 1] [1 1 1] [0] [1 0 0] [1 1 0] [1 0 0] [0] active(if(X1,X2,X3)) = [0 1 0]X1 + [0 1 0]X2 + [0 1 1]X3 + [1] >= [0 1 0]X1 + [0 1 0]X2 + [0 1 1]X3 + [1] = if(X1,active(X2),X3) [0 0 0] [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0 0 0] [0] [1 0 1] [1 0 0] f(mark(X)) = [0 0 0]X >= [0 0 0]X = mark(f(X)) [0 0 0] [0 0 0]
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