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TRS Stand 20472 pair #381713527
details
property
value
status
complete
benchmark
Ex6_11.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n092.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.64910197258 seconds
cpu usage
1.289187109
max memory
1.73367296E8
stage attributes
key
value
output-size
4397
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: app(app(F(),app(app(F(),f),x)),x) -> app(app(F(),app(G(),app(app(F(),f),x))),app(f,x)) Proof: Extended Uncurrying Processor: application symbol: app symbol table: G ==> G0/0 G1/1 F ==> F0/0 F1/1 F2/2 uncurry-rules: app(F1(x2),x3) -> F2(x2,x3) app(F0(),x2) -> F1(x2) app(G0(),x5) -> G1(x5) eta-rules: problem: F2(F2(f,x),x) -> F2(G1(F2(f,x)),app(f,x)) app(F1(x2),x3) -> F2(x2,x3) app(F0(),x2) -> F1(x2) app(G0(),x5) -> G1(x5) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [G1](x0) = [0 0 1]x0 [0 0 0] , [0] [G0] = [0] [1], [1 0 1] [1 0 0] [0] [F2](x0, x1) = [1 1 0]x0 + [0 0 0]x1 + [1] [1 1 0] [0 0 0] [1], [1 0 0] [1] [F1](x0) = [0 0 1]x0 + [0] [1 1 0] [0], [0] [F0] = [0] [0], [1 1 0] [1 0 0] [1] [app](x0, x1) = [0 1 1]x0 + [0 0 1]x1 + [1] [0 0 1] [1 1 0] [1] orientation: [2 1 1] [2 0 0] [1] [2 1 1] [2 0 0] [1] F2(F2(f,x),x) = [2 1 1]f + [1 0 0]x + [2] >= [2 1 1]f + [1 0 0]x + [2] = F2(G1(F2(f,x)),app(f,x)) [2 1 1] [1 0 0] [2] [2 1 1] [1 0 0] [2] [1 0 1] [1 0 0] [2] [1 0 1] [1 0 0] [0] app(F1(x2),x3) = [1 1 1]x2 + [0 0 1]x3 + [1] >= [1 1 0]x2 + [0 0 0]x3 + [1] = F2(x2,x3) [1 1 0] [1 1 0] [1] [1 1 0] [0 0 0] [1] [1 0 0] [1] [1 0 0] [1] app(F0(),x2) = [0 0 1]x2 + [1] >= [0 0 1]x2 + [0] = F1(x2) [1 1 0] [1] [1 1 0] [0] [1 0 0] [1] [1 0 0] app(G0(),x5) = [0 0 1]x5 + [2] >= [0 0 1]x5 = G1(x5) [1 1 0] [2] [0 0 0] problem: F2(F2(f,x),x) -> F2(G1(F2(f,x)),app(f,x)) app(F0(),x2) -> F1(x2) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [G1](x0) = [0 0 0]x0 [1 0 0] , [1 1 0] [1 0 1] [0] [F2](x0, x1) = [1 1 0]x0 + [1 1 1]x1 + [1] [0 0 0] [0 1 0] [0], [1 0 1] [F1](x0) = [0 0 0]x0 [1 0 1] , [0] [F0] = [1] [0], [1 1 0] [1 0 1] [1] [app](x0, x1) = [0 0 0]x0 + [0 1 0]x1 + [0] [0 0 0] [1 0 1] [0] orientation: [2 2 0] [3 1 3] [1] [2 2 0] [3 1 3] [1] F2(F2(f,x),x) = [2 2 0]f + [3 2 3]x + [2] >= [2 2 0]f + [3 2 3]x + [2] = F2(G1(F2(f,x)),app(f,x)) [0 0 0] [0 1 0] [0] [0 0 0] [0 1 0] [0]
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