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TRS Standard pair #487067467
details
property
value
status
complete
benchmark
#3.37.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.459548 seconds
cpu usage
0.790895
user time
0.575986
system time
0.214909
max virtual memory
96176.0
max residence set size
60448.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: not(true()) -> false() not(false()) -> true() evenodd(x,0()) -> not(evenodd(x,s(0()))) evenodd(0(),s(0())) -> false() evenodd(s(x),s(0())) -> evenodd(x,0()) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [1 1 0] [evenodd](x0, x1) = [0 0 0]x0 + [0 1 1]x1 [0 0 0] [0 0 0] , [1 1 0] [0] [not](x0) = [0 0 0]x0 + [1] [0 0 0] [0], [0] [0] = [1] [0], [1 0 0] [0] [s](x0) = [0 0 0]x0 + [0] [0 0 1] [1], [0] [true] = [1] [0], [0] [false] = [0] [0] orientation: [1] [0] not(true()) = [1] >= [0] = false() [0] [0] [0] [0] not(false()) = [1] >= [1] = true() [0] [0] [1 0 1] [1] [1 0 1] [1] evenodd(x,0()) = [0 0 0]x + [1] >= [0 0 0]x + [1] = not(evenodd(x,s(0()))) [0 0 0] [0] [0 0 0] [0] [0] [0] evenodd(0(),s(0())) = [1] >= [0] = false() [0] [0] [1 0 1] [1] [1 0 1] [1] evenodd(s(x),s(0())) = [0 0 0]x + [1] >= [0 0 0]x + [1] = evenodd(x,0()) [0 0 0] [0] [0 0 0] [0] problem: not(false()) -> true() evenodd(x,0()) -> not(evenodd(x,s(0()))) evenodd(0(),s(0())) -> false() evenodd(s(x),s(0())) -> evenodd(x,0()) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [1 0 0] [0] [evenodd](x0, x1) = [0 0 0]x0 + [0 1 0]x1 + [0] [0 0 0] [0 0 0] [1], [1 0 0] [not](x0) = [0 0 0]x0 [0 0 1] , [0] [0] = [0] [1], [1 1 0] [s](x0) = [0 0 1]x0 [0 0 1] , [0] [true] = [0] [0], [1] [false] = [0] [0] orientation: [1] [0] not(false()) = [0] >= [0] = true() [0] [0] [1 0 1] [0] [1 0 1] [0] evenodd(x,0()) = [0 0 0]x + [0] >= [0 0 0]x + [0] = not(evenodd(x,s(0()))) [0 0 0] [1] [0 0 0] [1] [1] [1] evenodd(0(),s(0())) = [1] >= [0] = false() [1] [0]
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