details

property	value
status	complete
benchmark	2.35.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n172.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.498882055283 seconds
cpu usage	0.732811895
max memory	1.89190144E8

stage attributes

key	value
output-size	2640
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: and(x,false()) -> false() and(x,not(false())) -> x not(not(x)) -> x implies(false(),y) -> not(false()) implies(x,false()) -> not(x) implies(not(x),not(y)) -> implies(y,and(x,y)) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 0] [1] [and](x0, x1) = [0 1 0]x0 + [0 0 0]x1 + [0] [1 1 1] [0 0 0] [0], [1 1 1] [1 0 1] [0] [implies](x0, x1) = [0 1 0]x0 + [0 1 0]x1 + [1] [1 1 1] [0 0 1] [0], [1] [false] = [0] [0], [1 0 1] [0] [not](x0) = [0 1 0]x0 + [1] [1 1 1] [0] orientation: [1 0 0] [2] [1] and(x,false()) = [0 1 0]x + [0] >= [0] = false() [1 1 1] [0] [0] [1 0 0] [2] and(x,not(false())) = [0 1 0]x + [0] >= x = x [1 1 1] [0] [2 1 2] [0] not(not(x)) = [0 1 0]x + [2] >= x = x [2 2 2] [1] [1 0 1] [1] [1] implies(false(),y) = [0 1 0]y + [1] >= [1] = not(false()) [0 0 1] [1] [1] [1 1 1] [1] [1 0 1] [0] implies(x,false()) = [0 1 0]x + [1] >= [0 1 0]x + [1] = not(x) [1 1 1] [0] [1 1 1] [0] [2 2 2] [2 1 2] [1] [2 1 1] [2 1 1] [1] implies(not(x),not(y)) = [0 1 0]x + [0 1 0]y + [3] >= [0 1 0]x + [0 1 0]y + [1] = implies(y,and(x,y)) [2 2 2] [1 1 1] [1] [1 1 1] [1 1 1] [0] problem: not(not(x)) -> x implies(false(),y) -> not(false()) implies(not(x),not(y)) -> implies(y,and(x,y)) Matrix Interpretation Processor: dim=1 interpretation: [and](x0, x1) = 2x0 + 2x1, [implies](x0, x1) = 6x0 + 4x1 + 6, [false] = 0, [not](x0) = 4x0 + 1 orientation: not(not(x)) = 16x + 5 >= x = x implies(false(),y) = 4y + 6 >= 1 = not(false()) implies(not(x),not(y)) = 24x + 16y + 16 >= 8x + 14y + 6 = implies(y,and(x,y)) problem: Qed popout

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all output return to TRS Standard