TSTP Solution File: LCL636+1.001 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : LCL636+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 09:37:25 EDT 2022
% Result : Theorem 2.19s 1.20s
% Output : Proof 3.01s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL636+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 00:20:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.50/0.59 ____ _
% 0.50/0.59 ___ / __ \_____(_)___ ________ __________
% 0.50/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.50/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.50/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.50/0.59
% 0.50/0.59 A Theorem Prover for First-Order Logic
% 0.50/0.59 (ePrincess v.1.0)
% 0.50/0.59
% 0.50/0.59 (c) Philipp Rümmer, 2009-2015
% 0.50/0.59 (c) Peter Backeman, 2014-2015
% 0.50/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.50/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.50/0.59 Bug reports to peter@backeman.se
% 0.50/0.59
% 0.50/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.50/0.59
% 0.50/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.64/0.96 Prover 0: Preprocessing ...
% 2.00/1.11 Prover 0: Constructing countermodel ...
% 2.19/1.19 Prover 0: proved (557ms)
% 2.19/1.20
% 2.19/1.20 No countermodel exists, formula is valid
% 2.19/1.20 % SZS status Theorem for theBenchmark
% 2.19/1.20
% 2.19/1.20 Generating proof ... found it (size 4)
% 3.01/1.39
% 3.01/1.39 % SZS output start Proof for theBenchmark
% 3.01/1.39 Assumed formulas after preprocessing and simplification:
% 3.01/1.39 | (0) ? [v0] : ? [v1] : ? [v2] : (p100(v0) & p101(v2) & p101(v1) & p2(v1) & r1(v0, v2) & r1(v0, v1) & ~ p101(v0) & ~ p102(v2) & ~ p102(v1) & ~ p102(v0) & ~ p2(v2) & ! [v3] : ! [v4] : ( ~ p1(v4) | ~ p100(v4) | ~ p100(v3) | ~ r1(v3, v4) | ~ r1(v0, v3) | p1(v3)) & ! [v3] : ! [v4] : ( ~ p1(v3) | ~ p100(v4) | ~ p100(v3) | ~ r1(v3, v4) | ~ r1(v0, v3) | p1(v4)) & ! [v3] : ! [v4] : ( ~ p101(v4) | ~ p101(v3) | ~ p2(v4) | ~ r1(v3, v4) | ~ r1(v0, v3) | p2(v3)) & ! [v3] : ! [v4] : ( ~ p101(v4) | ~ p101(v3) | ~ p2(v3) | ~ r1(v3, v4) | ~ r1(v0, v3) | p2(v4)) & ! [v3] : ( ~ p100(v3) | ~ r1(v0, v3) | p101(v3) | ? [v4] : (p101(v4) & p2(v4) & r1(v3, v4) & ~ p102(v4))) & ! [v3] : ( ~ p100(v3) | ~ r1(v0, v3) | p101(v3) | ? [v4] : (p101(v4) & r1(v3, v4) & ~ p102(v4) & ~ p2(v4))) & ! [v3] : ( ~ p101(v3) | ~ r1(v0, v3) | p100(v3)) & ! [v3] : ( ~ p102(v3) | ~ r1(v0, v3) | p101(v3)) & ! [v3] : ( ~ r1(v0, v3) | p2(v3)) & ( ~ p1(v0) | ! [v3] : ( ~ p100(v3) | ~ r1(v0, v3) | p1(v3))) & (p1(v0) | ! [v3] : ( ~ p1(v3) | ~ p100(v3) | ~ r1(v0, v3))))
% 3.01/1.40 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 3.01/1.40 | (1) p100(all_0_2_2) & p101(all_0_0_0) & p101(all_0_1_1) & p2(all_0_1_1) & r1(all_0_2_2, all_0_0_0) & r1(all_0_2_2, all_0_1_1) & ~ p101(all_0_2_2) & ~ p102(all_0_0_0) & ~ p102(all_0_1_1) & ~ p102(all_0_2_2) & ~ p2(all_0_0_0) & ! [v0] : ! [v1] : ( ~ p1(v1) | ~ p100(v1) | ~ p100(v0) | ~ r1(v0, v1) | ~ r1(all_0_2_2, v0) | p1(v0)) & ! [v0] : ! [v1] : ( ~ p1(v0) | ~ p100(v1) | ~ p100(v0) | ~ r1(v0, v1) | ~ r1(all_0_2_2, v0) | p1(v1)) & ! [v0] : ! [v1] : ( ~ p101(v1) | ~ p101(v0) | ~ p2(v1) | ~ r1(v0, v1) | ~ r1(all_0_2_2, v0) | p2(v0)) & ! [v0] : ! [v1] : ( ~ p101(v1) | ~ p101(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_0_2_2, v0) | p2(v1)) & ! [v0] : ( ~ p100(v0) | ~ r1(all_0_2_2, v0) | p101(v0) | ? [v1] : (p101(v1) & p2(v1) & r1(v0, v1) & ~ p102(v1))) & ! [v0] : ( ~ p100(v0) | ~ r1(all_0_2_2, v0) | p101(v0) | ? [v1] : (p101(v1) & r1(v0, v1) & ~ p102(v1) & ~ p2(v1))) & ! [v0] : ( ~ p101(v0) | ~ r1(all_0_2_2, v0) | p100(v0)) & ! [v0] : ( ~ p102(v0) | ~ r1(all_0_2_2, v0) | p101(v0)) & ! [v0] : ( ~ r1(all_0_2_2, v0) | p2(v0)) & ( ~ p1(all_0_2_2) | ! [v0] : ( ~ p100(v0) | ~ r1(all_0_2_2, v0) | p1(v0))) & (p1(all_0_2_2) | ! [v0] : ( ~ p1(v0) | ~ p100(v0) | ~ r1(all_0_2_2, v0)))
% 3.01/1.41 |
% 3.01/1.41 | Applying alpha-rule on (1) yields:
% 3.01/1.41 | (2) ~ p101(all_0_2_2)
% 3.01/1.41 | (3) p100(all_0_2_2)
% 3.01/1.41 | (4) ! [v0] : ! [v1] : ( ~ p1(v0) | ~ p100(v1) | ~ p100(v0) | ~ r1(v0, v1) | ~ r1(all_0_2_2, v0) | p1(v1))
% 3.01/1.41 | (5) ! [v0] : ( ~ p102(v0) | ~ r1(all_0_2_2, v0) | p101(v0))
% 3.01/1.41 | (6) ~ p102(all_0_1_1)
% 3.01/1.41 | (7) ! [v0] : ( ~ p100(v0) | ~ r1(all_0_2_2, v0) | p101(v0) | ? [v1] : (p101(v1) & r1(v0, v1) & ~ p102(v1) & ~ p2(v1)))
% 3.01/1.41 | (8) ! [v0] : ! [v1] : ( ~ p1(v1) | ~ p100(v1) | ~ p100(v0) | ~ r1(v0, v1) | ~ r1(all_0_2_2, v0) | p1(v0))
% 3.01/1.41 | (9) ! [v0] : ! [v1] : ( ~ p101(v1) | ~ p101(v0) | ~ p2(v0) | ~ r1(v0, v1) | ~ r1(all_0_2_2, v0) | p2(v1))
% 3.01/1.41 | (10) p2(all_0_1_1)
% 3.01/1.41 | (11) p1(all_0_2_2) | ! [v0] : ( ~ p1(v0) | ~ p100(v0) | ~ r1(all_0_2_2, v0))
% 3.01/1.41 | (12) ! [v0] : ( ~ p100(v0) | ~ r1(all_0_2_2, v0) | p101(v0) | ? [v1] : (p101(v1) & p2(v1) & r1(v0, v1) & ~ p102(v1)))
% 3.01/1.41 | (13) ~ p1(all_0_2_2) | ! [v0] : ( ~ p100(v0) | ~ r1(all_0_2_2, v0) | p1(v0))
% 3.01/1.41 | (14) ~ p102(all_0_0_0)
% 3.01/1.41 | (15) ~ p2(all_0_0_0)
% 3.01/1.41 | (16) p101(all_0_1_1)
% 3.01/1.41 | (17) ! [v0] : ( ~ r1(all_0_2_2, v0) | p2(v0))
% 3.01/1.41 | (18) ~ p102(all_0_2_2)
% 3.01/1.41 | (19) p101(all_0_0_0)
% 3.01/1.41 | (20) ! [v0] : ! [v1] : ( ~ p101(v1) | ~ p101(v0) | ~ p2(v1) | ~ r1(v0, v1) | ~ r1(all_0_2_2, v0) | p2(v0))
% 3.01/1.42 | (21) r1(all_0_2_2, all_0_0_0)
% 3.01/1.42 | (22) ! [v0] : ( ~ p101(v0) | ~ r1(all_0_2_2, v0) | p100(v0))
% 3.01/1.42 | (23) r1(all_0_2_2, all_0_1_1)
% 3.01/1.42 |
% 3.01/1.42 | Instantiating formula (17) with all_0_0_0 and discharging atoms r1(all_0_2_2, all_0_0_0), ~ p2(all_0_0_0), yields:
% 3.01/1.42 | (24) $false
% 3.01/1.42 |
% 3.01/1.42 |-The branch is then unsatisfiable
% 3.01/1.42 % SZS output end Proof for theBenchmark
% 3.01/1.42
% 3.01/1.42 821ms
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