TSTP Solution File: SYN732+1 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : SYN732+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n007.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 : Thu Jul 21 05:04:47 EDT 2022
% Result : Theorem 1.36s 1.03s
% Output : Proof 1.67s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN732+1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 14:22:18 EDT 2022
% 0.11/0.34 % CPUTime :
% 0.48/0.58 ____ _
% 0.48/0.58 ___ / __ \_____(_)___ ________ __________
% 0.48/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.48/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.48/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.48/0.58
% 0.48/0.58 A Theorem Prover for First-Order Logic
% 0.48/0.58 (ePrincess v.1.0)
% 0.48/0.58
% 0.48/0.58 (c) Philipp Rümmer, 2009-2015
% 0.48/0.58 (c) Peter Backeman, 2014-2015
% 0.48/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.48/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.48/0.58 Bug reports to peter@backeman.se
% 0.48/0.58
% 0.48/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.48/0.58
% 0.48/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.69/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.13/0.89 Prover 0: Preprocessing ...
% 1.29/0.94 Prover 0: Warning: ignoring some quantifiers
% 1.29/0.96 Prover 0: Constructing countermodel ...
% 1.36/1.03 Prover 0: proved (393ms)
% 1.36/1.03
% 1.36/1.03 No countermodel exists, formula is valid
% 1.36/1.03 % SZS status Theorem for theBenchmark
% 1.36/1.03
% 1.36/1.03 Generating proof ... Warning: ignoring some quantifiers
% 1.67/1.10 found it (size 4)
% 1.67/1.10
% 1.67/1.10 % SZS output start Proof for theBenchmark
% 1.67/1.10 Assumed formulas after preprocessing and simplification:
% 1.67/1.10 | (0) ! [v0] : ! [v1] : ~ q(v1, v0) & ! [v0] : ! [v1] : ~ p(v0, v1) & ? [v0] : ? [v1] : (q(v1, v0) | ? [v2] : ~ p(v2, v0)) & ? [v0] : ? [v1] : p(v1, v0)
% 1.67/1.11 | Applying alpha-rule on (0) yields:
% 1.67/1.11 | (1) ! [v0] : ! [v1] : ~ q(v1, v0)
% 1.67/1.11 | (2) ! [v0] : ! [v1] : ~ p(v0, v1)
% 1.67/1.11 | (3) ? [v0] : ? [v1] : (q(v1, v0) | ? [v2] : ~ p(v2, v0))
% 1.67/1.11 | (4) ? [v0] : ? [v1] : p(v1, v0)
% 1.67/1.11 |
% 1.67/1.11 | Instantiating (4) with all_1_0_0, all_1_1_1 yields:
% 1.67/1.11 | (5) p(all_1_0_0, all_1_1_1)
% 1.67/1.11 |
% 1.67/1.11 | Instantiating formula (2) with all_1_1_1, all_1_0_0 and discharging atoms p(all_1_0_0, all_1_1_1), yields:
% 1.67/1.11 | (6) $false
% 1.67/1.11 |
% 1.67/1.12 |-The branch is then unsatisfiable
% 1.67/1.12 % SZS output end Proof for theBenchmark
% 1.67/1.12
% 1.67/1.12 524ms
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