TSTP Solution File: SYN960+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN960+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n024.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 05:06:07 EDT 2022
% Result : Theorem 1.52s 1.04s
% Output : Proof 2.00s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN960+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jul 12 01:24:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.65/0.64 ____ _
% 0.65/0.64 ___ / __ \_____(_)___ ________ __________
% 0.65/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.65/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.65/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.65/0.64
% 0.65/0.64 A Theorem Prover for First-Order Logic
% 0.65/0.64 (ePrincess v.1.0)
% 0.65/0.64
% 0.65/0.64 (c) Philipp Rümmer, 2009-2015
% 0.65/0.64 (c) Peter Backeman, 2014-2015
% 0.65/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.65/0.64 Free software under GNU Lesser General Public License (LGPL).
% 0.65/0.64 Bug reports to peter@backeman.se
% 0.65/0.64
% 0.65/0.64 For more information, visit http://user.uu.se/~petba168/breu/
% 0.65/0.64
% 0.65/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.21/0.92 Prover 0: Preprocessing ...
% 1.38/0.98 Prover 0: Constructing countermodel ...
% 1.52/1.04 Prover 0: proved (348ms)
% 1.52/1.04
% 1.52/1.04 No countermodel exists, formula is valid
% 1.52/1.04 % SZS status Theorem for theBenchmark
% 1.52/1.04
% 1.52/1.04 Generating proof ... found it (size 8)
% 1.73/1.14
% 1.73/1.14 % SZS output start Proof for theBenchmark
% 1.73/1.14 Assumed formulas after preprocessing and simplification:
% 1.73/1.14 | (0) ? [v0] : ? [v1] : ((a(v1, v0) & ! [v2] : ! [v3] : ~ a(v2, v3)) | (a(v0, v1) & ! [v2] : ! [v3] : ~ a(v3, v2)))
% 1.73/1.15 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 1.73/1.15 | (1) (a(all_0_0_0, all_0_1_1) & ! [v0] : ! [v1] : ~ a(v0, v1)) | (a(all_0_1_1, all_0_0_0) & ! [v0] : ! [v1] : ~ a(v1, v0))
% 1.73/1.15 |
% 1.73/1.15 +-Applying beta-rule and splitting (1), into two cases.
% 1.73/1.15 |-Branch one:
% 1.73/1.15 | (2) a(all_0_0_0, all_0_1_1) & ! [v0] : ! [v1] : ~ a(v0, v1)
% 1.73/1.15 |
% 1.73/1.15 | Applying alpha-rule on (2) yields:
% 1.73/1.15 | (3) a(all_0_0_0, all_0_1_1)
% 1.73/1.15 | (4) ! [v0] : ! [v1] : ~ a(v0, v1)
% 1.73/1.15 |
% 1.73/1.15 | Instantiating formula (4) with all_0_1_1, all_0_0_0 and discharging atoms a(all_0_0_0, all_0_1_1), yields:
% 2.00/1.16 | (5) $false
% 2.00/1.16 |
% 2.00/1.16 |-The branch is then unsatisfiable
% 2.00/1.16 |-Branch two:
% 2.00/1.16 | (6) a(all_0_1_1, all_0_0_0) & ! [v0] : ! [v1] : ~ a(v1, v0)
% 2.00/1.16 |
% 2.00/1.16 | Applying alpha-rule on (6) yields:
% 2.00/1.16 | (7) a(all_0_1_1, all_0_0_0)
% 2.00/1.16 | (8) ! [v0] : ! [v1] : ~ a(v1, v0)
% 2.00/1.16 |
% 2.00/1.16 | Instantiating formula (8) with all_0_1_1, all_0_0_0 and discharging atoms a(all_0_1_1, all_0_0_0), yields:
% 2.00/1.16 | (5) $false
% 2.00/1.16 |
% 2.00/1.16 |-The branch is then unsatisfiable
% 2.00/1.16 % SZS output end Proof for theBenchmark
% 2.00/1.16
% 2.00/1.16 511ms
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