TSTP Solution File: SYN948+1 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : SYN948+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n009.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 05:06:02 EDT 2022
% Result : Theorem 1.38s 0.99s
% Output : Proof 1.82s
% 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 : SYN948+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 13:49:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.48/0.60 ____ _
% 0.48/0.60 ___ / __ \_____(_)___ ________ __________
% 0.48/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.48/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.48/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.48/0.60
% 0.48/0.60 A Theorem Prover for First-Order Logic
% 0.48/0.60 (ePrincess v.1.0)
% 0.48/0.60
% 0.48/0.60 (c) Philipp Rümmer, 2009-2015
% 0.48/0.60 (c) Peter Backeman, 2014-2015
% 0.48/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.48/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.48/0.60 Bug reports to peter@backeman.se
% 0.48/0.60
% 0.48/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.48/0.60
% 0.48/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.71/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.19/0.88 Prover 0: Preprocessing ...
% 1.19/0.91 Prover 0: Warning: ignoring some quantifiers
% 1.19/0.93 Prover 0: Constructing countermodel ...
% 1.38/0.98 Prover 0: proved (333ms)
% 1.38/0.99
% 1.38/0.99 No countermodel exists, formula is valid
% 1.38/0.99 % SZS status Theorem for theBenchmark
% 1.38/0.99
% 1.38/0.99 Generating proof ... Warning: ignoring some quantifiers
% 1.76/1.07 found it (size 5)
% 1.76/1.07
% 1.76/1.07 % SZS output start Proof for theBenchmark
% 1.76/1.07 Assumed formulas after preprocessing and simplification:
% 1.76/1.07 | (0) ! [v0] : ~ a(v0, v0) & ? [v0] : ? [v1] : (a(v1, v1) & a(v0, v1))
% 1.76/1.08 | Applying alpha-rule on (0) yields:
% 1.76/1.08 | (1) ! [v0] : ~ a(v0, v0)
% 1.82/1.08 | (2) ? [v0] : ? [v1] : (a(v1, v1) & a(v0, v1))
% 1.82/1.08 |
% 1.82/1.08 | Instantiating (2) with all_1_0_0, all_1_1_1 yields:
% 1.82/1.08 | (3) a(all_1_0_0, all_1_0_0) & a(all_1_1_1, all_1_0_0)
% 1.82/1.08 |
% 1.82/1.08 | Applying alpha-rule on (3) yields:
% 1.82/1.08 | (4) a(all_1_0_0, all_1_0_0)
% 1.82/1.08 | (5) a(all_1_1_1, all_1_0_0)
% 1.82/1.08 |
% 1.82/1.08 | Instantiating formula (1) with all_1_0_0 and discharging atoms a(all_1_0_0, all_1_0_0), yields:
% 1.82/1.08 | (6) $false
% 1.82/1.09 |
% 1.82/1.09 |-The branch is then unsatisfiable
% 1.82/1.09 % SZS output end Proof for theBenchmark
% 1.82/1.09
% 1.82/1.09 475ms
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