TSTP Solution File: SYN949+1 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : SYN949+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n018.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 1.52s 1.08s
% Output : Proof 1.97s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN949+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.33 % Computer : n018.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Tue Jul 12 04:39:14 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.63/0.64 ____ _
% 0.63/0.64 ___ / __ \_____(_)___ ________ __________
% 0.63/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.63/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.63/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.63/0.64
% 0.63/0.64 A Theorem Prover for First-Order Logic
% 0.63/0.64 (ePrincess v.1.0)
% 0.63/0.64
% 0.63/0.64 (c) Philipp Rümmer, 2009-2015
% 0.63/0.64 (c) Peter Backeman, 2014-2015
% 0.63/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.63/0.64 Free software under GNU Lesser General Public License (LGPL).
% 0.63/0.64 Bug reports to peter@backeman.se
% 0.63/0.64
% 0.63/0.64 For more information, visit http://user.uu.se/~petba168/breu/
% 0.63/0.64
% 0.63/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.73/0.70 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.26/0.95 Prover 0: Preprocessing ...
% 1.39/1.02 Prover 0: Constructing countermodel ...
% 1.52/1.08 Prover 0: proved (381ms)
% 1.52/1.08
% 1.52/1.08 No countermodel exists, formula is valid
% 1.52/1.08 % SZS status Theorem for theBenchmark
% 1.52/1.08
% 1.52/1.08 Generating proof ... found it (size 6)
% 1.97/1.19
% 1.97/1.19 % SZS output start Proof for theBenchmark
% 1.97/1.19 Assumed formulas after preprocessing and simplification:
% 1.97/1.19 | (0) ? [v0] : ? [v1] : ? [v2] : (r(v1, v2) & s(v1) & s(v0) & ! [v3] : ! [v4] : ( ~ q(v3, v4) | ~ p(v3)) & ! [v3] : ! [v4] : ( ~ r(v3, v4) | q(v3, v4)) & ! [v3] : ( ~ s(v3) | p(v3)))
% 1.97/1.20 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 1.97/1.20 | (1) r(all_0_1_1, all_0_0_0) & s(all_0_1_1) & s(all_0_2_2) & ! [v0] : ! [v1] : ( ~ q(v0, v1) | ~ p(v0)) & ! [v0] : ! [v1] : ( ~ r(v0, v1) | q(v0, v1)) & ! [v0] : ( ~ s(v0) | p(v0))
% 1.97/1.20 |
% 1.97/1.20 | Applying alpha-rule on (1) yields:
% 1.97/1.20 | (2) s(all_0_2_2)
% 1.97/1.20 | (3) s(all_0_1_1)
% 1.97/1.20 | (4) ! [v0] : ! [v1] : ( ~ r(v0, v1) | q(v0, v1))
% 1.97/1.20 | (5) ! [v0] : ! [v1] : ( ~ q(v0, v1) | ~ p(v0))
% 1.97/1.20 | (6) ! [v0] : ( ~ s(v0) | p(v0))
% 1.97/1.21 | (7) r(all_0_1_1, all_0_0_0)
% 1.97/1.21 |
% 1.97/1.21 | Instantiating formula (4) with all_0_0_0, all_0_1_1 and discharging atoms r(all_0_1_1, all_0_0_0), yields:
% 1.97/1.21 | (8) q(all_0_1_1, all_0_0_0)
% 1.97/1.21 |
% 1.97/1.21 | Instantiating formula (6) with all_0_1_1 and discharging atoms s(all_0_1_1), yields:
% 1.97/1.21 | (9) p(all_0_1_1)
% 1.97/1.21 |
% 1.97/1.21 | Instantiating formula (5) with all_0_0_0, all_0_1_1 and discharging atoms q(all_0_1_1, all_0_0_0), p(all_0_1_1), yields:
% 1.97/1.21 | (10) $false
% 1.97/1.21 |
% 1.97/1.21 |-The branch is then unsatisfiable
% 1.97/1.21 % SZS output end Proof for theBenchmark
% 1.97/1.21
% 1.97/1.21 551ms
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