TSTP Solution File: SYN323+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN323+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n005.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 05:01:22 EDT 2022
% Result : Theorem 1.44s 0.97s
% Output : Proof 1.93s
% 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 : SYN323+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 19:23:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.57 ____ _
% 0.18/0.57 ___ / __ \_____(_)___ ________ __________
% 0.18/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.57
% 0.18/0.57 A Theorem Prover for First-Order Logic
% 0.18/0.57 (ePrincess v.1.0)
% 0.18/0.57
% 0.18/0.57 (c) Philipp Rümmer, 2009-2015
% 0.18/0.57 (c) Peter Backeman, 2014-2015
% 0.18/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.57 Bug reports to peter@backeman.se
% 0.18/0.57
% 0.18/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.57
% 0.18/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.67/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.13/0.83 Prover 0: Preprocessing ...
% 1.33/0.88 Prover 0: Warning: ignoring some quantifiers
% 1.33/0.89 Prover 0: Constructing countermodel ...
% 1.44/0.97 Prover 0: proved (352ms)
% 1.44/0.97
% 1.44/0.97 No countermodel exists, formula is valid
% 1.44/0.97 % SZS status Theorem for theBenchmark
% 1.44/0.97
% 1.44/0.97 Generating proof ... Warning: ignoring some quantifiers
% 1.93/1.10 found it (size 10)
% 1.93/1.10
% 1.93/1.10 % SZS output start Proof for theBenchmark
% 1.93/1.10 Assumed formulas after preprocessing and simplification:
% 1.93/1.10 | (0) ! [v0] : ! [v1] : ( ~ big_g(v1, v0) | ~ big_f(v0, v1)) & ! [v0] : ! [v1] : ( ~ big_g(v1, v0) | big_f(v1, v0)) & ! [v0] : ! [v1] : ( ~ big_f(v0, v1) | big_g(v1, v0)) & ? [v0] : ? [v1] : (big_g(v1, v0) | big_f(v1, v0))
% 1.93/1.11 | Applying alpha-rule on (0) yields:
% 1.93/1.11 | (1) ! [v0] : ! [v1] : ( ~ big_g(v1, v0) | ~ big_f(v0, v1))
% 1.93/1.11 | (2) ! [v0] : ! [v1] : ( ~ big_g(v1, v0) | big_f(v1, v0))
% 1.93/1.11 | (3) ! [v0] : ! [v1] : ( ~ big_f(v0, v1) | big_g(v1, v0))
% 1.93/1.11 | (4) ? [v0] : ? [v1] : (big_g(v1, v0) | big_f(v1, v0))
% 1.93/1.11 |
% 1.93/1.11 | Instantiating (4) with all_1_0_0, all_1_1_1 yields:
% 1.93/1.11 | (5) big_g(all_1_0_0, all_1_1_1) | big_f(all_1_0_0, all_1_1_1)
% 1.93/1.11 |
% 1.93/1.11 +-Applying beta-rule and splitting (5), into two cases.
% 1.93/1.11 |-Branch one:
% 1.93/1.11 | (6) big_g(all_1_0_0, all_1_1_1)
% 1.93/1.11 |
% 1.93/1.11 | Instantiating formula (2) with all_1_0_0, all_1_1_1 and discharging atoms big_g(all_1_0_0, all_1_1_1), yields:
% 1.93/1.11 | (7) big_f(all_1_0_0, all_1_1_1)
% 1.93/1.11 |
% 1.93/1.11 | Instantiating formula (3) with all_1_1_1, all_1_0_0 and discharging atoms big_f(all_1_0_0, all_1_1_1), yields:
% 1.93/1.11 | (8) big_g(all_1_1_1, all_1_0_0)
% 1.93/1.11 |
% 1.93/1.11 | Instantiating formula (1) with all_1_1_1, all_1_0_0 and discharging atoms big_g(all_1_1_1, all_1_0_0), big_f(all_1_0_0, all_1_1_1), yields:
% 1.93/1.11 | (9) $false
% 1.93/1.11 |
% 1.93/1.11 |-The branch is then unsatisfiable
% 1.93/1.11 |-Branch two:
% 1.93/1.11 | (10) ~ big_g(all_1_0_0, all_1_1_1)
% 1.93/1.11 | (7) big_f(all_1_0_0, all_1_1_1)
% 1.93/1.11 |
% 1.93/1.12 | Instantiating formula (3) with all_1_1_1, all_1_0_0 and discharging atoms big_f(all_1_0_0, all_1_1_1), yields:
% 1.93/1.12 | (8) big_g(all_1_1_1, all_1_0_0)
% 1.93/1.12 |
% 1.93/1.12 | Instantiating formula (1) with all_1_1_1, all_1_0_0 and discharging atoms big_g(all_1_1_1, all_1_0_0), big_f(all_1_0_0, all_1_1_1), yields:
% 1.93/1.12 | (9) $false
% 1.93/1.12 |
% 1.93/1.12 |-The branch is then unsatisfiable
% 1.93/1.12 % SZS output end Proof for theBenchmark
% 1.93/1.12
% 1.93/1.12 535ms
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