TSTP Solution File: SYN359+1 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : SYN359+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n026.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 05:01:47 EDT 2022
% Result : Theorem 1.45s 0.99s
% Output : Proof 1.92s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN359+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.33 % Computer : n026.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 15:31:42 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.56/0.56 ____ _
% 0.56/0.56 ___ / __ \_____(_)___ ________ __________
% 0.56/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.56
% 0.56/0.56 A Theorem Prover for First-Order Logic
% 0.56/0.56 (ePrincess v.1.0)
% 0.56/0.56
% 0.56/0.56 (c) Philipp Rümmer, 2009-2015
% 0.56/0.56 (c) Peter Backeman, 2014-2015
% 0.56/0.56 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.56 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.56 Bug reports to peter@backeman.se
% 0.56/0.56
% 0.56/0.56 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.56
% 0.56/0.56 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.60/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.24/0.85 Prover 0: Preprocessing ...
% 1.31/0.92 Prover 0: Constructing countermodel ...
% 1.45/0.99 Prover 0: proved (378ms)
% 1.45/0.99
% 1.45/0.99 No countermodel exists, formula is valid
% 1.45/0.99 % SZS status Theorem for theBenchmark
% 1.45/0.99
% 1.45/0.99 Generating proof ... found it (size 7)
% 1.92/1.10
% 1.92/1.10 % SZS output start Proof for theBenchmark
% 1.92/1.10 Assumed formulas after preprocessing and simplification:
% 1.92/1.10 | (0) ? [v0] : (big_r(v0) & ! [v1] : ! [v2] : ( ~ big_q(v1, v2) | ~ big_r(v2)) & ! [v1] : ! [v2] : ( ~ big_q(v1, v2) | big_q(v1, v1)) & ! [v1] : ( ~ big_r(v1) | ? [v2] : big_q(v1, v2)))
% 1.92/1.11 | Instantiating (0) with all_0_0_0 yields:
% 1.92/1.11 | (1) big_r(all_0_0_0) & ! [v0] : ! [v1] : ( ~ big_q(v0, v1) | ~ big_r(v1)) & ! [v0] : ! [v1] : ( ~ big_q(v0, v1) | big_q(v0, v0)) & ! [v0] : ( ~ big_r(v0) | ? [v1] : big_q(v0, v1))
% 1.92/1.11 |
% 1.92/1.11 | Applying alpha-rule on (1) yields:
% 1.92/1.11 | (2) big_r(all_0_0_0)
% 1.92/1.11 | (3) ! [v0] : ! [v1] : ( ~ big_q(v0, v1) | ~ big_r(v1))
% 1.92/1.11 | (4) ! [v0] : ! [v1] : ( ~ big_q(v0, v1) | big_q(v0, v0))
% 1.92/1.11 | (5) ! [v0] : ( ~ big_r(v0) | ? [v1] : big_q(v0, v1))
% 1.92/1.11 |
% 1.92/1.11 | Instantiating formula (5) with all_0_0_0 and discharging atoms big_r(all_0_0_0), yields:
% 1.92/1.11 | (6) ? [v0] : big_q(all_0_0_0, v0)
% 1.92/1.11 |
% 1.92/1.11 | Instantiating (6) with all_8_0_1 yields:
% 1.92/1.11 | (7) big_q(all_0_0_0, all_8_0_1)
% 1.92/1.11 |
% 1.92/1.11 | Instantiating formula (4) with all_8_0_1, all_0_0_0 and discharging atoms big_q(all_0_0_0, all_8_0_1), yields:
% 1.92/1.11 | (8) big_q(all_0_0_0, all_0_0_0)
% 1.92/1.11 |
% 1.92/1.11 | Instantiating formula (3) with all_0_0_0, all_0_0_0 and discharging atoms big_q(all_0_0_0, all_0_0_0), big_r(all_0_0_0), yields:
% 1.92/1.11 | (9) $false
% 1.92/1.11 |
% 1.92/1.12 |-The branch is then unsatisfiable
% 1.92/1.12 % SZS output end Proof for theBenchmark
% 1.92/1.12
% 1.92/1.12 542ms
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