TSTP Solution File: SYN062+1 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : SYN062+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.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 04:59:33 EDT 2022
% Result : Theorem 1.55s 1.04s
% Output : Proof 1.86s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN062+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n017.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 18:51:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.58 ____ _
% 0.56/0.58 ___ / __ \_____(_)___ ________ __________
% 0.56/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.58
% 0.56/0.58 A Theorem Prover for First-Order Logic
% 0.56/0.59 (ePrincess v.1.0)
% 0.56/0.59
% 0.56/0.59 (c) Philipp Rümmer, 2009-2015
% 0.56/0.59 (c) Peter Backeman, 2014-2015
% 0.56/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.59 Bug reports to peter@backeman.se
% 0.56/0.59
% 0.56/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.59
% 0.61/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.73/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.30/0.90 Prover 0: Preprocessing ...
% 1.41/0.97 Prover 0: Constructing countermodel ...
% 1.55/1.04 Prover 0: proved (402ms)
% 1.55/1.04
% 1.55/1.04 No countermodel exists, formula is valid
% 1.55/1.04 % SZS status Theorem for theBenchmark
% 1.55/1.04
% 1.55/1.04 Generating proof ... found it (size 6)
% 1.86/1.14
% 1.86/1.14 % SZS output start Proof for theBenchmark
% 1.86/1.14 Assumed formulas after preprocessing and simplification:
% 1.86/1.15 | (0) ? [v0] : (big_k(v0) & big_f(v0) & ~ big_j(v0) & ! [v1] : ( ~ big_k(v1) | big_h(v1)) & ! [v1] : ( ~ big_i(v1) | ~ big_h(v1) | big_j(v1)) & ! [v1] : ( ~ big_h(v1) | ~ big_f(v1) | big_i(v1)) & ! [v1] : ( ~ big_g(v1) | ~ big_f(v1) | big_i(v1)))
% 1.86/1.15 | Instantiating (0) with all_0_0_0 yields:
% 1.86/1.15 | (1) big_k(all_0_0_0) & big_f(all_0_0_0) & ~ big_j(all_0_0_0) & ! [v0] : ( ~ big_k(v0) | big_h(v0)) & ! [v0] : ( ~ big_i(v0) | ~ big_h(v0) | big_j(v0)) & ! [v0] : ( ~ big_h(v0) | ~ big_f(v0) | big_i(v0)) & ! [v0] : ( ~ big_g(v0) | ~ big_f(v0) | big_i(v0))
% 1.86/1.15 |
% 1.86/1.15 | Applying alpha-rule on (1) yields:
% 1.86/1.16 | (2) ! [v0] : ( ~ big_h(v0) | ~ big_f(v0) | big_i(v0))
% 1.86/1.16 | (3) ! [v0] : ( ~ big_g(v0) | ~ big_f(v0) | big_i(v0))
% 1.86/1.16 | (4) ! [v0] : ( ~ big_k(v0) | big_h(v0))
% 1.86/1.16 | (5) ~ big_j(all_0_0_0)
% 1.86/1.16 | (6) big_k(all_0_0_0)
% 1.86/1.16 | (7) big_f(all_0_0_0)
% 1.86/1.16 | (8) ! [v0] : ( ~ big_i(v0) | ~ big_h(v0) | big_j(v0))
% 1.86/1.16 |
% 1.86/1.16 | Instantiating formula (4) with all_0_0_0 and discharging atoms big_k(all_0_0_0), yields:
% 1.86/1.16 | (9) big_h(all_0_0_0)
% 1.86/1.16 |
% 1.86/1.16 | Instantiating formula (2) with all_0_0_0 and discharging atoms big_h(all_0_0_0), big_f(all_0_0_0), yields:
% 1.86/1.16 | (10) big_i(all_0_0_0)
% 1.86/1.16 |
% 1.86/1.16 | Instantiating formula (8) with all_0_0_0 and discharging atoms big_i(all_0_0_0), big_h(all_0_0_0), ~ big_j(all_0_0_0), yields:
% 1.86/1.16 | (11) $false
% 1.86/1.16 |
% 1.86/1.16 |-The branch is then unsatisfiable
% 1.86/1.16 % SZS output end Proof for theBenchmark
% 1.86/1.16
% 1.86/1.16 567ms
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