TSTP Solution File: SYN398+1 by ePrincess---1.0
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% File : ePrincess---1.0
% Problem : SYN398+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 05:02:08 EDT 2022
% Result : Theorem 1.64s 1.06s
% Output : Proof 2.16s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN398+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n005.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 20:14:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.58 ____ _
% 0.19/0.58 ___ / __ \_____(_)___ ________ __________
% 0.19/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.58
% 0.19/0.58 A Theorem Prover for First-Order Logic
% 0.19/0.58 (ePrincess v.1.0)
% 0.19/0.58
% 0.19/0.58 (c) Philipp Rümmer, 2009-2015
% 0.19/0.58 (c) Peter Backeman, 2014-2015
% 0.19/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.58 Bug reports to peter@backeman.se
% 0.19/0.58
% 0.19/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.58
% 0.19/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.75/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.02/0.85 Prover 0: Preprocessing ...
% 1.28/0.90 Prover 0: Warning: ignoring some quantifiers
% 1.28/0.91 Prover 0: Constructing countermodel ...
% 1.39/0.98 Prover 0: gave up
% 1.39/0.98 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.39/1.00 Prover 1: Preprocessing ...
% 1.64/1.04 Prover 1: Constructing countermodel ...
% 1.64/1.05 Prover 1: proved (72ms)
% 1.64/1.06
% 1.64/1.06 No countermodel exists, formula is valid
% 1.64/1.06 % SZS status Theorem for theBenchmark
% 1.64/1.06
% 1.64/1.06 Generating proof ... found it (size 5)
% 1.86/1.15
% 1.86/1.15 % SZS output start Proof for theBenchmark
% 1.86/1.15 Assumed formulas after preprocessing and simplification:
% 1.86/1.15 | (0) ? [v0] : ? [v1] : ( ~ (v1 = 0) & f(v0) = v1 & p & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (f(v4) = v3) | ~ (f(v4) = v2)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (f(v2) = v3)))
% 2.16/1.20 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 2.16/1.20 | (1) ~ (all_0_0_0 = 0) & f(all_0_1_1) = all_0_0_0 & p & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f(v2) = v1) | ~ (f(v2) = v0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (f(v0) = v1))
% 2.16/1.20 |
% 2.16/1.20 | Applying alpha-rule on (1) yields:
% 2.16/1.20 | (2) f(all_0_1_1) = all_0_0_0
% 2.16/1.20 | (3) p
% 2.16/1.20 | (4) ! [v0] : ! [v1] : (v1 = 0 | ~ (f(v0) = v1))
% 2.16/1.20 | (5) ~ (all_0_0_0 = 0)
% 2.16/1.20 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f(v2) = v1) | ~ (f(v2) = v0))
% 2.16/1.20 |
% 2.16/1.20 | Instantiating formula (4) with all_0_0_0, all_0_1_1 and discharging atoms f(all_0_1_1) = all_0_0_0, yields:
% 2.16/1.20 | (7) all_0_0_0 = 0
% 2.16/1.21 |
% 2.16/1.21 | Equations (7) can reduce 5 to:
% 2.16/1.21 | (8) $false
% 2.16/1.21 |
% 2.16/1.21 |-The branch is then unsatisfiable
% 2.16/1.21 % SZS output end Proof for theBenchmark
% 2.16/1.21
% 2.16/1.21 615ms
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