TSTP Solution File: SYN401+1 by ePrincess---1.0
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% File : ePrincess---1.0
% Problem : SYN401+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n012.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 05:02:09 EDT 2022
% Result : Theorem 1.45s 0.99s
% Output : Proof 2.05s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN401+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n012.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 23:59:27 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
% 0.18/0.58 (ePrincess v.1.0)
% 0.18/0.58
% 0.18/0.58 (c) Philipp Rümmer, 2009-2015
% 0.18/0.58 (c) Peter Backeman, 2014-2015
% 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.58 Bug reports to peter@backeman.se
% 0.18/0.58
% 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.58
% 0.18/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.65/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.16/0.81 Prover 0: Preprocessing ...
% 1.16/0.84 Prover 0: Warning: ignoring some quantifiers
% 1.16/0.86 Prover 0: Constructing countermodel ...
% 1.37/0.93 Prover 0: gave up
% 1.37/0.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.45/0.94 Prover 1: Preprocessing ...
% 1.45/0.97 Prover 1: Constructing countermodel ...
% 1.45/0.99 Prover 1: proved (63ms)
% 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 5)
% 1.86/1.07
% 1.86/1.07 % SZS output start Proof for theBenchmark
% 1.86/1.08 Assumed formulas after preprocessing and simplification:
% 1.86/1.08 | (0) ? [v0] : ? [v1] : ( ~ (v1 = 0) & f(v0) = v1 & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (f(v4) = v3) | ~ (f(v4) = v2)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (f(v2) = v3)))
% 2.05/1.13 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 2.05/1.13 | (1) ~ (all_0_0_0 = 0) & f(all_0_1_1) = all_0_0_0 & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f(v2) = v1) | ~ (f(v2) = v0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (f(v0) = v1))
% 2.05/1.13 |
% 2.05/1.13 | Applying alpha-rule on (1) yields:
% 2.05/1.13 | (2) ~ (all_0_0_0 = 0)
% 2.05/1.13 | (3) f(all_0_1_1) = all_0_0_0
% 2.05/1.13 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f(v2) = v1) | ~ (f(v2) = v0))
% 2.05/1.13 | (5) ! [v0] : ! [v1] : (v1 = 0 | ~ (f(v0) = v1))
% 2.05/1.13 |
% 2.05/1.13 | Instantiating formula (5) with all_0_0_0, all_0_1_1 and discharging atoms f(all_0_1_1) = all_0_0_0, yields:
% 2.05/1.13 | (6) all_0_0_0 = 0
% 2.05/1.13 |
% 2.05/1.13 | Equations (6) can reduce 2 to:
% 2.05/1.13 | (7) $false
% 2.05/1.13 |
% 2.05/1.13 |-The branch is then unsatisfiable
% 2.05/1.13 % SZS output end Proof for theBenchmark
% 2.05/1.13
% 2.05/1.13 546ms
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