TSTP Solution File: SYN064+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN064+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 04:59:35 EDT 2022
% Result : Theorem 1.73s 1.04s
% Output : Proof 2.23s
% 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 : SYN064+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % 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 : Tue Jul 12 05:06:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.58 ____ _
% 0.18/0.58 ___ / __ \_____(_)___ ________ __________
% 0.18/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.58
% 0.18/0.58 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/sandbox2/benchmark/theBenchmark.p ...
% 0.76/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.13/0.84 Prover 0: Preprocessing ...
% 1.31/0.88 Prover 0: Warning: ignoring some quantifiers
% 1.34/0.89 Prover 0: Constructing countermodel ...
% 1.40/0.97 Prover 0: gave up
% 1.40/0.97 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.40/0.99 Prover 1: Preprocessing ...
% 1.73/1.02 Prover 1: Constructing countermodel ...
% 1.73/1.04 Prover 1: proved (68ms)
% 1.73/1.04
% 1.73/1.04 No countermodel exists, formula is valid
% 1.73/1.04 % SZS status Theorem for theBenchmark
% 1.73/1.04
% 1.73/1.04 Generating proof ... found it (size 5)
% 2.01/1.13
% 2.01/1.13 % SZS output start Proof for theBenchmark
% 2.01/1.13 Assumed formulas after preprocessing and simplification:
% 2.01/1.13 | (0) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & big_p(v0, v1) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ (big_p(v6, v5) = v4) | ~ (big_p(v6, v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (big_p(v3, v4) = v5)))
% 2.23/1.19 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 2.23/1.19 | (1) ~ (all_0_0_0 = 0) & big_p(all_0_2_2, all_0_1_1) = all_0_0_0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (big_p(v3, v2) = v1) | ~ (big_p(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (big_p(v0, v1) = v2))
% 2.23/1.20 |
% 2.23/1.20 | Applying alpha-rule on (1) yields:
% 2.23/1.20 | (2) ~ (all_0_0_0 = 0)
% 2.23/1.20 | (3) big_p(all_0_2_2, all_0_1_1) = all_0_0_0
% 2.23/1.20 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (big_p(v3, v2) = v1) | ~ (big_p(v3, v2) = v0))
% 2.23/1.20 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (big_p(v0, v1) = v2))
% 2.23/1.20 |
% 2.23/1.20 | Instantiating formula (5) with all_0_0_0, all_0_1_1, all_0_2_2 and discharging atoms big_p(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 2.23/1.20 | (6) all_0_0_0 = 0
% 2.23/1.20 |
% 2.23/1.20 | Equations (6) can reduce 2 to:
% 2.23/1.20 | (7) $false
% 2.23/1.20 |
% 2.23/1.20 |-The branch is then unsatisfiable
% 2.23/1.20 % SZS output end Proof for theBenchmark
% 2.23/1.20
% 2.23/1.20 613ms
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