TSTP Solution File: SYN957+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN957+1 : TPTP v8.1.0. Released v3.1.0.
% 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 05:06:05 EDT 2022
% Result : Theorem 3.22s 1.58s
% Output : Proof 3.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN957+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % 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 19:44:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.51/0.59 ____ _
% 0.51/0.59 ___ / __ \_____(_)___ ________ __________
% 0.51/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.59
% 0.51/0.59 A Theorem Prover for First-Order Logic
% 0.51/0.59 (ePrincess v.1.0)
% 0.51/0.59
% 0.51/0.59 (c) Philipp Rümmer, 2009-2015
% 0.51/0.59 (c) Peter Backeman, 2014-2015
% 0.51/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.59 Bug reports to peter@backeman.se
% 0.51/0.59
% 0.51/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.59
% 0.51/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.71/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.19/0.89 Prover 0: Preprocessing ...
% 1.19/0.92 Prover 0: Warning: ignoring some quantifiers
% 1.35/0.94 Prover 0: Constructing countermodel ...
% 1.60/1.04 Prover 0: gave up
% 1.60/1.04 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.60/1.05 Prover 1: Preprocessing ...
% 1.76/1.12 Prover 1: Constructing countermodel ...
% 1.76/1.13 Prover 1: gave up
% 1.76/1.13 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.98/1.14 Prover 2: Preprocessing ...
% 2.10/1.17 Prover 2: Warning: ignoring some quantifiers
% 2.10/1.18 Prover 2: Constructing countermodel ...
% 2.10/1.20 Prover 2: gave up
% 2.10/1.20 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.10/1.20 Prover 3: Preprocessing ...
% 2.10/1.21 Prover 3: Warning: ignoring some quantifiers
% 2.10/1.21 Prover 3: Constructing countermodel ...
% 2.32/1.23 Prover 3: gave up
% 2.32/1.23 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.32/1.23 Prover 4: Preprocessing ...
% 2.41/1.27 Prover 4: Warning: ignoring some quantifiers
% 2.41/1.28 Prover 4: Constructing countermodel ...
% 2.68/1.38 Prover 4: gave up
% 2.68/1.38 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.68/1.38 Prover 5: Preprocessing ...
% 2.68/1.40 Prover 5: Constructing countermodel ...
% 2.68/1.41 Prover 5: gave up
% 2.68/1.41 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.68/1.41 Prover 6: Preprocessing ...
% 2.68/1.43 Prover 6: Warning: ignoring some quantifiers
% 2.68/1.43 Prover 6: Constructing countermodel ...
% 2.91/1.44 Prover 6: gave up
% 2.91/1.44 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 2.91/1.44 Prover 7: Preprocessing ...
% 2.91/1.45 Prover 7: Proving ...
% 3.22/1.58 Prover 7: proved (140ms)
% 3.22/1.58
% 3.22/1.58 % SZS status Theorem for theBenchmark
% 3.22/1.58
% 3.22/1.58 Generating proof ... found it (size 13)
% 3.47/1.73
% 3.47/1.73 % SZS output start Proof for theBenchmark
% 3.47/1.73 Assumed formulas after preprocessing and simplification:
% 3.47/1.73 | (0) ? [v0] : ( ! [v1] : ( ~ a(v1, v1) | ~ a(v1, v0)) & ! [v1] : (a(v1, v1) | a(v1, v0)))
% 3.47/1.73 | Instantiating (0) with all_0_0_0 yields:
% 3.47/1.73 | (1) ! [v0] : ( ~ a(v0, v0) | ~ a(v0, all_0_0_0)) & ! [v0] : (a(v0, v0) | a(v0, all_0_0_0))
% 3.47/1.73 |
% 3.47/1.73 | Applying alpha-rule on (1) yields:
% 3.47/1.73 | (2) ! [v0] : ( ~ a(v0, v0) | ~ a(v0, all_0_0_0))
% 3.47/1.73 | (3) ! [v0] : (a(v0, v0) | a(v0, all_0_0_0))
% 3.47/1.73 |
% 3.47/1.73 | Introducing new symbol ex_4_0_1 defined by:
% 3.47/1.73 | (4) ex_4_0_1 = all_0_0_0
% 3.47/1.73 |
% 3.47/1.73 | Instantiating formula (3) with ex_4_0_1 yields:
% 3.47/1.73 | (5) a(ex_4_0_1, ex_4_0_1) | a(ex_4_0_1, all_0_0_0)
% 3.47/1.73 |
% 3.47/1.73 +-Applying beta-rule and splitting (5), into two cases.
% 3.47/1.73 |-Branch one:
% 3.47/1.73 | (6) a(ex_4_0_1, ex_4_0_1)
% 3.47/1.73 |
% 3.47/1.73 | Instantiating formula (2) with all_0_0_0 yields:
% 3.47/1.73 | (7) ~ a(all_0_0_0, all_0_0_0)
% 3.47/1.73 |
% 3.47/1.73 | From (4)(4) and (6) follows:
% 3.47/1.73 | (8) a(all_0_0_0, all_0_0_0)
% 3.47/1.73 |
% 3.47/1.73 | Using (8) and (7) yields:
% 3.47/1.73 | (9) $false
% 3.47/1.73 |
% 3.47/1.73 |-The branch is then unsatisfiable
% 3.47/1.73 |-Branch two:
% 3.47/1.73 | (10) a(ex_4_0_1, all_0_0_0)
% 3.47/1.74 |
% 3.47/1.74 | Instantiating formula (2) with all_0_0_0 yields:
% 3.47/1.74 | (7) ~ a(all_0_0_0, all_0_0_0)
% 3.47/1.74 |
% 3.47/1.74 | From (4) and (10) follows:
% 3.47/1.74 | (8) a(all_0_0_0, all_0_0_0)
% 3.47/1.74 |
% 3.47/1.74 | Using (8) and (7) yields:
% 3.47/1.74 | (9) $false
% 3.47/1.74 |
% 3.47/1.74 |-The branch is then unsatisfiable
% 3.47/1.74 % SZS output end Proof for theBenchmark
% 3.47/1.74
% 3.47/1.74 1136ms
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