TSTP Solution File: SYN968+1 by ePrincess---1.0
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% File : ePrincess---1.0
% Problem : SYN968+1 : TPTP v8.1.0. Released v3.1.0.
% 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 05:06:10 EDT 2022
% Result : Theorem 2.07s 1.14s
% Output : Proof 2.40s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN968+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 03:14:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.50/0.59 ____ _
% 0.50/0.59 ___ / __ \_____(_)___ ________ __________
% 0.50/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.50/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.50/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.50/0.59
% 0.50/0.59 A Theorem Prover for First-Order Logic
% 0.50/0.59 (ePrincess v.1.0)
% 0.50/0.59
% 0.50/0.59 (c) Philipp Rümmer, 2009-2015
% 0.50/0.59 (c) Peter Backeman, 2014-2015
% 0.50/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.50/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.50/0.59 Bug reports to peter@backeman.se
% 0.50/0.59
% 0.50/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.50/0.59
% 0.50/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.76/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.19/0.86 Prover 0: Preprocessing ...
% 1.19/0.90 Prover 0: Warning: ignoring some quantifiers
% 1.19/0.91 Prover 0: Constructing countermodel ...
% 1.35/0.98 Prover 0: gave up
% 1.35/0.98 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.49/0.99 Prover 1: Preprocessing ...
% 1.49/1.03 Prover 1: Constructing countermodel ...
% 1.49/1.03 Prover 1: gave up
% 1.49/1.03 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.49/1.04 Prover 2: Preprocessing ...
% 1.74/1.05 Prover 2: Warning: ignoring some quantifiers
% 1.74/1.06 Prover 2: Constructing countermodel ...
% 1.74/1.07 Prover 2: gave up
% 1.74/1.08 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.83/1.08 Prover 3: Preprocessing ...
% 1.83/1.09 Prover 3: Warning: ignoring some quantifiers
% 1.83/1.09 Prover 3: Constructing countermodel ...
% 1.83/1.10 Prover 3: gave up
% 1.83/1.10 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 1.83/1.10 Prover 4: Preprocessing ...
% 1.83/1.12 Prover 4: Warning: ignoring some quantifiers
% 1.83/1.12 Prover 4: Constructing countermodel ...
% 2.07/1.14 Prover 4: proved (39ms)
% 2.07/1.14
% 2.07/1.14 No countermodel exists, formula is valid
% 2.07/1.14 % SZS status Theorem for theBenchmark
% 2.07/1.14
% 2.07/1.14 Generating proof ... Warning: ignoring some quantifiers
% 2.17/1.23 found it (size 8)
% 2.17/1.23
% 2.17/1.23 % SZS output start Proof for theBenchmark
% 2.17/1.23 Assumed formulas after preprocessing and simplification:
% 2.31/1.23 | (0) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = v0)) & ! [v0] : ! [v1] : ( ~ (p(v0) = v1) | ? [v2] : ? [v3] : (v1 = 0 & ~ (v3 = 0) & p(v2) = v3)) & ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & p(v1) = v2 & p(v0) = 0)
% 2.40/1.27 | Applying alpha-rule on (0) yields:
% 2.40/1.27 | (1) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = v0))
% 2.40/1.27 | (2) ! [v0] : ! [v1] : ( ~ (p(v0) = v1) | ? [v2] : ? [v3] : (v1 = 0 & ~ (v3 = 0) & p(v2) = v3))
% 2.40/1.27 | (3) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & p(v1) = v2 & p(v0) = 0)
% 2.40/1.27 |
% 2.40/1.27 | Instantiating (3) with all_1_0_0, all_1_1_1, all_1_2_2 yields:
% 2.40/1.27 | (4) ~ (all_1_0_0 = 0) & p(all_1_1_1) = all_1_0_0 & p(all_1_2_2) = 0
% 2.40/1.27 |
% 2.40/1.27 | Applying alpha-rule on (4) yields:
% 2.40/1.27 | (5) ~ (all_1_0_0 = 0)
% 2.40/1.27 | (6) p(all_1_1_1) = all_1_0_0
% 2.40/1.27 | (7) p(all_1_2_2) = 0
% 2.40/1.27 |
% 2.40/1.28 | Instantiating formula (2) with all_1_0_0, all_1_1_1 and discharging atoms p(all_1_1_1) = all_1_0_0, yields:
% 2.40/1.28 | (8) ? [v0] : ? [v1] : (all_1_0_0 = 0 & ~ (v1 = 0) & p(v0) = v1)
% 2.40/1.28 |
% 2.40/1.28 | Instantiating (8) with all_10_0_5, all_10_1_6 yields:
% 2.40/1.28 | (9) all_1_0_0 = 0 & ~ (all_10_0_5 = 0) & p(all_10_1_6) = all_10_0_5
% 2.40/1.28 |
% 2.40/1.28 | Applying alpha-rule on (9) yields:
% 2.40/1.28 | (10) all_1_0_0 = 0
% 2.40/1.28 | (11) ~ (all_10_0_5 = 0)
% 2.40/1.28 | (12) p(all_10_1_6) = all_10_0_5
% 2.40/1.28 |
% 2.40/1.28 | Equations (10) can reduce 5 to:
% 2.40/1.28 | (13) $false
% 2.40/1.28 |
% 2.40/1.28 |-The branch is then unsatisfiable
% 2.40/1.28 % SZS output end Proof for theBenchmark
% 2.40/1.28
% 2.40/1.28 680ms
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