TSTP Solution File: SYN958+1 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : SYN958+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n023.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 05:06:06 EDT 2022
% Result : Theorem 2.06s 1.12s
% Output : Proof 2.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SYN958+1 : TPTP v8.1.0. Released v3.1.0.
% 0.02/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jul 11 17:47:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.53/0.56 ____ _
% 0.53/0.56 ___ / __ \_____(_)___ ________ __________
% 0.53/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.56
% 0.53/0.56 A Theorem Prover for First-Order Logic
% 0.53/0.56 (ePrincess v.1.0)
% 0.53/0.56
% 0.53/0.56 (c) Philipp Rümmer, 2009-2015
% 0.53/0.56 (c) Peter Backeman, 2014-2015
% 0.53/0.56 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.56 Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.56 Bug reports to peter@backeman.se
% 0.53/0.56
% 0.53/0.56 For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.56
% 0.53/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.59/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.12/0.81 Prover 0: Preprocessing ...
% 1.27/0.85 Prover 0: Warning: ignoring some quantifiers
% 1.27/0.86 Prover 0: Constructing countermodel ...
% 1.45/0.94 Prover 0: gave up
% 1.45/0.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.58/0.96 Prover 1: Preprocessing ...
% 1.58/1.02 Prover 1: Constructing countermodel ...
% 1.86/1.04 Prover 1: gave up
% 1.86/1.04 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.86/1.05 Prover 2: Preprocessing ...
% 1.86/1.08 Prover 2: Warning: ignoring some quantifiers
% 1.86/1.08 Prover 2: Constructing countermodel ...
% 2.06/1.12 Prover 2: proved (78ms)
% 2.06/1.12
% 2.06/1.12 No countermodel exists, formula is valid
% 2.06/1.12 % SZS status Theorem for theBenchmark
% 2.06/1.12
% 2.06/1.12 Generating proof ... Warning: ignoring some quantifiers
% 2.46/1.24 found it (size 8)
% 2.46/1.24
% 2.46/1.24 % SZS output start Proof for theBenchmark
% 2.46/1.24 Assumed formulas after preprocessing and simplification:
% 2.46/1.24 | (0) ? [v0] : (a(v0) = 0 & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (b(v3) = v2) | ~ (b(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (a(v3) = v2) | ~ (a(v3) = v1)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (b(v1) = v2)) & ! [v1] : ( ~ (b(v1) = 0) | ? [v2] : ( ~ (v2 = 0) & a(v1) = v2)) & ! [v1] : ( ~ (a(v1) = 0) | ? [v2] : ( ~ (v2 = 0) & b(v1) = v2)) & ? [v1] : ? [v2] : b(v1) = v2 & ? [v1] : ? [v2] : a(v1) = v2)
% 2.46/1.28 | Instantiating (0) with all_0_0_0 yields:
% 2.46/1.28 | (1) a(all_0_0_0) = 0 & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (b(v2) = v1) | ~ (b(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (a(v2) = v1) | ~ (a(v2) = v0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (b(v0) = v1)) & ! [v0] : ( ~ (b(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & a(v0) = v1)) & ! [v0] : ( ~ (a(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & b(v0) = v1)) & ? [v0] : ? [v1] : b(v0) = v1 & ? [v0] : ? [v1] : a(v0) = v1
% 2.46/1.28 |
% 2.46/1.28 | Applying alpha-rule on (1) yields:
% 2.46/1.28 | (2) a(all_0_0_0) = 0
% 2.46/1.28 | (3) ! [v0] : ! [v1] : (v1 = 0 | ~ (b(v0) = v1))
% 2.46/1.28 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (b(v2) = v1) | ~ (b(v2) = v0))
% 2.46/1.28 | (5) ? [v0] : ? [v1] : a(v0) = v1
% 2.46/1.28 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (a(v2) = v1) | ~ (a(v2) = v0))
% 2.46/1.28 | (7) ? [v0] : ? [v1] : b(v0) = v1
% 2.46/1.28 | (8) ! [v0] : ( ~ (a(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & b(v0) = v1))
% 2.46/1.28 | (9) ! [v0] : ( ~ (b(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & a(v0) = v1))
% 2.46/1.28 |
% 2.46/1.28 | Instantiating formula (8) with all_0_0_0 and discharging atoms a(all_0_0_0) = 0, yields:
% 2.46/1.28 | (10) ? [v0] : ( ~ (v0 = 0) & b(all_0_0_0) = v0)
% 2.46/1.28 |
% 2.46/1.28 | Instantiating (10) with all_16_0_5 yields:
% 2.46/1.28 | (11) ~ (all_16_0_5 = 0) & b(all_0_0_0) = all_16_0_5
% 2.46/1.28 |
% 2.46/1.28 | Applying alpha-rule on (11) yields:
% 2.46/1.28 | (12) ~ (all_16_0_5 = 0)
% 2.46/1.28 | (13) b(all_0_0_0) = all_16_0_5
% 2.46/1.29 |
% 2.46/1.29 | Instantiating formula (3) with all_16_0_5, all_0_0_0 and discharging atoms b(all_0_0_0) = all_16_0_5, yields:
% 2.46/1.29 | (14) all_16_0_5 = 0
% 2.46/1.29 |
% 2.46/1.29 | Equations (14) can reduce 12 to:
% 2.46/1.29 | (15) $false
% 2.46/1.29 |
% 2.46/1.29 |-The branch is then unsatisfiable
% 2.46/1.29 % SZS output end Proof for theBenchmark
% 2.46/1.29
% 2.46/1.29 713ms
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