TSTP Solution File: SEU158+3 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SEU158+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.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 : Tue Jul 19 08:47:06 EDT 2022
% Result : Theorem 1.78s 1.14s
% Output : Proof 2.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU158+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n021.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 : Sun Jun 19 04:44:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.61/0.66 ____ _
% 0.61/0.66 ___ / __ \_____(_)___ ________ __________
% 0.61/0.66 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.61/0.66 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.61/0.66 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.61/0.66
% 0.61/0.66 A Theorem Prover for First-Order Logic
% 0.61/0.66 (ePrincess v.1.0)
% 0.61/0.66
% 0.61/0.66 (c) Philipp Rümmer, 2009-2015
% 0.61/0.66 (c) Peter Backeman, 2014-2015
% 0.61/0.66 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.61/0.66 Free software under GNU Lesser General Public License (LGPL).
% 0.61/0.66 Bug reports to peter@backeman.se
% 0.61/0.66
% 0.61/0.66 For more information, visit http://user.uu.se/~petba168/breu/
% 0.61/0.66
% 0.61/0.66 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.77/0.71 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.33/0.95 Prover 0: Preprocessing ...
% 1.46/1.04 Prover 0: Warning: ignoring some quantifiers
% 1.46/1.05 Prover 0: Constructing countermodel ...
% 1.78/1.14 Prover 0: proved (429ms)
% 1.78/1.14
% 1.78/1.14 No countermodel exists, formula is valid
% 1.78/1.14 % SZS status Theorem for theBenchmark
% 1.78/1.14
% 1.78/1.14 Generating proof ... Warning: ignoring some quantifiers
% 2.11/1.27 found it (size 9)
% 2.11/1.27
% 2.11/1.27 % SZS output start Proof for theBenchmark
% 2.11/1.27 Assumed formulas after preprocessing and simplification:
% 2.11/1.27 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (singleton(v0) = v2 & empty(v4) & ~ empty(v3) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (singleton(v7) = v6) | ~ (singleton(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (singleton(v5) = v7) | ~ in(v5, v6) | subset(v7, v6)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (singleton(v5) = v7) | ~ subset(v7, v6) | in(v5, v6)) & ! [v5] : ! [v6] : ( ~ in(v6, v5) | ~ in(v5, v6)) & ? [v5] : subset(v5, v5) & ((in(v0, v1) & ~ subset(v2, v1)) | (subset(v2, v1) & ~ in(v0, v1))))
% 2.20/1.31 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 2.20/1.31 | (1) singleton(all_0_4_4) = all_0_2_2 & empty(all_0_0_0) & ~ empty(all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v2) | ~ in(v0, v1) | subset(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v2) | ~ subset(v2, v1) | in(v0, v1)) & ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1)) & ? [v0] : subset(v0, v0) & ((in(all_0_4_4, all_0_3_3) & ~ subset(all_0_2_2, all_0_3_3)) | (subset(all_0_2_2, all_0_3_3) & ~ in(all_0_4_4, all_0_3_3)))
% 2.20/1.32 |
% 2.20/1.32 | Applying alpha-rule on (1) yields:
% 2.20/1.32 | (2) empty(all_0_0_0)
% 2.20/1.32 | (3) singleton(all_0_4_4) = all_0_2_2
% 2.20/1.32 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 2.20/1.32 | (5) ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1))
% 2.20/1.32 | (6) ~ empty(all_0_1_1)
% 2.20/1.32 | (7) ? [v0] : subset(v0, v0)
% 2.20/1.32 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v2) | ~ subset(v2, v1) | in(v0, v1))
% 2.20/1.32 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v2) | ~ in(v0, v1) | subset(v2, v1))
% 2.20/1.32 | (10) (in(all_0_4_4, all_0_3_3) & ~ subset(all_0_2_2, all_0_3_3)) | (subset(all_0_2_2, all_0_3_3) & ~ in(all_0_4_4, all_0_3_3))
% 2.20/1.32 |
% 2.20/1.32 +-Applying beta-rule and splitting (10), into two cases.
% 2.20/1.32 |-Branch one:
% 2.20/1.32 | (11) in(all_0_4_4, all_0_3_3) & ~ subset(all_0_2_2, all_0_3_3)
% 2.20/1.32 |
% 2.20/1.32 | Applying alpha-rule on (11) yields:
% 2.20/1.32 | (12) in(all_0_4_4, all_0_3_3)
% 2.20/1.32 | (13) ~ subset(all_0_2_2, all_0_3_3)
% 2.20/1.32 |
% 2.20/1.32 | Instantiating formula (9) with all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms singleton(all_0_4_4) = all_0_2_2, in(all_0_4_4, all_0_3_3), ~ subset(all_0_2_2, all_0_3_3), yields:
% 2.20/1.32 | (14) $false
% 2.20/1.32 |
% 2.20/1.33 |-The branch is then unsatisfiable
% 2.20/1.33 |-Branch two:
% 2.20/1.33 | (15) subset(all_0_2_2, all_0_3_3) & ~ in(all_0_4_4, all_0_3_3)
% 2.20/1.33 |
% 2.20/1.33 | Applying alpha-rule on (15) yields:
% 2.20/1.33 | (16) subset(all_0_2_2, all_0_3_3)
% 2.20/1.33 | (17) ~ in(all_0_4_4, all_0_3_3)
% 2.20/1.33 |
% 2.20/1.33 | Instantiating formula (8) with all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms singleton(all_0_4_4) = all_0_2_2, subset(all_0_2_2, all_0_3_3), ~ in(all_0_4_4, all_0_3_3), yields:
% 2.20/1.33 | (14) $false
% 2.20/1.33 |
% 2.20/1.33 |-The branch is then unsatisfiable
% 2.20/1.33 % SZS output end Proof for theBenchmark
% 2.20/1.33
% 2.20/1.33 656ms
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