TSTP Solution File: SET631+3 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SET631+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n013.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 00:21:01 EDT 2022
% Result : Theorem 1.76s 1.15s
% Output : Proof 2.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET631+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 9 23:50:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.59 ____ _
% 0.21/0.59 ___ / __ \_____(_)___ ________ __________
% 0.21/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.21/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.21/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.21/0.59
% 0.21/0.59 A Theorem Prover for First-Order Logic
% 0.21/0.59 (ePrincess v.1.0)
% 0.21/0.59
% 0.21/0.59 (c) Philipp Rümmer, 2009-2015
% 0.21/0.59 (c) Peter Backeman, 2014-2015
% 0.21/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.21/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.21/0.59 Bug reports to peter@backeman.se
% 0.21/0.59
% 0.21/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.21/0.59
% 0.21/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.72/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.31/0.91 Prover 0: Preprocessing ...
% 1.59/1.03 Prover 0: Constructing countermodel ...
% 1.76/1.14 Prover 0: proved (498ms)
% 1.76/1.14
% 1.76/1.15 No countermodel exists, formula is valid
% 1.76/1.15 % SZS status Theorem for theBenchmark
% 1.76/1.15
% 1.76/1.15 Generating proof ... found it (size 8)
% 2.52/1.32
% 2.52/1.32 % SZS output start Proof for theBenchmark
% 2.52/1.32 Assumed formulas after preprocessing and simplification:
% 2.52/1.32 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (difference(v1, v2) = v3 & intersect(v0, v3) & ~ intersect(v0, v1) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (difference(v7, v6) = v5) | ~ (difference(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (difference(v4, v5) = v7) | ~ member(v6, v7) | ~ member(v6, v5)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (difference(v4, v5) = v7) | ~ member(v6, v7) | member(v6, v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (difference(v4, v5) = v7) | ~ member(v6, v4) | member(v6, v7) | member(v6, v5)) & ! [v4] : ! [v5] : ! [v6] : ( ~ member(v6, v5) | ~ member(v6, v4) | intersect(v4, v5)) & ! [v4] : ! [v5] : ( ~ intersect(v4, v5) | intersect(v5, v4)) & ! [v4] : ! [v5] : ( ~ intersect(v4, v5) | ? [v6] : (member(v6, v5) & member(v6, v4))))
% 2.52/1.36 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields:
% 2.52/1.36 | (1) difference(all_0_2_2, all_0_1_1) = all_0_0_0 & intersect(all_0_3_3, all_0_0_0) & ~ intersect(all_0_3_3, all_0_2_2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v0, v1) = v3) | ~ member(v2, v3) | ~ member(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v0, v1) = v3) | ~ member(v2, v3) | member(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v0, v1) = v3) | ~ member(v2, v0) | member(v2, v3) | member(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ member(v2, v1) | ~ member(v2, v0) | intersect(v0, v1)) & ! [v0] : ! [v1] : ( ~ intersect(v0, v1) | intersect(v1, v0)) & ! [v0] : ! [v1] : ( ~ intersect(v0, v1) | ? [v2] : (member(v2, v1) & member(v2, v0)))
% 2.52/1.36 |
% 2.52/1.36 | Applying alpha-rule on (1) yields:
% 2.52/1.36 | (2) ! [v0] : ! [v1] : ( ~ intersect(v0, v1) | ? [v2] : (member(v2, v1) & member(v2, v0)))
% 2.52/1.36 | (3) ! [v0] : ! [v1] : ( ~ intersect(v0, v1) | intersect(v1, v0))
% 2.52/1.36 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v0, v1) = v3) | ~ member(v2, v3) | member(v2, v0))
% 2.52/1.36 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ member(v2, v1) | ~ member(v2, v0) | intersect(v0, v1))
% 2.52/1.36 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v0, v1) = v3) | ~ member(v2, v0) | member(v2, v3) | member(v2, v1))
% 2.52/1.36 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0))
% 2.52/1.37 | (8) ~ intersect(all_0_3_3, all_0_2_2)
% 2.52/1.37 | (9) intersect(all_0_3_3, all_0_0_0)
% 2.52/1.37 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v0, v1) = v3) | ~ member(v2, v3) | ~ member(v2, v1))
% 2.52/1.37 | (11) difference(all_0_2_2, all_0_1_1) = all_0_0_0
% 2.52/1.37 |
% 2.52/1.37 | Instantiating formula (2) with all_0_0_0, all_0_3_3 and discharging atoms intersect(all_0_3_3, all_0_0_0), yields:
% 2.52/1.37 | (12) ? [v0] : (member(v0, all_0_0_0) & member(v0, all_0_3_3))
% 2.52/1.37 |
% 2.52/1.37 | Instantiating (12) with all_9_0_4 yields:
% 2.52/1.37 | (13) member(all_9_0_4, all_0_0_0) & member(all_9_0_4, all_0_3_3)
% 2.52/1.37 |
% 2.52/1.37 | Applying alpha-rule on (13) yields:
% 2.52/1.37 | (14) member(all_9_0_4, all_0_0_0)
% 2.52/1.37 | (15) member(all_9_0_4, all_0_3_3)
% 2.52/1.37 |
% 2.52/1.37 | Instantiating formula (4) with all_0_0_0, all_9_0_4, all_0_1_1, all_0_2_2 and discharging atoms difference(all_0_2_2, all_0_1_1) = all_0_0_0, member(all_9_0_4, all_0_0_0), yields:
% 2.52/1.37 | (16) member(all_9_0_4, all_0_2_2)
% 2.52/1.37 |
% 2.52/1.37 | Instantiating formula (5) with all_9_0_4, all_0_2_2, all_0_3_3 and discharging atoms member(all_9_0_4, all_0_2_2), member(all_9_0_4, all_0_3_3), ~ intersect(all_0_3_3, all_0_2_2), yields:
% 2.52/1.37 | (17) $false
% 2.52/1.37 |
% 2.52/1.37 |-The branch is then unsatisfiable
% 2.52/1.37 % SZS output end Proof for theBenchmark
% 2.52/1.37
% 2.52/1.37 767ms
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