TSTP Solution File: SET585+3 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SET585+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n009.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 00:20:28 EDT 2022
% Result : Theorem 2.11s 1.21s
% Output : Proof 3.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET585+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n009.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 : Sun Jul 10 13:52:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.49/0.58 ____ _
% 0.49/0.58 ___ / __ \_____(_)___ ________ __________
% 0.49/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.49/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.49/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.49/0.58
% 0.49/0.58 A Theorem Prover for First-Order Logic
% 0.49/0.58 (ePrincess v.1.0)
% 0.49/0.58
% 0.49/0.58 (c) Philipp Rümmer, 2009-2015
% 0.49/0.58 (c) Peter Backeman, 2014-2015
% 0.49/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.49/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.49/0.58 Bug reports to peter@backeman.se
% 0.49/0.58
% 0.49/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.49/0.58
% 0.49/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.75/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.30/0.92 Prover 0: Preprocessing ...
% 1.88/1.09 Prover 0: Warning: ignoring some quantifiers
% 1.88/1.11 Prover 0: Constructing countermodel ...
% 2.11/1.20 Prover 0: proved (571ms)
% 2.11/1.21
% 2.11/1.21 No countermodel exists, formula is valid
% 2.11/1.21 % SZS status Theorem for theBenchmark
% 2.11/1.21
% 2.11/1.21 Generating proof ... Warning: ignoring some quantifiers
% 2.84/1.38 found it (size 6)
% 2.84/1.38
% 2.84/1.38 % SZS output start Proof for theBenchmark
% 2.84/1.38 Assumed formulas after preprocessing and simplification:
% 2.84/1.38 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection(v0, v1) = v3 & union(v0, v2) = v4 & ~ subset(v3, v4) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (intersection(v8, v7) = v6) | ~ (intersection(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (union(v8, v7) = v6) | ~ (union(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (intersection(v5, v6) = v8) | ~ member(v7, v8) | member(v7, v6)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (intersection(v5, v6) = v8) | ~ member(v7, v8) | member(v7, v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (intersection(v5, v6) = v8) | ~ member(v7, v6) | ~ member(v7, v5) | member(v7, v8)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (union(v5, v6) = v8) | ~ member(v7, v8) | member(v7, v6) | member(v7, v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (union(v5, v6) = v8) | ~ member(v7, v6) | member(v7, v8)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (union(v5, v6) = v8) | ~ member(v7, v5) | member(v7, v8)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (intersection(v6, v5) = v7) | intersection(v5, v6) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (intersection(v5, v6) = v7) | intersection(v6, v5) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (intersection(v5, v6) = v7) | subset(v7, v5)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (union(v6, v5) = v7) | union(v5, v6) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (union(v5, v6) = v7) | union(v6, v5) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (union(v5, v6) = v7) | subset(v5, v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ member(v7, v5) | ~ subset(v5, v6) | member(v7, v6)) & ! [v5] : ! [v6] : ! [v7] : ( ~ subset(v6, v7) | ~ subset(v5, v6) | subset(v5, v7)) & ? [v5] : ? [v6] : (v6 = v5 | ? [v7] : (( ~ member(v7, v6) | ~ member(v7, v5)) & (member(v7, v6) | member(v7, v5)))) & ? [v5] : ? [v6] : (subset(v5, v6) | ? [v7] : (member(v7, v5) & ~ member(v7, v6))) & ? [v5] : subset(v5, v5))
% 3.01/1.42 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 3.01/1.42 | (1) intersection(all_0_4_4, all_0_3_3) = all_0_1_1 & union(all_0_4_4, all_0_2_2) = all_0_0_0 & ~ subset(all_0_1_1, all_0_0_0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v0, v1) = v3) | ~ member(v2, v3) | member(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v0, v1) = v3) | ~ member(v2, v3) | member(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v0, v1) = v3) | ~ member(v2, v1) | ~ member(v2, v0) | member(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ member(v2, v3) | member(v2, v1) | member(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ member(v2, v1) | member(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ member(v2, v0) | member(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection(v1, v0) = v2) | intersection(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection(v0, v1) = v2) | intersection(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection(v0, v1) = v2) | subset(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (union(v1, v0) = v2) | union(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (union(v0, v1) = v2) | union(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (union(v0, v1) = v2) | subset(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ member(v2, v0) | ~ subset(v0, v1) | member(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ subset(v1, v2) | ~ subset(v0, v1) | subset(v0, v2)) & ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : (( ~ member(v2, v1) | ~ member(v2, v0)) & (member(v2, v1) | member(v2, v0)))) & ? [v0] : ? [v1] : (subset(v0, v1) | ? [v2] : (member(v2, v0) & ~ member(v2, v1))) & ? [v0] : subset(v0, v0)
% 3.01/1.43 |
% 3.01/1.43 | Applying alpha-rule on (1) yields:
% 3.01/1.43 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0))
% 3.01/1.43 | (3) union(all_0_4_4, all_0_2_2) = all_0_0_0
% 3.01/1.43 | (4) ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : (( ~ member(v2, v1) | ~ member(v2, v0)) & (member(v2, v1) | member(v2, v0))))
% 3.01/1.44 | (5) ? [v0] : subset(v0, v0)
% 3.01/1.44 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (union(v0, v1) = v2) | subset(v0, v2))
% 3.01/1.44 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v0, v1) = v3) | ~ member(v2, v3) | member(v2, v1))
% 3.01/1.44 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection(v0, v1) = v2) | subset(v2, v0))
% 3.01/1.44 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ subset(v1, v2) | ~ subset(v0, v1) | subset(v0, v2))
% 3.01/1.44 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ member(v2, v0) | ~ subset(v0, v1) | member(v2, v1))
% 3.01/1.44 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection(v0, v1) = v2) | intersection(v1, v0) = v2)
% 3.01/1.44 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection(v1, v0) = v2) | intersection(v0, v1) = v2)
% 3.01/1.44 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ member(v2, v0) | member(v2, v3))
% 3.01/1.44 | (14) intersection(all_0_4_4, all_0_3_3) = all_0_1_1
% 3.01/1.44 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0))
% 3.01/1.44 | (16) ? [v0] : ? [v1] : (subset(v0, v1) | ? [v2] : (member(v2, v0) & ~ member(v2, v1)))
% 3.01/1.44 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ member(v2, v1) | member(v2, v3))
% 3.01/1.44 | (18) ~ subset(all_0_1_1, all_0_0_0)
% 3.01/1.44 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (union(v0, v1) = v2) | union(v1, v0) = v2)
% 3.01/1.44 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (union(v1, v0) = v2) | union(v0, v1) = v2)
% 3.01/1.44 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v0, v1) = v3) | ~ member(v2, v1) | ~ member(v2, v0) | member(v2, v3))
% 3.01/1.44 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ member(v2, v3) | member(v2, v1) | member(v2, v0))
% 3.01/1.44 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v0, v1) = v3) | ~ member(v2, v3) | member(v2, v0))
% 3.01/1.44 |
% 3.01/1.44 | Instantiating formula (8) with all_0_1_1, all_0_3_3, all_0_4_4 and discharging atoms intersection(all_0_4_4, all_0_3_3) = all_0_1_1, yields:
% 3.01/1.44 | (24) subset(all_0_1_1, all_0_4_4)
% 3.01/1.44 |
% 3.01/1.44 | Instantiating formula (6) with all_0_0_0, all_0_2_2, all_0_4_4 and discharging atoms union(all_0_4_4, all_0_2_2) = all_0_0_0, yields:
% 3.01/1.44 | (25) subset(all_0_4_4, all_0_0_0)
% 3.01/1.44 |
% 3.01/1.44 | Instantiating formula (9) with all_0_0_0, all_0_4_4, all_0_1_1 and discharging atoms subset(all_0_1_1, all_0_4_4), subset(all_0_4_4, all_0_0_0), ~ subset(all_0_1_1, all_0_0_0), yields:
% 3.01/1.44 | (26) $false
% 3.01/1.44 |
% 3.01/1.44 |-The branch is then unsatisfiable
% 3.01/1.44 % SZS output end Proof for theBenchmark
% 3.01/1.44
% 3.01/1.44 849ms
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