TSTP Solution File: SEU149+3 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SEU149+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.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 08:47:00 EDT 2022
% Result : Theorem 1.87s 1.09s
% Output : Proof 2.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SEU149+3 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.10 % Command : ePrincess-casc -timeout=%d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Mon Jun 20 07:04:48 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.16/0.51 ____ _
% 0.16/0.51 ___ / __ \_____(_)___ ________ __________
% 0.16/0.51 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.16/0.51 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.16/0.51 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.16/0.51
% 0.16/0.51 A Theorem Prover for First-Order Logic
% 0.16/0.52 (ePrincess v.1.0)
% 0.16/0.52
% 0.16/0.52 (c) Philipp Rümmer, 2009-2015
% 0.16/0.52 (c) Peter Backeman, 2014-2015
% 0.16/0.52 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.16/0.52 Free software under GNU Lesser General Public License (LGPL).
% 0.16/0.52 Bug reports to peter@backeman.se
% 0.16/0.52
% 0.16/0.52 For more information, visit http://user.uu.se/~petba168/breu/
% 0.16/0.52
% 0.51/0.52 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.54/0.56 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.09/0.79 Prover 0: Preprocessing ...
% 1.43/0.96 Prover 0: Warning: ignoring some quantifiers
% 1.43/0.97 Prover 0: Constructing countermodel ...
% 1.87/1.08 Prover 0: proved (520ms)
% 1.87/1.09
% 1.87/1.09 No countermodel exists, formula is valid
% 1.87/1.09 % SZS status Theorem for theBenchmark
% 1.87/1.09
% 1.87/1.09 Generating proof ... Warning: ignoring some quantifiers
% 2.34/1.23 found it (size 6)
% 2.34/1.23
% 2.34/1.23 % SZS output start Proof for theBenchmark
% 2.34/1.23 Assumed formulas after preprocessing and simplification:
% 2.34/1.23 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v1 = v0) & singleton(v0) = v3 & unordered_pair(v1, v2) = v3 & empty(v5) & ~ empty(v4) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v7 | v9 = v6 | ~ (unordered_pair(v6, v7) = v8) | ~ in(v9, v8)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (unordered_pair(v9, v8) = v7) | ~ (unordered_pair(v9, v8) = v6)) & ? [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v6 | ~ (unordered_pair(v7, v8) = v9) | ? [v10] : ((v10 = v8 | v10 = v7 | in(v10, v6)) & ( ~ in(v10, v6) | ( ~ (v10 = v8) & ~ (v10 = v7))))) & ! [v6] : ! [v7] : ! [v8] : (v8 = v6 | ~ (singleton(v6) = v7) | ~ in(v8, v7)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (singleton(v8) = v7) | ~ (singleton(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (unordered_pair(v7, v6) = v8) | unordered_pair(v6, v7) = v8) & ! [v6] : ! [v7] : ! [v8] : ( ~ (unordered_pair(v6, v7) = v8) | unordered_pair(v7, v6) = v8) & ! [v6] : ! [v7] : ! [v8] : ( ~ (unordered_pair(v6, v7) = v8) | in(v7, v8)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (unordered_pair(v6, v7) = v8) | in(v6, v8)) & ? [v6] : ! [v7] : ! [v8] : (v8 = v6 | ~ (singleton(v7) = v8) | ? [v9] : (( ~ (v9 = v7) | ~ in(v7, v6)) & (v9 = v7 | in(v9, v6)))) & ! [v6] : ! [v7] : ( ~ (singleton(v6) = v7) | in(v6, v7)) & ! [v6] : ! [v7] : ( ~ in(v7, v6) | ~ in(v6, v7)))
% 2.34/1.26 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 yields:
% 2.34/1.26 | (1) ~ (all_0_4_4 = all_0_5_5) & singleton(all_0_5_5) = all_0_2_2 & unordered_pair(all_0_4_4, all_0_3_3) = all_0_2_2 & empty(all_0_0_0) & ~ empty(all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v3 = v0 | ~ (unordered_pair(v0, v1) = v2) | ~ in(v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (unordered_pair(v1, v2) = v3) | ? [v4] : ((v4 = v2 | v4 = v1 | in(v4, v0)) & ( ~ in(v4, v0) | ( ~ (v4 = v2) & ~ (v4 = v1))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v0) = v1) | ~ in(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v1, v0) = v2) | unordered_pair(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | in(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | in(v0, v2)) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v1) = v2) | ? [v3] : (( ~ (v3 = v1) | ~ in(v1, v0)) & (v3 = v1 | in(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | in(v0, v1)) & ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1))
% 2.34/1.27 |
% 2.34/1.27 | Applying alpha-rule on (1) yields:
% 2.34/1.27 | (2) ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | in(v0, v1))
% 2.34/1.27 | (3) ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v1) = v2) | ? [v3] : (( ~ (v3 = v1) | ~ in(v1, v0)) & (v3 = v1 | in(v3, v0))))
% 2.34/1.27 | (4) empty(all_0_0_0)
% 2.34/1.27 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v0) = v1) | ~ in(v2, v1))
% 2.34/1.27 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 2.34/1.27 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | in(v0, v2))
% 2.34/1.27 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0))
% 2.34/1.27 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v3 = v0 | ~ (unordered_pair(v0, v1) = v2) | ~ in(v3, v2))
% 2.34/1.27 | (10) ~ (all_0_4_4 = all_0_5_5)
% 2.34/1.27 | (11) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (unordered_pair(v1, v2) = v3) | ? [v4] : ((v4 = v2 | v4 = v1 | in(v4, v0)) & ( ~ in(v4, v0) | ( ~ (v4 = v2) & ~ (v4 = v1)))))
% 2.34/1.27 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2)
% 2.34/1.27 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v1, v0) = v2) | unordered_pair(v0, v1) = v2)
% 2.34/1.27 | (14) singleton(all_0_5_5) = all_0_2_2
% 2.34/1.28 | (15) unordered_pair(all_0_4_4, all_0_3_3) = all_0_2_2
% 2.34/1.28 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | in(v1, v2))
% 2.34/1.28 | (17) ~ empty(all_0_1_1)
% 2.34/1.28 | (18) ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1))
% 2.34/1.28 |
% 2.49/1.28 | Instantiating formula (7) with all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms unordered_pair(all_0_4_4, all_0_3_3) = all_0_2_2, yields:
% 2.49/1.28 | (19) in(all_0_4_4, all_0_2_2)
% 2.49/1.28 |
% 2.49/1.28 | Instantiating formula (5) with all_0_4_4, all_0_2_2, all_0_5_5 and discharging atoms singleton(all_0_5_5) = all_0_2_2, in(all_0_4_4, all_0_2_2), yields:
% 2.49/1.28 | (20) all_0_4_4 = all_0_5_5
% 2.49/1.28 |
% 2.49/1.28 | Equations (20) can reduce 10 to:
% 2.49/1.28 | (21) $false
% 2.49/1.28 |
% 2.49/1.28 |-The branch is then unsatisfiable
% 2.49/1.28 % SZS output end Proof for theBenchmark
% 2.49/1.28
% 2.49/1.28 753ms
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