TSTP Solution File: PHI010+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : PHI010+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n018.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 : Mon Jul 18 16:45:11 EDT 2022
% Result : Theorem 1.91s 1.13s
% Output : Proof 2.65s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : PHI010+1 : TPTP v8.1.0. Released v7.2.0.
% 0.08/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.36 % Computer : n018.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Thu Jun 2 00:59:44 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.60/0.63 ____ _
% 0.60/0.63 ___ / __ \_____(_)___ ________ __________
% 0.60/0.63 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.60/0.63 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.60/0.63 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.60/0.63
% 0.60/0.63 A Theorem Prover for First-Order Logic
% 0.60/0.63 (ePrincess v.1.0)
% 0.60/0.63
% 0.60/0.63 (c) Philipp Rümmer, 2009-2015
% 0.60/0.63 (c) Peter Backeman, 2014-2015
% 0.60/0.63 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.60/0.63 Free software under GNU Lesser General Public License (LGPL).
% 0.60/0.63 Bug reports to peter@backeman.se
% 0.60/0.63
% 0.60/0.63 For more information, visit http://user.uu.se/~petba168/breu/
% 0.60/0.63
% 0.60/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.68/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.53/0.93 Prover 0: Preprocessing ...
% 1.76/1.06 Prover 0: Constructing countermodel ...
% 1.91/1.13 Prover 0: proved (456ms)
% 1.91/1.13
% 1.91/1.13 No countermodel exists, formula is valid
% 1.91/1.13 % SZS status Theorem for theBenchmark
% 1.91/1.13
% 1.91/1.13 Generating proof ... found it (size 6)
% 2.41/1.28
% 2.41/1.28 % SZS output start Proof for theBenchmark
% 2.41/1.28 Assumed formulas after preprocessing and simplification:
% 2.41/1.28 | (0) ? [v0] : ? [v1] : (is_the(v0, v1) & property(v1) & object(v0) & ~ exemplifies_property(v1, v0) & ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ exemplifies_property(v2, v4) | ~ property(v2) | ~ object(v4) | ~ object(v3) | ? [v5] : ( ~ (v5 = v4) & exemplifies_property(v2, v5) & object(v5))) & ! [v2] : ! [v3] : ! [v4] : ( ~ exemplifies_property(v2, v4) | ~ property(v2) | ~ object(v4) | ~ object(v3) | is_the(v3, v2) | ? [v5] : ( ~ (v5 = v4) & exemplifies_property(v2, v5) & object(v5))) & ! [v2] : ! [v3] : ( ~ is_the(v3, v2) | ~ property(v2) | ~ object(v3) | (exemplifies_property(v2, v3) & ! [v4] : (v4 = v3 | ~ exemplifies_property(v2, v4) | ~ object(v4)))) & ! [v2] : ! [v3] : ( ~ is_the(v2, v3) | property(v3)) & ! [v2] : ! [v3] : ( ~ is_the(v2, v3) | object(v2)) & ! [v2] : ! [v3] : ( ~ exemplifies_property(v3, v2) | property(v3)) & ! [v2] : ! [v3] : ( ~ exemplifies_property(v3, v2) | object(v2)) & ! [v2] : ( ~ property(v2) | ~ object(v2)))
% 2.41/1.29 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 2.41/1.29 | (1) is_the(all_0_1_1, all_0_0_0) & property(all_0_0_0) & object(all_0_1_1) & ~ exemplifies_property(all_0_0_0, all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ exemplifies_property(v0, v2) | ~ property(v0) | ~ object(v2) | ~ object(v1) | ? [v3] : ( ~ (v3 = v2) & exemplifies_property(v0, v3) & object(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ exemplifies_property(v0, v2) | ~ property(v0) | ~ object(v2) | ~ object(v1) | is_the(v1, v0) | ? [v3] : ( ~ (v3 = v2) & exemplifies_property(v0, v3) & object(v3))) & ! [v0] : ! [v1] : ( ~ is_the(v1, v0) | ~ property(v0) | ~ object(v1) | (exemplifies_property(v0, v1) & ! [v2] : (v2 = v1 | ~ exemplifies_property(v0, v2) | ~ object(v2)))) & ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | property(v1)) & ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | object(v0)) & ! [v0] : ! [v1] : ( ~ exemplifies_property(v1, v0) | property(v1)) & ! [v0] : ! [v1] : ( ~ exemplifies_property(v1, v0) | object(v0)) & ! [v0] : ( ~ property(v0) | ~ object(v0))
% 2.41/1.30 |
% 2.41/1.30 | Applying alpha-rule on (1) yields:
% 2.41/1.30 | (2) ~ exemplifies_property(all_0_0_0, all_0_1_1)
% 2.41/1.30 | (3) ! [v0] : ( ~ property(v0) | ~ object(v0))
% 2.41/1.30 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ exemplifies_property(v0, v2) | ~ property(v0) | ~ object(v2) | ~ object(v1) | is_the(v1, v0) | ? [v3] : ( ~ (v3 = v2) & exemplifies_property(v0, v3) & object(v3)))
% 2.41/1.30 | (5) property(all_0_0_0)
% 2.41/1.30 | (6) object(all_0_1_1)
% 2.41/1.30 | (7) is_the(all_0_1_1, all_0_0_0)
% 2.41/1.30 | (8) ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | object(v0))
% 2.41/1.30 | (9) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ exemplifies_property(v0, v2) | ~ property(v0) | ~ object(v2) | ~ object(v1) | ? [v3] : ( ~ (v3 = v2) & exemplifies_property(v0, v3) & object(v3)))
% 2.41/1.30 | (10) ! [v0] : ! [v1] : ( ~ exemplifies_property(v1, v0) | property(v1))
% 2.41/1.30 | (11) ! [v0] : ! [v1] : ( ~ is_the(v1, v0) | ~ property(v0) | ~ object(v1) | (exemplifies_property(v0, v1) & ! [v2] : (v2 = v1 | ~ exemplifies_property(v0, v2) | ~ object(v2))))
% 2.41/1.30 | (12) ! [v0] : ! [v1] : ( ~ exemplifies_property(v1, v0) | object(v0))
% 2.41/1.30 | (13) ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | property(v1))
% 2.41/1.30 |
% 2.41/1.30 | Instantiating formula (11) with all_0_1_1, all_0_0_0 and discharging atoms is_the(all_0_1_1, all_0_0_0), property(all_0_0_0), object(all_0_1_1), yields:
% 2.41/1.31 | (14) exemplifies_property(all_0_0_0, all_0_1_1) & ! [v0] : (v0 = all_0_1_1 | ~ exemplifies_property(all_0_0_0, v0) | ~ object(v0))
% 2.41/1.31 |
% 2.41/1.31 | Applying alpha-rule on (14) yields:
% 2.41/1.31 | (15) exemplifies_property(all_0_0_0, all_0_1_1)
% 2.41/1.31 | (16) ! [v0] : (v0 = all_0_1_1 | ~ exemplifies_property(all_0_0_0, v0) | ~ object(v0))
% 2.41/1.31 |
% 2.41/1.31 | Using (15) and (2) yields:
% 2.41/1.31 | (17) $false
% 2.41/1.31 |
% 2.65/1.31 |-The branch is then unsatisfiable
% 2.65/1.31 % SZS output end Proof for theBenchmark
% 2.65/1.31
% 2.65/1.31 671ms
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