TSTP Solution File: PHI009+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% 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 : Mon Jul 18 16:45:11 EDT 2022
% Result : Theorem 1.69s 1.08s
% Output : Proof 2.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n021.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 : Thu Jun 2 01:19:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.61/0.60 ____ _
% 0.61/0.60 ___ / __ \_____(_)___ ________ __________
% 0.61/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.61/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.61/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.61/0.60
% 0.61/0.60 A Theorem Prover for First-Order Logic
% 0.61/0.60 (ePrincess v.1.0)
% 0.61/0.60
% 0.61/0.60 (c) Philipp Rümmer, 2009-2015
% 0.61/0.60 (c) Peter Backeman, 2014-2015
% 0.61/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.61/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.61/0.60 Bug reports to peter@backeman.se
% 0.61/0.60
% 0.61/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.61/0.60
% 0.61/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.67/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.36/0.91 Prover 0: Preprocessing ...
% 1.59/0.99 Prover 0: Constructing countermodel ...
% 1.69/1.08 Prover 0: proved (401ms)
% 1.69/1.08
% 1.69/1.08 No countermodel exists, formula is valid
% 1.69/1.08 % SZS status Theorem for theBenchmark
% 1.69/1.08
% 1.69/1.08 Generating proof ... found it (size 11)
% 2.32/1.24
% 2.32/1.24 % SZS output start Proof for theBenchmark
% 2.32/1.24 Assumed formulas after preprocessing and simplification:
% 2.32/1.24 | (0) ? [v0] : ? [v1] : (exemplifies_property(v0, v1) & object(v1) & property(v0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ exemplifies_property(v3, v5) | ~ exemplifies_property(v2, v5) | ~ object(v5) | ~ object(v4) | ~ property(v3) | ~ property(v2) | exemplifies_property(v3, v4) | ? [v6] : ( ~ (v6 = v5) & exemplifies_property(v2, v6) & object(v6))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ exemplifies_property(v3, v5) | ~ exemplifies_property(v2, v5) | ~ object(v5) | ~ object(v4) | ~ property(v3) | ~ property(v2) | is_the(v4, v2) | ? [v6] : ( ~ (v6 = v5) & exemplifies_property(v2, v6) & object(v6))) & ! [v2] : ! [v3] : ! [v4] : ( ~ exemplifies_property(v3, v4) | ~ is_the(v4, v2) | ~ object(v4) | ~ property(v3) | ~ property(v2) | ? [v5] : (exemplifies_property(v3, v5) & exemplifies_property(v2, v5) & object(v5) & ! [v6] : (v6 = v5 | ~ exemplifies_property(v2, v6) | ~ object(v6)))) & ! [v2] : (v2 = v1 | ~ exemplifies_property(v0, v2) | ~ object(v2)) & ! [v2] : ( ~ is_the(v2, v0) | ~ object(v2)))
% 2.32/1.25 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 2.32/1.25 | (1) exemplifies_property(all_0_1_1, all_0_0_0) & object(all_0_0_0) & property(all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ exemplifies_property(v0, v3) | ~ object(v3) | ~ object(v2) | ~ property(v1) | ~ property(v0) | exemplifies_property(v1, v2) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v0, v4) & object(v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ exemplifies_property(v0, v3) | ~ object(v3) | ~ object(v2) | ~ property(v1) | ~ property(v0) | is_the(v2, v0) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v0, v4) & object(v4))) & ! [v0] : ! [v1] : ! [v2] : ( ~ exemplifies_property(v1, v2) | ~ is_the(v2, v0) | ~ object(v2) | ~ property(v1) | ~ property(v0) | ? [v3] : (exemplifies_property(v1, v3) & exemplifies_property(v0, v3) & object(v3) & ! [v4] : (v4 = v3 | ~ exemplifies_property(v0, v4) | ~ object(v4)))) & ! [v0] : (v0 = all_0_0_0 | ~ exemplifies_property(all_0_1_1, v0) | ~ object(v0)) & ! [v0] : ( ~ is_the(v0, all_0_1_1) | ~ object(v0))
% 2.32/1.26 |
% 2.32/1.26 | Applying alpha-rule on (1) yields:
% 2.32/1.26 | (2) ! [v0] : (v0 = all_0_0_0 | ~ exemplifies_property(all_0_1_1, v0) | ~ object(v0))
% 2.32/1.26 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ exemplifies_property(v0, v3) | ~ object(v3) | ~ object(v2) | ~ property(v1) | ~ property(v0) | is_the(v2, v0) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v0, v4) & object(v4)))
% 2.32/1.26 | (4) exemplifies_property(all_0_1_1, all_0_0_0)
% 2.32/1.26 | (5) ! [v0] : ( ~ is_the(v0, all_0_1_1) | ~ object(v0))
% 2.32/1.26 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ exemplifies_property(v1, v2) | ~ is_the(v2, v0) | ~ object(v2) | ~ property(v1) | ~ property(v0) | ? [v3] : (exemplifies_property(v1, v3) & exemplifies_property(v0, v3) & object(v3) & ! [v4] : (v4 = v3 | ~ exemplifies_property(v0, v4) | ~ object(v4))))
% 2.32/1.26 | (7) property(all_0_1_1)
% 2.32/1.26 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ exemplifies_property(v0, v3) | ~ object(v3) | ~ object(v2) | ~ property(v1) | ~ property(v0) | exemplifies_property(v1, v2) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v0, v4) & object(v4)))
% 2.32/1.26 | (9) object(all_0_0_0)
% 2.32/1.26 |
% 2.32/1.26 | Instantiating formula (3) with all_0_0_0, all_0_0_0, all_0_1_1, all_0_1_1 and discharging atoms exemplifies_property(all_0_1_1, all_0_0_0), object(all_0_0_0), property(all_0_1_1), yields:
% 2.32/1.26 | (10) is_the(all_0_0_0, all_0_1_1) | ? [v0] : ( ~ (v0 = all_0_0_0) & exemplifies_property(all_0_1_1, v0) & object(v0))
% 2.32/1.26 |
% 2.32/1.26 +-Applying beta-rule and splitting (10), into two cases.
% 2.32/1.26 |-Branch one:
% 2.32/1.26 | (11) is_the(all_0_0_0, all_0_1_1)
% 2.32/1.26 |
% 2.32/1.26 | Instantiating formula (5) with all_0_0_0 and discharging atoms is_the(all_0_0_0, all_0_1_1), object(all_0_0_0), yields:
% 2.32/1.26 | (12) $false
% 2.32/1.26 |
% 2.32/1.27 |-The branch is then unsatisfiable
% 2.32/1.27 |-Branch two:
% 2.32/1.27 | (13) ~ is_the(all_0_0_0, all_0_1_1)
% 2.32/1.27 | (14) ? [v0] : ( ~ (v0 = all_0_0_0) & exemplifies_property(all_0_1_1, v0) & object(v0))
% 2.32/1.27 |
% 2.32/1.27 | Instantiating (14) with all_10_0_2 yields:
% 2.32/1.27 | (15) ~ (all_10_0_2 = all_0_0_0) & exemplifies_property(all_0_1_1, all_10_0_2) & object(all_10_0_2)
% 2.32/1.27 |
% 2.32/1.27 | Applying alpha-rule on (15) yields:
% 2.32/1.27 | (16) ~ (all_10_0_2 = all_0_0_0)
% 2.32/1.27 | (17) exemplifies_property(all_0_1_1, all_10_0_2)
% 2.32/1.27 | (18) object(all_10_0_2)
% 2.32/1.27 |
% 2.32/1.27 | Instantiating formula (2) with all_10_0_2 and discharging atoms exemplifies_property(all_0_1_1, all_10_0_2), object(all_10_0_2), yields:
% 2.32/1.27 | (19) all_10_0_2 = all_0_0_0
% 2.32/1.27 |
% 2.32/1.27 | Equations (19) can reduce 16 to:
% 2.32/1.27 | (20) $false
% 2.32/1.27 |
% 2.32/1.27 |-The branch is then unsatisfiable
% 2.32/1.27 % SZS output end Proof for theBenchmark
% 2.32/1.27
% 2.32/1.27 651ms
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