TSTP Solution File: PHI015+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : PHI015+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.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 2.50s 1.24s
% Output : Proof 3.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PHI015+1 : TPTP v8.1.0. Released v7.2.0.
% 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 2 01:21:16 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.61/0.58 ____ _
% 0.61/0.58 ___ / __ \_____(_)___ ________ __________
% 0.61/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.61/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.61/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.61/0.58
% 0.61/0.58 A Theorem Prover for First-Order Logic
% 0.61/0.58 (ePrincess v.1.0)
% 0.61/0.58
% 0.61/0.58 (c) Philipp Rümmer, 2009-2015
% 0.61/0.58 (c) Peter Backeman, 2014-2015
% 0.61/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.61/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.61/0.58 Bug reports to peter@backeman.se
% 0.61/0.58
% 0.61/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.61/0.58
% 0.61/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.77/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.57/0.94 Prover 0: Preprocessing ...
% 1.96/1.10 Prover 0: Constructing countermodel ...
% 2.50/1.24 Prover 0: proved (607ms)
% 2.50/1.24
% 2.50/1.24 No countermodel exists, formula is valid
% 2.50/1.24 % SZS status Theorem for theBenchmark
% 2.50/1.24
% 2.50/1.24 Generating proof ... found it (size 14)
% 3.04/1.45
% 3.04/1.45 % SZS output start Proof for theBenchmark
% 3.04/1.45 Assumed formulas after preprocessing and simplification:
% 3.04/1.45 | (0) ? [v0] : (is_the(god, none_greater) & exemplifies_property(none_greater, v0) & object(v0) & ~ exemplifies_property(existence, god) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ exemplifies_property(v2, v4) | ~ exemplifies_property(v1, v4) | ~ property(v2) | ~ property(v1) | ~ object(v4) | ~ object(v3) | is_the(v3, v1) | ? [v5] : ( ~ (v5 = v4) & exemplifies_property(v1, v5) & object(v5))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ exemplifies_property(v2, v4) | ~ exemplifies_property(v1, v4) | ~ property(v2) | ~ property(v1) | ~ object(v4) | ~ object(v3) | exemplifies_property(v2, v3) | ? [v5] : ( ~ (v5 = v4) & exemplifies_property(v1, v5) & object(v5))) & ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ exemplifies_property(v1, v3) | ~ property(v1) | ~ object(v3) | ~ object(v2) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v1, v4) & object(v4))) & ! [v1] : ! [v2] : ! [v3] : ( ~ is_the(v3, v1) | ~ exemplifies_property(v2, v3) | ~ property(v2) | ~ property(v1) | ~ object(v3) | ? [v4] : (exemplifies_property(v2, v4) & exemplifies_property(v1, v4) & object(v4) & ! [v5] : (v5 = v4 | ~ exemplifies_property(v1, v5) | ~ object(v5)))) & ! [v1] : ! [v2] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ property(v1) | ~ object(v3) | ~ object(v2) | is_the(v2, v1) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v1, v4) & object(v4))) & ! [v1] : ! [v2] : (v2 = v1 | ~ object(v2) | ~ object(v1) | exemplifies_relation(greater_than, v2, v1) | exemplifies_relation(greater_than, v1, v2)) & ! [v1] : ! [v2] : ( ~ exemplifies_relation(greater_than, v2, v1) | ~ exemplifies_property(conceivable, v2) | ~ exemplifies_property(none_greater, v1) | ~ object(v2) | ~ object(v1)) & ! [v1] : ! [v2] : ( ~ is_the(v2, v1) | ~ property(v1) | ~ object(v2) | (exemplifies_property(v1, v2) & ! [v3] : (v3 = v2 | ~ exemplifies_property(v1, v3) | ~ object(v3)))) & ! [v1] : ! [v2] : ( ~ is_the(v1, v2) | property(v2)) & ! [v1] : ! [v2] : ( ~ is_the(v1, v2) | object(v1)) & ! [v1] : ! [v2] : ( ~ exemplifies_property(v2, v1) | property(v2)) & ! [v1] : ! [v2] : ( ~ exemplifies_property(v2, v1) | object(v1)) & ! [v1] : ( ~ is_the(v1, none_greater) | ~ object(v1) | exemplifies_property(existence, v1) | ? [v2] : (exemplifies_relation(greater_than, v2, v1) & exemplifies_property(conceivable, v2) & object(v2))) & ! [v1] : ( ~ exemplifies_property(conceivable, v1) | ~ object(v1) | exemplifies_property(none_greater, v1) | ? [v2] : (exemplifies_relation(greater_than, v2, v1) & exemplifies_property(conceivable, v2) & object(v2))) & ! [v1] : ( ~ exemplifies_property(none_greater, v1) | ~ object(v1) | exemplifies_property(conceivable, v1)) & ! [v1] : ( ~ property(v1) | ~ object(v1)))
% 3.27/1.47 | Instantiating (0) with all_0_0_0 yields:
% 3.27/1.47 | (1) is_the(god, none_greater) & exemplifies_property(none_greater, all_0_0_0) & object(all_0_0_0) & ~ exemplifies_property(existence, god) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ exemplifies_property(v0, v3) | ~ property(v1) | ~ property(v0) | ~ object(v3) | ~ object(v2) | is_the(v2, v0) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v0, v4) & object(v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ exemplifies_property(v0, v3) | ~ property(v1) | ~ property(v0) | ~ object(v3) | ~ object(v2) | exemplifies_property(v1, v2) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v0, v4) & object(v4))) & ! [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] : ( ~ is_the(v2, v0) | ~ exemplifies_property(v1, v2) | ~ property(v1) | ~ property(v0) | ~ object(v2) | ? [v3] : (exemplifies_property(v1, v3) & exemplifies_property(v0, v3) & object(v3) & ! [v4] : (v4 = v3 | ~ exemplifies_property(v0, v4) | ~ object(v4)))) & ! [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] : (v1 = v0 | ~ object(v1) | ~ object(v0) | exemplifies_relation(greater_than, v1, v0) | exemplifies_relation(greater_than, v0, v1)) & ! [v0] : ! [v1] : ( ~ exemplifies_relation(greater_than, v1, v0) | ~ exemplifies_property(conceivable, v1) | ~ exemplifies_property(none_greater, v0) | ~ object(v1) | ~ object(v0)) & ! [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] : ( ~ is_the(v0, none_greater) | ~ object(v0) | exemplifies_property(existence, v0) | ? [v1] : (exemplifies_relation(greater_than, v1, v0) & exemplifies_property(conceivable, v1) & object(v1))) & ! [v0] : ( ~ exemplifies_property(conceivable, v0) | ~ object(v0) | exemplifies_property(none_greater, v0) | ? [v1] : (exemplifies_relation(greater_than, v1, v0) & exemplifies_property(conceivable, v1) & object(v1))) & ! [v0] : ( ~ exemplifies_property(none_greater, v0) | ~ object(v0) | exemplifies_property(conceivable, v0)) & ! [v0] : ( ~ property(v0) | ~ object(v0))
% 3.27/1.48 |
% 3.27/1.48 | Applying alpha-rule on (1) yields:
% 3.27/1.48 | (2) ! [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)))
% 3.32/1.48 | (3) ! [v0] : ! [v1] : ( ~ exemplifies_property(v1, v0) | property(v1))
% 3.32/1.48 | (4) ! [v0] : ! [v1] : ( ~ exemplifies_relation(greater_than, v1, v0) | ~ exemplifies_property(conceivable, v1) | ~ exemplifies_property(none_greater, v0) | ~ object(v1) | ~ object(v0))
% 3.32/1.48 | (5) ! [v0] : ( ~ exemplifies_property(conceivable, v0) | ~ object(v0) | exemplifies_property(none_greater, v0) | ? [v1] : (exemplifies_relation(greater_than, v1, v0) & exemplifies_property(conceivable, v1) & object(v1)))
% 3.32/1.48 | (6) ! [v0] : ! [v1] : (v1 = v0 | ~ object(v1) | ~ object(v0) | exemplifies_relation(greater_than, v1, v0) | exemplifies_relation(greater_than, v0, v1))
% 3.32/1.48 | (7) ! [v0] : ( ~ property(v0) | ~ object(v0))
% 3.32/1.48 | (8) ! [v0] : ! [v1] : ( ~ is_the(v1, v0) | ~ property(v0) | ~ object(v1) | (exemplifies_property(v0, v1) & ! [v2] : (v2 = v1 | ~ exemplifies_property(v0, v2) | ~ object(v2))))
% 3.32/1.48 | (9) object(all_0_0_0)
% 3.32/1.48 | (10) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ exemplifies_property(v0, v2) | ~ property(v0) | ~ object(v2) | ~ object(v1) | ? [v3] : ( ~ (v3 = v2) & exemplifies_property(v0, v3) & object(v3)))
% 3.32/1.48 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ is_the(v2, v0) | ~ exemplifies_property(v1, v2) | ~ property(v1) | ~ property(v0) | ~ object(v2) | ? [v3] : (exemplifies_property(v1, v3) & exemplifies_property(v0, v3) & object(v3) & ! [v4] : (v4 = v3 | ~ exemplifies_property(v0, v4) | ~ object(v4))))
% 3.32/1.48 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ exemplifies_property(v0, v3) | ~ property(v1) | ~ property(v0) | ~ object(v3) | ~ object(v2) | exemplifies_property(v1, v2) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v0, v4) & object(v4)))
% 3.32/1.48 | (13) ~ exemplifies_property(existence, god)
% 3.32/1.48 | (14) ! [v0] : ( ~ is_the(v0, none_greater) | ~ object(v0) | exemplifies_property(existence, v0) | ? [v1] : (exemplifies_relation(greater_than, v1, v0) & exemplifies_property(conceivable, v1) & object(v1)))
% 3.32/1.48 | (15) is_the(god, none_greater)
% 3.32/1.48 | (16) ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | object(v0))
% 3.32/1.48 | (17) ! [v0] : ! [v1] : ( ~ exemplifies_property(v1, v0) | object(v0))
% 3.32/1.48 | (18) ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | property(v1))
% 3.32/1.48 | (19) exemplifies_property(none_greater, all_0_0_0)
% 3.32/1.49 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ exemplifies_property(v1, v3) | ~ exemplifies_property(v0, v3) | ~ property(v1) | ~ property(v0) | ~ object(v3) | ~ object(v2) | is_the(v2, v0) | ? [v4] : ( ~ (v4 = v3) & exemplifies_property(v0, v4) & object(v4)))
% 3.32/1.49 | (21) ! [v0] : ( ~ exemplifies_property(none_greater, v0) | ~ object(v0) | exemplifies_property(conceivable, v0))
% 3.32/1.49 |
% 3.32/1.49 | Instantiating formula (16) with none_greater, god and discharging atoms is_the(god, none_greater), yields:
% 3.32/1.49 | (22) object(god)
% 3.32/1.49 |
% 3.32/1.49 | Instantiating formula (3) with none_greater, all_0_0_0 and discharging atoms exemplifies_property(none_greater, all_0_0_0), yields:
% 3.32/1.49 | (23) property(none_greater)
% 3.32/1.49 |
% 3.32/1.49 | Instantiating formula (8) with god, none_greater and discharging atoms is_the(god, none_greater), property(none_greater), object(god), yields:
% 3.32/1.49 | (24) exemplifies_property(none_greater, god) & ! [v0] : (v0 = god | ~ exemplifies_property(none_greater, v0) | ~ object(v0))
% 3.32/1.49 |
% 3.32/1.49 | Applying alpha-rule on (24) yields:
% 3.32/1.49 | (25) exemplifies_property(none_greater, god)
% 3.32/1.49 | (26) ! [v0] : (v0 = god | ~ exemplifies_property(none_greater, v0) | ~ object(v0))
% 3.32/1.49 |
% 3.32/1.49 | Instantiating formula (14) with god and discharging atoms is_the(god, none_greater), object(god), ~ exemplifies_property(existence, god), yields:
% 3.32/1.49 | (27) ? [v0] : (exemplifies_relation(greater_than, v0, god) & exemplifies_property(conceivable, v0) & object(v0))
% 3.32/1.49 |
% 3.32/1.49 | Instantiating formula (26) with all_0_0_0 and discharging atoms exemplifies_property(none_greater, all_0_0_0), object(all_0_0_0), yields:
% 3.32/1.49 | (28) all_0_0_0 = god
% 3.32/1.49 |
% 3.32/1.49 | Instantiating (27) with all_17_0_1 yields:
% 3.32/1.49 | (29) exemplifies_relation(greater_than, all_17_0_1, god) & exemplifies_property(conceivable, all_17_0_1) & object(all_17_0_1)
% 3.32/1.49 |
% 3.32/1.49 | Applying alpha-rule on (29) yields:
% 3.32/1.49 | (30) exemplifies_relation(greater_than, all_17_0_1, god)
% 3.32/1.49 | (31) exemplifies_property(conceivable, all_17_0_1)
% 3.32/1.49 | (32) object(all_17_0_1)
% 3.32/1.49 |
% 3.32/1.49 | From (28) and (19) follows:
% 3.32/1.49 | (25) exemplifies_property(none_greater, god)
% 3.32/1.49 |
% 3.32/1.49 | From (28) and (9) follows:
% 3.32/1.49 | (22) object(god)
% 3.32/1.49 |
% 3.32/1.49 | Instantiating formula (4) with all_17_0_1, god and discharging atoms exemplifies_relation(greater_than, all_17_0_1, god), exemplifies_property(conceivable, all_17_0_1), exemplifies_property(none_greater, god), object(all_17_0_1), object(god), yields:
% 3.32/1.49 | (35) $false
% 3.32/1.49 |
% 3.32/1.49 |-The branch is then unsatisfiable
% 3.32/1.49 % SZS output end Proof for theBenchmark
% 3.32/1.49
% 3.32/1.49 903ms
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