TSTP Solution File: PHI013+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : PHI013+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.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 2.12s 1.15s
% Output : Proof 2.68s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PHI013+1 : TPTP v8.1.0. Released v7.2.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n028.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 01:08:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.55/0.58 ____ _
% 0.55/0.58 ___ / __ \_____(_)___ ________ __________
% 0.55/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.55/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.55/0.58
% 0.55/0.58 A Theorem Prover for First-Order Logic
% 0.55/0.58 (ePrincess v.1.0)
% 0.55/0.58
% 0.55/0.58 (c) Philipp Rümmer, 2009-2015
% 0.55/0.59 (c) Peter Backeman, 2014-2015
% 0.55/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.59 Bug reports to peter@backeman.se
% 0.55/0.59
% 0.55/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.59
% 0.55/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.77/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.41/0.92 Prover 0: Preprocessing ...
% 1.76/1.04 Prover 0: Constructing countermodel ...
% 2.12/1.15 Prover 0: proved (515ms)
% 2.12/1.15
% 2.12/1.15 No countermodel exists, formula is valid
% 2.12/1.15 % SZS status Theorem for theBenchmark
% 2.12/1.15
% 2.12/1.15 Generating proof ... found it (size 10)
% 2.68/1.32
% 2.68/1.32 % SZS output start Proof for theBenchmark
% 2.68/1.32 Assumed formulas after preprocessing and simplification:
% 2.68/1.32 | (0) ? [v0] : ? [v1] : (is_the(god, none_greater) & exemplifies_property(none_greater, v1) & object(v1) & ~ exemplifies_property(existence, god) & ! [v2] : ! [v3] : ! [v4] : ( ~ is_the(v4, v2) | ~ is_the(v3, v2) | ~ object(v4) | ~ object(v3) | ~ property(v2) | exemplifies_property(v2, v3)) & ! [v2] : ! [v3] : ( ~ exemplifies_relation(greater_than, v3, v2) | ~ exemplifies_property(conceivable, v3) | ~ exemplifies_property(none_greater, v2) | ~ object(v3) | ~ object(v2)) & ! [v2] : ! [v3] : ( ~ is_the(v2, v3) | object(v2)) & ! [v2] : ! [v3] : ( ~ is_the(v2, v3) | property(v3)) & ! [v2] : ! [v3] : ( ~ exemplifies_property(v2, v3) | ~ object(v3) | ~ property(v2) | ? [v4] : (( ~ (v4 = v3) & exemplifies_property(v2, v4) & object(v4)) | (is_the(v4, v2) & object(v4)))) & ! [v2] : ( ~ is_the(v2, none_greater) | ~ object(v2) | exemplifies_property(existence, v2) | ? [v3] : (exemplifies_relation(greater_than, v3, v2) & exemplifies_property(conceivable, v3) & object(v3))) & ! [v2] : ( ~ exemplifies_property(conceivable, v2) | ~ object(v2) | exemplifies_property(none_greater, v2) | ? [v3] : (exemplifies_relation(greater_than, v3, v2) & exemplifies_property(conceivable, v3) & object(v3))) & ! [v2] : ( ~ exemplifies_property(none_greater, v2) | ~ object(v2) | exemplifies_property(conceivable, v2)) & ( ! [v2] : ( ~ exemplifies_property(none_greater, v2) | ~ object(v2)) | (exemplifies_property(none_greater, v0) & object(v0) & ! [v2] : (v2 = v0 | ~ exemplifies_property(none_greater, v2) | ~ object(v2)))))
% 2.68/1.33 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 2.68/1.33 | (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] : ( ~ is_the(v2, v0) | ~ is_the(v1, v0) | ~ object(v2) | ~ object(v1) | ~ property(v0) | exemplifies_property(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(v0, v1) | object(v0)) & ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | property(v1)) & ! [v0] : ! [v1] : ( ~ exemplifies_property(v0, v1) | ~ object(v1) | ~ property(v0) | ? [v2] : (( ~ (v2 = v1) & exemplifies_property(v0, v2) & object(v2)) | (is_the(v2, v0) & object(v2)))) & ! [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] : ( ~ exemplifies_property(none_greater, v0) | ~ object(v0)) | (exemplifies_property(none_greater, all_0_1_1) & object(all_0_1_1) & ! [v0] : (v0 = all_0_1_1 | ~ exemplifies_property(none_greater, v0) | ~ object(v0))))
% 2.68/1.34 |
% 2.68/1.34 | Applying alpha-rule on (1) yields:
% 2.68/1.34 | (2) ! [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)))
% 2.68/1.34 | (3) ! [v0] : ( ~ exemplifies_property(none_greater, v0) | ~ object(v0) | exemplifies_property(conceivable, v0))
% 2.68/1.34 | (4) ~ exemplifies_property(existence, god)
% 2.68/1.34 | (5) ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | object(v0))
% 2.68/1.34 | (6) ! [v0] : ! [v1] : ( ~ exemplifies_property(v0, v1) | ~ object(v1) | ~ property(v0) | ? [v2] : (( ~ (v2 = v1) & exemplifies_property(v0, v2) & object(v2)) | (is_the(v2, v0) & object(v2))))
% 2.68/1.34 | (7) ! [v0] : ! [v1] : ( ~ exemplifies_relation(greater_than, v1, v0) | ~ exemplifies_property(conceivable, v1) | ~ exemplifies_property(none_greater, v0) | ~ object(v1) | ~ object(v0))
% 2.68/1.34 | (8) ! [v0] : ( ~ exemplifies_property(none_greater, v0) | ~ object(v0)) | (exemplifies_property(none_greater, all_0_1_1) & object(all_0_1_1) & ! [v0] : (v0 = all_0_1_1 | ~ exemplifies_property(none_greater, v0) | ~ object(v0)))
% 2.68/1.34 | (9) ! [v0] : ! [v1] : ( ~ is_the(v0, v1) | property(v1))
% 2.68/1.34 | (10) ! [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)))
% 2.68/1.34 | (11) object(all_0_0_0)
% 2.68/1.34 | (12) exemplifies_property(none_greater, all_0_0_0)
% 2.68/1.34 | (13) is_the(god, none_greater)
% 2.68/1.34 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ is_the(v2, v0) | ~ is_the(v1, v0) | ~ object(v2) | ~ object(v1) | ~ property(v0) | exemplifies_property(v0, v1))
% 2.68/1.34 |
% 2.68/1.34 | Instantiating formula (5) with none_greater, god and discharging atoms is_the(god, none_greater), yields:
% 2.68/1.34 | (15) object(god)
% 2.68/1.34 |
% 2.68/1.35 | Instantiating formula (9) with none_greater, god and discharging atoms is_the(god, none_greater), yields:
% 2.68/1.35 | (16) property(none_greater)
% 2.68/1.35 |
% 2.68/1.35 | Instantiating formula (10) with god and discharging atoms is_the(god, none_greater), object(god), ~ exemplifies_property(existence, god), yields:
% 2.68/1.35 | (17) ? [v0] : (exemplifies_relation(greater_than, v0, god) & exemplifies_property(conceivable, v0) & object(v0))
% 2.68/1.35 |
% 2.68/1.35 | Instantiating formula (14) with god, god, none_greater and discharging atoms is_the(god, none_greater), object(god), property(none_greater), yields:
% 2.68/1.35 | (18) exemplifies_property(none_greater, god)
% 2.68/1.35 |
% 2.68/1.35 | Instantiating (17) with all_15_0_2 yields:
% 2.68/1.35 | (19) exemplifies_relation(greater_than, all_15_0_2, god) & exemplifies_property(conceivable, all_15_0_2) & object(all_15_0_2)
% 2.68/1.35 |
% 2.68/1.35 | Applying alpha-rule on (19) yields:
% 2.68/1.35 | (20) exemplifies_relation(greater_than, all_15_0_2, god)
% 2.68/1.35 | (21) exemplifies_property(conceivable, all_15_0_2)
% 2.68/1.35 | (22) object(all_15_0_2)
% 2.68/1.35 |
% 2.68/1.35 | Instantiating formula (7) with all_15_0_2, god and discharging atoms exemplifies_relation(greater_than, all_15_0_2, god), exemplifies_property(conceivable, all_15_0_2), exemplifies_property(none_greater, god), object(all_15_0_2), object(god), yields:
% 2.68/1.35 | (23) $false
% 2.68/1.35 |
% 2.68/1.35 |-The branch is then unsatisfiable
% 2.68/1.35 % SZS output end Proof for theBenchmark
% 2.68/1.35
% 2.68/1.35 755ms
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