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ePrincess---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : PHI011+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n020.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 1.64s 1.08s
% Output   : Proof 2.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : PHI011+1 : TPTP v8.1.0. Released v7.2.0.
% 0.04/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  2 00:56:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.49/0.60          ____       _                          
% 0.49/0.60    ___  / __ \_____(_)___  ________  __________
% 0.49/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.49/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.49/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.49/0.60  
% 0.49/0.60  A Theorem Prover for First-Order Logic
% 0.49/0.60  (ePrincess v.1.0)
% 0.49/0.60  
% 0.49/0.60  (c) Philipp Rümmer, 2009-2015
% 0.49/0.60  (c) Peter Backeman, 2014-2015
% 0.49/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.49/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.49/0.60  Bug reports to peter@backeman.se
% 0.49/0.60  
% 0.49/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.49/0.60  
% 0.49/0.60  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.66/0.65  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.27/0.92  Prover 0: Preprocessing ...
% 1.52/1.01  Prover 0: Constructing countermodel ...
% 1.64/1.08  Prover 0: proved (424ms)
% 1.64/1.08  
% 1.64/1.08  No countermodel exists, formula is valid
% 1.64/1.08  % SZS status Theorem for theBenchmark
% 1.64/1.08  
% 1.64/1.08  Generating proof ... found it (size 4)
% 2.16/1.17  
% 2.16/1.17  % SZS output start Proof for theBenchmark
% 2.16/1.17  Assumed formulas after preprocessing and simplification: 
% 2.16/1.17  | (0)  ? [v0] :  ? [v1] :  ? [v2] : (is_the(v2, v0) & is_the(v1, v0) & property(v0) & object(v2) & object(v1) &  ~ exemplifies_property(v0, v1) &  ! [v3] :  ! [v4] : ( ~ is_the(v3, v4) |  ~ property(v4) |  ~ object(v3) | exemplifies_property(v4, v3)) &  ! [v3] :  ! [v4] : ( ~ is_the(v3, v4) | property(v4)) &  ! [v3] :  ! [v4] : ( ~ is_the(v3, v4) | object(v3)) &  ! [v3] :  ! [v4] : ( ~ exemplifies_property(v4, v3) | property(v4)) &  ! [v3] :  ! [v4] : ( ~ exemplifies_property(v4, v3) | object(v3)) &  ! [v3] : ( ~ property(v3) |  ~ object(v3)))
% 2.16/1.18  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 2.16/1.18  | (1) is_the(all_0_0_0, all_0_2_2) & is_the(all_0_1_1, all_0_2_2) & property(all_0_2_2) & object(all_0_0_0) & object(all_0_1_1) &  ~ exemplifies_property(all_0_2_2, all_0_1_1) &  ! [v0] :  ! [v1] : ( ~ is_the(v0, v1) |  ~ property(v1) |  ~ object(v0) | exemplifies_property(v1, v0)) &  ! [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))
% 2.16/1.19  |
% 2.16/1.19  | Applying alpha-rule on (1) yields:
% 2.16/1.19  | (2)  ! [v0] :  ! [v1] : ( ~ is_the(v0, v1) | object(v0))
% 2.16/1.19  | (3)  ! [v0] :  ! [v1] : ( ~ exemplifies_property(v1, v0) | property(v1))
% 2.16/1.19  | (4) property(all_0_2_2)
% 2.16/1.19  | (5)  ! [v0] :  ! [v1] : ( ~ is_the(v0, v1) |  ~ property(v1) |  ~ object(v0) | exemplifies_property(v1, v0))
% 2.16/1.19  | (6)  ~ exemplifies_property(all_0_2_2, all_0_1_1)
% 2.16/1.19  | (7)  ! [v0] :  ! [v1] : ( ~ is_the(v0, v1) | property(v1))
% 2.16/1.19  | (8) object(all_0_0_0)
% 2.16/1.19  | (9) is_the(all_0_0_0, all_0_2_2)
% 2.16/1.19  | (10)  ! [v0] : ( ~ property(v0) |  ~ object(v0))
% 2.16/1.19  | (11)  ! [v0] :  ! [v1] : ( ~ exemplifies_property(v1, v0) | object(v0))
% 2.16/1.19  | (12) is_the(all_0_1_1, all_0_2_2)
% 2.16/1.19  | (13) object(all_0_1_1)
% 2.16/1.19  |
% 2.16/1.19  | Instantiating formula (5) with all_0_2_2, all_0_1_1 and discharging atoms is_the(all_0_1_1, all_0_2_2), property(all_0_2_2), object(all_0_1_1),  ~ exemplifies_property(all_0_2_2, all_0_1_1), yields:
% 2.16/1.20  | (14) $false
% 2.16/1.20  |
% 2.16/1.20  |-The branch is then unsatisfiable
% 2.16/1.20  % SZS output end Proof for theBenchmark
% 2.16/1.20  
% 2.16/1.20  584ms
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