TSTP Solution File: MGT017+1 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : MGT017+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n026.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 : Sun Jul 17 22:06:58 EDT 2022

% Result   : Theorem 2.06s 1.11s
% Output   : Proof 2.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : MGT017+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.11/0.33  % Computer : n026.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Thu Jun  9 08:27:02 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.19/0.58          ____       _                          
% 0.19/0.58    ___  / __ \_____(_)___  ________  __________
% 0.19/0.58   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.58  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.19/0.58  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.19/0.58  
% 0.19/0.58  A Theorem Prover for First-Order Logic
% 0.19/0.58  (ePrincess v.1.0)
% 0.19/0.58  
% 0.19/0.58  (c) Philipp Rümmer, 2009-2015
% 0.19/0.58  (c) Peter Backeman, 2014-2015
% 0.19/0.58  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.58  Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.58  Bug reports to peter@backeman.se
% 0.19/0.58  
% 0.19/0.58  For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.58  
% 0.19/0.58  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.66/0.62  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.43/0.89  Prover 0: Preprocessing ...
% 1.58/1.00  Prover 0: Constructing countermodel ...
% 2.06/1.11  Prover 0: proved (483ms)
% 2.06/1.11  
% 2.06/1.11  No countermodel exists, formula is valid
% 2.06/1.11  % SZS status Theorem for theBenchmark
% 2.06/1.11  
% 2.06/1.11  Generating proof ... found it (size 9)
% 2.66/1.25  
% 2.66/1.25  % SZS output start Proof for theBenchmark
% 2.66/1.25  Assumed formulas after preprocessing and simplification: 
% 2.66/1.25  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (reorganization_type(v1, v2, v6) & reorganization_type(v0, v2, v6) & reorganization(v1, v6, v8) & reorganization(v0, v6, v7) & greater(v5, v4) & size(v1, v5, v6) & size(v0, v4, v6) & class(v1, v3, v6) & class(v0, v3, v6) & organization(v1, v8) & organization(v1, v6) & organization(v0, v6) &  ~ greater(v8, v7) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ reorganization_type(v10, v11, v15) |  ~ reorganization_type(v9, v11, v15) |  ~ reorganization(v10, v15, v17) |  ~ reorganization(v9, v15, v16) |  ~ greater(v14, v13) |  ~ class(v10, v12, v15) |  ~ class(v9, v12, v15) |  ~ inertia(v10, v14, v15) |  ~ inertia(v9, v13, v15) |  ~ organization(v10, v17) |  ~ organization(v10, v15) |  ~ organization(v9, v15) | greater(v17, v16)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ greater(v13, v12) |  ~ size(v10, v13, v17) |  ~ size(v9, v12, v16) |  ~ class(v10, v11, v17) |  ~ class(v9, v11, v16) |  ~ inertia(v10, v15, v17) |  ~ inertia(v9, v14, v16) |  ~ organization(v10, v17) |  ~ organization(v9, v16) | greater(v15, v14)) &  ! [v9] :  ! [v10] : ( ~ organization(v9, v10) |  ? [v11] : inertia(v9, v11, v10)))
% 2.66/1.26  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8 yields:
% 2.66/1.26  | (1) reorganization_type(all_0_7_7, all_0_6_6, all_0_2_2) & reorganization_type(all_0_8_8, all_0_6_6, all_0_2_2) & reorganization(all_0_7_7, all_0_2_2, all_0_0_0) & reorganization(all_0_8_8, all_0_2_2, all_0_1_1) & greater(all_0_3_3, all_0_4_4) & size(all_0_7_7, all_0_3_3, all_0_2_2) & size(all_0_8_8, all_0_4_4, all_0_2_2) & class(all_0_7_7, all_0_5_5, all_0_2_2) & class(all_0_8_8, all_0_5_5, all_0_2_2) & organization(all_0_7_7, all_0_0_0) & organization(all_0_7_7, all_0_2_2) & organization(all_0_8_8, all_0_2_2) &  ~ greater(all_0_0_0, all_0_1_1) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ reorganization_type(v1, v2, v6) |  ~ reorganization_type(v0, v2, v6) |  ~ reorganization(v1, v6, v8) |  ~ reorganization(v0, v6, v7) |  ~ greater(v5, v4) |  ~ class(v1, v3, v6) |  ~ class(v0, v3, v6) |  ~ inertia(v1, v5, v6) |  ~ inertia(v0, v4, v6) |  ~ organization(v1, v8) |  ~ organization(v1, v6) |  ~ organization(v0, v6) | greater(v8, v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ greater(v4, v3) |  ~ size(v1, v4, v8) |  ~ size(v0, v3, v7) |  ~ class(v1, v2, v8) |  ~ class(v0, v2, v7) |  ~ inertia(v1, v6, v8) |  ~ inertia(v0, v5, v7) |  ~ organization(v1, v8) |  ~ organization(v0, v7) | greater(v6, v5)) &  ! [v0] :  ! [v1] : ( ~ organization(v0, v1) |  ? [v2] : inertia(v0, v2, v1))
% 2.66/1.26  |
% 2.66/1.26  | Applying alpha-rule on (1) yields:
% 2.66/1.27  | (2)  ~ greater(all_0_0_0, all_0_1_1)
% 2.66/1.27  | (3) class(all_0_7_7, all_0_5_5, all_0_2_2)
% 2.66/1.27  | (4) reorganization(all_0_8_8, all_0_2_2, all_0_1_1)
% 2.66/1.27  | (5) organization(all_0_8_8, all_0_2_2)
% 2.66/1.27  | (6)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ greater(v4, v3) |  ~ size(v1, v4, v8) |  ~ size(v0, v3, v7) |  ~ class(v1, v2, v8) |  ~ class(v0, v2, v7) |  ~ inertia(v1, v6, v8) |  ~ inertia(v0, v5, v7) |  ~ organization(v1, v8) |  ~ organization(v0, v7) | greater(v6, v5))
% 2.66/1.27  | (7) size(all_0_8_8, all_0_4_4, all_0_2_2)
% 2.66/1.27  | (8) size(all_0_7_7, all_0_3_3, all_0_2_2)
% 2.66/1.27  | (9)  ! [v0] :  ! [v1] : ( ~ organization(v0, v1) |  ? [v2] : inertia(v0, v2, v1))
% 2.66/1.27  | (10) class(all_0_8_8, all_0_5_5, all_0_2_2)
% 2.66/1.27  | (11) organization(all_0_7_7, all_0_2_2)
% 2.66/1.27  | (12) reorganization_type(all_0_8_8, all_0_6_6, all_0_2_2)
% 2.66/1.27  | (13) organization(all_0_7_7, all_0_0_0)
% 2.66/1.27  | (14) greater(all_0_3_3, all_0_4_4)
% 2.66/1.27  | (15) reorganization_type(all_0_7_7, all_0_6_6, all_0_2_2)
% 2.66/1.27  | (16) reorganization(all_0_7_7, all_0_2_2, all_0_0_0)
% 2.66/1.27  | (17)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ reorganization_type(v1, v2, v6) |  ~ reorganization_type(v0, v2, v6) |  ~ reorganization(v1, v6, v8) |  ~ reorganization(v0, v6, v7) |  ~ greater(v5, v4) |  ~ class(v1, v3, v6) |  ~ class(v0, v3, v6) |  ~ inertia(v1, v5, v6) |  ~ inertia(v0, v4, v6) |  ~ organization(v1, v8) |  ~ organization(v1, v6) |  ~ organization(v0, v6) | greater(v8, v7))
% 2.66/1.27  |
% 2.66/1.27  | Instantiating formula (9) with all_0_2_2, all_0_7_7 and discharging atoms organization(all_0_7_7, all_0_2_2), yields:
% 2.66/1.27  | (18)  ? [v0] : inertia(all_0_7_7, v0, all_0_2_2)
% 2.66/1.27  |
% 2.66/1.27  | Instantiating formula (9) with all_0_2_2, all_0_8_8 and discharging atoms organization(all_0_8_8, all_0_2_2), yields:
% 2.66/1.28  | (19)  ? [v0] : inertia(all_0_8_8, v0, all_0_2_2)
% 2.66/1.28  |
% 2.66/1.28  | Instantiating (19) with all_8_0_9 yields:
% 2.66/1.28  | (20) inertia(all_0_8_8, all_8_0_9, all_0_2_2)
% 2.66/1.28  |
% 2.66/1.28  | Instantiating (18) with all_10_0_10 yields:
% 2.66/1.28  | (21) inertia(all_0_7_7, all_10_0_10, all_0_2_2)
% 2.66/1.28  |
% 2.66/1.28  | Instantiating formula (6) with all_0_2_2, all_0_2_2, all_10_0_10, all_8_0_9, all_0_3_3, all_0_4_4, all_0_5_5, all_0_7_7, all_0_8_8 and discharging atoms greater(all_0_3_3, all_0_4_4), size(all_0_7_7, all_0_3_3, all_0_2_2), size(all_0_8_8, all_0_4_4, all_0_2_2), class(all_0_7_7, all_0_5_5, all_0_2_2), class(all_0_8_8, all_0_5_5, all_0_2_2), inertia(all_0_7_7, all_10_0_10, all_0_2_2), inertia(all_0_8_8, all_8_0_9, all_0_2_2), organization(all_0_7_7, all_0_2_2), organization(all_0_8_8, all_0_2_2), yields:
% 2.66/1.28  | (22) greater(all_10_0_10, all_8_0_9)
% 2.66/1.28  |
% 2.66/1.28  | Instantiating formula (17) with all_0_0_0, all_0_1_1, all_0_2_2, all_10_0_10, all_8_0_9, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8 and discharging atoms reorganization_type(all_0_7_7, all_0_6_6, all_0_2_2), reorganization_type(all_0_8_8, all_0_6_6, all_0_2_2), reorganization(all_0_7_7, all_0_2_2, all_0_0_0), reorganization(all_0_8_8, all_0_2_2, all_0_1_1), greater(all_10_0_10, all_8_0_9), class(all_0_7_7, all_0_5_5, all_0_2_2), class(all_0_8_8, all_0_5_5, all_0_2_2), inertia(all_0_7_7, all_10_0_10, all_0_2_2), inertia(all_0_8_8, all_8_0_9, all_0_2_2), organization(all_0_7_7, all_0_0_0), organization(all_0_7_7, all_0_2_2), organization(all_0_8_8, all_0_2_2),  ~ greater(all_0_0_0, all_0_1_1), yields:
% 2.66/1.28  | (23) $false
% 2.66/1.28  |
% 2.66/1.28  |-The branch is then unsatisfiable
% 2.66/1.28  % SZS output end Proof for theBenchmark
% 2.66/1.28  
% 2.66/1.28  693ms
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