TSTP Solution File: MGT011+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT011+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Sun Jul 17 22:06:57 EDT 2022
% Result : Theorem 1.83s 1.17s
% Output : Proof 2.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT011+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12 % 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 9 09:53:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.57/0.58 ____ _
% 0.57/0.58 ___ / __ \_____(_)___ ________ __________
% 0.57/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.57/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.57/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.57/0.58
% 0.57/0.58 A Theorem Prover for First-Order Logic
% 0.57/0.59 (ePrincess v.1.0)
% 0.57/0.59
% 0.57/0.59 (c) Philipp Rümmer, 2009-2015
% 0.57/0.59 (c) Peter Backeman, 2014-2015
% 0.57/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.57/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.57/0.59 Bug reports to peter@backeman.se
% 0.57/0.59
% 0.57/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.57/0.59
% 0.57/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.76/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.45/0.92 Prover 0: Preprocessing ...
% 1.69/1.05 Prover 0: Constructing countermodel ...
% 1.83/1.17 Prover 0: proved (533ms)
% 1.83/1.17
% 1.83/1.17 No countermodel exists, formula is valid
% 1.83/1.17 % SZS status Theorem for theBenchmark
% 1.83/1.17
% 1.83/1.17 Generating proof ... found it (size 16)
% 2.41/1.32
% 2.41/1.32 % SZS output start Proof for theBenchmark
% 2.41/1.32 Assumed formulas after preprocessing and simplification:
% 2.41/1.32 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (size(v0, v2, v4) & size(v0, v1, v3) & reorganization_free(v0, v3, v4) & greater(v4, v3) & greater(v1, v2) & organization(v0, v4) & organization(v0, v3) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ size(v6, v9, v13) | ~ size(v5, v8, v12) | ~ class(v6, v7, v13) | ~ class(v5, v7, v12) | ~ greater(v9, v8) | ~ inertia(v6, v11, v13) | ~ inertia(v5, v10, v12) | ~ organization(v6, v13) | ~ organization(v5, v12) | greater(v11, v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v8 | ~ reorganization_free(v5, v6, v7) | ~ class(v5, v9, v7) | ~ class(v5, v8, v6) | ~ organization(v5, v7) | ~ organization(v5, v6)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ reorganization_free(v5, v8, v9) | ~ greater(v9, v8) | ~ inertia(v5, v7, v9) | ~ inertia(v5, v6, v8) | ~ organization(v5, v9) | ~ organization(v5, v8) | greater(v7, v6)) & ! [v5] : ! [v6] : ( ~ greater(v6, v5) | ~ greater(v5, v6)) & ! [v5] : ! [v6] : ( ~ organization(v5, v6) | ? [v7] : class(v5, v7, v6)) & ! [v5] : ! [v6] : ( ~ organization(v5, v6) | ? [v7] : inertia(v5, v7, v6)) & ! [v5] : ~ greater(v5, v5))
% 2.66/1.33 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 2.66/1.33 | (1) size(all_0_4_4, all_0_2_2, all_0_0_0) & size(all_0_4_4, all_0_3_3, all_0_1_1) & reorganization_free(all_0_4_4, all_0_1_1, all_0_0_0) & greater(all_0_0_0, all_0_1_1) & greater(all_0_3_3, all_0_2_2) & organization(all_0_4_4, all_0_0_0) & organization(all_0_4_4, all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ size(v1, v4, v8) | ~ size(v0, v3, v7) | ~ class(v1, v2, v8) | ~ class(v0, v2, v7) | ~ greater(v4, v3) | ~ inertia(v1, v6, v8) | ~ inertia(v0, v5, v7) | ~ organization(v1, v8) | ~ organization(v0, v7) | greater(v6, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ reorganization_free(v0, v1, v2) | ~ class(v0, v4, v2) | ~ class(v0, v3, v1) | ~ organization(v0, v2) | ~ organization(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ reorganization_free(v0, v3, v4) | ~ greater(v4, v3) | ~ inertia(v0, v2, v4) | ~ inertia(v0, v1, v3) | ~ organization(v0, v4) | ~ organization(v0, v3) | greater(v2, v1)) & ! [v0] : ! [v1] : ( ~ greater(v1, v0) | ~ greater(v0, v1)) & ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : class(v0, v2, v1)) & ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : inertia(v0, v2, v1)) & ! [v0] : ~ greater(v0, v0)
% 2.66/1.33 |
% 2.66/1.33 | Applying alpha-rule on (1) yields:
% 2.66/1.34 | (2) greater(all_0_0_0, all_0_1_1)
% 2.66/1.34 | (3) greater(all_0_3_3, all_0_2_2)
% 2.66/1.34 | (4) ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : inertia(v0, v2, v1))
% 2.66/1.34 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ reorganization_free(v0, v1, v2) | ~ class(v0, v4, v2) | ~ class(v0, v3, v1) | ~ organization(v0, v2) | ~ organization(v0, v1))
% 2.66/1.34 | (6) organization(all_0_4_4, all_0_1_1)
% 2.66/1.34 | (7) size(all_0_4_4, all_0_2_2, all_0_0_0)
% 2.66/1.34 | (8) ! [v0] : ~ greater(v0, v0)
% 2.66/1.34 | (9) organization(all_0_4_4, all_0_0_0)
% 2.66/1.34 | (10) ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : class(v0, v2, v1))
% 2.66/1.34 | (11) size(all_0_4_4, all_0_3_3, all_0_1_1)
% 2.66/1.34 | (12) reorganization_free(all_0_4_4, all_0_1_1, all_0_0_0)
% 2.66/1.34 | (13) ! [v0] : ! [v1] : ( ~ greater(v1, v0) | ~ greater(v0, v1))
% 2.66/1.34 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ size(v1, v4, v8) | ~ size(v0, v3, v7) | ~ class(v1, v2, v8) | ~ class(v0, v2, v7) | ~ greater(v4, v3) | ~ inertia(v1, v6, v8) | ~ inertia(v0, v5, v7) | ~ organization(v1, v8) | ~ organization(v0, v7) | greater(v6, v5))
% 2.66/1.34 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ reorganization_free(v0, v3, v4) | ~ greater(v4, v3) | ~ inertia(v0, v2, v4) | ~ inertia(v0, v1, v3) | ~ organization(v0, v4) | ~ organization(v0, v3) | greater(v2, v1))
% 2.66/1.34 |
% 2.66/1.34 | Instantiating formula (10) with all_0_0_0, all_0_4_4 and discharging atoms organization(all_0_4_4, all_0_0_0), yields:
% 2.66/1.34 | (16) ? [v0] : class(all_0_4_4, v0, all_0_0_0)
% 2.66/1.34 |
% 2.66/1.34 | Instantiating formula (4) with all_0_0_0, all_0_4_4 and discharging atoms organization(all_0_4_4, all_0_0_0), yields:
% 2.66/1.34 | (17) ? [v0] : inertia(all_0_4_4, v0, all_0_0_0)
% 2.66/1.34 |
% 2.66/1.34 | Instantiating formula (10) with all_0_1_1, all_0_4_4 and discharging atoms organization(all_0_4_4, all_0_1_1), yields:
% 2.66/1.34 | (18) ? [v0] : class(all_0_4_4, v0, all_0_1_1)
% 2.66/1.34 |
% 2.66/1.34 | Instantiating formula (4) with all_0_1_1, all_0_4_4 and discharging atoms organization(all_0_4_4, all_0_1_1), yields:
% 2.66/1.34 | (19) ? [v0] : inertia(all_0_4_4, v0, all_0_1_1)
% 2.66/1.34 |
% 2.66/1.34 | Instantiating (19) with all_8_0_5 yields:
% 2.66/1.34 | (20) inertia(all_0_4_4, all_8_0_5, all_0_1_1)
% 2.66/1.34 |
% 2.66/1.34 | Instantiating (17) with all_10_0_6 yields:
% 2.66/1.34 | (21) inertia(all_0_4_4, all_10_0_6, all_0_0_0)
% 2.66/1.34 |
% 2.66/1.34 | Instantiating (16) with all_12_0_7 yields:
% 2.66/1.34 | (22) class(all_0_4_4, all_12_0_7, all_0_0_0)
% 2.66/1.34 |
% 2.66/1.34 | Instantiating (18) with all_14_0_8 yields:
% 2.66/1.34 | (23) class(all_0_4_4, all_14_0_8, all_0_1_1)
% 2.66/1.34 |
% 2.66/1.34 | Instantiating formula (5) with all_12_0_7, all_14_0_8, all_0_0_0, all_0_1_1, all_0_4_4 and discharging atoms reorganization_free(all_0_4_4, all_0_1_1, all_0_0_0), class(all_0_4_4, all_14_0_8, all_0_1_1), class(all_0_4_4, all_12_0_7, all_0_0_0), organization(all_0_4_4, all_0_0_0), organization(all_0_4_4, all_0_1_1), yields:
% 2.66/1.35 | (24) all_14_0_8 = all_12_0_7
% 2.66/1.35 |
% 2.66/1.35 | From (24) and (23) follows:
% 2.66/1.35 | (25) class(all_0_4_4, all_12_0_7, all_0_1_1)
% 2.66/1.35 |
% 2.66/1.35 | Instantiating formula (14) with all_0_1_1, all_0_0_0, all_8_0_5, all_10_0_6, all_0_3_3, all_0_2_2, all_12_0_7, all_0_4_4, all_0_4_4 and discharging atoms size(all_0_4_4, all_0_2_2, all_0_0_0), size(all_0_4_4, all_0_3_3, all_0_1_1), class(all_0_4_4, all_12_0_7, all_0_0_0), class(all_0_4_4, all_12_0_7, all_0_1_1), greater(all_0_3_3, all_0_2_2), inertia(all_0_4_4, all_10_0_6, all_0_0_0), inertia(all_0_4_4, all_8_0_5, all_0_1_1), organization(all_0_4_4, all_0_0_0), organization(all_0_4_4, all_0_1_1), yields:
% 2.66/1.35 | (26) greater(all_8_0_5, all_10_0_6)
% 2.66/1.35 |
% 2.66/1.35 | Instantiating formula (15) with all_0_0_0, all_0_1_1, all_10_0_6, all_8_0_5, all_0_4_4 and discharging atoms reorganization_free(all_0_4_4, all_0_1_1, all_0_0_0), greater(all_0_0_0, all_0_1_1), inertia(all_0_4_4, all_10_0_6, all_0_0_0), inertia(all_0_4_4, all_8_0_5, all_0_1_1), organization(all_0_4_4, all_0_0_0), organization(all_0_4_4, all_0_1_1), yields:
% 2.66/1.35 | (27) greater(all_10_0_6, all_8_0_5)
% 2.66/1.35 |
% 2.66/1.35 | Instantiating formula (13) with all_8_0_5, all_10_0_6 and discharging atoms greater(all_10_0_6, all_8_0_5), greater(all_8_0_5, all_10_0_6), yields:
% 2.66/1.35 | (28) $false
% 2.66/1.35 |
% 2.66/1.35 |-The branch is then unsatisfiable
% 2.66/1.35 % SZS output end Proof for theBenchmark
% 2.66/1.35
% 2.66/1.35 755ms
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