TSTP Solution File: MGT008+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT008+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n025.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 22:06:56 EDT 2022
% Result : Theorem 1.79s 1.14s
% Output : Proof 2.60s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT008+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 9 07:29:50 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.60/0.59 ____ _
% 0.60/0.59 ___ / __ \_____(_)___ ________ __________
% 0.60/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.60/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.60/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.60/0.59
% 0.60/0.59 A Theorem Prover for First-Order Logic
% 0.60/0.59 (ePrincess v.1.0)
% 0.60/0.59
% 0.60/0.59 (c) Philipp Rümmer, 2009-2015
% 0.60/0.59 (c) Peter Backeman, 2014-2015
% 0.60/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.60/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.60/0.59 Bug reports to peter@backeman.se
% 0.60/0.59
% 0.60/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.60/0.59
% 0.60/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.39/0.93 Prover 0: Preprocessing ...
% 1.66/1.03 Prover 0: Constructing countermodel ...
% 1.79/1.14 Prover 0: proved (498ms)
% 1.79/1.14
% 1.79/1.14 No countermodel exists, formula is valid
% 1.79/1.14 % SZS status Theorem for theBenchmark
% 1.79/1.14
% 1.79/1.14 Generating proof ... found it (size 9)
% 2.60/1.32
% 2.60/1.32 % SZS output start Proof for theBenchmark
% 2.60/1.32 Assumed formulas after preprocessing and simplification:
% 2.60/1.32 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (survival_chance(v1, v4, v8) & survival_chance(v0, v3, v7) & reorganization_free(v1, v8, v8) & reorganization_free(v0, v7, v7) & greater(v6, v5) & size(v1, v6, v8) & size(v0, v5, v7) & class(v1, v2, v8) & class(v0, v2, v7) & organization(v1, v8) & organization(v0, v7) & ~ greater(v4, v3) & ! [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] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ survival_chance(v10, v16, v12) | ~ survival_chance(v9, v15, v11) | ~ reorganization_free(v10, v12, v12) | ~ reorganization_free(v9, v11, v11) | ~ greater(v14, v13) | ~ inertia(v10, v14, v12) | ~ inertia(v9, v13, v11) | ~ organization(v10, v12) | ~ organization(v9, v11) | greater(v16, v15)) & ! [v9] : ! [v10] : ( ~ organization(v9, v10) | ? [v11] : inertia(v9, v11, v10)))
% 2.60/1.33 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8 yields:
% 2.60/1.33 | (1) survival_chance(all_0_7_7, all_0_4_4, all_0_0_0) & survival_chance(all_0_8_8, all_0_5_5, all_0_1_1) & reorganization_free(all_0_7_7, all_0_0_0, all_0_0_0) & reorganization_free(all_0_8_8, all_0_1_1, all_0_1_1) & greater(all_0_2_2, all_0_3_3) & size(all_0_7_7, all_0_2_2, all_0_0_0) & size(all_0_8_8, all_0_3_3, all_0_1_1) & class(all_0_7_7, all_0_6_6, all_0_0_0) & class(all_0_8_8, all_0_6_6, all_0_1_1) & organization(all_0_7_7, all_0_0_0) & organization(all_0_8_8, all_0_1_1) & ~ greater(all_0_4_4, all_0_5_5) & ! [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] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ survival_chance(v1, v7, v3) | ~ survival_chance(v0, v6, v2) | ~ reorganization_free(v1, v3, v3) | ~ reorganization_free(v0, v2, v2) | ~ greater(v5, v4) | ~ inertia(v1, v5, v3) | ~ inertia(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v7, v6)) & ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : inertia(v0, v2, v1))
% 2.60/1.34 |
% 2.60/1.34 | Applying alpha-rule on (1) yields:
% 2.60/1.34 | (2) ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : inertia(v0, v2, v1))
% 2.60/1.34 | (3) reorganization_free(all_0_7_7, all_0_0_0, all_0_0_0)
% 2.60/1.34 | (4) survival_chance(all_0_8_8, all_0_5_5, all_0_1_1)
% 2.60/1.34 | (5) class(all_0_7_7, all_0_6_6, all_0_0_0)
% 2.60/1.34 | (6) reorganization_free(all_0_8_8, all_0_1_1, all_0_1_1)
% 2.60/1.34 | (7) survival_chance(all_0_7_7, all_0_4_4, all_0_0_0)
% 2.60/1.34 | (8) organization(all_0_8_8, all_0_1_1)
% 2.60/1.34 | (9) size(all_0_8_8, all_0_3_3, all_0_1_1)
% 2.60/1.34 | (10) organization(all_0_7_7, all_0_0_0)
% 2.60/1.34 | (11) size(all_0_7_7, all_0_2_2, all_0_0_0)
% 2.60/1.34 | (12) class(all_0_8_8, all_0_6_6, all_0_1_1)
% 2.60/1.34 | (13) greater(all_0_2_2, all_0_3_3)
% 2.60/1.34 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ survival_chance(v1, v7, v3) | ~ survival_chance(v0, v6, v2) | ~ reorganization_free(v1, v3, v3) | ~ reorganization_free(v0, v2, v2) | ~ greater(v5, v4) | ~ inertia(v1, v5, v3) | ~ inertia(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v7, v6))
% 2.60/1.34 | (15) ! [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))
% 2.60/1.34 | (16) ~ greater(all_0_4_4, all_0_5_5)
% 2.60/1.34 |
% 2.60/1.34 | Instantiating formula (2) with all_0_0_0, all_0_7_7 and discharging atoms organization(all_0_7_7, all_0_0_0), yields:
% 2.60/1.34 | (17) ? [v0] : inertia(all_0_7_7, v0, all_0_0_0)
% 2.60/1.34 |
% 2.60/1.34 | Instantiating formula (2) with all_0_1_1, all_0_8_8 and discharging atoms organization(all_0_8_8, all_0_1_1), yields:
% 2.60/1.34 | (18) ? [v0] : inertia(all_0_8_8, v0, all_0_1_1)
% 2.60/1.34 |
% 2.60/1.34 | Instantiating (18) with all_8_0_9 yields:
% 2.60/1.34 | (19) inertia(all_0_8_8, all_8_0_9, all_0_1_1)
% 2.60/1.34 |
% 2.60/1.34 | Instantiating (17) with all_10_0_10 yields:
% 2.60/1.34 | (20) inertia(all_0_7_7, all_10_0_10, all_0_0_0)
% 2.60/1.34 |
% 2.60/1.35 | Instantiating formula (15) with all_0_0_0, all_0_1_1, all_10_0_10, all_8_0_9, all_0_2_2, all_0_3_3, all_0_6_6, all_0_7_7, all_0_8_8 and discharging atoms greater(all_0_2_2, all_0_3_3), size(all_0_7_7, all_0_2_2, all_0_0_0), size(all_0_8_8, all_0_3_3, all_0_1_1), class(all_0_7_7, all_0_6_6, all_0_0_0), class(all_0_8_8, all_0_6_6, all_0_1_1), inertia(all_0_7_7, all_10_0_10, all_0_0_0), inertia(all_0_8_8, all_8_0_9, all_0_1_1), organization(all_0_7_7, all_0_0_0), organization(all_0_8_8, all_0_1_1), yields:
% 2.60/1.35 | (21) greater(all_10_0_10, all_8_0_9)
% 2.60/1.35 |
% 2.60/1.35 | Instantiating formula (14) with all_0_4_4, all_0_5_5, all_10_0_10, all_8_0_9, all_0_0_0, all_0_1_1, all_0_7_7, all_0_8_8 and discharging atoms survival_chance(all_0_7_7, all_0_4_4, all_0_0_0), survival_chance(all_0_8_8, all_0_5_5, all_0_1_1), reorganization_free(all_0_7_7, all_0_0_0, all_0_0_0), reorganization_free(all_0_8_8, all_0_1_1, all_0_1_1), greater(all_10_0_10, all_8_0_9), inertia(all_0_7_7, all_10_0_10, all_0_0_0), inertia(all_0_8_8, all_8_0_9, all_0_1_1), organization(all_0_7_7, all_0_0_0), organization(all_0_8_8, all_0_1_1), ~ greater(all_0_4_4, all_0_5_5), yields:
% 2.60/1.35 | (22) $false
% 2.60/1.35 |
% 2.60/1.35 |-The branch is then unsatisfiable
% 2.60/1.35 % SZS output end Proof for theBenchmark
% 2.60/1.35
% 2.60/1.35 750ms
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