TSTP Solution File: MGT003+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT003+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 22:06:54 EDT 2022
% Result : Theorem 1.92s 1.07s
% Output : Proof 2.58s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT003+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % 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 09:24:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.51/0.57 ____ _
% 0.51/0.57 ___ / __ \_____(_)___ ________ __________
% 0.51/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.57
% 0.51/0.57 A Theorem Prover for First-Order Logic
% 0.51/0.57 (ePrincess v.1.0)
% 0.51/0.57
% 0.51/0.57 (c) Philipp Rümmer, 2009-2015
% 0.51/0.57 (c) Peter Backeman, 2014-2015
% 0.51/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.57 Bug reports to peter@backeman.se
% 0.51/0.57
% 0.51/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.57
% 0.51/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.51/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.40/0.87 Prover 0: Preprocessing ...
% 1.59/0.97 Prover 0: Constructing countermodel ...
% 1.92/1.07 Prover 0: proved (454ms)
% 1.92/1.07
% 1.92/1.07 No countermodel exists, formula is valid
% 1.92/1.07 % SZS status Theorem for theBenchmark
% 1.92/1.07
% 1.92/1.07 Generating proof ... found it (size 11)
% 2.36/1.23
% 2.36/1.23 % SZS output start Proof for theBenchmark
% 2.36/1.23 Assumed formulas after preprocessing and simplification:
% 2.36/1.23 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (greater(v4, v3) & survival_chance(v0, v2, v4) & survival_chance(v0, v1, v3) & organization(v0, v4) & organization(v0, v3) & reorganization_free(v0, v3, v4) & ~ greater(v2, v1) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ greater(v10, v9) | ~ survival_chance(v6, v12, v8) | ~ survival_chance(v5, v11, v7) | ~ inertia(v6, v10, v8) | ~ inertia(v5, v9, v7) | ~ organization(v6, v8) | ~ organization(v5, v7) | ~ reorganization_free(v6, v8, v8) | ~ reorganization_free(v5, v7, v7) | greater(v12, v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ greater(v9, v8) | ~ inertia(v5, v7, v9) | ~ inertia(v5, v6, v8) | ~ organization(v5, v9) | ~ organization(v5, v8) | ~ reorganization_free(v5, v8, v9) | greater(v7, v6)) & ! [v5] : ! [v6] : ! [v7] : ( ~ reorganization_free(v5, v6, v7) | reorganization_free(v5, v7, v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ reorganization_free(v5, v6, v7) | reorganization_free(v5, v6, v6)) & ! [v5] : ! [v6] : ( ~ organization(v5, v6) | ? [v7] : inertia(v5, v7, v6)))
% 2.58/1.24 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 2.58/1.24 | (1) greater(all_0_0_0, all_0_1_1) & survival_chance(all_0_4_4, all_0_2_2, all_0_0_0) & survival_chance(all_0_4_4, all_0_3_3, all_0_1_1) & organization(all_0_4_4, all_0_0_0) & organization(all_0_4_4, all_0_1_1) & reorganization_free(all_0_4_4, all_0_1_1, all_0_0_0) & ~ greater(all_0_2_2, all_0_3_3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ greater(v5, v4) | ~ survival_chance(v1, v7, v3) | ~ survival_chance(v0, v6, v2) | ~ inertia(v1, v5, v3) | ~ inertia(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | ~ reorganization_free(v1, v3, v3) | ~ reorganization_free(v0, v2, v2) | greater(v7, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ greater(v4, v3) | ~ inertia(v0, v2, v4) | ~ inertia(v0, v1, v3) | ~ organization(v0, v4) | ~ organization(v0, v3) | ~ reorganization_free(v0, v3, v4) | greater(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ reorganization_free(v0, v1, v2) | reorganization_free(v0, v2, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ reorganization_free(v0, v1, v2) | reorganization_free(v0, v1, v1)) & ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : inertia(v0, v2, v1))
% 2.58/1.25 |
% 2.58/1.25 | Applying alpha-rule on (1) yields:
% 2.58/1.25 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ greater(v4, v3) | ~ inertia(v0, v2, v4) | ~ inertia(v0, v1, v3) | ~ organization(v0, v4) | ~ organization(v0, v3) | ~ reorganization_free(v0, v3, v4) | greater(v2, v1))
% 2.58/1.25 | (3) organization(all_0_4_4, all_0_0_0)
% 2.58/1.25 | (4) ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : inertia(v0, v2, v1))
% 2.58/1.25 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ greater(v5, v4) | ~ survival_chance(v1, v7, v3) | ~ survival_chance(v0, v6, v2) | ~ inertia(v1, v5, v3) | ~ inertia(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | ~ reorganization_free(v1, v3, v3) | ~ reorganization_free(v0, v2, v2) | greater(v7, v6))
% 2.58/1.25 | (6) survival_chance(all_0_4_4, all_0_2_2, all_0_0_0)
% 2.58/1.25 | (7) reorganization_free(all_0_4_4, all_0_1_1, all_0_0_0)
% 2.58/1.25 | (8) survival_chance(all_0_4_4, all_0_3_3, all_0_1_1)
% 2.58/1.25 | (9) greater(all_0_0_0, all_0_1_1)
% 2.58/1.25 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ reorganization_free(v0, v1, v2) | reorganization_free(v0, v1, v1))
% 2.58/1.26 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ reorganization_free(v0, v1, v2) | reorganization_free(v0, v2, v2))
% 2.58/1.26 | (12) ~ greater(all_0_2_2, all_0_3_3)
% 2.58/1.26 | (13) organization(all_0_4_4, all_0_1_1)
% 2.58/1.26 |
% 2.58/1.26 | 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:
% 2.58/1.26 | (14) ? [v0] : inertia(all_0_4_4, v0, all_0_0_0)
% 2.58/1.26 |
% 2.58/1.26 | 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:
% 2.58/1.26 | (15) ? [v0] : inertia(all_0_4_4, v0, all_0_1_1)
% 2.58/1.26 |
% 2.58/1.26 | Instantiating formula (11) with 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), yields:
% 2.58/1.26 | (16) reorganization_free(all_0_4_4, all_0_0_0, all_0_0_0)
% 2.58/1.26 |
% 2.58/1.26 | Instantiating formula (10) with 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), yields:
% 2.58/1.26 | (17) reorganization_free(all_0_4_4, all_0_1_1, all_0_1_1)
% 2.58/1.26 |
% 2.58/1.26 | Instantiating (15) with all_9_0_5 yields:
% 2.58/1.26 | (18) inertia(all_0_4_4, all_9_0_5, all_0_1_1)
% 2.58/1.26 |
% 2.58/1.26 | Instantiating (14) with all_11_0_6 yields:
% 2.58/1.26 | (19) inertia(all_0_4_4, all_11_0_6, all_0_0_0)
% 2.58/1.26 |
% 2.58/1.26 | Instantiating formula (2) with all_0_0_0, all_0_1_1, all_11_0_6, all_9_0_5, all_0_4_4 and discharging atoms greater(all_0_0_0, all_0_1_1), inertia(all_0_4_4, all_11_0_6, all_0_0_0), inertia(all_0_4_4, all_9_0_5, all_0_1_1), organization(all_0_4_4, all_0_0_0), organization(all_0_4_4, all_0_1_1), reorganization_free(all_0_4_4, all_0_1_1, all_0_0_0), yields:
% 2.58/1.26 | (20) greater(all_11_0_6, all_9_0_5)
% 2.58/1.26 |
% 2.58/1.26 | Instantiating formula (5) with all_0_2_2, all_0_3_3, all_11_0_6, all_9_0_5, all_0_0_0, all_0_1_1, all_0_4_4, all_0_4_4 and discharging atoms greater(all_11_0_6, all_9_0_5), survival_chance(all_0_4_4, all_0_2_2, all_0_0_0), survival_chance(all_0_4_4, all_0_3_3, all_0_1_1), inertia(all_0_4_4, all_11_0_6, all_0_0_0), inertia(all_0_4_4, all_9_0_5, all_0_1_1), organization(all_0_4_4, all_0_0_0), organization(all_0_4_4, all_0_1_1), reorganization_free(all_0_4_4, all_0_0_0, all_0_0_0), reorganization_free(all_0_4_4, all_0_1_1, all_0_1_1), ~ greater(all_0_2_2, all_0_3_3), yields:
% 2.58/1.26 | (21) $false
% 2.58/1.26 |
% 2.58/1.26 |-The branch is then unsatisfiable
% 2.58/1.26 % SZS output end Proof for theBenchmark
% 2.58/1.26
% 2.58/1.26 682ms
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