TSTP Solution File: MGT015+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT015+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n019.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 1.85s 1.17s
% Output : Proof 2.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT015+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n019.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 9 07:40:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.58 ____ _
% 0.20/0.58 ___ / __ \_____(_)___ ________ __________
% 0.20/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.20/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.20/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.20/0.58
% 0.20/0.58 A Theorem Prover for First-Order Logic
% 0.20/0.58 (ePrincess v.1.0)
% 0.20/0.58
% 0.20/0.59 (c) Philipp Rümmer, 2009-2015
% 0.20/0.59 (c) Peter Backeman, 2014-2015
% 0.20/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.20/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.20/0.59 Bug reports to peter@backeman.se
% 0.20/0.59
% 0.20/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.20/0.59
% 0.20/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.76/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.48/0.93 Prover 0: Preprocessing ...
% 1.75/1.04 Prover 0: Constructing countermodel ...
% 1.85/1.16 Prover 0: proved (529ms)
% 1.85/1.17
% 1.85/1.17 No countermodel exists, formula is valid
% 1.85/1.17 % SZS status Theorem for theBenchmark
% 1.85/1.17
% 1.85/1.17 Generating proof ... found it (size 9)
% 2.72/1.34
% 2.72/1.34 % SZS output start Proof for theBenchmark
% 2.72/1.34 Assumed formulas after preprocessing and simplification:
% 2.72/1.34 | (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) & complexity(v1, v5, v6) & complexity(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) | ~ complexity(v10, v13, v17) | ~ complexity(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)))
% 2.72/1.35 | 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:
% 2.72/1.35 | (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) & complexity(all_0_7_7, all_0_3_3, all_0_2_2) & complexity(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) | ~ complexity(v1, v4, v8) | ~ complexity(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))
% 2.72/1.36 |
% 2.72/1.36 | Applying alpha-rule on (1) yields:
% 2.72/1.36 | (2) reorganization(all_0_8_8, all_0_2_2, all_0_1_1)
% 2.72/1.36 | (3) ! [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))
% 2.72/1.36 | (4) reorganization_type(all_0_8_8, all_0_6_6, all_0_2_2)
% 2.72/1.36 | (5) complexity(all_0_7_7, all_0_3_3, all_0_2_2)
% 2.72/1.36 | (6) ~ greater(all_0_0_0, all_0_1_1)
% 2.72/1.36 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ greater(v4, v3) | ~ complexity(v1, v4, v8) | ~ complexity(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))
% 2.72/1.36 | (8) class(all_0_7_7, all_0_5_5, all_0_2_2)
% 2.72/1.36 | (9) greater(all_0_3_3, all_0_4_4)
% 2.72/1.36 | (10) organization(all_0_7_7, all_0_0_0)
% 2.72/1.36 | (11) complexity(all_0_8_8, all_0_4_4, all_0_2_2)
% 2.72/1.36 | (12) organization(all_0_8_8, all_0_2_2)
% 2.72/1.36 | (13) organization(all_0_7_7, all_0_2_2)
% 2.72/1.36 | (14) ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : inertia(v0, v2, v1))
% 2.72/1.36 | (15) reorganization_type(all_0_7_7, all_0_6_6, all_0_2_2)
% 2.72/1.36 | (16) class(all_0_8_8, all_0_5_5, all_0_2_2)
% 2.72/1.36 | (17) reorganization(all_0_7_7, all_0_2_2, all_0_0_0)
% 2.72/1.36 |
% 2.72/1.36 | Instantiating formula (14) with all_0_2_2, all_0_7_7 and discharging atoms organization(all_0_7_7, all_0_2_2), yields:
% 2.72/1.36 | (18) ? [v0] : inertia(all_0_7_7, v0, all_0_2_2)
% 2.72/1.36 |
% 2.72/1.37 | Instantiating formula (14) with all_0_2_2, all_0_8_8 and discharging atoms organization(all_0_8_8, all_0_2_2), yields:
% 2.72/1.37 | (19) ? [v0] : inertia(all_0_8_8, v0, all_0_2_2)
% 2.72/1.37 |
% 2.72/1.37 | Instantiating (19) with all_8_0_9 yields:
% 2.72/1.37 | (20) inertia(all_0_8_8, all_8_0_9, all_0_2_2)
% 2.72/1.37 |
% 2.72/1.37 | Instantiating (18) with all_10_0_10 yields:
% 2.72/1.37 | (21) inertia(all_0_7_7, all_10_0_10, all_0_2_2)
% 2.72/1.37 |
% 2.72/1.37 | Instantiating formula (7) 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), complexity(all_0_7_7, all_0_3_3, all_0_2_2), complexity(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:
% 2.72/1.37 | (22) greater(all_10_0_10, all_8_0_9)
% 2.72/1.37 |
% 2.72/1.37 | Instantiating formula (3) 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:
% 2.93/1.37 | (23) $false
% 2.93/1.37 |
% 2.93/1.37 |-The branch is then unsatisfiable
% 2.93/1.37 % SZS output end Proof for theBenchmark
% 2.93/1.37
% 2.93/1.37 776ms
%------------------------------------------------------------------------------