TSTP Solution File: MGT004+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT004+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.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 22:06:55 EDT 2022
% Result : Theorem 1.64s 0.97s
% Output : Proof 2.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.08 % Problem : MGT004+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.09 % Command : ePrincess-casc -timeout=%d %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 600
% 0.08/0.27 % DateTime : Thu Jun 9 09:36:07 EDT 2022
% 0.08/0.27 % CPUTime :
% 0.12/0.48 ____ _
% 0.12/0.48 ___ / __ \_____(_)___ ________ __________
% 0.12/0.48 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.12/0.48 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.12/0.48 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.12/0.48
% 0.12/0.48 A Theorem Prover for First-Order Logic
% 0.12/0.48 (ePrincess v.1.0)
% 0.12/0.48
% 0.12/0.48 (c) Philipp Rümmer, 2009-2015
% 0.12/0.48 (c) Peter Backeman, 2014-2015
% 0.12/0.48 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.12/0.48 Free software under GNU Lesser General Public License (LGPL).
% 0.12/0.48 Bug reports to peter@backeman.se
% 0.12/0.48
% 0.12/0.48 For more information, visit http://user.uu.se/~petba168/breu/
% 0.12/0.48
% 0.12/0.48 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.12/0.53 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 0.98/0.74 Prover 0: Preprocessing ...
% 1.29/0.85 Prover 0: Constructing countermodel ...
% 1.64/0.97 Prover 0: proved (445ms)
% 1.64/0.97
% 1.64/0.97 No countermodel exists, formula is valid
% 1.64/0.97 % SZS status Theorem for theBenchmark
% 1.64/0.97
% 1.64/0.97 Generating proof ... found it (size 14)
% 2.36/1.13
% 2.36/1.13 % SZS output start Proof for theBenchmark
% 2.36/1.13 Assumed formulas after preprocessing and simplification:
% 2.36/1.13 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (reorganization(v0, v5, v6) & greater(v4, v3) & survival_chance(v0, v2, v4) & survival_chance(v0, v1, v3) & organization(v0, v4) & organization(v0, v3) & ~ greater(v5, v3) & ~ greater(v4, v6) & ~ greater(v1, v2) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ greater(v12, v11) | ~ greater(v10, v9) | ~ survival_chance(v8, v14, v16) | ~ survival_chance(v7, v13, v15) | ~ accountability(v8, v12, v16) | ~ accountability(v7, v11, v15) | ~ reliability(v8, v10, v16) | ~ reliability(v7, v9, v15) | ~ organization(v8, v16) | ~ organization(v7, v15) | greater(v14, v13)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ reorganization(v7, v14, v15) | ~ greater(v13, v12) | ~ accountability(v7, v11, v13) | ~ accountability(v7, v10, v12) | ~ reliability(v7, v9, v13) | ~ reliability(v7, v8, v12) | ~ organization(v7, v13) | ~ organization(v7, v12) | greater(v14, v12) | greater(v13, v15) | greater(v10, v11)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ reorganization(v7, v14, v15) | ~ greater(v13, v12) | ~ accountability(v7, v11, v13) | ~ accountability(v7, v10, v12) | ~ reliability(v7, v9, v13) | ~ reliability(v7, v8, v12) | ~ organization(v7, v13) | ~ organization(v7, v12) | greater(v14, v12) | greater(v13, v15) | greater(v8, v9)) & ! [v7] : ! [v8] : ( ~ organization(v7, v8) | ? [v9] : accountability(v7, v9, v8)) & ! [v7] : ! [v8] : ( ~ organization(v7, v8) | ? [v9] : reliability(v7, v9, v8)))
% 2.36/1.14 | 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 yields:
% 2.36/1.15 | (1) reorganization(all_0_6_6, all_0_1_1, all_0_0_0) & greater(all_0_2_2, all_0_3_3) & survival_chance(all_0_6_6, all_0_4_4, all_0_2_2) & survival_chance(all_0_6_6, all_0_5_5, all_0_3_3) & organization(all_0_6_6, all_0_2_2) & organization(all_0_6_6, all_0_3_3) & ~ greater(all_0_1_1, all_0_3_3) & ~ greater(all_0_2_2, all_0_0_0) & ~ greater(all_0_5_5, all_0_4_4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ greater(v5, v4) | ~ greater(v3, v2) | ~ survival_chance(v1, v7, v9) | ~ survival_chance(v0, v6, v8) | ~ accountability(v1, v5, v9) | ~ accountability(v0, v4, v8) | ~ reliability(v1, v3, v9) | ~ reliability(v0, v2, v8) | ~ organization(v1, v9) | ~ organization(v0, v8) | greater(v7, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ reorganization(v0, v7, v8) | ~ greater(v6, v5) | ~ accountability(v0, v4, v6) | ~ accountability(v0, v3, v5) | ~ reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~ organization(v0, v6) | ~ organization(v0, v5) | greater(v7, v5) | greater(v6, v8) | greater(v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ reorganization(v0, v7, v8) | ~ greater(v6, v5) | ~ accountability(v0, v4, v6) | ~ accountability(v0, v3, v5) | ~ reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~ organization(v0, v6) | ~ organization(v0, v5) | greater(v7, v5) | greater(v6, v8) | greater(v1, v2)) & ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : accountability(v0, v2, v1)) & ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : reliability(v0, v2, v1))
% 2.36/1.15 |
% 2.36/1.15 | Applying alpha-rule on (1) yields:
% 2.36/1.15 | (2) ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : accountability(v0, v2, v1))
% 2.36/1.15 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ reorganization(v0, v7, v8) | ~ greater(v6, v5) | ~ accountability(v0, v4, v6) | ~ accountability(v0, v3, v5) | ~ reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~ organization(v0, v6) | ~ organization(v0, v5) | greater(v7, v5) | greater(v6, v8) | greater(v1, v2))
% 2.36/1.15 | (4) ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : reliability(v0, v2, v1))
% 2.36/1.15 | (5) ~ greater(all_0_1_1, all_0_3_3)
% 2.36/1.15 | (6) ~ greater(all_0_2_2, all_0_0_0)
% 2.36/1.15 | (7) survival_chance(all_0_6_6, all_0_5_5, all_0_3_3)
% 2.36/1.15 | (8) ~ greater(all_0_5_5, all_0_4_4)
% 2.36/1.15 | (9) organization(all_0_6_6, all_0_2_2)
% 2.36/1.16 | (10) greater(all_0_2_2, all_0_3_3)
% 2.36/1.16 | (11) organization(all_0_6_6, all_0_3_3)
% 2.36/1.16 | (12) survival_chance(all_0_6_6, all_0_4_4, all_0_2_2)
% 2.36/1.16 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ reorganization(v0, v7, v8) | ~ greater(v6, v5) | ~ accountability(v0, v4, v6) | ~ accountability(v0, v3, v5) | ~ reliability(v0, v2, v6) | ~ reliability(v0, v1, v5) | ~ organization(v0, v6) | ~ organization(v0, v5) | greater(v7, v5) | greater(v6, v8) | greater(v3, v4))
% 2.36/1.16 | (14) reorganization(all_0_6_6, all_0_1_1, all_0_0_0)
% 2.36/1.16 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ greater(v5, v4) | ~ greater(v3, v2) | ~ survival_chance(v1, v7, v9) | ~ survival_chance(v0, v6, v8) | ~ accountability(v1, v5, v9) | ~ accountability(v0, v4, v8) | ~ reliability(v1, v3, v9) | ~ reliability(v0, v2, v8) | ~ organization(v1, v9) | ~ organization(v0, v8) | greater(v7, v6))
% 2.43/1.16 |
% 2.43/1.16 | Instantiating formula (2) with all_0_2_2, all_0_6_6 and discharging atoms organization(all_0_6_6, all_0_2_2), yields:
% 2.43/1.16 | (16) ? [v0] : accountability(all_0_6_6, v0, all_0_2_2)
% 2.43/1.16 |
% 2.43/1.16 | Instantiating formula (4) with all_0_2_2, all_0_6_6 and discharging atoms organization(all_0_6_6, all_0_2_2), yields:
% 2.43/1.16 | (17) ? [v0] : reliability(all_0_6_6, v0, all_0_2_2)
% 2.43/1.16 |
% 2.43/1.16 | Instantiating formula (2) with all_0_3_3, all_0_6_6 and discharging atoms organization(all_0_6_6, all_0_3_3), yields:
% 2.43/1.16 | (18) ? [v0] : accountability(all_0_6_6, v0, all_0_3_3)
% 2.43/1.16 |
% 2.43/1.16 | Instantiating formula (4) with all_0_3_3, all_0_6_6 and discharging atoms organization(all_0_6_6, all_0_3_3), yields:
% 2.43/1.16 | (19) ? [v0] : reliability(all_0_6_6, v0, all_0_3_3)
% 2.43/1.16 |
% 2.43/1.16 | Instantiating (19) with all_8_0_7 yields:
% 2.43/1.16 | (20) reliability(all_0_6_6, all_8_0_7, all_0_3_3)
% 2.43/1.16 |
% 2.43/1.16 | Instantiating (17) with all_10_0_8 yields:
% 2.43/1.16 | (21) reliability(all_0_6_6, all_10_0_8, all_0_2_2)
% 2.43/1.16 |
% 2.43/1.16 | Instantiating (16) with all_12_0_9 yields:
% 2.43/1.16 | (22) accountability(all_0_6_6, all_12_0_9, all_0_2_2)
% 2.43/1.16 |
% 2.43/1.16 | Instantiating (18) with all_14_0_10 yields:
% 2.43/1.16 | (23) accountability(all_0_6_6, all_14_0_10, all_0_3_3)
% 2.43/1.16 |
% 2.43/1.16 | Instantiating formula (13) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_12_0_9, all_14_0_10, all_10_0_8, all_8_0_7, all_0_6_6 and discharging atoms reorganization(all_0_6_6, all_0_1_1, all_0_0_0), greater(all_0_2_2, all_0_3_3), accountability(all_0_6_6, all_14_0_10, all_0_3_3), accountability(all_0_6_6, all_12_0_9, all_0_2_2), reliability(all_0_6_6, all_10_0_8, all_0_2_2), reliability(all_0_6_6, all_8_0_7, all_0_3_3), organization(all_0_6_6, all_0_2_2), organization(all_0_6_6, all_0_3_3), ~ greater(all_0_1_1, all_0_3_3), ~ greater(all_0_2_2, all_0_0_0), yields:
% 2.43/1.16 | (24) greater(all_14_0_10, all_12_0_9)
% 2.43/1.16 |
% 2.43/1.16 | Instantiating formula (3) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_12_0_9, all_14_0_10, all_10_0_8, all_8_0_7, all_0_6_6 and discharging atoms reorganization(all_0_6_6, all_0_1_1, all_0_0_0), greater(all_0_2_2, all_0_3_3), accountability(all_0_6_6, all_14_0_10, all_0_3_3), accountability(all_0_6_6, all_12_0_9, all_0_2_2), reliability(all_0_6_6, all_10_0_8, all_0_2_2), reliability(all_0_6_6, all_8_0_7, all_0_3_3), organization(all_0_6_6, all_0_2_2), organization(all_0_6_6, all_0_3_3), ~ greater(all_0_1_1, all_0_3_3), ~ greater(all_0_2_2, all_0_0_0), yields:
% 2.43/1.16 | (25) greater(all_8_0_7, all_10_0_8)
% 2.43/1.17 |
% 2.43/1.17 | Instantiating formula (15) with all_0_3_3, all_0_2_2, all_0_5_5, all_0_4_4, all_14_0_10, all_12_0_9, all_8_0_7, all_10_0_8, all_0_6_6, all_0_6_6 and discharging atoms greater(all_14_0_10, all_12_0_9), greater(all_8_0_7, all_10_0_8), survival_chance(all_0_6_6, all_0_4_4, all_0_2_2), survival_chance(all_0_6_6, all_0_5_5, all_0_3_3), accountability(all_0_6_6, all_14_0_10, all_0_3_3), accountability(all_0_6_6, all_12_0_9, all_0_2_2), reliability(all_0_6_6, all_10_0_8, all_0_2_2), reliability(all_0_6_6, all_8_0_7, all_0_3_3), organization(all_0_6_6, all_0_2_2), organization(all_0_6_6, all_0_3_3), ~ greater(all_0_5_5, all_0_4_4), yields:
% 2.43/1.17 | (26) $false
% 2.43/1.17 |
% 2.43/1.17 |-The branch is then unsatisfiable
% 2.43/1.17 % SZS output end Proof for theBenchmark
% 2.43/1.17
% 2.43/1.17 676ms
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