TSTP Solution File: MGT007+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT007+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 22:06:56 EDT 2022
% Result : Theorem 1.89s 1.03s
% Output : Proof 2.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : MGT007+1 : TPTP v8.1.0. Released v2.0.0.
% 0.02/0.09 % Command : ePrincess-casc -timeout=%d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Thu Jun 9 07:33:22 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.12/0.46 ____ _
% 0.12/0.46 ___ / __ \_____(_)___ ________ __________
% 0.12/0.46 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.12/0.46 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.12/0.46 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.12/0.46
% 0.12/0.46 A Theorem Prover for First-Order Logic
% 0.12/0.46 (ePrincess v.1.0)
% 0.12/0.46
% 0.12/0.46 (c) Philipp Rümmer, 2009-2015
% 0.12/0.46 (c) Peter Backeman, 2014-2015
% 0.12/0.46 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.12/0.46 Free software under GNU Lesser General Public License (LGPL).
% 0.12/0.46 Bug reports to peter@backeman.se
% 0.12/0.46
% 0.12/0.46 For more information, visit http://user.uu.se/~petba168/breu/
% 0.12/0.46
% 0.12/0.46 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.12/0.51 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.07/0.73 Prover 0: Preprocessing ...
% 1.36/0.86 Prover 0: Constructing countermodel ...
% 1.89/1.03 Prover 0: proved (521ms)
% 1.89/1.03
% 1.89/1.03 No countermodel exists, formula is valid
% 1.89/1.03 % SZS status Theorem for theBenchmark
% 1.89/1.03
% 1.89/1.03 Generating proof ... found it (size 14)
% 2.51/1.20
% 2.51/1.20 % SZS output start Proof for theBenchmark
% 2.51/1.20 Assumed formulas after preprocessing and simplification:
% 2.51/1.20 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (reorganization(v0, v5, v6) & greater(v4, v3) & reproducibility(v0, v2, v4) & reproducibility(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(v16, v15) | ~ reproducibility(v8, v16, v10) | ~ reproducibility(v7, v15, v9) | ~ accountability(v8, v14, v10) | ~ accountability(v7, v13, v9) | ~ reliability(v8, v12, v10) | ~ reliability(v7, v11, v9) | ~ organization(v8, v10) | ~ organization(v7, v9) | greater(v14, v13)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ greater(v16, v15) | ~ reproducibility(v8, v16, v10) | ~ reproducibility(v7, v15, v9) | ~ accountability(v8, v14, v10) | ~ accountability(v7, v13, v9) | ~ reliability(v8, v12, v10) | ~ reliability(v7, v11, v9) | ~ organization(v8, v10) | ~ organization(v7, v9) | greater(v12, v11)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ greater(v14, v13) | ~ greater(v12, v11) | ~ reproducibility(v8, v16, v10) | ~ reproducibility(v7, v15, v9) | ~ accountability(v8, v14, v10) | ~ accountability(v7, v13, v9) | ~ reliability(v8, v12, v10) | ~ reliability(v7, v11, v9) | ~ organization(v8, v10) | ~ organization(v7, v9) | greater(v16, v15)) & ! [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] : reproducibility(v7, v9, v8)) & ! [v7] : ! [v8] : ( ~ organization(v7, v8) | ? [v9] : accountability(v7, v9, v8)) & ! [v7] : ! [v8] : ( ~ organization(v7, v8) | ? [v9] : reliability(v7, v9, v8)))
% 2.51/1.21 | 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:
% 2.51/1.21 | (1) reorganization(all_0_6_6, all_0_1_1, all_0_0_0) & greater(all_0_2_2, all_0_3_3) & reproducibility(all_0_6_6, all_0_4_4, all_0_2_2) & reproducibility(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(v9, v8) | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v7, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ greater(v9, v8) | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v5, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ greater(v7, v6) | ~ greater(v5, v4) | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v9, v8)) & ! [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] : reproducibility(v0, v2, v1)) & ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : accountability(v0, v2, v1)) & ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : reliability(v0, v2, v1))
% 2.51/1.22 |
% 2.51/1.22 | Applying alpha-rule on (1) yields:
% 2.51/1.22 | (2) reproducibility(all_0_6_6, all_0_5_5, all_0_3_3)
% 2.51/1.22 | (3) ~ greater(all_0_2_2, all_0_0_0)
% 2.51/1.22 | (4) ~ greater(all_0_5_5, all_0_4_4)
% 2.51/1.22 | (5) reproducibility(all_0_6_6, all_0_4_4, all_0_2_2)
% 2.51/1.22 | (6) ! [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))
% 2.51/1.22 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ greater(v9, v8) | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v5, v4))
% 2.51/1.22 | (8) reorganization(all_0_6_6, all_0_1_1, all_0_0_0)
% 2.51/1.22 | (9) ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : reliability(v0, v2, v1))
% 2.51/1.23 | (10) organization(all_0_6_6, all_0_3_3)
% 2.51/1.23 | (11) ~ greater(all_0_1_1, all_0_3_3)
% 2.62/1.23 | (12) greater(all_0_2_2, all_0_3_3)
% 2.62/1.23 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ greater(v7, v6) | ~ greater(v5, v4) | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v9, v8))
% 2.62/1.23 | (14) ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : accountability(v0, v2, v1))
% 2.62/1.23 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ greater(v9, v8) | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v7, v6))
% 2.62/1.23 | (16) ! [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))
% 2.62/1.23 | (17) organization(all_0_6_6, all_0_2_2)
% 2.62/1.23 | (18) ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : reproducibility(v0, v2, v1))
% 2.62/1.23 |
% 2.62/1.23 | Instantiating formula (14) with all_0_2_2, all_0_6_6 and discharging atoms organization(all_0_6_6, all_0_2_2), yields:
% 2.62/1.23 | (19) ? [v0] : accountability(all_0_6_6, v0, all_0_2_2)
% 2.62/1.23 |
% 2.62/1.23 | Instantiating formula (9) with all_0_2_2, all_0_6_6 and discharging atoms organization(all_0_6_6, all_0_2_2), yields:
% 2.62/1.23 | (20) ? [v0] : reliability(all_0_6_6, v0, all_0_2_2)
% 2.62/1.23 |
% 2.62/1.23 | Instantiating formula (14) with all_0_3_3, all_0_6_6 and discharging atoms organization(all_0_6_6, all_0_3_3), yields:
% 2.62/1.23 | (21) ? [v0] : accountability(all_0_6_6, v0, all_0_3_3)
% 2.62/1.23 |
% 2.62/1.23 | Instantiating formula (9) with all_0_3_3, all_0_6_6 and discharging atoms organization(all_0_6_6, all_0_3_3), yields:
% 2.62/1.23 | (22) ? [v0] : reliability(all_0_6_6, v0, all_0_3_3)
% 2.62/1.23 |
% 2.62/1.23 | Instantiating (22) with all_8_0_7 yields:
% 2.62/1.23 | (23) reliability(all_0_6_6, all_8_0_7, all_0_3_3)
% 2.62/1.23 |
% 2.62/1.23 | Instantiating (19) with all_12_0_9 yields:
% 2.62/1.23 | (24) accountability(all_0_6_6, all_12_0_9, all_0_2_2)
% 2.62/1.23 |
% 2.62/1.23 | Instantiating (20) with all_16_0_11 yields:
% 2.62/1.23 | (25) reliability(all_0_6_6, all_16_0_11, all_0_2_2)
% 2.62/1.23 |
% 2.62/1.23 | Instantiating (21) with all_18_0_12 yields:
% 2.62/1.23 | (26) accountability(all_0_6_6, all_18_0_12, all_0_3_3)
% 2.62/1.23 |
% 2.62/1.23 | Instantiating formula (6) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_12_0_9, all_18_0_12, all_16_0_11, 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_18_0_12, all_0_3_3), accountability(all_0_6_6, all_12_0_9, all_0_2_2), reliability(all_0_6_6, all_16_0_11, 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:
% 2.62/1.23 | (27) greater(all_18_0_12, all_12_0_9)
% 2.62/1.23 |
% 2.62/1.23 | Instantiating formula (16) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_12_0_9, all_18_0_12, all_16_0_11, 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_18_0_12, all_0_3_3), accountability(all_0_6_6, all_12_0_9, all_0_2_2), reliability(all_0_6_6, all_16_0_11, 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:
% 2.62/1.23 | (28) greater(all_8_0_7, all_16_0_11)
% 2.62/1.23 |
% 2.62/1.24 | Instantiating formula (13) with all_0_5_5, all_0_4_4, all_18_0_12, all_12_0_9, all_8_0_7, all_16_0_11, all_0_3_3, all_0_2_2, all_0_6_6, all_0_6_6 and discharging atoms greater(all_18_0_12, all_12_0_9), greater(all_8_0_7, all_16_0_11), reproducibility(all_0_6_6, all_0_4_4, all_0_2_2), reproducibility(all_0_6_6, all_0_5_5, all_0_3_3), accountability(all_0_6_6, all_18_0_12, all_0_3_3), accountability(all_0_6_6, all_12_0_9, all_0_2_2), reliability(all_0_6_6, all_16_0_11, 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:
% 2.64/1.24 | (29) $false
% 2.64/1.24 |
% 2.64/1.24 |-The branch is then unsatisfiable
% 2.64/1.24 % SZS output end Proof for theBenchmark
% 2.64/1.24
% 2.64/1.24 766ms
%------------------------------------------------------------------------------