TSTP Solution File: MGT006+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT006+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 1.92s 1.15s
% Output : Proof 2.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT006+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 08:12:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.59 ____ _
% 0.59/0.59 ___ / __ \_____(_)___ ________ __________
% 0.59/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.59/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.59/0.59
% 0.59/0.59 A Theorem Prover for First-Order Logic
% 0.59/0.59 (ePrincess v.1.0)
% 0.59/0.59
% 0.59/0.59 (c) Philipp Rümmer, 2009-2015
% 0.59/0.59 (c) Peter Backeman, 2014-2015
% 0.59/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.59 Bug reports to peter@backeman.se
% 0.59/0.59
% 0.59/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.59
% 0.59/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.46/0.90 Prover 0: Preprocessing ...
% 1.76/1.02 Prover 0: Constructing countermodel ...
% 1.92/1.15 Prover 0: proved (511ms)
% 1.92/1.15
% 1.92/1.15 No countermodel exists, formula is valid
% 1.92/1.15 % SZS status Theorem for theBenchmark
% 1.92/1.15
% 1.92/1.15 Generating proof ... found it (size 14)
% 2.56/1.30
% 2.56/1.30 % SZS output start Proof for theBenchmark
% 2.56/1.30 Assumed formulas after preprocessing and simplification:
% 2.56/1.30 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (reorganization_free(v0, v5, v6) & 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) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ greater(v16, v15) | ~ accountability(v8, v14, v10) | ~ accountability(v7, v13, v9) | ~ reliability(v8, v12, v10) | ~ reliability(v7, v11, v9) | ~ reproducibility(v8, v16, v10) | ~ reproducibility(v7, v15, v9) | ~ organization(v8, v10) | ~ organization(v7, v9) | greater(v14, v13)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ greater(v16, v15) | ~ accountability(v8, v14, v10) | ~ accountability(v7, v13, v9) | ~ reliability(v8, v12, v10) | ~ reliability(v7, v11, v9) | ~ reproducibility(v8, v16, v10) | ~ reproducibility(v7, v15, 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) | ~ accountability(v8, v14, v10) | ~ accountability(v7, v13, v9) | ~ reliability(v8, v12, v10) | ~ reliability(v7, v11, v9) | ~ reproducibility(v8, v16, v10) | ~ reproducibility(v7, v15, v9) | ~ organization(v8, v10) | ~ organization(v7, v9) | greater(v16, v15)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ reorganization_free(v7, v10, v11) | ~ greater(v11, v10) | ~ reproducibility(v7, v9, v11) | ~ reproducibility(v7, v8, v10) | ~ organization(v7, v11) | ~ organization(v7, v10) | greater(v9, v8)) & ! [v7] : ! [v8] : ( ~ organization(v7, v8) | ? [v9] : reproducibility(v7, v9, v8)) & ( ~ greater(v4, v3) | ~ greater(v2, v1)))
% 2.56/1.31 | 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:
% 2.56/1.31 | (1) reorganization_free(all_0_6_6, all_0_1_1, all_0_0_0) & greater(all_0_0_0, all_0_1_1) & accountability(all_0_6_6, all_0_2_2, all_0_0_0) & accountability(all_0_6_6, all_0_3_3, all_0_1_1) & reliability(all_0_6_6, all_0_4_4, all_0_0_0) & reliability(all_0_6_6, all_0_5_5, all_0_1_1) & organization(all_0_6_6, all_0_0_0) & organization(all_0_6_6, all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ greater(v9, v8) | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v7, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ greater(v9, v8) | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, 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) | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v9, v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ reorganization_free(v0, v3, v4) | ~ greater(v4, v3) | ~ reproducibility(v0, v2, v4) | ~ reproducibility(v0, v1, v3) | ~ organization(v0, v4) | ~ organization(v0, v3) | greater(v2, v1)) & ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : reproducibility(v0, v2, v1)) & ( ~ greater(all_0_2_2, all_0_3_3) | ~ greater(all_0_4_4, all_0_5_5))
% 2.56/1.32 |
% 2.56/1.32 | Applying alpha-rule on (1) yields:
% 2.56/1.32 | (2) ~ greater(all_0_2_2, all_0_3_3) | ~ greater(all_0_4_4, all_0_5_5)
% 2.56/1.32 | (3) accountability(all_0_6_6, all_0_2_2, all_0_0_0)
% 2.56/1.32 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ greater(v9, v8) | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v5, v4))
% 2.56/1.32 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ greater(v9, v8) | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v7, v6))
% 2.56/1.32 | (6) organization(all_0_6_6, all_0_0_0)
% 2.56/1.32 | (7) accountability(all_0_6_6, all_0_3_3, all_0_1_1)
% 2.56/1.32 | (8) reorganization_free(all_0_6_6, all_0_1_1, all_0_0_0)
% 2.56/1.32 | (9) reliability(all_0_6_6, all_0_4_4, all_0_0_0)
% 2.56/1.32 | (10) reliability(all_0_6_6, all_0_5_5, all_0_1_1)
% 2.56/1.32 | (11) greater(all_0_0_0, all_0_1_1)
% 2.56/1.32 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ reorganization_free(v0, v3, v4) | ~ greater(v4, v3) | ~ reproducibility(v0, v2, v4) | ~ reproducibility(v0, v1, v3) | ~ organization(v0, v4) | ~ organization(v0, v3) | greater(v2, v1))
% 2.56/1.32 | (13) ! [v0] : ! [v1] : ( ~ organization(v0, v1) | ? [v2] : reproducibility(v0, v2, v1))
% 2.56/1.32 | (14) organization(all_0_6_6, all_0_1_1)
% 2.56/1.32 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ greater(v7, v6) | ~ greater(v5, v4) | ~ accountability(v1, v7, v3) | ~ accountability(v0, v6, v2) | ~ reliability(v1, v5, v3) | ~ reliability(v0, v4, v2) | ~ reproducibility(v1, v9, v3) | ~ reproducibility(v0, v8, v2) | ~ organization(v1, v3) | ~ organization(v0, v2) | greater(v9, v8))
% 2.56/1.33 |
% 2.56/1.33 | Instantiating formula (13) with all_0_0_0, all_0_6_6 and discharging atoms organization(all_0_6_6, all_0_0_0), yields:
% 2.56/1.33 | (16) ? [v0] : reproducibility(all_0_6_6, v0, all_0_0_0)
% 2.56/1.33 |
% 2.56/1.33 | Instantiating formula (13) with all_0_1_1, all_0_6_6 and discharging atoms organization(all_0_6_6, all_0_1_1), yields:
% 2.56/1.33 | (17) ? [v0] : reproducibility(all_0_6_6, v0, all_0_1_1)
% 2.56/1.33 |
% 2.56/1.33 | Instantiating (17) with all_8_0_7 yields:
% 2.56/1.33 | (18) reproducibility(all_0_6_6, all_8_0_7, all_0_1_1)
% 2.56/1.33 |
% 2.56/1.33 | Instantiating (16) with all_10_0_8 yields:
% 2.56/1.33 | (19) reproducibility(all_0_6_6, all_10_0_8, all_0_0_0)
% 2.56/1.33 |
% 2.56/1.33 | Instantiating formula (12) with all_0_0_0, all_0_1_1, all_10_0_8, all_8_0_7, all_0_6_6 and discharging atoms reorganization_free(all_0_6_6, all_0_1_1, all_0_0_0), greater(all_0_0_0, all_0_1_1), reproducibility(all_0_6_6, all_10_0_8, all_0_0_0), reproducibility(all_0_6_6, all_8_0_7, all_0_1_1), organization(all_0_6_6, all_0_0_0), organization(all_0_6_6, all_0_1_1), yields:
% 2.56/1.33 | (20) greater(all_10_0_8, all_8_0_7)
% 2.56/1.33 |
% 2.56/1.33 | Instantiating formula (5) with all_10_0_8, all_8_0_7, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_0_0, all_0_1_1, all_0_6_6, all_0_6_6 and discharging atoms greater(all_10_0_8, all_8_0_7), accountability(all_0_6_6, all_0_2_2, all_0_0_0), accountability(all_0_6_6, all_0_3_3, all_0_1_1), reliability(all_0_6_6, all_0_4_4, all_0_0_0), reliability(all_0_6_6, all_0_5_5, all_0_1_1), reproducibility(all_0_6_6, all_10_0_8, all_0_0_0), reproducibility(all_0_6_6, all_8_0_7, all_0_1_1), organization(all_0_6_6, all_0_0_0), organization(all_0_6_6, all_0_1_1), yields:
% 2.94/1.33 | (21) greater(all_0_2_2, all_0_3_3)
% 2.94/1.33 |
% 2.94/1.33 | Instantiating formula (4) with all_10_0_8, all_8_0_7, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_0_0, all_0_1_1, all_0_6_6, all_0_6_6 and discharging atoms greater(all_10_0_8, all_8_0_7), accountability(all_0_6_6, all_0_2_2, all_0_0_0), accountability(all_0_6_6, all_0_3_3, all_0_1_1), reliability(all_0_6_6, all_0_4_4, all_0_0_0), reliability(all_0_6_6, all_0_5_5, all_0_1_1), reproducibility(all_0_6_6, all_10_0_8, all_0_0_0), reproducibility(all_0_6_6, all_8_0_7, all_0_1_1), organization(all_0_6_6, all_0_0_0), organization(all_0_6_6, all_0_1_1), yields:
% 2.94/1.33 | (22) greater(all_0_4_4, all_0_5_5)
% 2.94/1.33 |
% 2.94/1.33 +-Applying beta-rule and splitting (2), into two cases.
% 2.94/1.33 |-Branch one:
% 2.94/1.33 | (23) ~ greater(all_0_2_2, all_0_3_3)
% 2.94/1.33 |
% 2.94/1.33 | Using (21) and (23) yields:
% 2.94/1.33 | (24) $false
% 2.94/1.33 |
% 2.94/1.33 |-The branch is then unsatisfiable
% 2.94/1.33 |-Branch two:
% 2.94/1.33 | (21) greater(all_0_2_2, all_0_3_3)
% 2.94/1.33 | (26) ~ greater(all_0_4_4, all_0_5_5)
% 2.94/1.33 |
% 2.94/1.33 | Using (22) and (26) yields:
% 2.94/1.33 | (24) $false
% 2.94/1.33 |
% 2.94/1.33 |-The branch is then unsatisfiable
% 2.94/1.33 % SZS output end Proof for theBenchmark
% 2.94/1.33
% 2.94/1.33 734ms
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