%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : MGT045+1 : TPTP v8.1.0. Released v2.4.0.
% 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 22:07:09 EDT 2022

% Result   : Theorem 2.16s 1.12s
% Output   : Proof 3.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.08  % Problem  : MGT045+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.08  % Command  : ePrincess-casc -timeout=%d %s
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 600
% 0.07/0.27  % DateTime : Thu Jun  9 11:47:52 EDT 2022
% 0.07/0.27  % CPUTime  : 
% 0.11/0.48          ____       _                          
% 0.11/0.48    ___  / __ \_____(_)___  ________  __________
% 0.11/0.48   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.11/0.48  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.11/0.48  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.11/0.48  
% 0.11/0.48  A Theorem Prover for First-Order Logic
% 0.11/0.48  (ePrincess v.1.0)
% 0.11/0.48  
% 0.11/0.48  (c) Philipp Rümmer, 2009-2015
% 0.11/0.48  (c) Peter Backeman, 2014-2015
% 0.11/0.48  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.11/0.48  Free software under GNU Lesser General Public License (LGPL).
% 0.11/0.48  Bug reports to peter@backeman.se
% 0.11/0.48  
% 0.11/0.48  For more information, visit http://user.uu.se/~petba168/breu/
% 0.11/0.48  
% 0.11/0.48  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.11/0.53  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.29/0.79  Prover 0: Preprocessing ...
% 1.77/0.97  Prover 0: Warning: ignoring some quantifiers
% 1.77/1.00  Prover 0: Constructing countermodel ...
% 2.16/1.12  Prover 0: proved (588ms)
% 2.16/1.12  
% 2.16/1.12  No countermodel exists, formula is valid
% 2.16/1.12  % SZS status Theorem for theBenchmark
% 2.16/1.12  
% 2.16/1.12  Generating proof ... Warning: ignoring some quantifiers
% 3.03/1.36  found it (size 35)
% 3.03/1.36  
% 3.03/1.36  % SZS output start Proof for theBenchmark
% 3.03/1.36  Assumed formulas after preprocessing and simplification: 
% 3.03/1.36  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (age(v0, v2) = v3 & age(v0, v1) = v4 & position(v0, v2) = v5 & position(v0, v1) = v6 & organization(v0) & greater(v3, v4) &  ~ greater(v5, v6) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (age(v7, v9) = v10) |  ~ (age(v7, v8) = v11) |  ~ organization(v7) |  ~ greater(v10, v11) |  ? [v12] :  ? [v13] : (external_ties(v7, v9) = v12 & external_ties(v7, v8) = v13 & greater(v12, v13))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (age(v7, v9) = v10) |  ~ (external_ties(v7, v8) = v11) |  ~ organization(v7) |  ? [v12] :  ? [v13] : (age(v7, v8) = v12 & external_ties(v7, v9) = v13 & ( ~ greater(v10, v12) | greater(v13, v11)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (age(v7, v8) = v10) |  ~ (external_ties(v7, v9) = v11) |  ~ organization(v7) |  ? [v12] :  ? [v13] : (age(v7, v9) = v12 & external_ties(v7, v8) = v13 & ( ~ greater(v12, v10) | greater(v11, v13)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (position(v7, v9) = v11) |  ~ (external_ties(v7, v8) = v10) |  ~ organization(v7) |  ? [v12] :  ? [v13] : (position(v7, v8) = v13 & external_ties(v7, v9) = v12 & ( ~ (v12 = v10) | v13 = v11) & ( ~ greater(v12, v10) | greater(v11, v13)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (position(v7, v9) = v10) |  ~ (position(v7, v8) = v11) |  ~ organization(v7) |  ? [v12] :  ? [v13] : (external_ties(v7, v9) = v12 & external_ties(v7, v8) = v13 & ( ~ (v13 = v12) | v11 = v10) & ( ~ greater(v12, v13) | greater(v10, v11)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (position(v7, v8) = v11) |  ~ (external_ties(v7, v9) = v10) |  ~ organization(v7) |  ? [v12] :  ? [v13] : (position(v7, v9) = v13 & external_ties(v7, v8) = v12 & ( ~ (v12 = v10) | v13 = v11) & ( ~ greater(v10, v12) | greater(v13, v11)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (external_ties(v7, v9) = v10) |  ~ (external_ties(v7, v8) = v11) |  ~ organization(v7) | greater(v10, v11) |  ? [v12] :  ? [v13] : (age(v7, v9) = v12 & age(v7, v8) = v13 &  ~ greater(v12, v13))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (external_ties(v7, v9) = v10) |  ~ (external_ties(v7, v8) = v11) |  ~ organization(v7) |  ? [v12] :  ? [v13] : (position(v7, v9) = v12 & position(v7, v8) = v13 & ( ~ (v11 = v10) | v13 = v12) & ( ~ greater(v10, v11) | greater(v12, v13)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (age(v10, v9) = v8) |  ~ (age(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (position(v10, v9) = v8) |  ~ (position(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (external_ties(v10, v9) = v8) |  ~ (external_ties(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ greater(v8, v9) |  ~ greater(v7, v8) | greater(v7, v9)) &  ! [v7] :  ! [v8] : (v8 = v7 |  ~ greater_or_equal(v7, v8) | greater(v7, v8)) &  ! [v7] :  ! [v8] : (v8 = v7 |  ~ smaller_or_equal(v7, v8) | smaller(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ greater(v8, v7) |  ~ greater(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ greater(v8, v7) | smaller(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ greater(v7, v8) | greater_or_equal(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ smaller(v7, v8) | greater(v8, v7)) &  ! [v7] :  ! [v8] : ( ~ smaller(v7, v8) | smaller_or_equal(v7, v8)) &  ? [v7] :  ? [v8] : (v8 = v7 | greater(v7, v8) | smaller(v7, v8)) &  ? [v7] : greater_or_equal(v7, v7) &  ? [v7] : smaller_or_equal(v7, v7))
% 3.12/1.40  | 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:
% 3.12/1.40  | (1) age(all_0_6_6, all_0_4_4) = all_0_3_3 & age(all_0_6_6, all_0_5_5) = all_0_2_2 & position(all_0_6_6, all_0_4_4) = all_0_1_1 & position(all_0_6_6, all_0_5_5) = all_0_0_0 & organization(all_0_6_6) & greater(all_0_3_3, all_0_2_2) &  ~ greater(all_0_1_1, all_0_0_0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (age(v0, v2) = v3) |  ~ (age(v0, v1) = v4) |  ~ organization(v0) |  ~ greater(v3, v4) |  ? [v5] :  ? [v6] : (external_ties(v0, v2) = v5 & external_ties(v0, v1) = v6 & greater(v5, v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (age(v0, v2) = v3) |  ~ (external_ties(v0, v1) = v4) |  ~ organization(v0) |  ? [v5] :  ? [v6] : (age(v0, v1) = v5 & external_ties(v0, v2) = v6 & ( ~ greater(v3, v5) | greater(v6, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (age(v0, v1) = v3) |  ~ (external_ties(v0, v2) = v4) |  ~ organization(v0) |  ? [v5] :  ? [v6] : (age(v0, v2) = v5 & external_ties(v0, v1) = v6 & ( ~ greater(v5, v3) | greater(v4, v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (position(v0, v2) = v4) |  ~ (external_ties(v0, v1) = v3) |  ~ organization(v0) |  ? [v5] :  ? [v6] : (position(v0, v1) = v6 & external_ties(v0, v2) = v5 & ( ~ (v5 = v3) | v6 = v4) & ( ~ greater(v5, v3) | greater(v4, v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (position(v0, v2) = v3) |  ~ (position(v0, v1) = v4) |  ~ organization(v0) |  ? [v5] :  ? [v6] : (external_ties(v0, v2) = v5 & external_ties(v0, v1) = v6 & ( ~ (v6 = v5) | v4 = v3) & ( ~ greater(v5, v6) | greater(v3, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (position(v0, v1) = v4) |  ~ (external_ties(v0, v2) = v3) |  ~ organization(v0) |  ? [v5] :  ? [v6] : (position(v0, v2) = v6 & external_ties(v0, v1) = v5 & ( ~ (v5 = v3) | v6 = v4) & ( ~ greater(v3, v5) | greater(v6, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (external_ties(v0, v2) = v3) |  ~ (external_ties(v0, v1) = v4) |  ~ organization(v0) | greater(v3, v4) |  ? [v5] :  ? [v6] : (age(v0, v2) = v5 & age(v0, v1) = v6 &  ~ greater(v5, v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (external_ties(v0, v2) = v3) |  ~ (external_ties(v0, v1) = v4) |  ~ organization(v0) |  ? [v5] :  ? [v6] : (position(v0, v2) = v5 & position(v0, v1) = v6 & ( ~ (v4 = v3) | v6 = v5) & ( ~ greater(v3, v4) | greater(v5, v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (age(v3, v2) = v1) |  ~ (age(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (position(v3, v2) = v1) |  ~ (position(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (external_ties(v3, v2) = v1) |  ~ (external_ties(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ greater(v1, v2) |  ~ greater(v0, v1) | greater(v0, v2)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ greater_or_equal(v0, v1) | greater(v0, v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ smaller_or_equal(v0, v1) | smaller(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ greater(v1, v0) |  ~ greater(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ greater(v1, v0) | smaller(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ greater(v0, v1) | greater_or_equal(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ smaller(v0, v1) | greater(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ smaller(v0, v1) | smaller_or_equal(v0, v1)) &  ? [v0] :  ? [v1] : (v1 = v0 | greater(v0, v1) | smaller(v0, v1)) &  ? [v0] : greater_or_equal(v0, v0) &  ? [v0] : smaller_or_equal(v0, v0)
% 3.12/1.41  |
% 3.12/1.41  | Applying alpha-rule on (1) yields:
% 3.12/1.41  | (2) age(all_0_6_6, all_0_4_4) = all_0_3_3
% 3.12/1.41  | (3)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (position(v0, v2) = v4) |  ~ (external_ties(v0, v1) = v3) |  ~ organization(v0) |  ? [v5] :  ? [v6] : (position(v0, v1) = v6 & external_ties(v0, v2) = v5 & ( ~ (v5 = v3) | v6 = v4) & ( ~ greater(v5, v3) | greater(v4, v6))))
% 3.12/1.42  | (4)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (age(v0, v2) = v3) |  ~ (external_ties(v0, v1) = v4) |  ~ organization(v0) |  ? [v5] :  ? [v6] : (age(v0, v1) = v5 & external_ties(v0, v2) = v6 & ( ~ greater(v3, v5) | greater(v6, v4))))
% 3.12/1.42  | (5)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (position(v0, v2) = v3) |  ~ (position(v0, v1) = v4) |  ~ organization(v0) |  ? [v5] :  ? [v6] : (external_ties(v0, v2) = v5 & external_ties(v0, v1) = v6 & ( ~ (v6 = v5) | v4 = v3) & ( ~ greater(v5, v6) | greater(v3, v4))))
% 3.12/1.42  | (6)  ? [v0] :  ? [v1] : (v1 = v0 | greater(v0, v1) | smaller(v0, v1))
% 3.12/1.42  | (7)  ? [v0] : greater_or_equal(v0, v0)
% 3.12/1.42  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (external_ties(v3, v2) = v1) |  ~ (external_ties(v3, v2) = v0))
% 3.12/1.42  | (9)  ! [v0] :  ! [v1] : ( ~ greater(v0, v1) | greater_or_equal(v0, v1))
% 3.12/1.42  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (external_ties(v0, v2) = v3) |  ~ (external_ties(v0, v1) = v4) |  ~ organization(v0) | greater(v3, v4) |  ? [v5] :  ? [v6] : (age(v0, v2) = v5 & age(v0, v1) = v6 &  ~ greater(v5, v6)))
% 3.12/1.42  | (11)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (age(v3, v2) = v1) |  ~ (age(v3, v2) = v0))
% 3.12/1.42  | (12) greater(all_0_3_3, all_0_2_2)
% 3.12/1.42  | (13) organization(all_0_6_6)
% 3.12/1.42  | (14)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ greater(v1, v2) |  ~ greater(v0, v1) | greater(v0, v2))
% 3.12/1.42  | (15)  ! [v0] :  ! [v1] : ( ~ smaller(v0, v1) | smaller_or_equal(v0, v1))
% 3.12/1.42  | (16)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (age(v0, v2) = v3) |  ~ (age(v0, v1) = v4) |  ~ organization(v0) |  ~ greater(v3, v4) |  ? [v5] :  ? [v6] : (external_ties(v0, v2) = v5 & external_ties(v0, v1) = v6 & greater(v5, v6)))
% 3.12/1.42  | (17)  ! [v0] :  ! [v1] : ( ~ smaller(v0, v1) | greater(v1, v0))
% 3.12/1.42  | (18)  ! [v0] :  ! [v1] : ( ~ greater(v1, v0) | smaller(v0, v1))
% 3.12/1.42  | (19)  ~ greater(all_0_1_1, all_0_0_0)
% 3.12/1.42  | (20) age(all_0_6_6, all_0_5_5) = all_0_2_2
% 3.12/1.42  | (21)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (external_ties(v0, v2) = v3) |  ~ (external_ties(v0, v1) = v4) |  ~ organization(v0) |  ? [v5] :  ? [v6] : (position(v0, v2) = v5 & position(v0, v1) = v6 & ( ~ (v4 = v3) | v6 = v5) & ( ~ greater(v3, v4) | greater(v5, v6))))
% 3.12/1.42  | (22) position(all_0_6_6, all_0_5_5) = all_0_0_0
% 3.12/1.42  | (23)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (position(v3, v2) = v1) |  ~ (position(v3, v2) = v0))
% 3.12/1.42  | (24) position(all_0_6_6, all_0_4_4) = all_0_1_1
% 3.12/1.42  | (25)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ smaller_or_equal(v0, v1) | smaller(v0, v1))
% 3.12/1.42  | (26)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ greater_or_equal(v0, v1) | greater(v0, v1))
% 3.12/1.42  | (27)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (age(v0, v1) = v3) |  ~ (external_ties(v0, v2) = v4) |  ~ organization(v0) |  ? [v5] :  ? [v6] : (age(v0, v2) = v5 & external_ties(v0, v1) = v6 & ( ~ greater(v5, v3) | greater(v4, v6))))
% 3.12/1.43  | (28)  ? [v0] : smaller_or_equal(v0, v0)
% 3.12/1.43  | (29)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (position(v0, v1) = v4) |  ~ (external_ties(v0, v2) = v3) |  ~ organization(v0) |  ? [v5] :  ? [v6] : (position(v0, v2) = v6 & external_ties(v0, v1) = v5 & ( ~ (v5 = v3) | v6 = v4) & ( ~ greater(v3, v5) | greater(v6, v4))))
% 3.12/1.43  | (30)  ! [v0] :  ! [v1] : ( ~ greater(v1, v0) |  ~ greater(v0, v1))
% 3.12/1.43  |
% 3.12/1.43  | Instantiating formula (5) with all_0_0_0, all_0_1_1, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms position(all_0_6_6, all_0_4_4) = all_0_1_1, position(all_0_6_6, all_0_5_5) = all_0_0_0, organization(all_0_6_6), yields:
% 3.12/1.43  | (31)  ? [v0] :  ? [v1] : (external_ties(all_0_6_6, all_0_4_4) = v0 & external_ties(all_0_6_6, all_0_5_5) = v1 & ( ~ (v1 = v0) | all_0_0_0 = all_0_1_1) & ( ~ greater(v0, v1) | greater(all_0_1_1, all_0_0_0)))
% 3.12/1.43  |
% 3.12/1.43  | Instantiating formula (5) with all_0_1_1, all_0_0_0, all_0_5_5, all_0_4_4, all_0_6_6 and discharging atoms position(all_0_6_6, all_0_4_4) = all_0_1_1, position(all_0_6_6, all_0_5_5) = all_0_0_0, organization(all_0_6_6), yields:
% 3.12/1.43  | (32)  ? [v0] :  ? [v1] : (external_ties(all_0_6_6, all_0_4_4) = v1 & external_ties(all_0_6_6, all_0_5_5) = v0 & ( ~ (v1 = v0) | all_0_0_0 = all_0_1_1) & ( ~ greater(v0, v1) | greater(all_0_0_0, all_0_1_1)))
% 3.12/1.43  |
% 3.12/1.43  | Instantiating formula (5) with all_0_0_0, all_0_0_0, all_0_5_5, all_0_5_5, all_0_6_6 and discharging atoms position(all_0_6_6, all_0_5_5) = all_0_0_0, organization(all_0_6_6), yields:
% 3.12/1.43  | (33)  ? [v0] :  ? [v1] : (external_ties(all_0_6_6, all_0_5_5) = v1 & external_ties(all_0_6_6, all_0_5_5) = v0 & ( ~ greater(v0, v1) | greater(all_0_0_0, all_0_0_0)))
% 3.12/1.43  |
% 3.12/1.43  | Instantiating formula (16) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms age(all_0_6_6, all_0_4_4) = all_0_3_3, age(all_0_6_6, all_0_5_5) = all_0_2_2, organization(all_0_6_6), greater(all_0_3_3, all_0_2_2), yields:
% 3.12/1.43  | (34)  ? [v0] :  ? [v1] : (external_ties(all_0_6_6, all_0_4_4) = v0 & external_ties(all_0_6_6, all_0_5_5) = v1 & greater(v0, v1))
% 3.12/1.43  |
% 3.12/1.43  | Instantiating (32) with all_14_0_11, all_14_1_12 yields:
% 3.12/1.43  | (35) external_ties(all_0_6_6, all_0_4_4) = all_14_0_11 & external_ties(all_0_6_6, all_0_5_5) = all_14_1_12 & ( ~ (all_14_0_11 = all_14_1_12) | all_0_0_0 = all_0_1_1) & ( ~ greater(all_14_1_12, all_14_0_11) | greater(all_0_0_0, all_0_1_1))
% 3.12/1.43  |
% 3.12/1.43  | Applying alpha-rule on (35) yields:
% 3.12/1.43  | (36) external_ties(all_0_6_6, all_0_4_4) = all_14_0_11
% 3.12/1.43  | (37) external_ties(all_0_6_6, all_0_5_5) = all_14_1_12
% 3.12/1.43  | (38)  ~ (all_14_0_11 = all_14_1_12) | all_0_0_0 = all_0_1_1
% 3.12/1.43  | (39)  ~ greater(all_14_1_12, all_14_0_11) | greater(all_0_0_0, all_0_1_1)
% 3.12/1.43  |
% 3.12/1.43  | Instantiating (31) with all_18_0_15, all_18_1_16 yields:
% 3.12/1.43  | (40) external_ties(all_0_6_6, all_0_4_4) = all_18_1_16 & external_ties(all_0_6_6, all_0_5_5) = all_18_0_15 & ( ~ (all_18_0_15 = all_18_1_16) | all_0_0_0 = all_0_1_1) & ( ~ greater(all_18_1_16, all_18_0_15) | greater(all_0_1_1, all_0_0_0))
% 3.12/1.43  |
% 3.12/1.43  | Applying alpha-rule on (40) yields:
% 3.12/1.43  | (41) external_ties(all_0_6_6, all_0_4_4) = all_18_1_16
% 3.12/1.43  | (42) external_ties(all_0_6_6, all_0_5_5) = all_18_0_15
% 3.12/1.43  | (43)  ~ (all_18_0_15 = all_18_1_16) | all_0_0_0 = all_0_1_1
% 3.12/1.43  | (44)  ~ greater(all_18_1_16, all_18_0_15) | greater(all_0_1_1, all_0_0_0)
% 3.12/1.43  |
% 3.12/1.43  | Instantiating (34) with all_20_0_17, all_20_1_18 yields:
% 3.12/1.43  | (45) external_ties(all_0_6_6, all_0_4_4) = all_20_1_18 & external_ties(all_0_6_6, all_0_5_5) = all_20_0_17 & greater(all_20_1_18, all_20_0_17)
% 3.12/1.43  |
% 3.12/1.44  | Applying alpha-rule on (45) yields:
% 3.12/1.44  | (46) external_ties(all_0_6_6, all_0_4_4) = all_20_1_18
% 3.12/1.44  | (47) external_ties(all_0_6_6, all_0_5_5) = all_20_0_17
% 3.12/1.44  | (48) greater(all_20_1_18, all_20_0_17)
% 3.12/1.44  |
% 3.12/1.44  | Instantiating (33) with all_22_0_19, all_22_1_20 yields:
% 3.12/1.44  | (49) external_ties(all_0_6_6, all_0_5_5) = all_22_0_19 & external_ties(all_0_6_6, all_0_5_5) = all_22_1_20 & ( ~ greater(all_22_1_20, all_22_0_19) | greater(all_0_0_0, all_0_0_0))
% 3.12/1.44  |
% 3.12/1.44  | Applying alpha-rule on (49) yields:
% 3.12/1.44  | (50) external_ties(all_0_6_6, all_0_5_5) = all_22_0_19
% 3.12/1.44  | (51) external_ties(all_0_6_6, all_0_5_5) = all_22_1_20
% 3.12/1.44  | (52)  ~ greater(all_22_1_20, all_22_0_19) | greater(all_0_0_0, all_0_0_0)
% 3.12/1.44  |
% 3.12/1.44  +-Applying beta-rule and splitting (44), into two cases.
% 3.12/1.44  |-Branch one:
% 3.12/1.44  | (53)  ~ greater(all_18_1_16, all_18_0_15)
% 3.12/1.44  |
% 3.12/1.44  	| Instantiating formula (8) with all_0_6_6, all_0_4_4, all_18_1_16, all_20_1_18 and discharging atoms external_ties(all_0_6_6, all_0_4_4) = all_20_1_18, external_ties(all_0_6_6, all_0_4_4) = all_18_1_16, yields:
% 3.12/1.44  	| (54) all_20_1_18 = all_18_1_16
% 3.12/1.44  	|
% 3.12/1.44  	| Instantiating formula (8) with all_0_6_6, all_0_4_4, all_14_0_11, all_20_1_18 and discharging atoms external_ties(all_0_6_6, all_0_4_4) = all_20_1_18, external_ties(all_0_6_6, all_0_4_4) = all_14_0_11, yields:
% 3.12/1.44  	| (55) all_20_1_18 = all_14_0_11
% 3.12/1.44  	|
% 3.12/1.44  	| Instantiating formula (8) with all_0_6_6, all_0_5_5, all_22_1_20, all_22_0_19 and discharging atoms external_ties(all_0_6_6, all_0_5_5) = all_22_0_19, external_ties(all_0_6_6, all_0_5_5) = all_22_1_20, yields:
% 3.12/1.44  	| (56) all_22_0_19 = all_22_1_20
% 3.12/1.44  	|
% 3.12/1.44  	| Instantiating formula (8) with all_0_6_6, all_0_5_5, all_20_0_17, all_22_1_20 and discharging atoms external_ties(all_0_6_6, all_0_5_5) = all_22_1_20, external_ties(all_0_6_6, all_0_5_5) = all_20_0_17, yields:
% 3.12/1.44  	| (57) all_22_1_20 = all_20_0_17
% 3.12/1.44  	|
% 3.12/1.44  	| Instantiating formula (8) with all_0_6_6, all_0_5_5, all_18_0_15, all_20_0_17 and discharging atoms external_ties(all_0_6_6, all_0_5_5) = all_20_0_17, external_ties(all_0_6_6, all_0_5_5) = all_18_0_15, yields:
% 3.12/1.44  	| (58) all_20_0_17 = all_18_0_15
% 3.38/1.44  	|
% 3.38/1.44  	| Instantiating formula (8) with all_0_6_6, all_0_5_5, all_14_1_12, all_22_0_19 and discharging atoms external_ties(all_0_6_6, all_0_5_5) = all_22_0_19, external_ties(all_0_6_6, all_0_5_5) = all_14_1_12, yields:
% 3.38/1.44  	| (59) all_22_0_19 = all_14_1_12
% 3.38/1.44  	|
% 3.38/1.44  	| Combining equations (56,59) yields a new equation:
% 3.38/1.44  	| (60) all_22_1_20 = all_14_1_12
% 3.38/1.44  	|
% 3.38/1.44  	| Simplifying 60 yields:
% 3.38/1.44  	| (61) all_22_1_20 = all_14_1_12
% 3.38/1.44  	|
% 3.38/1.44  	| Combining equations (57,61) yields a new equation:
% 3.38/1.44  	| (62) all_20_0_17 = all_14_1_12
% 3.38/1.44  	|
% 3.38/1.44  	| Simplifying 62 yields:
% 3.38/1.44  	| (63) all_20_0_17 = all_14_1_12
% 3.38/1.44  	|
% 3.38/1.44  	| Combining equations (58,63) yields a new equation:
% 3.38/1.44  	| (64) all_18_0_15 = all_14_1_12
% 3.38/1.44  	|
% 3.38/1.44  	| Simplifying 64 yields:
% 3.38/1.44  	| (65) all_18_0_15 = all_14_1_12
% 3.38/1.44  	|
% 3.38/1.44  	| Combining equations (54,55) yields a new equation:
% 3.38/1.44  	| (66) all_18_1_16 = all_14_0_11
% 3.38/1.44  	|
% 3.38/1.44  	| Simplifying 66 yields:
% 3.38/1.44  	| (67) all_18_1_16 = all_14_0_11
% 3.38/1.44  	|
% 3.38/1.44  	| From (55)(63) and (48) follows:
% 3.38/1.44  	| (68) greater(all_14_0_11, all_14_1_12)
% 3.38/1.44  	|
% 3.38/1.44  	| From (67)(65) and (53) follows:
% 3.38/1.44  	| (69)  ~ greater(all_14_0_11, all_14_1_12)
% 3.38/1.44  	|
% 3.38/1.44  	| Using (68) and (69) yields:
% 3.38/1.44  	| (70) $false
% 3.38/1.44  	|
% 3.38/1.44  	|-The branch is then unsatisfiable
% 3.38/1.44  |-Branch two:
% 3.38/1.45  | (71) greater(all_18_1_16, all_18_0_15)
% 3.38/1.45  | (72) greater(all_0_1_1, all_0_0_0)
% 3.38/1.45  |
% 3.38/1.45  	| Using (72) and (19) yields:
% 3.38/1.45  	| (70) $false
% 3.38/1.45  	|
% 3.38/1.45  	|-The branch is then unsatisfiable
% 3.38/1.45  % SZS output end Proof for theBenchmark
% 3.38/1.45  
% 3.38/1.45  954ms
%------------------------------------------------------------------------------