%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SET623+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n024.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 : Tue Jul 19 00:20:55 EDT 2022

% Result   : Theorem 3.92s 1.59s
% Output   : Proof 7.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET623+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 21:26:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.55/0.57          ____       _                          
% 0.55/0.57    ___  / __ \_____(_)___  ________  __________
% 0.55/0.57   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.57  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.55/0.57  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.55/0.57  
% 0.55/0.57  A Theorem Prover for First-Order Logic
% 0.55/0.57  (ePrincess v.1.0)
% 0.55/0.57  
% 0.55/0.57  (c) Philipp Rümmer, 2009-2015
% 0.55/0.57  (c) Peter Backeman, 2014-2015
% 0.55/0.57  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.57  Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.57  Bug reports to peter@backeman.se
% 0.55/0.57  
% 0.55/0.57  For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.57  
% 0.55/0.57  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.55/0.62  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.43/0.89  Prover 0: Preprocessing ...
% 2.01/1.12  Prover 0: Warning: ignoring some quantifiers
% 2.17/1.14  Prover 0: Constructing countermodel ...
% 3.92/1.59  Prover 0: proved (966ms)
% 3.92/1.59  
% 3.92/1.59  No countermodel exists, formula is valid
% 3.92/1.59  % SZS status Theorem for theBenchmark
% 3.92/1.59  
% 3.92/1.59  Generating proof ... Warning: ignoring some quantifiers
% 7.17/2.33  found it (size 139)
% 7.17/2.33  
% 7.17/2.33  % SZS output start Proof for theBenchmark
% 7.17/2.33  Assumed formulas after preprocessing and simplification: 
% 7.17/2.33  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v6 = v4) & symmetric_difference(v3, v2) = v4 & symmetric_difference(v1, v2) = v5 & symmetric_difference(v0, v5) = v6 & symmetric_difference(v0, v1) = v3 &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (intersection(v7, v9) = v11) |  ~ (difference(v7, v8) = v10) |  ~ (union(v10, v11) = v12) |  ? [v13] : (difference(v8, v9) = v13 & difference(v7, v13) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (difference(v8, v9) = v11) |  ~ (difference(v7, v9) = v10) |  ~ (union(v10, v11) = v12) |  ? [v13] : (difference(v13, v9) = v12 & union(v7, v8) = v13)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (intersection(v10, v9) = v11) |  ~ (intersection(v7, v8) = v10) |  ? [v12] : (intersection(v8, v9) = v12 & intersection(v7, v12) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (intersection(v8, v9) = v10) |  ~ (intersection(v7, v10) = v11) |  ? [v12] : (intersection(v12, v9) = v11 & intersection(v7, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (intersection(v7, v8) = v10) |  ~ (difference(v9, v10) = v11) |  ~ (union(v7, v8) = v9) |  ? [v12] :  ? [v13] : (difference(v8, v7) = v13 & difference(v7, v8) = v12 & union(v12, v13) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (difference(v10, v9) = v11) |  ~ (difference(v7, v8) = v10) |  ? [v12] : (difference(v7, v12) = v11 & union(v8, v9) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (difference(v10, v9) = v11) |  ~ (union(v7, v8) = v10) |  ? [v12] :  ? [v13] : (difference(v8, v9) = v13 & difference(v7, v9) = v12 & union(v12, v13) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (difference(v8, v9) = v10) |  ~ (difference(v7, v10) = v11) |  ? [v12] :  ? [v13] : (intersection(v7, v9) = v13 & difference(v7, v8) = v12 & union(v12, v13) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (difference(v8, v7) = v10) |  ~ (difference(v7, v8) = v9) |  ~ (union(v9, v10) = v11) | symmetric_difference(v7, v8) = v11) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (difference(v8, v7) = v10) |  ~ (difference(v7, v8) = v9) |  ~ (union(v9, v10) = v11) |  ? [v12] :  ? [v13] : (intersection(v7, v8) = v13 & difference(v12, v13) = v11 & union(v7, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (difference(v7, v10) = v11) |  ~ (union(v8, v9) = v10) |  ? [v12] : (difference(v12, v9) = v11 & difference(v7, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (union(v10, v9) = v11) |  ~ (union(v7, v8) = v10) |  ? [v12] : (union(v8, v9) = v12 & union(v7, v12) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (union(v8, v9) = v10) |  ~ (union(v7, v10) = v11) |  ? [v12] : (union(v12, v9) = v11 & union(v7, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (intersection(v10, v9) = v8) |  ~ (intersection(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (difference(v10, v9) = v8) |  ~ (difference(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (union(v10, v9) = v8) |  ~ (union(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (symmetric_difference(v10, v9) = v8) |  ~ (symmetric_difference(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (intersection(v8, v7) = v9) | intersection(v7, v8) = v9) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (intersection(v7, v8) = v9) | intersection(v8, v7) = v9) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (union(v8, v7) = v9) | union(v7, v8) = v9) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (union(v7, v8) = v9) | union(v8, v7) = v9) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (symmetric_difference(v8, v7) = v9) | symmetric_difference(v7, v8) = v9) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (symmetric_difference(v7, v8) = v9) | symmetric_difference(v8, v7) = v9) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (symmetric_difference(v7, v8) = v9) |  ? [v10] :  ? [v11] : (difference(v8, v7) = v11 & difference(v7, v8) = v10 & union(v10, v11) = v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ member(v9, v7) |  ~ subset(v7, v8) | member(v9, v8)) &  ! [v7] :  ! [v8] : (v8 = v7 |  ~ subset(v8, v7) |  ~ subset(v7, v8)) &  ? [v7] :  ? [v8] : (v8 = v7 |  ? [v9] : (( ~ member(v9, v8) |  ~ member(v9, v7)) & (member(v9, v8) | member(v9, v7)))) &  ? [v7] :  ? [v8] : (subset(v7, v8) |  ? [v9] : (member(v9, v7) &  ~ member(v9, v8))) &  ? [v7] : subset(v7, v7))
% 7.45/2.37  | 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:
% 7.45/2.37  | (1)  ~ (all_0_0_0 = all_0_2_2) & symmetric_difference(all_0_3_3, all_0_4_4) = all_0_2_2 & symmetric_difference(all_0_5_5, all_0_4_4) = all_0_1_1 & symmetric_difference(all_0_6_6, all_0_1_1) = all_0_0_0 & symmetric_difference(all_0_6_6, all_0_5_5) = all_0_3_3 &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (intersection(v0, v2) = v4) |  ~ (difference(v0, v1) = v3) |  ~ (union(v3, v4) = v5) |  ? [v6] : (difference(v1, v2) = v6 & difference(v0, v6) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (difference(v1, v2) = v4) |  ~ (difference(v0, v2) = v3) |  ~ (union(v3, v4) = v5) |  ? [v6] : (difference(v6, v2) = v5 & union(v0, v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (intersection(v3, v2) = v4) |  ~ (intersection(v0, v1) = v3) |  ? [v5] : (intersection(v1, v2) = v5 & intersection(v0, v5) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (intersection(v1, v2) = v3) |  ~ (intersection(v0, v3) = v4) |  ? [v5] : (intersection(v5, v2) = v4 & intersection(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (intersection(v0, v1) = v3) |  ~ (difference(v2, v3) = v4) |  ~ (union(v0, v1) = v2) |  ? [v5] :  ? [v6] : (difference(v1, v0) = v6 & difference(v0, v1) = v5 & union(v5, v6) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (difference(v3, v2) = v4) |  ~ (difference(v0, v1) = v3) |  ? [v5] : (difference(v0, v5) = v4 & union(v1, v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (difference(v3, v2) = v4) |  ~ (union(v0, v1) = v3) |  ? [v5] :  ? [v6] : (difference(v1, v2) = v6 & difference(v0, v2) = v5 & union(v5, v6) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (difference(v1, v2) = v3) |  ~ (difference(v0, v3) = v4) |  ? [v5] :  ? [v6] : (intersection(v0, v2) = v6 & difference(v0, v1) = v5 & union(v5, v6) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (difference(v1, v0) = v3) |  ~ (difference(v0, v1) = v2) |  ~ (union(v2, v3) = v4) | symmetric_difference(v0, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (difference(v1, v0) = v3) |  ~ (difference(v0, v1) = v2) |  ~ (union(v2, v3) = v4) |  ? [v5] :  ? [v6] : (intersection(v0, v1) = v6 & difference(v5, v6) = v4 & union(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (difference(v0, v3) = v4) |  ~ (union(v1, v2) = v3) |  ? [v5] : (difference(v5, v2) = v4 & difference(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (union(v3, v2) = v4) |  ~ (union(v0, v1) = v3) |  ? [v5] : (union(v1, v2) = v5 & union(v0, v5) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (union(v1, v2) = v3) |  ~ (union(v0, v3) = v4) |  ? [v5] : (union(v5, v2) = v4 & union(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (intersection(v3, v2) = v1) |  ~ (intersection(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (difference(v3, v2) = v1) |  ~ (difference(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (union(v3, v2) = v1) |  ~ (union(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (symmetric_difference(v3, v2) = v1) |  ~ (symmetric_difference(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (intersection(v1, v0) = v2) | intersection(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (intersection(v0, v1) = v2) | intersection(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v1, v0) = v2) | union(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v0, v1) = v2) | union(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (symmetric_difference(v1, v0) = v2) | symmetric_difference(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (symmetric_difference(v0, v1) = v2) | symmetric_difference(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (symmetric_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] : (difference(v1, v0) = v4 & difference(v0, v1) = v3 & union(v3, v4) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ member(v2, v0) |  ~ subset(v0, v1) | member(v2, v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ subset(v1, v0) |  ~ subset(v0, v1)) &  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] : (( ~ member(v2, v1) |  ~ member(v2, v0)) & (member(v2, v1) | member(v2, v0)))) &  ? [v0] :  ? [v1] : (subset(v0, v1) |  ? [v2] : (member(v2, v0) &  ~ member(v2, v1))) &  ? [v0] : subset(v0, v0)
% 7.45/2.38  |
% 7.45/2.38  | Applying alpha-rule on (1) yields:
% 7.45/2.38  | (2)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (intersection(v0, v1) = v2) | intersection(v1, v0) = v2)
% 7.45/2.38  | (3)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (intersection(v1, v0) = v2) | intersection(v0, v1) = v2)
% 7.45/2.38  | (4) symmetric_difference(all_0_6_6, all_0_5_5) = all_0_3_3
% 7.45/2.38  | (5) symmetric_difference(all_0_3_3, all_0_4_4) = all_0_2_2
% 7.45/2.38  | (6)  ~ (all_0_0_0 = all_0_2_2)
% 7.45/2.38  | (7)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (intersection(v3, v2) = v4) |  ~ (intersection(v0, v1) = v3) |  ? [v5] : (intersection(v1, v2) = v5 & intersection(v0, v5) = v4))
% 7.45/2.38  | (8)  ? [v0] :  ? [v1] : (subset(v0, v1) |  ? [v2] : (member(v2, v0) &  ~ member(v2, v1)))
% 7.45/2.38  | (9)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (difference(v3, v2) = v1) |  ~ (difference(v3, v2) = v0))
% 7.45/2.38  | (10)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (symmetric_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] : (difference(v1, v0) = v4 & difference(v0, v1) = v3 & union(v3, v4) = v2))
% 7.45/2.39  | (11)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (intersection(v0, v2) = v4) |  ~ (difference(v0, v1) = v3) |  ~ (union(v3, v4) = v5) |  ? [v6] : (difference(v1, v2) = v6 & difference(v0, v6) = v5))
% 7.45/2.39  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (union(v3, v2) = v4) |  ~ (union(v0, v1) = v3) |  ? [v5] : (union(v1, v2) = v5 & union(v0, v5) = v4))
% 7.45/2.39  | (13) symmetric_difference(all_0_6_6, all_0_1_1) = all_0_0_0
% 7.45/2.39  | (14)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ member(v2, v0) |  ~ subset(v0, v1) | member(v2, v1))
% 7.45/2.39  | (15)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (union(v1, v2) = v3) |  ~ (union(v0, v3) = v4) |  ? [v5] : (union(v5, v2) = v4 & union(v0, v1) = v5))
% 7.45/2.39  | (16)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (difference(v3, v2) = v4) |  ~ (union(v0, v1) = v3) |  ? [v5] :  ? [v6] : (difference(v1, v2) = v6 & difference(v0, v2) = v5 & union(v5, v6) = v4))
% 7.45/2.39  | (17)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ subset(v1, v0) |  ~ subset(v0, v1))
% 7.45/2.39  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (union(v3, v2) = v1) |  ~ (union(v3, v2) = v0))
% 7.45/2.39  | (19)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (difference(v0, v3) = v4) |  ~ (union(v1, v2) = v3) |  ? [v5] : (difference(v5, v2) = v4 & difference(v0, v1) = v5))
% 7.45/2.39  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (symmetric_difference(v3, v2) = v1) |  ~ (symmetric_difference(v3, v2) = v0))
% 7.45/2.39  | (21)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (symmetric_difference(v0, v1) = v2) | symmetric_difference(v1, v0) = v2)
% 7.45/2.39  | (22)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (symmetric_difference(v1, v0) = v2) | symmetric_difference(v0, v1) = v2)
% 7.45/2.39  | (23)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (difference(v3, v2) = v4) |  ~ (difference(v0, v1) = v3) |  ? [v5] : (difference(v0, v5) = v4 & union(v1, v2) = v5))
% 7.45/2.39  | (24)  ? [v0] : subset(v0, v0)
% 7.45/2.39  | (25)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (difference(v1, v0) = v3) |  ~ (difference(v0, v1) = v2) |  ~ (union(v2, v3) = v4) |  ? [v5] :  ? [v6] : (intersection(v0, v1) = v6 & difference(v5, v6) = v4 & union(v0, v1) = v5))
% 7.45/2.39  | (26)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (difference(v1, v2) = v3) |  ~ (difference(v0, v3) = v4) |  ? [v5] :  ? [v6] : (intersection(v0, v2) = v6 & difference(v0, v1) = v5 & union(v5, v6) = v4))
% 7.45/2.39  | (27)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v0, v1) = v2) | union(v1, v0) = v2)
% 7.45/2.39  | (28)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v1, v0) = v2) | union(v0, v1) = v2)
% 7.45/2.39  | (29)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (difference(v1, v2) = v4) |  ~ (difference(v0, v2) = v3) |  ~ (union(v3, v4) = v5) |  ? [v6] : (difference(v6, v2) = v5 & union(v0, v1) = v6))
% 7.45/2.39  | (30)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (intersection(v1, v2) = v3) |  ~ (intersection(v0, v3) = v4) |  ? [v5] : (intersection(v5, v2) = v4 & intersection(v0, v1) = v5))
% 7.45/2.39  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (difference(v1, v0) = v3) |  ~ (difference(v0, v1) = v2) |  ~ (union(v2, v3) = v4) | symmetric_difference(v0, v1) = v4)
% 7.45/2.39  | (32)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (intersection(v0, v1) = v3) |  ~ (difference(v2, v3) = v4) |  ~ (union(v0, v1) = v2) |  ? [v5] :  ? [v6] : (difference(v1, v0) = v6 & difference(v0, v1) = v5 & union(v5, v6) = v4))
% 7.45/2.39  | (33) symmetric_difference(all_0_5_5, all_0_4_4) = all_0_1_1
% 7.45/2.39  | (34)  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] : (( ~ member(v2, v1) |  ~ member(v2, v0)) & (member(v2, v1) | member(v2, v0))))
% 7.45/2.39  | (35)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (intersection(v3, v2) = v1) |  ~ (intersection(v3, v2) = v0))
% 7.45/2.39  |
% 7.45/2.39  | Instantiating formula (22) with all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms symmetric_difference(all_0_3_3, all_0_4_4) = all_0_2_2, yields:
% 7.45/2.39  | (36) symmetric_difference(all_0_4_4, all_0_3_3) = all_0_2_2
% 7.45/2.39  |
% 7.45/2.39  | Instantiating formula (10) with all_0_2_2, all_0_4_4, all_0_3_3 and discharging atoms symmetric_difference(all_0_3_3, all_0_4_4) = all_0_2_2, yields:
% 7.45/2.39  | (37)  ? [v0] :  ? [v1] : (difference(all_0_3_3, all_0_4_4) = v0 & difference(all_0_4_4, all_0_3_3) = v1 & union(v0, v1) = all_0_2_2)
% 7.45/2.39  |
% 7.45/2.39  | Instantiating formula (22) with all_0_1_1, all_0_5_5, all_0_4_4 and discharging atoms symmetric_difference(all_0_5_5, all_0_4_4) = all_0_1_1, yields:
% 7.45/2.40  | (38) symmetric_difference(all_0_4_4, all_0_5_5) = all_0_1_1
% 7.45/2.40  |
% 7.45/2.40  | Instantiating formula (10) with all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms symmetric_difference(all_0_5_5, all_0_4_4) = all_0_1_1, yields:
% 7.45/2.40  | (39)  ? [v0] :  ? [v1] : (difference(all_0_4_4, all_0_5_5) = v1 & difference(all_0_5_5, all_0_4_4) = v0 & union(v0, v1) = all_0_1_1)
% 7.45/2.40  |
% 7.45/2.40  | Instantiating formula (22) with all_0_0_0, all_0_6_6, all_0_1_1 and discharging atoms symmetric_difference(all_0_6_6, all_0_1_1) = all_0_0_0, yields:
% 7.45/2.40  | (40) symmetric_difference(all_0_1_1, all_0_6_6) = all_0_0_0
% 7.45/2.40  |
% 7.45/2.40  | Instantiating formula (10) with all_0_0_0, all_0_1_1, all_0_6_6 and discharging atoms symmetric_difference(all_0_6_6, all_0_1_1) = all_0_0_0, yields:
% 7.45/2.40  | (41)  ? [v0] :  ? [v1] : (difference(all_0_1_1, all_0_6_6) = v1 & difference(all_0_6_6, all_0_1_1) = v0 & union(v0, v1) = all_0_0_0)
% 7.45/2.40  |
% 7.45/2.40  | Instantiating formula (22) with all_0_3_3, all_0_6_6, all_0_5_5 and discharging atoms symmetric_difference(all_0_6_6, all_0_5_5) = all_0_3_3, yields:
% 7.45/2.40  | (42) symmetric_difference(all_0_5_5, all_0_6_6) = all_0_3_3
% 7.45/2.40  |
% 7.45/2.40  | Instantiating formula (10) with all_0_3_3, all_0_5_5, all_0_6_6 and discharging atoms symmetric_difference(all_0_6_6, all_0_5_5) = all_0_3_3, yields:
% 7.45/2.40  | (43)  ? [v0] :  ? [v1] : (difference(all_0_5_5, all_0_6_6) = v1 & difference(all_0_6_6, all_0_5_5) = v0 & union(v0, v1) = all_0_3_3)
% 7.45/2.40  |
% 7.45/2.40  | Instantiating (41) with all_13_0_12, all_13_1_13 yields:
% 7.45/2.40  | (44) difference(all_0_1_1, all_0_6_6) = all_13_0_12 & difference(all_0_6_6, all_0_1_1) = all_13_1_13 & union(all_13_1_13, all_13_0_12) = all_0_0_0
% 7.45/2.40  |
% 7.45/2.40  | Applying alpha-rule on (44) yields:
% 7.45/2.40  | (45) difference(all_0_1_1, all_0_6_6) = all_13_0_12
% 7.45/2.40  | (46) difference(all_0_6_6, all_0_1_1) = all_13_1_13
% 7.45/2.40  | (47) union(all_13_1_13, all_13_0_12) = all_0_0_0
% 7.45/2.40  |
% 7.45/2.40  | Instantiating (43) with all_15_0_14, all_15_1_15 yields:
% 7.45/2.40  | (48) difference(all_0_5_5, all_0_6_6) = all_15_0_14 & difference(all_0_6_6, all_0_5_5) = all_15_1_15 & union(all_15_1_15, all_15_0_14) = all_0_3_3
% 7.45/2.40  |
% 7.45/2.40  | Applying alpha-rule on (48) yields:
% 7.45/2.40  | (49) difference(all_0_5_5, all_0_6_6) = all_15_0_14
% 7.45/2.40  | (50) difference(all_0_6_6, all_0_5_5) = all_15_1_15
% 7.45/2.40  | (51) union(all_15_1_15, all_15_0_14) = all_0_3_3
% 7.45/2.40  |
% 7.45/2.40  | Instantiating (37) with all_17_0_16, all_17_1_17 yields:
% 7.45/2.40  | (52) difference(all_0_3_3, all_0_4_4) = all_17_1_17 & difference(all_0_4_4, all_0_3_3) = all_17_0_16 & union(all_17_1_17, all_17_0_16) = all_0_2_2
% 7.45/2.40  |
% 7.45/2.40  | Applying alpha-rule on (52) yields:
% 7.45/2.40  | (53) difference(all_0_3_3, all_0_4_4) = all_17_1_17
% 7.45/2.40  | (54) difference(all_0_4_4, all_0_3_3) = all_17_0_16
% 7.45/2.40  | (55) union(all_17_1_17, all_17_0_16) = all_0_2_2
% 7.45/2.40  |
% 7.45/2.40  | Instantiating (39) with all_19_0_18, all_19_1_19 yields:
% 7.45/2.40  | (56) difference(all_0_4_4, all_0_5_5) = all_19_0_18 & difference(all_0_5_5, all_0_4_4) = all_19_1_19 & union(all_19_1_19, all_19_0_18) = all_0_1_1
% 7.45/2.40  |
% 7.45/2.40  | Applying alpha-rule on (56) yields:
% 7.45/2.40  | (57) difference(all_0_4_4, all_0_5_5) = all_19_0_18
% 7.45/2.40  | (58) difference(all_0_5_5, all_0_4_4) = all_19_1_19
% 7.45/2.40  | (59) union(all_19_1_19, all_19_0_18) = all_0_1_1
% 7.45/2.40  |
% 7.45/2.40  | Instantiating formula (16) with all_13_0_12, all_0_1_1, all_0_6_6, all_19_0_18, all_19_1_19 and discharging atoms difference(all_0_1_1, all_0_6_6) = all_13_0_12, union(all_19_1_19, all_19_0_18) = all_0_1_1, yields:
% 7.45/2.40  | (60)  ? [v0] :  ? [v1] : (difference(all_19_0_18, all_0_6_6) = v1 & difference(all_19_1_19, all_0_6_6) = v0 & union(v0, v1) = all_13_0_12)
% 7.45/2.40  |
% 7.45/2.40  | Instantiating formula (25) with all_0_1_1, all_19_0_18, all_19_1_19, all_0_4_4, all_0_5_5 and discharging atoms difference(all_0_4_4, all_0_5_5) = all_19_0_18, difference(all_0_5_5, all_0_4_4) = all_19_1_19, union(all_19_1_19, all_19_0_18) = all_0_1_1, yields:
% 7.45/2.40  | (61)  ? [v0] :  ? [v1] : (intersection(all_0_5_5, all_0_4_4) = v1 & difference(v0, v1) = all_0_1_1 & union(all_0_5_5, all_0_4_4) = v0)
% 7.45/2.40  |
% 7.45/2.40  | Instantiating formula (16) with all_17_1_17, all_0_3_3, all_0_4_4, all_15_0_14, all_15_1_15 and discharging atoms difference(all_0_3_3, all_0_4_4) = all_17_1_17, union(all_15_1_15, all_15_0_14) = all_0_3_3, yields:
% 7.45/2.40  | (62)  ? [v0] :  ? [v1] : (difference(all_15_0_14, all_0_4_4) = v1 & difference(all_15_1_15, all_0_4_4) = v0 & union(v0, v1) = all_17_1_17)
% 7.45/2.40  |
% 7.45/2.40  | Instantiating formula (25) with all_0_3_3, all_15_0_14, all_15_1_15, all_0_5_5, all_0_6_6 and discharging atoms difference(all_0_5_5, all_0_6_6) = all_15_0_14, difference(all_0_6_6, all_0_5_5) = all_15_1_15, union(all_15_1_15, all_15_0_14) = all_0_3_3, yields:
% 7.45/2.40  | (63)  ? [v0] :  ? [v1] : (intersection(all_0_6_6, all_0_5_5) = v1 & difference(v0, v1) = all_0_3_3 & union(all_0_6_6, all_0_5_5) = v0)
% 7.45/2.40  |
% 7.45/2.40  | Instantiating formula (10) with all_0_0_0, all_0_6_6, all_0_1_1 and discharging atoms symmetric_difference(all_0_1_1, all_0_6_6) = all_0_0_0, yields:
% 7.45/2.40  | (64)  ? [v0] :  ? [v1] : (difference(all_0_1_1, all_0_6_6) = v0 & difference(all_0_6_6, all_0_1_1) = v1 & union(v0, v1) = all_0_0_0)
% 7.45/2.40  |
% 7.45/2.40  | Instantiating formula (10) with all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms symmetric_difference(all_0_4_4, all_0_3_3) = all_0_2_2, yields:
% 7.45/2.40  | (65)  ? [v0] :  ? [v1] : (difference(all_0_3_3, all_0_4_4) = v1 & difference(all_0_4_4, all_0_3_3) = v0 & union(v0, v1) = all_0_2_2)
% 7.45/2.40  |
% 7.45/2.40  | Instantiating formula (10) with all_0_1_1, all_0_5_5, all_0_4_4 and discharging atoms symmetric_difference(all_0_4_4, all_0_5_5) = all_0_1_1, yields:
% 7.45/2.40  | (66)  ? [v0] :  ? [v1] : (difference(all_0_4_4, all_0_5_5) = v0 & difference(all_0_5_5, all_0_4_4) = v1 & union(v0, v1) = all_0_1_1)
% 7.45/2.40  |
% 7.45/2.40  | Instantiating formula (10) with all_0_3_3, all_0_6_6, all_0_5_5 and discharging atoms symmetric_difference(all_0_5_5, all_0_6_6) = all_0_3_3, yields:
% 7.45/2.40  | (67)  ? [v0] :  ? [v1] : (difference(all_0_5_5, all_0_6_6) = v0 & difference(all_0_6_6, all_0_5_5) = v1 & union(v0, v1) = all_0_3_3)
% 7.45/2.40  |
% 7.45/2.40  | Instantiating (65) with all_27_0_20, all_27_1_21 yields:
% 7.45/2.40  | (68) difference(all_0_3_3, all_0_4_4) = all_27_0_20 & difference(all_0_4_4, all_0_3_3) = all_27_1_21 & union(all_27_1_21, all_27_0_20) = all_0_2_2
% 7.45/2.40  |
% 7.45/2.40  | Applying alpha-rule on (68) yields:
% 7.45/2.40  | (69) difference(all_0_3_3, all_0_4_4) = all_27_0_20
% 7.45/2.40  | (70) difference(all_0_4_4, all_0_3_3) = all_27_1_21
% 7.45/2.40  | (71) union(all_27_1_21, all_27_0_20) = all_0_2_2
% 7.45/2.40  |
% 7.45/2.40  | Instantiating (64) with all_29_0_22, all_29_1_23 yields:
% 7.45/2.40  | (72) difference(all_0_1_1, all_0_6_6) = all_29_1_23 & difference(all_0_6_6, all_0_1_1) = all_29_0_22 & union(all_29_1_23, all_29_0_22) = all_0_0_0
% 7.45/2.40  |
% 7.45/2.40  | Applying alpha-rule on (72) yields:
% 7.45/2.41  | (73) difference(all_0_1_1, all_0_6_6) = all_29_1_23
% 7.45/2.41  | (74) difference(all_0_6_6, all_0_1_1) = all_29_0_22
% 7.45/2.41  | (75) union(all_29_1_23, all_29_0_22) = all_0_0_0
% 7.45/2.41  |
% 7.45/2.41  | Instantiating (67) with all_33_0_25, all_33_1_26 yields:
% 7.45/2.41  | (76) difference(all_0_5_5, all_0_6_6) = all_33_1_26 & difference(all_0_6_6, all_0_5_5) = all_33_0_25 & union(all_33_1_26, all_33_0_25) = all_0_3_3
% 7.45/2.41  |
% 7.45/2.41  | Applying alpha-rule on (76) yields:
% 7.45/2.41  | (77) difference(all_0_5_5, all_0_6_6) = all_33_1_26
% 7.45/2.41  | (78) difference(all_0_6_6, all_0_5_5) = all_33_0_25
% 7.45/2.41  | (79) union(all_33_1_26, all_33_0_25) = all_0_3_3
% 7.45/2.41  |
% 7.45/2.41  | Instantiating (63) with all_39_0_30, all_39_1_31 yields:
% 7.45/2.41  | (80) intersection(all_0_6_6, all_0_5_5) = all_39_0_30 & difference(all_39_1_31, all_39_0_30) = all_0_3_3 & union(all_0_6_6, all_0_5_5) = all_39_1_31
% 7.45/2.41  |
% 7.45/2.41  | Applying alpha-rule on (80) yields:
% 7.45/2.41  | (81) intersection(all_0_6_6, all_0_5_5) = all_39_0_30
% 7.45/2.41  | (82) difference(all_39_1_31, all_39_0_30) = all_0_3_3
% 7.45/2.41  | (83) union(all_0_6_6, all_0_5_5) = all_39_1_31
% 7.45/2.41  |
% 7.45/2.41  | Instantiating (61) with all_43_0_34, all_43_1_35 yields:
% 7.45/2.41  | (84) intersection(all_0_5_5, all_0_4_4) = all_43_0_34 & difference(all_43_1_35, all_43_0_34) = all_0_1_1 & union(all_0_5_5, all_0_4_4) = all_43_1_35
% 7.45/2.41  |
% 7.45/2.41  | Applying alpha-rule on (84) yields:
% 7.45/2.41  | (85) intersection(all_0_5_5, all_0_4_4) = all_43_0_34
% 7.45/2.41  | (86) difference(all_43_1_35, all_43_0_34) = all_0_1_1
% 7.45/2.41  | (87) union(all_0_5_5, all_0_4_4) = all_43_1_35
% 7.45/2.41  |
% 7.45/2.41  | Instantiating (60) with all_45_0_36, all_45_1_37 yields:
% 7.45/2.41  | (88) difference(all_19_0_18, all_0_6_6) = all_45_0_36 & difference(all_19_1_19, all_0_6_6) = all_45_1_37 & union(all_45_1_37, all_45_0_36) = all_13_0_12
% 7.45/2.41  |
% 7.45/2.41  | Applying alpha-rule on (88) yields:
% 7.45/2.41  | (89) difference(all_19_0_18, all_0_6_6) = all_45_0_36
% 7.45/2.41  | (90) difference(all_19_1_19, all_0_6_6) = all_45_1_37
% 7.45/2.41  | (91) union(all_45_1_37, all_45_0_36) = all_13_0_12
% 7.45/2.41  |
% 7.45/2.41  | Instantiating (62) with all_47_0_38, all_47_1_39 yields:
% 7.45/2.41  | (92) difference(all_15_0_14, all_0_4_4) = all_47_0_38 & difference(all_15_1_15, all_0_4_4) = all_47_1_39 & union(all_47_1_39, all_47_0_38) = all_17_1_17
% 7.45/2.41  |
% 7.45/2.41  | Applying alpha-rule on (92) yields:
% 7.45/2.41  | (93) difference(all_15_0_14, all_0_4_4) = all_47_0_38
% 7.45/2.41  | (94) difference(all_15_1_15, all_0_4_4) = all_47_1_39
% 7.45/2.41  | (95) union(all_47_1_39, all_47_0_38) = all_17_1_17
% 7.45/2.41  |
% 7.45/2.41  | Instantiating (66) with all_49_0_40, all_49_1_41 yields:
% 7.45/2.41  | (96) difference(all_0_4_4, all_0_5_5) = all_49_1_41 & difference(all_0_5_5, all_0_4_4) = all_49_0_40 & union(all_49_1_41, all_49_0_40) = all_0_1_1
% 7.45/2.41  |
% 7.45/2.41  | Applying alpha-rule on (96) yields:
% 7.45/2.41  | (97) difference(all_0_4_4, all_0_5_5) = all_49_1_41
% 7.45/2.41  | (98) difference(all_0_5_5, all_0_4_4) = all_49_0_40
% 7.45/2.41  | (99) union(all_49_1_41, all_49_0_40) = all_0_1_1
% 7.45/2.41  |
% 7.45/2.41  | Instantiating formula (9) with all_0_1_1, all_0_6_6, all_29_1_23, all_13_0_12 and discharging atoms difference(all_0_1_1, all_0_6_6) = all_29_1_23, difference(all_0_1_1, all_0_6_6) = all_13_0_12, yields:
% 7.45/2.41  | (100) all_29_1_23 = all_13_0_12
% 7.45/2.41  |
% 7.45/2.41  | Instantiating formula (9) with all_0_3_3, all_0_4_4, all_27_0_20, all_17_1_17 and discharging atoms difference(all_0_3_3, all_0_4_4) = all_27_0_20, difference(all_0_3_3, all_0_4_4) = all_17_1_17, yields:
% 7.45/2.41  | (101) all_27_0_20 = all_17_1_17
% 7.45/2.41  |
% 7.45/2.41  | Instantiating formula (9) with all_0_4_4, all_0_3_3, all_27_1_21, all_17_0_16 and discharging atoms difference(all_0_4_4, all_0_3_3) = all_27_1_21, difference(all_0_4_4, all_0_3_3) = all_17_0_16, yields:
% 7.45/2.41  | (102) all_27_1_21 = all_17_0_16
% 7.45/2.41  |
% 7.45/2.41  | Instantiating formula (9) with all_0_4_4, all_0_5_5, all_49_1_41, all_19_0_18 and discharging atoms difference(all_0_4_4, all_0_5_5) = all_49_1_41, difference(all_0_4_4, all_0_5_5) = all_19_0_18, yields:
% 7.45/2.41  | (103) all_49_1_41 = all_19_0_18
% 7.45/2.41  |
% 7.45/2.41  | Instantiating formula (9) with all_0_5_5, all_0_4_4, all_49_0_40, all_19_1_19 and discharging atoms difference(all_0_5_5, all_0_4_4) = all_49_0_40, difference(all_0_5_5, all_0_4_4) = all_19_1_19, yields:
% 7.45/2.41  | (104) all_49_0_40 = all_19_1_19
% 7.45/2.41  |
% 7.45/2.41  | Instantiating formula (9) with all_0_5_5, all_0_6_6, all_33_1_26, all_15_0_14 and discharging atoms difference(all_0_5_5, all_0_6_6) = all_33_1_26, difference(all_0_5_5, all_0_6_6) = all_15_0_14, yields:
% 7.45/2.41  | (105) all_33_1_26 = all_15_0_14
% 7.45/2.41  |
% 7.45/2.41  | Instantiating formula (9) with all_0_6_6, all_0_1_1, all_29_0_22, all_13_1_13 and discharging atoms difference(all_0_6_6, all_0_1_1) = all_29_0_22, difference(all_0_6_6, all_0_1_1) = all_13_1_13, yields:
% 7.45/2.41  | (106) all_29_0_22 = all_13_1_13
% 7.45/2.41  |
% 7.45/2.41  | Instantiating formula (9) with all_0_6_6, all_0_5_5, all_33_0_25, all_15_1_15 and discharging atoms difference(all_0_6_6, all_0_5_5) = all_33_0_25, difference(all_0_6_6, all_0_5_5) = all_15_1_15, yields:
% 7.45/2.41  | (107) all_33_0_25 = all_15_1_15
% 7.45/2.41  |
% 7.45/2.41  | From (101) and (69) follows:
% 7.45/2.41  | (53) difference(all_0_3_3, all_0_4_4) = all_17_1_17
% 7.45/2.41  |
% 7.45/2.41  | From (102) and (70) follows:
% 7.45/2.41  | (54) difference(all_0_4_4, all_0_3_3) = all_17_0_16
% 7.45/2.41  |
% 7.45/2.41  | From (103) and (97) follows:
% 7.45/2.42  | (57) difference(all_0_4_4, all_0_5_5) = all_19_0_18
% 7.45/2.42  |
% 7.45/2.42  | From (104) and (98) follows:
% 7.45/2.42  | (58) difference(all_0_5_5, all_0_4_4) = all_19_1_19
% 7.45/2.42  |
% 7.45/2.42  | From (105) and (77) follows:
% 7.45/2.42  | (49) difference(all_0_5_5, all_0_6_6) = all_15_0_14
% 7.45/2.42  |
% 7.45/2.42  | From (106) and (74) follows:
% 7.45/2.42  | (46) difference(all_0_6_6, all_0_1_1) = all_13_1_13
% 7.45/2.42  |
% 7.45/2.42  | From (107) and (78) follows:
% 7.45/2.42  | (50) difference(all_0_6_6, all_0_5_5) = all_15_1_15
% 7.45/2.42  |
% 7.45/2.42  | From (103)(104) and (99) follows:
% 7.45/2.42  | (115) union(all_19_0_18, all_19_1_19) = all_0_1_1
% 7.45/2.42  |
% 7.45/2.42  | From (105)(107) and (79) follows:
% 7.45/2.42  | (116) union(all_15_0_14, all_15_1_15) = all_0_3_3
% 7.45/2.42  |
% 7.45/2.42  | From (100)(106) and (75) follows:
% 7.45/2.42  | (117) union(all_13_0_12, all_13_1_13) = all_0_0_0
% 7.45/2.42  |
% 7.45/2.42  | From (102)(101) and (71) follows:
% 7.45/2.42  | (118) union(all_17_0_16, all_17_1_17) = all_0_2_2
% 7.45/2.42  |
% 7.45/2.42  | Instantiating formula (26) with all_13_1_13, all_0_1_1, all_43_0_34, all_43_1_35, all_0_6_6 and discharging atoms difference(all_43_1_35, all_43_0_34) = all_0_1_1, difference(all_0_6_6, all_0_1_1) = all_13_1_13, yields:
% 7.45/2.42  | (119)  ? [v0] :  ? [v1] : (intersection(all_0_6_6, all_43_0_34) = v1 & difference(all_0_6_6, all_43_1_35) = v0 & union(v0, v1) = all_13_1_13)
% 7.45/2.42  |
% 7.45/2.42  | Instantiating formula (26) with all_17_0_16, all_0_3_3, all_39_0_30, all_39_1_31, all_0_4_4 and discharging atoms difference(all_39_1_31, all_39_0_30) = all_0_3_3, difference(all_0_4_4, all_0_3_3) = all_17_0_16, yields:
% 7.45/2.42  | (120)  ? [v0] :  ? [v1] : (intersection(all_0_4_4, all_39_0_30) = v1 & difference(all_0_4_4, all_39_1_31) = v0 & union(v0, v1) = all_17_0_16)
% 7.45/2.42  |
% 7.45/2.42  | Instantiating formula (23) with all_45_0_36, all_19_0_18, all_0_6_6, all_0_5_5, all_0_4_4 and discharging atoms difference(all_19_0_18, all_0_6_6) = all_45_0_36, difference(all_0_4_4, all_0_5_5) = all_19_0_18, yields:
% 7.45/2.42  | (121)  ? [v0] : (difference(all_0_4_4, v0) = all_45_0_36 & union(all_0_5_5, all_0_6_6) = v0)
% 7.45/2.42  |
% 7.45/2.42  | Instantiating formula (23) with all_45_1_37, all_19_1_19, all_0_6_6, all_0_4_4, all_0_5_5 and discharging atoms difference(all_19_1_19, all_0_6_6) = all_45_1_37, difference(all_0_5_5, all_0_4_4) = all_19_1_19, yields:
% 7.45/2.42  | (122)  ? [v0] : (difference(all_0_5_5, v0) = all_45_1_37 & union(all_0_4_4, all_0_6_6) = v0)
% 7.45/2.42  |
% 7.45/2.42  | Instantiating formula (23) with all_47_0_38, all_15_0_14, all_0_4_4, all_0_6_6, all_0_5_5 and discharging atoms difference(all_15_0_14, all_0_4_4) = all_47_0_38, difference(all_0_5_5, all_0_6_6) = all_15_0_14, yields:
% 7.45/2.42  | (123)  ? [v0] : (difference(all_0_5_5, v0) = all_47_0_38 & union(all_0_6_6, all_0_4_4) = v0)
% 7.45/2.42  |
% 7.45/2.42  | Instantiating formula (23) with all_47_1_39, all_15_1_15, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms difference(all_15_1_15, all_0_4_4) = all_47_1_39, difference(all_0_6_6, all_0_5_5) = all_15_1_15, yields:
% 7.45/2.42  | (124)  ? [v0] : (difference(all_0_6_6, v0) = all_47_1_39 & union(all_0_5_5, all_0_4_4) = v0)
% 7.45/2.42  |
% 7.45/2.42  | Instantiating formula (19) with all_13_1_13, all_0_1_1, all_19_1_19, all_19_0_18, all_0_6_6 and discharging atoms difference(all_0_6_6, all_0_1_1) = all_13_1_13, union(all_19_0_18, all_19_1_19) = all_0_1_1, yields:
% 7.45/2.42  | (125)  ? [v0] : (difference(v0, all_19_1_19) = all_13_1_13 & difference(all_0_6_6, all_19_0_18) = v0)
% 7.45/2.42  |
% 7.45/2.42  | Instantiating formula (15) with all_0_2_2, all_17_1_17, all_47_0_38, all_47_1_39, all_17_0_16 and discharging atoms union(all_47_1_39, all_47_0_38) = all_17_1_17, union(all_17_0_16, all_17_1_17) = all_0_2_2, yields:
% 7.45/2.42  | (126)  ? [v0] : (union(v0, all_47_0_38) = all_0_2_2 & union(all_17_0_16, all_47_1_39) = v0)
% 7.45/2.42  |
% 7.45/2.42  | Instantiating formula (16) with all_17_1_17, all_0_3_3, all_0_4_4, all_15_1_15, all_15_0_14 and discharging atoms difference(all_0_3_3, all_0_4_4) = all_17_1_17, union(all_15_0_14, all_15_1_15) = all_0_3_3, yields:
% 7.45/2.42  | (127)  ? [v0] :  ? [v1] : (difference(all_15_0_14, all_0_4_4) = v0 & difference(all_15_1_15, all_0_4_4) = v1 & union(v0, v1) = all_17_1_17)
% 7.45/2.42  |
% 7.45/2.42  | Instantiating formula (12) with all_0_0_0, all_13_0_12, all_13_1_13, all_45_0_36, all_45_1_37 and discharging atoms union(all_45_1_37, all_45_0_36) = all_13_0_12, union(all_13_0_12, all_13_1_13) = all_0_0_0, yields:
% 7.45/2.42  | (128)  ? [v0] : (union(all_45_0_36, all_13_1_13) = v0 & union(all_45_1_37, v0) = all_0_0_0)
% 7.45/2.42  |
% 7.45/2.42  | Instantiating formula (28) with all_39_1_31, all_0_6_6, all_0_5_5 and discharging atoms union(all_0_6_6, all_0_5_5) = all_39_1_31, yields:
% 7.45/2.42  | (129) union(all_0_5_5, all_0_6_6) = all_39_1_31
% 7.45/2.42  |
% 7.45/2.42  | Instantiating (128) with all_61_0_42 yields:
% 7.45/2.42  | (130) union(all_45_0_36, all_13_1_13) = all_61_0_42 & union(all_45_1_37, all_61_0_42) = all_0_0_0
% 7.45/2.42  |
% 7.45/2.42  | Applying alpha-rule on (130) yields:
% 7.45/2.42  | (131) union(all_45_0_36, all_13_1_13) = all_61_0_42
% 7.45/2.42  | (132) union(all_45_1_37, all_61_0_42) = all_0_0_0
% 7.45/2.42  |
% 7.45/2.42  | Instantiating (124) with all_73_0_52 yields:
% 7.45/2.42  | (133) difference(all_0_6_6, all_73_0_52) = all_47_1_39 & union(all_0_5_5, all_0_4_4) = all_73_0_52
% 7.45/2.42  |
% 7.45/2.42  | Applying alpha-rule on (133) yields:
% 7.45/2.42  | (134) difference(all_0_6_6, all_73_0_52) = all_47_1_39
% 7.45/2.42  | (135) union(all_0_5_5, all_0_4_4) = all_73_0_52
% 7.45/2.42  |
% 7.45/2.42  | Instantiating (122) with all_75_0_53 yields:
% 7.45/2.42  | (136) difference(all_0_5_5, all_75_0_53) = all_45_1_37 & union(all_0_4_4, all_0_6_6) = all_75_0_53
% 7.45/2.42  |
% 7.45/2.42  | Applying alpha-rule on (136) yields:
% 7.45/2.42  | (137) difference(all_0_5_5, all_75_0_53) = all_45_1_37
% 7.45/2.43  | (138) union(all_0_4_4, all_0_6_6) = all_75_0_53
% 7.45/2.43  |
% 7.45/2.43  | Instantiating (119) with all_77_0_54, all_77_1_55 yields:
% 7.45/2.43  | (139) intersection(all_0_6_6, all_43_0_34) = all_77_0_54 & difference(all_0_6_6, all_43_1_35) = all_77_1_55 & union(all_77_1_55, all_77_0_54) = all_13_1_13
% 7.45/2.43  |
% 7.45/2.43  | Applying alpha-rule on (139) yields:
% 7.45/2.43  | (140) intersection(all_0_6_6, all_43_0_34) = all_77_0_54
% 7.45/2.43  | (141) difference(all_0_6_6, all_43_1_35) = all_77_1_55
% 7.45/2.43  | (142) union(all_77_1_55, all_77_0_54) = all_13_1_13
% 7.45/2.43  |
% 7.45/2.43  | Instantiating (123) with all_79_0_56 yields:
% 7.45/2.43  | (143) difference(all_0_5_5, all_79_0_56) = all_47_0_38 & union(all_0_6_6, all_0_4_4) = all_79_0_56
% 7.45/2.43  |
% 7.45/2.43  | Applying alpha-rule on (143) yields:
% 7.45/2.43  | (144) difference(all_0_5_5, all_79_0_56) = all_47_0_38
% 7.45/2.43  | (145) union(all_0_6_6, all_0_4_4) = all_79_0_56
% 7.45/2.43  |
% 7.45/2.43  | Instantiating (121) with all_83_0_58 yields:
% 7.45/2.43  | (146) difference(all_0_4_4, all_83_0_58) = all_45_0_36 & union(all_0_5_5, all_0_6_6) = all_83_0_58
% 7.45/2.43  |
% 7.45/2.43  | Applying alpha-rule on (146) yields:
% 7.45/2.43  | (147) difference(all_0_4_4, all_83_0_58) = all_45_0_36
% 7.45/2.43  | (148) union(all_0_5_5, all_0_6_6) = all_83_0_58
% 7.45/2.43  |
% 7.45/2.43  | Instantiating (120) with all_89_0_63, all_89_1_64 yields:
% 7.45/2.43  | (149) intersection(all_0_4_4, all_39_0_30) = all_89_0_63 & difference(all_0_4_4, all_39_1_31) = all_89_1_64 & union(all_89_1_64, all_89_0_63) = all_17_0_16
% 7.45/2.43  |
% 7.45/2.43  | Applying alpha-rule on (149) yields:
% 7.45/2.43  | (150) intersection(all_0_4_4, all_39_0_30) = all_89_0_63
% 7.45/2.43  | (151) difference(all_0_4_4, all_39_1_31) = all_89_1_64
% 7.45/2.43  | (152) union(all_89_1_64, all_89_0_63) = all_17_0_16
% 7.45/2.43  |
% 7.45/2.43  | Instantiating (127) with all_113_0_81, all_113_1_82 yields:
% 7.45/2.43  | (153) difference(all_15_0_14, all_0_4_4) = all_113_1_82 & difference(all_15_1_15, all_0_4_4) = all_113_0_81 & union(all_113_1_82, all_113_0_81) = all_17_1_17
% 7.45/2.43  |
% 7.45/2.43  | Applying alpha-rule on (153) yields:
% 7.45/2.43  | (154) difference(all_15_0_14, all_0_4_4) = all_113_1_82
% 7.45/2.43  | (155) difference(all_15_1_15, all_0_4_4) = all_113_0_81
% 7.45/2.43  | (156) union(all_113_1_82, all_113_0_81) = all_17_1_17
% 7.45/2.43  |
% 7.45/2.43  | Instantiating (125) with all_117_0_85 yields:
% 7.45/2.43  | (157) difference(all_117_0_85, all_19_1_19) = all_13_1_13 & difference(all_0_6_6, all_19_0_18) = all_117_0_85
% 7.45/2.43  |
% 7.45/2.43  | Applying alpha-rule on (157) yields:
% 7.45/2.43  | (158) difference(all_117_0_85, all_19_1_19) = all_13_1_13
% 7.45/2.43  | (159) difference(all_0_6_6, all_19_0_18) = all_117_0_85
% 7.45/2.43  |
% 7.45/2.43  | Instantiating (126) with all_121_0_87 yields:
% 7.45/2.43  | (160) union(all_121_0_87, all_47_0_38) = all_0_2_2 & union(all_17_0_16, all_47_1_39) = all_121_0_87
% 7.45/2.43  |
% 7.45/2.43  | Applying alpha-rule on (160) yields:
% 7.45/2.43  | (161) union(all_121_0_87, all_47_0_38) = all_0_2_2
% 7.45/2.43  | (162) union(all_17_0_16, all_47_1_39) = all_121_0_87
% 7.45/2.43  |
% 7.45/2.43  | Instantiating formula (9) with all_15_0_14, all_0_4_4, all_113_1_82, all_47_0_38 and discharging atoms difference(all_15_0_14, all_0_4_4) = all_113_1_82, difference(all_15_0_14, all_0_4_4) = all_47_0_38, yields:
% 7.45/2.43  | (163) all_113_1_82 = all_47_0_38
% 7.45/2.43  |
% 7.45/2.43  | Instantiating formula (9) with all_15_1_15, all_0_4_4, all_113_0_81, all_47_1_39 and discharging atoms difference(all_15_1_15, all_0_4_4) = all_113_0_81, difference(all_15_1_15, all_0_4_4) = all_47_1_39, yields:
% 7.45/2.43  | (164) all_113_0_81 = all_47_1_39
% 7.45/2.43  |
% 7.45/2.43  | Instantiating formula (18) with all_0_5_5, all_0_4_4, all_73_0_52, all_43_1_35 and discharging atoms union(all_0_5_5, all_0_4_4) = all_73_0_52, union(all_0_5_5, all_0_4_4) = all_43_1_35, yields:
% 7.45/2.43  | (165) all_73_0_52 = all_43_1_35
% 7.45/2.43  |
% 7.45/2.43  | Instantiating formula (18) with all_0_5_5, all_0_6_6, all_39_1_31, all_83_0_58 and discharging atoms union(all_0_5_5, all_0_6_6) = all_83_0_58, union(all_0_5_5, all_0_6_6) = all_39_1_31, yields:
% 7.45/2.43  | (166) all_83_0_58 = all_39_1_31
% 7.45/2.43  |
% 7.45/2.43  | From (166) and (147) follows:
% 7.45/2.43  | (167) difference(all_0_4_4, all_39_1_31) = all_45_0_36
% 7.45/2.43  |
% 7.45/2.43  | From (165) and (134) follows:
% 7.45/2.43  | (168) difference(all_0_6_6, all_43_1_35) = all_47_1_39
% 7.45/2.43  |
% 7.45/2.43  | From (163)(164) and (156) follows:
% 7.45/2.43  | (169) union(all_47_0_38, all_47_1_39) = all_17_1_17
% 7.45/2.43  |
% 7.45/2.43  | Instantiating formula (9) with all_0_4_4, all_39_1_31, all_45_0_36, all_89_1_64 and discharging atoms difference(all_0_4_4, all_39_1_31) = all_89_1_64, difference(all_0_4_4, all_39_1_31) = all_45_0_36, yields:
% 7.45/2.43  | (170) all_89_1_64 = all_45_0_36
% 7.45/2.43  |
% 7.45/2.43  | Instantiating formula (9) with all_0_6_6, all_43_1_35, all_47_1_39, all_77_1_55 and discharging atoms difference(all_0_6_6, all_43_1_35) = all_77_1_55, difference(all_0_6_6, all_43_1_35) = all_47_1_39, yields:
% 7.45/2.43  | (171) all_77_1_55 = all_47_1_39
% 7.45/2.43  |
% 7.45/2.43  | From (170) and (152) follows:
% 7.45/2.43  | (172) union(all_45_0_36, all_89_0_63) = all_17_0_16
% 7.45/2.44  |
% 7.45/2.44  | From (171) and (142) follows:
% 7.45/2.44  | (173) union(all_47_1_39, all_77_0_54) = all_13_1_13
% 7.45/2.44  |
% 7.45/2.44  | Instantiating formula (3) with all_89_0_63, all_0_4_4, all_39_0_30 and discharging atoms intersection(all_0_4_4, all_39_0_30) = all_89_0_63, yields:
% 7.45/2.44  | (174) intersection(all_39_0_30, all_0_4_4) = all_89_0_63
% 7.45/2.44  |
% 7.45/2.44  | Instantiating formula (30) with all_77_0_54, all_43_0_34, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms intersection(all_0_5_5, all_0_4_4) = all_43_0_34, intersection(all_0_6_6, all_43_0_34) = all_77_0_54, yields:
% 7.45/2.44  | (175)  ? [v0] : (intersection(v0, all_0_4_4) = all_77_0_54 & intersection(all_0_6_6, all_0_5_5) = v0)
% 7.45/2.44  |
% 7.45/2.44  | Instantiating formula (26) with all_117_0_85, all_19_0_18, all_0_5_5, all_0_4_4, all_0_6_6 and discharging atoms difference(all_0_4_4, all_0_5_5) = all_19_0_18, difference(all_0_6_6, all_19_0_18) = all_117_0_85, yields:
% 7.45/2.44  | (176)  ? [v0] :  ? [v1] : (intersection(all_0_6_6, all_0_5_5) = v1 & difference(all_0_6_6, all_0_4_4) = v0 & union(v0, v1) = all_117_0_85)
% 7.45/2.44  |
% 7.45/2.44  | Instantiating formula (12) with all_0_2_2, all_17_1_17, all_17_0_16, all_47_1_39, all_47_0_38 and discharging atoms union(all_47_0_38, all_47_1_39) = all_17_1_17, union(all_17_1_17, all_17_0_16) = all_0_2_2, yields:
% 7.45/2.44  | (177)  ? [v0] : (union(all_47_0_38, v0) = all_0_2_2 & union(all_47_1_39, all_17_0_16) = v0)
% 7.45/2.44  |
% 7.45/2.44  | Instantiating formula (28) with all_13_1_13, all_47_1_39, all_77_0_54 and discharging atoms union(all_47_1_39, all_77_0_54) = all_13_1_13, yields:
% 7.45/2.44  | (178) union(all_77_0_54, all_47_1_39) = all_13_1_13
% 7.45/2.44  |
% 7.45/2.44  | Instantiating formula (12) with all_121_0_87, all_17_0_16, all_47_1_39, all_89_0_63, all_45_0_36 and discharging atoms union(all_45_0_36, all_89_0_63) = all_17_0_16, union(all_17_0_16, all_47_1_39) = all_121_0_87, yields:
% 7.45/2.44  | (179)  ? [v0] : (union(all_89_0_63, all_47_1_39) = v0 & union(all_45_0_36, v0) = all_121_0_87)
% 7.45/2.44  |
% 7.45/2.44  | Instantiating formula (28) with all_121_0_87, all_17_0_16, all_47_1_39 and discharging atoms union(all_17_0_16, all_47_1_39) = all_121_0_87, yields:
% 7.45/2.44  | (180) union(all_47_1_39, all_17_0_16) = all_121_0_87
% 7.45/2.44  |
% 7.45/2.44  | Instantiating formula (28) with all_75_0_53, all_0_4_4, all_0_6_6 and discharging atoms union(all_0_4_4, all_0_6_6) = all_75_0_53, yields:
% 7.45/2.44  | (181) union(all_0_6_6, all_0_4_4) = all_75_0_53
% 7.45/2.44  |
% 7.45/2.44  | Instantiating (176) with all_189_0_127, all_189_1_128 yields:
% 7.45/2.44  | (182) intersection(all_0_6_6, all_0_5_5) = all_189_0_127 & difference(all_0_6_6, all_0_4_4) = all_189_1_128 & union(all_189_1_128, all_189_0_127) = all_117_0_85
% 7.45/2.44  |
% 7.45/2.44  | Applying alpha-rule on (182) yields:
% 7.45/2.44  | (183) intersection(all_0_6_6, all_0_5_5) = all_189_0_127
% 7.45/2.44  | (184) difference(all_0_6_6, all_0_4_4) = all_189_1_128
% 7.45/2.44  | (185) union(all_189_1_128, all_189_0_127) = all_117_0_85
% 7.45/2.44  |
% 7.45/2.44  | Instantiating (177) with all_199_0_134 yields:
% 7.45/2.44  | (186) union(all_47_0_38, all_199_0_134) = all_0_2_2 & union(all_47_1_39, all_17_0_16) = all_199_0_134
% 7.45/2.44  |
% 7.45/2.44  | Applying alpha-rule on (186) yields:
% 7.45/2.44  | (187) union(all_47_0_38, all_199_0_134) = all_0_2_2
% 7.45/2.44  | (188) union(all_47_1_39, all_17_0_16) = all_199_0_134
% 7.45/2.44  |
% 7.45/2.44  | Instantiating (175) with all_243_0_167 yields:
% 7.45/2.44  | (189) intersection(all_243_0_167, all_0_4_4) = all_77_0_54 & intersection(all_0_6_6, all_0_5_5) = all_243_0_167
% 7.45/2.44  |
% 7.45/2.44  | Applying alpha-rule on (189) yields:
% 7.45/2.44  | (190) intersection(all_243_0_167, all_0_4_4) = all_77_0_54
% 7.45/2.44  | (191) intersection(all_0_6_6, all_0_5_5) = all_243_0_167
% 7.45/2.44  |
% 7.45/2.44  | Instantiating (179) with all_249_0_170 yields:
% 7.45/2.44  | (192) union(all_89_0_63, all_47_1_39) = all_249_0_170 & union(all_45_0_36, all_249_0_170) = all_121_0_87
% 7.45/2.44  |
% 7.45/2.44  | Applying alpha-rule on (192) yields:
% 7.45/2.44  | (193) union(all_89_0_63, all_47_1_39) = all_249_0_170
% 7.45/2.44  | (194) union(all_45_0_36, all_249_0_170) = all_121_0_87
% 7.45/2.44  |
% 7.45/2.44  | Instantiating formula (35) with all_0_6_6, all_0_5_5, all_243_0_167, all_39_0_30 and discharging atoms intersection(all_0_6_6, all_0_5_5) = all_243_0_167, intersection(all_0_6_6, all_0_5_5) = all_39_0_30, yields:
% 7.45/2.44  | (195) all_243_0_167 = all_39_0_30
% 7.45/2.44  |
% 7.45/2.44  | Instantiating formula (35) with all_0_6_6, all_0_5_5, all_189_0_127, all_243_0_167 and discharging atoms intersection(all_0_6_6, all_0_5_5) = all_243_0_167, intersection(all_0_6_6, all_0_5_5) = all_189_0_127, yields:
% 7.45/2.44  | (196) all_243_0_167 = all_189_0_127
% 7.45/2.44  |
% 7.45/2.44  | Instantiating formula (18) with all_47_1_39, all_17_0_16, all_121_0_87, all_199_0_134 and discharging atoms union(all_47_1_39, all_17_0_16) = all_199_0_134, union(all_47_1_39, all_17_0_16) = all_121_0_87, yields:
% 7.45/2.44  | (197) all_199_0_134 = all_121_0_87
% 7.45/2.44  |
% 7.45/2.44  | Instantiating formula (18) with all_0_6_6, all_0_4_4, all_75_0_53, all_79_0_56 and discharging atoms union(all_0_6_6, all_0_4_4) = all_79_0_56, union(all_0_6_6, all_0_4_4) = all_75_0_53, yields:
% 7.45/2.44  | (198) all_79_0_56 = all_75_0_53
% 7.45/2.44  |
% 7.45/2.44  | Combining equations (195,196) yields a new equation:
% 7.45/2.44  | (199) all_189_0_127 = all_39_0_30
% 7.45/2.44  |
% 7.45/2.44  | Combining equations (199,196) yields a new equation:
% 7.45/2.44  | (195) all_243_0_167 = all_39_0_30
% 7.45/2.44  |
% 7.45/2.44  | From (195) and (190) follows:
% 7.45/2.45  | (201) intersection(all_39_0_30, all_0_4_4) = all_77_0_54
% 7.45/2.45  |
% 7.45/2.45  | From (198) and (144) follows:
% 7.45/2.45  | (202) difference(all_0_5_5, all_75_0_53) = all_47_0_38
% 7.45/2.45  |
% 7.45/2.45  | From (197) and (187) follows:
% 7.45/2.45  | (203) union(all_47_0_38, all_121_0_87) = all_0_2_2
% 7.45/2.45  |
% 7.45/2.45  | Instantiating formula (35) with all_39_0_30, all_0_4_4, all_77_0_54, all_89_0_63 and discharging atoms intersection(all_39_0_30, all_0_4_4) = all_89_0_63, intersection(all_39_0_30, all_0_4_4) = all_77_0_54, yields:
% 7.45/2.45  | (204) all_89_0_63 = all_77_0_54
% 7.45/2.45  |
% 7.45/2.45  | Instantiating formula (9) with all_0_5_5, all_75_0_53, all_47_0_38, all_45_1_37 and discharging atoms difference(all_0_5_5, all_75_0_53) = all_47_0_38, difference(all_0_5_5, all_75_0_53) = all_45_1_37, yields:
% 7.45/2.45  | (205) all_47_0_38 = all_45_1_37
% 7.45/2.45  |
% 7.45/2.45  | From (204) and (193) follows:
% 7.45/2.45  | (206) union(all_77_0_54, all_47_1_39) = all_249_0_170
% 7.45/2.45  |
% 7.45/2.45  | From (205) and (203) follows:
% 7.45/2.45  | (207) union(all_45_1_37, all_121_0_87) = all_0_2_2
% 7.45/2.45  |
% 7.45/2.45  | Instantiating formula (18) with all_77_0_54, all_47_1_39, all_249_0_170, all_13_1_13 and discharging atoms union(all_77_0_54, all_47_1_39) = all_249_0_170, union(all_77_0_54, all_47_1_39) = all_13_1_13, yields:
% 7.45/2.45  | (208) all_249_0_170 = all_13_1_13
% 7.45/2.45  |
% 7.45/2.45  | From (208) and (194) follows:
% 7.45/2.45  | (209) union(all_45_0_36, all_13_1_13) = all_121_0_87
% 7.45/2.45  |
% 7.45/2.45  | Instantiating formula (18) with all_45_0_36, all_13_1_13, all_121_0_87, all_61_0_42 and discharging atoms union(all_45_0_36, all_13_1_13) = all_121_0_87, union(all_45_0_36, all_13_1_13) = all_61_0_42, yields:
% 7.45/2.45  | (210) all_121_0_87 = all_61_0_42
% 7.45/2.45  |
% 7.45/2.45  | From (210) and (207) follows:
% 7.45/2.45  | (211) union(all_45_1_37, all_61_0_42) = all_0_2_2
% 7.45/2.45  |
% 7.45/2.45  | Instantiating formula (18) with all_45_1_37, all_61_0_42, all_0_2_2, all_0_0_0 and discharging atoms union(all_45_1_37, all_61_0_42) = all_0_0_0, union(all_45_1_37, all_61_0_42) = all_0_2_2, yields:
% 7.45/2.45  | (212) all_0_0_0 = all_0_2_2
% 7.45/2.45  |
% 7.45/2.45  | Equations (212) can reduce 6 to:
% 7.45/2.45  | (213) $false
% 7.45/2.45  |
% 7.45/2.45  |-The branch is then unsatisfiable
% 7.45/2.45  % SZS output end Proof for theBenchmark
% 7.45/2.45  
% 7.45/2.45  1868ms
%------------------------------------------------------------------------------