%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SEV517+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n008.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 16:56:44 EDT 2022

% Result   : Theorem 5.32s 1.80s
% Output   : Proof 6.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEV517+1 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n008.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 : Tue Jun 28 00:36:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.57          ____       _                          
% 0.19/0.57    ___  / __ \_____(_)___  ________  __________
% 0.19/0.57   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.57  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.19/0.57  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.19/0.57  
% 0.19/0.57  A Theorem Prover for First-Order Logic
% 0.19/0.57  (ePrincess v.1.0)
% 0.19/0.57  
% 0.19/0.57  (c) Philipp Rümmer, 2009-2015
% 0.19/0.57  (c) Peter Backeman, 2014-2015
% 0.19/0.57  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.57  Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.57  Bug reports to peter@backeman.se
% 0.19/0.57  
% 0.19/0.57  For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.57  
% 0.19/0.57  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.65/0.63  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.78/0.95  Prover 0: Preprocessing ...
% 2.76/1.25  Prover 0: Warning: ignoring some quantifiers
% 2.76/1.28  Prover 0: Constructing countermodel ...
% 5.32/1.80  Prover 0: proved (1172ms)
% 5.32/1.80  
% 5.32/1.80  No countermodel exists, formula is valid
% 5.32/1.80  % SZS status Theorem for theBenchmark
% 5.32/1.80  
% 5.32/1.80  Generating proof ... Warning: ignoring some quantifiers
% 6.22/2.01  found it (size 24)
% 6.22/2.01  
% 6.22/2.01  % SZS output start Proof for theBenchmark
% 6.22/2.01  Assumed formulas after preprocessing and simplification: 
% 6.22/2.01  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (singleton(v2) = v5 & difference(v3, v5) = v6 & difference(v1, v2) = v4 & partition(v3, v1) & member(v0, v4) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (singleton(v8) = v12) |  ~ (singleton(v7) = v10) |  ~ (difference(v9, v12) = v13) |  ~ (union(v11, v13) = v14) |  ~ (union(v8, v10) = v11) | insertIntoMember(v7, v8, v9) = v14) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ partition(v7, v8) |  ~ member(v11, v10) |  ~ member(v11, v9) |  ~ member(v10, v7) |  ~ member(v9, v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v8 = v7 |  ~ (insertIntoMember(v11, v10, v9) = v8) |  ~ (insertIntoMember(v11, v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v8 = v7 |  ~ (equivalence_class(v11, v10, v9) = v8) |  ~ (equivalence_class(v11, v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (equivalence_class(v9, v8, v7) = v11) |  ~ apply(v7, v9, v10) |  ~ member(v10, v8) | member(v10, v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (equivalence_class(v9, v8, v7) = v11) |  ~ member(v10, v11) | apply(v7, v9, v10)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (equivalence_class(v9, v8, v7) = v11) |  ~ member(v10, v11) | member(v10, v8)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ pre_order(v7, v8) |  ~ apply(v7, v10, v11) |  ~ apply(v7, v9, v10) |  ~ member(v11, v8) |  ~ member(v10, v8) |  ~ member(v9, v8) | apply(v7, v9, v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ apply(v8, v10, v11) |  ~ apply(v8, v9, v10) |  ~ equivalence(v8, v7) |  ~ member(v11, v7) |  ~ member(v10, v7) |  ~ member(v9, v7) | apply(v8, v9, v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v9 = v7 | v8 = v7 |  ~ (unordered_pair(v8, v9) = v10) |  ~ member(v7, v10)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (unordered_pair(v10, v9) = v8) |  ~ (unordered_pair(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 |  ~ (intersection(v10, v9) = v8) |  ~ (intersection(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (unaryUnion(v7) = v8) |  ~ member(v10, v7) |  ~ member(v9, v10) | member(v9, v8)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (insertIntoMember(v7, v8, v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (singleton(v8) = v13 & singleton(v7) = v11 & difference(v9, v13) = v14 & union(v12, v14) = v10 & union(v8, v11) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (product(v8) = v9) |  ~ member(v10, v8) |  ~ member(v7, v9) | member(v7, v10)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (sum(v8) = v9) |  ~ member(v10, v8) |  ~ member(v7, v10) | member(v7, v9)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (difference(v9, v8) = v10) |  ~ member(v7, v10) |  ~ member(v7, v8)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (difference(v9, v8) = v10) |  ~ member(v7, v10) | member(v7, v9)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (difference(v9, v8) = v10) |  ~ member(v7, v9) | member(v7, v10) | member(v7, v8)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (union(v8, v9) = v10) |  ~ member(v7, v10) | member(v7, v9) | member(v7, v8)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (union(v8, v9) = v10) |  ~ member(v7, v9) | member(v7, v10)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (union(v8, v9) = v10) |  ~ member(v7, v8) | member(v7, v10)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (intersection(v8, v9) = v10) |  ~ member(v7, v10) | member(v7, v9)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (intersection(v8, v9) = v10) |  ~ member(v7, v10) | member(v7, v8)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (intersection(v8, v9) = v10) |  ~ member(v7, v9) |  ~ member(v7, v8) | member(v7, v10)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ apply(v8, v9, v10) |  ~ equivalence(v8, v7) |  ~ member(v10, v7) |  ~ member(v9, v7) | apply(v8, v10, v9)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (unaryUnion(v9) = v8) |  ~ (unaryUnion(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (product(v9) = v8) |  ~ (product(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (sum(v9) = v8) |  ~ (sum(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (singleton(v9) = v8) |  ~ (singleton(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (singleton(v8) = v9) |  ~ member(v7, v9)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (power_set(v9) = v8) |  ~ (power_set(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (unaryUnion(v7) = v8) |  ~ member(v9, v8) |  ? [v10] : (member(v10, v7) & member(v9, v10))) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (sum(v8) = v9) |  ~ member(v7, v9) |  ? [v10] : (member(v10, v8) & member(v7, v10))) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (unordered_pair(v8, v7) = v9) | member(v7, v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (unordered_pair(v7, v8) = v9) | member(v7, v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (power_set(v8) = v9) |  ~ member(v7, v9) | subset(v7, v8)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (power_set(v8) = v9) |  ~ subset(v7, v8) | member(v7, v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ pre_order(v7, v8) |  ~ member(v9, v8) | apply(v7, v9, v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ equivalence(v8, v7) |  ~ member(v9, v7) | apply(v8, v9, v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ partition(v7, v8) |  ~ member(v9, v8) |  ? [v10] : (member(v10, v7) & member(v9, v10))) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ partition(v7, v8) |  ~ member(v9, v7) | subset(v9, v8)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ disjoint(v7, v8) |  ~ member(v9, v8) |  ~ member(v9, v7)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ member(v9, v7) |  ~ subset(v7, v8) | member(v9, v8)) &  ? [v7] :  ! [v8] :  ! [v9] : (v9 = v7 |  ~ (unaryUnion(v8) = v9) |  ? [v10] :  ? [v11] : (( ~ member(v10, v7) |  ! [v12] : ( ~ member(v12, v8) |  ~ member(v10, v12))) & (member(v10, v7) | (member(v11, v8) & member(v10, v11))))) &  ? [v7] :  ! [v8] :  ! [v9] : ( ~ (product(v8) = v9) | member(v7, v9) |  ? [v10] : (member(v10, v8) &  ~ member(v7, v10))) &  ! [v7] :  ! [v8] : ( ~ (singleton(v7) = v8) | member(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ partition(v7, v8) | non_overlapping(v7)) &  ! [v7] :  ! [v8] : ( ~ equal_set(v7, v8) | subset(v8, v7)) &  ! [v7] :  ! [v8] : ( ~ equal_set(v7, v8) | subset(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ subset(v8, v7) |  ~ subset(v7, v8) | equal_set(v7, v8)) &  ! [v7] : ( ~ non_overlapping(v7) |  ? [v8] : partition(v7, v8)) &  ! [v7] : ( ~ member(v7, v6) |  ~ member(v0, v7)) &  ! [v7] :  ~ member(v7, empty_set) &  ? [v7] :  ? [v8] : (pre_order(v7, v8) |  ? [v9] :  ? [v10] :  ? [v11] : ((apply(v7, v10, v11) & apply(v7, v9, v10) & member(v11, v8) & member(v10, v8) & member(v9, v8) &  ~ apply(v7, v9, v11)) | (member(v9, v8) &  ~ apply(v7, v9, v9)))) &  ? [v7] :  ? [v8] : (equivalence(v8, v7) |  ? [v9] :  ? [v10] :  ? [v11] : ((apply(v8, v10, v11) & apply(v8, v9, v10) & member(v11, v7) & member(v10, v7) & member(v9, v7) &  ~ apply(v8, v9, v11)) | (apply(v8, v9, v10) & member(v10, v7) & member(v9, v7) &  ~ apply(v8, v10, v9)) | (member(v9, v7) &  ~ apply(v8, v9, v9)))) &  ? [v7] :  ? [v8] : (partition(v7, v8) |  ? [v9] :  ? [v10] :  ? [v11] : (( ~ (v10 = v9) & member(v11, v10) & member(v11, v9) & member(v10, v7) & member(v9, v7)) | (member(v9, v8) &  ! [v12] : ( ~ member(v12, v7) |  ~ member(v9, v12))) | (member(v9, v7) &  ~ subset(v9, v8)))) &  ? [v7] :  ? [v8] : (disjoint(v7, v8) |  ? [v9] : (member(v9, v8) & member(v9, v7))) &  ? [v7] :  ? [v8] : (subset(v7, v8) |  ? [v9] : (member(v9, v7) &  ~ member(v9, v8))))
% 6.22/2.06  | 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:
% 6.22/2.06  | (1) singleton(all_0_4_4) = all_0_1_1 & difference(all_0_3_3, all_0_1_1) = all_0_0_0 & difference(all_0_5_5, all_0_4_4) = all_0_2_2 & partition(all_0_3_3, all_0_5_5) & member(all_0_6_6, all_0_2_2) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (singleton(v1) = v5) |  ~ (singleton(v0) = v3) |  ~ (difference(v2, v5) = v6) |  ~ (union(v4, v6) = v7) |  ~ (union(v1, v3) = v4) | insertIntoMember(v0, v1, v2) = v7) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ partition(v0, v1) |  ~ member(v4, v3) |  ~ member(v4, v2) |  ~ member(v3, v0) |  ~ member(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (insertIntoMember(v4, v3, v2) = v1) |  ~ (insertIntoMember(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (equivalence_class(v4, v3, v2) = v1) |  ~ (equivalence_class(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (equivalence_class(v2, v1, v0) = v4) |  ~ apply(v0, v2, v3) |  ~ member(v3, v1) | member(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (equivalence_class(v2, v1, v0) = v4) |  ~ member(v3, v4) | apply(v0, v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (equivalence_class(v2, v1, v0) = v4) |  ~ member(v3, v4) | member(v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ pre_order(v0, v1) |  ~ apply(v0, v3, v4) |  ~ apply(v0, v2, v3) |  ~ member(v4, v1) |  ~ member(v3, v1) |  ~ member(v2, v1) | apply(v0, v2, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ apply(v1, v3, v4) |  ~ apply(v1, v2, v3) |  ~ equivalence(v1, v0) |  ~ member(v4, v0) |  ~ member(v3, v0) |  ~ member(v2, v0) | apply(v1, v2, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v0 | v1 = v0 |  ~ (unordered_pair(v1, v2) = v3) |  ~ member(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (unordered_pair(v3, v2) = v1) |  ~ (unordered_pair(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 |  ~ (intersection(v3, v2) = v1) |  ~ (intersection(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unaryUnion(v0) = v1) |  ~ member(v3, v0) |  ~ member(v2, v3) | member(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (insertIntoMember(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (singleton(v1) = v6 & singleton(v0) = v4 & difference(v2, v6) = v7 & union(v5, v7) = v3 & union(v1, v4) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (product(v1) = v2) |  ~ member(v3, v1) |  ~ member(v0, v2) | member(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sum(v1) = v2) |  ~ member(v3, v1) |  ~ member(v0, v3) | member(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (difference(v2, v1) = v3) |  ~ member(v0, v3) |  ~ member(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (difference(v2, v1) = v3) |  ~ member(v0, v3) | member(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (difference(v2, v1) = v3) |  ~ member(v0, v2) | member(v0, v3) | member(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v1, v2) = v3) |  ~ member(v0, v3) | member(v0, v2) | member(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v1, v2) = v3) |  ~ member(v0, v2) | member(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v1, v2) = v3) |  ~ member(v0, v1) | member(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (intersection(v1, v2) = v3) |  ~ member(v0, v3) | member(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (intersection(v1, v2) = v3) |  ~ member(v0, v3) | member(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (intersection(v1, v2) = v3) |  ~ member(v0, v2) |  ~ member(v0, v1) | member(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ apply(v1, v2, v3) |  ~ equivalence(v1, v0) |  ~ member(v3, v0) |  ~ member(v2, v0) | apply(v1, v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (unaryUnion(v2) = v1) |  ~ (unaryUnion(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (product(v2) = v1) |  ~ (product(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (sum(v2) = v1) |  ~ (sum(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (singleton(v2) = v1) |  ~ (singleton(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (singleton(v1) = v2) |  ~ member(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (power_set(v2) = v1) |  ~ (power_set(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unaryUnion(v0) = v1) |  ~ member(v2, v1) |  ? [v3] : (member(v3, v0) & member(v2, v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sum(v1) = v2) |  ~ member(v0, v2) |  ? [v3] : (member(v3, v1) & member(v0, v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v1, v0) = v2) | member(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | member(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (power_set(v1) = v2) |  ~ member(v0, v2) | subset(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (power_set(v1) = v2) |  ~ subset(v0, v1) | member(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ pre_order(v0, v1) |  ~ member(v2, v1) | apply(v0, v2, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ equivalence(v1, v0) |  ~ member(v2, v0) | apply(v1, v2, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ partition(v0, v1) |  ~ member(v2, v1) |  ? [v3] : (member(v3, v0) & member(v2, v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ partition(v0, v1) |  ~ member(v2, v0) | subset(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjoint(v0, v1) |  ~ member(v2, v1) |  ~ member(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ member(v2, v0) |  ~ subset(v0, v1) | member(v2, v1)) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (unaryUnion(v1) = v2) |  ? [v3] :  ? [v4] : (( ~ member(v3, v0) |  ! [v5] : ( ~ member(v5, v1) |  ~ member(v3, v5))) & (member(v3, v0) | (member(v4, v1) & member(v3, v4))))) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (product(v1) = v2) | member(v0, v2) |  ? [v3] : (member(v3, v1) &  ~ member(v0, v3))) &  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | member(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ partition(v0, v1) | non_overlapping(v0)) &  ! [v0] :  ! [v1] : ( ~ equal_set(v0, v1) | subset(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ equal_set(v0, v1) | subset(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ subset(v1, v0) |  ~ subset(v0, v1) | equal_set(v0, v1)) &  ! [v0] : ( ~ non_overlapping(v0) |  ? [v1] : partition(v0, v1)) &  ! [v0] : ( ~ member(v0, all_0_0_0) |  ~ member(all_0_6_6, v0)) &  ! [v0] :  ~ member(v0, empty_set) &  ? [v0] :  ? [v1] : (pre_order(v0, v1) |  ? [v2] :  ? [v3] :  ? [v4] : ((apply(v0, v3, v4) & apply(v0, v2, v3) & member(v4, v1) & member(v3, v1) & member(v2, v1) &  ~ apply(v0, v2, v4)) | (member(v2, v1) &  ~ apply(v0, v2, v2)))) &  ? [v0] :  ? [v1] : (equivalence(v1, v0) |  ? [v2] :  ? [v3] :  ? [v4] : ((apply(v1, v3, v4) & apply(v1, v2, v3) & member(v4, v0) & member(v3, v0) & member(v2, v0) &  ~ apply(v1, v2, v4)) | (apply(v1, v2, v3) & member(v3, v0) & member(v2, v0) &  ~ apply(v1, v3, v2)) | (member(v2, v0) &  ~ apply(v1, v2, v2)))) &  ? [v0] :  ? [v1] : (partition(v0, v1) |  ? [v2] :  ? [v3] :  ? [v4] : (( ~ (v3 = v2) & member(v4, v3) & member(v4, v2) & member(v3, v0) & member(v2, v0)) | (member(v2, v1) &  ! [v5] : ( ~ member(v5, v0) |  ~ member(v2, v5))) | (member(v2, v0) &  ~ subset(v2, v1)))) &  ? [v0] :  ? [v1] : (disjoint(v0, v1) |  ? [v2] : (member(v2, v1) & member(v2, v0))) &  ? [v0] :  ? [v1] : (subset(v0, v1) |  ? [v2] : (member(v2, v0) &  ~ member(v2, v1)))
% 6.22/2.08  |
% 6.22/2.08  | Applying alpha-rule on (1) yields:
% 6.22/2.08  | (2)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (product(v1) = v2) | member(v0, v2) |  ? [v3] : (member(v3, v1) &  ~ member(v0, v3)))
% 6.22/2.08  | (3)  ? [v0] :  ? [v1] : (pre_order(v0, v1) |  ? [v2] :  ? [v3] :  ? [v4] : ((apply(v0, v3, v4) & apply(v0, v2, v3) & member(v4, v1) & member(v3, v1) & member(v2, v1) &  ~ apply(v0, v2, v4)) | (member(v2, v1) &  ~ apply(v0, v2, v2))))
% 6.22/2.08  | (4)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | member(v0, v1))
% 6.22/2.08  | (5)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (intersection(v3, v2) = v1) |  ~ (intersection(v3, v2) = v0))
% 6.22/2.08  | (6)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ partition(v0, v1) |  ~ member(v4, v3) |  ~ member(v4, v2) |  ~ member(v3, v0) |  ~ member(v2, v0))
% 6.22/2.08  | (7)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sum(v1) = v2) |  ~ member(v0, v2) |  ? [v3] : (member(v3, v1) & member(v0, v3)))
% 6.22/2.08  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (difference(v2, v1) = v3) |  ~ member(v0, v2) | member(v0, v3) | member(v0, v1))
% 6.22/2.08  | (9)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ equivalence(v1, v0) |  ~ member(v2, v0) | apply(v1, v2, v2))
% 6.22/2.08  | (10) member(all_0_6_6, all_0_2_2)
% 6.22/2.08  | (11)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v1, v2) = v3) |  ~ member(v0, v1) | member(v0, v3))
% 6.22/2.08  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (union(v3, v2) = v1) |  ~ (union(v3, v2) = v0))
% 6.22/2.08  | (13)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ apply(v1, v2, v3) |  ~ equivalence(v1, v0) |  ~ member(v3, v0) |  ~ member(v2, v0) | apply(v1, v3, v2))
% 6.68/2.08  | (14)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (difference(v2, v1) = v3) |  ~ member(v0, v3) |  ~ member(v0, v1))
% 6.68/2.08  | (15)  ! [v0] :  ! [v1] : ( ~ equal_set(v0, v1) | subset(v0, v1))
% 6.68/2.08  | (16)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v1, v2) = v3) |  ~ member(v0, v3) | member(v0, v2) | member(v0, v1))
% 6.68/2.08  | (17) difference(all_0_3_3, all_0_1_1) = all_0_0_0
% 6.68/2.08  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (insertIntoMember(v4, v3, v2) = v1) |  ~ (insertIntoMember(v4, v3, v2) = v0))
% 6.68/2.08  | (19) difference(all_0_5_5, all_0_4_4) = all_0_2_2
% 6.68/2.08  | (20)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ partition(v0, v1) |  ~ member(v2, v0) | subset(v2, v1))
% 6.68/2.08  | (21)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v0 | v1 = v0 |  ~ (unordered_pair(v1, v2) = v3) |  ~ member(v0, v3))
% 6.68/2.08  | (22)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ pre_order(v0, v1) |  ~ member(v2, v1) | apply(v0, v2, v2))
% 6.68/2.08  | (23)  ! [v0] : ( ~ member(v0, all_0_0_0) |  ~ member(all_0_6_6, v0))
% 6.68/2.08  | (24)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unaryUnion(v0) = v1) |  ~ member(v3, v0) |  ~ member(v2, v3) | member(v2, v1))
% 6.68/2.09  | (25)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (singleton(v1) = v2) |  ~ member(v0, v2))
% 6.68/2.09  | (26)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ member(v2, v0) |  ~ subset(v0, v1) | member(v2, v1))
% 6.68/2.09  | (27)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | member(v0, v2))
% 6.68/2.09  | (28)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (equivalence_class(v2, v1, v0) = v4) |  ~ member(v3, v4) | member(v3, v1))
% 6.68/2.09  | (29)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (sum(v2) = v1) |  ~ (sum(v2) = v0))
% 6.68/2.09  | (30)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ apply(v1, v3, v4) |  ~ apply(v1, v2, v3) |  ~ equivalence(v1, v0) |  ~ member(v4, v0) |  ~ member(v3, v0) |  ~ member(v2, v0) | apply(v1, v2, v4))
% 6.68/2.09  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (intersection(v1, v2) = v3) |  ~ member(v0, v2) |  ~ member(v0, v1) | member(v0, v3))
% 6.68/2.09  | (32) singleton(all_0_4_4) = all_0_1_1
% 6.68/2.09  | (33)  ? [v0] :  ? [v1] : (equivalence(v1, v0) |  ? [v2] :  ? [v3] :  ? [v4] : ((apply(v1, v3, v4) & apply(v1, v2, v3) & member(v4, v0) & member(v3, v0) & member(v2, v0) &  ~ apply(v1, v2, v4)) | (apply(v1, v2, v3) & member(v3, v0) & member(v2, v0) &  ~ apply(v1, v3, v2)) | (member(v2, v0) &  ~ apply(v1, v2, v2))))
% 6.68/2.09  | (34)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (intersection(v1, v2) = v3) |  ~ member(v0, v3) | member(v0, v2))
% 6.68/2.09  | (35)  ! [v0] :  ! [v1] : ( ~ subset(v1, v0) |  ~ subset(v0, v1) | equal_set(v0, v1))
% 6.68/2.09  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (insertIntoMember(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (singleton(v1) = v6 & singleton(v0) = v4 & difference(v2, v6) = v7 & union(v5, v7) = v3 & union(v1, v4) = v5))
% 6.68/2.09  | (37)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (unordered_pair(v3, v2) = v1) |  ~ (unordered_pair(v3, v2) = v0))
% 6.68/2.09  | (38)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (power_set(v2) = v1) |  ~ (power_set(v2) = v0))
% 6.68/2.09  | (39)  ! [v0] :  ! [v1] : ( ~ partition(v0, v1) | non_overlapping(v0))
% 6.68/2.09  | (40)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (difference(v2, v1) = v3) |  ~ member(v0, v3) | member(v0, v2))
% 6.68/2.09  | (41)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (power_set(v1) = v2) |  ~ subset(v0, v1) | member(v0, v2))
% 6.68/2.09  | (42)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (power_set(v1) = v2) |  ~ member(v0, v2) | subset(v0, v1))
% 6.68/2.09  | (43) partition(all_0_3_3, all_0_5_5)
% 6.68/2.09  | (44)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ pre_order(v0, v1) |  ~ apply(v0, v3, v4) |  ~ apply(v0, v2, v3) |  ~ member(v4, v1) |  ~ member(v3, v1) |  ~ member(v2, v1) | apply(v0, v2, v4))
% 6.68/2.09  | (45)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (product(v1) = v2) |  ~ member(v3, v1) |  ~ member(v0, v2) | member(v0, v3))
% 6.68/2.09  | (46)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ partition(v0, v1) |  ~ member(v2, v1) |  ? [v3] : (member(v3, v0) & member(v2, v3)))
% 6.73/2.09  | (47)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (difference(v3, v2) = v1) |  ~ (difference(v3, v2) = v0))
% 6.73/2.09  | (48)  ? [v0] :  ? [v1] : (partition(v0, v1) |  ? [v2] :  ? [v3] :  ? [v4] : (( ~ (v3 = v2) & member(v4, v3) & member(v4, v2) & member(v3, v0) & member(v2, v0)) | (member(v2, v1) &  ! [v5] : ( ~ member(v5, v0) |  ~ member(v2, v5))) | (member(v2, v0) &  ~ subset(v2, v1))))
% 6.73/2.09  | (49)  ! [v0] : ( ~ non_overlapping(v0) |  ? [v1] : partition(v0, v1))
% 6.73/2.09  | (50)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v1, v2) = v3) |  ~ member(v0, v2) | member(v0, v3))
% 6.73/2.09  | (51)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (equivalence_class(v2, v1, v0) = v4) |  ~ apply(v0, v2, v3) |  ~ member(v3, v1) | member(v3, v4))
% 6.73/2.10  | (52)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sum(v1) = v2) |  ~ member(v3, v1) |  ~ member(v0, v3) | member(v0, v2))
% 6.73/2.10  | (53)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (equivalence_class(v4, v3, v2) = v1) |  ~ (equivalence_class(v4, v3, v2) = v0))
% 6.73/2.10  | (54)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (singleton(v2) = v1) |  ~ (singleton(v2) = v0))
% 6.73/2.10  | (55)  ? [v0] :  ? [v1] : (disjoint(v0, v1) |  ? [v2] : (member(v2, v1) & member(v2, v0)))
% 6.73/2.10  | (56)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (product(v2) = v1) |  ~ (product(v2) = v0))
% 6.73/2.10  | (57)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (unaryUnion(v2) = v1) |  ~ (unaryUnion(v2) = v0))
% 6.73/2.10  | (58)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (intersection(v1, v2) = v3) |  ~ member(v0, v3) | member(v0, v1))
% 6.73/2.10  | (59)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (unaryUnion(v1) = v2) |  ? [v3] :  ? [v4] : (( ~ member(v3, v0) |  ! [v5] : ( ~ member(v5, v1) |  ~ member(v3, v5))) & (member(v3, v0) | (member(v4, v1) & member(v3, v4)))))
% 6.73/2.10  | (60)  ! [v0] :  ~ member(v0, empty_set)
% 6.73/2.10  | (61)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unaryUnion(v0) = v1) |  ~ member(v2, v1) |  ? [v3] : (member(v3, v0) & member(v2, v3)))
% 6.73/2.10  | (62)  ? [v0] :  ? [v1] : (subset(v0, v1) |  ? [v2] : (member(v2, v0) &  ~ member(v2, v1)))
% 6.73/2.10  | (63)  ! [v0] :  ! [v1] : ( ~ equal_set(v0, v1) | subset(v1, v0))
% 6.73/2.10  | (64)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjoint(v0, v1) |  ~ member(v2, v1) |  ~ member(v2, v0))
% 6.73/2.10  | (65)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (equivalence_class(v2, v1, v0) = v4) |  ~ member(v3, v4) | apply(v0, v2, v3))
% 6.73/2.10  | (66)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v1, v0) = v2) | member(v0, v2))
% 6.73/2.10  | (67)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (singleton(v1) = v5) |  ~ (singleton(v0) = v3) |  ~ (difference(v2, v5) = v6) |  ~ (union(v4, v6) = v7) |  ~ (union(v1, v3) = v4) | insertIntoMember(v0, v1, v2) = v7)
% 6.73/2.10  |
% 6.73/2.10  | Instantiating formula (39) with all_0_5_5, all_0_3_3 and discharging atoms partition(all_0_3_3, all_0_5_5), yields:
% 6.73/2.10  | (68) non_overlapping(all_0_3_3)
% 6.73/2.10  |
% 6.73/2.10  | Instantiating formula (40) with all_0_2_2, all_0_5_5, all_0_4_4, all_0_6_6 and discharging atoms difference(all_0_5_5, all_0_4_4) = all_0_2_2, member(all_0_6_6, all_0_2_2), yields:
% 6.73/2.10  | (69) member(all_0_6_6, all_0_5_5)
% 6.73/2.10  |
% 6.73/2.10  | Instantiating formula (49) with all_0_3_3 and discharging atoms non_overlapping(all_0_3_3), yields:
% 6.73/2.10  | (70)  ? [v0] : partition(all_0_3_3, v0)
% 6.73/2.10  |
% 6.73/2.10  | Instantiating formula (46) with all_0_6_6, all_0_5_5, all_0_3_3 and discharging atoms partition(all_0_3_3, all_0_5_5), member(all_0_6_6, all_0_5_5), yields:
% 6.73/2.10  | (71)  ? [v0] : (member(v0, all_0_3_3) & member(all_0_6_6, v0))
% 6.73/2.10  |
% 6.73/2.10  | Instantiating (71) with all_23_0_19 yields:
% 6.73/2.10  | (72) member(all_23_0_19, all_0_3_3) & member(all_0_6_6, all_23_0_19)
% 6.73/2.10  |
% 6.73/2.10  | Applying alpha-rule on (72) yields:
% 6.73/2.10  | (73) member(all_23_0_19, all_0_3_3)
% 6.73/2.10  | (74) member(all_0_6_6, all_23_0_19)
% 6.73/2.10  |
% 6.73/2.10  | Instantiating (70) with all_25_0_20 yields:
% 6.73/2.10  | (75) partition(all_0_3_3, all_25_0_20)
% 6.73/2.10  |
% 6.73/2.10  | Instantiating formula (8) with all_0_0_0, all_0_3_3, all_0_1_1, all_23_0_19 and discharging atoms difference(all_0_3_3, all_0_1_1) = all_0_0_0, member(all_23_0_19, all_0_3_3), yields:
% 6.73/2.10  | (76) member(all_23_0_19, all_0_0_0) | member(all_23_0_19, all_0_1_1)
% 6.73/2.10  |
% 6.73/2.10  | Instantiating formula (20) with all_23_0_19, all_25_0_20, all_0_3_3 and discharging atoms partition(all_0_3_3, all_25_0_20), member(all_23_0_19, all_0_3_3), yields:
% 6.73/2.11  | (77) subset(all_23_0_19, all_25_0_20)
% 6.73/2.11  |
% 6.73/2.11  | Instantiating formula (26) with all_0_6_6, all_25_0_20, all_23_0_19 and discharging atoms member(all_0_6_6, all_23_0_19), subset(all_23_0_19, all_25_0_20), yields:
% 6.73/2.11  | (78) member(all_0_6_6, all_25_0_20)
% 6.73/2.11  |
% 6.73/2.11  | Instantiating formula (46) with all_0_6_6, all_25_0_20, all_0_3_3 and discharging atoms partition(all_0_3_3, all_25_0_20), member(all_0_6_6, all_25_0_20), yields:
% 6.73/2.11  | (71)  ? [v0] : (member(v0, all_0_3_3) & member(all_0_6_6, v0))
% 6.73/2.11  |
% 6.73/2.11  | Instantiating (71) with all_44_0_21 yields:
% 6.73/2.11  | (80) member(all_44_0_21, all_0_3_3) & member(all_0_6_6, all_44_0_21)
% 6.73/2.11  |
% 6.73/2.11  | Applying alpha-rule on (80) yields:
% 6.73/2.11  | (81) member(all_44_0_21, all_0_3_3)
% 6.80/2.11  | (82) member(all_0_6_6, all_44_0_21)
% 6.80/2.11  |
% 6.80/2.11  | Instantiating formula (6) with all_0_6_6, all_23_0_19, all_44_0_21, all_0_5_5, all_0_3_3 and discharging atoms partition(all_0_3_3, all_0_5_5), member(all_44_0_21, all_0_3_3), member(all_23_0_19, all_0_3_3), member(all_0_6_6, all_44_0_21), member(all_0_6_6, all_23_0_19), yields:
% 6.80/2.11  | (83) all_44_0_21 = all_23_0_19
% 6.80/2.11  |
% 6.80/2.11  | From (83) and (82) follows:
% 6.80/2.11  | (74) member(all_0_6_6, all_23_0_19)
% 6.80/2.11  |
% 6.80/2.11  +-Applying beta-rule and splitting (76), into two cases.
% 6.80/2.11  |-Branch one:
% 6.80/2.11  | (85) member(all_23_0_19, all_0_0_0)
% 6.80/2.11  |
% 6.80/2.11  	| Instantiating formula (23) with all_23_0_19 and discharging atoms member(all_23_0_19, all_0_0_0), member(all_0_6_6, all_23_0_19), yields:
% 6.80/2.11  	| (86) $false
% 6.80/2.11  	|
% 6.82/2.11  	|-The branch is then unsatisfiable
% 6.82/2.11  |-Branch two:
% 6.82/2.11  | (87)  ~ member(all_23_0_19, all_0_0_0)
% 6.82/2.11  | (88) member(all_23_0_19, all_0_1_1)
% 6.82/2.11  |
% 6.82/2.11  	| Instantiating formula (25) with all_0_1_1, all_0_4_4, all_23_0_19 and discharging atoms singleton(all_0_4_4) = all_0_1_1, member(all_23_0_19, all_0_1_1), yields:
% 6.82/2.11  	| (89) all_23_0_19 = all_0_4_4
% 6.82/2.11  	|
% 6.82/2.11  	| From (89) and (74) follows:
% 6.82/2.11  	| (90) member(all_0_6_6, all_0_4_4)
% 6.82/2.11  	|
% 6.82/2.11  	| Instantiating formula (14) with all_0_2_2, all_0_5_5, all_0_4_4, all_0_6_6 and discharging atoms difference(all_0_5_5, all_0_4_4) = all_0_2_2, member(all_0_6_6, all_0_2_2), member(all_0_6_6, all_0_4_4), yields:
% 6.82/2.11  	| (86) $false
% 6.82/2.11  	|
% 6.82/2.11  	|-The branch is then unsatisfiable
% 6.82/2.11  % SZS output end Proof for theBenchmark
% 6.82/2.11  
% 6.82/2.11  1528ms
%------------------------------------------------------------------------------