%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SEU180+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n017.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 08:47:23 EDT 2022

% Result   : Theorem 6.94s 2.17s
% Output   : Proof 11.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU180+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n017.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 Jun 19 13:28:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.56          ____       _                          
% 0.19/0.56    ___  / __ \_____(_)___  ________  __________
% 0.19/0.56   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.56  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.19/0.56  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.19/0.56  
% 0.19/0.56  A Theorem Prover for First-Order Logic
% 0.19/0.56  (ePrincess v.1.0)
% 0.19/0.56  
% 0.19/0.56  (c) Philipp Rümmer, 2009-2015
% 0.19/0.56  (c) Peter Backeman, 2014-2015
% 0.19/0.56  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.56  Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.56  Bug reports to peter@backeman.se
% 0.19/0.56  
% 0.19/0.56  For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.56  
% 0.58/0.57  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.62/0.61  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.07/1.06  Prover 0: Preprocessing ...
% 4.95/1.72  Prover 0: Warning: ignoring some quantifiers
% 4.95/1.76  Prover 0: Constructing countermodel ...
% 6.94/2.17  Prover 0: proved (1556ms)
% 6.94/2.17  
% 6.94/2.17  No countermodel exists, formula is valid
% 6.94/2.17  % SZS status Theorem for theBenchmark
% 6.94/2.17  
% 6.94/2.17  Generating proof ... Warning: ignoring some quantifiers
% 10.24/2.91  found it (size 35)
% 10.24/2.91  
% 10.24/2.91  % SZS output start Proof for theBenchmark
% 10.24/2.91  Assumed formulas after preprocessing and simplification: 
% 10.24/2.91  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (relation_field(v3) = v5 & powerset(empty_set) = v0 & singleton(empty_set) = v0 & ordered_pair(v1, v2) = v4 & empty(v8) & empty(v7) & empty(empty_set) & relation(v8) & relation(v3) & in(v4, v3) &  ~ empty(v6) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (cartesian_product2(v11, v12) = v14) |  ~ (ordered_pair(v9, v10) = v13) |  ~ in(v13, v14) | in(v10, v12)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (cartesian_product2(v11, v12) = v14) |  ~ (ordered_pair(v9, v10) = v13) |  ~ in(v13, v14) | in(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (cartesian_product2(v11, v12) = v14) |  ~ (ordered_pair(v9, v10) = v13) |  ~ in(v10, v12) |  ~ in(v9, v11) | in(v13, v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (cartesian_product2(v10, v12) = v14) |  ~ (cartesian_product2(v9, v11) = v13) |  ~ subset(v11, v12) |  ~ subset(v9, v10) | subset(v13, v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (cartesian_product2(v9, v10) = v11) |  ~ (ordered_pair(v13, v14) = v12) |  ~ in(v14, v10) |  ~ in(v13, v9) | in(v12, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v12 = v10 |  ~ (ordered_pair(v11, v12) = v13) |  ~ (ordered_pair(v9, v10) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v12 = v9 | v11 = v9 |  ~ (unordered_pair(v11, v12) = v13) |  ~ (unordered_pair(v9, v10) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v9 |  ~ (ordered_pair(v11, v12) = v13) |  ~ (ordered_pair(v9, v10) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v10 = v9 |  ~ (subset_difference(v13, v12, v11) = v10) |  ~ (subset_difference(v13, v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v10 = empty_set |  ~ (subset_difference(v9, v11, v12) = v13) |  ~ (meet_of_subsets(v9, v10) = v12) |  ~ (cast_to_subset(v9) = v11) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (union_of_subsets(v9, v16) = v17 & complements_of_subsets(v9, v10) = v16 & powerset(v14) = v15 & powerset(v9) = v14 & (v17 = v13 |  ~ element(v10, v15)))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v10 = empty_set |  ~ (subset_difference(v9, v11, v12) = v13) |  ~ (union_of_subsets(v9, v10) = v12) |  ~ (cast_to_subset(v9) = v11) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (meet_of_subsets(v9, v16) = v17 & complements_of_subsets(v9, v10) = v16 & powerset(v14) = v15 & powerset(v9) = v14 & (v17 = v13 |  ~ element(v10, v15)))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v9 = empty_set |  ~ (subset_complement(v9, v11) = v12) |  ~ (powerset(v9) = v10) |  ~ element(v13, v9) |  ~ element(v11, v10) | in(v13, v12) | in(v13, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (subset_complement(v9, v12) = v13) |  ~ (powerset(v9) = v11) |  ~ disjoint(v10, v12) |  ~ element(v12, v11) |  ~ element(v10, v11) | subset(v10, v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (subset_complement(v9, v12) = v13) |  ~ (powerset(v9) = v11) |  ~ element(v12, v11) |  ~ element(v10, v11) |  ~ subset(v10, v13) | disjoint(v10, v12)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (relation_rng(v11) = v13) |  ~ (ordered_pair(v9, v10) = v12) |  ~ relation(v11) |  ~ in(v12, v11) | in(v10, v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (relation_rng(v11) = v13) |  ~ (ordered_pair(v9, v10) = v12) |  ~ relation(v11) |  ~ in(v12, v11) |  ? [v14] : (relation_dom(v11) = v14 & in(v9, v14))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (relation_rng(v9) = v10) |  ~ (ordered_pair(v12, v11) = v13) |  ~ relation(v9) |  ~ in(v13, v9) | in(v11, v10)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (set_difference(v10, v12) = v13) |  ~ (singleton(v11) = v12) |  ~ subset(v9, v10) | subset(v9, v13) | in(v11, v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (set_difference(v10, v11) = v13) |  ~ (set_difference(v9, v11) = v12) |  ~ subset(v9, v10) | subset(v12, v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (set_difference(v10, v11) = v13) |  ~ (powerset(v9) = v12) |  ~ element(v11, v12) |  ~ element(v10, v12) | subset_difference(v9, v10, v11) = v13) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (relation_dom(v11) = v13) |  ~ (ordered_pair(v9, v10) = v12) |  ~ relation(v11) |  ~ in(v12, v11) | in(v9, v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (relation_dom(v11) = v13) |  ~ (ordered_pair(v9, v10) = v12) |  ~ relation(v11) |  ~ in(v12, v11) |  ? [v14] : (relation_rng(v11) = v14 & in(v10, v14))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (relation_dom(v9) = v10) |  ~ (ordered_pair(v11, v12) = v13) |  ~ relation(v9) |  ~ in(v13, v9) | in(v11, v10)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (cartesian_product2(v11, v10) = v13) |  ~ (cartesian_product2(v11, v9) = v12) |  ~ subset(v9, v10) | subset(v12, v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (cartesian_product2(v11, v10) = v13) |  ~ (cartesian_product2(v11, v9) = v12) |  ~ subset(v9, v10) |  ? [v14] :  ? [v15] : (cartesian_product2(v10, v11) = v15 & cartesian_product2(v9, v11) = v14 & subset(v14, v15))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (cartesian_product2(v11, v10) = v13) |  ~ (cartesian_product2(v9, v11) = v12) |  ~ subset(v9, v10) |  ? [v14] :  ? [v15] : (cartesian_product2(v11, v9) = v15 & cartesian_product2(v10, v11) = v14 & subset(v15, v13) & subset(v12, v14))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (cartesian_product2(v11, v9) = v13) |  ~ (cartesian_product2(v10, v11) = v12) |  ~ subset(v9, v10) |  ? [v14] :  ? [v15] : (cartesian_product2(v11, v10) = v15 & cartesian_product2(v9, v11) = v14 & subset(v14, v12) & subset(v13, v15))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (cartesian_product2(v10, v11) = v13) |  ~ (cartesian_product2(v9, v11) = v12) |  ~ subset(v9, v10) | subset(v12, v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (cartesian_product2(v10, v11) = v13) |  ~ (cartesian_product2(v9, v11) = v12) |  ~ subset(v9, v10) |  ? [v14] :  ? [v15] : (cartesian_product2(v11, v10) = v15 & cartesian_product2(v11, v9) = v14 & subset(v14, v15))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (singleton(v9) = v12) |  ~ (unordered_pair(v11, v12) = v13) |  ~ (unordered_pair(v9, v10) = v11) | ordered_pair(v9, v10) = v13) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (set_intersection2(v10, v11) = v13) |  ~ (set_intersection2(v9, v11) = v12) |  ~ subset(v9, v10) | subset(v12, v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v10 | v12 = v9 |  ~ (unordered_pair(v9, v10) = v11) |  ~ in(v12, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v10 |  ~ (complements_of_subsets(v9, v11) = v12) |  ~ (complements_of_subsets(v9, v10) = v11) |  ? [v13] :  ? [v14] : (powerset(v13) = v14 & powerset(v9) = v13 &  ~ element(v10, v14))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v10 |  ~ (subset_complement(v9, v11) = v12) |  ~ (subset_complement(v9, v10) = v11) |  ? [v13] : (powerset(v9) = v13 &  ~ element(v10, v13))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v10 |  ~ (set_difference(v10, v9) = v11) |  ~ (set_union2(v9, v11) = v12) |  ~ subset(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v10 |  ~ (singleton(v9) = v11) |  ~ (set_union2(v11, v10) = v12) |  ~ in(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v9 |  ~ (set_difference(v9, v11) = v12) |  ~ (singleton(v10) = v11) | in(v10, v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (singleton(v9) = v12) |  ~ (unordered_pair(v10, v11) = v12)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (meet_of_subsets(v12, v11) = v10) |  ~ (meet_of_subsets(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (union_of_subsets(v12, v11) = v10) |  ~ (union_of_subsets(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (complements_of_subsets(v12, v11) = v10) |  ~ (complements_of_subsets(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (subset_complement(v12, v11) = v10) |  ~ (subset_complement(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (set_difference(v12, v11) = v10) |  ~ (set_difference(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (cartesian_product2(v12, v11) = v10) |  ~ (cartesian_product2(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (singleton(v10) = v12) |  ~ (singleton(v9) = v11) |  ~ subset(v11, v12)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (singleton(v9) = v12) |  ~ (unordered_pair(v10, v11) = v12)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (ordered_pair(v12, v11) = v10) |  ~ (ordered_pair(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (set_intersection2(v12, v11) = v10) |  ~ (set_intersection2(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (set_union2(v12, v11) = v10) |  ~ (set_union2(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (unordered_pair(v12, v11) = v10) |  ~ (unordered_pair(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = empty_set |  ~ (meet_of_subsets(v9, v11) = v12) |  ~ (complements_of_subsets(v9, v10) = v11) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (subset_difference(v9, v15, v16) = v17 & union_of_subsets(v9, v10) = v16 & cast_to_subset(v9) = v15 & powerset(v13) = v14 & powerset(v9) = v13 & (v17 = v12 |  ~ element(v10, v14)))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = empty_set |  ~ (union_of_subsets(v9, v11) = v12) |  ~ (complements_of_subsets(v9, v10) = v11) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (subset_difference(v9, v15, v16) = v17 & meet_of_subsets(v9, v10) = v16 & cast_to_subset(v9) = v15 & powerset(v13) = v14 & powerset(v9) = v13 & (v17 = v12 |  ~ element(v10, v14)))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v9 = empty_set |  ~ (set_meet(v9) = v10) |  ~ in(v12, v9) |  ~ in(v11, v10) | in(v11, v12)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (subset_difference(v9, v10, v11) = v12) |  ? [v13] :  ? [v14] : (set_difference(v10, v11) = v14 & powerset(v9) = v13 & (v14 = v12 |  ~ element(v11, v13) |  ~ element(v10, v13)))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (subset_difference(v9, v10, v11) = v12) |  ? [v13] : (powerset(v9) = v13 & ( ~ element(v11, v13) |  ~ element(v10, v13) | element(v12, v13)))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (subset_complement(v9, v11) = v12) |  ~ in(v10, v12) |  ~ in(v10, v11) |  ? [v13] : (powerset(v9) = v13 &  ~ element(v11, v13))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (relation_rng(v9) = v11) |  ~ (relation_dom(v9) = v10) |  ~ (cartesian_product2(v10, v11) = v12) |  ~ relation(v9) | subset(v9, v12)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (relation_rng(v9) = v11) |  ~ (relation_dom(v9) = v10) |  ~ (set_union2(v10, v11) = v12) |  ~ relation(v9) | relation_field(v9) = v12) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_difference(v11, v10) = v12) |  ~ (set_union2(v9, v10) = v11) | set_difference(v9, v10) = v12) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_difference(v10, v9) = v11) |  ~ (set_union2(v9, v11) = v12) | set_union2(v9, v10) = v12) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_difference(v9, v11) = v12) |  ~ (set_difference(v9, v10) = v11) | set_intersection2(v9, v10) = v12) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_difference(v9, v10) = v11) |  ~ in(v12, v11) |  ~ in(v12, v10)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_difference(v9, v10) = v11) |  ~ in(v12, v11) | in(v12, v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_difference(v9, v10) = v11) |  ~ in(v12, v9) | in(v12, v11) | in(v12, v10)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (union(v10) = v12) |  ~ (powerset(v9) = v11) |  ? [v13] :  ? [v14] : (union_of_subsets(v9, v10) = v14 & powerset(v11) = v13 & (v14 = v12 |  ~ element(v10, v13)))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (union(v9) = v10) |  ~ in(v12, v9) |  ~ in(v11, v12) | in(v11, v10)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (cartesian_product2(v9, v10) = v11) |  ~ in(v12, v11) |  ? [v13] :  ? [v14] : (ordered_pair(v13, v14) = v12 & in(v14, v10) & in(v13, v9))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (powerset(v11) = v12) |  ~ element(v10, v12) |  ~ empty(v11) |  ~ in(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (powerset(v11) = v12) |  ~ element(v10, v12) |  ~ in(v9, v10) | element(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (powerset(v9) = v11) |  ~ (set_meet(v10) = v12) |  ? [v13] :  ? [v14] : (meet_of_subsets(v9, v10) = v14 & powerset(v11) = v13 & (v14 = v12 |  ~ element(v10, v13)))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (powerset(v9) = v11) |  ~ element(v10, v11) |  ~ in(v12, v10) | in(v12, v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_intersection2(v10, v11) = v12) |  ~ subset(v9, v11) |  ~ subset(v9, v10) | subset(v9, v12)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_intersection2(v9, v10) = v11) |  ~ disjoint(v9, v10) |  ~ in(v12, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_intersection2(v9, v10) = v11) |  ~ in(v12, v11) | in(v12, v10)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_intersection2(v9, v10) = v11) |  ~ in(v12, v11) | in(v12, v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_intersection2(v9, v10) = v11) |  ~ in(v12, v10) |  ~ in(v12, v9) | in(v12, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_union2(v9, v11) = v12) |  ~ subset(v11, v10) |  ~ subset(v9, v10) | subset(v12, v10)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_union2(v9, v10) = v11) |  ~ in(v12, v11) | in(v12, v10) | in(v12, v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_union2(v9, v10) = v11) |  ~ in(v12, v10) | in(v12, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (set_union2(v9, v10) = v11) |  ~ in(v12, v9) | in(v12, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (unordered_pair(v9, v10) = v12) |  ~ subset(v12, v11) | in(v10, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (unordered_pair(v9, v10) = v12) |  ~ subset(v12, v11) | in(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (unordered_pair(v9, v10) = v12) |  ~ in(v10, v11) |  ~ in(v9, v11) | subset(v12, v11)) &  ? [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v9 |  ~ (set_difference(v10, v11) = v12) |  ? [v13] : (( ~ in(v13, v10) |  ~ in(v13, v9) | in(v13, v11)) & (in(v13, v9) | (in(v13, v10) &  ~ in(v13, v11))))) &  ? [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v9 |  ~ (cartesian_product2(v10, v11) = v12) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : (( ~ in(v13, v9) |  ! [v17] :  ! [v18] : ( ~ (ordered_pair(v17, v18) = v13) |  ~ in(v18, v11) |  ~ in(v17, v10))) & (in(v13, v9) | (v16 = v13 & ordered_pair(v14, v15) = v13 & in(v15, v11) & in(v14, v10))))) &  ? [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v9 |  ~ (set_intersection2(v10, v11) = v12) |  ? [v13] : (( ~ in(v13, v11) |  ~ in(v13, v10) |  ~ in(v13, v9)) & (in(v13, v9) | (in(v13, v11) & in(v13, v10))))) &  ? [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v9 |  ~ (set_union2(v10, v11) = v12) |  ? [v13] : (( ~ in(v13, v9) | ( ~ in(v13, v11) &  ~ in(v13, v10))) & (in(v13, v11) | in(v13, v10) | in(v13, v9)))) &  ? [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v9 |  ~ (unordered_pair(v10, v11) = v12) |  ? [v13] : ((v13 = v11 | v13 = v10 | in(v13, v9)) & ( ~ in(v13, v9) | ( ~ (v13 = v11) &  ~ (v13 = v10))))) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = v10 |  ~ (set_union2(v9, v10) = v11) |  ~ subset(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = v9 | v9 = empty_set |  ~ (singleton(v10) = v11) |  ~ subset(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = v9 |  ~ (set_difference(v9, v10) = v11) |  ~ disjoint(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = v9 |  ~ (singleton(v9) = v10) |  ~ in(v11, v10)) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = v9 |  ~ (set_intersection2(v9, v10) = v11) |  ~ subset(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = empty_set |  ~ (set_difference(v9, v10) = v11) |  ~ subset(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = empty_set |  ~ (set_intersection2(v9, v10) = v11) |  ~ disjoint(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (relation_field(v11) = v10) |  ~ (relation_field(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (relation_rng(v11) = v10) |  ~ (relation_rng(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (union(v11) = v10) |  ~ (union(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (cast_to_subset(v11) = v10) |  ~ (cast_to_subset(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (relation_dom(v11) = v10) |  ~ (relation_dom(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (powerset(v11) = v10) |  ~ (powerset(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (singleton(v11) = v10) |  ~ (singleton(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (set_meet(v11) = v10) |  ~ (set_meet(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (meet_of_subsets(v9, v10) = v11) |  ? [v12] :  ? [v13] :  ? [v14] : (powerset(v12) = v13 & powerset(v9) = v12 & set_meet(v10) = v14 & (v14 = v11 |  ~ element(v10, v13)))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (meet_of_subsets(v9, v10) = v11) |  ? [v12] :  ? [v13] : (powerset(v12) = v13 & powerset(v9) = v12 & ( ~ element(v10, v13) | element(v11, v12)))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (union_of_subsets(v9, v10) = v11) |  ? [v12] :  ? [v13] :  ? [v14] : (union(v10) = v14 & powerset(v12) = v13 & powerset(v9) = v12 & (v14 = v11 |  ~ element(v10, v13)))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (union_of_subsets(v9, v10) = v11) |  ? [v12] :  ? [v13] : (powerset(v12) = v13 & powerset(v9) = v12 & ( ~ element(v10, v13) | element(v11, v12)))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (complements_of_subsets(v9, v10) = v11) |  ? [v12] :  ? [v13] : (powerset(v12) = v13 & powerset(v9) = v12 & ( ~ element(v10, v13) | element(v11, v13)))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (complements_of_subsets(v9, v10) = v11) |  ? [v12] :  ? [v13] : (powerset(v12) = v13 & powerset(v9) = v12 & ( ~ element(v10, v13) | ( ! [v14] :  ! [v15] : ( ~ (subset_complement(v9, v14) = v15) |  ~ element(v14, v12) |  ~ element(v11, v13) |  ~ in(v15, v10) | in(v14, v11)) &  ! [v14] :  ! [v15] : ( ~ (subset_complement(v9, v14) = v15) |  ~ element(v14, v12) |  ~ element(v11, v13) |  ~ in(v14, v11) | in(v15, v10)) &  ! [v14] : (v14 = v11 |  ~ element(v14, v13) |  ? [v15] :  ? [v16] : (subset_complement(v9, v15) = v16 & element(v15, v12) & ( ~ in(v16, v10) |  ~ in(v15, v14)) & (in(v16, v10) | in(v15, v14)))))))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (subset_complement(v9, v10) = v11) |  ? [v12] :  ? [v13] : (set_difference(v9, v10) = v13 & powerset(v9) = v12 & (v13 = v11 |  ~ element(v10, v12)))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (subset_complement(v9, v10) = v11) |  ? [v12] : (powerset(v9) = v12 & ( ~ element(v10, v12) | element(v11, v12)))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (relation_rng(v9) = v10) |  ~ relation(v9) |  ~ in(v11, v10) |  ? [v12] :  ? [v13] : (ordered_pair(v12, v11) = v13 & in(v13, v9))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_difference(v9, v11) = v9) |  ~ (singleton(v10) = v11) |  ~ in(v10, v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_difference(v9, v10) = v11) | subset(v11, v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_difference(v9, v10) = v11) |  ? [v12] :  ? [v13] : (subset_complement(v9, v10) = v13 & powerset(v9) = v12 & (v13 = v11 |  ~ element(v10, v12)))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_difference(v9, v10) = v11) |  ? [v12] : (set_difference(v12, v10) = v11 & set_union2(v9, v10) = v12)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (union(v10) = v11) |  ~ in(v9, v10) | subset(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (union(v9) = v10) |  ~ in(v11, v10) |  ? [v12] : (in(v12, v9) & in(v11, v12))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (relation_dom(v9) = v10) |  ~ relation(v9) |  ~ in(v11, v10) |  ? [v12] :  ? [v13] : (ordered_pair(v11, v12) = v13 & in(v13, v9))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (cartesian_product2(v9, v10) = v11) |  ~ empty(v11) | empty(v10) | empty(v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (powerset(v10) = v11) |  ~ element(v9, v11) | subset(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (powerset(v10) = v11) |  ~ subset(v9, v10) | element(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (powerset(v9) = v10) |  ~ subset(v11, v9) | in(v11, v10)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (powerset(v9) = v10) |  ~ in(v11, v10) | subset(v11, v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (singleton(v9) = v11) |  ~ disjoint(v11, v10) |  ~ in(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (singleton(v9) = v11) |  ~ subset(v11, v10) | in(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (singleton(v9) = v11) |  ~ in(v9, v10) | subset(v11, v10)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v9, v10) = v11) |  ~ empty(v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v9, v10) = v11) |  ? [v12] :  ? [v13] : (singleton(v9) = v13 & unordered_pair(v12, v13) = v11 & unordered_pair(v9, v10) = v12)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_intersection2(v10, v9) = v11) | set_intersection2(v9, v10) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_intersection2(v9, v10) = v11) | set_intersection2(v10, v9) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_intersection2(v9, v10) = v11) | disjoint(v9, v10) |  ? [v12] : in(v12, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_intersection2(v9, v10) = v11) | subset(v11, v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_intersection2(v9, v10) = v11) |  ? [v12] : (set_difference(v9, v12) = v11 & set_difference(v9, v10) = v12)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_union2(v10, v9) = v11) |  ~ empty(v11) | empty(v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_union2(v10, v9) = v11) | set_union2(v9, v10) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_union2(v9, v10) = v11) |  ~ empty(v11) | empty(v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_union2(v9, v10) = v11) |  ~ relation(v10) |  ~ relation(v9) | relation(v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_union2(v9, v10) = v11) | set_union2(v10, v9) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_union2(v9, v10) = v11) | subset(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_union2(v9, v10) = v11) |  ? [v12] : (set_difference(v10, v9) = v12 & set_union2(v9, v12) = v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (unordered_pair(v10, v9) = v11) | unordered_pair(v9, v10) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (unordered_pair(v9, v10) = v11) |  ~ empty(v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (unordered_pair(v9, v10) = v11) | unordered_pair(v10, v9) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (unordered_pair(v9, v10) = v11) | in(v10, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (unordered_pair(v9, v10) = v11) | in(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ disjoint(v10, v11) |  ~ subset(v9, v10) | disjoint(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ disjoint(v9, v10) |  ~ in(v11, v10) |  ~ in(v11, v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ subset(v10, v11) |  ~ subset(v9, v10) | subset(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ subset(v9, v10) |  ~ in(v11, v9) | in(v11, v10)) &  ? [v9] :  ! [v10] :  ! [v11] : (v11 = v9 | v10 = empty_set |  ~ (set_meet(v10) = v11) |  ? [v12] :  ? [v13] : (( ~ in(v12, v9) | (in(v13, v10) &  ~ in(v12, v13))) & (in(v12, v9) |  ! [v14] : ( ~ in(v14, v10) | in(v12, v14))))) &  ? [v9] :  ! [v10] :  ! [v11] : (v11 = v9 |  ~ (relation_rng(v10) = v11) |  ~ relation(v10) |  ? [v12] :  ? [v13] :  ? [v14] : (( ~ in(v12, v9) |  ! [v15] :  ! [v16] : ( ~ (ordered_pair(v15, v12) = v16) |  ~ in(v16, v10))) & (in(v12, v9) | (ordered_pair(v13, v12) = v14 & in(v14, v10))))) &  ? [v9] :  ! [v10] :  ! [v11] : (v11 = v9 |  ~ (union(v10) = v11) |  ? [v12] :  ? [v13] : (( ~ in(v12, v9) |  ! [v14] : ( ~ in(v14, v10) |  ~ in(v12, v14))) & (in(v12, v9) | (in(v13, v10) & in(v12, v13))))) &  ? [v9] :  ! [v10] :  ! [v11] : (v11 = v9 |  ~ (relation_dom(v10) = v11) |  ~ relation(v10) |  ? [v12] :  ? [v13] :  ? [v14] : (( ~ in(v12, v9) |  ! [v15] :  ! [v16] : ( ~ (ordered_pair(v12, v15) = v16) |  ~ in(v16, v10))) & (in(v12, v9) | (ordered_pair(v12, v13) = v14 & in(v14, v10))))) &  ? [v9] :  ! [v10] :  ! [v11] : (v11 = v9 |  ~ (powerset(v10) = v11) |  ? [v12] : (( ~ subset(v12, v10) |  ~ in(v12, v9)) & (subset(v12, v10) | in(v12, v9)))) &  ? [v9] :  ! [v10] :  ! [v11] : (v11 = v9 |  ~ (singleton(v10) = v11) |  ? [v12] : (( ~ (v12 = v10) |  ~ in(v10, v9)) & (v12 = v10 | in(v12, v9)))) &  ? [v9] :  ! [v10] :  ! [v11] : (v10 = empty_set |  ~ (set_meet(v10) = v11) | in(v9, v11) |  ? [v12] : (in(v12, v10) &  ~ in(v9, v12))) &  ? [v9] :  ! [v10] :  ! [v11] : ( ~ (powerset(v10) = v11) | element(v9, v11) |  ? [v12] : (in(v12, v9) &  ~ in(v12, v10))) &  ? [v9] :  ! [v10] :  ! [v11] : ( ~ (singleton(v10) = v11) | disjoint(v11, v9) | in(v10, v9)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (set_difference(v9, empty_set) = v10)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (cast_to_subset(v9) = v10)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (set_intersection2(v9, v9) = v10)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (set_union2(v9, v9) = v10)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (set_union2(v9, empty_set) = v10)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ empty(v10) |  ~ empty(v9)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ subset(v10, v9) |  ~ subset(v9, v10)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ subset(v9, v10) | proper_subset(v9, v10)) &  ! [v9] :  ! [v10] : (v10 = empty_set |  ~ (complements_of_subsets(v9, v10) = empty_set) |  ? [v11] :  ? [v12] : (powerset(v11) = v12 & powerset(v9) = v11 &  ~ element(v10, v12))) &  ! [v9] :  ! [v10] : (v10 = empty_set |  ~ (set_difference(empty_set, v9) = v10)) &  ! [v9] :  ! [v10] : (v10 = empty_set |  ~ (set_intersection2(v9, empty_set) = v10)) &  ! [v9] :  ! [v10] : ( ~ (relation_field(v9) = v10) |  ~ relation(v9) |  ? [v11] :  ? [v12] : (relation_rng(v9) = v12 & relation_dom(v9) = v11 & set_union2(v11, v12) = v10)) &  ! [v9] :  ! [v10] : ( ~ (relation_rng(v9) = v10) |  ~ relation(v9) |  ? [v11] : (relation_dom(v9) = v11 &  ! [v12] :  ! [v13] : ( ~ (relation_rng(v12) = v13) |  ~ relation(v12) |  ~ subset(v9, v12) | subset(v10, v13)) &  ! [v12] :  ! [v13] : ( ~ (relation_rng(v12) = v13) |  ~ relation(v12) |  ~ subset(v9, v12) |  ? [v14] : (relation_dom(v12) = v14 & subset(v11, v14))) &  ! [v12] :  ! [v13] : ( ~ (relation_dom(v12) = v13) |  ~ relation(v12) |  ~ subset(v9, v12) | subset(v11, v13)) &  ! [v12] :  ! [v13] : ( ~ (relation_dom(v12) = v13) |  ~ relation(v12) |  ~ subset(v9, v12) |  ? [v14] : (relation_rng(v12) = v14 & subset(v10, v14))))) &  ! [v9] :  ! [v10] : ( ~ (set_difference(v9, v10) = v9) | disjoint(v9, v10)) &  ! [v9] :  ! [v10] : ( ~ (set_difference(v9, v10) = empty_set) | subset(v9, v10)) &  ! [v9] :  ! [v10] : ( ~ (cast_to_subset(v9) = v10) |  ? [v11] : (powerset(v9) = v11 & element(v10, v11))) &  ! [v9] :  ! [v10] : ( ~ (relation_dom(v9) = v10) |  ~ relation(v9) |  ? [v11] : (relation_rng(v9) = v11 &  ! [v12] :  ! [v13] : ( ~ (relation_rng(v12) = v13) |  ~ relation(v12) |  ~ subset(v9, v12) | subset(v11, v13)) &  ! [v12] :  ! [v13] : ( ~ (relation_rng(v12) = v13) |  ~ relation(v12) |  ~ subset(v9, v12) |  ? [v14] : (relation_dom(v12) = v14 & subset(v10, v14))) &  ! [v12] :  ! [v13] : ( ~ (relation_dom(v12) = v13) |  ~ relation(v12) |  ~ subset(v9, v12) | subset(v10, v13)) &  ! [v12] :  ! [v13] : ( ~ (relation_dom(v12) = v13) |  ~ relation(v12) |  ~ subset(v9, v12) |  ? [v14] : (relation_rng(v12) = v14 & subset(v11, v14))))) &  ! [v9] :  ! [v10] : ( ~ (powerset(v9) = v10) |  ~ empty(v10)) &  ! [v9] :  ! [v10] : ( ~ (powerset(v9) = v10) | union(v10) = v9) &  ! [v9] :  ! [v10] : ( ~ (powerset(v9) = v10) | empty(v9) |  ? [v11] : (element(v11, v10) &  ~ empty(v11))) &  ! [v9] :  ! [v10] : ( ~ (powerset(v9) = v10) |  ? [v11] : (cast_to_subset(v9) = v11 & element(v11, v10))) &  ! [v9] :  ! [v10] : ( ~ (powerset(v9) = v10) |  ? [v11] : (element(v11, v10) & empty(v11))) &  ! [v9] :  ! [v10] : ( ~ (singleton(v10) = v9) | subset(v9, v9)) &  ! [v9] :  ! [v10] : ( ~ (singleton(v9) = v10) |  ~ empty(v10)) &  ! [v9] :  ! [v10] : ( ~ (singleton(v9) = v10) | unordered_pair(v9, v9) = v10) &  ! [v9] :  ! [v10] : ( ~ (singleton(v9) = v10) | subset(empty_set, v10)) &  ! [v9] :  ! [v10] : ( ~ (singleton(v9) = v10) | in(v9, v10)) &  ! [v9] :  ! [v10] : ( ~ (set_intersection2(v9, v10) = empty_set) | disjoint(v9, v10)) &  ! [v9] :  ! [v10] : ( ~ (unordered_pair(v9, v9) = v10) | singleton(v9) = v10) &  ! [v9] :  ! [v10] : ( ~ disjoint(v9, v10) | disjoint(v10, v9)) &  ! [v9] :  ! [v10] : ( ~ element(v10, v9) |  ~ empty(v9) | empty(v10)) &  ! [v9] :  ! [v10] : ( ~ element(v10, v9) | empty(v9) | in(v10, v9)) &  ! [v9] :  ! [v10] : ( ~ element(v9, v10) | empty(v10) | in(v9, v10)) &  ! [v9] :  ! [v10] : ( ~ empty(v10) |  ~ empty(v9) | element(v10, v9)) &  ! [v9] :  ! [v10] : ( ~ empty(v10) |  ~ in(v9, v10)) &  ! [v9] :  ! [v10] : ( ~ relation(v9) |  ~ in(v10, v9) |  ? [v11] :  ? [v12] : ordered_pair(v11, v12) = v10) &  ! [v9] :  ! [v10] : ( ~ subset(v9, v10) |  ~ proper_subset(v10, v9)) &  ! [v9] :  ! [v10] : ( ~ proper_subset(v10, v9) |  ~ proper_subset(v9, v10)) &  ! [v9] :  ! [v10] : ( ~ proper_subset(v9, v10) | subset(v9, v10)) &  ! [v9] :  ! [v10] : ( ~ in(v10, v9) |  ~ in(v9, v10)) &  ! [v9] :  ! [v10] : ( ~ in(v10, v9) | element(v10, v9) | empty(v9)) &  ! [v9] :  ! [v10] : ( ~ in(v9, v10) | element(v9, v10)) &  ! [v9] : (v9 = empty_set |  ~ (set_meet(empty_set) = v9)) &  ! [v9] : (v9 = empty_set |  ~ empty(v9)) &  ! [v9] : (v9 = empty_set |  ~ subset(v9, empty_set)) &  ! [v9] :  ~ (singleton(v9) = empty_set) &  ! [v9] :  ~ proper_subset(v9, v9) &  ! [v9] :  ~ in(v9, empty_set) &  ? [v9] :  ? [v10] : (v10 = v9 |  ? [v11] : (( ~ in(v11, v10) |  ~ in(v11, v9)) & (in(v11, v10) | in(v11, v9)))) &  ? [v9] :  ? [v10] : (disjoint(v9, v10) |  ? [v11] : (in(v11, v10) & in(v11, v9))) &  ? [v9] :  ? [v10] : element(v10, v9) &  ? [v9] :  ? [v10] : (subset(v9, v10) |  ? [v11] : (in(v11, v9) &  ~ in(v11, v10))) &  ? [v9] :  ? [v10] : (in(v9, v10) &  ! [v11] :  ! [v12] : ( ~ (powerset(v11) = v12) |  ~ in(v11, v10) | in(v12, v10)) &  ! [v11] :  ! [v12] : ( ~ subset(v12, v11) |  ~ in(v11, v10) | in(v12, v10)) &  ! [v11] : ( ~ subset(v11, v10) | are_equipotent(v11, v10) | in(v11, v10))) &  ? [v9] :  ? [v10] : (in(v9, v10) &  ! [v11] :  ! [v12] : ( ~ subset(v12, v11) |  ~ in(v11, v10) | in(v12, v10)) &  ! [v11] : ( ~ subset(v11, v10) | are_equipotent(v11, v10) | in(v11, v10)) &  ! [v11] : ( ~ in(v11, v10) |  ? [v12] : (in(v12, v10) &  ! [v13] : ( ~ subset(v13, v11) | in(v13, v12))))) &  ? [v9] : (v9 = empty_set |  ? [v10] : in(v10, v9)) &  ? [v9] : (relation(v9) |  ? [v10] : (in(v10, v9) &  ! [v11] :  ! [v12] :  ~ (ordered_pair(v11, v12) = v10))) &  ? [v9] : subset(v9, v9) &  ? [v9] : subset(empty_set, v9) & ( ~ in(v2, v5) |  ~ in(v1, v5)))
% 10.49/3.01  | 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, all_0_7_7, all_0_8_8 yields:
% 10.49/3.01  | (1) relation_field(all_0_5_5) = all_0_3_3 & powerset(empty_set) = all_0_8_8 & singleton(empty_set) = all_0_8_8 & ordered_pair(all_0_7_7, all_0_6_6) = all_0_4_4 & empty(all_0_0_0) & empty(all_0_1_1) & empty(empty_set) & relation(all_0_0_0) & relation(all_0_5_5) & in(all_0_4_4, all_0_5_5) &  ~ empty(all_0_2_2) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v2, v3) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ in(v4, v5) | in(v1, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v2, v3) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ in(v4, v5) | in(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v2, v3) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ in(v1, v3) |  ~ in(v0, v2) | in(v4, v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v1, v3) = v5) |  ~ (cartesian_product2(v0, v2) = v4) |  ~ subset(v2, v3) |  ~ subset(v0, v1) | subset(v4, v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v0, v1) = v2) |  ~ (ordered_pair(v4, v5) = v3) |  ~ in(v5, v1) |  ~ in(v4, v0) | in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v0 | v2 = v0 |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (subset_difference(v4, v3, v2) = v1) |  ~ (subset_difference(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = empty_set |  ~ (subset_difference(v0, v2, v3) = v4) |  ~ (meet_of_subsets(v0, v1) = v3) |  ~ (cast_to_subset(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (union_of_subsets(v0, v7) = v8 & complements_of_subsets(v0, v1) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & (v8 = v4 |  ~ element(v1, v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = empty_set |  ~ (subset_difference(v0, v2, v3) = v4) |  ~ (union_of_subsets(v0, v1) = v3) |  ~ (cast_to_subset(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (meet_of_subsets(v0, v7) = v8 & complements_of_subsets(v0, v1) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & (v8 = v4 |  ~ element(v1, v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v0 = empty_set |  ~ (subset_complement(v0, v2) = v3) |  ~ (powerset(v0) = v1) |  ~ element(v4, v0) |  ~ element(v2, v1) | in(v4, v3) | in(v4, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (subset_complement(v0, v3) = v4) |  ~ (powerset(v0) = v2) |  ~ disjoint(v1, v3) |  ~ element(v3, v2) |  ~ element(v1, v2) | subset(v1, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (subset_complement(v0, v3) = v4) |  ~ (powerset(v0) = v2) |  ~ element(v3, v2) |  ~ element(v1, v2) |  ~ subset(v1, v4) | disjoint(v1, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) | in(v1, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) |  ? [v5] : (relation_dom(v2) = v5 & in(v0, v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v0) = v1) |  ~ (ordered_pair(v3, v2) = v4) |  ~ relation(v0) |  ~ in(v4, v0) | in(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v1, v3) = v4) |  ~ (singleton(v2) = v3) |  ~ subset(v0, v1) | subset(v0, v4) | in(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v1, v2) = v4) |  ~ (set_difference(v0, v2) = v3) |  ~ subset(v0, v1) | subset(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v1, v2) = v4) |  ~ (powerset(v0) = v3) |  ~ element(v2, v3) |  ~ element(v1, v3) | subset_difference(v0, v1, v2) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) | in(v0, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) |  ? [v5] : (relation_rng(v2) = v5 & in(v1, v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v0) |  ~ in(v4, v0) | in(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v1) = v4) |  ~ (cartesian_product2(v2, v0) = v3) |  ~ subset(v0, v1) | subset(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v1) = v4) |  ~ (cartesian_product2(v2, v0) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v1, v2) = v6 & cartesian_product2(v0, v2) = v5 & subset(v5, v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v1) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v2, v0) = v6 & cartesian_product2(v1, v2) = v5 & subset(v6, v4) & subset(v3, v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v0) = v4) |  ~ (cartesian_product2(v1, v2) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v2, v1) = v6 & cartesian_product2(v0, v2) = v5 & subset(v5, v3) & subset(v4, v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v1, v2) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ subset(v0, v1) | subset(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v1, v2) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v2, v1) = v6 & cartesian_product2(v2, v0) = v5 & subset(v5, v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (singleton(v0) = v3) |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_intersection2(v1, v2) = v4) |  ~ (set_intersection2(v0, v2) = v3) |  ~ subset(v0, v1) | subset(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 | v3 = v0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (complements_of_subsets(v0, v2) = v3) |  ~ (complements_of_subsets(v0, v1) = v2) |  ? [v4] :  ? [v5] : (powerset(v4) = v5 & powerset(v0) = v4 &  ~ element(v1, v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (subset_complement(v0, v2) = v3) |  ~ (subset_complement(v0, v1) = v2) |  ? [v4] : (powerset(v0) = v4 &  ~ element(v1, v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) |  ~ subset(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (singleton(v0) = v2) |  ~ (set_union2(v2, v1) = v3) |  ~ in(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v0, v2) = v3) |  ~ (singleton(v1) = v2) | in(v1, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (meet_of_subsets(v3, v2) = v1) |  ~ (meet_of_subsets(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (union_of_subsets(v3, v2) = v1) |  ~ (union_of_subsets(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (complements_of_subsets(v3, v2) = v1) |  ~ (complements_of_subsets(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset_complement(v3, v2) = v1) |  ~ (subset_complement(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_difference(v3, v2) = v1) |  ~ (set_difference(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (cartesian_product2(v3, v2) = v1) |  ~ (cartesian_product2(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v1) = v3) |  ~ (singleton(v0) = v2) |  ~ subset(v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ordered_pair(v3, v2) = v1) |  ~ (ordered_pair(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_intersection2(v3, v2) = v1) |  ~ (set_intersection2(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_union2(v3, v2) = v1) |  ~ (set_union2(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (unordered_pair(v3, v2) = v1) |  ~ (unordered_pair(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (meet_of_subsets(v0, v2) = v3) |  ~ (complements_of_subsets(v0, v1) = v2) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (subset_difference(v0, v6, v7) = v8 & union_of_subsets(v0, v1) = v7 & cast_to_subset(v0) = v6 & powerset(v4) = v5 & powerset(v0) = v4 & (v8 = v3 |  ~ element(v1, v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (union_of_subsets(v0, v2) = v3) |  ~ (complements_of_subsets(v0, v1) = v2) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (subset_difference(v0, v6, v7) = v8 & meet_of_subsets(v0, v1) = v7 & cast_to_subset(v0) = v6 & powerset(v4) = v5 & powerset(v0) = v4 & (v8 = v3 |  ~ element(v1, v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v0 = empty_set |  ~ (set_meet(v0) = v1) |  ~ in(v3, v0) |  ~ in(v2, v1) | in(v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_difference(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (set_difference(v1, v2) = v5 & powerset(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_difference(v0, v1, v2) = v3) |  ? [v4] : (powerset(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_complement(v0, v2) = v3) |  ~ in(v1, v3) |  ~ in(v1, v2) |  ? [v4] : (powerset(v0) = v4 &  ~ element(v2, v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v2) |  ~ (relation_dom(v0) = v1) |  ~ (cartesian_product2(v1, v2) = v3) |  ~ relation(v0) | subset(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v2) |  ~ (relation_dom(v0) = v1) |  ~ (set_union2(v1, v2) = v3) |  ~ relation(v0) | relation_field(v0) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v2, v1) = v3) |  ~ (set_union2(v0, v1) = v2) | set_difference(v0, v1) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) | set_union2(v0, v1) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v2) = v3) |  ~ (set_difference(v0, v1) = v2) | set_intersection2(v0, v1) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v1) = v2) |  ~ in(v3, v2) |  ~ in(v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v1) = v2) |  ~ in(v3, v0) | in(v3, v2) | in(v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v1) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] :  ? [v5] : (union_of_subsets(v0, v1) = v5 & powerset(v2) = v4 & (v5 = v3 |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v0) = v1) |  ~ in(v3, v0) |  ~ in(v2, v3) | in(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v1) = v2) |  ~ in(v3, v2) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v5) = v3 & in(v5, v1) & in(v4, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ element(v1, v3) |  ~ empty(v2) |  ~ in(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ element(v1, v3) |  ~ in(v0, v1) | element(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v2) |  ~ (set_meet(v1) = v3) |  ? [v4] :  ? [v5] : (meet_of_subsets(v0, v1) = v5 & powerset(v2) = v4 & (v5 = v3 |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v2) |  ~ element(v1, v2) |  ~ in(v3, v1) | in(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v1, v2) = v3) |  ~ subset(v0, v2) |  ~ subset(v0, v1) | subset(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ disjoint(v0, v1) |  ~ in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ in(v3, v1) |  ~ in(v3, v0) | in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v2) = v3) |  ~ subset(v2, v1) |  ~ subset(v0, v1) | subset(v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v1) | in(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v1) = v2) |  ~ in(v3, v1) | in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v1) = v2) |  ~ in(v3, v0) | in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_pair(v0, v1) = v3) |  ~ subset(v3, v2) | in(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_pair(v0, v1) = v3) |  ~ subset(v3, v2) | in(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_pair(v0, v1) = v3) |  ~ in(v1, v2) |  ~ in(v0, v2) | subset(v3, v2)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v1, v2) = v3) |  ? [v4] : (( ~ in(v4, v1) |  ~ in(v4, v0) | in(v4, v2)) & (in(v4, v0) | (in(v4, v1) &  ~ in(v4, v2))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (cartesian_product2(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (( ~ in(v4, v0) |  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v8, v9) = v4) |  ~ in(v9, v2) |  ~ in(v8, v1))) & (in(v4, v0) | (v7 = v4 & ordered_pair(v5, v6) = v4 & in(v6, v2) & in(v5, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_intersection2(v1, v2) = v3) |  ? [v4] : (( ~ in(v4, v2) |  ~ in(v4, v1) |  ~ in(v4, v0)) & (in(v4, v0) | (in(v4, v2) & in(v4, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_union2(v1, v2) = v3) |  ? [v4] : (( ~ in(v4, v0) | ( ~ in(v4, v2) &  ~ in(v4, v1))) & (in(v4, v2) | in(v4, v1) | in(v4, v0)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (unordered_pair(v1, v2) = v3) |  ? [v4] : ((v4 = v2 | v4 = v1 | in(v4, v0)) & ( ~ in(v4, v0) | ( ~ (v4 = v2) &  ~ (v4 = v1))))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (set_union2(v0, v1) = v2) |  ~ subset(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v0 = empty_set |  ~ (singleton(v1) = v2) |  ~ subset(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (set_difference(v0, v1) = v2) |  ~ disjoint(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v0) = v1) |  ~ in(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (set_intersection2(v0, v1) = v2) |  ~ subset(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (set_difference(v0, v1) = v2) |  ~ subset(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (set_intersection2(v0, v1) = v2) |  ~ disjoint(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_field(v2) = v1) |  ~ (relation_field(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_rng(v2) = v1) |  ~ (relation_rng(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (union(v2) = v1) |  ~ (union(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (cast_to_subset(v2) = v1) |  ~ (cast_to_subset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_dom(v2) = v1) |  ~ (relation_dom(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~ (powerset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (singleton(v2) = v1) |  ~ (singleton(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (set_meet(v2) = v1) |  ~ (set_meet(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (meet_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (powerset(v3) = v4 & powerset(v0) = v3 & set_meet(v1) = v5 & (v5 = v2 |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (meet_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | element(v2, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (union(v1) = v5 & powerset(v3) = v4 & powerset(v0) = v3 & (v5 = v2 |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | element(v2, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (complements_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | element(v2, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (complements_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | ( ! [v5] :  ! [v6] : ( ~ (subset_complement(v0, v5) = v6) |  ~ element(v5, v3) |  ~ element(v2, v4) |  ~ in(v6, v1) | in(v5, v2)) &  ! [v5] :  ! [v6] : ( ~ (subset_complement(v0, v5) = v6) |  ~ element(v5, v3) |  ~ element(v2, v4) |  ~ in(v5, v2) | in(v6, v1)) &  ! [v5] : (v5 = v2 |  ~ element(v5, v4) |  ? [v6] :  ? [v7] : (subset_complement(v0, v6) = v7 & element(v6, v3) & ( ~ in(v7, v1) |  ~ in(v6, v5)) & (in(v7, v1) | in(v6, v5)))))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset_complement(v0, v1) = v2) |  ? [v3] :  ? [v4] : (set_difference(v0, v1) = v4 & powerset(v0) = v3 & (v4 = v2 |  ~ element(v1, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset_complement(v0, v1) = v2) |  ? [v3] : (powerset(v0) = v3 & ( ~ element(v1, v3) | element(v2, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ in(v2, v1) |  ? [v3] :  ? [v4] : (ordered_pair(v3, v2) = v4 & in(v4, v0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v2) = v0) |  ~ (singleton(v1) = v2) |  ~ in(v1, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) | subset(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] : (subset_complement(v0, v1) = v4 & powerset(v0) = v3 & (v4 = v2 |  ~ element(v1, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] : (set_difference(v3, v1) = v2 & set_union2(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v1) = v2) |  ~ in(v0, v1) | subset(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v0) = v1) |  ~ in(v2, v1) |  ? [v3] : (in(v3, v0) & in(v2, v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ in(v2, v1) |  ? [v3] :  ? [v4] : (ordered_pair(v2, v3) = v4 & in(v4, v0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) |  ~ empty(v2) | empty(v1) | empty(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ element(v0, v2) | subset(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ subset(v0, v1) | element(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ subset(v2, v0) | in(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ in(v2, v1) | subset(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ disjoint(v2, v1) |  ~ in(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ subset(v2, v1) | in(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ in(v0, v1) | subset(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ~ empty(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ? [v3] :  ? [v4] : (singleton(v0) = v4 & unordered_pair(v3, v4) = v2 & unordered_pair(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | set_intersection2(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | disjoint(v0, v1) |  ? [v3] : in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | subset(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] : (set_difference(v0, v3) = v2 & set_difference(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v1, v0) = v2) |  ~ empty(v2) | empty(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v1, v0) = v2) | set_union2(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ~ empty(v2) | empty(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) | subset(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ? [v3] : (set_difference(v1, v0) = v3 & set_union2(v0, v3) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v1, v0) = v2) | unordered_pair(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) |  ~ empty(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | in(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | in(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjoint(v1, v2) |  ~ subset(v0, v1) | disjoint(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjoint(v0, v1) |  ~ in(v2, v1) |  ~ in(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subset(v1, v2) |  ~ subset(v0, v1) | subset(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subset(v0, v1) |  ~ in(v2, v0) | in(v2, v1)) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v1 = empty_set |  ~ (set_meet(v1) = v2) |  ? [v3] :  ? [v4] : (( ~ in(v3, v0) | (in(v4, v1) &  ~ in(v3, v4))) & (in(v3, v0) |  ! [v5] : ( ~ in(v5, v1) | in(v3, v5))))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_rng(v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ in(v3, v0) |  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v6, v3) = v7) |  ~ in(v7, v1))) & (in(v3, v0) | (ordered_pair(v4, v3) = v5 & in(v5, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (union(v1) = v2) |  ? [v3] :  ? [v4] : (( ~ in(v3, v0) |  ! [v5] : ( ~ in(v5, v1) |  ~ in(v3, v5))) & (in(v3, v0) | (in(v4, v1) & in(v3, v4))))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_dom(v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ in(v3, v0) |  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v3, v6) = v7) |  ~ in(v7, v1))) & (in(v3, v0) | (ordered_pair(v3, v4) = v5 & in(v5, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (powerset(v1) = v2) |  ? [v3] : (( ~ subset(v3, v1) |  ~ in(v3, v0)) & (subset(v3, v1) | in(v3, v0)))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v1) = v2) |  ? [v3] : (( ~ (v3 = v1) |  ~ in(v1, v0)) & (v3 = v1 | in(v3, v0)))) &  ? [v0] :  ! [v1] :  ! [v2] : (v1 = empty_set |  ~ (set_meet(v1) = v2) | in(v0, v2) |  ? [v3] : (in(v3, v1) &  ~ in(v0, v3))) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) | element(v0, v2) |  ? [v3] : (in(v3, v0) &  ~ in(v3, v1))) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v1) = v2) | disjoint(v2, v0) | in(v1, v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_difference(v0, empty_set) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (cast_to_subset(v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_intersection2(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, empty_set) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ empty(v1) |  ~ empty(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ subset(v1, v0) |  ~ subset(v0, v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ subset(v0, v1) | proper_subset(v0, v1)) &  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (complements_of_subsets(v0, v1) = empty_set) |  ? [v2] :  ? [v3] : (powerset(v2) = v3 & powerset(v0) = v2 &  ~ element(v1, v3))) &  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_difference(empty_set, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_intersection2(v0, empty_set) = v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ relation(v0) |  ? [v2] :  ? [v3] : (relation_rng(v0) = v3 & relation_dom(v0) = v2 & set_union2(v2, v3) = v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_dom(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) | subset(v1, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) |  ? [v5] : (relation_dom(v3) = v5 & subset(v2, v5))) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) | subset(v2, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) |  ? [v5] : (relation_rng(v3) = v5 & subset(v1, v5))))) &  ! [v0] :  ! [v1] : ( ~ (set_difference(v0, v1) = v0) | disjoint(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (set_difference(v0, v1) = empty_set) | subset(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (cast_to_subset(v0) = v1) |  ? [v2] : (powerset(v0) = v2 & element(v1, v2))) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_rng(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) | subset(v2, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) |  ? [v5] : (relation_dom(v3) = v5 & subset(v1, v5))) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) | subset(v1, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) |  ? [v5] : (relation_rng(v3) = v5 & subset(v2, v5))))) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ empty(v1)) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | union(v1) = v0) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) |  ? [v2] : (element(v2, v1) &  ~ empty(v2))) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (cast_to_subset(v0) = v2 & element(v2, v1))) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (element(v2, v1) & empty(v2))) &  ! [v0] :  ! [v1] : ( ~ (singleton(v1) = v0) | subset(v0, v0)) &  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) |  ~ empty(v1)) &  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | unordered_pair(v0, v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | subset(empty_set, v1)) &  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (set_intersection2(v0, v1) = empty_set) | disjoint(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (unordered_pair(v0, v0) = v1) | singleton(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ disjoint(v0, v1) | disjoint(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ element(v1, v0) |  ~ empty(v0) | empty(v1)) &  ! [v0] :  ! [v1] : ( ~ element(v1, v0) | empty(v0) | in(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ element(v0, v1) | empty(v1) | in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ empty(v1) |  ~ empty(v0) | element(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ empty(v1) |  ~ in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ relation(v0) |  ~ in(v1, v0) |  ? [v2] :  ? [v3] : ordered_pair(v2, v3) = v1) &  ! [v0] :  ! [v1] : ( ~ subset(v0, v1) |  ~ proper_subset(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ proper_subset(v1, v0) |  ~ proper_subset(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ proper_subset(v0, v1) | subset(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ in(v1, v0) |  ~ in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ in(v1, v0) | element(v1, v0) | empty(v0)) &  ! [v0] :  ! [v1] : ( ~ in(v0, v1) | element(v0, v1)) &  ! [v0] : (v0 = empty_set |  ~ (set_meet(empty_set) = v0)) &  ! [v0] : (v0 = empty_set |  ~ empty(v0)) &  ! [v0] : (v0 = empty_set |  ~ subset(v0, empty_set)) &  ! [v0] :  ~ (singleton(v0) = empty_set) &  ! [v0] :  ~ proper_subset(v0, v0) &  ! [v0] :  ~ in(v0, empty_set) &  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] : (( ~ in(v2, v1) |  ~ in(v2, v0)) & (in(v2, v1) | in(v2, v0)))) &  ? [v0] :  ? [v1] : (disjoint(v0, v1) |  ? [v2] : (in(v2, v1) & in(v2, v0))) &  ? [v0] :  ? [v1] : element(v1, v0) &  ? [v0] :  ? [v1] : (subset(v0, v1) |  ? [v2] : (in(v2, v0) &  ~ in(v2, v1))) &  ? [v0] :  ? [v1] : (in(v0, v1) &  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ in(v2, v1) | in(v3, v1)) &  ! [v2] :  ! [v3] : ( ~ subset(v3, v2) |  ~ in(v2, v1) | in(v3, v1)) &  ! [v2] : ( ~ subset(v2, v1) | are_equipotent(v2, v1) | in(v2, v1))) &  ? [v0] :  ? [v1] : (in(v0, v1) &  ! [v2] :  ! [v3] : ( ~ subset(v3, v2) |  ~ in(v2, v1) | in(v3, v1)) &  ! [v2] : ( ~ subset(v2, v1) | are_equipotent(v2, v1) | in(v2, v1)) &  ! [v2] : ( ~ in(v2, v1) |  ? [v3] : (in(v3, v1) &  ! [v4] : ( ~ subset(v4, v2) | in(v4, v3))))) &  ? [v0] : (v0 = empty_set |  ? [v1] : in(v1, v0)) &  ? [v0] : (relation(v0) |  ? [v1] : (in(v1, v0) &  ! [v2] :  ! [v3] :  ~ (ordered_pair(v2, v3) = v1))) &  ? [v0] : subset(v0, v0) &  ? [v0] : subset(empty_set, v0) & ( ~ in(all_0_6_6, all_0_3_3) |  ~ in(all_0_7_7, all_0_3_3))
% 10.99/3.06  |
% 10.99/3.06  | Applying alpha-rule on (1) yields:
% 10.99/3.06  | (2)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subset(v1, v2) |  ~ subset(v0, v1) | subset(v0, v2))
% 10.99/3.06  | (3)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v1, v2) = v3) |  ? [v4] : (( ~ in(v4, v1) |  ~ in(v4, v0) | in(v4, v2)) & (in(v4, v0) | (in(v4, v1) &  ~ in(v4, v2)))))
% 10.99/3.06  | (4)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v1, v3) = v5) |  ~ (cartesian_product2(v0, v2) = v4) |  ~ subset(v2, v3) |  ~ subset(v0, v1) | subset(v4, v5))
% 10.99/3.06  | (5)  ! [v0] :  ! [v1] : ( ~ in(v1, v0) |  ~ in(v0, v1))
% 10.99/3.06  | (6)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (element(v2, v1) & empty(v2)))
% 10.99/3.06  | (7)  ? [v0] :  ? [v1] : (disjoint(v0, v1) |  ? [v2] : (in(v2, v1) & in(v2, v0)))
% 10.99/3.06  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = empty_set |  ~ (subset_difference(v0, v2, v3) = v4) |  ~ (union_of_subsets(v0, v1) = v3) |  ~ (cast_to_subset(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (meet_of_subsets(v0, v7) = v8 & complements_of_subsets(v0, v1) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & (v8 = v4 |  ~ element(v1, v6))))
% 10.99/3.06  | (9)  ! [v0] :  ! [v1] : ( ~ relation(v0) |  ~ in(v1, v0) |  ? [v2] :  ? [v3] : ordered_pair(v2, v3) = v1)
% 10.99/3.06  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) |  ? [v5] : (relation_rng(v2) = v5 & in(v1, v5)))
% 10.99/3.06  | (11)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ element(v1, v3) |  ~ in(v0, v1) | element(v0, v2))
% 10.99/3.06  | (12)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ empty(v1))
% 10.99/3.06  | (13)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v1) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] :  ? [v5] : (union_of_subsets(v0, v1) = v5 & powerset(v2) = v4 & (v5 = v3 |  ~ element(v1, v4))))
% 10.99/3.06  | (14)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (set_meet(v2) = v1) |  ~ (set_meet(v2) = v0))
% 10.99/3.06  | (15)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v0 = empty_set |  ~ (set_meet(v0) = v1) |  ~ in(v3, v0) |  ~ in(v2, v1) | in(v2, v3))
% 10.99/3.06  | (16)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_complement(v0, v2) = v3) |  ~ in(v1, v3) |  ~ in(v1, v2) |  ? [v4] : (powerset(v0) = v4 &  ~ element(v2, v4)))
% 10.99/3.06  | (17)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v2) = v3) |  ~ (set_difference(v0, v1) = v2) | set_intersection2(v0, v1) = v3)
% 10.99/3.06  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v1))
% 10.99/3.06  | (19)  ! [v0] :  ~ in(v0, empty_set)
% 10.99/3.06  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (complements_of_subsets(v0, v2) = v3) |  ~ (complements_of_subsets(v0, v1) = v2) |  ? [v4] :  ? [v5] : (powerset(v4) = v5 & powerset(v0) = v4 &  ~ element(v1, v5)))
% 10.99/3.06  | (21)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjoint(v0, v1) |  ~ in(v2, v1) |  ~ in(v2, v0))
% 10.99/3.06  | (22)  ! [v0] :  ! [v1] : ( ~ proper_subset(v0, v1) | subset(v0, v1))
% 10.99/3.06  | (23)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v0) |  ~ in(v4, v0) | in(v2, v1))
% 10.99/3.06  | (24)  ! [v0] :  ! [v1] : ( ~ (unordered_pair(v0, v0) = v1) | singleton(v0) = v1)
% 10.99/3.06  | (25)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | unordered_pair(v0, v0) = v1)
% 10.99/3.06  | (26)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v0 = empty_set |  ~ (subset_complement(v0, v2) = v3) |  ~ (powerset(v0) = v1) |  ~ element(v4, v0) |  ~ element(v2, v1) | in(v4, v3) | in(v4, v2))
% 10.99/3.06  | (27)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v0))
% 10.99/3.06  | (28)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) |  ? [v2] : (element(v2, v1) &  ~ empty(v2)))
% 10.99/3.06  | (29)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v1) = v2) |  ~ in(v3, v1) | in(v3, v2))
% 10.99/3.06  | (30)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (cartesian_product2(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (( ~ in(v4, v0) |  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v8, v9) = v4) |  ~ in(v9, v2) |  ~ in(v8, v1))) & (in(v4, v0) | (v7 = v4 & ordered_pair(v5, v6) = v4 & in(v6, v2) & in(v5, v1)))))
% 10.99/3.06  | (31)  ! [v0] :  ! [v1] : ( ~ in(v0, v1) | element(v0, v1))
% 10.99/3.06  | (32)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (subset_difference(v4, v3, v2) = v1) |  ~ (subset_difference(v4, v3, v2) = v0))
% 10.99/3.06  | (33)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v0) = v1) |  ~ (ordered_pair(v3, v2) = v4) |  ~ relation(v0) |  ~ in(v4, v0) | in(v2, v1))
% 10.99/3.06  | (34)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ relation(v0) |  ? [v2] :  ? [v3] : (relation_rng(v0) = v3 & relation_dom(v0) = v2 & set_union2(v2, v3) = v1))
% 10.99/3.06  | (35)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v0) = v4) |  ~ (cartesian_product2(v1, v2) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v2, v1) = v6 & cartesian_product2(v0, v2) = v5 & subset(v5, v3) & subset(v4, v6)))
% 10.99/3.06  | (36)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjoint(v1, v2) |  ~ subset(v0, v1) | disjoint(v0, v2))
% 10.99/3.06  | (37)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset_complement(v0, v1) = v2) |  ? [v3] : (powerset(v0) = v3 & ( ~ element(v1, v3) | element(v2, v3))))
% 10.99/3.06  | (38)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (union(v2) = v1) |  ~ (union(v2) = v0))
% 10.99/3.06  | (39)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) | in(v1, v4))
% 10.99/3.06  | (40)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v2) = v3) |  ~ subset(v2, v1) |  ~ subset(v0, v1) | subset(v3, v1))
% 10.99/3.06  | (41)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (subset_complement(v0, v3) = v4) |  ~ (powerset(v0) = v2) |  ~ disjoint(v1, v3) |  ~ element(v3, v2) |  ~ element(v1, v2) | subset(v1, v4))
% 10.99/3.06  | (42)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v1) | in(v3, v0))
% 10.99/3.06  | (43)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (unordered_pair(v3, v2) = v1) |  ~ (unordered_pair(v3, v2) = v0))
% 10.99/3.07  | (44)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ subset(v0, v1) | proper_subset(v0, v1))
% 10.99/3.07  | (45) singleton(empty_set) = all_0_8_8
% 10.99/3.07  | (46)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ~ empty(v2))
% 10.99/3.07  | (47)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v0, v2) = v3) |  ~ (singleton(v1) = v2) | in(v1, v0))
% 10.99/3.07  | (48)  ! [v0] :  ! [v1] : ( ~ disjoint(v0, v1) | disjoint(v1, v0))
% 10.99/3.07  | (49)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v0))
% 10.99/3.07  | (50)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) |  ? [v5] : (relation_dom(v2) = v5 & in(v0, v5)))
% 10.99/3.07  | (51)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_difference(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (set_difference(v1, v2) = v5 & powerset(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4))))
% 10.99/3.07  | (52)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v0) = v1) |  ~ in(v3, v0) |  ~ in(v2, v3) | in(v2, v1))
% 10.99/3.07  | (53)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (complements_of_subsets(v0, v1) = empty_set) |  ? [v2] :  ? [v3] : (powerset(v2) = v3 & powerset(v0) = v2 &  ~ element(v1, v3)))
% 10.99/3.07  | (54)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) |  ~ empty(v2))
% 10.99/3.07  | (55)  ! [v0] :  ! [v1] : ( ~ proper_subset(v1, v0) |  ~ proper_subset(v0, v1))
% 10.99/3.07  | (56)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (complements_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | element(v2, v4))))
% 10.99/3.07  | (57)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_dom(v2) = v1) |  ~ (relation_dom(v2) = v0))
% 10.99/3.07  | (58)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ disjoint(v0, v1) |  ~ in(v3, v2))
% 10.99/3.07  | (59)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (set_difference(v0, v1) = v2) |  ~ subset(v0, v1))
% 10.99/3.07  | (60)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_difference(empty_set, v0) = v1))
% 10.99/3.07  | (61)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_intersection2(v0, empty_set) = v1))
% 10.99/3.07  | (62)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ in(v2, v1) | subset(v2, v0))
% 10.99/3.07  | (63)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ subset(v2, v0) | in(v2, v1))
% 10.99/3.07  | (64)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v1, v2) = v4) |  ~ (powerset(v0) = v3) |  ~ element(v2, v3) |  ~ element(v1, v3) | subset_difference(v0, v1, v2) = v4)
% 10.99/3.07  | (65) relation(all_0_5_5)
% 10.99/3.07  | (66)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_intersection2(v0, v0) = v1))
% 10.99/3.07  | (67)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_difference(v0, v1, v2) = v3) |  ? [v4] : (powerset(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4))))
% 10.99/3.07  | (68)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (complements_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | ( ! [v5] :  ! [v6] : ( ~ (subset_complement(v0, v5) = v6) |  ~ element(v5, v3) |  ~ element(v2, v4) |  ~ in(v6, v1) | in(v5, v2)) &  ! [v5] :  ! [v6] : ( ~ (subset_complement(v0, v5) = v6) |  ~ element(v5, v3) |  ~ element(v2, v4) |  ~ in(v5, v2) | in(v6, v1)) &  ! [v5] : (v5 = v2 |  ~ element(v5, v4) |  ? [v6] :  ? [v7] : (subset_complement(v0, v6) = v7 & element(v6, v3) & ( ~ in(v7, v1) |  ~ in(v6, v5)) & (in(v7, v1) | in(v6, v5))))))))
% 10.99/3.07  | (69) in(all_0_4_4, all_0_5_5)
% 10.99/3.07  | (70)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ subset(v1, v0) |  ~ subset(v0, v1))
% 10.99/3.07  | (71)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_intersection2(v1, v2) = v4) |  ~ (set_intersection2(v0, v2) = v3) |  ~ subset(v0, v1) | subset(v3, v4))
% 10.99/3.07  | (72)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3))
% 10.99/3.07  | (73)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] : (subset_complement(v0, v1) = v4 & powerset(v0) = v3 & (v4 = v2 |  ~ element(v1, v3))))
% 10.99/3.07  | (74)  ! [v0] :  ! [v1] : ( ~ element(v1, v0) |  ~ empty(v0) | empty(v1))
% 10.99/3.07  | (75)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v1, v2) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v2, v1) = v6 & cartesian_product2(v2, v0) = v5 & subset(v5, v6)))
% 10.99/3.07  | (76)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) | subset(v2, v0))
% 10.99/3.07  | (77)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | union(v1) = v0)
% 10.99/3.07  | (78)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | element(v2, v3))))
% 10.99/3.07  | (79)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v1, v0) = v2) |  ~ empty(v2) | empty(v0))
% 10.99/3.07  | (80)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (set_union2(v0, v1) = v2) |  ~ subset(v0, v1))
% 10.99/3.07  | (81)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset_complement(v3, v2) = v1) |  ~ (subset_complement(v3, v2) = v0))
% 10.99/3.07  | (82)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ in(v2, v1) |  ? [v3] :  ? [v4] : (ordered_pair(v2, v3) = v4 & in(v4, v0)))
% 10.99/3.07  | (83)  ? [v0] : subset(v0, v0)
% 10.99/3.07  | (84)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v2) |  ~ (relation_dom(v0) = v1) |  ~ (cartesian_product2(v1, v2) = v3) |  ~ relation(v0) | subset(v0, v3))
% 10.99/3.07  | (85)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (powerset(v1) = v2) |  ? [v3] : (( ~ subset(v3, v1) |  ~ in(v3, v0)) & (subset(v3, v1) | in(v3, v0))))
% 10.99/3.07  | (86)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | subset(empty_set, v1))
% 10.99/3.07  | (87)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_union2(v3, v2) = v1) |  ~ (set_union2(v3, v2) = v0))
% 10.99/3.07  | (88)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (set_intersection2(v0, v1) = v2) |  ~ disjoint(v0, v1))
% 10.99/3.07  | (89)  ! [v0] :  ! [v1] : ( ~ element(v1, v0) | empty(v0) | in(v1, v0))
% 10.99/3.07  | (90)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v1 = empty_set |  ~ (set_meet(v1) = v2) |  ? [v3] :  ? [v4] : (( ~ in(v3, v0) | (in(v4, v1) &  ~ in(v3, v4))) & (in(v3, v0) |  ! [v5] : ( ~ in(v5, v1) | in(v3, v5)))))
% 10.99/3.07  | (91)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2)
% 10.99/3.07  | (92)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v1, v0) = v2) | set_union2(v0, v1) = v2)
% 10.99/3.07  | (93)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_intersection2(v3, v2) = v1) |  ~ (set_intersection2(v3, v2) = v0))
% 10.99/3.07  | (94)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | in(v1, v2))
% 10.99/3.08  | (95)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (cast_to_subset(v0) = v1))
% 10.99/3.08  | (96)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (unordered_pair(v1, v2) = v3) |  ? [v4] : ((v4 = v2 | v4 = v1 | in(v4, v0)) & ( ~ in(v4, v0) | ( ~ (v4 = v2) &  ~ (v4 = v1)))))
% 10.99/3.08  | (97)  ! [v0] :  ~ proper_subset(v0, v0)
% 10.99/3.08  | (98)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_rng(v2) = v1) |  ~ (relation_rng(v2) = v0))
% 10.99/3.08  | (99)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v1, v2) = v3) |  ~ subset(v0, v2) |  ~ subset(v0, v1) | subset(v0, v3))
% 10.99/3.08  | (100)  ? [v0] :  ? [v1] : (in(v0, v1) &  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ in(v2, v1) | in(v3, v1)) &  ! [v2] :  ! [v3] : ( ~ subset(v3, v2) |  ~ in(v2, v1) | in(v3, v1)) &  ! [v2] : ( ~ subset(v2, v1) | are_equipotent(v2, v1) | in(v2, v1)))
% 10.99/3.08  | (101)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_pair(v0, v1) = v3) |  ~ in(v1, v2) |  ~ in(v0, v2) | subset(v3, v2))
% 10.99/3.08  | (102)  ? [v0] :  ! [v1] :  ! [v2] : (v1 = empty_set |  ~ (set_meet(v1) = v2) | in(v0, v2) |  ? [v3] : (in(v3, v1) &  ~ in(v0, v3)))
% 10.99/3.08  | (103)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subset(v0, v1) |  ~ in(v2, v0) | in(v2, v1))
% 10.99/3.08  | (104)  ! [v0] :  ! [v1] : ( ~ empty(v1) |  ~ in(v0, v1))
% 10.99/3.08  | (105)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_pair(v0, v1) = v3) |  ~ subset(v3, v2) | in(v1, v2))
% 10.99/3.08  | (106)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_dom(v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ in(v3, v0) |  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v3, v6) = v7) |  ~ in(v7, v1))) & (in(v3, v0) | (ordered_pair(v3, v4) = v5 & in(v5, v1)))))
% 10.99/3.08  | (107)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v1) = v2) |  ~ in(v3, v0) | in(v3, v2) | in(v3, v1))
% 10.99/3.08  | (108)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ in(v3, v1) |  ~ in(v3, v0) | in(v3, v2))
% 10.99/3.08  | (109)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v1, v3) = v4) |  ~ (singleton(v2) = v3) |  ~ subset(v0, v1) | subset(v0, v4) | in(v2, v0))
% 10.99/3.08  | (110)  ~ in(all_0_6_6, all_0_3_3) |  ~ in(all_0_7_7, all_0_3_3)
% 10.99/3.08  | (111)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) |  ~ empty(v2) | empty(v1) | empty(v0))
% 10.99/3.08  | (112)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (singleton(v0) = v2) |  ~ (set_union2(v2, v1) = v3) |  ~ in(v0, v1))
% 10.99/3.08  | (113)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v2) |  ~ (set_meet(v1) = v3) |  ? [v4] :  ? [v5] : (meet_of_subsets(v0, v1) = v5 & powerset(v2) = v4 & (v5 = v3 |  ~ element(v1, v4))))
% 10.99/3.08  | (114)  ? [v0] :  ? [v1] : (in(v0, v1) &  ! [v2] :  ! [v3] : ( ~ subset(v3, v2) |  ~ in(v2, v1) | in(v3, v1)) &  ! [v2] : ( ~ subset(v2, v1) | are_equipotent(v2, v1) | in(v2, v1)) &  ! [v2] : ( ~ in(v2, v1) |  ? [v3] : (in(v3, v1) &  ! [v4] : ( ~ subset(v4, v2) | in(v4, v3)))))
% 10.99/3.08  | (115)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ordered_pair(v3, v2) = v1) |  ~ (ordered_pair(v3, v2) = v0))
% 10.99/3.08  | (116)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (set_difference(v0, v1) = v2) |  ~ disjoint(v0, v1))
% 10.99/3.08  | (117)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v2, v1) = v3) |  ~ (set_union2(v0, v1) = v2) | set_difference(v0, v1) = v3)
% 10.99/3.08  | (118)  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] : (( ~ in(v2, v1) |  ~ in(v2, v0)) & (in(v2, v1) | in(v2, v0))))
% 10.99/3.08  | (119)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (set_intersection2(v0, v1) = v2) |  ~ subset(v0, v1))
% 10.99/3.08  | (120)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, v0) = v1))
% 10.99/3.08  | (121)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) | in(v0, v4))
% 10.99/3.08  | (122)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (cast_to_subset(v2) = v1) |  ~ (cast_to_subset(v2) = v0))
% 10.99/3.08  | (123)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = empty_set |  ~ (subset_difference(v0, v2, v3) = v4) |  ~ (meet_of_subsets(v0, v1) = v3) |  ~ (cast_to_subset(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (union_of_subsets(v0, v7) = v8 & complements_of_subsets(v0, v1) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & (v8 = v4 |  ~ element(v1, v6))))
% 10.99/3.08  | (124)  ! [v0] :  ! [v1] : ( ~ (set_difference(v0, v1) = empty_set) | subset(v0, v1))
% 10.99/3.08  | (125)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v1) = v2) |  ~ in(v0, v1) | subset(v0, v2))
% 10.99/3.08  | (126)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v2) |  ~ element(v1, v2) |  ~ in(v3, v1) | in(v3, v0))
% 10.99/3.08  | (127)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) | subset(v0, v2))
% 10.99/3.08  | (128)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (meet_of_subsets(v0, v2) = v3) |  ~ (complements_of_subsets(v0, v1) = v2) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (subset_difference(v0, v6, v7) = v8 & union_of_subsets(v0, v1) = v7 & cast_to_subset(v0) = v6 & powerset(v4) = v5 & powerset(v0) = v4 & (v8 = v3 |  ~ element(v1, v5))))
% 10.99/3.08  | (129)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_union2(v1, v2) = v3) |  ? [v4] : (( ~ in(v4, v0) | ( ~ in(v4, v2) &  ~ in(v4, v1))) & (in(v4, v2) | in(v4, v1) | in(v4, v0))))
% 10.99/3.08  | (130)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v2, v3) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ in(v4, v5) | in(v0, v2))
% 10.99/3.08  | (131)  ! [v0] :  ! [v1] : ( ~ (cast_to_subset(v0) = v1) |  ? [v2] : (powerset(v0) = v2 & element(v1, v2)))
% 10.99/3.08  | (132)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (cartesian_product2(v3, v2) = v1) |  ~ (cartesian_product2(v3, v2) = v0))
% 10.99/3.08  | (133)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v2, v3) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ in(v4, v5) | in(v1, v3))
% 10.99/3.08  | (134)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3))
% 10.99/3.08  | (135)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v1, v2) = v4) |  ~ (set_difference(v0, v2) = v3) |  ~ subset(v0, v1) | subset(v3, v4))
% 10.99/3.08  | (136)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v0, v1) = v2) |  ~ (ordered_pair(v4, v5) = v3) |  ~ in(v5, v1) |  ~ in(v4, v0) | in(v3, v2))
% 10.99/3.08  | (137)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_field(v2) = v1) |  ~ (relation_field(v2) = v0))
% 10.99/3.08  | (138)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_difference(v3, v2) = v1) |  ~ (set_difference(v3, v2) = v0))
% 10.99/3.08  | (139)  ? [v0] : (relation(v0) |  ? [v1] : (in(v1, v0) &  ! [v2] :  ! [v3] :  ~ (ordered_pair(v2, v3) = v1)))
% 10.99/3.08  | (140)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v2) |  ~ (relation_dom(v0) = v1) |  ~ (set_union2(v1, v2) = v3) |  ~ relation(v0) | relation_field(v0) = v3)
% 10.99/3.08  | (141)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v1) = v2) |  ? [v3] : (( ~ (v3 = v1) |  ~ in(v1, v0)) & (v3 = v1 | in(v3, v0))))
% 11.31/3.10  | (142)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ subset(v0, v1) | element(v0, v2))
% 11.31/3.10  | (143)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ element(v0, v2) | subset(v0, v1))
% 11.31/3.10  | (144)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~ (powerset(v2) = v0))
% 11.31/3.10  | (145)  ? [v0] : subset(empty_set, v0)
% 11.31/3.10  | (146)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (singleton(v0) = v3) |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4)
% 11.31/3.11  | (147)  ? [v0] : (v0 = empty_set |  ? [v1] : in(v1, v0))
% 11.31/3.11  | (148)  ? [v0] :  ? [v1] : (subset(v0, v1) |  ? [v2] : (in(v2, v0) &  ~ in(v2, v1)))
% 11.31/3.11  | (149)  ! [v0] :  ! [v1] : ( ~ empty(v1) |  ~ empty(v0) | element(v1, v0))
% 11.31/3.11  | (150)  ~ empty(all_0_2_2)
% 11.31/3.11  | (151)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ? [v3] : (set_difference(v1, v0) = v3 & set_union2(v0, v3) = v2))
% 11.31/3.11  | (152)  ! [v0] :  ! [v1] : ( ~ subset(v0, v1) |  ~ proper_subset(v1, v0))
% 11.31/3.11  | (153)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v1) = v2) |  ~ in(v3, v0) | in(v3, v2))
% 11.31/3.11  | (154)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v2) = v0) |  ~ (singleton(v1) = v2) |  ~ in(v1, v0))
% 11.31/3.11  | (155)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ empty(v1) |  ~ empty(v0))
% 11.31/3.11  | (156)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_pair(v0, v1) = v3) |  ~ subset(v3, v2) | in(v0, v2))
% 11.31/3.11  | (157)  ! [v0] :  ~ (singleton(v0) = empty_set)
% 11.31/3.11  | (158)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v1) = v4) |  ~ (cartesian_product2(v2, v0) = v3) |  ~ subset(v0, v1) | subset(v3, v4))
% 11.31/3.11  | (159)  ! [v0] :  ! [v1] : ( ~ (set_difference(v0, v1) = v0) | disjoint(v0, v1))
% 11.31/3.11  | (160)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4))
% 11.31/3.11  | (161)  ! [v0] :  ! [v1] : ( ~ element(v0, v1) | empty(v1) | in(v0, v1))
% 11.31/3.11  | (162)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ in(v2, v1) |  ? [v3] :  ? [v4] : (ordered_pair(v3, v2) = v4 & in(v4, v0)))
% 11.31/3.11  | (163) empty(all_0_1_1)
% 11.31/3.11  | (164)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_dom(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) | subset(v1, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) |  ? [v5] : (relation_dom(v3) = v5 & subset(v2, v5))) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) | subset(v2, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) |  ? [v5] : (relation_rng(v3) = v5 & subset(v1, v5)))))
% 11.31/3.11  | (165)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) | relation(v2))
% 11.31/3.11  | (166)  ! [v0] : (v0 = empty_set |  ~ (set_meet(empty_set) = v0))
% 11.31/3.11  | (167)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v1) = v2) |  ~ in(v3, v2) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v5) = v3 & in(v5, v1) & in(v4, v0)))
% 11.31/3.11  | (168)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | in(v0, v2))
% 11.31/3.11  | (169)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v1) = v4) |  ~ (cartesian_product2(v2, v0) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v1, v2) = v6 & cartesian_product2(v0, v2) = v5 & subset(v5, v6)))
% 11.31/3.11  | (170)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) |  ~ empty(v1))
% 11.31/3.11  | (171)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_intersection2(v1, v2) = v3) |  ? [v4] : (( ~ in(v4, v2) |  ~ in(v4, v1) |  ~ in(v4, v0)) & (in(v4, v0) | (in(v4, v2) & in(v4, v1)))))
% 11.31/3.11  | (172)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | disjoint(v0, v1) |  ? [v3] : in(v3, v2))
% 11.31/3.11  | (173)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v0 = empty_set |  ~ (singleton(v1) = v2) |  ~ subset(v0, v2))
% 11.31/3.11  | (174)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_difference(v0, empty_set) = v1))
% 11.31/3.11  | (175)  ? [v0] :  ? [v1] : element(v1, v0)
% 11.31/3.11  | (176)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v0) = v1) |  ~ in(v2, v1) |  ? [v3] : (in(v3, v0) & in(v2, v3)))
% 11.31/3.11  | (177)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v0) = v1) |  ~ in(v2, v1))
% 11.31/3.11  | (178)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (subset_complement(v0, v2) = v3) |  ~ (subset_complement(v0, v1) = v2) |  ? [v4] : (powerset(v0) = v4 &  ~ element(v1, v4)))
% 11.31/3.11  | (179)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ? [v3] :  ? [v4] : (singleton(v0) = v4 & unordered_pair(v3, v4) = v2 & unordered_pair(v0, v1) = v3))
% 11.31/3.11  | (180) empty(all_0_0_0)
% 11.31/3.11  | (181)  ! [v0] : (v0 = empty_set |  ~ subset(v0, empty_set))
% 11.31/3.11  | (182)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (meet_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | element(v2, v3))))
% 11.31/3.11  | (183)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (subset_complement(v0, v3) = v4) |  ~ (powerset(v0) = v2) |  ~ element(v3, v2) |  ~ element(v1, v2) |  ~ subset(v1, v4) | disjoint(v1, v3))
% 11.31/3.11  | (184)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (meet_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (powerset(v3) = v4 & powerset(v0) = v3 & set_meet(v1) = v5 & (v5 = v2 |  ~ element(v1, v4))))
% 11.31/3.11  | (185) empty(empty_set)
% 11.31/3.11  | (186)  ! [v0] : (v0 = empty_set |  ~ empty(v0))
% 11.31/3.11  | (187)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v1) = v3) |  ~ (singleton(v0) = v2) |  ~ subset(v2, v3))
% 11.31/3.11  | (188)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | in(v0, v1))
% 11.31/3.11  | (189)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, empty_set) = v1))
% 11.31/3.11  | (190)  ! [v0] :  ! [v1] : ( ~ in(v1, v0) | element(v1, v0) | empty(v0))
% 11.31/3.11  | (191) ordered_pair(all_0_7_7, all_0_6_6) = all_0_4_4
% 11.31/3.11  | (192)  ! [v0] :  ! [v1] : ( ~ (singleton(v1) = v0) | subset(v0, v0))
% 11.31/3.11  | (193)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (singleton(v2) = v1) |  ~ (singleton(v2) = v0))
% 11.31/3.11  | (194)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (union(v1) = v2) |  ? [v3] :  ? [v4] : (( ~ in(v3, v0) |  ! [v5] : ( ~ in(v5, v1) |  ~ in(v3, v5))) & (in(v3, v0) | (in(v4, v1) & in(v3, v4)))))
% 11.31/3.11  | (195)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) |  ~ subset(v0, v1))
% 11.31/3.11  | (196)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v1, v2) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ subset(v0, v1) | subset(v3, v4))
% 11.31/3.11  | (197)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ element(v1, v3) |  ~ empty(v2) |  ~ in(v0, v1))
% 11.31/3.11  | (198)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ~ empty(v2) | empty(v0))
% 11.31/3.11  | (199)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) | set_union2(v0, v1) = v3)
% 11.31/3.11  | (200)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v0 | v2 = v0 |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v4))
% 11.31/3.11  | (201)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v2, v3) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ in(v1, v3) |  ~ in(v0, v2) | in(v4, v5))
% 11.31/3.11  | (202)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v1) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v2, v0) = v6 & cartesian_product2(v1, v2) = v5 & subset(v6, v4) & subset(v3, v5)))
% 11.31/3.11  | (203)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ in(v0, v1) | subset(v2, v1))
% 11.31/3.11  | (204)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ subset(v2, v1) | in(v0, v1))
% 11.31/3.11  | (205)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4))
% 11.31/3.12  | (206)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (union_of_subsets(v3, v2) = v1) |  ~ (union_of_subsets(v3, v2) = v0))
% 11.31/3.12  | (207)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_rng(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) | subset(v2, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) |  ? [v5] : (relation_dom(v3) = v5 & subset(v1, v5))) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) | subset(v1, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ relation(v3) |  ~ subset(v0, v3) |  ? [v5] : (relation_rng(v3) = v5 & subset(v2, v5)))))
% 11.31/3.12  | (208) relation(all_0_0_0)
% 11.31/3.12  | (209)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) | element(v0, v2) |  ? [v3] : (in(v3, v0) &  ~ in(v3, v1)))
% 11.31/3.12  | (210)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2)
% 11.31/3.12  | (211)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | set_intersection2(v0, v1) = v2)
% 11.31/3.12  | (212)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (meet_of_subsets(v3, v2) = v1) |  ~ (meet_of_subsets(v3, v2) = v0))
% 11.31/3.12  | (213)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_rng(v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ in(v3, v0) |  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v6, v3) = v7) |  ~ in(v7, v1))) & (in(v3, v0) | (ordered_pair(v4, v3) = v5 & in(v5, v1)))))
% 11.31/3.12  | (214)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2)
% 11.31/3.12  | (215)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v1, v0) = v2) | unordered_pair(v0, v1) = v2)
% 11.31/3.12  | (216)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] : (set_difference(v3, v1) = v2 & set_union2(v0, v1) = v3))
% 11.31/3.12  | (217)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 | v3 = v0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ in(v3, v2))
% 11.31/3.12  | (218)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v1) = v2) |  ~ in(v3, v2) |  ~ in(v3, v1))
% 11.31/3.12  | (219)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v1) = v2) | disjoint(v2, v0) | in(v1, v0))
% 11.31/3.12  | (220)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ disjoint(v2, v1) |  ~ in(v0, v1))
% 11.31/3.12  | (221)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (cast_to_subset(v0) = v2 & element(v2, v1)))
% 11.31/3.12  | (222)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (union_of_subsets(v0, v2) = v3) |  ~ (complements_of_subsets(v0, v1) = v2) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (subset_difference(v0, v6, v7) = v8 & meet_of_subsets(v0, v1) = v7 & cast_to_subset(v0) = v6 & powerset(v4) = v5 & powerset(v0) = v4 & (v8 = v3 |  ~ element(v1, v5))))
% 11.31/3.12  | (223)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] : (set_difference(v0, v3) = v2 & set_difference(v0, v1) = v3))
% 11.31/3.12  | (224)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (complements_of_subsets(v3, v2) = v1) |  ~ (complements_of_subsets(v3, v2) = v0))
% 11.31/3.12  | (225)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset_complement(v0, v1) = v2) |  ? [v3] :  ? [v4] : (set_difference(v0, v1) = v4 & powerset(v0) = v3 & (v4 = v2 |  ~ element(v1, v3))))
% 11.31/3.12  | (226) relation_field(all_0_5_5) = all_0_3_3
% 11.31/3.12  | (227) powerset(empty_set) = all_0_8_8
% 11.31/3.12  | (228)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | subset(v2, v0))
% 11.31/3.12  | (229)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (union(v1) = v5 & powerset(v3) = v4 & powerset(v0) = v3 & (v5 = v2 |  ~ element(v1, v4))))
% 11.31/3.12  | (230)  ! [v0] :  ! [v1] : ( ~ (set_intersection2(v0, v1) = empty_set) | disjoint(v0, v1))
% 11.31/3.12  |
% 11.31/3.12  | Instantiating formula (34) with all_0_3_3, all_0_5_5 and discharging atoms relation_field(all_0_5_5) = all_0_3_3, relation(all_0_5_5), yields:
% 11.31/3.12  | (231)  ? [v0] :  ? [v1] : (relation_rng(all_0_5_5) = v1 & relation_dom(all_0_5_5) = v0 & set_union2(v0, v1) = all_0_3_3)
% 11.31/3.12  |
% 11.31/3.12  | Instantiating formula (9) with all_0_4_4, all_0_5_5 and discharging atoms relation(all_0_5_5), in(all_0_4_4, all_0_5_5), yields:
% 11.31/3.12  | (232)  ? [v0] :  ? [v1] : ordered_pair(v0, v1) = all_0_4_4
% 11.31/3.12  |
% 11.31/3.12  | Instantiating (231) with all_62_0_42, all_62_1_43 yields:
% 11.31/3.12  | (233) relation_rng(all_0_5_5) = all_62_0_42 & relation_dom(all_0_5_5) = all_62_1_43 & set_union2(all_62_1_43, all_62_0_42) = all_0_3_3
% 11.31/3.12  |
% 11.31/3.12  | Applying alpha-rule on (233) yields:
% 11.31/3.12  | (234) relation_rng(all_0_5_5) = all_62_0_42
% 11.31/3.12  | (235) relation_dom(all_0_5_5) = all_62_1_43
% 11.31/3.12  | (236) set_union2(all_62_1_43, all_62_0_42) = all_0_3_3
% 11.31/3.12  |
% 11.31/3.12  | Instantiating (232) with all_66_0_45, all_66_1_46 yields:
% 11.31/3.12  | (237) ordered_pair(all_66_1_46, all_66_0_45) = all_0_4_4
% 11.31/3.12  |
% 11.31/3.12  | Instantiating formula (160) with all_0_4_4, all_66_0_45, all_66_1_46, all_0_6_6, all_0_7_7 and discharging atoms ordered_pair(all_66_1_46, all_66_0_45) = all_0_4_4, ordered_pair(all_0_7_7, all_0_6_6) = all_0_4_4, yields:
% 11.31/3.12  | (238) all_66_0_45 = all_0_6_6
% 11.31/3.12  |
% 11.31/3.12  | Instantiating formula (205) with all_0_4_4, all_66_0_45, all_66_1_46, all_0_6_6, all_0_7_7 and discharging atoms ordered_pair(all_66_1_46, all_66_0_45) = all_0_4_4, ordered_pair(all_0_7_7, all_0_6_6) = all_0_4_4, yields:
% 11.31/3.12  | (239) all_66_1_46 = all_0_7_7
% 11.31/3.12  |
% 11.31/3.12  | From (239)(238) and (237) follows:
% 11.31/3.12  | (191) ordered_pair(all_0_7_7, all_0_6_6) = all_0_4_4
% 11.31/3.12  |
% 11.31/3.12  | Instantiating formula (50) with all_62_0_42, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7 and discharging atoms relation_rng(all_0_5_5) = all_62_0_42, ordered_pair(all_0_7_7, all_0_6_6) = all_0_4_4, relation(all_0_5_5), in(all_0_4_4, all_0_5_5), yields:
% 11.31/3.12  | (241)  ? [v0] : (relation_dom(all_0_5_5) = v0 & in(all_0_7_7, v0))
% 11.31/3.12  |
% 11.31/3.12  | Instantiating formula (164) with all_62_0_42, all_0_5_5 and discharging atoms relation_rng(all_0_5_5) = all_62_0_42, relation(all_0_5_5), yields:
% 11.31/3.12  | (242)  ? [v0] : (relation_dom(all_0_5_5) = v0 &  ! [v1] :  ! [v2] : ( ~ (relation_rng(v1) = v2) |  ~ relation(v1) |  ~ subset(all_0_5_5, v1) | subset(all_62_0_42, v2)) &  ! [v1] :  ! [v2] : ( ~ (relation_rng(v1) = v2) |  ~ relation(v1) |  ~ subset(all_0_5_5, v1) |  ? [v3] : (relation_dom(v1) = v3 & subset(v0, v3))) &  ! [v1] :  ! [v2] : ( ~ (relation_dom(v1) = v2) |  ~ relation(v1) |  ~ subset(all_0_5_5, v1) | subset(v0, v2)) &  ! [v1] :  ! [v2] : ( ~ (relation_dom(v1) = v2) |  ~ relation(v1) |  ~ subset(all_0_5_5, v1) |  ? [v3] : (relation_rng(v1) = v3 & subset(all_62_0_42, v3))))
% 11.31/3.13  |
% 11.31/3.13  | Instantiating formula (10) with all_62_1_43, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7 and discharging atoms relation_dom(all_0_5_5) = all_62_1_43, ordered_pair(all_0_7_7, all_0_6_6) = all_0_4_4, relation(all_0_5_5), in(all_0_4_4, all_0_5_5), yields:
% 11.31/3.13  | (243)  ? [v0] : (relation_rng(all_0_5_5) = v0 & in(all_0_6_6, v0))
% 11.31/3.13  |
% 11.31/3.13  | Instantiating formula (92) with all_0_3_3, all_62_1_43, all_62_0_42 and discharging atoms set_union2(all_62_1_43, all_62_0_42) = all_0_3_3, yields:
% 11.31/3.13  | (244) set_union2(all_62_0_42, all_62_1_43) = all_0_3_3
% 11.31/3.13  |
% 11.31/3.13  | Instantiating formula (127) with all_0_3_3, all_62_0_42, all_62_1_43 and discharging atoms set_union2(all_62_1_43, all_62_0_42) = all_0_3_3, yields:
% 11.31/3.13  | (245) subset(all_62_1_43, all_0_3_3)
% 11.31/3.13  |
% 11.31/3.13  | Instantiating (243) with all_87_0_50 yields:
% 11.31/3.13  | (246) relation_rng(all_0_5_5) = all_87_0_50 & in(all_0_6_6, all_87_0_50)
% 11.31/3.13  |
% 11.31/3.13  | Applying alpha-rule on (246) yields:
% 11.31/3.13  | (247) relation_rng(all_0_5_5) = all_87_0_50
% 11.31/3.13  | (248) in(all_0_6_6, all_87_0_50)
% 11.31/3.13  |
% 11.31/3.13  | Instantiating (242) with all_89_0_51 yields:
% 11.31/3.13  | (249) relation_dom(all_0_5_5) = all_89_0_51 &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ subset(all_0_5_5, v0) | subset(all_62_0_42, v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ subset(all_0_5_5, v0) |  ? [v2] : (relation_dom(v0) = v2 & subset(all_89_0_51, v2))) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ subset(all_0_5_5, v0) | subset(all_89_0_51, v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ subset(all_0_5_5, v0) |  ? [v2] : (relation_rng(v0) = v2 & subset(all_62_0_42, v2)))
% 11.31/3.13  |
% 11.31/3.13  | Applying alpha-rule on (249) yields:
% 11.31/3.13  | (250)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ subset(all_0_5_5, v0) | subset(all_89_0_51, v1))
% 11.31/3.13  | (251)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ subset(all_0_5_5, v0) | subset(all_62_0_42, v1))
% 11.31/3.13  | (252)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ subset(all_0_5_5, v0) |  ? [v2] : (relation_dom(v0) = v2 & subset(all_89_0_51, v2)))
% 11.31/3.13  | (253)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ subset(all_0_5_5, v0) |  ? [v2] : (relation_rng(v0) = v2 & subset(all_62_0_42, v2)))
% 11.31/3.13  | (254) relation_dom(all_0_5_5) = all_89_0_51
% 11.31/3.13  |
% 11.31/3.13  | Instantiating (241) with all_92_0_52 yields:
% 11.31/3.13  | (255) relation_dom(all_0_5_5) = all_92_0_52 & in(all_0_7_7, all_92_0_52)
% 11.31/3.13  |
% 11.31/3.13  | Applying alpha-rule on (255) yields:
% 11.31/3.13  | (256) relation_dom(all_0_5_5) = all_92_0_52
% 11.31/3.13  | (257) in(all_0_7_7, all_92_0_52)
% 11.31/3.13  |
% 11.31/3.13  | Instantiating formula (98) with all_0_5_5, all_87_0_50, all_62_0_42 and discharging atoms relation_rng(all_0_5_5) = all_87_0_50, relation_rng(all_0_5_5) = all_62_0_42, yields:
% 11.31/3.13  | (258) all_87_0_50 = all_62_0_42
% 11.31/3.13  |
% 11.31/3.13  | Instantiating formula (57) with all_0_5_5, all_92_0_52, all_62_1_43 and discharging atoms relation_dom(all_0_5_5) = all_92_0_52, relation_dom(all_0_5_5) = all_62_1_43, yields:
% 11.31/3.13  | (259) all_92_0_52 = all_62_1_43
% 11.31/3.13  |
% 11.31/3.13  | Instantiating formula (57) with all_0_5_5, all_89_0_51, all_92_0_52 and discharging atoms relation_dom(all_0_5_5) = all_92_0_52, relation_dom(all_0_5_5) = all_89_0_51, yields:
% 11.31/3.13  | (260) all_92_0_52 = all_89_0_51
% 11.31/3.13  |
% 11.31/3.13  | Combining equations (259,260) yields a new equation:
% 11.31/3.13  | (261) all_89_0_51 = all_62_1_43
% 11.31/3.13  |
% 11.31/3.13  | Combining equations (261,260) yields a new equation:
% 11.31/3.13  | (259) all_92_0_52 = all_62_1_43
% 11.31/3.13  |
% 11.31/3.13  | From (258) and (248) follows:
% 11.31/3.13  | (263) in(all_0_6_6, all_62_0_42)
% 11.31/3.13  |
% 11.31/3.13  | From (259) and (257) follows:
% 11.31/3.13  | (264) in(all_0_7_7, all_62_1_43)
% 11.31/3.13  |
% 11.31/3.13  | Instantiating formula (153) with all_0_6_6, all_0_3_3, all_62_1_43, all_62_0_42 and discharging atoms set_union2(all_62_0_42, all_62_1_43) = all_0_3_3, in(all_0_6_6, all_62_0_42), yields:
% 11.31/3.13  | (265) in(all_0_6_6, all_0_3_3)
% 11.31/3.13  |
% 11.31/3.13  | Instantiating formula (103) with all_0_7_7, all_0_3_3, all_62_1_43 and discharging atoms subset(all_62_1_43, all_0_3_3), in(all_0_7_7, all_62_1_43), yields:
% 11.31/3.13  | (266) in(all_0_7_7, all_0_3_3)
% 11.31/3.13  |
% 11.31/3.13  +-Applying beta-rule and splitting (110), into two cases.
% 11.31/3.13  |-Branch one:
% 11.31/3.13  | (267)  ~ in(all_0_6_6, all_0_3_3)
% 11.31/3.13  |
% 11.31/3.13  	| Using (265) and (267) yields:
% 11.31/3.13  	| (268) $false
% 11.31/3.13  	|
% 11.31/3.13  	|-The branch is then unsatisfiable
% 11.31/3.13  |-Branch two:
% 11.31/3.13  | (265) in(all_0_6_6, all_0_3_3)
% 11.31/3.13  | (270)  ~ in(all_0_7_7, all_0_3_3)
% 11.31/3.13  |
% 11.31/3.13  	| Using (266) and (270) yields:
% 11.31/3.13  	| (268) $false
% 11.31/3.13  	|
% 11.31/3.13  	|-The branch is then unsatisfiable
% 11.31/3.13  % SZS output end Proof for theBenchmark
% 11.31/3.13  
% 11.31/3.13  2557ms
%------------------------------------------------------------------------------