%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SEU257+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n016.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 08:48:13 EDT 2022

% Result   : Theorem 27.45s 7.05s
% Output   : Proof 37.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU257+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 19:11:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.59/0.62          ____       _                          
% 0.59/0.62    ___  / __ \_____(_)___  ________  __________
% 0.59/0.62   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.62  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.59/0.62  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.59/0.62  
% 0.59/0.62  A Theorem Prover for First-Order Logic
% 0.59/0.62  (ePrincess v.1.0)
% 0.59/0.62  
% 0.59/0.62  (c) Philipp Rümmer, 2009-2015
% 0.59/0.62  (c) Peter Backeman, 2014-2015
% 0.59/0.62  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.62  Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.62  Bug reports to peter@backeman.se
% 0.59/0.62  
% 0.59/0.62  For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.62  
% 0.59/0.62  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.67/0.69  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.19/1.32  Prover 0: Preprocessing ...
% 7.78/2.41  Prover 0: Warning: ignoring some quantifiers
% 8.22/2.46  Prover 0: Constructing countermodel ...
% 22.91/5.98  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 23.64/6.17  Prover 1: Preprocessing ...
% 26.54/6.80  Prover 1: Warning: ignoring some quantifiers
% 26.54/6.82  Prover 1: Constructing countermodel ...
% 27.45/7.04  Prover 1: proved (1059ms)
% 27.45/7.05  Prover 0: stopped
% 27.45/7.05  
% 27.45/7.05  No countermodel exists, formula is valid
% 27.45/7.05  % SZS status Theorem for theBenchmark
% 27.45/7.05  
% 27.45/7.05  Generating proof ... Warning: ignoring some quantifiers
% 36.02/9.06  found it (size 131)
% 36.02/9.06  
% 36.02/9.06  % SZS output start Proof for theBenchmark
% 36.02/9.07  Assumed formulas after preprocessing and simplification: 
% 36.02/9.07  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] : ( ~ (v13 = 0) &  ~ (v11 = 0) &  ~ (v8 = 0) &  ~ (v4 = 0) & relation_empty_yielding(v6) = 0 & relation_empty_yielding(v5) = 0 & relation_empty_yielding(empty_set) = 0 & relation_restriction(v2, v1) = v3 & relation_rng(empty_set) = empty_set & well_ordering(v3) = v4 & well_ordering(v2) = 0 & powerset(empty_set) = v0 & singleton(empty_set) = v0 & relation_dom(empty_set) = empty_set & one_to_one(v14) = 0 & one_to_one(v9) = 0 & one_to_one(empty_set) = 0 & relation(v19) = 0 & relation(v17) = 0 & relation(v15) = 0 & relation(v14) = 0 & relation(v12) = 0 & relation(v9) = 0 & relation(v6) = 0 & relation(v5) = 0 & relation(v2) = 0 & relation(empty_set) = 0 & epsilon_connected(v18) = 0 & epsilon_connected(v14) = 0 & epsilon_connected(v7) = 0 & epsilon_connected(empty_set) = 0 & ordinal(v18) = 0 & ordinal(v14) = 0 & ordinal(v7) = 0 & ordinal(empty_set) = 0 & epsilon_transitive(v18) = 0 & epsilon_transitive(v14) = 0 & epsilon_transitive(v7) = 0 & epsilon_transitive(empty_set) = 0 & function(v19) = 0 & function(v15) = 0 & function(v14) = 0 & function(v9) = 0 & function(v5) = 0 & function(empty_set) = 0 & empty(v17) = 0 & empty(v16) = 0 & empty(v15) = 0 & empty(v14) = 0 & empty(v12) = v13 & empty(v10) = v11 & empty(v7) = v8 & empty(empty_set) = 0 &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] :  ! [v27] :  ! [v28] : (v26 = 0 |  ~ (relation_composition(v20, v21) = v22) |  ~ (ordered_pair(v23, v27) = v28) |  ~ (ordered_pair(v23, v24) = v25) |  ~ (relation(v22) = 0) |  ~ (relation(v20) = 0) |  ~ (in(v28, v20) = 0) |  ~ (in(v25, v22) = v26) |  ? [v29] :  ? [v30] : (( ~ (v30 = 0) & ordered_pair(v27, v24) = v29 & in(v29, v21) = v30) | ( ~ (v29 = 0) & relation(v21) = v29))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] :  ! [v27] : (v27 = 0 |  ~ (is_transitive_in(v20, v21) = 0) |  ~ (ordered_pair(v22, v24) = v26) |  ~ (ordered_pair(v22, v23) = v25) |  ~ (relation(v20) = 0) |  ~ (in(v26, v20) = v27) |  ~ (in(v25, v20) = 0) |  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] : (ordered_pair(v23, v24) = v31 & in(v31, v20) = v32 & in(v24, v21) = v30 & in(v23, v21) = v29 & in(v22, v21) = v28 & ( ~ (v32 = 0) |  ~ (v30 = 0) |  ~ (v29 = 0) |  ~ (v28 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] :  ! [v27] : ( ~ (relation_composition(v25, v23) = v26) |  ~ (identity_relation(v22) = v25) |  ~ (ordered_pair(v20, v21) = v24) |  ~ (in(v24, v26) = v27) |  ? [v28] :  ? [v29] :  ? [v30] : (relation(v23) = v28 & in(v24, v23) = v30 & in(v20, v22) = v29 & ( ~ (v28 = 0) | (( ~ (v30 = 0) |  ~ (v29 = 0) | v27 = 0) & ( ~ (v27 = 0) | (v30 = 0 & v29 = 0)))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : (v26 = 0 |  ~ (relation_restriction(v22, v20) = v23) |  ~ (fiber(v23, v21) = v24) |  ~ (fiber(v22, v21) = v25) |  ~ (subset(v24, v25) = v26) |  ? [v27] : ( ~ (v27 = 0) & relation(v22) = v27)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : (v26 = 0 |  ~ (relation_rng(v22) = v25) |  ~ (relation_dom(v22) = v23) |  ~ (in(v21, v25) = v26) |  ~ (in(v20, v23) = v24) |  ? [v27] :  ? [v28] :  ? [v29] : (ordered_pair(v20, v21) = v28 & relation(v22) = v27 & in(v28, v22) = v29 & ( ~ (v29 = 0) |  ~ (v27 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : (v26 = 0 |  ~ (cartesian_product2(v22, v23) = v25) |  ~ (ordered_pair(v20, v21) = v24) |  ~ (in(v24, v25) = v26) |  ? [v27] :  ? [v28] : (in(v21, v23) = v28 & in(v20, v22) = v27 & ( ~ (v28 = 0) |  ~ (v27 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : (v26 = 0 |  ~ (cartesian_product2(v21, v23) = v25) |  ~ (cartesian_product2(v20, v22) = v24) |  ~ (subset(v24, v25) = v26) |  ? [v27] :  ? [v28] : (subset(v22, v23) = v28 & subset(v20, v21) = v27 & ( ~ (v28 = 0) |  ~ (v27 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : (v26 = 0 |  ~ (transitive(v20) = 0) |  ~ (ordered_pair(v21, v23) = v25) |  ~ (ordered_pair(v21, v22) = v24) |  ~ (in(v25, v20) = v26) |  ~ (in(v24, v20) = 0) |  ? [v27] :  ? [v28] : (( ~ (v28 = 0) & ordered_pair(v22, v23) = v27 & in(v27, v20) = v28) | ( ~ (v27 = 0) & relation(v20) = v27))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : (v24 = 0 |  ~ (relation_rng(v22) = v25) |  ~ (relation_dom(v22) = v23) |  ~ (in(v21, v25) = v26) |  ~ (in(v20, v23) = v24) |  ? [v27] :  ? [v28] :  ? [v29] : (ordered_pair(v20, v21) = v28 & relation(v22) = v27 & in(v28, v22) = v29 & ( ~ (v29 = 0) |  ~ (v27 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : (v24 = 0 |  ~ (cartesian_product2(v20, v21) = v22) |  ~ (ordered_pair(v25, v26) = v23) |  ~ (in(v23, v22) = v24) |  ? [v27] :  ? [v28] : (in(v26, v21) = v28 & in(v25, v20) = v27 & ( ~ (v28 = 0) |  ~ (v27 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : (v24 = 0 |  ~ (relation_inverse_image(v20, v21) = v22) |  ~ (ordered_pair(v23, v25) = v26) |  ~ (relation(v20) = 0) |  ~ (in(v26, v20) = 0) |  ~ (in(v23, v22) = v24) |  ? [v27] : ( ~ (v27 = 0) & in(v25, v21) = v27)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : (v24 = 0 |  ~ (relation_image(v20, v21) = v22) |  ~ (ordered_pair(v25, v23) = v26) |  ~ (relation(v20) = 0) |  ~ (in(v26, v20) = 0) |  ~ (in(v23, v22) = v24) |  ? [v27] : ( ~ (v27 = 0) & in(v25, v21) = v27)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : ( ~ (relation_rng_restriction(v20, v21) = v22) |  ~ (ordered_pair(v23, v24) = v25) |  ~ (relation(v22) = 0) |  ~ (in(v25, v21) = v26) |  ? [v27] :  ? [v28] : (( ~ (v27 = 0) & relation(v21) = v27) | (in(v25, v22) = v27 & in(v24, v20) = v28 & ( ~ (v27 = 0) | (v28 = 0 & v26 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : ( ~ (relation_dom_restriction(v20, v21) = v22) |  ~ (ordered_pair(v23, v24) = v25) |  ~ (relation(v22) = 0) |  ~ (relation(v20) = 0) |  ~ (in(v25, v20) = v26) |  ? [v27] :  ? [v28] : (in(v25, v22) = v27 & in(v23, v21) = v28 & ( ~ (v27 = 0) | (v28 = 0 & v26 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 | v23 = v22 |  ~ (is_connected_in(v20, v21) = 0) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (relation(v20) = 0) |  ~ (in(v24, v20) = v25) |  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (ordered_pair(v23, v22) = v28 & in(v28, v20) = v29 & in(v23, v21) = v27 & in(v22, v21) = v26 & ( ~ (v27 = 0) |  ~ (v26 = 0) | v29 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (subset_difference(v20, v21, v22) = v24) |  ~ (element(v24, v23) = v25) |  ~ (powerset(v20) = v23) |  ? [v26] :  ? [v27] : (element(v22, v23) = v27 & element(v21, v23) = v26 & ( ~ (v27 = 0) |  ~ (v26 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (complements_of_subsets(v20, v21) = v24) |  ~ (element(v24, v23) = v25) |  ~ (powerset(v22) = v23) |  ~ (powerset(v20) = v22) |  ? [v26] : ( ~ (v26 = 0) & element(v21, v23) = v26)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (relation_composition(v20, v22) = v23) |  ~ (relation_dom(v23) = v24) |  ~ (relation_dom(v20) = v21) |  ~ (subset(v24, v21) = v25) |  ? [v26] : (( ~ (v26 = 0) & relation(v22) = v26) | ( ~ (v26 = 0) & relation(v20) = v26))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (relation_composition(v20, v21) = v22) |  ~ (relation_rng(v22) = v23) |  ~ (relation_rng(v21) = v24) |  ~ (subset(v23, v24) = v25) |  ~ (relation(v20) = 0) |  ? [v26] : ( ~ (v26 = 0) & relation(v21) = v26)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (relation_inverse(v20) = v21) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (relation(v21) = 0) |  ~ (in(v24, v21) = v25) |  ? [v26] :  ? [v27] : (( ~ (v27 = 0) & ordered_pair(v23, v22) = v26 & in(v26, v20) = v27) | ( ~ (v26 = 0) & relation(v20) = v26))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (relation_rng(v22) = v23) |  ~ (relation_rng(v21) = v24) |  ~ (relation_rng_restriction(v20, v21) = v22) |  ~ (subset(v23, v24) = v25) |  ? [v26] : ( ~ (v26 = 0) & relation(v21) = v26)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (relation_rng(v22) = v23) |  ~ (relation_rng(v21) = v24) |  ~ (relation_dom_restriction(v21, v20) = v22) |  ~ (subset(v23, v24) = v25) |  ? [v26] : ( ~ (v26 = 0) & relation(v21) = v26)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (set_difference(v21, v23) = v24) |  ~ (singleton(v22) = v23) |  ~ (subset(v20, v24) = v25) |  ? [v26] :  ? [v27] : (subset(v20, v21) = v26 & in(v22, v20) = v27 & ( ~ (v26 = 0) | v27 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (set_difference(v21, v22) = v24) |  ~ (set_difference(v20, v22) = v23) |  ~ (subset(v23, v24) = v25) |  ? [v26] : ( ~ (v26 = 0) & subset(v20, v21) = v26)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (fiber(v20, v21) = v22) |  ~ (ordered_pair(v23, v21) = v24) |  ~ (relation(v20) = 0) |  ~ (in(v24, v20) = v25) |  ? [v26] : ( ~ (v26 = 0) & in(v23, v22) = v26)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (relation_inverse_image(v22, v21) = v24) |  ~ (relation_inverse_image(v22, v20) = v23) |  ~ (subset(v23, v24) = v25) |  ? [v26] :  ? [v27] : (subset(v20, v21) = v27 & relation(v22) = v26 & ( ~ (v27 = 0) |  ~ (v26 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (relation_field(v22) = v23) |  ~ (in(v21, v23) = v25) |  ~ (in(v20, v23) = v24) |  ? [v26] :  ? [v27] :  ? [v28] : (ordered_pair(v20, v21) = v27 & relation(v22) = v26 & in(v27, v22) = v28 & ( ~ (v28 = 0) |  ~ (v26 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (relation_rng_restriction(v20, v21) = v22) |  ~ (relation_dom(v22) = v23) |  ~ (relation_dom(v21) = v24) |  ~ (subset(v23, v24) = v25) |  ? [v26] : ( ~ (v26 = 0) & relation(v21) = v26)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (subset(v23, v24) = v25) |  ~ (set_intersection2(v21, v22) = v24) |  ~ (set_intersection2(v20, v22) = v23) |  ? [v26] : ( ~ (v26 = 0) & subset(v20, v21) = v26)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v24 = 0 |  ~ (relation_field(v22) = v23) |  ~ (in(v21, v23) = v25) |  ~ (in(v20, v23) = v24) |  ? [v26] :  ? [v27] :  ? [v28] : (ordered_pair(v20, v21) = v27 & relation(v22) = v26 & in(v27, v22) = v28 & ( ~ (v28 = 0) |  ~ (v26 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v23 = 0 |  ~ (relation_rng(v20) = v21) |  ~ (ordered_pair(v24, v22) = v25) |  ~ (in(v25, v20) = 0) |  ~ (in(v22, v21) = v23) |  ? [v26] : ( ~ (v26 = 0) & relation(v20) = v26)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v23 = 0 |  ~ (relation_dom(v20) = v21) |  ~ (ordered_pair(v22, v24) = v25) |  ~ (in(v25, v20) = 0) |  ~ (in(v22, v21) = v23) |  ? [v26] : ( ~ (v26 = 0) & relation(v20) = v26)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (relation_composition(v20, v21) = v22) |  ~ (ordered_pair(v23, v24) = v25) |  ~ (relation(v22) = 0) |  ~ (relation(v20) = 0) |  ~ (in(v25, v22) = 0) |  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : ((v30 = 0 & v28 = 0 & ordered_pair(v26, v24) = v29 & ordered_pair(v23, v26) = v27 & in(v29, v21) = 0 & in(v27, v20) = 0) | ( ~ (v26 = 0) & relation(v21) = v26))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (relation_restriction(v21, v20) = v22) |  ~ (relation_field(v22) = v23) |  ~ (relation_field(v21) = v24) |  ~ (subset(v23, v24) = v25) |  ? [v26] :  ? [v27] : (subset(v23, v20) = v27 & relation(v21) = v26 & ( ~ (v26 = 0) | (v27 = 0 & v25 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (relation_rng(v23) = v24) |  ~ (relation_rng_restriction(v21, v22) = v23) |  ~ (in(v20, v24) = v25) |  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (relation_rng(v22) = v28 & relation(v22) = v26 & in(v20, v28) = v29 & in(v20, v21) = v27 & ( ~ (v26 = 0) | (( ~ (v29 = 0) |  ~ (v27 = 0) | v25 = 0) & ( ~ (v25 = 0) | (v29 = 0 & v27 = 0)))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (cartesian_product2(v22, v23) = v25) |  ~ (ordered_pair(v20, v21) = v24) |  ~ (in(v24, v25) = 0) | (in(v21, v23) = 0 & in(v20, v22) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (cartesian_product2(v21, v22) = v24) |  ~ (cartesian_product2(v20, v22) = v23) |  ~ (subset(v23, v24) = v25) |  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (cartesian_product2(v22, v21) = v28 & cartesian_product2(v22, v20) = v27 & subset(v27, v28) = v29 & subset(v20, v21) = v26 & ( ~ (v26 = 0) | (v29 = 0 & v25 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (relation_rng_restriction(v20, v21) = v22) |  ~ (ordered_pair(v23, v24) = v25) |  ~ (relation(v22) = 0) |  ~ (in(v25, v21) = 0) |  ? [v26] :  ? [v27] : (( ~ (v26 = 0) & relation(v21) = v26) | (in(v25, v22) = v27 & in(v24, v20) = v26 & ( ~ (v26 = 0) | v27 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (relation_dom(v23) = v24) |  ~ (relation_dom_restriction(v22, v21) = v23) |  ~ (in(v20, v24) = v25) |  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (relation_dom(v22) = v28 & relation(v22) = v26 & in(v20, v28) = v29 & in(v20, v21) = v27 & ( ~ (v26 = 0) | (( ~ (v29 = 0) |  ~ (v27 = 0) | v25 = 0) & ( ~ (v25 = 0) | (v29 = 0 & v27 = 0)))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (relation_dom(v23) = v24) |  ~ (relation_dom_restriction(v22, v20) = v23) |  ~ (in(v21, v24) = v25) |  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : (relation_dom(v22) = v28 & relation(v22) = v26 & function(v22) = v27 & in(v21, v28) = v29 & in(v21, v20) = v30 & ( ~ (v27 = 0) |  ~ (v26 = 0) | (( ~ (v30 = 0) |  ~ (v29 = 0) | v25 = 0) & ( ~ (v25 = 0) | (v30 = 0 & v29 = 0)))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (relation_dom_restriction(v20, v21) = v22) |  ~ (ordered_pair(v23, v24) = v25) |  ~ (relation(v22) = 0) |  ~ (relation(v20) = 0) |  ~ (in(v25, v20) = 0) |  ? [v26] :  ? [v27] : (in(v25, v22) = v27 & in(v23, v21) = v26 & ( ~ (v26 = 0) | v27 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = v22 | v24 = v21 | v24 = v20 |  ~ (unordered_triple(v20, v21, v22) = v23) |  ~ (in(v24, v23) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 | v20 = empty_set |  ~ (set_meet(v20) = v21) |  ~ (in(v22, v23) = v24) |  ~ (in(v22, v21) = 0) |  ? [v25] : ( ~ (v25 = 0) & in(v23, v20) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (meet_of_subsets(v20, v21) = v23) |  ~ (element(v23, v22) = v24) |  ~ (powerset(v20) = v22) |  ? [v25] :  ? [v26] : ( ~ (v26 = 0) & element(v21, v25) = v26 & powerset(v22) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (union_of_subsets(v20, v21) = v23) |  ~ (element(v23, v22) = v24) |  ~ (powerset(v20) = v22) |  ? [v25] :  ? [v26] : ( ~ (v26 = 0) & element(v21, v25) = v26 & powerset(v22) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (subset_complement(v20, v21) = v23) |  ~ (element(v23, v22) = v24) |  ~ (powerset(v20) = v22) |  ? [v25] : ( ~ (v25 = 0) & element(v21, v22) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_rng(v22) = v23) |  ~ (relation_rng_restriction(v20, v21) = v22) |  ~ (subset(v23, v20) = v24) |  ? [v25] : ( ~ (v25 = 0) & relation(v21) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_rng(v21) = v23) |  ~ (relation_image(v21, v20) = v22) |  ~ (subset(v22, v23) = v24) |  ? [v25] : ( ~ (v25 = 0) & relation(v21) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_rng(v20) = v22) |  ~ (cartesian_product2(v21, v22) = v23) |  ~ (relation_dom(v20) = v21) |  ~ (subset(v20, v23) = v24) |  ? [v25] : ( ~ (v25 = 0) & relation(v20) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (element(v21, v23) = 0) |  ~ (element(v20, v22) = v24) |  ~ (powerset(v22) = v23) |  ? [v25] : ( ~ (v25 = 0) & in(v20, v21) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (element(v21, v22) = 0) |  ~ (powerset(v20) = v22) |  ~ (in(v23, v20) = v24) |  ? [v25] : ( ~ (v25 = 0) & in(v23, v21) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (is_reflexive_in(v20, v21) = 0) |  ~ (ordered_pair(v22, v22) = v23) |  ~ (relation(v20) = 0) |  ~ (in(v23, v20) = v24) |  ? [v25] : ( ~ (v25 = 0) & in(v22, v21) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (unordered_triple(v20, v21, v22) = v23) |  ~ (in(v22, v23) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (unordered_triple(v20, v21, v22) = v23) |  ~ (in(v21, v23) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (unordered_triple(v20, v21, v22) = v23) |  ~ (in(v20, v23) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_inverse_image(v21, v22) = v23) |  ~ (relation_image(v21, v20) = v22) |  ~ (subset(v20, v23) = v24) |  ? [v25] :  ? [v26] :  ? [v27] : (relation_dom(v21) = v26 & subset(v20, v26) = v27 & relation(v21) = v25 & ( ~ (v27 = 0) |  ~ (v25 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_inverse_image(v21, v20) = v22) |  ~ (relation_dom(v21) = v23) |  ~ (subset(v22, v23) = v24) |  ? [v25] : ( ~ (v25 = 0) & relation(v21) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_inverse_image(v21, v20) = v22) |  ~ (relation_image(v21, v22) = v23) |  ~ (subset(v23, v20) = v24) |  ? [v25] :  ? [v26] : (relation(v21) = v25 & function(v21) = v26 & ( ~ (v26 = 0) |  ~ (v25 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (subset(v23, v22) = v24) |  ~ (unordered_pair(v20, v21) = v23) |  ? [v25] :  ? [v26] : (in(v21, v22) = v26 & in(v20, v22) = v25 & ( ~ (v26 = 0) |  ~ (v25 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (subset(v23, v21) = v24) |  ~ (set_union2(v20, v22) = v23) |  ? [v25] :  ? [v26] : (subset(v22, v21) = v26 & subset(v20, v21) = v25 & ( ~ (v26 = 0) |  ~ (v25 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (subset(v20, v23) = v24) |  ~ (set_intersection2(v21, v22) = v23) |  ? [v25] :  ? [v26] : (subset(v20, v22) = v26 & subset(v20, v21) = v25 & ( ~ (v26 = 0) |  ~ (v25 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (identity_relation(v20) = v21) |  ~ (ordered_pair(v22, v22) = v23) |  ~ (relation(v21) = 0) |  ~ (in(v23, v21) = v24) |  ? [v25] : ( ~ (v25 = 0) & in(v22, v20) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (set_union2(v20, v21) = v22) |  ~ (in(v23, v20) = v24) |  ? [v25] :  ? [v26] : (in(v23, v22) = v25 & in(v23, v21) = v26 & ( ~ (v25 = 0) | v26 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v23 = v22 |  ~ (is_antisymmetric_in(v20, v21) = 0) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (relation(v20) = 0) |  ~ (in(v24, v20) = 0) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (ordered_pair(v23, v22) = v27 & in(v27, v20) = v28 & in(v23, v21) = v26 & in(v22, v21) = v25 & ( ~ (v28 = 0) |  ~ (v26 = 0) |  ~ (v25 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v23 = v22 |  ~ (identity_relation(v20) = v21) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (relation(v21) = 0) |  ~ (in(v24, v21) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v23 = v21 |  ~ (fiber(v20, v21) = v22) |  ~ (ordered_pair(v23, v21) = v24) |  ~ (relation(v20) = 0) |  ~ (in(v24, v20) = 0) | in(v23, v22) = 0) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v23 = v21 |  ~ (ordered_pair(v22, v23) = v24) |  ~ (ordered_pair(v20, v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v23 = v20 | v22 = v20 |  ~ (unordered_pair(v22, v23) = v24) |  ~ (unordered_pair(v20, v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v23 = 0 |  ~ (union(v20) = v21) |  ~ (in(v22, v24) = 0) |  ~ (in(v22, v21) = v23) |  ? [v25] : ( ~ (v25 = 0) & in(v24, v20) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v22 = v20 |  ~ (ordered_pair(v22, v23) = v24) |  ~ (ordered_pair(v20, v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v21 = v20 |  ~ (subset_difference(v24, v23, v22) = v21) |  ~ (subset_difference(v24, v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v21 = v20 |  ~ (unordered_triple(v24, v23, v22) = v21) |  ~ (unordered_triple(v24, v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v21 = empty_set |  ~ (subset_difference(v20, v22, v23) = v24) |  ~ (meet_of_subsets(v20, v21) = v23) |  ~ (cast_to_subset(v20) = v22) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (union_of_subsets(v20, v28) = v29 & complements_of_subsets(v20, v21) = v28 & element(v21, v26) = v27 & powerset(v25) = v26 & powerset(v20) = v25 & ( ~ (v27 = 0) | v29 = v24))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v21 = empty_set |  ~ (subset_difference(v20, v22, v23) = v24) |  ~ (union_of_subsets(v20, v21) = v23) |  ~ (cast_to_subset(v20) = v22) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (meet_of_subsets(v20, v28) = v29 & complements_of_subsets(v20, v21) = v28 & element(v21, v26) = v27 & powerset(v25) = v26 & powerset(v20) = v25 & ( ~ (v27 = 0) | v29 = v24))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (function_inverse(v21) = v22) |  ~ (relation_composition(v22, v21) = v23) |  ~ (apply(v23, v20) = v24) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] : (relation_rng(v21) = v28 & apply(v22, v20) = v30 & apply(v21, v30) = v31 & one_to_one(v21) = v27 & relation(v21) = v25 & function(v21) = v26 & in(v20, v28) = v29 & ( ~ (v29 = 0) |  ~ (v27 = 0) |  ~ (v26 = 0) |  ~ (v25 = 0) | (v31 = v20 & v24 = v20)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_composition(v22, v21) = v23) |  ~ (relation_dom(v23) = v24) |  ~ (function(v21) = 0) |  ~ (in(v20, v24) = 0) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (( ~ (v25 = 0) & relation(v21) = v25) | (apply(v23, v20) = v27 & apply(v22, v20) = v28 & apply(v21, v28) = v29 & relation(v22) = v25 & function(v22) = v26 & ( ~ (v26 = 0) |  ~ (v25 = 0) | v29 = v27)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_inverse(v20) = v21) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (relation(v21) = 0) |  ~ (in(v24, v21) = 0) |  ? [v25] :  ? [v26] : ((v26 = 0 & ordered_pair(v23, v22) = v25 & in(v25, v20) = 0) | ( ~ (v25 = 0) & relation(v20) = v25))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_restriction(v22, v21) = v23) |  ~ (relation_field(v23) = v24) |  ~ (in(v20, v24) = 0) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (relation_field(v22) = v26 & relation(v22) = v25 & in(v20, v26) = v27 & in(v20, v21) = v28 & ( ~ (v25 = 0) | (v28 = 0 & v27 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_restriction(v22, v21) = v23) |  ~ (in(v20, v23) = v24) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (cartesian_product2(v21, v21) = v27 & relation(v22) = v25 & in(v20, v27) = v28 & in(v20, v22) = v26 & ( ~ (v25 = 0) | (( ~ (v28 = 0) |  ~ (v26 = 0) | v24 = 0) & ( ~ (v24 = 0) | (v28 = 0 & v26 = 0)))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (set_difference(v20, v21) = v22) |  ~ (in(v23, v20) = v24) |  ? [v25] :  ? [v26] : (in(v23, v22) = v25 & in(v23, v21) = v26 & ( ~ (v25 = 0) | (v24 = 0 &  ~ (v26 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (fiber(v20, v21) = v22) |  ~ (ordered_pair(v21, v21) = v23) |  ~ (relation(v20) = 0) |  ~ (in(v23, v20) = v24) |  ? [v25] : ( ~ (v25 = 0) & in(v21, v22) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (singleton(v20) = v23) |  ~ (unordered_pair(v22, v23) = v24) |  ~ (unordered_pair(v20, v21) = v22) | ordered_pair(v20, v21) = v24) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_inverse_image(v22, v21) = v23) |  ~ (in(v20, v23) = v24) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] : (relation_rng(v22) = v26 & relation(v22) = v25 & ( ~ (v25 = 0) | (( ~ (v24 = 0) | (v31 = 0 & v30 = 0 & v28 = 0 & ordered_pair(v20, v27) = v29 & in(v29, v22) = 0 & in(v27, v26) = 0 & in(v27, v21) = 0)) & (v24 = 0 |  ! [v32] : ( ~ (in(v32, v26) = 0) |  ? [v33] :  ? [v34] :  ? [v35] : (ordered_pair(v20, v32) = v33 & in(v33, v22) = v34 & in(v32, v21) = v35 & ( ~ (v35 = 0) |  ~ (v34 = 0))))))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_rng_restriction(v20, v23) = v24) |  ~ (relation_dom_restriction(v22, v21) = v23) |  ? [v25] :  ? [v26] :  ? [v27] : (relation_rng_restriction(v20, v22) = v26 & relation_dom_restriction(v26, v21) = v27 & relation(v22) = v25 & ( ~ (v25 = 0) | v27 = v24))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_dom(v23) = v24) |  ~ (relation_dom_restriction(v22, v20) = v23) |  ~ (in(v21, v24) = 0) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (apply(v23, v21) = v27 & apply(v22, v21) = v28 & relation(v22) = v25 & function(v22) = v26 & ( ~ (v26 = 0) |  ~ (v25 = 0) | v28 = v27))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_dom(v21) = v22) |  ~ (relation_image(v21, v23) = v24) |  ~ (set_intersection2(v22, v20) = v23) |  ? [v25] :  ? [v26] : (relation_image(v21, v20) = v26 & relation(v21) = v25 & ( ~ (v25 = 0) | v26 = v24))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_image(v22, v21) = v23) |  ~ (in(v20, v23) = v24) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] : (relation_dom(v22) = v26 & relation(v22) = v25 & ( ~ (v25 = 0) | (( ~ (v24 = 0) | (v31 = 0 & v30 = 0 & v28 = 0 & ordered_pair(v27, v20) = v29 & in(v29, v22) = 0 & in(v27, v26) = 0 & in(v27, v21) = 0)) & (v24 = 0 |  ! [v32] : ( ~ (in(v32, v26) = 0) |  ? [v33] :  ? [v34] :  ? [v35] : (ordered_pair(v32, v20) = v33 & in(v33, v22) = v34 & in(v32, v21) = v35 & ( ~ (v35 = 0) |  ~ (v34 = 0))))))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (apply(v23, v21) = v24) |  ~ (relation_dom_restriction(v22, v20) = v23) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (apply(v22, v21) = v28 & relation(v22) = v25 & function(v22) = v26 & in(v21, v20) = v27 & ( ~ (v27 = 0) |  ~ (v26 = 0) |  ~ (v25 = 0) | v28 = v24))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (subset(v20, v21) = 0) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (relation(v20) = 0) |  ~ (in(v24, v20) = 0) |  ? [v25] : ((v25 = 0 & in(v24, v21) = 0) | ( ~ (v25 = 0) & relation(v21) = v25))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (identity_relation(v20) = v21) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (relation(v21) = 0) |  ~ (in(v24, v21) = 0) | in(v22, v20) = 0) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (ordered_pair(v20, v21) = v23) |  ~ (in(v23, v22) = v24) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (relation_dom(v22) = v27 & apply(v22, v20) = v29 & relation(v22) = v25 & function(v22) = v26 & in(v20, v27) = v28 & ( ~ (v26 = 0) |  ~ (v25 = 0) | (( ~ (v29 = v21) |  ~ (v28 = 0) | v24 = 0) & ( ~ (v24 = 0) | (v29 = v21 & v28 = 0)))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (set_intersection2(v20, v21) = v22) |  ~ (in(v23, v20) = v24) |  ? [v25] :  ? [v26] : (in(v23, v22) = v25 & in(v23, v21) = v26 & ( ~ (v25 = 0) | (v26 = 0 & v24 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (set_union2(v20, v21) = v22) |  ~ (in(v23, v20) = v24) |  ? [v25] :  ? [v26] : (in(v23, v22) = v26 & in(v23, v21) = v25 & (v26 = 0 | ( ~ (v25 = 0) &  ~ (v24 = 0))))) &  ? [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = v20 |  ~ (unordered_triple(v21, v22, v23) = v24) |  ? [v25] :  ? [v26] : (in(v25, v20) = v26 & ( ~ (v26 = 0) | ( ~ (v25 = v23) &  ~ (v25 = v22) &  ~ (v25 = v21))) & (v26 = 0 | v25 = v23 | v25 = v22 | v25 = v21))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v22 |  ~ (relation_composition(v20, v21) = v22) |  ~ (relation(v23) = 0) |  ~ (relation(v20) = 0) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] : (( ~ (v24 = 0) & relation(v21) = v24) | (ordered_pair(v24, v25) = v26 & in(v26, v23) = v27 & ( ~ (v27 = 0) |  ! [v33] :  ! [v34] : ( ~ (ordered_pair(v24, v33) = v34) |  ~ (in(v34, v20) = 0) |  ? [v35] :  ? [v36] : ( ~ (v36 = 0) & ordered_pair(v33, v25) = v35 & in(v35, v21) = v36))) & (v27 = 0 | (v32 = 0 & v30 = 0 & ordered_pair(v28, v25) = v31 & ordered_pair(v24, v28) = v29 & in(v31, v21) = 0 & in(v29, v20) = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v22 |  ~ (relation_rng_restriction(v20, v21) = v22) |  ~ (relation(v23) = 0) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (( ~ (v24 = 0) & relation(v21) = v24) | (ordered_pair(v24, v25) = v26 & in(v26, v23) = v27 & in(v26, v21) = v29 & in(v25, v20) = v28 & ( ~ (v29 = 0) |  ~ (v28 = 0) |  ~ (v27 = 0)) & (v27 = 0 | (v29 = 0 & v28 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v22 |  ~ (relation_dom_restriction(v20, v21) = v23) |  ~ (relation(v22) = 0) |  ~ (relation(v20) = 0) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (ordered_pair(v24, v25) = v26 & in(v26, v22) = v27 & in(v26, v20) = v29 & in(v24, v21) = v28 & ( ~ (v29 = 0) |  ~ (v28 = 0) |  ~ (v27 = 0)) & (v27 = 0 | (v29 = 0 & v28 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v21 | v23 = v20 |  ~ (unordered_pair(v20, v21) = v22) |  ~ (in(v23, v22) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v21 |  ~ (subset_complement(v20, v22) = v23) |  ~ (subset_complement(v20, v21) = v22) |  ? [v24] :  ? [v25] : ( ~ (v25 = 0) & element(v21, v24) = v25 & powerset(v20) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v21 |  ~ (set_difference(v21, v20) = v22) |  ~ (set_union2(v20, v22) = v23) |  ? [v24] : ( ~ (v24 = 0) & subset(v20, v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v21 |  ~ (singleton(v20) = v22) |  ~ (set_union2(v22, v21) = v23) |  ? [v24] : ( ~ (v24 = 0) & in(v20, v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v21 |  ~ (apply(v22, v21) = v23) |  ~ (identity_relation(v20) = v22) |  ? [v24] : ( ~ (v24 = 0) & in(v21, v20) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v20 |  ~ (set_difference(v20, v22) = v23) |  ~ (singleton(v21) = v22) | in(v21, v20) = 0) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v20 |  ~ (relation_inverse_image(v21, v20) = v22) |  ~ (relation_image(v21, v22) = v23) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (relation_rng(v21) = v26 & subset(v20, v26) = v27 & relation(v21) = v24 & function(v21) = v25 & ( ~ (v27 = 0) |  ~ (v25 = 0) |  ~ (v24 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 | v20 = empty_set |  ~ (set_meet(v20) = v21) |  ~ (in(v22, v21) = v23) |  ? [v24] :  ? [v25] : ( ~ (v25 = 0) & in(v24, v20) = 0 & in(v22, v24) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (being_limit_ordinal(v20) = 0) |  ~ (succ(v21) = v22) |  ~ (in(v22, v20) = v23) |  ? [v24] :  ? [v25] : (( ~ (v24 = 0) & ordinal(v20) = v24) | (ordinal(v21) = v24 & in(v21, v20) = v25 & ( ~ (v25 = 0) |  ~ (v24 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (set_difference(v20, v21) = v22) |  ~ (subset(v22, v20) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (union(v21) = v22) |  ~ (subset(v20, v22) = v23) |  ? [v24] : ( ~ (v24 = 0) & in(v20, v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (cast_to_subset(v20) = v21) |  ~ (element(v21, v22) = v23) |  ~ (powerset(v20) = v22)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (disjoint(v22, v21) = v23) |  ~ (singleton(v20) = v22) | in(v20, v21) = 0) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (disjoint(v21, v22) = 0) |  ~ (disjoint(v20, v22) = v23) |  ? [v24] : ( ~ (v24 = 0) & subset(v20, v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (element(v20, v22) = v23) |  ~ (powerset(v21) = v22) |  ? [v24] :  ? [v25] : ( ~ (v25 = 0) & in(v24, v21) = v25 & in(v24, v20) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (element(v20, v22) = v23) |  ~ (powerset(v21) = v22) |  ? [v24] : ( ~ (v24 = 0) & subset(v20, v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (powerset(v20) = v21) |  ~ (subset(v22, v20) = v23) |  ? [v24] : ( ~ (v24 = 0) & in(v22, v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (singleton(v20) = v22) |  ~ (subset(v22, v21) = v23) |  ? [v24] : ( ~ (v24 = 0) & in(v20, v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (relation_rng_restriction(v20, v21) = v22) |  ~ (subset(v22, v21) = v23) |  ? [v24] : ( ~ (v24 = 0) & relation(v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (relation_dom_restriction(v21, v20) = v22) |  ~ (subset(v22, v21) = v23) |  ? [v24] : ( ~ (v24 = 0) & relation(v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (subset(v22, v20) = v23) |  ~ (set_intersection2(v20, v21) = v22)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (subset(v20, v22) = v23) |  ~ (subset(v20, v21) = 0) |  ? [v24] : ( ~ (v24 = 0) & subset(v21, v22) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (subset(v20, v22) = v23) |  ~ (set_union2(v20, v21) = v22)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (unordered_pair(v20, v21) = v22) |  ~ (in(v21, v22) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (unordered_pair(v20, v21) = v22) |  ~ (in(v20, v22) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v22 = v21 |  ~ (singleton(v20) = v23) |  ~ (unordered_pair(v21, v22) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v22 = v21 |  ~ (antisymmetric(v20) = 0) |  ~ (ordered_pair(v21, v22) = v23) |  ~ (in(v23, v20) = 0) |  ? [v24] :  ? [v25] : (( ~ (v25 = 0) & ordered_pair(v22, v21) = v24 & in(v24, v20) = v25) | ( ~ (v24 = 0) & relation(v20) = v24))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (are_equipotent(v23, v22) = v21) |  ~ (are_equipotent(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (meet_of_subsets(v23, v22) = v21) |  ~ (meet_of_subsets(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (union_of_subsets(v23, v22) = v21) |  ~ (union_of_subsets(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (complements_of_subsets(v23, v22) = v21) |  ~ (complements_of_subsets(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (relation_composition(v23, v22) = v21) |  ~ (relation_composition(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (relation_restriction(v23, v22) = v21) |  ~ (relation_restriction(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (well_orders(v23, v22) = v21) |  ~ (well_orders(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (subset_complement(v23, v22) = v21) |  ~ (subset_complement(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (set_difference(v23, v22) = v21) |  ~ (set_difference(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (is_well_founded_in(v23, v22) = v21) |  ~ (is_well_founded_in(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (cartesian_product2(v23, v22) = v21) |  ~ (cartesian_product2(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (disjoint(v23, v22) = v21) |  ~ (disjoint(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (element(v23, v22) = v21) |  ~ (element(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (fiber(v23, v22) = v21) |  ~ (fiber(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (is_reflexive_in(v23, v22) = v21) |  ~ (is_reflexive_in(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (singleton(v21) = v23) |  ~ (singleton(v20) = v22) |  ~ (subset(v22, v23) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (singleton(v20) = v23) |  ~ (unordered_pair(v21, v22) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (is_transitive_in(v23, v22) = v21) |  ~ (is_transitive_in(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (is_connected_in(v23, v22) = v21) |  ~ (is_connected_in(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (relation_inverse_image(v23, v22) = v21) |  ~ (relation_inverse_image(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (is_antisymmetric_in(v23, v22) = v21) |  ~ (is_antisymmetric_in(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (relation_rng_restriction(v23, v22) = v21) |  ~ (relation_rng_restriction(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (relation_image(v23, v22) = v21) |  ~ (relation_image(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (apply(v23, v22) = v21) |  ~ (apply(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (relation_dom_restriction(v23, v22) = v21) |  ~ (relation_dom_restriction(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (subset(v23, v22) = v21) |  ~ (subset(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (ordered_pair(v23, v22) = v21) |  ~ (ordered_pair(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (ordinal_subset(v23, v22) = v21) |  ~ (ordinal_subset(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (set_intersection2(v23, v22) = v21) |  ~ (set_intersection2(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (set_union2(v23, v22) = v21) |  ~ (set_union2(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (unordered_pair(v23, v22) = v21) |  ~ (unordered_pair(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (proper_subset(v23, v22) = v21) |  ~ (proper_subset(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (in(v23, v22) = v21) |  ~ (in(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = empty_set |  ~ (element(v21, v23) = 0) |  ~ (powerset(v22) = v23) |  ~ (powerset(v20) = v22) |  ? [v24] : ( ~ (v24 = empty_set) & complements_of_subsets(v20, v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_composition(v22, v21) = v23) |  ~ (identity_relation(v20) = v22) |  ? [v24] :  ? [v25] : (relation_dom_restriction(v21, v20) = v25 & relation(v21) = v24 & ( ~ (v24 = 0) | v25 = v23))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_rng(v21) = v22) |  ~ (set_intersection2(v22, v20) = v23) |  ? [v24] :  ? [v25] :  ? [v26] : (relation_rng(v25) = v26 & relation_rng_restriction(v20, v21) = v25 & relation(v21) = v24 & ( ~ (v24 = 0) | v26 = v23))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_rng(v20) = v22) |  ~ (relation_dom(v20) = v21) |  ~ (set_union2(v21, v22) = v23) |  ? [v24] :  ? [v25] : (relation_field(v20) = v25 & relation(v20) = v24 & ( ~ (v24 = 0) | v25 = v23))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_rng(v20) = v21) |  ~ (relation_image(v22, v21) = v23) |  ? [v24] :  ? [v25] :  ? [v26] : (( ~ (v24 = 0) & relation(v20) = v24) | (relation_composition(v20, v22) = v25 & relation_rng(v25) = v26 & relation(v22) = v24 & ( ~ (v24 = 0) | v26 = v23)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (set_difference(v22, v21) = v23) |  ~ (set_union2(v20, v21) = v22) | set_difference(v20, v21) = v23) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (set_difference(v21, v20) = v22) |  ~ (set_union2(v20, v22) = v23) | set_union2(v20, v21) = v23) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (set_difference(v20, v22) = v23) |  ~ (set_difference(v20, v21) = v22) | set_intersection2(v20, v21) = v23) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (set_difference(v20, v21) = v22) |  ~ (in(v23, v20) = 0) |  ? [v24] :  ? [v25] : (in(v23, v22) = v25 & in(v23, v21) = v24 & (v25 = 0 | v24 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (cartesian_product2(v21, v21) = v22) |  ~ (set_intersection2(v20, v22) = v23) |  ~ (relation(v20) = 0) | relation_restriction(v20, v21) = v23) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (cartesian_product2(v20, v21) = v22) |  ~ (in(v23, v22) = 0) |  ? [v24] :  ? [v25] : (ordered_pair(v24, v25) = v23 & in(v25, v21) = 0 & in(v24, v20) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (element(v23, v22) = 0) |  ~ (element(v21, v22) = 0) |  ~ (powerset(v20) = v22) |  ? [v24] :  ? [v25] :  ? [v26] : (subset_complement(v20, v23) = v25 & disjoint(v21, v23) = v24 & subset(v21, v25) = v26 & ( ~ (v26 = 0) | v24 = 0) & ( ~ (v24 = 0) | v26 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (element(v22, v23) = 0) |  ~ (element(v21, v23) = 0) |  ~ (powerset(v20) = v23) |  ? [v24] : (subset_difference(v20, v21, v22) = v24 & set_difference(v21, v22) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (element(v22, v23) = 0) |  ~ (powerset(v20) = v23) |  ~ (in(v21, v22) = 0) |  ? [v24] :  ? [v25] : ( ~ (v25 = 0) & subset_complement(v20, v22) = v24 & in(v21, v24) = v25)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (element(v21, v23) = 0) |  ~ (powerset(v22) = v23) |  ~ (powerset(v20) = v22) |  ? [v24] : (meet_of_subsets(v20, v21) = v24 & set_meet(v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (element(v21, v23) = 0) |  ~ (powerset(v22) = v23) |  ~ (powerset(v20) = v22) |  ? [v24] : (union_of_subsets(v20, v21) = v24 & union(v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (element(v21, v23) = 0) |  ~ (powerset(v22) = v23) |  ~ (powerset(v20) = v22) |  ? [v24] : (complements_of_subsets(v20, v24) = v21 & complements_of_subsets(v20, v21) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (element(v21, v23) = 0) |  ~ (powerset(v22) = v23) |  ~ (powerset(v20) = v22) |  ? [v24] : (complements_of_subsets(v20, v21) = v24 &  ! [v25] : (v25 = v24 |  ~ (element(v25, v23) = 0) |  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (subset_complement(v20, v26) = v28 & element(v26, v22) = 0 & in(v28, v21) = v29 & in(v26, v25) = v27 & ( ~ (v29 = 0) |  ~ (v27 = 0)) & (v29 = 0 | v27 = 0))) &  ! [v25] : ( ~ (element(v25, v22) = 0) |  ~ (element(v24, v23) = 0) |  ? [v26] :  ? [v27] :  ? [v28] : (subset_complement(v20, v25) = v27 & in(v27, v21) = v28 & in(v25, v24) = v26 & ( ~ (v28 = 0) | v26 = 0) & ( ~ (v26 = 0) | v28 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (element(v21, v23) = 0) |  ~ (powerset(v22) = v23) |  ~ (in(v20, v21) = 0) |  ? [v24] : ( ~ (v24 = 0) & empty(v22) = v24)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (succ(v20) = v21) |  ~ (ordinal_subset(v21, v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v24 = 0) & ordinal(v20) = v24) | (ordinal(v22) = v24 & in(v20, v22) = v25 & ( ~ (v24 = 0) | (( ~ (v25 = 0) | v23 = 0) & ( ~ (v23 = 0) | v25 = 0)))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_inverse_image(v20, v21) = v22) |  ~ (relation(v20) = 0) |  ~ (in(v23, v22) = 0) |  ? [v24] :  ? [v25] : (ordered_pair(v23, v24) = v25 & in(v25, v20) = 0 & in(v24, v21) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_rng_restriction(v20, v22) = v23) |  ~ (relation_dom_restriction(v21, v20) = v22) |  ? [v24] :  ? [v25] : (relation_restriction(v21, v20) = v25 & relation(v21) = v24 & ( ~ (v24 = 0) | v25 = v23))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_rng_restriction(v20, v21) = v22) |  ~ (relation_dom_restriction(v22, v20) = v23) |  ? [v24] :  ? [v25] : (relation_restriction(v21, v20) = v25 & relation(v21) = v24 & ( ~ (v24 = 0) | v25 = v23))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_dom(v21) = v22) |  ~ (set_intersection2(v22, v20) = v23) |  ? [v24] :  ? [v25] :  ? [v26] : (relation_dom(v25) = v26 & relation_dom_restriction(v21, v20) = v25 & relation(v21) = v24 & ( ~ (v24 = 0) | v26 = v23))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_dom(v21) = v22) |  ~ (in(v20, v22) = v23) |  ? [v24] :  ? [v25] :  ? [v26] : (apply(v21, v20) = v26 & relation(v21) = v24 & function(v21) = v25 & ( ~ (v25 = 0) |  ~ (v24 = 0) |  ! [v27] :  ! [v28] :  ! [v29] : ( ~ (v23 = 0) |  ~ (relation_composition(v21, v27) = v28) |  ~ (apply(v28, v20) = v29) |  ? [v30] :  ? [v31] :  ? [v32] : (apply(v27, v26) = v32 & relation(v27) = v30 & function(v27) = v31 & ( ~ (v31 = 0) |  ~ (v30 = 0) | v32 = v29)))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_image(v20, v21) = v22) |  ~ (relation(v20) = 0) |  ~ (in(v23, v22) = 0) |  ? [v24] :  ? [v25] : (ordered_pair(v24, v23) = v25 & in(v25, v20) = 0 & in(v24, v21) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (subset(v23, v22) = 0) |  ~ (unordered_pair(v20, v21) = v23) | (in(v21, v22) = 0 & in(v20, v22) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (set_intersection2(v20, v21) = v22) |  ~ (in(v23, v20) = 0) |  ? [v24] :  ? [v25] : (in(v23, v22) = v25 & in(v23, v21) = v24 & ( ~ (v24 = 0) | v25 = 0))) &  ? [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v20 |  ~ (set_difference(v21, v22) = v23) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (in(v24, v22) = v27 & in(v24, v21) = v26 & in(v24, v20) = v25 & ( ~ (v26 = 0) |  ~ (v25 = 0) | v27 = 0) & (v25 = 0 | (v26 = 0 &  ~ (v27 = 0))))) &  ? [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v20 |  ~ (cartesian_product2(v21, v22) = v23) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : (in(v24, v20) = v25 & ( ~ (v25 = 0) |  ! [v31] :  ! [v32] : ( ~ (ordered_pair(v31, v32) = v24) |  ? [v33] :  ? [v34] : (in(v32, v22) = v34 & in(v31, v21) = v33 & ( ~ (v34 = 0) |  ~ (v33 = 0))))) & (v25 = 0 | (v30 = v24 & v29 = 0 & v28 = 0 & ordered_pair(v26, v27) = v24 & in(v27, v22) = 0 & in(v26, v21) = 0)))) &  ? [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v20 |  ~ (fiber(v21, v22) = v23) |  ~ (relation(v21) = 0) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (ordered_pair(v24, v22) = v26 & in(v26, v21) = v27 & in(v24, v20) = v25 & ( ~ (v27 = 0) |  ~ (v25 = 0) | v24 = v22) & (v25 = 0 | (v27 = 0 &  ~ (v24 = v22))))) &  ? [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v20 |  ~ (relation_inverse_image(v21, v22) = v23) |  ~ (relation(v21) = 0) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (in(v24, v20) = v25 & ( ~ (v25 = 0) |  ! [v30] :  ! [v31] : ( ~ (ordered_pair(v24, v30) = v31) |  ~ (in(v31, v21) = 0) |  ? [v32] : ( ~ (v32 = 0) & in(v30, v22) = v32))) & (v25 = 0 | (v29 = 0 & v28 = 0 & ordered_pair(v24, v26) = v27 & in(v27, v21) = 0 & in(v26, v22) = 0)))) &  ? [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v20 |  ~ (relation_image(v21, v22) = v23) |  ~ (relation(v21) = 0) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (in(v24, v20) = v25 & ( ~ (v25 = 0) |  ! [v30] :  ! [v31] : ( ~ (ordered_pair(v30, v24) = v31) |  ~ (in(v31, v21) = 0) |  ? [v32] : ( ~ (v32 = 0) & in(v30, v22) = v32))) & (v25 = 0 | (v29 = 0 & v28 = 0 & ordered_pair(v26, v24) = v27 & in(v27, v21) = 0 & in(v26, v22) = 0)))) &  ? [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v20 |  ~ (set_intersection2(v21, v22) = v23) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (in(v24, v22) = v27 & in(v24, v21) = v26 & in(v24, v20) = v25 & ( ~ (v27 = 0) |  ~ (v26 = 0) |  ~ (v25 = 0)) & (v25 = 0 | (v27 = 0 & v26 = 0)))) &  ? [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v20 |  ~ (set_union2(v21, v22) = v23) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (in(v24, v22) = v27 & in(v24, v21) = v26 & in(v24, v20) = v25 & ( ~ (v25 = 0) | ( ~ (v27 = 0) &  ~ (v26 = 0))) & (v27 = 0 | v26 = 0 | v25 = 0))) &  ? [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v20 |  ~ (unordered_pair(v21, v22) = v23) |  ? [v24] :  ? [v25] : (in(v24, v20) = v25 & ( ~ (v25 = 0) | ( ~ (v24 = v22) &  ~ (v24 = v21))) & (v25 = 0 | v24 = v22 | v24 = v21))) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v21 |  ~ (relation_inverse(v20) = v21) |  ~ (relation(v22) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (( ~ (v23 = 0) & relation(v20) = v23) | (ordered_pair(v24, v23) = v27 & ordered_pair(v23, v24) = v25 & in(v27, v20) = v28 & in(v25, v22) = v26 & ( ~ (v28 = 0) |  ~ (v26 = 0)) & (v28 = 0 | v26 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v21 |  ~ (identity_relation(v20) = v22) |  ~ (relation(v21) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (ordered_pair(v23, v24) = v25 & in(v25, v21) = v26 & in(v23, v20) = v27 & ( ~ (v27 = 0) |  ~ (v26 = 0) |  ~ (v24 = v23)) & (v26 = 0 | (v27 = 0 & v24 = v23)))) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v21 |  ~ (set_union2(v20, v21) = v22) |  ? [v23] : ( ~ (v23 = 0) & subset(v20, v21) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v21 |  ~ (epsilon_connected(v20) = 0) |  ~ (in(v22, v20) = 0) |  ~ (in(v21, v20) = 0) |  ? [v23] :  ? [v24] : (in(v22, v21) = v24 & in(v21, v22) = v23 & (v24 = 0 | v23 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v20 | v20 = empty_set |  ~ (singleton(v21) = v22) |  ~ (subset(v20, v22) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v20 |  ~ (singleton(v20) = v21) |  ~ (in(v22, v21) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v20 |  ~ (set_intersection2(v20, v21) = v22) |  ? [v23] : ( ~ (v23 = 0) & subset(v20, v21) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = empty_set |  ~ (set_difference(v20, v21) = v22) |  ? [v23] : ( ~ (v23 = 0) & subset(v20, v21) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = empty_set |  ~ (is_well_founded_in(v20, v21) = 0) |  ~ (subset(v22, v21) = 0) |  ~ (relation(v20) = 0) |  ? [v23] :  ? [v24] : (disjoint(v24, v22) = 0 & fiber(v20, v23) = v24 & in(v23, v22) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 | v21 = v20 |  ~ (proper_subset(v20, v21) = v22) |  ? [v23] : ( ~ (v23 = 0) & subset(v20, v21) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (well_orders(v20, v21) = v22) |  ~ (relation(v20) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (is_well_founded_in(v20, v21) = v27 & is_reflexive_in(v20, v21) = v23 & is_transitive_in(v20, v21) = v24 & is_connected_in(v20, v21) = v26 & is_antisymmetric_in(v20, v21) = v25 & ( ~ (v27 = 0) |  ~ (v26 = 0) |  ~ (v25 = 0) |  ~ (v24 = 0) |  ~ (v23 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (is_well_founded_in(v20, v21) = v22) |  ~ (relation(v20) = 0) |  ? [v23] : ( ~ (v23 = empty_set) & subset(v23, v21) = 0 &  ! [v24] :  ! [v25] : ( ~ (disjoint(v25, v23) = 0) |  ~ (fiber(v20, v24) = v25) |  ? [v26] : ( ~ (v26 = 0) & in(v24, v23) = v26)))) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (disjoint(v20, v21) = v22) |  ? [v23] :  ? [v24] : (set_intersection2(v20, v21) = v23 & in(v24, v23) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (disjoint(v20, v21) = v22) |  ? [v23] : ( ~ (v23 = v20) & set_difference(v20, v21) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (disjoint(v20, v21) = v22) |  ? [v23] : ( ~ (v23 = empty_set) & set_intersection2(v20, v21) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (disjoint(v20, v21) = v22) |  ? [v23] : (in(v23, v21) = 0 & in(v23, v20) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (element(v20, v21) = v22) |  ? [v23] : ( ~ (v23 = 0) & in(v20, v21) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (is_reflexive_in(v20, v21) = v22) |  ~ (relation(v20) = 0) |  ? [v23] :  ? [v24] :  ? [v25] : ( ~ (v25 = 0) & ordered_pair(v23, v23) = v24 & in(v24, v20) = v25 & in(v23, v21) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (singleton(v21) = v20) |  ~ (subset(v20, v20) = v22)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (singleton(v20) = v21) |  ~ (subset(empty_set, v21) = v22)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (singleton(v20) = v21) |  ~ (in(v20, v21) = v22)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (succ(v20) = v21) |  ~ (in(v20, v21) = v22)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (is_transitive_in(v20, v21) = v22) |  ~ (relation(v20) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : ( ~ (v29 = 0) & ordered_pair(v24, v25) = v27 & ordered_pair(v23, v25) = v28 & ordered_pair(v23, v24) = v26 & in(v28, v20) = v29 & in(v27, v20) = 0 & in(v26, v20) = 0 & in(v25, v21) = 0 & in(v24, v21) = 0 & in(v23, v21) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (is_connected_in(v20, v21) = v22) |  ~ (relation(v20) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : ( ~ (v28 = 0) &  ~ (v26 = 0) &  ~ (v24 = v23) & ordered_pair(v24, v23) = v27 & ordered_pair(v23, v24) = v25 & in(v27, v20) = v28 & in(v25, v20) = v26 & in(v24, v21) = 0 & in(v23, v21) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (is_antisymmetric_in(v20, v21) = v22) |  ~ (relation(v20) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : ( ~ (v24 = v23) & ordered_pair(v24, v23) = v26 & ordered_pair(v23, v24) = v25 & in(v26, v20) = 0 & in(v25, v20) = 0 & in(v24, v21) = 0 & in(v23, v21) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (subset(v21, v20) = v22) |  ~ (epsilon_transitive(v20) = 0) |  ? [v23] : ( ~ (v23 = 0) & in(v21, v20) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (subset(v20, v21) = v22) |  ~ (relation(v20) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : ((v26 = 0 &  ~ (v27 = 0) & ordered_pair(v23, v24) = v25 & in(v25, v21) = v27 & in(v25, v20) = 0) | ( ~ (v23 = 0) & relation(v21) = v23))) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (subset(v20, v21) = v22) |  ? [v23] :  ? [v24] : ( ~ (v24 = 0) & in(v23, v21) = v24 & in(v23, v20) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (ordinal_subset(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (ordinal_subset(v21, v20) = v25 & ordinal(v21) = v24 & ordinal(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | v25 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (ordinal_subset(v20, v20) = v22) |  ~ (ordinal(v21) = 0) |  ? [v23] : ( ~ (v23 = 0) & ordinal(v20) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (ordinal(v21) = 0) |  ~ (ordinal(v20) = v22) |  ? [v23] : ( ~ (v23 = 0) & in(v20, v21) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (relation_empty_yielding(v22) = v21) |  ~ (relation_empty_yielding(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (function_inverse(v22) = v21) |  ~ (function_inverse(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (relation_inverse(v22) = v21) |  ~ (relation_inverse(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (being_limit_ordinal(v22) = v21) |  ~ (being_limit_ordinal(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (relation_rng(v22) = v21) |  ~ (relation_rng(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (well_ordering(v22) = v21) |  ~ (well_ordering(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (reflexive(v22) = v21) |  ~ (reflexive(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (union(v22) = v21) |  ~ (union(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (cast_to_subset(v22) = v21) |  ~ (cast_to_subset(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (well_founded_relation(v22) = v21) |  ~ (well_founded_relation(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (powerset(v22) = v21) |  ~ (powerset(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (set_meet(v22) = v21) |  ~ (set_meet(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (singleton(v22) = v21) |  ~ (singleton(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (succ(v22) = v21) |  ~ (succ(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (transitive(v22) = v21) |  ~ (transitive(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (connected(v22) = v21) |  ~ (connected(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (relation_field(v22) = v21) |  ~ (relation_field(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (antisymmetric(v22) = v21) |  ~ (antisymmetric(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (relation_dom(v22) = v21) |  ~ (relation_dom(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (identity_relation(v22) = v21) |  ~ (identity_relation(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (one_to_one(v22) = v21) |  ~ (one_to_one(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (relation(v22) = v21) |  ~ (relation(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (epsilon_connected(v22) = v21) |  ~ (epsilon_connected(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (ordinal(v22) = v21) |  ~ (ordinal(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (epsilon_transitive(v22) = v21) |  ~ (epsilon_transitive(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (function(v22) = v21) |  ~ (function(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (empty(v22) = v21) |  ~ (empty(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v20 = empty_set |  ~ (relation_rng(v21) = v22) |  ~ (subset(v20, v22) = 0) |  ? [v23] :  ? [v24] : (relation_inverse_image(v21, v20) = v24 & relation(v21) = v23 & ( ~ (v24 = empty_set) |  ~ (v23 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] : (v20 = empty_set |  ~ (element(v22, v21) = 0) |  ~ (powerset(v20) = v21) |  ? [v23] : (subset_complement(v20, v22) = v23 &  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (in(v24, v23) = v25) |  ? [v26] :  ? [v27] : (element(v24, v20) = v26 & in(v24, v22) = v27 & ( ~ (v26 = 0) | v27 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_composition(v21, v20) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (relation(v22) = v26 & relation(v21) = v24 & empty(v22) = v25 & empty(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | (v26 = 0 & v25 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_composition(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (relation(v22) = v27 & relation(v21) = v25 & relation(v20) = v23 & function(v22) = v28 & function(v21) = v26 & function(v20) = v24 & ( ~ (v26 = 0) |  ~ (v25 = 0) |  ~ (v24 = 0) |  ~ (v23 = 0) | (v28 = 0 & v27 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_composition(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (relation(v22) = v26 & relation(v21) = v24 & empty(v22) = v25 & empty(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | (v26 = 0 & v25 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_composition(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (relation(v22) = v25 & relation(v21) = v24 & relation(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | v25 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_restriction(v21, v20) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (reflexive(v22) = v25 & reflexive(v21) = v24 & relation(v21) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | v25 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_restriction(v21, v20) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (well_founded_relation(v22) = v25 & well_founded_relation(v21) = v24 & relation(v21) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | v25 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_restriction(v21, v20) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (transitive(v22) = v25 & transitive(v21) = v24 & relation(v21) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | v25 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_restriction(v21, v20) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (connected(v22) = v25 & connected(v21) = v24 & relation(v21) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | v25 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_restriction(v21, v20) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (antisymmetric(v22) = v25 & antisymmetric(v21) = v24 & relation(v21) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | v25 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_restriction(v20, v21) = v22) |  ? [v23] :  ? [v24] : (relation(v22) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | v24 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (well_orders(v20, v21) = v22) |  ~ (relation_field(v20) = v21) |  ? [v23] :  ? [v24] : (well_ordering(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_rng(v20) = v21) |  ~ (in(v22, v21) = 0) |  ? [v23] :  ? [v24] :  ? [v25] : ((v25 = 0 & ordered_pair(v23, v22) = v24 & in(v24, v20) = 0) | ( ~ (v23 = 0) & relation(v20) = v23))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_difference(v20, v22) = v20) |  ~ (singleton(v21) = v22) |  ? [v23] : ( ~ (v23 = 0) & in(v21, v20) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_difference(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (relation(v22) = v25 & relation(v21) = v24 & relation(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | v25 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (union(v20) = v21) |  ~ (in(v22, v21) = 0) |  ? [v23] : (in(v23, v20) = 0 & in(v22, v23) = 0)) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (is_well_founded_in(v20, v21) = v22) |  ~ (relation_field(v20) = v21) |  ? [v23] :  ? [v24] : (well_founded_relation(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (cartesian_product2(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (empty(v22) = v25 & empty(v21) = v24 & empty(v20) = v23 & ( ~ (v25 = 0) | v24 = 0 | v23 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (disjoint(v22, v21) = 0) |  ~ (singleton(v20) = v22) |  ? [v23] : ( ~ (v23 = 0) & in(v20, v21) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (disjoint(v20, v21) = 0) |  ~ (in(v22, v20) = 0) |  ? [v23] : ( ~ (v23 = 0) & in(v22, v21) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (element(v21, v22) = 0) |  ~ (powerset(v20) = v22) |  ? [v23] : (subset_complement(v20, v21) = v23 & set_difference(v20, v21) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (element(v21, v20) = v22) |  ? [v23] :  ? [v24] : (empty(v21) = v24 & empty(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (element(v21, v20) = v22) |  ? [v23] :  ? [v24] : (empty(v20) = v23 & in(v21, v20) = v24 & (v23 = 0 | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (element(v20, v22) = 0) |  ~ (powerset(v21) = v22) | subset(v20, v21) = 0) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (powerset(v20) = v21) |  ~ (subset(v22, v20) = 0) | in(v22, v21) = 0) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (is_reflexive_in(v20, v21) = v22) |  ~ (relation_field(v20) = v21) |  ? [v23] :  ? [v24] : (reflexive(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (singleton(v20) = v22) |  ~ (subset(v22, v21) = 0) | in(v20, v21) = 0) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (singleton(v20) = v21) |  ~ (set_union2(v20, v21) = v22) | succ(v20) = v22) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (is_transitive_in(v20, v21) = v22) |  ~ (relation_field(v20) = v21) |  ? [v23] :  ? [v24] : (transitive(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (is_connected_in(v20, v21) = v22) |  ~ (relation_field(v20) = v21) |  ? [v23] :  ? [v24] : (connected(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_field(v20) = v21) |  ~ (is_antisymmetric_in(v20, v21) = v22) |  ? [v23] :  ? [v24] : (antisymmetric(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_rng_restriction(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (relation(v22) = v25 & relation(v21) = v23 & function(v22) = v26 & function(v21) = v24 & ( ~ (v24 = 0) |  ~ (v23 = 0) | (v26 = 0 & v25 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_rng_restriction(v20, v21) = v22) |  ? [v23] :  ? [v24] : (relation(v22) = v24 & relation(v21) = v23 & ( ~ (v23 = 0) | v24 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_dom(v20) = v21) |  ~ (relation_image(v20, v21) = v22) |  ? [v23] :  ? [v24] : (relation_rng(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | v24 = v22))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_dom(v20) = v21) |  ~ (in(v22, v21) = 0) |  ? [v23] :  ? [v24] :  ? [v25] : ((v25 = 0 & ordered_pair(v22, v23) = v24 & in(v24, v20) = 0) | ( ~ (v23 = 0) & relation(v20) = v23))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_dom_restriction(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (relation_empty_yielding(v22) = v26 & relation_empty_yielding(v20) = v24 & relation(v22) = v25 & relation(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | (v26 = 0 & v25 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_dom_restriction(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (relation(v22) = v25 & relation(v20) = v23 & function(v22) = v26 & function(v20) = v24 & ( ~ (v24 = 0) |  ~ (v23 = 0) | (v26 = 0 & v25 = 0)))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_dom_restriction(v20, v21) = v22) |  ? [v23] :  ? [v24] : (relation(v22) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | v24 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (subset(v20, v21) = 0) |  ~ (in(v22, v20) = 0) | in(v22, v21) = 0) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (identity_relation(v20) = v22) |  ~ (function(v21) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (relation_dom(v21) = v24 & relation(v21) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = v20) | v22 = v21 | (v26 = 0 &  ~ (v27 = v25) & apply(v21, v25) = v27 & in(v25, v20) = 0)) & ( ~ (v22 = v21) | (v24 = v20 &  ! [v28] :  ! [v29] : (v29 = v28 |  ~ (apply(v21, v28) = v29) |  ? [v30] : ( ~ (v30 = 0) & in(v28, v20) = v30)))))))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (ordered_pair(v20, v21) = v22) |  ? [v23] : ( ~ (v23 = 0) & empty(v22) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (ordinal_subset(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (subset(v20, v21) = v25 & ordinal(v21) = v24 & ordinal(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | (( ~ (v25 = 0) | v22 = 0) & ( ~ (v22 = 0) | v25 = 0))))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_intersection2(v20, v21) = v22) | set_intersection2(v21, v20) = v22) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_intersection2(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (relation(v22) = v25 & relation(v21) = v24 & relation(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | v25 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_union2(v21, v20) = v22) |  ? [v23] :  ? [v24] : (empty(v22) = v24 & empty(v20) = v23 & ( ~ (v24 = 0) | v23 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_union2(v20, v21) = v22) | set_union2(v21, v20) = v22) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_union2(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (relation(v22) = v25 & relation(v21) = v24 & relation(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) | v25 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_union2(v20, v21) = v22) |  ? [v23] :  ? [v24] : (empty(v22) = v24 & empty(v20) = v23 & ( ~ (v24 = 0) | v23 = 0))) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (unordered_pair(v20, v21) = v22) | unordered_pair(v21, v20) = v22) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (unordered_pair(v20, v21) = v22) |  ? [v23] : ( ~ (v23 = 0) & empty(v22) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (in(v21, v22) = 0) |  ~ (in(v20, v21) = 0) |  ? [v23] : ( ~ (v23 = 0) & in(v22, v20) = v23)) &  ? [v20] :  ! [v21] :  ! [v22] : (v22 = v20 | v21 = empty_set |  ~ (set_meet(v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (in(v23, v20) = v24 & ( ~ (v24 = 0) | (v26 = 0 &  ~ (v27 = 0) & in(v25, v21) = 0 & in(v23, v25) = v27)) & (v24 = 0 |  ! [v28] :  ! [v29] : (v29 = 0 |  ~ (in(v23, v28) = v29) |  ? [v30] : ( ~ (v30 = 0) & in(v28, v21) = v30))))) &  ? [v20] :  ! [v21] :  ! [v22] : (v22 = v20 |  ~ (relation_rng(v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (( ~ (v23 = 0) & relation(v21) = v23) | (in(v23, v20) = v24 & ( ~ (v24 = 0) |  ! [v28] :  ! [v29] : ( ~ (ordered_pair(v28, v23) = v29) |  ~ (in(v29, v21) = 0))) & (v24 = 0 | (v27 = 0 & ordered_pair(v25, v23) = v26 & in(v26, v21) = 0))))) &  ? [v20] :  ! [v21] :  ! [v22] : (v22 = v20 |  ~ (union(v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (in(v23, v20) = v24 & ( ~ (v24 = 0) |  ! [v28] : ( ~ (in(v23, v28) = 0) |  ? [v29] : ( ~ (v29 = 0) & in(v28, v21) = v29))) & (v24 = 0 | (v27 = 0 & v26 = 0 & in(v25, v21) = 0 & in(v23, v25) = 0)))) &  ? [v20] :  ! [v21] :  ! [v22] : (v22 = v20 |  ~ (powerset(v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (subset(v23, v21) = v25 & in(v23, v20) = v24 & ( ~ (v25 = 0) |  ~ (v24 = 0)) & (v25 = 0 | v24 = 0))) &  ? [v20] :  ! [v21] :  ! [v22] : (v22 = v20 |  ~ (singleton(v21) = v22) |  ? [v23] :  ? [v24] : (in(v23, v20) = v24 & ( ~ (v24 = 0) |  ~ (v23 = v21)) & (v24 = 0 | v23 = v21))) &  ? [v20] :  ! [v21] :  ! [v22] : (v22 = v20 |  ~ (relation_dom(v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (( ~ (v23 = 0) & relation(v21) = v23) | (in(v23, v20) = v24 & ( ~ (v24 = 0) |  ! [v28] :  ! [v29] : ( ~ (ordered_pair(v23, v28) = v29) |  ~ (in(v29, v21) = 0))) & (v24 = 0 | (v27 = 0 & ordered_pair(v23, v25) = v26 & in(v26, v21) = 0))))) &  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (set_difference(v20, empty_set) = v21)) &  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (cast_to_subset(v20) = v21)) &  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (subset(v20, v21) = 0) |  ? [v22] : ( ~ (v22 = 0) & subset(v21, v20) = v22)) &  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (set_intersection2(v20, v20) = v21)) &  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (set_union2(v20, v20) = v21)) &  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (set_union2(v20, empty_set) = v21)) &  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (relation(v21) = 0) |  ~ (relation(v20) = 0) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (ordered_pair(v22, v23) = v24 & in(v24, v21) = v26 & in(v24, v20) = v25 & ( ~ (v26 = 0) |  ~ (v25 = 0)) & (v26 = 0 | v25 = 0))) &  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (ordinal(v21) = 0) |  ~ (ordinal(v20) = 0) |  ? [v22] :  ? [v23] : (in(v21, v20) = v23 & in(v20, v21) = v22 & (v23 = 0 | v22 = 0))) &  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (empty(v21) = 0) |  ~ (empty(v20) = 0)) &  ! [v20] :  ! [v21] : (v21 = empty_set |  ~ (set_difference(empty_set, v20) = v21)) &  ! [v20] :  ! [v21] : (v21 = empty_set |  ~ (set_intersection2(v20, empty_set) = v21)) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (being_limit_ordinal(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : ((v24 = 0 & v23 = 0 &  ~ (v26 = 0) & succ(v22) = v25 & ordinal(v22) = 0 & in(v25, v20) = v26 & in(v22, v20) = 0) | ( ~ (v22 = 0) & ordinal(v20) = v22))) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (being_limit_ordinal(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : ((v24 = v20 & v23 = 0 & succ(v22) = v20 & ordinal(v22) = 0) | ( ~ (v22 = 0) & ordinal(v20) = v22))) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (being_limit_ordinal(v20) = v21) |  ? [v22] : ( ~ (v22 = v20) & union(v20) = v22)) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (transitive(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : ((v28 = 0 & v26 = 0 &  ~ (v30 = 0) & ordered_pair(v23, v24) = v27 & ordered_pair(v22, v24) = v29 & ordered_pair(v22, v23) = v25 & in(v29, v20) = v30 & in(v27, v20) = 0 & in(v25, v20) = 0) | ( ~ (v22 = 0) & relation(v20) = v22))) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (antisymmetric(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : ((v27 = 0 & v25 = 0 &  ~ (v23 = v22) & ordered_pair(v23, v22) = v26 & ordered_pair(v22, v23) = v24 & in(v26, v20) = 0 & in(v24, v20) = 0) | ( ~ (v22 = 0) & relation(v20) = v22))) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (subset(v20, v20) = v21)) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (subset(empty_set, v20) = v21)) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (relation(v20) = v21) |  ? [v22] : (in(v22, v20) = 0 &  ! [v23] :  ! [v24] :  ~ (ordered_pair(v23, v24) = v22))) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (epsilon_connected(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : ( ~ (v25 = 0) &  ~ (v24 = 0) &  ~ (v23 = v22) & in(v23, v22) = v25 & in(v23, v20) = 0 & in(v22, v23) = v24 & in(v22, v20) = 0)) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (ordinal(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (subset(v22, v20) = v24 & ordinal(v22) = v23 & in(v22, v20) = 0 & ( ~ (v24 = 0) |  ~ (v23 = 0)))) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (epsilon_transitive(v20) = v21) |  ? [v22] :  ? [v23] : ( ~ (v23 = 0) & subset(v22, v20) = v23 & in(v22, v20) = 0)) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (function(v20) = v21) |  ? [v22] : ( ~ (v22 = 0) & empty(v20) = v22)) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (empty(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : ( ~ (v24 = 0) & element(v23, v22) = 0 & powerset(v20) = v22 & empty(v23) = v24)) &  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (empty(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (relation_dom(v20) = v23 & relation(v20) = v22 & empty(v23) = v24 & ( ~ (v24 = 0) |  ~ (v22 = 0)))) &  ! [v20] :  ! [v21] : (v20 = empty_set |  ~ (relation_rng(v20) = v21) |  ? [v22] :  ? [v23] : (relation_dom(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | ( ~ (v23 = empty_set) &  ~ (v21 = empty_set))))) &  ! [v20] :  ! [v21] : (v20 = empty_set |  ~ (subset(v20, v21) = 0) |  ? [v22] :  ? [v23] :  ? [v24] : ((v24 = 0 & v23 = 0 & ordinal(v22) = 0 & in(v22, v20) = 0 &  ! [v25] :  ! [v26] : (v26 = 0 |  ~ (ordinal_subset(v22, v25) = v26) |  ? [v27] :  ? [v28] : (ordinal(v25) = v27 & in(v25, v20) = v28 & ( ~ (v28 = 0) |  ~ (v27 = 0))))) | ( ~ (v22 = 0) & ordinal(v21) = v22))) &  ! [v20] :  ! [v21] : ( ~ (function_inverse(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (relation_rng(v21) = v28 & relation_rng(v20) = v25 & relation_dom(v21) = v26 & relation_dom(v20) = v27 & one_to_one(v20) = v24 & relation(v20) = v22 & function(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0) | (v28 = v27 & v26 = v25)))) &  ! [v20] :  ! [v21] : ( ~ (function_inverse(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (relation_rng(v20) = v25 & relation_dom(v20) = v26 & one_to_one(v20) = v24 & relation(v20) = v22 & function(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0) |  ! [v27] : ( ~ (function(v27) = 0) |  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] :  ? [v33] :  ? [v34] :  ? [v35] : (relation_dom(v27) = v29 & relation(v27) = v28 & ( ~ (v28 = 0) | (( ~ (v29 = v25) | v27 = v21 | (apply(v27, v30) = v33 & apply(v20, v31) = v35 & in(v31, v26) = v34 & in(v30, v25) = v32 & ((v35 = v30 & v34 = 0 & ( ~ (v33 = v31) |  ~ (v32 = 0))) | (v33 = v31 & v32 = 0 & ( ~ (v35 = v30) |  ~ (v34 = 0)))))) & ( ~ (v27 = v21) | (v29 = v25 &  ! [v36] :  ! [v37] :  ! [v38] : ( ~ (in(v37, v26) = v38) |  ~ (in(v36, v25) = 0) |  ? [v39] :  ? [v40] : (apply(v21, v36) = v39 & apply(v20, v37) = v40 & ( ~ (v39 = v37) | (v40 = v36 & v38 = 0)))) &  ! [v36] :  ! [v37] :  ! [v38] : ( ~ (in(v37, v26) = 0) |  ~ (in(v36, v25) = v38) |  ? [v39] :  ? [v40] : (apply(v21, v36) = v40 & apply(v20, v37) = v39 & ( ~ (v39 = v36) | (v40 = v37 & v38 = 0))))))))))))) &  ! [v20] :  ! [v21] : ( ~ (function_inverse(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (relation_inverse(v20) = v25 & one_to_one(v20) = v24 & relation(v20) = v22 & function(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0) | v25 = v21))) &  ! [v20] :  ! [v21] : ( ~ (function_inverse(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (one_to_one(v21) = v25 & one_to_one(v20) = v24 & relation(v20) = v22 & function(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0) | v25 = 0))) &  ! [v20] :  ! [v21] : ( ~ (function_inverse(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (relation(v21) = v24 & relation(v20) = v22 & function(v21) = v25 & function(v20) = v23 & ( ~ (v23 = 0) |  ~ (v22 = 0) | (v25 = 0 & v24 = 0)))) &  ! [v20] :  ! [v21] : ( ~ (relation_inverse(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (relation_rng(v21) = v26 & relation_rng(v20) = v23 & relation_dom(v21) = v24 & relation_dom(v20) = v25 & relation(v20) = v22 & ( ~ (v22 = 0) | (v26 = v25 & v24 = v23)))) &  ! [v20] :  ! [v21] : ( ~ (relation_inverse(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (one_to_one(v20) = v24 & relation(v21) = v25 & relation(v20) = v22 & function(v21) = v26 & function(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0) | (v26 = 0 & v25 = 0)))) &  ! [v20] :  ! [v21] : ( ~ (relation_inverse(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (relation(v21) = v24 & empty(v21) = v23 & empty(v20) = v22 & ( ~ (v22 = 0) | (v24 = 0 & v23 = 0)))) &  ! [v20] :  ! [v21] : ( ~ (relation_inverse(v20) = v21) |  ? [v22] :  ? [v23] : (relation_inverse(v21) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | v23 = v20))) &  ! [v20] :  ! [v21] : ( ~ (relation_inverse(v20) = v21) |  ? [v22] :  ? [v23] : (relation(v21) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | v23 = 0))) &  ! [v20] :  ! [v21] : ( ~ (being_limit_ordinal(v20) = 0) |  ~ (succ(v21) = v20) |  ? [v22] : (( ~ (v22 = 0) & ordinal(v21) = v22) | ( ~ (v22 = 0) & ordinal(v20) = v22))) &  ! [v20] :  ! [v21] : ( ~ (well_orders(v20, v21) = 0) |  ~ (relation(v20) = 0) | (is_well_founded_in(v20, v21) = 0 & is_reflexive_in(v20, v21) = 0 & is_transitive_in(v20, v21) = 0 & is_connected_in(v20, v21) = 0 & is_antisymmetric_in(v20, v21) = 0)) &  ! [v20] :  ! [v21] : ( ~ (relation_rng(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (relation(v21) = v24 & empty(v21) = v23 & empty(v20) = v22 & ( ~ (v22 = 0) | (v24 = 0 & v23 = 0)))) &  ! [v20] :  ! [v21] : ( ~ (relation_rng(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (relation(v20) = v23 & empty(v21) = v24 & empty(v20) = v22 & ( ~ (v24 = 0) |  ~ (v23 = 0) | v22 = 0))) &  ! [v20] :  ! [v21] : ( ~ (relation_rng(v20) = v21) |  ? [v22] :  ? [v23] : (relation_dom(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) |  ! [v24] :  ! [v25] :  ! [v26] : ( ~ (relation_rng(v24) = v25) |  ~ (subset(v21, v25) = v26) |  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : (relation_dom(v24) = v29 & subset(v23, v29) = v30 & subset(v20, v24) = v28 & relation(v24) = v27 & ( ~ (v28 = 0) |  ~ (v27 = 0) | (v30 = 0 & v26 = 0))))))) &  ! [v20] :  ! [v21] : ( ~ (relation_rng(v20) = v21) |  ? [v22] :  ? [v23] : (relation_dom(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) |  ! [v24] :  ! [v25] : ( ~ (relation_rng(v24) = v25) |  ~ (subset(v23, v25) = 0) |  ? [v26] :  ? [v27] :  ? [v28] : (relation_composition(v24, v20) = v27 & relation_rng(v27) = v28 & relation(v24) = v26 & ( ~ (v26 = 0) | v28 = v21)))))) &  ! [v20] :  ! [v21] : ( ~ (relation_rng(v20) = v21) |  ? [v22] :  ? [v23] : (relation_dom(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) |  ! [v24] :  ! [v25] : ( ~ (relation_dom(v24) = v25) |  ~ (subset(v21, v25) = 0) |  ? [v26] :  ? [v27] :  ? [v28] : (relation_composition(v20, v24) = v27 & relation_dom(v27) = v28 & relation(v24) = v26 & ( ~ (v26 = 0) | v28 = v23)))))) &  ! [v20] :  ! [v21] : ( ~ (relation_rng(v20) = v21) |  ? [v22] :  ? [v23] : (relation_dom(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | (( ~ (v23 = empty_set) | v21 = empty_set) & ( ~ (v21 = empty_set) | v23 = empty_set))))) &  ! [v20] :  ! [v21] : ( ~ (set_difference(v20, v21) = empty_set) | subset(v20, v21) = 0) &  ! [v20] :  ! [v21] : ( ~ (well_ordering(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (reflexive(v20) = v23 & well_founded_relation(v20) = v27 & transitive(v20) = v24 & connected(v20) = v26 & antisymmetric(v20) = v25 & relation(v20) = v22 & ( ~ (v22 = 0) | (( ~ (v27 = 0) |  ~ (v26 = 0) |  ~ (v25 = 0) |  ~ (v24 = 0) |  ~ (v23 = 0) | v21 = 0) & ( ~ (v21 = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0)))))) &  ! [v20] :  ! [v21] : ( ~ (reflexive(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (relation_field(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | (( ~ (v21 = 0) |  ! [v28] : ( ~ (in(v28, v23) = 0) |  ? [v29] : (ordered_pair(v28, v28) = v29 & in(v29, v20) = 0))) & (v21 = 0 | (v25 = 0 &  ~ (v27 = 0) & ordered_pair(v24, v24) = v26 & in(v26, v20) = v27 & in(v24, v23) = 0)))))) &  ! [v20] :  ! [v21] : ( ~ (union(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (epsilon_connected(v21) = v24 & ordinal(v21) = v25 & ordinal(v20) = v22 & epsilon_transitive(v21) = v23 & ( ~ (v22 = 0) | (v25 = 0 & v24 = 0 & v23 = 0)))) &  ! [v20] :  ! [v21] : ( ~ (well_founded_relation(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (relation_field(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | (( ~ (v21 = 0) |  ! [v26] : (v26 = empty_set |  ~ (subset(v26, v23) = 0) |  ? [v27] :  ? [v28] : (disjoint(v28, v26) = 0 & fiber(v20, v27) = v28 & in(v27, v26) = 0))) & (v21 = 0 | (v25 = 0 &  ~ (v24 = empty_set) & subset(v24, v23) = 0 &  ! [v26] :  ! [v27] : ( ~ (disjoint(v27, v24) = 0) |  ~ (fiber(v20, v26) = v27) |  ? [v28] : ( ~ (v28 = 0) & in(v26, v24) = v28)))))))) &  ! [v20] :  ! [v21] : ( ~ (disjoint(v20, v21) = 0) | set_difference(v20, v21) = v20) &  ! [v20] :  ! [v21] : ( ~ (disjoint(v20, v21) = 0) | disjoint(v21, v20) = 0) &  ! [v20] :  ! [v21] : ( ~ (disjoint(v20, v21) = 0) | set_intersection2(v20, v21) = empty_set) &  ! [v20] :  ! [v21] : ( ~ (disjoint(v20, v21) = 0) |  ? [v22] : (set_intersection2(v20, v21) = v22 &  ! [v23] :  ~ (in(v23, v22) = 0))) &  ! [v20] :  ! [v21] : ( ~ (element(v20, v21) = 0) |  ? [v22] :  ? [v23] : (empty(v21) = v22 & in(v20, v21) = v23 & (v23 = 0 | v22 = 0))) &  ! [v20] :  ! [v21] : ( ~ (powerset(v20) = v21) | union(v21) = v20) &  ! [v20] :  ! [v21] : ( ~ (powerset(v20) = v21) |  ? [v22] : ( ~ (v22 = 0) & empty(v21) = v22)) &  ! [v20] :  ! [v21] : ( ~ (powerset(v20) = v21) |  ? [v22] : (element(v22, v21) = 0 & empty(v22) = 0)) &  ! [v20] :  ! [v21] : ( ~ (singleton(v20) = v21) |  ? [v22] : ( ~ (v22 = 0) & empty(v21) = v22)) &  ! [v20] :  ! [v21] : ( ~ (succ(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (epsilon_connected(v21) = v25 & ordinal(v21) = v26 & ordinal(v20) = v22 & epsilon_transitive(v21) = v24 & empty(v21) = v23 & ( ~ (v22 = 0) | (v26 = 0 & v25 = 0 & v24 = 0 &  ~ (v23 = 0))))) &  ! [v20] :  ! [v21] : ( ~ (succ(v20) = v21) |  ? [v22] : ( ~ (v22 = 0) & empty(v21) = v22)) &  ! [v20] :  ! [v21] : ( ~ (connected(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] : (relation_field(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | (( ~ (v21 = 0) |  ! [v32] :  ! [v33] : (v33 = v32 |  ~ (in(v33, v23) = 0) |  ~ (in(v32, v23) = 0) |  ? [v34] :  ? [v35] :  ? [v36] :  ? [v37] : (ordered_pair(v33, v32) = v36 & ordered_pair(v32, v33) = v34 & in(v36, v20) = v37 & in(v34, v20) = v35 & (v37 = 0 | v35 = 0)))) & (v21 = 0 | (v27 = 0 & v26 = 0 &  ~ (v31 = 0) &  ~ (v29 = 0) &  ~ (v25 = v24) & ordered_pair(v25, v24) = v30 & ordered_pair(v24, v25) = v28 & in(v30, v20) = v31 & in(v28, v20) = v29 & in(v25, v23) = 0 & in(v24, v23) = 0)))))) &  ! [v20] :  ! [v21] : ( ~ (identity_relation(v20) = v21) | relation_rng(v21) = v20) &  ! [v20] :  ! [v21] : ( ~ (identity_relation(v20) = v21) | relation_dom(v21) = v20) &  ! [v20] :  ! [v21] : ( ~ (identity_relation(v20) = v21) | relation(v21) = 0) &  ! [v20] :  ! [v21] : ( ~ (identity_relation(v20) = v21) | function(v21) = 0) &  ! [v20] :  ! [v21] : ( ~ (unordered_pair(v20, v20) = v21) | singleton(v20) = v21) &  ! [v20] :  ! [v21] : ( ~ (one_to_one(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : (relation_dom(v20) = v24 & relation(v20) = v22 & function(v20) = v23 & ( ~ (v23 = 0) |  ~ (v22 = 0) | (( ~ (v21 = 0) |  ! [v31] :  ! [v32] : (v32 = v31 |  ~ (in(v32, v24) = 0) |  ~ (in(v31, v24) = 0) |  ? [v33] :  ? [v34] : ( ~ (v34 = v33) & apply(v20, v32) = v34 & apply(v20, v31) = v33))) & (v21 = 0 | (v30 = v29 & v28 = 0 & v27 = 0 &  ~ (v26 = v25) & apply(v20, v26) = v29 & apply(v20, v25) = v29 & in(v26, v24) = 0 & in(v25, v24) = 0)))))) &  ! [v20] :  ! [v21] : ( ~ (one_to_one(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (relation(v20) = v22 & function(v20) = v24 & empty(v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0) | v21 = 0))) &  ! [v20] :  ! [v21] : ( ~ (relation(v20) = 0) |  ~ (in(v21, v20) = 0) |  ? [v22] :  ? [v23] : ordered_pair(v22, v23) = v21) &  ! [v20] :  ! [v21] : ( ~ (epsilon_connected(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (ordinal(v20) = v24 & epsilon_transitive(v20) = v23 & empty(v20) = v22 & ( ~ (v22 = 0) | (v24 = 0 & v23 = 0 & v21 = 0)))) &  ! [v20] :  ! [v21] : ( ~ (epsilon_connected(v20) = v21) |  ? [v22] :  ? [v23] : (ordinal(v20) = v22 & epsilon_transitive(v20) = v23 & ( ~ (v22 = 0) | (v23 = 0 & v21 = 0)))) &  ! [v20] :  ! [v21] : ( ~ (epsilon_transitive(v20) = 0) |  ~ (proper_subset(v20, v21) = 0) |  ? [v22] :  ? [v23] : (ordinal(v21) = v22 & in(v20, v21) = v23 & ( ~ (v22 = 0) | v23 = 0))) &  ! [v20] :  ! [v21] : ( ~ (proper_subset(v21, v20) = 0) |  ? [v22] : ( ~ (v22 = 0) & subset(v20, v21) = v22)) &  ! [v20] :  ! [v21] : ( ~ (proper_subset(v20, v21) = 0) | subset(v20, v21) = 0) &  ! [v20] :  ! [v21] : ( ~ (proper_subset(v20, v21) = 0) |  ? [v22] : ( ~ (v22 = 0) & proper_subset(v21, v20) = v22)) &  ! [v20] :  ! [v21] : ( ~ (in(v20, v21) = 0) |  ? [v22] : ( ~ (v22 = 0) & empty(v21) = v22)) &  ! [v20] :  ! [v21] : ( ~ (in(v20, v21) = 0) |  ? [v22] : ( ~ (v22 = 0) & in(v21, v20) = v22)) &  ! [v20] :  ! [v21] : ( ~ (in(v20, v21) = 0) |  ? [v22] : (in(v22, v21) = 0 &  ! [v23] : ( ~ (in(v23, v21) = 0) |  ? [v24] : ( ~ (v24 = 0) & in(v23, v22) = v24)))) &  ? [v20] :  ! [v21] : ( ~ (function(v21) = 0) |  ? [v22] :  ? [v23] : (relation_dom(v21) = v23 & relation(v21) = v22 & ( ~ (v22 = 0) |  ! [v24] :  ! [v25] :  ! [v26] :  ! [v27] : ( ~ (relation_composition(v24, v21) = v25) |  ~ (relation_dom(v25) = v26) |  ~ (in(v20, v26) = v27) |  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] :  ? [v33] : (relation_dom(v24) = v30 & apply(v24, v20) = v32 & relation(v24) = v28 & function(v24) = v29 & in(v32, v23) = v33 & in(v20, v30) = v31 & ( ~ (v29 = 0) |  ~ (v28 = 0) | (( ~ (v33 = 0) |  ~ (v31 = 0) | v27 = 0) & ( ~ (v27 = 0) | (v33 = 0 & v31 = 0))))))))) &  ? [v20] :  ! [v21] : ( ~ (function(v21) = 0) |  ? [v22] :  ? [v23] : (relation_dom(v21) = v23 & relation(v21) = v22 & ( ~ (v22 = 0) |  ! [v24] :  ! [v25] :  ! [v26] : ( ~ (relation_dom(v24) = v25) |  ~ (set_intersection2(v25, v20) = v26) |  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] :  ? [v33] : (relation_dom_restriction(v24, v20) = v29 & relation(v24) = v27 & function(v24) = v28 & ( ~ (v28 = 0) |  ~ (v27 = 0) | (( ~ (v29 = v21) | (v26 = v23 &  ! [v34] : ( ~ (in(v34, v23) = 0) |  ? [v35] : (apply(v24, v34) = v35 & apply(v21, v34) = v35)))) & ( ~ (v26 = v23) | v29 = v21 | (v31 = 0 &  ~ (v33 = v32) & apply(v24, v30) = v33 & apply(v21, v30) = v32 & in(v30, v23) = 0))))))))) &  ! [v20] : (v20 = empty_set |  ~ (set_meet(empty_set) = v20)) &  ! [v20] : (v20 = empty_set |  ~ (subset(v20, empty_set) = 0)) &  ! [v20] : (v20 = empty_set |  ~ (relation(v20) = 0) |  ? [v21] :  ? [v22] :  ? [v23] : (ordered_pair(v21, v22) = v23 & in(v23, v20) = 0)) &  ! [v20] : (v20 = empty_set |  ~ (empty(v20) = 0)) &  ! [v20] : ( ~ (being_limit_ordinal(v20) = 0) | union(v20) = v20) &  ! [v20] :  ~ (singleton(v20) = empty_set) &  ! [v20] : ( ~ (epsilon_connected(v20) = 0) |  ? [v21] :  ? [v22] : (ordinal(v20) = v22 & epsilon_transitive(v20) = v21 & ( ~ (v21 = 0) | v22 = 0))) &  ! [v20] : ( ~ (function(v20) = 0) |  ? [v21] :  ? [v22] :  ? [v23] : (relation_rng(v20) = v22 & relation_dom(v20) = v23 & relation(v20) = v21 & ( ~ (v21 = 0) | ( ! [v24] :  ! [v25] :  ! [v26] : (v25 = 0 |  ~ (in(v26, v23) = 0) |  ~ (in(v24, v22) = v25) |  ? [v27] : ( ~ (v27 = v24) & apply(v20, v26) = v27)) &  ! [v24] : ( ~ (in(v24, v22) = 0) |  ? [v25] : (apply(v20, v25) = v24 & in(v25, v23) = 0)) &  ? [v24] : (v24 = v22 |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (in(v25, v24) = v26 & ( ~ (v26 = 0) |  ! [v30] : ( ~ (in(v30, v23) = 0) |  ? [v31] : ( ~ (v31 = v25) & apply(v20, v30) = v31))) & (v26 = 0 | (v29 = v25 & v28 = 0 & apply(v20, v27) = v25 & in(v27, v23) = 0)))))))) &  ! [v20] : ( ~ (function(v20) = 0) |  ? [v21] :  ? [v22] : (relation_dom(v20) = v22 & relation(v20) = v21 & ( ~ (v21 = 0) | ( ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] :  ! [v27] : (v26 = 0 |  ~ (relation_image(v20, v23) = v24) |  ~ (in(v27, v22) = 0) |  ~ (in(v25, v24) = v26) |  ? [v28] :  ? [v29] : (apply(v20, v27) = v29 & in(v27, v23) = v28 & ( ~ (v29 = v25) |  ~ (v28 = 0)))) &  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (relation_image(v20, v23) = v24) |  ~ (in(v25, v24) = 0) |  ? [v26] : (apply(v20, v26) = v25 & in(v26, v23) = 0 & in(v26, v22) = 0)) &  ? [v23] :  ! [v24] :  ! [v25] : (v25 = v23 |  ~ (relation_image(v20, v24) = v25) |  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] : (in(v26, v23) = v27 & ( ~ (v27 = 0) |  ! [v32] : ( ~ (in(v32, v22) = 0) |  ? [v33] :  ? [v34] : (apply(v20, v32) = v34 & in(v32, v24) = v33 & ( ~ (v34 = v26) |  ~ (v33 = 0))))) & (v27 = 0 | (v31 = v26 & v30 = 0 & v29 = 0 & apply(v20, v28) = v26 & in(v28, v24) = 0 & in(v28, v22) = 0)))))))) &  ! [v20] : ( ~ (function(v20) = 0) |  ? [v21] :  ? [v22] : (relation_dom(v20) = v22 & relation(v20) = v21 & ( ~ (v21 = 0) | ( ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] :  ! [v27] : ( ~ (relation_inverse_image(v20, v23) = v24) |  ~ (apply(v20, v25) = v26) |  ~ (in(v26, v23) = v27) |  ? [v28] :  ? [v29] : (in(v25, v24) = v28 & in(v25, v22) = v29 & ( ~ (v28 = 0) | (v29 = 0 & v27 = 0)))) &  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : ( ~ (relation_inverse_image(v20, v23) = v24) |  ~ (apply(v20, v25) = v26) |  ~ (in(v26, v23) = 0) |  ? [v27] :  ? [v28] : (in(v25, v24) = v28 & in(v25, v22) = v27 & ( ~ (v27 = 0) | v28 = 0))) &  ? [v23] :  ! [v24] :  ! [v25] : (v25 = v23 |  ~ (relation_inverse_image(v20, v24) = v25) |  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : (apply(v20, v26) = v29 & in(v29, v24) = v30 & in(v26, v23) = v27 & in(v26, v22) = v28 & ( ~ (v30 = 0) |  ~ (v28 = 0) |  ~ (v27 = 0)) & (v27 = 0 | (v30 = 0 & v28 = 0)))))))) &  ! [v20] : ( ~ (function(v20) = 0) |  ? [v21] :  ? [v22] : (relation_dom(v20) = v22 & relation(v20) = v21 & ( ~ (v21 = 0) | ( ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : ( ~ (ordered_pair(v23, v24) = v25) |  ~ (in(v25, v20) = v26) |  ? [v27] :  ? [v28] : (apply(v20, v23) = v28 & in(v23, v22) = v27 & ( ~ (v27 = 0) | (( ~ (v28 = v24) | v26 = 0) & ( ~ (v26 = 0) | v28 = v24))))) &  ? [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (in(v24, v22) = v25) |  ? [v26] : (apply(v20, v24) = v26 & ( ~ (v26 = v23) | v23 = empty_set) & ( ~ (v23 = empty_set) | v26 = empty_set))))))) &  ! [v20] : ( ~ (empty(v20) = 0) | relation(v20) = 0) &  ! [v20] : ( ~ (empty(v20) = 0) |  ? [v21] : (relation_dom(v20) = v21 & relation(v21) = 0 & empty(v21) = 0)) &  ! [v20] :  ~ (proper_subset(v20, v20) = 0) &  ! [v20] :  ~ (in(v20, empty_set) = 0) &  ? [v20] :  ? [v21] : (v21 = v20 |  ? [v22] :  ? [v23] :  ? [v24] : (in(v22, v21) = v24 & in(v22, v20) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0)) & (v24 = 0 | v23 = 0))) &  ? [v20] :  ? [v21] : element(v21, v20) = 0 &  ? [v20] :  ? [v21] : (in(v20, v21) = 0 &  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (powerset(v22) = v23) |  ~ (in(v23, v21) = v24) |  ? [v25] : ( ~ (v25 = 0) & in(v22, v21) = v25)) &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (are_equipotent(v22, v21) = v23) |  ? [v24] :  ? [v25] : (subset(v22, v21) = v24 & in(v22, v21) = v25 & ( ~ (v24 = 0) | v25 = 0))) &  ! [v22] :  ! [v23] : ( ~ (subset(v23, v22) = 0) |  ? [v24] :  ? [v25] : (in(v23, v21) = v25 & in(v22, v21) = v24 & ( ~ (v24 = 0) | v25 = 0)))) &  ? [v20] :  ? [v21] : (in(v20, v21) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (are_equipotent(v22, v21) = v23) |  ? [v24] :  ? [v25] : (subset(v22, v21) = v24 & in(v22, v21) = v25 & ( ~ (v24 = 0) | v25 = 0))) &  ! [v22] :  ! [v23] : ( ~ (subset(v23, v22) = 0) |  ? [v24] :  ? [v25] : (in(v23, v21) = v25 & in(v22, v21) = v24 & ( ~ (v24 = 0) | v25 = 0))) &  ! [v22] : ( ~ (in(v22, v21) = 0) |  ? [v23] : (in(v23, v21) = 0 &  ! [v24] : ( ~ (subset(v24, v22) = 0) | in(v24, v23) = 0)))) &  ? [v20] : (v20 = empty_set |  ? [v21] : in(v21, v20) = 0))
% 36.86/9.22  | 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, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19 yields:
% 36.86/9.22  | (1)  ~ (all_0_6_6 = 0) &  ~ (all_0_8_8 = 0) &  ~ (all_0_11_11 = 0) &  ~ (all_0_15_15 = 0) & relation_empty_yielding(all_0_13_13) = 0 & relation_empty_yielding(all_0_14_14) = 0 & relation_empty_yielding(empty_set) = 0 & relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16 & relation_rng(empty_set) = empty_set & well_ordering(all_0_16_16) = all_0_15_15 & well_ordering(all_0_17_17) = 0 & powerset(empty_set) = all_0_19_19 & singleton(empty_set) = all_0_19_19 & relation_dom(empty_set) = empty_set & one_to_one(all_0_5_5) = 0 & one_to_one(all_0_10_10) = 0 & one_to_one(empty_set) = 0 & relation(all_0_0_0) = 0 & relation(all_0_2_2) = 0 & relation(all_0_4_4) = 0 & relation(all_0_5_5) = 0 & relation(all_0_7_7) = 0 & relation(all_0_10_10) = 0 & relation(all_0_13_13) = 0 & relation(all_0_14_14) = 0 & relation(all_0_17_17) = 0 & relation(empty_set) = 0 & epsilon_connected(all_0_1_1) = 0 & epsilon_connected(all_0_5_5) = 0 & epsilon_connected(all_0_12_12) = 0 & epsilon_connected(empty_set) = 0 & ordinal(all_0_1_1) = 0 & ordinal(all_0_5_5) = 0 & ordinal(all_0_12_12) = 0 & ordinal(empty_set) = 0 & epsilon_transitive(all_0_1_1) = 0 & epsilon_transitive(all_0_5_5) = 0 & epsilon_transitive(all_0_12_12) = 0 & epsilon_transitive(empty_set) = 0 & function(all_0_0_0) = 0 & function(all_0_4_4) = 0 & function(all_0_5_5) = 0 & function(all_0_10_10) = 0 & function(all_0_14_14) = 0 & function(empty_set) = 0 & empty(all_0_2_2) = 0 & empty(all_0_3_3) = 0 & empty(all_0_4_4) = 0 & empty(all_0_5_5) = 0 & empty(all_0_7_7) = all_0_6_6 & empty(all_0_9_9) = all_0_8_8 & empty(all_0_12_12) = all_0_11_11 & empty(empty_set) = 0 &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v6 = 0 |  ~ (relation_composition(v0, v1) = v2) |  ~ (ordered_pair(v3, v7) = v8) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ (relation(v0) = 0) |  ~ (in(v8, v0) = 0) |  ~ (in(v5, v2) = v6) |  ? [v9] :  ? [v10] : (( ~ (v10 = 0) & ordered_pair(v7, v4) = v9 & in(v9, v1) = v10) | ( ~ (v9 = 0) & relation(v1) = v9))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = 0 |  ~ (is_transitive_in(v0, v1) = 0) |  ~ (ordered_pair(v2, v4) = v6) |  ~ (ordered_pair(v2, v3) = v5) |  ~ (relation(v0) = 0) |  ~ (in(v6, v0) = v7) |  ~ (in(v5, v0) = 0) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (ordered_pair(v3, v4) = v11 & in(v11, v0) = v12 & in(v4, v1) = v10 & in(v3, v1) = v9 & in(v2, v1) = v8 & ( ~ (v12 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_composition(v5, v3) = v6) |  ~ (identity_relation(v2) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ (in(v4, v6) = v7) |  ? [v8] :  ? [v9] :  ? [v10] : (relation(v3) = v8 & in(v4, v3) = v10 & in(v0, v2) = v9 & ( ~ (v8 = 0) | (( ~ (v10 = 0) |  ~ (v9 = 0) | v7 = 0) & ( ~ (v7 = 0) | (v10 = 0 & v9 = 0)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (relation_restriction(v2, v0) = v3) |  ~ (fiber(v3, v1) = v4) |  ~ (fiber(v2, v1) = v5) |  ~ (subset(v4, v5) = v6) |  ? [v7] : ( ~ (v7 = 0) & relation(v2) = v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (relation_rng(v2) = v5) |  ~ (relation_dom(v2) = v3) |  ~ (in(v1, v5) = v6) |  ~ (in(v0, v3) = v4) |  ? [v7] :  ? [v8] :  ? [v9] : (ordered_pair(v0, v1) = v8 & relation(v2) = v7 & in(v8, v2) = v9 & ( ~ (v9 = 0) |  ~ (v7 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (cartesian_product2(v2, v3) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ (in(v4, v5) = v6) |  ? [v7] :  ? [v8] : (in(v1, v3) = v8 & in(v0, v2) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (cartesian_product2(v1, v3) = v5) |  ~ (cartesian_product2(v0, v2) = v4) |  ~ (subset(v4, v5) = v6) |  ? [v7] :  ? [v8] : (subset(v2, v3) = v8 & subset(v0, v1) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (transitive(v0) = 0) |  ~ (ordered_pair(v1, v3) = v5) |  ~ (ordered_pair(v1, v2) = v4) |  ~ (in(v5, v0) = v6) |  ~ (in(v4, v0) = 0) |  ? [v7] :  ? [v8] : (( ~ (v8 = 0) & ordered_pair(v2, v3) = v7 & in(v7, v0) = v8) | ( ~ (v7 = 0) & relation(v0) = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = 0 |  ~ (relation_rng(v2) = v5) |  ~ (relation_dom(v2) = v3) |  ~ (in(v1, v5) = v6) |  ~ (in(v0, v3) = v4) |  ? [v7] :  ? [v8] :  ? [v9] : (ordered_pair(v0, v1) = v8 & relation(v2) = v7 & in(v8, v2) = v9 & ( ~ (v9 = 0) |  ~ (v7 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = 0 |  ~ (cartesian_product2(v0, v1) = v2) |  ~ (ordered_pair(v5, v6) = v3) |  ~ (in(v3, v2) = v4) |  ? [v7] :  ? [v8] : (in(v6, v1) = v8 & in(v5, v0) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = 0 |  ~ (relation_inverse_image(v0, v1) = v2) |  ~ (ordered_pair(v3, v5) = v6) |  ~ (relation(v0) = 0) |  ~ (in(v6, v0) = 0) |  ~ (in(v3, v2) = v4) |  ? [v7] : ( ~ (v7 = 0) & in(v5, v1) = v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = 0 |  ~ (relation_image(v0, v1) = v2) |  ~ (ordered_pair(v5, v3) = v6) |  ~ (relation(v0) = 0) |  ~ (in(v6, v0) = 0) |  ~ (in(v3, v2) = v4) |  ? [v7] : ( ~ (v7 = 0) & in(v5, v1) = v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ (in(v5, v1) = v6) |  ? [v7] :  ? [v8] : (( ~ (v7 = 0) & relation(v1) = v7) | (in(v5, v2) = v7 & in(v4, v0) = v8 & ( ~ (v7 = 0) | (v8 = 0 & v6 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ (relation(v0) = 0) |  ~ (in(v5, v0) = v6) |  ? [v7] :  ? [v8] : (in(v5, v2) = v7 & in(v3, v1) = v8 & ( ~ (v7 = 0) | (v8 = 0 & v6 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v3 = v2 |  ~ (is_connected_in(v0, v1) = 0) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v0) = 0) |  ~ (in(v4, v0) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (ordered_pair(v3, v2) = v8 & in(v8, v0) = v9 & in(v3, v1) = v7 & in(v2, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v9 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (subset_difference(v0, v1, v2) = v4) |  ~ (element(v4, v3) = v5) |  ~ (powerset(v0) = v3) |  ? [v6] :  ? [v7] : (element(v2, v3) = v7 & element(v1, v3) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (complements_of_subsets(v0, v1) = v4) |  ~ (element(v4, v3) = v5) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ? [v6] : ( ~ (v6 = 0) & element(v1, v3) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_composition(v0, v2) = v3) |  ~ (relation_dom(v3) = v4) |  ~ (relation_dom(v0) = v1) |  ~ (subset(v4, v1) = v5) |  ? [v6] : (( ~ (v6 = 0) & relation(v2) = v6) | ( ~ (v6 = 0) & relation(v0) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_composition(v0, v1) = v2) |  ~ (relation_rng(v2) = v3) |  ~ (relation_rng(v1) = v4) |  ~ (subset(v3, v4) = v5) |  ~ (relation(v0) = 0) |  ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_inverse(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (in(v4, v1) = v5) |  ? [v6] :  ? [v7] : (( ~ (v7 = 0) & ordered_pair(v3, v2) = v6 & in(v6, v0) = v7) | ( ~ (v6 = 0) & relation(v0) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_rng(v2) = v3) |  ~ (relation_rng(v1) = v4) |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (subset(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_rng(v2) = v3) |  ~ (relation_rng(v1) = v4) |  ~ (relation_dom_restriction(v1, v0) = v2) |  ~ (subset(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (set_difference(v1, v3) = v4) |  ~ (singleton(v2) = v3) |  ~ (subset(v0, v4) = v5) |  ? [v6] :  ? [v7] : (subset(v0, v1) = v6 & in(v2, v0) = v7 & ( ~ (v6 = 0) | v7 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (set_difference(v1, v2) = v4) |  ~ (set_difference(v0, v2) = v3) |  ~ (subset(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & subset(v0, v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (fiber(v0, v1) = v2) |  ~ (ordered_pair(v3, v1) = v4) |  ~ (relation(v0) = 0) |  ~ (in(v4, v0) = v5) |  ? [v6] : ( ~ (v6 = 0) & in(v3, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_inverse_image(v2, v1) = v4) |  ~ (relation_inverse_image(v2, v0) = v3) |  ~ (subset(v3, v4) = v5) |  ? [v6] :  ? [v7] : (subset(v0, v1) = v7 & relation(v2) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_field(v2) = v3) |  ~ (in(v1, v3) = v5) |  ~ (in(v0, v3) = v4) |  ? [v6] :  ? [v7] :  ? [v8] : (ordered_pair(v0, v1) = v7 & relation(v2) = v6 & in(v7, v2) = v8 & ( ~ (v8 = 0) |  ~ (v6 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (relation_dom(v2) = v3) |  ~ (relation_dom(v1) = v4) |  ~ (subset(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (subset(v3, v4) = v5) |  ~ (set_intersection2(v1, v2) = v4) |  ~ (set_intersection2(v0, v2) = v3) |  ? [v6] : ( ~ (v6 = 0) & subset(v0, v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v4 = 0 |  ~ (relation_field(v2) = v3) |  ~ (in(v1, v3) = v5) |  ~ (in(v0, v3) = v4) |  ? [v6] :  ? [v7] :  ? [v8] : (ordered_pair(v0, v1) = v7 & relation(v2) = v6 & in(v7, v2) = v8 & ( ~ (v8 = 0) |  ~ (v6 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v3 = 0 |  ~ (relation_rng(v0) = v1) |  ~ (ordered_pair(v4, v2) = v5) |  ~ (in(v5, v0) = 0) |  ~ (in(v2, v1) = v3) |  ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v3 = 0 |  ~ (relation_dom(v0) = v1) |  ~ (ordered_pair(v2, v4) = v5) |  ~ (in(v5, v0) = 0) |  ~ (in(v2, v1) = v3) |  ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_composition(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ (relation(v0) = 0) |  ~ (in(v5, v2) = 0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = 0 & v8 = 0 & ordered_pair(v6, v4) = v9 & ordered_pair(v3, v6) = v7 & in(v9, v1) = 0 & in(v7, v0) = 0) | ( ~ (v6 = 0) & relation(v1) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ (relation_field(v2) = v3) |  ~ (relation_field(v1) = v4) |  ~ (subset(v3, v4) = v5) |  ? [v6] :  ? [v7] : (subset(v3, v0) = v7 & relation(v1) = v6 & ( ~ (v6 = 0) | (v7 = 0 & v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_rng(v3) = v4) |  ~ (relation_rng_restriction(v1, v2) = v3) |  ~ (in(v0, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (relation_rng(v2) = v8 & relation(v2) = v6 & in(v0, v8) = v9 & in(v0, v1) = v7 & ( ~ (v6 = 0) | (( ~ (v9 = 0) |  ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v9 = 0 & v7 = 0)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v2, v3) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ (in(v4, v5) = 0) | (in(v1, v3) = 0 & in(v0, v2) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v1, v2) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ (subset(v3, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (cartesian_product2(v2, v1) = v8 & cartesian_product2(v2, v0) = v7 & subset(v7, v8) = v9 & subset(v0, v1) = v6 & ( ~ (v6 = 0) | (v9 = 0 & v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ (in(v5, v1) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & relation(v1) = v6) | (in(v5, v2) = v7 & in(v4, v0) = v6 & ( ~ (v6 = 0) | v7 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom(v3) = v4) |  ~ (relation_dom_restriction(v2, v1) = v3) |  ~ (in(v0, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (relation_dom(v2) = v8 & relation(v2) = v6 & in(v0, v8) = v9 & in(v0, v1) = v7 & ( ~ (v6 = 0) | (( ~ (v9 = 0) |  ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v9 = 0 & v7 = 0)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom(v3) = v4) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ~ (in(v1, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (relation_dom(v2) = v8 & relation(v2) = v6 & function(v2) = v7 & in(v1, v8) = v9 & in(v1, v0) = v10 & ( ~ (v7 = 0) |  ~ (v6 = 0) | (( ~ (v10 = 0) |  ~ (v9 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v10 = 0 & v9 = 0)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ (relation(v0) = 0) |  ~ (in(v5, v0) = 0) |  ? [v6] :  ? [v7] : (in(v5, v2) = v7 & in(v3, v1) = v6 & ( ~ (v6 = 0) | v7 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 | v4 = v1 | v4 = v0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v4, v3) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 | v0 = empty_set |  ~ (set_meet(v0) = v1) |  ~ (in(v2, v3) = v4) |  ~ (in(v2, v1) = 0) |  ? [v5] : ( ~ (v5 = 0) & in(v3, v0) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (meet_of_subsets(v0, v1) = v3) |  ~ (element(v3, v2) = v4) |  ~ (powerset(v0) = v2) |  ? [v5] :  ? [v6] : ( ~ (v6 = 0) & element(v1, v5) = v6 & powerset(v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (union_of_subsets(v0, v1) = v3) |  ~ (element(v3, v2) = v4) |  ~ (powerset(v0) = v2) |  ? [v5] :  ? [v6] : ( ~ (v6 = 0) & element(v1, v5) = v6 & powerset(v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subset_complement(v0, v1) = v3) |  ~ (element(v3, v2) = v4) |  ~ (powerset(v0) = v2) |  ? [v5] : ( ~ (v5 = 0) & element(v1, v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_rng(v2) = v3) |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (subset(v3, v0) = v4) |  ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_rng(v1) = v3) |  ~ (relation_image(v1, v0) = v2) |  ~ (subset(v2, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_rng(v0) = v2) |  ~ (cartesian_product2(v1, v2) = v3) |  ~ (relation_dom(v0) = v1) |  ~ (subset(v0, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & relation(v0) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (element(v1, v3) = 0) |  ~ (element(v0, v2) = v4) |  ~ (powerset(v2) = v3) |  ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (element(v1, v2) = 0) |  ~ (powerset(v0) = v2) |  ~ (in(v3, v0) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v3, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (is_reflexive_in(v0, v1) = 0) |  ~ (ordered_pair(v2, v2) = v3) |  ~ (relation(v0) = 0) |  ~ (in(v3, v0) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v2, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v2, v3) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v1, v3) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v0, v3) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_inverse_image(v1, v2) = v3) |  ~ (relation_image(v1, v0) = v2) |  ~ (subset(v0, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v1) = v6 & subset(v0, v6) = v7 & relation(v1) = v5 & ( ~ (v7 = 0) |  ~ (v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_inverse_image(v1, v0) = v2) |  ~ (relation_dom(v1) = v3) |  ~ (subset(v2, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_inverse_image(v1, v0) = v2) |  ~ (relation_image(v1, v2) = v3) |  ~ (subset(v3, v0) = v4) |  ? [v5] :  ? [v6] : (relation(v1) = v5 & function(v1) = v6 & ( ~ (v6 = 0) |  ~ (v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subset(v3, v2) = v4) |  ~ (unordered_pair(v0, v1) = v3) |  ? [v5] :  ? [v6] : (in(v1, v2) = v6 & in(v0, v2) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subset(v3, v1) = v4) |  ~ (set_union2(v0, v2) = v3) |  ? [v5] :  ? [v6] : (subset(v2, v1) = v6 & subset(v0, v1) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subset(v0, v3) = v4) |  ~ (set_intersection2(v1, v2) = v3) |  ? [v5] :  ? [v6] : (subset(v0, v2) = v6 & subset(v0, v1) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v2) = v3) |  ~ (relation(v1) = 0) |  ~ (in(v3, v1) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v2, v0) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (set_union2(v0, v1) = v2) |  ~ (in(v3, v0) = v4) |  ? [v5] :  ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | v6 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (is_antisymmetric_in(v0, v1) = 0) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v0) = 0) |  ~ (in(v4, v0) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (ordered_pair(v3, v2) = v7 & in(v7, v0) = v8 & in(v3, v1) = v6 & in(v2, v1) = v5 & ( ~ (v8 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (in(v4, v1) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (fiber(v0, v1) = v2) |  ~ (ordered_pair(v3, v1) = v4) |  ~ (relation(v0) = 0) |  ~ (in(v4, v0) = 0) | in(v3, v2) = 0) &  ! [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] : (v3 = 0 |  ~ (union(v0) = v1) |  ~ (in(v2, v4) = 0) |  ~ (in(v2, v1) = v3) |  ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = v5)) &  ! [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 = v0 |  ~ (unordered_triple(v4, v3, v2) = v1) |  ~ (unordered_triple(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] :  ? [v9] : (union_of_subsets(v0, v8) = v9 & complements_of_subsets(v0, v1) = v8 & element(v1, v6) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & ( ~ (v7 = 0) | v9 = v4))) &  ! [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] :  ? [v9] : (meet_of_subsets(v0, v8) = v9 & complements_of_subsets(v0, v1) = v8 & element(v1, v6) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & ( ~ (v7 = 0) | v9 = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (function_inverse(v1) = v2) |  ~ (relation_composition(v2, v1) = v3) |  ~ (apply(v3, v0) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (relation_rng(v1) = v8 & apply(v2, v0) = v10 & apply(v1, v10) = v11 & one_to_one(v1) = v7 & relation(v1) = v5 & function(v1) = v6 & in(v0, v8) = v9 & ( ~ (v9 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) | (v11 = v0 & v4 = v0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_composition(v2, v1) = v3) |  ~ (relation_dom(v3) = v4) |  ~ (function(v1) = 0) |  ~ (in(v0, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (( ~ (v5 = 0) & relation(v1) = v5) | (apply(v3, v0) = v7 & apply(v2, v0) = v8 & apply(v1, v8) = v9 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v9 = v7)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_inverse(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (in(v4, v1) = 0) |  ? [v5] :  ? [v6] : ((v6 = 0 & ordered_pair(v3, v2) = v5 & in(v5, v0) = 0) | ( ~ (v5 = 0) & relation(v0) = v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_restriction(v2, v1) = v3) |  ~ (relation_field(v3) = v4) |  ~ (in(v0, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (relation_field(v2) = v6 & relation(v2) = v5 & in(v0, v6) = v7 & in(v0, v1) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_restriction(v2, v1) = v3) |  ~ (in(v0, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (cartesian_product2(v1, v1) = v7 & relation(v2) = v5 & in(v0, v7) = v8 & in(v0, v2) = v6 & ( ~ (v5 = 0) | (( ~ (v8 = 0) |  ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | (v8 = 0 & v6 = 0)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v0, v1) = v2) |  ~ (in(v3, v0) = v4) |  ? [v5] :  ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v4 = 0 &  ~ (v6 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (fiber(v0, v1) = v2) |  ~ (ordered_pair(v1, v1) = v3) |  ~ (relation(v0) = 0) |  ~ (in(v3, v0) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v1, v2) = v5)) &  ! [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] : ( ~ (relation_inverse_image(v2, v1) = v3) |  ~ (in(v0, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (relation_rng(v2) = v6 & relation(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | (v11 = 0 & v10 = 0 & v8 = 0 & ordered_pair(v0, v7) = v9 & in(v9, v2) = 0 & in(v7, v6) = 0 & in(v7, v1) = 0)) & (v4 = 0 |  ! [v12] : ( ~ (in(v12, v6) = 0) |  ? [v13] :  ? [v14] :  ? [v15] : (ordered_pair(v0, v12) = v13 & in(v13, v2) = v14 & in(v12, v1) = v15 & ( ~ (v15 = 0) |  ~ (v14 = 0))))))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng_restriction(v0, v3) = v4) |  ~ (relation_dom_restriction(v2, v1) = v3) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_rng_restriction(v0, v2) = v6 & relation_dom_restriction(v6, v1) = v7 & relation(v2) = v5 & ( ~ (v5 = 0) | v7 = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ~ (in(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (apply(v3, v1) = v7 & apply(v2, v1) = v8 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v8 = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v1) = v2) |  ~ (relation_image(v1, v3) = v4) |  ~ (set_intersection2(v2, v0) = v3) |  ? [v5] :  ? [v6] : (relation_image(v1, v0) = v6 & relation(v1) = v5 & ( ~ (v5 = 0) | v6 = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_image(v2, v1) = v3) |  ~ (in(v0, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (relation_dom(v2) = v6 & relation(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | (v11 = 0 & v10 = 0 & v8 = 0 & ordered_pair(v7, v0) = v9 & in(v9, v2) = 0 & in(v7, v6) = 0 & in(v7, v1) = 0)) & (v4 = 0 |  ! [v12] : ( ~ (in(v12, v6) = 0) |  ? [v13] :  ? [v14] :  ? [v15] : (ordered_pair(v12, v0) = v13 & in(v13, v2) = v14 & in(v12, v1) = v15 & ( ~ (v15 = 0) |  ~ (v14 = 0))))))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v3, v1) = v4) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (apply(v2, v1) = v8 & relation(v2) = v5 & function(v2) = v6 & in(v1, v0) = v7 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) | v8 = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (subset(v0, v1) = 0) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v0) = 0) |  ~ (in(v4, v0) = 0) |  ? [v5] : ((v5 = 0 & in(v4, v1) = 0) | ( ~ (v5 = 0) & relation(v1) = v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (in(v4, v1) = 0) | in(v2, v0) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (ordered_pair(v0, v1) = v3) |  ~ (in(v3, v2) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (relation_dom(v2) = v7 & apply(v2, v0) = v9 & relation(v2) = v5 & function(v2) = v6 & in(v0, v7) = v8 & ( ~ (v6 = 0) |  ~ (v5 = 0) | (( ~ (v9 = v1) |  ~ (v8 = 0) | v4 = 0) & ( ~ (v4 = 0) | (v9 = v1 & v8 = 0)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ (in(v3, v0) = v4) |  ? [v5] :  ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v6 = 0 & v4 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_union2(v0, v1) = v2) |  ~ (in(v3, v0) = v4) |  ? [v5] :  ? [v6] : (in(v3, v2) = v6 & in(v3, v1) = v5 & (v6 = 0 | ( ~ (v5 = 0) &  ~ (v4 = 0))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v0 |  ~ (unordered_triple(v1, v2, v3) = v4) |  ? [v5] :  ? [v6] : (in(v5, v0) = v6 & ( ~ (v6 = 0) | ( ~ (v5 = v3) &  ~ (v5 = v2) &  ~ (v5 = v1))) & (v6 = 0 | v5 = v3 | v5 = v2 | v5 = v1))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (relation_composition(v0, v1) = v2) |  ~ (relation(v3) = 0) |  ~ (relation(v0) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (( ~ (v4 = 0) & relation(v1) = v4) | (ordered_pair(v4, v5) = v6 & in(v6, v3) = v7 & ( ~ (v7 = 0) |  ! [v13] :  ! [v14] : ( ~ (ordered_pair(v4, v13) = v14) |  ~ (in(v14, v0) = 0) |  ? [v15] :  ? [v16] : ( ~ (v16 = 0) & ordered_pair(v13, v5) = v15 & in(v15, v1) = v16))) & (v7 = 0 | (v12 = 0 & v10 = 0 & ordered_pair(v8, v5) = v11 & ordered_pair(v4, v8) = v9 & in(v11, v1) = 0 & in(v9, v0) = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (relation(v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (( ~ (v4 = 0) & relation(v1) = v4) | (ordered_pair(v4, v5) = v6 & in(v6, v3) = v7 & in(v6, v1) = v9 & in(v5, v0) = v8 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0)) & (v7 = 0 | (v9 = 0 & v8 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (relation_dom_restriction(v0, v1) = v3) |  ~ (relation(v2) = 0) |  ~ (relation(v0) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (ordered_pair(v4, v5) = v6 & in(v6, v2) = v7 & in(v6, v0) = v9 & in(v4, v1) = v8 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0)) & (v7 = 0 | (v9 = 0 & v8 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 | v3 = v0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ (in(v3, v2) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (subset_complement(v0, v2) = v3) |  ~ (subset_complement(v0, v1) = v2) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & element(v1, v4) = v5 & powerset(v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (singleton(v0) = v2) |  ~ (set_union2(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (apply(v2, v1) = v3) |  ~ (identity_relation(v0) = v2) |  ? [v4] : ( ~ (v4 = 0) & in(v1, v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v0, v2) = v3) |  ~ (singleton(v1) = v2) | in(v1, v0) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (relation_inverse_image(v1, v0) = v2) |  ~ (relation_image(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_rng(v1) = v6 & subset(v0, v6) = v7 & relation(v1) = v4 & function(v1) = v5 & ( ~ (v7 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 | v0 = empty_set |  ~ (set_meet(v0) = v1) |  ~ (in(v2, v1) = v3) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = 0 & in(v2, v4) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (being_limit_ordinal(v0) = 0) |  ~ (succ(v1) = v2) |  ~ (in(v2, v0) = v3) |  ? [v4] :  ? [v5] : (( ~ (v4 = 0) & ordinal(v0) = v4) | (ordinal(v1) = v4 & in(v1, v0) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (set_difference(v0, v1) = v2) |  ~ (subset(v2, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (union(v1) = v2) |  ~ (subset(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (cast_to_subset(v0) = v1) |  ~ (element(v1, v2) = v3) |  ~ (powerset(v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (disjoint(v2, v1) = v3) |  ~ (singleton(v0) = v2) | in(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (disjoint(v1, v2) = 0) |  ~ (disjoint(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (element(v0, v2) = v3) |  ~ (powerset(v1) = v2) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & in(v4, v1) = v5 & in(v4, v0) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (element(v0, v2) = v3) |  ~ (powerset(v1) = v2) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (powerset(v0) = v1) |  ~ (subset(v2, v0) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v2, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (singleton(v0) = v2) |  ~ (subset(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (subset(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_dom_restriction(v1, v0) = v2) |  ~ (subset(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v2, v0) = v3) |  ~ (set_intersection2(v0, v1) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v0, v2) = v3) |  ~ (subset(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & subset(v1, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v0, v2) = v3) |  ~ (set_union2(v0, v1) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ (in(v1, v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ (in(v0, v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (antisymmetric(v0) = 0) |  ~ (ordered_pair(v1, v2) = v3) |  ~ (in(v3, v0) = 0) |  ? [v4] :  ? [v5] : (( ~ (v5 = 0) & ordered_pair(v2, v1) = v4 & in(v4, v0) = v5) | ( ~ (v4 = 0) & relation(v0) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (are_equipotent(v3, v2) = v1) |  ~ (are_equipotent(v3, v2) = v0)) &  ! [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 |  ~ (relation_composition(v3, v2) = v1) |  ~ (relation_composition(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_restriction(v3, v2) = v1) |  ~ (relation_restriction(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (well_orders(v3, v2) = v1) |  ~ (well_orders(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 |  ~ (is_well_founded_in(v3, v2) = v1) |  ~ (is_well_founded_in(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 |  ~ (disjoint(v3, v2) = v1) |  ~ (disjoint(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (element(v3, v2) = v1) |  ~ (element(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (fiber(v3, v2) = v1) |  ~ (fiber(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_reflexive_in(v3, v2) = v1) |  ~ (is_reflexive_in(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v1) = v3) |  ~ (singleton(v0) = v2) |  ~ (subset(v2, v3) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_transitive_in(v3, v2) = v1) |  ~ (is_transitive_in(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_connected_in(v3, v2) = v1) |  ~ (is_connected_in(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_inverse_image(v3, v2) = v1) |  ~ (relation_inverse_image(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_antisymmetric_in(v3, v2) = v1) |  ~ (is_antisymmetric_in(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_rng_restriction(v3, v2) = v1) |  ~ (relation_rng_restriction(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_image(v3, v2) = v1) |  ~ (relation_image(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (apply(v3, v2) = v1) |  ~ (apply(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_dom_restriction(v3, v2) = v1) |  ~ (relation_dom_restriction(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset(v3, v2) = v1) |  ~ (subset(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ordered_pair(v3, v2) = v1) |  ~ (ordered_pair(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ordinal_subset(v3, v2) = v1) |  ~ (ordinal_subset(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 = v0 |  ~ (proper_subset(v3, v2) = v1) |  ~ (proper_subset(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (in(v3, v2) = v1) |  ~ (in(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (element(v1, v3) = 0) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] : ( ~ (v4 = empty_set) & complements_of_subsets(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_composition(v2, v1) = v3) |  ~ (identity_relation(v0) = v2) |  ? [v4] :  ? [v5] : (relation_dom_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v1) = v2) |  ~ (set_intersection2(v2, v0) = v3) |  ? [v4] :  ? [v5] :  ? [v6] : (relation_rng(v5) = v6 & relation_rng_restriction(v0, v1) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v6 = v3))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v2) |  ~ (relation_dom(v0) = v1) |  ~ (set_union2(v1, v2) = v3) |  ? [v4] :  ? [v5] : (relation_field(v0) = v5 & relation(v0) = v4 & ( ~ (v4 = 0) | v5 = v3))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v1) |  ~ (relation_image(v2, v1) = v3) |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ (v4 = 0) & relation(v0) = v4) | (relation_composition(v0, v2) = v5 & relation_rng(v5) = v6 & relation(v2) = v4 & ( ~ (v4 = 0) | v6 = 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, v0) = 0) |  ? [v4] :  ? [v5] : (in(v3, v2) = v5 & in(v3, v1) = v4 & (v5 = 0 | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v1, v1) = v2) |  ~ (set_intersection2(v0, v2) = v3) |  ~ (relation(v0) = 0) | relation_restriction(v0, v1) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v1) = v2) |  ~ (in(v3, v2) = 0) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v5) = v3 & in(v5, v1) = 0 & in(v4, v0) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v3, v2) = 0) |  ~ (element(v1, v2) = 0) |  ~ (powerset(v0) = v2) |  ? [v4] :  ? [v5] :  ? [v6] : (subset_complement(v0, v3) = v5 & disjoint(v1, v3) = v4 & subset(v1, v5) = v6 & ( ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | v6 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ~ (powerset(v0) = v3) |  ? [v4] : (subset_difference(v0, v1, v2) = v4 & set_difference(v1, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v2, v3) = 0) |  ~ (powerset(v0) = v3) |  ~ (in(v1, v2) = 0) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & subset_complement(v0, v2) = v4 & in(v1, v4) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v1, v3) = 0) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] : (meet_of_subsets(v0, v1) = v4 & set_meet(v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v1, v3) = 0) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] : (union_of_subsets(v0, v1) = v4 & union(v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v1, v3) = 0) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] : (complements_of_subsets(v0, v4) = v1 & complements_of_subsets(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v1, v3) = 0) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] : (complements_of_subsets(v0, v1) = v4 &  ! [v5] : (v5 = v4 |  ~ (element(v5, v3) = 0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (subset_complement(v0, v6) = v8 & element(v6, v2) = 0 & in(v8, v1) = v9 & in(v6, v5) = v7 & ( ~ (v9 = 0) |  ~ (v7 = 0)) & (v9 = 0 | v7 = 0))) &  ! [v5] : ( ~ (element(v5, v2) = 0) |  ~ (element(v4, v3) = 0) |  ? [v6] :  ? [v7] :  ? [v8] : (subset_complement(v0, v5) = v7 & in(v7, v1) = v8 & in(v5, v4) = v6 & ( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v1, v3) = 0) |  ~ (powerset(v2) = v3) |  ~ (in(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (succ(v0) = v1) |  ~ (ordinal_subset(v1, v2) = v3) |  ? [v4] :  ? [v5] : (( ~ (v4 = 0) & ordinal(v0) = v4) | (ordinal(v2) = v4 & in(v0, v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v3 = 0) & ( ~ (v3 = 0) | v5 = 0)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_inverse_image(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ~ (in(v3, v2) = 0) |  ? [v4] :  ? [v5] : (ordered_pair(v3, v4) = v5 & in(v5, v0) = 0 & in(v4, v1) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_restriction(v0, v2) = v3) |  ~ (relation_dom_restriction(v1, v0) = v2) |  ? [v4] :  ? [v5] : (relation_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ? [v4] :  ? [v5] : (relation_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom(v1) = v2) |  ~ (set_intersection2(v2, v0) = v3) |  ? [v4] :  ? [v5] :  ? [v6] : (relation_dom(v5) = v6 & relation_dom_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v6 = v3))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom(v1) = v2) |  ~ (in(v0, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] : (apply(v1, v0) = v6 & relation(v1) = v4 & function(v1) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (v3 = 0) |  ~ (relation_composition(v1, v7) = v8) |  ~ (apply(v8, v0) = v9) |  ? [v10] :  ? [v11] :  ? [v12] : (apply(v7, v6) = v12 & relation(v7) = v10 & function(v7) = v11 & ( ~ (v11 = 0) |  ~ (v10 = 0) | v12 = v9)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_image(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ~ (in(v3, v2) = 0) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v3) = v5 & in(v5, v0) = 0 & in(v4, v1) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset(v3, v2) = 0) |  ~ (unordered_pair(v0, v1) = v3) | (in(v1, v2) = 0 & in(v0, v2) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ (in(v3, v0) = 0) |  ? [v4] :  ? [v5] : (in(v3, v2) = v5 & in(v3, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v7 = 0) & (v5 = 0 | (v6 = 0 &  ~ (v7 = 0))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (cartesian_product2(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (in(v4, v0) = v5 & ( ~ (v5 = 0) |  ! [v11] :  ! [v12] : ( ~ (ordered_pair(v11, v12) = v4) |  ? [v13] :  ? [v14] : (in(v12, v2) = v14 & in(v11, v1) = v13 & ( ~ (v14 = 0) |  ~ (v13 = 0))))) & (v5 = 0 | (v10 = v4 & v9 = 0 & v8 = 0 & ordered_pair(v6, v7) = v4 & in(v7, v2) = 0 & in(v6, v1) = 0)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (fiber(v1, v2) = v3) |  ~ (relation(v1) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (ordered_pair(v4, v2) = v6 & in(v6, v1) = v7 & in(v4, v0) = v5 & ( ~ (v7 = 0) |  ~ (v5 = 0) | v4 = v2) & (v5 = 0 | (v7 = 0 &  ~ (v4 = v2))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (relation_inverse_image(v1, v2) = v3) |  ~ (relation(v1) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (in(v4, v0) = v5 & ( ~ (v5 = 0) |  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v4, v10) = v11) |  ~ (in(v11, v1) = 0) |  ? [v12] : ( ~ (v12 = 0) & in(v10, v2) = v12))) & (v5 = 0 | (v9 = 0 & v8 = 0 & ordered_pair(v4, v6) = v7 & in(v7, v1) = 0 & in(v6, v2) = 0)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (relation_image(v1, v2) = v3) |  ~ (relation(v1) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (in(v4, v0) = v5 & ( ~ (v5 = 0) |  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v10, v4) = v11) |  ~ (in(v11, v1) = 0) |  ? [v12] : ( ~ (v12 = 0) & in(v10, v2) = v12))) & (v5 = 0 | (v9 = 0 & v8 = 0 & ordered_pair(v6, v4) = v7 & in(v7, v1) = 0 & in(v6, v2) = 0)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_intersection2(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0)) & (v5 = 0 | (v7 = 0 & v6 = 0)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_union2(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v5 = 0) | ( ~ (v7 = 0) &  ~ (v6 = 0))) & (v7 = 0 | v6 = 0 | v5 = 0))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (unordered_pair(v1, v2) = v3) |  ? [v4] :  ? [v5] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ( ~ (v4 = v2) &  ~ (v4 = v1))) & (v5 = 0 | v4 = v2 | v4 = v1))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (relation_inverse(v0) = v1) |  ~ (relation(v2) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v3 = 0) & relation(v0) = v3) | (ordered_pair(v4, v3) = v7 & ordered_pair(v3, v4) = v5 & in(v7, v0) = v8 & in(v5, v2) = v6 & ( ~ (v8 = 0) |  ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (identity_relation(v0) = v2) |  ~ (relation(v1) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (ordered_pair(v3, v4) = v5 & in(v5, v1) = v6 & in(v3, v0) = v7 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v4 = v3)) & (v6 = 0 | (v7 = 0 & v4 = v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (set_union2(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (epsilon_connected(v0) = 0) |  ~ (in(v2, v0) = 0) |  ~ (in(v1, v0) = 0) |  ? [v3] :  ? [v4] : (in(v2, v1) = v4 & in(v1, v2) = v3 & (v4 = 0 | v3 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v0 = empty_set |  ~ (singleton(v1) = v2) |  ~ (subset(v0, v2) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v0) = v1) |  ~ (in(v2, v1) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (set_intersection2(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (set_difference(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (is_well_founded_in(v0, v1) = 0) |  ~ (subset(v2, v1) = 0) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] : (disjoint(v4, v2) = 0 & fiber(v0, v3) = v4 & in(v3, v2) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (proper_subset(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (well_orders(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (is_well_founded_in(v0, v1) = v7 & is_reflexive_in(v0, v1) = v3 & is_transitive_in(v0, v1) = v4 & is_connected_in(v0, v1) = v6 & is_antisymmetric_in(v0, v1) = v5 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (is_well_founded_in(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] : ( ~ (v3 = empty_set) & subset(v3, v1) = 0 &  ! [v4] :  ! [v5] : ( ~ (disjoint(v5, v3) = 0) |  ~ (fiber(v0, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] :  ? [v4] : (set_intersection2(v0, v1) = v3 & in(v4, v3) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = v0) & set_difference(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = empty_set) & set_intersection2(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] : (in(v3, v1) = 0 & in(v3, v0) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (element(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (is_reflexive_in(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & ordered_pair(v3, v3) = v4 & in(v4, v0) = v5 & in(v3, v1) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (singleton(v1) = v0) |  ~ (subset(v0, v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (singleton(v0) = v1) |  ~ (subset(empty_set, v1) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (singleton(v0) = v1) |  ~ (in(v0, v1) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (succ(v0) = v1) |  ~ (in(v0, v1) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (is_transitive_in(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ( ~ (v9 = 0) & ordered_pair(v4, v5) = v7 & ordered_pair(v3, v5) = v8 & ordered_pair(v3, v4) = v6 & in(v8, v0) = v9 & in(v7, v0) = 0 & in(v6, v0) = 0 & in(v5, v1) = 0 & in(v4, v1) = 0 & in(v3, v1) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (is_connected_in(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (v8 = 0) &  ~ (v6 = 0) &  ~ (v4 = v3) & ordered_pair(v4, v3) = v7 & ordered_pair(v3, v4) = v5 & in(v7, v0) = v8 & in(v5, v0) = v6 & in(v4, v1) = 0 & in(v3, v1) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (is_antisymmetric_in(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v4 = v3) & ordered_pair(v4, v3) = v6 & ordered_pair(v3, v4) = v5 & in(v6, v0) = 0 & in(v5, v0) = 0 & in(v4, v1) = 0 & in(v3, v1) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (subset(v1, v0) = v2) |  ~ (epsilon_transitive(v0) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (subset(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : ((v6 = 0 &  ~ (v7 = 0) & ordered_pair(v3, v4) = v5 & in(v5, v1) = v7 & in(v5, v0) = 0) | ( ~ (v3 = 0) & relation(v1) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (subset(v0, v1) = v2) |  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (ordinal_subset(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (ordinal_subset(v1, v0) = v5 & ordinal(v1) = v4 & ordinal(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (ordinal_subset(v0, v0) = v2) |  ~ (ordinal(v1) = 0) |  ? [v3] : ( ~ (v3 = 0) & ordinal(v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (ordinal(v1) = 0) |  ~ (ordinal(v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_empty_yielding(v2) = v1) |  ~ (relation_empty_yielding(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (function_inverse(v2) = v1) |  ~ (function_inverse(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_inverse(v2) = v1) |  ~ (relation_inverse(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (being_limit_ordinal(v2) = v1) |  ~ (being_limit_ordinal(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_rng(v2) = v1) |  ~ (relation_rng(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (well_ordering(v2) = v1) |  ~ (well_ordering(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (reflexive(v2) = v1) |  ~ (reflexive(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 |  ~ (well_founded_relation(v2) = v1) |  ~ (well_founded_relation(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~ (powerset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (set_meet(v2) = v1) |  ~ (set_meet(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (singleton(v2) = v1) |  ~ (singleton(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (succ(v2) = v1) |  ~ (succ(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (transitive(v2) = v1) |  ~ (transitive(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (connected(v2) = v1) |  ~ (connected(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_field(v2) = v1) |  ~ (relation_field(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (antisymmetric(v2) = v1) |  ~ (antisymmetric(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_dom(v2) = v1) |  ~ (relation_dom(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (identity_relation(v2) = v1) |  ~ (identity_relation(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (one_to_one(v2) = v1) |  ~ (one_to_one(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation(v2) = v1) |  ~ (relation(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (epsilon_connected(v2) = v1) |  ~ (epsilon_connected(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (ordinal(v2) = v1) |  ~ (ordinal(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (epsilon_transitive(v2) = v1) |  ~ (epsilon_transitive(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (function(v2) = v1) |  ~ (function(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (empty(v2) = v1) |  ~ (empty(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v0 = empty_set |  ~ (relation_rng(v1) = v2) |  ~ (subset(v0, v2) = 0) |  ? [v3] :  ? [v4] : (relation_inverse_image(v1, v0) = v4 & relation(v1) = v3 & ( ~ (v4 = empty_set) |  ~ (v3 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v0 = empty_set |  ~ (element(v2, v1) = 0) |  ~ (powerset(v0) = v1) |  ? [v3] : (subset_complement(v0, v2) = v3 &  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (in(v4, v3) = v5) |  ? [v6] :  ? [v7] : (element(v4, v0) = v6 & in(v4, v2) = v7 & ( ~ (v6 = 0) | v7 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & empty(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (relation(v2) = v7 & relation(v1) = v5 & relation(v0) = v3 & function(v2) = v8 & function(v1) = v6 & function(v0) = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) | (v8 = 0 & v7 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & empty(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (reflexive(v2) = v5 & reflexive(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (well_founded_relation(v2) = v5 & well_founded_relation(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (transitive(v2) = v5 & transitive(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (connected(v2) = v5 & connected(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (antisymmetric(v2) = v5 & antisymmetric(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (well_orders(v0, v1) = v2) |  ~ (relation_field(v0) = v1) |  ? [v3] :  ? [v4] : (well_ordering(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng(v0) = v1) |  ~ (in(v2, v1) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : ((v5 = 0 & ordered_pair(v3, v2) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v2) = v0) |  ~ (singleton(v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v0) = v1) |  ~ (in(v2, v1) = 0) |  ? [v3] : (in(v3, v0) = 0 & in(v2, v3) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (is_well_founded_in(v0, v1) = v2) |  ~ (relation_field(v0) = v1) |  ? [v3] :  ? [v4] : (well_founded_relation(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (empty(v2) = v5 & empty(v1) = v4 & empty(v0) = v3 & ( ~ (v5 = 0) | v4 = 0 | v3 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (disjoint(v2, v1) = 0) |  ~ (singleton(v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (disjoint(v0, v1) = 0) |  ~ (in(v2, v0) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v2, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (element(v1, v2) = 0) |  ~ (powerset(v0) = v2) |  ? [v3] : (subset_complement(v0, v1) = v3 & set_difference(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (element(v1, v0) = v2) |  ? [v3] :  ? [v4] : (empty(v1) = v4 & empty(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (element(v1, v0) = v2) |  ? [v3] :  ? [v4] : (empty(v0) = v3 & in(v1, v0) = v4 & (v3 = 0 | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (element(v0, v2) = 0) |  ~ (powerset(v1) = v2) | subset(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ (subset(v2, v0) = 0) | in(v2, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (is_reflexive_in(v0, v1) = v2) |  ~ (relation_field(v0) = v1) |  ? [v3] :  ? [v4] : (reflexive(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ (subset(v2, v1) = 0) | in(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v1) |  ~ (set_union2(v0, v1) = v2) | succ(v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (is_transitive_in(v0, v1) = v2) |  ~ (relation_field(v0) = v1) |  ? [v3] :  ? [v4] : (transitive(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (is_connected_in(v0, v1) = v2) |  ~ (relation_field(v0) = v1) |  ? [v3] :  ? [v4] : (connected(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_field(v0) = v1) |  ~ (is_antisymmetric_in(v0, v1) = v2) |  ? [v3] :  ? [v4] : (antisymmetric(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation(v2) = v5 & relation(v1) = v3 & function(v2) = v6 & function(v1) = v4 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation(v2) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v0) = v1) |  ~ (relation_image(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation_rng(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = v2))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v0) = v1) |  ~ (in(v2, v1) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : ((v5 = 0 & ordered_pair(v2, v3) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation_empty_yielding(v2) = v6 & relation_empty_yielding(v0) = v4 & relation(v2) = v5 & relation(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation(v2) = v5 & relation(v0) = v3 & function(v2) = v6 & function(v0) = v4 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset(v0, v1) = 0) |  ~ (in(v2, v0) = 0) | in(v2, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (identity_relation(v0) = v2) |  ~ (function(v1) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v1) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = v0) | v2 = v1 | (v6 = 0 &  ~ (v7 = v5) & apply(v1, v5) = v7 & in(v5, v0) = 0)) & ( ~ (v2 = v1) | (v4 = v0 &  ! [v8] :  ! [v9] : (v9 = v8 |  ~ (apply(v1, v8) = v9) |  ? [v10] : ( ~ (v10 = 0) & in(v8, v0) = v10)))))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordinal_subset(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (subset(v0, v1) = v5 & ordinal(v1) = v4 & ordinal(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (( ~ (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | v5 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v1, v0) = v2) |  ? [v3] :  ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ? [v3] :  ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (in(v1, v2) = 0) |  ~ (in(v0, v1) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v2, v0) = v3)) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v1 = empty_set |  ~ (set_meet(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (in(v3, v0) = v4 & ( ~ (v4 = 0) | (v6 = 0 &  ~ (v7 = 0) & in(v5, v1) = 0 & in(v3, v5) = v7)) & (v4 = 0 |  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (in(v3, v8) = v9) |  ? [v10] : ( ~ (v10 = 0) & in(v8, v1) = v10))))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_rng(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) |  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v8, v3) = v9) |  ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v5, v3) = v6 & in(v6, v1) = 0))))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (union(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (in(v3, v0) = v4 & ( ~ (v4 = 0) |  ! [v8] : ( ~ (in(v3, v8) = 0) |  ? [v9] : ( ~ (v9 = 0) & in(v8, v1) = v9))) & (v4 = 0 | (v7 = 0 & v6 = 0 & in(v5, v1) = 0 & in(v3, v5) = 0)))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (powerset(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (subset(v3, v1) = v5 & in(v3, v0) = v4 & ( ~ (v5 = 0) |  ~ (v4 = 0)) & (v5 = 0 | v4 = 0))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v1) = v2) |  ? [v3] :  ? [v4] : (in(v3, v0) = v4 & ( ~ (v4 = 0) |  ~ (v3 = v1)) & (v4 = 0 | v3 = v1))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_dom(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) |  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v3, v8) = v9) |  ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v3, v5) = v6 & in(v6, v1) = 0))))) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_difference(v0, empty_set) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (cast_to_subset(v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (subset(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & subset(v1, v0) = v2)) &  ! [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 |  ~ (relation(v1) = 0) |  ~ (relation(v0) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (ordered_pair(v2, v3) = v4 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0)) & (v6 = 0 | v5 = 0))) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (ordinal(v1) = 0) |  ~ (ordinal(v0) = 0) |  ? [v2] :  ? [v3] : (in(v1, v0) = v3 & in(v0, v1) = v2 & (v3 = 0 | v2 = 0))) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (empty(v1) = 0) |  ~ (empty(v0) = 0)) &  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_difference(empty_set, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_intersection2(v0, empty_set) = v1)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (being_limit_ordinal(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ((v4 = 0 & v3 = 0 &  ~ (v6 = 0) & succ(v2) = v5 & ordinal(v2) = 0 & in(v5, v0) = v6 & in(v2, v0) = 0) | ( ~ (v2 = 0) & ordinal(v0) = v2))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (being_limit_ordinal(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : ((v4 = v0 & v3 = 0 & succ(v2) = v0 & ordinal(v2) = 0) | ( ~ (v2 = 0) & ordinal(v0) = v2))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (being_limit_ordinal(v0) = v1) |  ? [v2] : ( ~ (v2 = v0) & union(v0) = v2)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (transitive(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v8 = 0 & v6 = 0 &  ~ (v10 = 0) & ordered_pair(v3, v4) = v7 & ordered_pair(v2, v4) = v9 & ordered_pair(v2, v3) = v5 & in(v9, v0) = v10 & in(v7, v0) = 0 & in(v5, v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (antisymmetric(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = 0 & v5 = 0 &  ~ (v3 = v2) & ordered_pair(v3, v2) = v6 & ordered_pair(v2, v3) = v4 & in(v6, v0) = 0 & in(v4, v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (subset(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (subset(empty_set, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (relation(v0) = v1) |  ? [v2] : (in(v2, v0) = 0 &  ! [v3] :  ! [v4] :  ~ (ordered_pair(v3, v4) = v2))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (epsilon_connected(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v5 = 0) &  ~ (v4 = 0) &  ~ (v3 = v2) & in(v3, v2) = v5 & in(v3, v0) = 0 & in(v2, v3) = v4 & in(v2, v0) = 0)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (ordinal(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (subset(v2, v0) = v4 & ordinal(v2) = v3 & in(v2, v0) = 0 & ( ~ (v4 = 0) |  ~ (v3 = 0)))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (epsilon_transitive(v0) = v1) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & subset(v2, v0) = v3 & in(v2, v0) = 0)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (function(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & element(v3, v2) = 0 & powerset(v0) = v2 & empty(v3) = v4)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation_dom(v0) = v3 & relation(v0) = v2 & empty(v3) = v4 & ( ~ (v4 = 0) |  ~ (v2 = 0)))) &  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ( ~ (v3 = empty_set) &  ~ (v1 = empty_set))))) &  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ (subset(v0, v1) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : ((v4 = 0 & v3 = 0 & ordinal(v2) = 0 & in(v2, v0) = 0 &  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (ordinal_subset(v2, v5) = v6) |  ? [v7] :  ? [v8] : (ordinal(v5) = v7 & in(v5, v0) = v8 & ( ~ (v8 = 0) |  ~ (v7 = 0))))) | ( ~ (v2 = 0) & ordinal(v1) = v2))) &  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (relation_rng(v1) = v8 & relation_rng(v0) = v5 & relation_dom(v1) = v6 & relation_dom(v0) = v7 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | (v8 = v7 & v6 = v5)))) &  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation_rng(v0) = v5 & relation_dom(v0) = v6 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) |  ! [v7] : ( ~ (function(v7) = 0) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (relation_dom(v7) = v9 & relation(v7) = v8 & ( ~ (v8 = 0) | (( ~ (v9 = v5) | v7 = v1 | (apply(v7, v10) = v13 & apply(v0, v11) = v15 & in(v11, v6) = v14 & in(v10, v5) = v12 & ((v15 = v10 & v14 = 0 & ( ~ (v13 = v11) |  ~ (v12 = 0))) | (v13 = v11 & v12 = 0 & ( ~ (v15 = v10) |  ~ (v14 = 0)))))) & ( ~ (v7 = v1) | (v9 = v5 &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (in(v17, v6) = v18) |  ~ (in(v16, v5) = 0) |  ? [v19] :  ? [v20] : (apply(v1, v16) = v19 & apply(v0, v17) = v20 & ( ~ (v19 = v17) | (v20 = v16 & v18 = 0)))) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (in(v17, v6) = 0) |  ~ (in(v16, v5) = v18) |  ? [v19] :  ? [v20] : (apply(v1, v16) = v20 & apply(v0, v17) = v19 & ( ~ (v19 = v16) | (v20 = v17 & v18 = 0))))))))))))) &  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (relation_inverse(v0) = v5 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | v5 = v1))) &  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (one_to_one(v1) = v5 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | v5 = 0))) &  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (relation(v1) = v4 & relation(v0) = v2 & function(v1) = v5 & function(v0) = v3 & ( ~ (v3 = 0) |  ~ (v2 = 0) | (v5 = 0 & v4 = 0)))) &  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation_rng(v1) = v6 & relation_rng(v0) = v3 & relation_dom(v1) = v4 & relation_dom(v0) = v5 & relation(v0) = v2 & ( ~ (v2 = 0) | (v6 = v5 & v4 = v3)))) &  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (one_to_one(v0) = v4 & relation(v1) = v5 & relation(v0) = v2 & function(v1) = v6 & function(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | (v6 = 0 & v5 = 0)))) &  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0)))) &  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] : (relation_inverse(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = v0))) &  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] : (relation(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) &  ! [v0] :  ! [v1] : ( ~ (being_limit_ordinal(v0) = 0) |  ~ (succ(v1) = v0) |  ? [v2] : (( ~ (v2 = 0) & ordinal(v1) = v2) | ( ~ (v2 = 0) & ordinal(v0) = v2))) &  ! [v0] :  ! [v1] : ( ~ (well_orders(v0, v1) = 0) |  ~ (relation(v0) = 0) | (is_well_founded_in(v0, v1) = 0 & is_reflexive_in(v0, v1) = 0 & is_transitive_in(v0, v1) = 0 & is_connected_in(v0, v1) = 0 & is_antisymmetric_in(v0, v1) = 0)) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0)))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v0) = v3 & empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v2 = 0))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_rng(v4) = v5) |  ~ (subset(v1, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (relation_dom(v4) = v9 & subset(v3, v9) = v10 & subset(v0, v4) = v8 & relation(v4) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0) | (v10 = 0 & v6 = 0))))))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] : ( ~ (relation_rng(v4) = v5) |  ~ (subset(v3, v5) = 0) |  ? [v6] :  ? [v7] :  ? [v8] : (relation_composition(v4, v0) = v7 & relation_rng(v7) = v8 & relation(v4) = v6 & ( ~ (v6 = 0) | v8 = v1)))))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] : ( ~ (relation_dom(v4) = v5) |  ~ (subset(v1, v5) = 0) |  ? [v6] :  ? [v7] :  ? [v8] : (relation_composition(v0, v4) = v7 & relation_dom(v7) = v8 & relation(v4) = v6 & ( ~ (v6 = 0) | v8 = v3)))))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v3 = empty_set) | v1 = empty_set) & ( ~ (v1 = empty_set) | v3 = empty_set))))) &  ! [v0] :  ! [v1] : ( ~ (set_difference(v0, v1) = empty_set) | subset(v0, v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (well_ordering(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (reflexive(v0) = v3 & well_founded_relation(v0) = v7 & transitive(v0) = v4 & connected(v0) = v6 & antisymmetric(v0) = v5 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) | v1 = 0) & ( ~ (v1 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0)))))) &  ! [v0] :  ! [v1] : ( ~ (reflexive(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) |  ! [v8] : ( ~ (in(v8, v3) = 0) |  ? [v9] : (ordered_pair(v8, v8) = v9 & in(v9, v0) = 0))) & (v1 = 0 | (v5 = 0 &  ~ (v7 = 0) & ordered_pair(v4, v4) = v6 & in(v6, v0) = v7 & in(v4, v3) = 0)))))) &  ! [v0] :  ! [v1] : ( ~ (union(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (epsilon_connected(v1) = v4 & ordinal(v1) = v5 & ordinal(v0) = v2 & epsilon_transitive(v1) = v3 & ( ~ (v2 = 0) | (v5 = 0 & v4 = 0 & v3 = 0)))) &  ! [v0] :  ! [v1] : ( ~ (well_founded_relation(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) |  ! [v6] : (v6 = empty_set |  ~ (subset(v6, v3) = 0) |  ? [v7] :  ? [v8] : (disjoint(v8, v6) = 0 & fiber(v0, v7) = v8 & in(v7, v6) = 0))) & (v1 = 0 | (v5 = 0 &  ~ (v4 = empty_set) & subset(v4, v3) = 0 &  ! [v6] :  ! [v7] : ( ~ (disjoint(v7, v4) = 0) |  ~ (fiber(v0, v6) = v7) |  ? [v8] : ( ~ (v8 = 0) & in(v6, v4) = v8)))))))) &  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_difference(v0, v1) = v0) &  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) | disjoint(v1, v0) = 0) &  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_intersection2(v0, v1) = empty_set) &  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) |  ? [v2] : (set_intersection2(v0, v1) = v2 &  ! [v3] :  ~ (in(v3, v2) = 0))) &  ! [v0] :  ! [v1] : ( ~ (element(v0, v1) = 0) |  ? [v2] :  ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0))) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | union(v1) = v0) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (element(v2, v1) = 0 & empty(v2) = 0)) &  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (epsilon_connected(v1) = v5 & ordinal(v1) = v6 & ordinal(v0) = v2 & epsilon_transitive(v1) = v4 & empty(v1) = v3 & ( ~ (v2 = 0) | (v6 = 0 & v5 = 0 & v4 = 0 &  ~ (v3 = 0))))) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) &  ! [v0] :  ! [v1] : ( ~ (connected(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) |  ! [v12] :  ! [v13] : (v13 = v12 |  ~ (in(v13, v3) = 0) |  ~ (in(v12, v3) = 0) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (ordered_pair(v13, v12) = v16 & ordered_pair(v12, v13) = v14 & in(v16, v0) = v17 & in(v14, v0) = v15 & (v17 = 0 | v15 = 0)))) & (v1 = 0 | (v7 = 0 & v6 = 0 &  ~ (v11 = 0) &  ~ (v9 = 0) &  ~ (v5 = v4) & ordered_pair(v5, v4) = v10 & ordered_pair(v4, v5) = v8 & in(v10, v0) = v11 & in(v8, v0) = v9 & in(v5, v3) = 0 & in(v4, v3) = 0)))))) &  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_rng(v1) = v0) &  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_dom(v1) = v0) &  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation(v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | function(v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (unordered_pair(v0, v0) = v1) | singleton(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (one_to_one(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v3 = 0) |  ~ (v2 = 0) | (( ~ (v1 = 0) |  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (in(v12, v4) = 0) |  ~ (in(v11, v4) = 0) |  ? [v13] :  ? [v14] : ( ~ (v14 = v13) & apply(v0, v12) = v14 & apply(v0, v11) = v13))) & (v1 = 0 | (v10 = v9 & v8 = 0 & v7 = 0 &  ~ (v6 = v5) & apply(v0, v6) = v9 & apply(v0, v5) = v9 & in(v6, v4) = 0 & in(v5, v4) = 0)))))) &  ! [v0] :  ! [v1] : ( ~ (one_to_one(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v0) = v2 & function(v0) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | v1 = 0))) &  ! [v0] :  ! [v1] : ( ~ (relation(v0) = 0) |  ~ (in(v1, v0) = 0) |  ? [v2] :  ? [v3] : ordered_pair(v2, v3) = v1) &  ! [v0] :  ! [v1] : ( ~ (epsilon_connected(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (ordinal(v0) = v4 & epsilon_transitive(v0) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0 & v1 = 0)))) &  ! [v0] :  ! [v1] : ( ~ (epsilon_connected(v0) = v1) |  ? [v2] :  ? [v3] : (ordinal(v0) = v2 & epsilon_transitive(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0)))) &  ! [v0] :  ! [v1] : ( ~ (epsilon_transitive(v0) = 0) |  ~ (proper_subset(v0, v1) = 0) |  ? [v2] :  ? [v3] : (ordinal(v1) = v2 & in(v0, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) &  ! [v0] :  ! [v1] : ( ~ (proper_subset(v1, v0) = 0) |  ? [v2] : ( ~ (v2 = 0) & subset(v0, v1) = v2)) &  ! [v0] :  ! [v1] : ( ~ (proper_subset(v0, v1) = 0) | subset(v0, v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (proper_subset(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & proper_subset(v1, v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) &  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : (in(v2, v1) = 0 &  ! [v3] : ( ~ (in(v3, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & in(v3, v2) = v4)))) &  ? [v0] :  ! [v1] : ( ~ (function(v1) = 0) |  ? [v2] :  ? [v3] : (relation_dom(v1) = v3 & relation(v1) = v2 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_composition(v4, v1) = v5) |  ~ (relation_dom(v5) = v6) |  ~ (in(v0, v6) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : (relation_dom(v4) = v10 & apply(v4, v0) = v12 & relation(v4) = v8 & function(v4) = v9 & in(v12, v3) = v13 & in(v0, v10) = v11 & ( ~ (v9 = 0) |  ~ (v8 = 0) | (( ~ (v13 = 0) |  ~ (v11 = 0) | v7 = 0) & ( ~ (v7 = 0) | (v13 = 0 & v11 = 0))))))))) &  ? [v0] :  ! [v1] : ( ~ (function(v1) = 0) |  ? [v2] :  ? [v3] : (relation_dom(v1) = v3 & relation(v1) = v2 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_dom(v4) = v5) |  ~ (set_intersection2(v5, v0) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : (relation_dom_restriction(v4, v0) = v9 & relation(v4) = v7 & function(v4) = v8 & ( ~ (v8 = 0) |  ~ (v7 = 0) | (( ~ (v9 = v1) | (v6 = v3 &  ! [v14] : ( ~ (in(v14, v3) = 0) |  ? [v15] : (apply(v4, v14) = v15 & apply(v1, v14) = v15)))) & ( ~ (v6 = v3) | v9 = v1 | (v11 = 0 &  ~ (v13 = v12) & apply(v4, v10) = v13 & apply(v1, v10) = v12 & in(v10, v3) = 0))))))))) &  ! [v0] : (v0 = empty_set |  ~ (set_meet(empty_set) = v0)) &  ! [v0] : (v0 = empty_set |  ~ (subset(v0, empty_set) = 0)) &  ! [v0] : (v0 = empty_set |  ~ (relation(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (ordered_pair(v1, v2) = v3 & in(v3, v0) = 0)) &  ! [v0] : (v0 = empty_set |  ~ (empty(v0) = 0)) &  ! [v0] : ( ~ (being_limit_ordinal(v0) = 0) | union(v0) = v0) &  ! [v0] :  ~ (singleton(v0) = empty_set) &  ! [v0] : ( ~ (epsilon_connected(v0) = 0) |  ? [v1] :  ? [v2] : (ordinal(v0) = v2 & epsilon_transitive(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) &  ! [v0] : ( ~ (function(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (relation_rng(v0) = v2 & relation_dom(v0) = v3 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v4] :  ! [v5] :  ! [v6] : (v5 = 0 |  ~ (in(v6, v3) = 0) |  ~ (in(v4, v2) = v5) |  ? [v7] : ( ~ (v7 = v4) & apply(v0, v6) = v7)) &  ! [v4] : ( ~ (in(v4, v2) = 0) |  ? [v5] : (apply(v0, v5) = v4 & in(v5, v3) = 0)) &  ? [v4] : (v4 = v2 |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (in(v5, v4) = v6 & ( ~ (v6 = 0) |  ! [v10] : ( ~ (in(v10, v3) = 0) |  ? [v11] : ( ~ (v11 = v5) & apply(v0, v10) = v11))) & (v6 = 0 | (v9 = v5 & v8 = 0 & apply(v0, v7) = v5 & in(v7, v3) = 0)))))))) &  ! [v0] : ( ~ (function(v0) = 0) |  ? [v1] :  ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v6 = 0 |  ~ (relation_image(v0, v3) = v4) |  ~ (in(v7, v2) = 0) |  ~ (in(v5, v4) = v6) |  ? [v8] :  ? [v9] : (apply(v0, v7) = v9 & in(v7, v3) = v8 & ( ~ (v9 = v5) |  ~ (v8 = 0)))) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_image(v0, v3) = v4) |  ~ (in(v5, v4) = 0) |  ? [v6] : (apply(v0, v6) = v5 & in(v6, v3) = 0 & in(v6, v2) = 0)) &  ? [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (relation_image(v0, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (in(v6, v3) = v7 & ( ~ (v7 = 0) |  ! [v12] : ( ~ (in(v12, v2) = 0) |  ? [v13] :  ? [v14] : (apply(v0, v12) = v14 & in(v12, v4) = v13 & ( ~ (v14 = v6) |  ~ (v13 = 0))))) & (v7 = 0 | (v11 = v6 & v10 = 0 & v9 = 0 & apply(v0, v8) = v6 & in(v8, v4) = 0 & in(v8, v2) = 0)))))))) &  ! [v0] : ( ~ (function(v0) = 0) |  ? [v1] :  ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_inverse_image(v0, v3) = v4) |  ~ (apply(v0, v5) = v6) |  ~ (in(v6, v3) = v7) |  ? [v8] :  ? [v9] : (in(v5, v4) = v8 & in(v5, v2) = v9 & ( ~ (v8 = 0) | (v9 = 0 & v7 = 0)))) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_inverse_image(v0, v3) = v4) |  ~ (apply(v0, v5) = v6) |  ~ (in(v6, v3) = 0) |  ? [v7] :  ? [v8] : (in(v5, v4) = v8 & in(v5, v2) = v7 & ( ~ (v7 = 0) | v8 = 0))) &  ? [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (relation_inverse_image(v0, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (apply(v0, v6) = v9 & in(v9, v4) = v10 & in(v6, v3) = v7 & in(v6, v2) = v8 & ( ~ (v10 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0)) & (v7 = 0 | (v10 = 0 & v8 = 0)))))))) &  ! [v0] : ( ~ (function(v0) = 0) |  ? [v1] :  ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v3, v4) = v5) |  ~ (in(v5, v0) = v6) |  ? [v7] :  ? [v8] : (apply(v0, v3) = v8 & in(v3, v2) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = v4) | v6 = 0) & ( ~ (v6 = 0) | v8 = v4))))) &  ? [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (in(v4, v2) = v5) |  ? [v6] : (apply(v0, v4) = v6 & ( ~ (v6 = v3) | v3 = empty_set) & ( ~ (v3 = empty_set) | v6 = empty_set))))))) &  ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0) &  ! [v0] : ( ~ (empty(v0) = 0) |  ? [v1] : (relation_dom(v0) = v1 & relation(v1) = 0 & empty(v1) = 0)) &  ! [v0] :  ~ (proper_subset(v0, v0) = 0) &  ! [v0] :  ~ (in(v0, empty_set) = 0) &  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] :  ? [v3] :  ? [v4] : (in(v2, v1) = v4 & in(v2, v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0)) & (v4 = 0 | v3 = 0))) &  ? [v0] :  ? [v1] : element(v1, v0) = 0 &  ? [v0] :  ? [v1] : (in(v0, v1) = 0 &  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (powerset(v2) = v3) |  ~ (in(v3, v1) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v2, v1) = v5)) &  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (are_equipotent(v2, v1) = v3) |  ? [v4] :  ? [v5] : (subset(v2, v1) = v4 & in(v2, v1) = v5 & ( ~ (v4 = 0) | v5 = 0))) &  ! [v2] :  ! [v3] : ( ~ (subset(v3, v2) = 0) |  ? [v4] :  ? [v5] : (in(v3, v1) = v5 & in(v2, v1) = v4 & ( ~ (v4 = 0) | v5 = 0)))) &  ? [v0] :  ? [v1] : (in(v0, v1) = 0 &  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (are_equipotent(v2, v1) = v3) |  ? [v4] :  ? [v5] : (subset(v2, v1) = v4 & in(v2, v1) = v5 & ( ~ (v4 = 0) | v5 = 0))) &  ! [v2] :  ! [v3] : ( ~ (subset(v3, v2) = 0) |  ? [v4] :  ? [v5] : (in(v3, v1) = v5 & in(v2, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) &  ! [v2] : ( ~ (in(v2, v1) = 0) |  ? [v3] : (in(v3, v1) = 0 &  ! [v4] : ( ~ (subset(v4, v2) = 0) | in(v4, v3) = 0)))) &  ? [v0] : (v0 = empty_set |  ? [v1] : in(v1, v0) = 0)
% 37.28/9.31  |
% 37.28/9.31  | Applying alpha-rule on (1) yields:
% 37.28/9.31  | (2)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (ordinal(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (subset(v2, v0) = v4 & ordinal(v2) = v3 & in(v2, v0) = 0 & ( ~ (v4 = 0) |  ~ (v3 = 0))))
% 37.28/9.31  | (3)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom(v3) = v4) |  ~ (relation_dom_restriction(v2, v1) = v3) |  ~ (in(v0, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (relation_dom(v2) = v8 & relation(v2) = v6 & in(v0, v8) = v9 & in(v0, v1) = v7 & ( ~ (v6 = 0) | (( ~ (v9 = 0) |  ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v9 = 0 & v7 = 0))))))
% 37.28/9.31  | (4)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (epsilon_connected(v1) = v5 & ordinal(v1) = v6 & ordinal(v0) = v2 & epsilon_transitive(v1) = v4 & empty(v1) = v3 & ( ~ (v2 = 0) | (v6 = 0 & v5 = 0 & v4 = 0 &  ~ (v3 = 0)))))
% 37.31/9.31  | (5)  ! [v0] :  ~ (in(v0, empty_set) = 0)
% 37.31/9.31  | (6)  ! [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] :  ? [v9] : (union_of_subsets(v0, v8) = v9 & complements_of_subsets(v0, v1) = v8 & element(v1, v6) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & ( ~ (v7 = 0) | v9 = v4)))
% 37.31/9.31  | (7)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (empty(v1) = 0) |  ~ (empty(v0) = 0))
% 37.31/9.31  | (8)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & element(v3, v2) = 0 & powerset(v0) = v2 & empty(v3) = v4))
% 37.31/9.31  | (9)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (meet_of_subsets(v3, v2) = v1) |  ~ (meet_of_subsets(v3, v2) = v0))
% 37.31/9.31  | (10)  ! [v0] :  ! [v1] : ( ~ (being_limit_ordinal(v0) = 0) |  ~ (succ(v1) = v0) |  ? [v2] : (( ~ (v2 = 0) & ordinal(v1) = v2) | ( ~ (v2 = 0) & ordinal(v0) = v2)))
% 37.31/9.31  | (11)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (set_union2(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 37.31/9.31  | (12)  ~ (all_0_6_6 = 0)
% 37.31/9.31  | (13)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) | set_union2(v0, v1) = v3)
% 37.31/9.31  | (14)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v1) = v2) |  ~ (in(v3, v2) = 0) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v5) = v3 & in(v5, v1) = 0 & in(v4, v0) = 0))
% 37.31/9.31  | (15)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (function(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2))
% 37.31/9.31  | (16) relation(all_0_5_5) = 0
% 37.31/9.31  | (17)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (epsilon_connected(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v5 = 0) &  ~ (v4 = 0) &  ~ (v3 = v2) & in(v3, v2) = v5 & in(v3, v0) = 0 & in(v2, v3) = v4 & in(v2, v0) = 0))
% 37.31/9.31  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (function_inverse(v1) = v2) |  ~ (relation_composition(v2, v1) = v3) |  ~ (apply(v3, v0) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (relation_rng(v1) = v8 & apply(v2, v0) = v10 & apply(v1, v10) = v11 & one_to_one(v1) = v7 & relation(v1) = v5 & function(v1) = v6 & in(v0, v8) = v9 & ( ~ (v9 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) | (v11 = v0 & v4 = v0))))
% 37.31/9.31  | (19)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~ (powerset(v2) = v0))
% 37.31/9.31  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 | v3 = v0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ (in(v3, v2) = 0))
% 37.31/9.31  | (21)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation_dom(v0) = v3 & relation(v0) = v2 & empty(v3) = v4 & ( ~ (v4 = 0) |  ~ (v2 = 0))))
% 37.31/9.31  | (22)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (union_of_subsets(v3, v2) = v1) |  ~ (union_of_subsets(v3, v2) = v0))
% 37.31/9.31  | (23)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (element(v0, v2) = v3) |  ~ (powerset(v1) = v2) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & in(v4, v1) = v5 & in(v4, v0) = 0))
% 37.31/9.31  | (24)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_composition(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ (relation(v0) = 0) |  ~ (in(v5, v2) = 0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = 0 & v8 = 0 & ordered_pair(v6, v4) = v9 & ordered_pair(v3, v6) = v7 & in(v9, v1) = 0 & in(v7, v0) = 0) | ( ~ (v6 = 0) & relation(v1) = v6)))
% 37.31/9.31  | (25)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subset(v0, v3) = v4) |  ~ (set_intersection2(v1, v2) = v3) |  ? [v5] :  ? [v6] : (subset(v0, v2) = v6 & subset(v0, v1) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0))))
% 37.31/9.31  | (26)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (one_to_one(v0) = v4 & relation(v1) = v5 & relation(v0) = v2 & function(v1) = v6 & function(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | (v6 = 0 & v5 = 0))))
% 37.31/9.31  | (27)  ! [v0] : (v0 = empty_set |  ~ (empty(v0) = 0))
% 37.31/9.31  | (28)  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_difference(v0, v1) = v0)
% 37.31/9.31  | (29)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (identity_relation(v0) = v2) |  ~ (function(v1) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v1) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = v0) | v2 = v1 | (v6 = 0 &  ~ (v7 = v5) & apply(v1, v5) = v7 & in(v5, v0) = 0)) & ( ~ (v2 = v1) | (v4 = v0 &  ! [v8] :  ! [v9] : (v9 = v8 |  ~ (apply(v1, v8) = v9) |  ? [v10] : ( ~ (v10 = 0) & in(v8, v0) = v10))))))))
% 37.31/9.32  | (30)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (is_connected_in(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (v8 = 0) &  ~ (v6 = 0) &  ~ (v4 = v3) & ordered_pair(v4, v3) = v7 & ordered_pair(v3, v4) = v5 & in(v7, v0) = v8 & in(v5, v0) = v6 & in(v4, v1) = 0 & in(v3, v1) = 0))
% 37.31/9.32  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (singleton(v0) = v2) |  ~ (set_union2(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 37.31/9.32  | (32) relation(empty_set) = 0
% 37.31/9.32  | (33)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (relation_dom_restriction(v0, v1) = v3) |  ~ (relation(v2) = 0) |  ~ (relation(v0) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (ordered_pair(v4, v5) = v6 & in(v6, v2) = v7 & in(v6, v0) = v9 & in(v4, v1) = v8 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0)) & (v7 = 0 | (v9 = 0 & v8 = 0))))
% 37.31/9.32  | (34)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (reflexive(v2) = v5 & reflexive(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 37.31/9.32  | (35)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_intersection2(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0)) & (v5 = 0 | (v7 = 0 & v6 = 0))))
% 37.31/9.32  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_inverse_image(v1, v0) = v2) |  ~ (relation_dom(v1) = v3) |  ~ (subset(v2, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5))
% 37.31/9.32  | (37)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v1) = v2) |  ~ (in(v3, v0) = 0) |  ? [v4] :  ? [v5] : (in(v3, v2) = v5 & in(v3, v1) = v4 & (v5 = 0 | v4 = 0)))
% 37.31/9.32  | (38)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v1, v3) = 0) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] : (complements_of_subsets(v0, v4) = v1 & complements_of_subsets(v0, v1) = v4))
% 37.31/9.32  | (39)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ (subset(v2, v0) = 0) | in(v2, v1) = 0)
% 37.31/9.32  | (40)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v2, v3) = 0) |  ~ (powerset(v0) = v3) |  ~ (in(v1, v2) = 0) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & subset_complement(v0, v2) = v4 & in(v1, v4) = v5))
% 37.31/9.32  | (41)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v0 = empty_set |  ~ (singleton(v1) = v2) |  ~ (subset(v0, v2) = 0))
% 37.31/9.32  | (42)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (relation(v0) = v1) |  ? [v2] : (in(v2, v0) = 0 &  ! [v3] :  ! [v4] :  ~ (ordered_pair(v3, v4) = v2)))
% 37.31/9.32  | (43)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (unordered_triple(v4, v3, v2) = v1) |  ~ (unordered_triple(v4, v3, v2) = v0))
% 37.31/9.32  | (44)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (well_founded_relation(v2) = v5 & well_founded_relation(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 37.31/9.32  | (45)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (epsilon_connected(v0) = 0) |  ~ (in(v2, v0) = 0) |  ~ (in(v1, v0) = 0) |  ? [v3] :  ? [v4] : (in(v2, v1) = v4 & in(v1, v2) = v3 & (v4 = 0 | v3 = 0)))
% 37.31/9.32  | (46)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (relation_inverse(v0) = v1) |  ~ (relation(v2) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v3 = 0) & relation(v0) = v3) | (ordered_pair(v4, v3) = v7 & ordered_pair(v3, v4) = v5 & in(v7, v0) = v8 & in(v5, v2) = v6 & ( ~ (v8 = 0) |  ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))
% 37.31/9.32  | (47)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (well_orders(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (is_well_founded_in(v0, v1) = v7 & is_reflexive_in(v0, v1) = v3 & is_transitive_in(v0, v1) = v4 & is_connected_in(v0, v1) = v6 & is_antisymmetric_in(v0, v1) = v5 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))
% 37.31/9.32  | (48)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v1, v3) = 0) |  ~ (powerset(v2) = v3) |  ~ (in(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4))
% 37.31/9.32  | (49)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v2, v1) = v3) |  ~ (set_union2(v0, v1) = v2) | set_difference(v0, v1) = v3)
% 37.31/9.32  | (50)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_field(v2) = v1) |  ~ (relation_field(v2) = v0))
% 37.31/9.32  | (51)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (disjoint(v2, v1) = 0) |  ~ (singleton(v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 37.31/9.32  | (52)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (transitive(v0) = 0) |  ~ (ordered_pair(v1, v3) = v5) |  ~ (ordered_pair(v1, v2) = v4) |  ~ (in(v5, v0) = v6) |  ~ (in(v4, v0) = 0) |  ? [v7] :  ? [v8] : (( ~ (v8 = 0) & ordered_pair(v2, v3) = v7 & in(v7, v0) = v8) | ( ~ (v7 = 0) & relation(v0) = v7)))
% 37.31/9.32  | (53)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (disjoint(v0, v1) = 0) |  ~ (in(v2, v0) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v2, v1) = v3))
% 37.31/9.32  | (54) ordinal(all_0_12_12) = 0
% 37.31/9.32  | (55)  ! [v0] : ( ~ (function(v0) = 0) |  ? [v1] :  ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v6 = 0 |  ~ (relation_image(v0, v3) = v4) |  ~ (in(v7, v2) = 0) |  ~ (in(v5, v4) = v6) |  ? [v8] :  ? [v9] : (apply(v0, v7) = v9 & in(v7, v3) = v8 & ( ~ (v9 = v5) |  ~ (v8 = 0)))) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_image(v0, v3) = v4) |  ~ (in(v5, v4) = 0) |  ? [v6] : (apply(v0, v6) = v5 & in(v6, v3) = 0 & in(v6, v2) = 0)) &  ? [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (relation_image(v0, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (in(v6, v3) = v7 & ( ~ (v7 = 0) |  ! [v12] : ( ~ (in(v12, v2) = 0) |  ? [v13] :  ? [v14] : (apply(v0, v12) = v14 & in(v12, v4) = v13 & ( ~ (v14 = v6) |  ~ (v13 = 0))))) & (v7 = 0 | (v11 = v6 & v10 = 0 & v9 = 0 & apply(v0, v8) = v6 & in(v8, v4) = 0 & in(v8, v2) = 0))))))))
% 37.31/9.32  | (56)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v3 = 0 |  ~ (relation_rng(v0) = v1) |  ~ (ordered_pair(v4, v2) = v5) |  ~ (in(v5, v0) = 0) |  ~ (in(v2, v1) = v3) |  ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6))
% 37.31/9.32  | (57)  ! [v0] :  ! [v1] : ( ~ (proper_subset(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & proper_subset(v1, v0) = v2))
% 37.31/9.32  | (58)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 | v4 = v1 | v4 = v0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v4, v3) = 0))
% 37.31/9.32  | (59)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v1) = v2) |  ~ (relation_image(v1, v3) = v4) |  ~ (set_intersection2(v2, v0) = v3) |  ? [v5] :  ? [v6] : (relation_image(v1, v0) = v6 & relation(v1) = v5 & ( ~ (v5 = 0) | v6 = v4)))
% 37.31/9.32  | (60)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v2) = v3) |  ~ (relation(v1) = 0) |  ~ (in(v3, v1) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v2, v0) = v5))
% 37.31/9.32  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v1, v3) = 0) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] : (union_of_subsets(v0, v1) = v4 & union(v1) = v4))
% 37.31/9.32  | (62)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (function(v2) = v1) |  ~ (function(v2) = v0))
% 37.31/9.32  | (63)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom(v1) = v2) |  ~ (in(v0, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] : (apply(v1, v0) = v6 & relation(v1) = v4 & function(v1) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (v3 = 0) |  ~ (relation_composition(v1, v7) = v8) |  ~ (apply(v8, v0) = v9) |  ? [v10] :  ? [v11] :  ? [v12] : (apply(v7, v6) = v12 & relation(v7) = v10 & function(v7) = v11 & ( ~ (v11 = 0) |  ~ (v10 = 0) | v12 = v9))))))
% 37.31/9.32  | (64)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (is_transitive_in(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ( ~ (v9 = 0) & ordered_pair(v4, v5) = v7 & ordered_pair(v3, v5) = v8 & ordered_pair(v3, v4) = v6 & in(v8, v0) = v9 & in(v7, v0) = 0 & in(v6, v0) = 0 & in(v5, v1) = 0 & in(v4, v1) = 0 & in(v3, v1) = 0))
% 37.31/9.32  | (65) function(all_0_10_10) = 0
% 37.31/9.33  | (66)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | function(v1) = 0)
% 37.31/9.33  | (67)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (ordinal_subset(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (ordinal_subset(v1, v0) = v5 & ordinal(v1) = v4 & ordinal(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 37.31/9.33  | (68)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_rng(v2) = v3) |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (subset(v3, v0) = v4) |  ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5))
% 37.31/9.33  | (69)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (in(v1, v2) = 0) |  ~ (in(v0, v1) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v2, v0) = v3))
% 37.31/9.33  | (70) empty(empty_set) = 0
% 37.31/9.33  | (71)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v0 |  ~ (unordered_triple(v1, v2, v3) = v4) |  ? [v5] :  ? [v6] : (in(v5, v0) = v6 & ( ~ (v6 = 0) | ( ~ (v5 = v3) &  ~ (v5 = v2) &  ~ (v5 = v1))) & (v6 = 0 | v5 = v3 | v5 = v2 | v5 = v1)))
% 37.31/9.33  | (72)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_dom(v2) = v1) |  ~ (relation_dom(v2) = v0))
% 37.31/9.33  | (73)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (antisymmetric(v2) = v1) |  ~ (antisymmetric(v2) = v0))
% 37.31/9.33  | (74)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] :  ? [v4] : (set_intersection2(v0, v1) = v3 & in(v4, v3) = 0))
% 37.31/9.33  | (75)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation(v2) = v1) |  ~ (relation(v2) = v0))
% 37.31/9.33  | (76)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v1, v3) = v4))
% 37.31/9.33  | (77)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v4 = 0 |  ~ (relation_field(v2) = v3) |  ~ (in(v1, v3) = v5) |  ~ (in(v0, v3) = v4) |  ? [v6] :  ? [v7] :  ? [v8] : (ordered_pair(v0, v1) = v7 & relation(v2) = v6 & in(v7, v2) = v8 & ( ~ (v8 = 0) |  ~ (v6 = 0))))
% 37.31/9.33  | (78)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng_restriction(v0, v3) = v4) |  ~ (relation_dom_restriction(v2, v1) = v3) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_rng_restriction(v0, v2) = v6 & relation_dom_restriction(v6, v1) = v7 & relation(v2) = v5 & ( ~ (v5 = 0) | v7 = v4)))
% 37.31/9.33  | (79)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_inverse_image(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ~ (in(v3, v2) = 0) |  ? [v4] :  ? [v5] : (ordered_pair(v3, v4) = v5 & in(v5, v0) = 0 & in(v4, v1) = 0))
% 37.31/9.33  | (80)  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ (subset(v0, v1) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : ((v4 = 0 & v3 = 0 & ordinal(v2) = 0 & in(v2, v0) = 0 &  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (ordinal_subset(v2, v5) = v6) |  ? [v7] :  ? [v8] : (ordinal(v5) = v7 & in(v5, v0) = v8 & ( ~ (v8 = 0) |  ~ (v7 = 0))))) | ( ~ (v2 = 0) & ordinal(v1) = v2)))
% 37.31/9.33  | (81) relation(all_0_7_7) = 0
% 37.31/9.33  | (82)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (identity_relation(v2) = v1) |  ~ (identity_relation(v2) = v0))
% 37.31/9.33  | (83)  ! [v0] :  ! [v1] : ( ~ (proper_subset(v0, v1) = 0) | subset(v0, v1) = 0)
% 37.31/9.33  | (84)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom(v3) = v4) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ~ (in(v1, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (relation_dom(v2) = v8 & relation(v2) = v6 & function(v2) = v7 & in(v1, v8) = v9 & in(v1, v0) = v10 & ( ~ (v7 = 0) |  ~ (v6 = 0) | (( ~ (v10 = 0) |  ~ (v9 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v10 = 0 & v9 = 0))))))
% 37.31/9.33  | (85)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v0) = v1) |  ~ (in(v2, v1) = 0) |  ? [v3] : (in(v3, v0) = 0 & in(v2, v3) = 0))
% 37.31/9.33  | (86)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (relation_inverse_image(v1, v2) = v3) |  ~ (relation(v1) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (in(v4, v0) = v5 & ( ~ (v5 = 0) |  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v4, v10) = v11) |  ~ (in(v11, v1) = 0) |  ? [v12] : ( ~ (v12 = 0) & in(v10, v2) = v12))) & (v5 = 0 | (v9 = 0 & v8 = 0 & ordered_pair(v4, v6) = v7 & in(v7, v1) = 0 & in(v6, v2) = 0))))
% 37.31/9.33  | (87)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_rng(v2) = v3) |  ~ (relation_rng(v1) = v4) |  ~ (relation_dom_restriction(v1, v0) = v2) |  ~ (subset(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6))
% 37.31/9.33  | (88)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v1, v3) = 0) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] : (complements_of_subsets(v0, v1) = v4 &  ! [v5] : (v5 = v4 |  ~ (element(v5, v3) = 0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (subset_complement(v0, v6) = v8 & element(v6, v2) = 0 & in(v8, v1) = v9 & in(v6, v5) = v7 & ( ~ (v9 = 0) |  ~ (v7 = 0)) & (v9 = 0 | v7 = 0))) &  ! [v5] : ( ~ (element(v5, v2) = 0) |  ~ (element(v4, v3) = 0) |  ? [v6] :  ? [v7] :  ? [v8] : (subset_complement(v0, v5) = v7 & in(v7, v1) = v8 & in(v5, v4) = v6 & ( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0)))))
% 37.31/9.33  | (89)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ? [v3] :  ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0)))
% 37.31/9.33  | (90)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ (subset(v2, v1) = 0) | in(v0, v1) = 0)
% 37.31/9.33  | (91)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (connected(v2) = v1) |  ~ (connected(v2) = v0))
% 37.31/9.33  | (92)  ? [v0] :  ? [v1] : (in(v0, v1) = 0 &  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (powerset(v2) = v3) |  ~ (in(v3, v1) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v2, v1) = v5)) &  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (are_equipotent(v2, v1) = v3) |  ? [v4] :  ? [v5] : (subset(v2, v1) = v4 & in(v2, v1) = v5 & ( ~ (v4 = 0) | v5 = 0))) &  ! [v2] :  ! [v3] : ( ~ (subset(v3, v2) = 0) |  ? [v4] :  ? [v5] : (in(v3, v1) = v5 & in(v2, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))))
% 37.31/9.33  | (93)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_inverse_image(v2, v1) = v3) |  ~ (in(v0, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (relation_rng(v2) = v6 & relation(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | (v11 = 0 & v10 = 0 & v8 = 0 & ordered_pair(v0, v7) = v9 & in(v9, v2) = 0 & in(v7, v6) = 0 & in(v7, v1) = 0)) & (v4 = 0 |  ! [v12] : ( ~ (in(v12, v6) = 0) |  ? [v13] :  ? [v14] :  ? [v15] : (ordered_pair(v0, v12) = v13 & in(v13, v2) = v14 & in(v12, v1) = v15 & ( ~ (v15 = 0) |  ~ (v14 = 0)))))))))
% 37.31/9.33  | (94)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (relation_composition(v0, v1) = v2) |  ~ (relation(v3) = 0) |  ~ (relation(v0) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (( ~ (v4 = 0) & relation(v1) = v4) | (ordered_pair(v4, v5) = v6 & in(v6, v3) = v7 & ( ~ (v7 = 0) |  ! [v13] :  ! [v14] : ( ~ (ordered_pair(v4, v13) = v14) |  ~ (in(v14, v0) = 0) |  ? [v15] :  ? [v16] : ( ~ (v16 = 0) & ordered_pair(v13, v5) = v15 & in(v15, v1) = v16))) & (v7 = 0 | (v12 = 0 & v10 = 0 & ordered_pair(v8, v5) = v11 & ordered_pair(v4, v8) = v9 & in(v11, v1) = 0 & in(v9, v0) = 0)))))
% 37.31/9.33  | (95) relation(all_0_2_2) = 0
% 37.31/9.33  | (96)  ! [v0] :  ! [v1] :  ! [v2] : (v0 = empty_set |  ~ (element(v2, v1) = 0) |  ~ (powerset(v0) = v1) |  ? [v3] : (subset_complement(v0, v2) = v3 &  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (in(v4, v3) = v5) |  ? [v6] :  ? [v7] : (element(v4, v0) = v6 & in(v4, v2) = v7 & ( ~ (v6 = 0) | v7 = 0)))))
% 37.31/9.33  | (97)  ! [v0] : (v0 = empty_set |  ~ (set_meet(empty_set) = v0))
% 37.31/9.33  | (98)  ! [v0] :  ! [v1] : ( ~ (proper_subset(v1, v0) = 0) |  ? [v2] : ( ~ (v2 = 0) & subset(v0, v1) = v2))
% 37.31/9.33  | (99)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (in(v3, v2) = v1) |  ~ (in(v3, v2) = v0))
% 37.31/9.33  | (100) relation(all_0_10_10) = 0
% 37.31/9.33  | (101)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3))
% 37.31/9.33  | (102)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0))))
% 37.31/9.33  | (103)  ! [v0] :  ! [v1] : ( ~ (epsilon_transitive(v0) = 0) |  ~ (proper_subset(v0, v1) = 0) |  ? [v2] :  ? [v3] : (ordinal(v1) = v2 & in(v0, v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 37.31/9.33  | (104)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_restriction(v2, v1) = v3) |  ~ (relation_field(v3) = v4) |  ~ (in(v0, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (relation_field(v2) = v6 & relation(v2) = v5 & in(v0, v6) = v7 & in(v0, v1) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0))))
% 37.31/9.33  | (105) epsilon_transitive(all_0_12_12) = 0
% 37.31/9.34  | (106)  ! [v0] :  ! [v1] : ( ~ (relation(v0) = 0) |  ~ (in(v1, v0) = 0) |  ? [v2] :  ? [v3] : ordered_pair(v2, v3) = v1)
% 37.31/9.34  | (107)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v3 = 0 |  ~ (relation_dom(v0) = v1) |  ~ (ordered_pair(v2, v4) = v5) |  ~ (in(v5, v0) = 0) |  ~ (in(v2, v1) = v3) |  ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6))
% 37.31/9.34  | (108)  ! [v0] : ( ~ (function(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (relation_rng(v0) = v2 & relation_dom(v0) = v3 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v4] :  ! [v5] :  ! [v6] : (v5 = 0 |  ~ (in(v6, v3) = 0) |  ~ (in(v4, v2) = v5) |  ? [v7] : ( ~ (v7 = v4) & apply(v0, v6) = v7)) &  ! [v4] : ( ~ (in(v4, v2) = 0) |  ? [v5] : (apply(v0, v5) = v4 & in(v5, v3) = 0)) &  ? [v4] : (v4 = v2 |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (in(v5, v4) = v6 & ( ~ (v6 = 0) |  ! [v10] : ( ~ (in(v10, v3) = 0) |  ? [v11] : ( ~ (v11 = v5) & apply(v0, v10) = v11))) & (v6 = 0 | (v9 = v5 & v8 = 0 & apply(v0, v7) = v5 & in(v7, v3) = 0))))))))
% 37.31/9.34  | (109) relation(all_0_17_17) = 0
% 37.31/9.34  | (110)  ! [v0] :  ~ (singleton(v0) = empty_set)
% 37.31/9.34  | (111)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation(v1) = 0)
% 37.31/9.34  | (112)  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_intersection2(v0, v1) = empty_set)
% 37.31/9.34  | (113)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_union2(v0, v1) = v2) |  ~ (in(v3, v0) = v4) |  ? [v5] :  ? [v6] : (in(v3, v2) = v6 & in(v3, v1) = v5 & (v6 = 0 | ( ~ (v5 = 0) &  ~ (v4 = 0)))))
% 37.31/9.34  | (114)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subset(v3, v2) = v4) |  ~ (unordered_pair(v0, v1) = v3) |  ? [v5] :  ? [v6] : (in(v1, v2) = v6 & in(v0, v2) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0))))
% 37.31/9.34  | (115) empty(all_0_9_9) = all_0_8_8
% 37.31/9.34  | (116)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (subset(empty_set, v0) = v1))
% 37.31/9.34  | (117)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (cartesian_product2(v1, v3) = v5) |  ~ (cartesian_product2(v0, v2) = v4) |  ~ (subset(v4, v5) = v6) |  ? [v7] :  ? [v8] : (subset(v2, v3) = v8 & subset(v0, v1) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0))))
% 37.31/9.34  | (118)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v3 = empty_set) | v1 = empty_set) & ( ~ (v1 = empty_set) | v3 = empty_set)))))
% 37.31/9.34  | (119)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0))))
% 37.31/9.34  | (120)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 37.31/9.34  | (121)  ! [v0] : ( ~ (function(v0) = 0) |  ? [v1] :  ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v3, v4) = v5) |  ~ (in(v5, v0) = v6) |  ? [v7] :  ? [v8] : (apply(v0, v3) = v8 & in(v3, v2) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = v4) | v6 = 0) & ( ~ (v6 = 0) | v8 = v4))))) &  ? [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (in(v4, v2) = v5) |  ? [v6] : (apply(v0, v4) = v6 & ( ~ (v6 = v3) | v3 = empty_set) & ( ~ (v3 = empty_set) | v6 = empty_set)))))))
% 37.31/9.34  | (122)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v0, v1) = v2) |  ~ (in(v3, v0) = v4) |  ? [v5] :  ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v4 = 0 &  ~ (v6 = 0)))))
% 37.31/9.34  | (123)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_restriction(v3, v2) = v1) |  ~ (relation_restriction(v3, v2) = v0))
% 37.31/9.34  | (124)  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : (in(v2, v1) = 0 &  ! [v3] : ( ~ (in(v3, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & in(v3, v2) = v4))))
% 37.31/9.34  | (125)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (in(v4, v1) = 0) | in(v2, v0) = 0)
% 37.31/9.34  | (126)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 37.31/9.34  | (127)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (singleton(v0) = v1) |  ~ (in(v0, v1) = v2))
% 37.31/9.34  | (128)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_dom(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) |  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v3, v8) = v9) |  ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v3, v5) = v6 & in(v6, v1) = 0)))))
% 37.31/9.34  | (129)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_rng(v4) = v5) |  ~ (subset(v1, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (relation_dom(v4) = v9 & subset(v3, v9) = v10 & subset(v0, v4) = v8 & relation(v4) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0) | (v10 = 0 & v6 = 0)))))))
% 37.31/9.34  | (130)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (well_founded_relation(v2) = v1) |  ~ (well_founded_relation(v2) = v0))
% 37.31/9.34  | (131)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (well_orders(v3, v2) = v1) |  ~ (well_orders(v3, v2) = v0))
% 37.31/9.34  | (132) epsilon_connected(all_0_1_1) = 0
% 37.31/9.34  | (133)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_composition(v3, v2) = v1) |  ~ (relation_composition(v3, v2) = v0))
% 37.31/9.34  | (134)  ! [v0] :  ! [v1] : ( ~ (union(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (epsilon_connected(v1) = v4 & ordinal(v1) = v5 & ordinal(v0) = v2 & epsilon_transitive(v1) = v3 & ( ~ (v2 = 0) | (v5 = 0 & v4 = 0 & v3 = 0))))
% 37.31/9.34  | (135)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_reflexive_in(v3, v2) = v1) |  ~ (is_reflexive_in(v3, v2) = v0))
% 37.31/9.34  | (136)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 37.31/9.34  | (137)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subset_complement(v0, v1) = v3) |  ~ (element(v3, v2) = v4) |  ~ (powerset(v0) = v2) |  ? [v5] : ( ~ (v5 = 0) & element(v1, v2) = v5))
% 37.31/9.34  | (138)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_dom(v1) = v0)
% 37.31/9.34  | (139)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (subset(v0, v1) = 0) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v0) = 0) |  ~ (in(v4, v0) = 0) |  ? [v5] : ((v5 = 0 & in(v4, v1) = 0) | ( ~ (v5 = 0) & relation(v1) = v5)))
% 37.31/9.34  | (140)  ? [v0] :  ? [v1] : (in(v0, v1) = 0 &  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (are_equipotent(v2, v1) = v3) |  ? [v4] :  ? [v5] : (subset(v2, v1) = v4 & in(v2, v1) = v5 & ( ~ (v4 = 0) | v5 = 0))) &  ! [v2] :  ! [v3] : ( ~ (subset(v3, v2) = 0) |  ? [v4] :  ? [v5] : (in(v3, v1) = v5 & in(v2, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) &  ! [v2] : ( ~ (in(v2, v1) = 0) |  ? [v3] : (in(v3, v1) = 0 &  ! [v4] : ( ~ (subset(v4, v2) = 0) | in(v4, v3) = 0))))
% 37.31/9.34  | (141)  ! [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] :  ? [v9] : (meet_of_subsets(v0, v8) = v9 & complements_of_subsets(v0, v1) = v8 & element(v1, v6) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & ( ~ (v7 = 0) | v9 = v4)))
% 37.31/9.34  | (142)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 37.31/9.34  | (143)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (complements_of_subsets(v0, v1) = v4) |  ~ (element(v4, v3) = v5) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ? [v6] : ( ~ (v6 = 0) & element(v1, v3) = v6))
% 37.31/9.34  | (144)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (unordered_pair(v3, v2) = v1) |  ~ (unordered_pair(v3, v2) = v0))
% 37.31/9.34  | (145)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (function_inverse(v2) = v1) |  ~ (function_inverse(v2) = v0))
% 37.31/9.34  | (146)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_rng(v3) = v4) |  ~ (relation_rng_restriction(v1, v2) = v3) |  ~ (in(v0, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (relation_rng(v2) = v8 & relation(v2) = v6 & in(v0, v8) = v9 & in(v0, v1) = v7 & ( ~ (v6 = 0) | (( ~ (v9 = 0) |  ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v9 = 0 & v7 = 0))))))
% 37.31/9.34  | (147)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v1) = v3) |  ~ (singleton(v0) = v2) |  ~ (subset(v2, v3) = 0))
% 37.31/9.34  | (148)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (is_antisymmetric_in(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v4 = v3) & ordered_pair(v4, v3) = v6 & ordered_pair(v3, v4) = v5 & in(v6, v0) = 0 & in(v5, v0) = 0 & in(v4, v1) = 0 & in(v3, v1) = 0))
% 37.31/9.34  | (149)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (subset(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : ((v6 = 0 &  ~ (v7 = 0) & ordered_pair(v3, v4) = v5 & in(v5, v1) = v7 & in(v5, v0) = 0) | ( ~ (v3 = 0) & relation(v1) = v3)))
% 37.31/9.35  | (150)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (element(v1, v0) = v2) |  ? [v3] :  ? [v4] : (empty(v0) = v3 & in(v1, v0) = v4 & (v3 = 0 | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 37.31/9.35  | (151) relation(all_0_13_13) = 0
% 37.31/9.35  | (152)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_dom_restriction(v1, v0) = v2) |  ~ (subset(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4))
% 37.31/9.35  | (153)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 37.31/9.35  | (154) relation_empty_yielding(empty_set) = 0
% 37.31/9.35  | (155)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_rng(v2) = v1) |  ~ (relation_rng(v2) = v0))
% 37.31/9.35  | (156)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ~ (in(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (apply(v3, v1) = v7 & apply(v2, v1) = v8 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v8 = v7)))
% 37.31/9.35  | (157)  ! [v0] : ( ~ (being_limit_ordinal(v0) = 0) | union(v0) = v0)
% 37.31/9.35  | (158)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3))
% 37.31/9.35  | (159)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] : ( ~ (relation_dom(v4) = v5) |  ~ (subset(v1, v5) = 0) |  ? [v6] :  ? [v7] :  ? [v8] : (relation_composition(v0, v4) = v7 & relation_dom(v7) = v8 & relation(v4) = v6 & ( ~ (v6 = 0) | v8 = v3))))))
% 37.31/9.35  | (160)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (relation(v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (( ~ (v4 = 0) & relation(v1) = v4) | (ordered_pair(v4, v5) = v6 & in(v6, v3) = v7 & in(v6, v1) = v9 & in(v5, v0) = v8 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0)) & (v7 = 0 | (v9 = 0 & v8 = 0)))))
% 37.31/9.35  | (161)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (cast_to_subset(v2) = v1) |  ~ (cast_to_subset(v2) = v0))
% 37.31/9.35  | (162)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_rng(v1) = v3) |  ~ (relation_image(v1, v0) = v2) |  ~ (subset(v2, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5))
% 37.31/9.35  | (163)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (set_intersection2(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 37.31/9.35  | (164)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation(v2) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 37.31/9.35  | (165)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v1) = v2) |  ? [v3] :  ? [v4] : (in(v3, v0) = v4 & ( ~ (v4 = 0) |  ~ (v3 = v1)) & (v4 = 0 | v3 = v1)))
% 37.31/9.35  | (166)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (element(v1, v2) = 0) |  ~ (powerset(v0) = v2) |  ~ (in(v3, v0) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v3, v1) = v5))
% 37.31/9.35  | (167)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] : ( ~ (relation_rng(v4) = v5) |  ~ (subset(v3, v5) = 0) |  ? [v6] :  ? [v7] :  ? [v8] : (relation_composition(v4, v0) = v7 & relation_rng(v7) = v8 & relation(v4) = v6 & ( ~ (v6 = 0) | v8 = v1))))))
% 37.31/9.35  | (168)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (epsilon_transitive(v0) = v1) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & subset(v2, v0) = v3 & in(v2, v0) = 0))
% 37.31/9.35  | (169)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (subset(v0, v0) = v1))
% 37.31/9.35  | (170)  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) |  ? [v2] : (set_intersection2(v0, v1) = v2 &  ! [v3] :  ~ (in(v3, v2) = 0)))
% 37.31/9.35  | (171)  ! [v0] :  ! [v1] : ( ~ (unordered_pair(v0, v0) = v1) | singleton(v0) = v1)
% 37.31/9.35  | (172)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (set_difference(v1, v2) = v4) |  ~ (set_difference(v0, v2) = v3) |  ~ (subset(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & subset(v0, v1) = v6))
% 37.31/9.35  | (173)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (is_antisymmetric_in(v0, v1) = 0) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v0) = 0) |  ~ (in(v4, v0) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (ordered_pair(v3, v2) = v7 & in(v7, v0) = v8 & in(v3, v1) = v6 & in(v2, v1) = v5 & ( ~ (v8 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0))))
% 37.31/9.35  | (174)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v0) = v1) |  ~ (in(v2, v1) = 0))
% 37.31/9.35  | (175)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4))
% 37.31/9.35  | (176)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (being_limit_ordinal(v0) = v1) |  ? [v2] : ( ~ (v2 = v0) & union(v0) = v2))
% 37.31/9.35  | (177)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v0) = v1) |  ~ (relation_image(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation_rng(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = v2)))
% 37.31/9.35  | (178)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] : (relation(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 37.31/9.35  | (179)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (is_reflexive_in(v0, v1) = 0) |  ~ (ordered_pair(v2, v2) = v3) |  ~ (relation(v0) = 0) |  ~ (in(v3, v0) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v2, v1) = v5))
% 37.31/9.35  | (180)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v2) |  ~ (relation_dom(v0) = v1) |  ~ (set_union2(v1, v2) = v3) |  ? [v4] :  ? [v5] : (relation_field(v0) = v5 & relation(v0) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 37.31/9.35  | (181)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (element(v1, v0) = v2) |  ? [v3] :  ? [v4] : (empty(v1) = v4 & empty(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 37.31/9.35  | (182)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (cast_to_subset(v0) = v1) |  ~ (element(v1, v2) = v3) |  ~ (powerset(v0) = v2))
% 37.31/9.35  | (183)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_difference(empty_set, v0) = v1))
% 37.31/9.35  | (184)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v0, v3) = v4))
% 37.31/9.35  | (185)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2)
% 37.31/9.35  | (186)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 37.31/9.35  | (187)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation_rng(v1) = v6 & relation_rng(v0) = v3 & relation_dom(v1) = v4 & relation_dom(v0) = v5 & relation(v0) = v2 & ( ~ (v2 = 0) | (v6 = v5 & v4 = v3))))
% 37.31/9.35  | (188)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (meet_of_subsets(v0, v1) = v3) |  ~ (element(v3, v2) = v4) |  ~ (powerset(v0) = v2) |  ? [v5] :  ? [v6] : ( ~ (v6 = 0) & element(v1, v5) = v6 & powerset(v2) = v5))
% 37.31/9.35  | (189)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_rng(v0) = v2) |  ~ (cartesian_product2(v1, v2) = v3) |  ~ (relation_dom(v0) = v1) |  ~ (subset(v0, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & relation(v0) = v5))
% 37.31/9.35  | (190)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation(v2) = v5 & relation(v1) = v3 & function(v2) = v6 & function(v1) = v4 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 37.31/9.35  | (191)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_intersection2(v3, v2) = v1) |  ~ (set_intersection2(v3, v2) = v0))
% 37.31/9.35  | (192)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_inverse_image(v1, v0) = v2) |  ~ (relation_image(v1, v2) = v3) |  ~ (subset(v3, v0) = v4) |  ? [v5] :  ? [v6] : (relation(v1) = v5 & function(v1) = v6 & ( ~ (v6 = 0) |  ~ (v5 = 0))))
% 37.31/9.35  | (193)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (subset(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4))
% 37.31/9.35  | (194) empty(all_0_4_4) = 0
% 37.31/9.35  | (195)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v2) = v3) |  ~ (set_difference(v0, v1) = v2) | set_intersection2(v0, v1) = v3)
% 37.31/9.35  | (196)  ! [v0] :  ! [v1] : ( ~ (connected(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) |  ! [v12] :  ! [v13] : (v13 = v12 |  ~ (in(v13, v3) = 0) |  ~ (in(v12, v3) = 0) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (ordered_pair(v13, v12) = v16 & ordered_pair(v12, v13) = v14 & in(v16, v0) = v17 & in(v14, v0) = v15 & (v17 = 0 | v15 = 0)))) & (v1 = 0 | (v7 = 0 & v6 = 0 &  ~ (v11 = 0) &  ~ (v9 = 0) &  ~ (v5 = v4) & ordered_pair(v5, v4) = v10 & ordered_pair(v4, v5) = v8 & in(v10, v0) = v11 & in(v8, v0) = v9 & in(v5, v3) = 0 & in(v4, v3) = 0))))))
% 37.31/9.35  | (197)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v0 | v2 = v0 |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v4))
% 37.31/9.35  | (198)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v7 = 0) & (v5 = 0 | (v6 = 0 &  ~ (v7 = 0)))))
% 37.31/9.35  | (199)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v3, v1) = v4) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (apply(v2, v1) = v8 & relation(v2) = v5 & function(v2) = v6 & in(v1, v0) = v7 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) | v8 = v4)))
% 37.31/9.35  | (200)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 37.31/9.35  | (201)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (is_well_founded_in(v0, v1) = v2) |  ~ (relation_field(v0) = v1) |  ? [v3] :  ? [v4] : (well_founded_relation(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 37.31/9.35  | (202)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ (relation_field(v2) = v3) |  ~ (relation_field(v1) = v4) |  ~ (subset(v3, v4) = v5) |  ? [v6] :  ? [v7] : (subset(v3, v0) = v7 & relation(v1) = v6 & ( ~ (v6 = 0) | (v7 = 0 & v5 = 0))))
% 37.31/9.35  | (203)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v1, v2) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ (subset(v3, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (cartesian_product2(v2, v1) = v8 & cartesian_product2(v2, v0) = v7 & subset(v7, v8) = v9 & subset(v0, v1) = v6 & ( ~ (v6 = 0) | (v9 = 0 & v5 = 0))))
% 37.31/9.35  | (204) relation(all_0_0_0) = 0
% 37.31/9.35  | (205)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset_complement(v3, v2) = v1) |  ~ (subset_complement(v3, v2) = v0))
% 37.31/9.35  | (206)  ? [v0] :  ! [v1] : ( ~ (function(v1) = 0) |  ? [v2] :  ? [v3] : (relation_dom(v1) = v3 & relation(v1) = v2 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_composition(v4, v1) = v5) |  ~ (relation_dom(v5) = v6) |  ~ (in(v0, v6) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : (relation_dom(v4) = v10 & apply(v4, v0) = v12 & relation(v4) = v8 & function(v4) = v9 & in(v12, v3) = v13 & in(v0, v10) = v11 & ( ~ (v9 = 0) |  ~ (v8 = 0) | (( ~ (v13 = 0) |  ~ (v11 = 0) | v7 = 0) & ( ~ (v7 = 0) | (v13 = 0 & v11 = 0)))))))))
% 37.31/9.35  | (207)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (set_difference(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 37.31/9.35  | (208)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (succ(v0) = v1) |  ~ (in(v0, v1) = v2))
% 37.31/9.35  | (209)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (relation_rng(v2) = v5) |  ~ (relation_dom(v2) = v3) |  ~ (in(v1, v5) = v6) |  ~ (in(v0, v3) = v4) |  ? [v7] :  ? [v8] :  ? [v9] : (ordered_pair(v0, v1) = v8 & relation(v2) = v7 & in(v8, v2) = v9 & ( ~ (v9 = 0) |  ~ (v7 = 0))))
% 37.31/9.35  | (210)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (empty(v2) = v5 & empty(v1) = v4 & empty(v0) = v3 & ( ~ (v5 = 0) | v4 = 0 | v3 = 0)))
% 37.31/9.35  | (211)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (ordered_pair(v0, v1) = v3) |  ~ (in(v3, v2) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (relation_dom(v2) = v7 & apply(v2, v0) = v9 & relation(v2) = v5 & function(v2) = v6 & in(v0, v7) = v8 & ( ~ (v6 = 0) |  ~ (v5 = 0) | (( ~ (v9 = v1) |  ~ (v8 = 0) | v4 = 0) & ( ~ (v4 = 0) | (v9 = v1 & v8 = 0))))))
% 37.31/9.35  | (212)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (being_limit_ordinal(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : ((v4 = v0 & v3 = 0 & succ(v2) = v0 & ordinal(v2) = 0) | ( ~ (v2 = 0) & ordinal(v0) = v2)))
% 37.31/9.35  | (213)  ! [v0] :  ~ (proper_subset(v0, v0) = 0)
% 37.31/9.35  | (214)  ? [v0] :  ! [v1] : ( ~ (function(v1) = 0) |  ? [v2] :  ? [v3] : (relation_dom(v1) = v3 & relation(v1) = v2 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_dom(v4) = v5) |  ~ (set_intersection2(v5, v0) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : (relation_dom_restriction(v4, v0) = v9 & relation(v4) = v7 & function(v4) = v8 & ( ~ (v8 = 0) |  ~ (v7 = 0) | (( ~ (v9 = v1) | (v6 = v3 &  ! [v14] : ( ~ (in(v14, v3) = 0) |  ? [v15] : (apply(v4, v14) = v15 & apply(v1, v14) = v15)))) & ( ~ (v6 = v3) | v9 = v1 | (v11 = 0 &  ~ (v13 = v12) & apply(v4, v10) = v13 & apply(v1, v10) = v12 & in(v10, v3) = 0)))))))))
% 37.31/9.35  | (215)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v3 = v2 |  ~ (is_connected_in(v0, v1) = 0) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v0) = 0) |  ~ (in(v4, v0) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (ordered_pair(v3, v2) = v8 & in(v8, v0) = v9 & in(v3, v1) = v7 & in(v2, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v9 = 0)))
% 37.31/9.35  | (216)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (in(v4, v1) = 0))
% 37.31/9.35  | (217) empty(all_0_12_12) = all_0_11_11
% 37.31/9.35  | (218)  ! [v0] : (v0 = empty_set |  ~ (relation(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (ordered_pair(v1, v2) = v3 & in(v3, v0) = 0))
% 37.31/9.35  | (219)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_antisymmetric_in(v3, v2) = v1) |  ~ (is_antisymmetric_in(v3, v2) = v0))
% 37.31/9.35  | (220)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (succ(v2) = v1) |  ~ (succ(v2) = v0))
% 37.31/9.35  | (221)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (epsilon_connected(v2) = v1) |  ~ (epsilon_connected(v2) = v0))
% 37.31/9.35  | (222)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (disjoint(v3, v2) = v1) |  ~ (disjoint(v3, v2) = v0))
% 37.31/9.35  | (223)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (transitive(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v8 = 0 & v6 = 0 &  ~ (v10 = 0) & ordered_pair(v3, v4) = v7 & ordered_pair(v2, v4) = v9 & ordered_pair(v2, v3) = v5 & in(v9, v0) = v10 & in(v7, v0) = 0 & in(v5, v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2)))
% 37.31/9.36  | (224)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (relation(v2) = v7 & relation(v1) = v5 & relation(v0) = v3 & function(v2) = v8 & function(v1) = v6 & function(v0) = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) | (v8 = 0 & v7 = 0))))
% 37.31/9.36  | (225)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (proper_subset(v3, v2) = v1) |  ~ (proper_subset(v3, v2) = v0))
% 37.31/9.36  | (226)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_inverse_image(v1, v2) = v3) |  ~ (relation_image(v1, v0) = v2) |  ~ (subset(v0, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v1) = v6 & subset(v0, v6) = v7 & relation(v1) = v5 & ( ~ (v7 = 0) |  ~ (v5 = 0))))
% 37.31/9.36  | (227)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (relation_image(v1, v2) = v3) |  ~ (relation(v1) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (in(v4, v0) = v5 & ( ~ (v5 = 0) |  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v10, v4) = v11) |  ~ (in(v11, v1) = 0) |  ? [v12] : ( ~ (v12 = 0) & in(v10, v2) = v12))) & (v5 = 0 | (v9 = 0 & v8 = 0 & ordered_pair(v6, v4) = v7 & in(v7, v1) = 0 & in(v6, v2) = 0))))
% 37.31/9.36  | (228)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (is_connected_in(v0, v1) = v2) |  ~ (relation_field(v0) = v1) |  ? [v3] :  ? [v4] : (connected(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 37.31/9.36  | (229)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (empty(v2) = v1) |  ~ (empty(v2) = v0))
% 37.31/9.36  | (230)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v1) |  ~ (relation_image(v2, v1) = v3) |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ (v4 = 0) & relation(v0) = v4) | (relation_composition(v0, v2) = v5 & relation_rng(v5) = v6 & relation(v2) = v4 & ( ~ (v4 = 0) | v6 = v3))))
% 37.31/9.36  | (231)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_field(v2) = v3) |  ~ (in(v1, v3) = v5) |  ~ (in(v0, v3) = v4) |  ? [v6] :  ? [v7] :  ? [v8] : (ordered_pair(v0, v1) = v7 & relation(v2) = v6 & in(v7, v2) = v8 & ( ~ (v8 = 0) |  ~ (v6 = 0))))
% 37.31/9.36  | (232)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (union(v1) = v2) |  ~ (subset(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 37.31/9.36  | (233)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = 0 |  ~ (union(v0) = v1) |  ~ (in(v2, v4) = 0) |  ~ (in(v2, v1) = v3) |  ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = v5))
% 37.31/9.36  | (234)  ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0)
% 37.31/9.36  | (235)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (singleton(v0) = v1) |  ~ (subset(empty_set, v1) = v2))
% 37.31/9.36  | (236)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (well_orders(v0, v1) = v2) |  ~ (relation_field(v0) = v1) |  ? [v3] :  ? [v4] : (well_ordering(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 37.31/9.36  | (237)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v3, v2) = 0) |  ~ (element(v1, v2) = 0) |  ~ (powerset(v0) = v2) |  ? [v4] :  ? [v5] :  ? [v6] : (subset_complement(v0, v3) = v5 & disjoint(v1, v3) = v4 & subset(v1, v5) = v6 & ( ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | v6 = 0)))
% 37.31/9.36  | (238)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (subset(v0, v1) = v2) |  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0))
% 37.31/9.36  | (239)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_intersection2(v0, empty_set) = v1))
% 37.31/9.36  | (240)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (cartesian_product2(v2, v3) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ (in(v4, v5) = v6) |  ? [v7] :  ? [v8] : (in(v1, v3) = v8 & in(v0, v2) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0))))
% 37.31/9.36  | (241)  ! [v0] :  ! [v1] : ( ~ (epsilon_connected(v0) = v1) |  ? [v2] :  ? [v3] : (ordinal(v0) = v2 & epsilon_transitive(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0))))
% 37.31/9.36  | (242) empty(all_0_7_7) = all_0_6_6
% 37.31/9.36  | (243)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ (relation(v0) = 0) |  ~ (in(v5, v0) = v6) |  ? [v7] :  ? [v8] : (in(v5, v2) = v7 & in(v3, v1) = v8 & ( ~ (v7 = 0) | (v8 = 0 & v6 = 0))))
% 37.31/9.36  | (244)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (singleton(v0) = v2) |  ~ (subset(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 37.31/9.36  | (245)  ? [v0] :  ? [v1] : element(v1, v0) = 0
% 37.31/9.36  | (246)  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] :  ? [v3] :  ? [v4] : (in(v2, v1) = v4 & in(v2, v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0)) & (v4 = 0 | v3 = 0)))
% 37.31/9.36  | (247)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ordinal_subset(v3, v2) = v1) |  ~ (ordinal_subset(v3, v2) = v0))
% 37.31/9.36  | (248)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_rng_restriction(v3, v2) = v1) |  ~ (relation_rng_restriction(v3, v2) = v0))
% 37.31/9.36  | (249)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_image(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ~ (in(v3, v2) = 0) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v3) = v5 & in(v5, v0) = 0 & in(v4, v1) = 0))
% 37.31/9.36  | (250)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (being_limit_ordinal(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ((v4 = 0 & v3 = 0 &  ~ (v6 = 0) & succ(v2) = v5 & ordinal(v2) = 0 & in(v5, v0) = v6 & in(v2, v0) = 0) | ( ~ (v2 = 0) & ordinal(v0) = v2)))
% 37.31/9.36  | (251)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subset(v3, v1) = v4) |  ~ (set_union2(v0, v2) = v3) |  ? [v5] :  ? [v6] : (subset(v2, v1) = v6 & subset(v0, v1) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0))))
% 37.31/9.36  | (252)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset(v3, v2) = 0) |  ~ (unordered_pair(v0, v1) = v3) | (in(v1, v2) = 0 & in(v0, v2) = 0))
% 37.31/9.36  | (253)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v0, v2) = v3) |  ~ (set_union2(v0, v1) = v2))
% 37.31/9.36  | (254)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (subset(v3, v4) = v5) |  ~ (set_intersection2(v1, v2) = v4) |  ~ (set_intersection2(v0, v2) = v3) |  ? [v6] : ( ~ (v6 = 0) & subset(v0, v1) = v6))
% 37.31/9.36  | (255)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (one_to_one(v2) = v1) |  ~ (one_to_one(v2) = v0))
% 37.31/9.36  | (256)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_union2(v3, v2) = v1) |  ~ (set_union2(v3, v2) = v0))
% 37.31/9.36  | (257) empty(all_0_3_3) = 0
% 37.31/9.36  | (258)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | union(v1) = v0)
% 37.31/9.36  | (259)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (disjoint(v1, v2) = 0) |  ~ (disjoint(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 37.31/9.36  | (260) empty(all_0_2_2) = 0
% 37.31/9.36  | (261)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, v0) = v1))
% 37.31/9.36  | (262)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (fiber(v0, v1) = v2) |  ~ (ordered_pair(v3, v1) = v4) |  ~ (relation(v0) = 0) |  ~ (in(v4, v0) = v5) |  ? [v6] : ( ~ (v6 = 0) & in(v3, v2) = v6))
% 37.31/9.36  | (263)  ~ (all_0_8_8 = 0)
% 37.31/9.36  | (264) relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16
% 37.31/9.36  | (265)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_restriction(v2, v1) = v3) |  ~ (in(v0, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (cartesian_product2(v1, v1) = v7 & relation(v2) = v5 & in(v0, v7) = v8 & in(v0, v2) = v6 & ( ~ (v5 = 0) | (( ~ (v8 = 0) |  ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | (v8 = 0 & v6 = 0))))))
% 37.31/9.36  | (266)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng(v0) = v1) |  ~ (in(v2, v1) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : ((v5 = 0 & ordered_pair(v3, v2) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3)))
% 37.31/9.36  | (267)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ~ (powerset(v0) = v3) |  ? [v4] : (subset_difference(v0, v1, v2) = v4 & set_difference(v1, v2) = v4))
% 37.31/9.36  | (268)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2)
% 37.31/9.36  | (269)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ (in(v0, v2) = v3))
% 37.31/9.36  | (270)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (apply(v3, v2) = v1) |  ~ (apply(v3, v2) = v0))
% 37.31/9.36  | (271) function(all_0_4_4) = 0
% 37.31/9.36  | (272)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_composition(v5, v3) = v6) |  ~ (identity_relation(v2) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ (in(v4, v6) = v7) |  ? [v8] :  ? [v9] :  ? [v10] : (relation(v3) = v8 & in(v4, v3) = v10 & in(v0, v2) = v9 & ( ~ (v8 = 0) | (( ~ (v10 = 0) |  ~ (v9 = 0) | v7 = 0) & ( ~ (v7 = 0) | (v10 = 0 & v9 = 0))))))
% 37.31/9.36  | (273)  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (relation(v1) = v4 & relation(v0) = v2 & function(v1) = v5 & function(v0) = v3 & ( ~ (v3 = 0) |  ~ (v2 = 0) | (v5 = 0 & v4 = 0))))
% 37.31/9.36  | (274) well_ordering(all_0_17_17) = 0
% 37.31/9.36  | (275)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (antisymmetric(v0) = 0) |  ~ (ordered_pair(v1, v2) = v3) |  ~ (in(v3, v0) = 0) |  ? [v4] :  ? [v5] : (( ~ (v5 = 0) & ordered_pair(v2, v1) = v4 & in(v4, v0) = v5) | ( ~ (v4 = 0) & relation(v0) = v4)))
% 37.31/9.36  | (276)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_image(v2, v1) = v3) |  ~ (in(v0, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (relation_dom(v2) = v6 & relation(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | (v11 = 0 & v10 = 0 & v8 = 0 & ordered_pair(v7, v0) = v9 & in(v9, v2) = 0 & in(v7, v6) = 0 & in(v7, v1) = 0)) & (v4 = 0 |  ! [v12] : ( ~ (in(v12, v6) = 0) |  ? [v13] :  ? [v14] :  ? [v15] : (ordered_pair(v12, v0) = v13 & in(v13, v2) = v14 & in(v12, v1) = v15 & ( ~ (v15 = 0) |  ~ (v14 = 0)))))))))
% 37.31/9.36  | (277) well_ordering(all_0_16_16) = all_0_15_15
% 37.31/9.36  | (278)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] : (in(v3, v1) = 0 & in(v3, v0) = 0))
% 37.31/9.36  | (279)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (transitive(v2) = v5 & transitive(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 37.31/9.36  | (280)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (set_difference(v1, v3) = v4) |  ~ (singleton(v2) = v3) |  ~ (subset(v0, v4) = v5) |  ? [v6] :  ? [v7] : (subset(v0, v1) = v6 & in(v2, v0) = v7 & ( ~ (v6 = 0) | v7 = 0)))
% 37.31/9.36  | (281) function(all_0_14_14) = 0
% 37.31/9.36  | (282)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v1 = empty_set |  ~ (set_meet(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (in(v3, v0) = v4 & ( ~ (v4 = 0) | (v6 = 0 &  ~ (v7 = 0) & in(v5, v1) = 0 & in(v3, v5) = v7)) & (v4 = 0 |  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (in(v3, v8) = v9) |  ? [v10] : ( ~ (v10 = 0) & in(v8, v1) = v10)))))
% 37.31/9.36  | (283) singleton(empty_set) = all_0_19_19
% 37.31/9.36  | (284)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ (relation(v0) = 0) |  ~ (in(v5, v0) = 0) |  ? [v6] :  ? [v7] : (in(v5, v2) = v7 & in(v3, v1) = v6 & ( ~ (v6 = 0) | v7 = 0)))
% 37.31/9.36  | (285)  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 37.31/9.36  | (286)  ! [v0] :  ! [v1] : ( ~ (set_difference(v0, v1) = empty_set) | subset(v0, v1) = 0)
% 37.31/9.36  | (287)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 | v0 = empty_set |  ~ (set_meet(v0) = v1) |  ~ (in(v2, v3) = v4) |  ~ (in(v2, v1) = 0) |  ? [v5] : ( ~ (v5 = 0) & in(v3, v0) = v5))
% 37.31/9.36  | (288) relation_empty_yielding(all_0_13_13) = 0
% 37.31/9.36  | (289) function(empty_set) = 0
% 37.31/9.36  | (290)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = 0 |  ~ (cartesian_product2(v0, v1) = v2) |  ~ (ordered_pair(v5, v6) = v3) |  ~ (in(v3, v2) = v4) |  ? [v7] :  ? [v8] : (in(v6, v1) = v8 & in(v5, v0) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0))))
% 37.31/9.36  | (291)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = 0 |  ~ (is_transitive_in(v0, v1) = 0) |  ~ (ordered_pair(v2, v4) = v6) |  ~ (ordered_pair(v2, v3) = v5) |  ~ (relation(v0) = 0) |  ~ (in(v6, v0) = v7) |  ~ (in(v5, v0) = 0) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (ordered_pair(v3, v4) = v11 & in(v11, v0) = v12 & in(v4, v1) = v10 & in(v3, v1) = v9 & in(v2, v1) = v8 & ( ~ (v12 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0))))
% 37.31/9.36  | (292)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4))
% 37.31/9.36  | (293)  ~ (all_0_15_15 = 0)
% 37.31/9.36  | (294)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (cast_to_subset(v0) = v1))
% 37.31/9.36  | (295)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v2, v0) = v3) |  ~ (set_intersection2(v0, v1) = v2))
% 37.31/9.36  | (296) epsilon_transitive(empty_set) = 0
% 37.31/9.36  | (297) function(all_0_5_5) = 0
% 37.31/9.36  | (298)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = empty_set) & set_intersection2(v0, v1) = v3))
% 37.31/9.37  | (299)  ! [v0] :  ! [v1] : ( ~ (well_founded_relation(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) |  ! [v6] : (v6 = empty_set |  ~ (subset(v6, v3) = 0) |  ? [v7] :  ? [v8] : (disjoint(v8, v6) = 0 & fiber(v0, v7) = v8 & in(v7, v6) = 0))) & (v1 = 0 | (v5 = 0 &  ~ (v4 = empty_set) & subset(v4, v3) = 0 &  ! [v6] :  ! [v7] : ( ~ (disjoint(v7, v4) = 0) |  ~ (fiber(v0, v6) = v7) |  ? [v8] : ( ~ (v8 = 0) & in(v6, v4) = v8))))))))
% 37.31/9.37  | (300)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 | v0 = empty_set |  ~ (set_meet(v0) = v1) |  ~ (in(v2, v1) = v3) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = 0 & in(v2, v4) = v5))
% 37.31/9.37  | (301)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (powerset(v0) = v1) |  ~ (subset(v2, v0) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v2, v1) = v4))
% 37.31/9.37  | (302)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_composition(v2, v1) = v3) |  ~ (relation_dom(v3) = v4) |  ~ (function(v1) = 0) |  ~ (in(v0, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (( ~ (v5 = 0) & relation(v1) = v5) | (apply(v3, v0) = v7 & apply(v2, v0) = v8 & apply(v1, v8) = v9 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v9 = v7))))
% 37.31/9.37  | (303)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (element(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 37.31/9.37  | (304)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (ordinal(v1) = 0) |  ~ (ordinal(v0) = 0) |  ? [v2] :  ? [v3] : (in(v1, v0) = v3 & in(v0, v1) = v2 & (v3 = 0 | v2 = 0)))
% 37.31/9.37  | (305) epsilon_transitive(all_0_1_1) = 0
% 37.31/9.37  | (306)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & empty(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 37.31/9.37  | (307)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_inverse_image(v2, v1) = v4) |  ~ (relation_inverse_image(v2, v0) = v3) |  ~ (subset(v3, v4) = v5) |  ? [v6] :  ? [v7] : (subset(v0, v1) = v7 & relation(v2) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0))))
% 37.31/9.37  | (308)  ! [v0] :  ! [v1] : ( ~ (well_ordering(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (reflexive(v0) = v3 & well_founded_relation(v0) = v7 & transitive(v0) = v4 & connected(v0) = v6 & antisymmetric(v0) = v5 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) | v1 = 0) & ( ~ (v1 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0))))))
% 37.31/9.37  | (309)  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (one_to_one(v1) = v5 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | v5 = 0)))
% 37.31/9.37  | (310)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 37.31/9.37  | (311)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_intersection2(v0, v0) = v1))
% 37.31/9.37  | (312)  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (relation_inverse(v0) = v5 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | v5 = v1)))
% 37.31/9.37  | (313) one_to_one(empty_set) = 0
% 37.31/9.37  | (314)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (ordinal(v1) = 0) |  ~ (ordinal(v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 37.31/9.37  | (315)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_composition(v0, v2) = v3) |  ~ (relation_dom(v3) = v4) |  ~ (relation_dom(v0) = v1) |  ~ (subset(v4, v1) = v5) |  ? [v6] : (( ~ (v6 = 0) & relation(v2) = v6) | ( ~ (v6 = 0) & relation(v0) = v6)))
% 37.31/9.37  | (316)  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation_rng(v0) = v5 & relation_dom(v0) = v6 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) |  ! [v7] : ( ~ (function(v7) = 0) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (relation_dom(v7) = v9 & relation(v7) = v8 & ( ~ (v8 = 0) | (( ~ (v9 = v5) | v7 = v1 | (apply(v7, v10) = v13 & apply(v0, v11) = v15 & in(v11, v6) = v14 & in(v10, v5) = v12 & ((v15 = v10 & v14 = 0 & ( ~ (v13 = v11) |  ~ (v12 = 0))) | (v13 = v11 & v12 = 0 & ( ~ (v15 = v10) |  ~ (v14 = 0)))))) & ( ~ (v7 = v1) | (v9 = v5 &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (in(v17, v6) = v18) |  ~ (in(v16, v5) = 0) |  ? [v19] :  ? [v20] : (apply(v1, v16) = v19 & apply(v0, v17) = v20 & ( ~ (v19 = v17) | (v20 = v16 & v18 = 0)))) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (in(v17, v6) = 0) |  ~ (in(v16, v5) = v18) |  ? [v19] :  ? [v20] : (apply(v1, v16) = v20 & apply(v0, v17) = v19 & ( ~ (v19 = v16) | (v20 = v17 & v18 = 0)))))))))))))
% 37.31/9.37  | (317)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (apply(v2, v1) = v3) |  ~ (identity_relation(v0) = v2) |  ? [v4] : ( ~ (v4 = 0) & in(v1, v0) = v4))
% 37.31/9.37  | (318) relation_dom(empty_set) = empty_set
% 37.31/9.37  | (319)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (cartesian_product2(v3, v2) = v1) |  ~ (cartesian_product2(v3, v2) = v0))
% 37.31/9.37  | (320)  ! [v0] :  ! [v1] : ( ~ (epsilon_connected(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (ordinal(v0) = v4 & epsilon_transitive(v0) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0 & v1 = 0))))
% 37.31/9.37  | (321)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v6 = 0 |  ~ (relation_composition(v0, v1) = v2) |  ~ (ordered_pair(v3, v7) = v8) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ (relation(v0) = 0) |  ~ (in(v8, v0) = 0) |  ~ (in(v5, v2) = v6) |  ? [v9] :  ? [v10] : (( ~ (v10 = 0) & ordered_pair(v7, v4) = v9 & in(v9, v1) = v10) | ( ~ (v9 = 0) & relation(v1) = v9)))
% 37.31/9.37  | (322)  ~ (all_0_11_11 = 0)
% 37.31/9.37  | (323)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (ordinal_subset(v0, v0) = v2) |  ~ (ordinal(v1) = 0) |  ? [v3] : ( ~ (v3 = 0) & ordinal(v0) = v3))
% 37.31/9.37  | (324)  ! [v0] :  ! [v1] : ( ~ (well_orders(v0, v1) = 0) |  ~ (relation(v0) = 0) | (is_well_founded_in(v0, v1) = 0 & is_reflexive_in(v0, v1) = 0 & is_transitive_in(v0, v1) = 0 & is_connected_in(v0, v1) = 0 & is_antisymmetric_in(v0, v1) = 0))
% 37.31/9.37  | (325) powerset(empty_set) = all_0_19_19
% 37.31/9.37  | (326)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (is_well_founded_in(v0, v1) = 0) |  ~ (subset(v2, v1) = 0) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] : (disjoint(v4, v2) = 0 & fiber(v0, v3) = v4 & in(v3, v2) = 0))
% 37.31/9.37  | (327)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] : (relation_inverse(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = v0)))
% 37.31/9.37  | (328)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (succ(v0) = v1) |  ~ (ordinal_subset(v1, v2) = v3) |  ? [v4] :  ? [v5] : (( ~ (v4 = 0) & ordinal(v0) = v4) | (ordinal(v2) = v4 & in(v0, v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v3 = 0) & ( ~ (v3 = 0) | v5 = 0))))))
% 37.31/9.37  | (329)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_image(v3, v2) = v1) |  ~ (relation_image(v3, v2) = v0))
% 37.31/9.37  | (330)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (singleton(v1) = v0) |  ~ (subset(v0, v0) = v2))
% 37.31/9.37  | (331)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (element(v1, v3) = 0) |  ~ (element(v0, v2) = v4) |  ~ (powerset(v2) = v3) |  ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5))
% 37.31/9.37  | (332)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = 0 |  ~ (relation_inverse_image(v0, v1) = v2) |  ~ (ordered_pair(v3, v5) = v6) |  ~ (relation(v0) = 0) |  ~ (in(v6, v0) = 0) |  ~ (in(v3, v2) = v4) |  ? [v7] : ( ~ (v7 = 0) & in(v5, v1) = v7))
% 37.31/9.37  | (333)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (epsilon_transitive(v2) = v1) |  ~ (epsilon_transitive(v2) = v0))
% 37.31/9.37  | (334)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_restriction(v0, v2) = v3) |  ~ (relation_dom_restriction(v1, v0) = v2) |  ? [v4] :  ? [v5] : (relation_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 37.31/9.37  | (335)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v1, v0) = v2) |  ? [v3] :  ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0)))
% 37.31/9.37  | (336)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_union2(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v5 = 0) | ( ~ (v7 = 0) &  ~ (v6 = 0))) & (v7 = 0 | v6 = 0 | v5 = 0)))
% 37.31/9.37  | (337)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (identity_relation(v0) = v2) |  ~ (relation(v1) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (ordered_pair(v3, v4) = v5 & in(v5, v1) = v6 & in(v3, v0) = v7 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v4 = v3)) & (v6 = 0 | (v7 = 0 & v4 = v3))))
% 37.31/9.37  | (338)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (proper_subset(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 37.31/9.37  | (339)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v0, v2) = v3) |  ~ (subset(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & subset(v1, v2) = v4))
% 37.31/9.37  | (340)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (antisymmetric(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = 0 & v5 = 0 &  ~ (v3 = v2) & ordered_pair(v3, v2) = v6 & ordered_pair(v2, v3) = v4 & in(v6, v0) = 0 & in(v4, v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2)))
% 37.31/9.37  | (341)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (element(v2, v1) = 0 & empty(v2) = 0))
% 37.31/9.37  | (342)  ! [v0] :  ! [v1] : ( ~ (one_to_one(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v0) = v2 & function(v0) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | v1 = 0)))
% 37.31/9.37  | (343)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_inverse(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (in(v4, v1) = 0) |  ? [v5] :  ? [v6] : ((v6 = 0 & ordered_pair(v3, v2) = v5 & in(v5, v0) = 0) | ( ~ (v5 = 0) & relation(v0) = v5)))
% 37.31/9.37  | (344)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (subset(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & subset(v1, v0) = v2))
% 37.31/9.37  | (345)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (is_reflexive_in(v0, v1) = v2) |  ~ (relation_field(v0) = v1) |  ? [v3] :  ? [v4] : (reflexive(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 37.31/9.37  | (346)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v2) = v0) |  ~ (singleton(v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3))
% 37.31/9.37  | (347)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ? [v4] :  ? [v5] : (relation_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 37.31/9.37  | (348)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (unordered_pair(v1, v2) = v3) |  ? [v4] :  ? [v5] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ( ~ (v4 = v2) &  ~ (v4 = v1))) & (v5 = 0 | v4 = v2 | v4 = v1)))
% 37.31/9.37  | (349)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (well_ordering(v2) = v1) |  ~ (well_ordering(v2) = v0))
% 37.31/9.37  | (350)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (reflexive(v2) = v1) |  ~ (reflexive(v2) = v0))
% 37.31/9.37  | (351) epsilon_connected(empty_set) = 0
% 37.31/9.37  | (352)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ (in(v3, v0) = 0) |  ? [v4] :  ? [v5] : (in(v3, v2) = v5 & in(v3, v1) = v4 & ( ~ (v4 = 0) | v5 = 0)))
% 37.31/9.37  | (353)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (subset_complement(v0, v2) = v3) |  ~ (subset_complement(v0, v1) = v2) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & element(v1, v4) = v5 & powerset(v0) = v4))
% 37.31/9.37  | (354)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_rng(v1) = v0)
% 37.31/9.37  | (355)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ordered_pair(v3, v2) = v1) |  ~ (ordered_pair(v3, v2) = v0))
% 37.31/9.37  | (356)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 37.31/9.37  | (357)  ! [v0] :  ! [v1] : ( ~ (one_to_one(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v3 = 0) |  ~ (v2 = 0) | (( ~ (v1 = 0) |  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (in(v12, v4) = 0) |  ~ (in(v11, v4) = 0) |  ? [v13] :  ? [v14] : ( ~ (v14 = v13) & apply(v0, v12) = v14 & apply(v0, v11) = v13))) & (v1 = 0 | (v10 = v9 & v8 = 0 & v7 = 0 &  ~ (v6 = v5) & apply(v0, v6) = v9 & apply(v0, v5) = v9 & in(v6, v4) = 0 & in(v5, v4) = 0))))))
% 37.31/9.37  | (358)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 37.31/9.37  | (359) one_to_one(all_0_10_10) = 0
% 37.31/9.37  | (360)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_inverse_image(v3, v2) = v1) |  ~ (relation_inverse_image(v3, v2) = v0))
% 37.31/9.37  | (361)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (set_union2(v0, v1) = v2) |  ~ (in(v3, v0) = v4) |  ? [v5] :  ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | v6 = 0)))
% 37.31/9.37  | (362)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (fiber(v3, v2) = v1) |  ~ (fiber(v3, v2) = v0))
% 37.31/9.37  | (363)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_transitive_in(v3, v2) = v1) |  ~ (is_transitive_in(v3, v2) = v0))
% 37.31/9.37  | (364)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (set_meet(v2) = v1) |  ~ (set_meet(v2) = v0))
% 37.31/9.37  | (365)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v0, v2) = v3) |  ~ (singleton(v1) = v2) | in(v1, v0) = 0)
% 37.31/9.37  | (366)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & empty(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 37.31/9.37  | (367)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (set_difference(v0, v1) = v2) |  ~ (subset(v2, v0) = v3))
% 37.31/9.38  | (368)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v1) |  ~ (set_union2(v0, v1) = v2) | succ(v0) = v2)
% 37.31/9.38  | (369)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_difference(v3, v2) = v1) |  ~ (set_difference(v3, v2) = v0))
% 37.31/9.38  | (370)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ (in(v5, v1) = 0) |  ? [v6] :  ? [v7] : (( ~ (v6 = 0) & relation(v1) = v6) | (in(v5, v2) = v7 & in(v4, v0) = v6 & ( ~ (v6 = 0) | v7 = 0))))
% 37.31/9.38  | (371) empty(all_0_5_5) = 0
% 37.31/9.38  | (372)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v2, v3) = v4))
% 37.31/9.38  | (373)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (singleton(v0) = v3) |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4)
% 37.31/9.38  | (374)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (element(v1, v2) = 0) |  ~ (powerset(v0) = v2) |  ? [v3] : (subset_complement(v0, v1) = v3 & set_difference(v0, v1) = v3))
% 37.31/9.38  | (375)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_inverse(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (in(v4, v1) = v5) |  ? [v6] :  ? [v7] : (( ~ (v7 = 0) & ordered_pair(v3, v2) = v6 & in(v6, v0) = v7) | ( ~ (v6 = 0) & relation(v0) = v6)))
% 37.31/9.38  | (376) epsilon_connected(all_0_5_5) = 0
% 37.31/9.38  | (377)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = 0 |  ~ (relation_rng(v2) = v5) |  ~ (relation_dom(v2) = v3) |  ~ (in(v1, v5) = v6) |  ~ (in(v0, v3) = v4) |  ? [v7] :  ? [v8] :  ? [v9] : (ordered_pair(v0, v1) = v8 & relation(v2) = v7 & in(v8, v2) = v9 & ( ~ (v9 = 0) |  ~ (v7 = 0))))
% 37.31/9.38  | (378)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v0) = v3 & empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v2 = 0)))
% 37.31/9.38  | (379) relation(all_0_14_14) = 0
% 37.31/9.38  | (380)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (is_transitive_in(v0, v1) = v2) |  ~ (relation_field(v0) = v1) |  ? [v3] :  ? [v4] : (transitive(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 37.31/9.38  | (381)  ! [v0] : ( ~ (empty(v0) = 0) |  ? [v1] : (relation_dom(v0) = v1 & relation(v1) = 0 & empty(v1) = 0))
% 37.31/9.38  | (382)  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ( ~ (v3 = empty_set) &  ~ (v1 = empty_set)))))
% 37.31/9.38  | (383)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (ordinal(v2) = v1) |  ~ (ordinal(v2) = v0))
% 37.31/9.38  | (384)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = 0 |  ~ (relation_image(v0, v1) = v2) |  ~ (ordered_pair(v5, v3) = v6) |  ~ (relation(v0) = 0) |  ~ (in(v6, v0) = 0) |  ~ (in(v3, v2) = v4) |  ? [v7] : ( ~ (v7 = 0) & in(v5, v1) = v7))
% 37.31/9.38  | (385)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_connected_in(v3, v2) = v1) |  ~ (is_connected_in(v3, v2) = v0))
% 37.31/9.38  | (386)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (disjoint(v2, v1) = v3) |  ~ (singleton(v0) = v2) | in(v0, v1) = 0)
% 37.31/9.38  | (387)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset(v3, v2) = v1) |  ~ (subset(v3, v2) = v0))
% 37.31/9.38  | (388)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (cartesian_product2(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (in(v4, v0) = v5 & ( ~ (v5 = 0) |  ! [v11] :  ! [v12] : ( ~ (ordered_pair(v11, v12) = v4) |  ? [v13] :  ? [v14] : (in(v12, v2) = v14 & in(v11, v1) = v13 & ( ~ (v14 = 0) |  ~ (v13 = 0))))) & (v5 = 0 | (v10 = v4 & v9 = 0 & v8 = 0 & ordered_pair(v6, v7) = v4 & in(v7, v2) = 0 & in(v6, v1) = 0))))
% 37.31/9.38  | (389)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v0) = v1) |  ~ (in(v2, v1) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : ((v5 = 0 & ordered_pair(v2, v3) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3)))
% 37.31/9.38  | (390)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_empty_yielding(v2) = v1) |  ~ (relation_empty_yielding(v2) = v0))
% 37.31/9.38  | (391)  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) | disjoint(v1, v0) = 0)
% 37.31/9.38  | (392)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (fiber(v1, v2) = v3) |  ~ (relation(v1) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (ordered_pair(v4, v2) = v6 & in(v6, v1) = v7 & in(v4, v0) = v5 & ( ~ (v7 = 0) |  ~ (v5 = 0) | v4 = v2) & (v5 = 0 | (v7 = 0 &  ~ (v4 = v2)))))
% 37.31/9.38  | (393)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordinal_subset(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (subset(v0, v1) = v5 & ordinal(v1) = v4 & ordinal(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (( ~ (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | v5 = 0)))))
% 37.31/9.38  | (394)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (union(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (in(v3, v0) = v4 & ( ~ (v4 = 0) |  ! [v8] : ( ~ (in(v3, v8) = 0) |  ? [v9] : ( ~ (v9 = 0) & in(v8, v1) = v9))) & (v4 = 0 | (v7 = 0 & v6 = 0 & in(v5, v1) = 0 & in(v3, v5) = 0))))
% 37.31/9.38  | (395)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (fiber(v0, v1) = v2) |  ~ (ordered_pair(v1, v1) = v3) |  ~ (relation(v0) = 0) |  ~ (in(v3, v0) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v1, v2) = v5))
% 37.31/9.38  | (396)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_composition(v2, v1) = v3) |  ~ (identity_relation(v0) = v2) |  ? [v4] :  ? [v5] : (relation_dom_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 37.31/9.38  | (397)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (subset_difference(v4, v3, v2) = v1) |  ~ (subset_difference(v4, v3, v2) = v0))
% 37.31/9.38  | (398)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset(v0, v1) = 0) |  ~ (in(v2, v0) = 0) | in(v2, v1) = 0)
% 37.31/9.38  | (399)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (element(v1, v3) = 0) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] : (meet_of_subsets(v0, v1) = v4 & set_meet(v1) = v4))
% 37.31/9.38  | (400) epsilon_connected(all_0_12_12) = 0
% 37.31/9.38  | (401)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (fiber(v0, v1) = v2) |  ~ (ordered_pair(v3, v1) = v4) |  ~ (relation(v0) = 0) |  ~ (in(v4, v0) = 0) | in(v3, v2) = 0)
% 37.31/9.38  | (402)  ! [v0] : ( ~ (epsilon_connected(v0) = 0) |  ? [v1] :  ? [v2] : (ordinal(v0) = v2 & epsilon_transitive(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 37.31/9.38  | (403)  ! [v0] :  ! [v1] : ( ~ (reflexive(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) |  ! [v8] : ( ~ (in(v8, v3) = 0) |  ? [v9] : (ordered_pair(v8, v8) = v9 & in(v9, v0) = 0))) & (v1 = 0 | (v5 = 0 &  ~ (v7 = 0) & ordered_pair(v4, v4) = v6 & in(v6, v0) = v7 & in(v4, v3) = 0))))))
% 37.31/9.38  | (404)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (relation(v1) = 0) |  ~ (relation(v0) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (ordered_pair(v2, v3) = v4 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0)) & (v6 = 0 | v5 = 0)))
% 37.31/9.38  | (405)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (antisymmetric(v2) = v5 & antisymmetric(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 37.31/9.38  | (406)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_rng(v2) = v3) |  ~ (relation_rng(v1) = v4) |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (subset(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6))
% 37.31/9.38  | (407)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (subset(v1, v0) = v2) |  ~ (epsilon_transitive(v0) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3))
% 37.31/9.38  | (408)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, empty_set) = v1))
% 37.31/9.38  | (409)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_inverse(v2) = v1) |  ~ (relation_inverse(v2) = v0))
% 37.31/9.38  | (410)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (element(v0, v2) = 0) |  ~ (powerset(v1) = v2) | subset(v0, v1) = 0)
% 37.31/9.38  | (411)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_difference(v0, empty_set) = v1))
% 37.31/9.38  | (412)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v2, v3) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ (in(v4, v5) = 0) | (in(v1, v3) = 0 & in(v0, v2) = 0))
% 37.31/9.38  | (413) relation_rng(empty_set) = empty_set
% 37.31/9.38  | (414)  ! [v0] :  ! [v1] :  ! [v2] : (v0 = empty_set |  ~ (relation_rng(v1) = v2) |  ~ (subset(v0, v2) = 0) |  ? [v3] :  ? [v4] : (relation_inverse_image(v1, v0) = v4 & relation(v1) = v3 & ( ~ (v4 = empty_set) |  ~ (v3 = 0))))
% 37.31/9.38  | (415)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (is_well_founded_in(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] : ( ~ (v3 = empty_set) & subset(v3, v1) = 0 &  ! [v4] :  ! [v5] : ( ~ (disjoint(v5, v3) = 0) |  ~ (fiber(v0, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6))))
% 37.31/9.38  | (416)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_rng(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) |  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v8, v3) = v9) |  ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v5, v3) = v6 & in(v6, v1) = 0)))))
% 37.31/9.38  | (417)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (relation_restriction(v2, v0) = v3) |  ~ (fiber(v3, v1) = v4) |  ~ (fiber(v2, v1) = v5) |  ~ (subset(v4, v5) = v6) |  ? [v7] : ( ~ (v7 = 0) & relation(v2) = v7))
% 37.31/9.38  | (418)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (element(v3, v2) = v1) |  ~ (element(v3, v2) = v0))
% 37.31/9.38  | (419)  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (relation_rng(v1) = v8 & relation_rng(v0) = v5 & relation_dom(v1) = v6 & relation_dom(v0) = v7 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | (v8 = v7 & v6 = v5))))
% 37.31/9.38  | (420)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (relation_inverse_image(v1, v0) = v2) |  ~ (relation_image(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_rng(v1) = v6 & subset(v0, v6) = v7 & relation(v1) = v4 & function(v1) = v5 & ( ~ (v7 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0))))
% 37.31/9.38  | (421)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (being_limit_ordinal(v0) = 0) |  ~ (succ(v1) = v2) |  ~ (in(v2, v0) = v3) |  ? [v4] :  ? [v5] : (( ~ (v4 = 0) & ordinal(v0) = v4) | (ordinal(v1) = v4 & in(v1, v0) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0)))))
% 37.31/9.38  | (422)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2)
% 37.31/9.38  | (423)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (powerset(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (subset(v3, v1) = v5 & in(v3, v0) = v4 & ( ~ (v5 = 0) |  ~ (v4 = 0)) & (v5 = 0 | v4 = 0)))
% 37.31/9.38  | (424)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_well_founded_in(v3, v2) = v1) |  ~ (is_well_founded_in(v3, v2) = v0))
% 37.31/9.38  | (425)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (element(v1, v3) = 0) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] : ( ~ (v4 = empty_set) & complements_of_subsets(v0, v1) = v4))
% 37.31/9.38  | (426) relation_empty_yielding(all_0_14_14) = 0
% 37.31/9.38  | (427)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (union_of_subsets(v0, v1) = v3) |  ~ (element(v3, v2) = v4) |  ~ (powerset(v0) = v2) |  ? [v5] :  ? [v6] : ( ~ (v6 = 0) & element(v1, v5) = v6 & powerset(v2) = v5))
% 37.31/9.38  | (428)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_dom_restriction(v3, v2) = v1) |  ~ (relation_dom_restriction(v3, v2) = v0))
% 37.31/9.38  | (429)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ (in(v1, v2) = v3))
% 37.31/9.38  | (430) ordinal(all_0_1_1) = 0
% 37.31/9.38  | (431)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_composition(v0, v1) = v2) |  ~ (relation_rng(v2) = v3) |  ~ (relation_rng(v1) = v4) |  ~ (subset(v3, v4) = v5) |  ~ (relation(v0) = 0) |  ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6))
% 37.31/9.38  | (432)  ! [v0] : ( ~ (function(v0) = 0) |  ? [v1] :  ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_inverse_image(v0, v3) = v4) |  ~ (apply(v0, v5) = v6) |  ~ (in(v6, v3) = v7) |  ? [v8] :  ? [v9] : (in(v5, v4) = v8 & in(v5, v2) = v9 & ( ~ (v8 = 0) | (v9 = 0 & v7 = 0)))) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_inverse_image(v0, v3) = v4) |  ~ (apply(v0, v5) = v6) |  ~ (in(v6, v3) = 0) |  ? [v7] :  ? [v8] : (in(v5, v4) = v8 & in(v5, v2) = v7 & ( ~ (v7 = 0) | v8 = 0))) &  ? [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (relation_inverse_image(v0, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (apply(v0, v6) = v9 & in(v9, v4) = v10 & in(v6, v3) = v7 & in(v6, v2) = v8 & ( ~ (v10 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0)) & (v7 = 0 | (v10 = 0 & v8 = 0))))))))
% 37.31/9.38  | (433)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v1, v1) = v2) |  ~ (set_intersection2(v0, v2) = v3) |  ~ (relation(v0) = 0) | relation_restriction(v0, v1) = v3)
% 37.31/9.38  | (434) relation(all_0_4_4) = 0
% 37.31/9.38  | (435) one_to_one(all_0_5_5) = 0
% 37.31/9.38  | (436)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (connected(v2) = v5 & connected(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 37.31/9.39  | (437)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom(v1) = v2) |  ~ (set_intersection2(v2, v0) = v3) |  ? [v4] :  ? [v5] :  ? [v6] : (relation_dom(v5) = v6 & relation_dom_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v6 = v3)))
% 37.31/9.39  | (438)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (subset_difference(v0, v1, v2) = v4) |  ~ (element(v4, v3) = v5) |  ~ (powerset(v0) = v3) |  ? [v6] :  ? [v7] : (element(v2, v3) = v7 & element(v1, v3) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0))))
% 37.31/9.39  | (439)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (being_limit_ordinal(v2) = v1) |  ~ (being_limit_ordinal(v2) = v0))
% 37.31/9.39  | (440)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (union(v2) = v1) |  ~ (union(v2) = v0))
% 37.31/9.39  | (441)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation(v2) = v5 & relation(v0) = v3 & function(v2) = v6 & function(v0) = v4 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 37.31/9.39  | (442)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (are_equipotent(v3, v2) = v1) |  ~ (are_equipotent(v3, v2) = v0))
% 37.31/9.39  | (443)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ (in(v5, v1) = v6) |  ? [v7] :  ? [v8] : (( ~ (v7 = 0) & relation(v1) = v7) | (in(v5, v2) = v7 & in(v4, v0) = v8 & ( ~ (v7 = 0) | (v8 = 0 & v6 = 0)))))
% 37.31/9.39  | (444)  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2))
% 37.31/9.39  | (445)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3))
% 37.31/9.39  | (446)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (singleton(v2) = v1) |  ~ (singleton(v2) = v0))
% 37.31/9.39  | (447)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (element(v0, v2) = v3) |  ~ (powerset(v1) = v2) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 37.31/9.39  | (448)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v1) = v2) |  ~ (set_intersection2(v2, v0) = v3) |  ? [v4] :  ? [v5] :  ? [v6] : (relation_rng(v5) = v6 & relation_rng_restriction(v0, v1) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v6 = v3)))
% 37.31/9.39  | (449)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (transitive(v2) = v1) |  ~ (transitive(v2) = v0))
% 37.31/9.39  | (450) ordinal(empty_set) = 0
% 37.31/9.39  | (451)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (complements_of_subsets(v3, v2) = v1) |  ~ (complements_of_subsets(v3, v2) = v0))
% 37.31/9.39  | (452)  ! [v0] : (v0 = empty_set |  ~ (subset(v0, empty_set) = 0))
% 37.31/9.39  | (453)  ? [v0] : (v0 = empty_set |  ? [v1] : in(v1, v0) = 0)
% 37.31/9.39  | (454)  ! [v0] :  ! [v1] : ( ~ (element(v0, v1) = 0) |  ? [v2] :  ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0)))
% 37.31/9.39  | (455) function(all_0_0_0) = 0
% 37.31/9.39  | (456)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_field(v0) = v1) |  ~ (is_antisymmetric_in(v0, v1) = v2) |  ? [v3] :  ? [v4] : (antisymmetric(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 37.31/9.39  | (457) epsilon_transitive(all_0_5_5) = 0
% 37.31/9.39  | (458)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation_empty_yielding(v2) = v6 & relation_empty_yielding(v0) = v4 & relation(v2) = v5 & relation(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 37.31/9.39  | (459)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = v0) & set_difference(v0, v1) = v3))
% 37.31/9.39  | (460)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (is_reflexive_in(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & ordered_pair(v3, v3) = v4 & in(v4, v0) = v5 & in(v3, v1) = 0))
% 37.31/9.39  | (461)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3))
% 37.31/9.39  | (462)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ (in(v3, v0) = v4) |  ? [v5] :  ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v6 = 0 & v4 = 0))))
% 37.31/9.39  | (463)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (relation_dom(v2) = v3) |  ~ (relation_dom(v1) = v4) |  ~ (subset(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6))
% 37.31/9.39  | (464) ordinal(all_0_5_5) = 0
% 37.31/9.39  |
% 37.31/9.39  | Instantiating formula (34) with all_0_16_16, all_0_17_17, all_0_18_18 and discharging atoms relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16, yields:
% 37.31/9.39  | (465)  ? [v0] :  ? [v1] :  ? [v2] : (reflexive(all_0_16_16) = v2 & reflexive(all_0_17_17) = v1 & relation(all_0_17_17) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = 0))
% 37.31/9.39  |
% 37.31/9.39  | Instantiating formula (44) with all_0_16_16, all_0_17_17, all_0_18_18 and discharging atoms relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16, yields:
% 37.31/9.39  | (466)  ? [v0] :  ? [v1] :  ? [v2] : (well_founded_relation(all_0_16_16) = v2 & well_founded_relation(all_0_17_17) = v1 & relation(all_0_17_17) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = 0))
% 37.31/9.39  |
% 37.31/9.39  | Instantiating formula (279) with all_0_16_16, all_0_17_17, all_0_18_18 and discharging atoms relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16, yields:
% 37.31/9.39  | (467)  ? [v0] :  ? [v1] :  ? [v2] : (transitive(all_0_16_16) = v2 & transitive(all_0_17_17) = v1 & relation(all_0_17_17) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = 0))
% 37.31/9.39  |
% 37.31/9.39  | Instantiating formula (436) with all_0_16_16, all_0_17_17, all_0_18_18 and discharging atoms relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16, yields:
% 37.31/9.39  | (468)  ? [v0] :  ? [v1] :  ? [v2] : (connected(all_0_16_16) = v2 & connected(all_0_17_17) = v1 & relation(all_0_17_17) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = 0))
% 37.31/9.39  |
% 37.31/9.39  | Instantiating formula (405) with all_0_16_16, all_0_17_17, all_0_18_18 and discharging atoms relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16, yields:
% 37.31/9.39  | (469)  ? [v0] :  ? [v1] :  ? [v2] : (antisymmetric(all_0_16_16) = v2 & antisymmetric(all_0_17_17) = v1 & relation(all_0_17_17) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = 0))
% 37.31/9.39  |
% 37.31/9.39  | Instantiating formula (356) with all_0_16_16, all_0_18_18, all_0_17_17 and discharging atoms relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16, yields:
% 37.31/9.39  | (470)  ? [v0] :  ? [v1] : (relation(all_0_16_16) = v1 & relation(all_0_17_17) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 37.31/9.39  |
% 37.31/9.39  | Instantiating formula (308) with all_0_15_15, all_0_16_16 and discharging atoms well_ordering(all_0_16_16) = all_0_15_15, yields:
% 37.31/9.39  | (471)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (reflexive(all_0_16_16) = v1 & well_founded_relation(all_0_16_16) = v5 & transitive(all_0_16_16) = v2 & connected(all_0_16_16) = v4 & antisymmetric(all_0_16_16) = v3 & relation(all_0_16_16) = v0 & ( ~ (v0 = 0) | (( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) |  ~ (v1 = 0) | all_0_15_15 = 0) & ( ~ (all_0_15_15 = 0) | (v5 = 0 & v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0)))))
% 37.31/9.39  |
% 37.31/9.39  | Instantiating formula (308) with 0, all_0_17_17 and discharging atoms well_ordering(all_0_17_17) = 0, yields:
% 37.31/9.39  | (472)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (reflexive(all_0_17_17) = v1 & well_founded_relation(all_0_17_17) = v5 & transitive(all_0_17_17) = v2 & connected(all_0_17_17) = v4 & antisymmetric(all_0_17_17) = v3 & relation(all_0_17_17) = v0 & ( ~ (v0 = 0) | (v5 = 0 & v4 = 0 & v3 = 0 & v2 = 0 & v1 = 0)))
% 37.31/9.39  |
% 37.31/9.39  | Instantiating (468) with all_118_0_99, all_118_1_100, all_118_2_101 yields:
% 37.31/9.39  | (473) connected(all_0_16_16) = all_118_0_99 & connected(all_0_17_17) = all_118_1_100 & relation(all_0_17_17) = all_118_2_101 & ( ~ (all_118_1_100 = 0) |  ~ (all_118_2_101 = 0) | all_118_0_99 = 0)
% 37.31/9.39  |
% 37.31/9.39  | Applying alpha-rule on (473) yields:
% 37.31/9.39  | (474) connected(all_0_16_16) = all_118_0_99
% 37.31/9.39  | (475) connected(all_0_17_17) = all_118_1_100
% 37.31/9.39  | (476) relation(all_0_17_17) = all_118_2_101
% 37.31/9.39  | (477)  ~ (all_118_1_100 = 0) |  ~ (all_118_2_101 = 0) | all_118_0_99 = 0
% 37.31/9.39  |
% 37.31/9.39  | Instantiating (467) with all_120_0_102, all_120_1_103, all_120_2_104 yields:
% 37.31/9.39  | (478) transitive(all_0_16_16) = all_120_0_102 & transitive(all_0_17_17) = all_120_1_103 & relation(all_0_17_17) = all_120_2_104 & ( ~ (all_120_1_103 = 0) |  ~ (all_120_2_104 = 0) | all_120_0_102 = 0)
% 37.31/9.39  |
% 37.31/9.39  | Applying alpha-rule on (478) yields:
% 37.31/9.39  | (479) transitive(all_0_16_16) = all_120_0_102
% 37.31/9.39  | (480) transitive(all_0_17_17) = all_120_1_103
% 37.31/9.39  | (481) relation(all_0_17_17) = all_120_2_104
% 37.31/9.39  | (482)  ~ (all_120_1_103 = 0) |  ~ (all_120_2_104 = 0) | all_120_0_102 = 0
% 37.31/9.39  |
% 37.31/9.39  | Instantiating (472) with all_124_0_107, all_124_1_108, all_124_2_109, all_124_3_110, all_124_4_111, all_124_5_112 yields:
% 37.31/9.39  | (483) reflexive(all_0_17_17) = all_124_4_111 & well_founded_relation(all_0_17_17) = all_124_0_107 & transitive(all_0_17_17) = all_124_3_110 & connected(all_0_17_17) = all_124_1_108 & antisymmetric(all_0_17_17) = all_124_2_109 & relation(all_0_17_17) = all_124_5_112 & ( ~ (all_124_5_112 = 0) | (all_124_0_107 = 0 & all_124_1_108 = 0 & all_124_2_109 = 0 & all_124_3_110 = 0 & all_124_4_111 = 0))
% 37.31/9.39  |
% 37.31/9.39  | Applying alpha-rule on (483) yields:
% 37.31/9.39  | (484) antisymmetric(all_0_17_17) = all_124_2_109
% 37.31/9.39  | (485) reflexive(all_0_17_17) = all_124_4_111
% 37.31/9.39  | (486) relation(all_0_17_17) = all_124_5_112
% 37.31/9.39  | (487) connected(all_0_17_17) = all_124_1_108
% 37.31/9.39  | (488)  ~ (all_124_5_112 = 0) | (all_124_0_107 = 0 & all_124_1_108 = 0 & all_124_2_109 = 0 & all_124_3_110 = 0 & all_124_4_111 = 0)
% 37.31/9.39  | (489) transitive(all_0_17_17) = all_124_3_110
% 37.31/9.39  | (490) well_founded_relation(all_0_17_17) = all_124_0_107
% 37.31/9.39  |
% 37.31/9.39  | Instantiating (471) with all_126_0_113, all_126_1_114, all_126_2_115, all_126_3_116, all_126_4_117, all_126_5_118 yields:
% 37.31/9.39  | (491) reflexive(all_0_16_16) = all_126_4_117 & well_founded_relation(all_0_16_16) = all_126_0_113 & transitive(all_0_16_16) = all_126_3_116 & connected(all_0_16_16) = all_126_1_114 & antisymmetric(all_0_16_16) = all_126_2_115 & relation(all_0_16_16) = all_126_5_118 & ( ~ (all_126_5_118 = 0) | (( ~ (all_126_0_113 = 0) |  ~ (all_126_1_114 = 0) |  ~ (all_126_2_115 = 0) |  ~ (all_126_3_116 = 0) |  ~ (all_126_4_117 = 0) | all_0_15_15 = 0) & ( ~ (all_0_15_15 = 0) | (all_126_0_113 = 0 & all_126_1_114 = 0 & all_126_2_115 = 0 & all_126_3_116 = 0 & all_126_4_117 = 0))))
% 37.31/9.39  |
% 37.31/9.39  | Applying alpha-rule on (491) yields:
% 37.31/9.39  | (492) transitive(all_0_16_16) = all_126_3_116
% 37.31/9.39  | (493) connected(all_0_16_16) = all_126_1_114
% 37.31/9.39  | (494) relation(all_0_16_16) = all_126_5_118
% 37.31/9.39  | (495)  ~ (all_126_5_118 = 0) | (( ~ (all_126_0_113 = 0) |  ~ (all_126_1_114 = 0) |  ~ (all_126_2_115 = 0) |  ~ (all_126_3_116 = 0) |  ~ (all_126_4_117 = 0) | all_0_15_15 = 0) & ( ~ (all_0_15_15 = 0) | (all_126_0_113 = 0 & all_126_1_114 = 0 & all_126_2_115 = 0 & all_126_3_116 = 0 & all_126_4_117 = 0)))
% 37.31/9.39  | (496) well_founded_relation(all_0_16_16) = all_126_0_113
% 37.31/9.39  | (497) reflexive(all_0_16_16) = all_126_4_117
% 37.31/9.39  | (498) antisymmetric(all_0_16_16) = all_126_2_115
% 37.31/9.39  |
% 37.31/9.39  | Instantiating (466) with all_128_0_119, all_128_1_120, all_128_2_121 yields:
% 37.31/9.39  | (499) well_founded_relation(all_0_16_16) = all_128_0_119 & well_founded_relation(all_0_17_17) = all_128_1_120 & relation(all_0_17_17) = all_128_2_121 & ( ~ (all_128_1_120 = 0) |  ~ (all_128_2_121 = 0) | all_128_0_119 = 0)
% 37.31/9.40  |
% 37.31/9.40  | Applying alpha-rule on (499) yields:
% 37.31/9.40  | (500) well_founded_relation(all_0_16_16) = all_128_0_119
% 37.31/9.40  | (501) well_founded_relation(all_0_17_17) = all_128_1_120
% 37.31/9.40  | (502) relation(all_0_17_17) = all_128_2_121
% 37.31/9.40  | (503)  ~ (all_128_1_120 = 0) |  ~ (all_128_2_121 = 0) | all_128_0_119 = 0
% 37.31/9.40  |
% 37.31/9.40  | Instantiating (465) with all_142_0_136, all_142_1_137, all_142_2_138 yields:
% 37.31/9.40  | (504) reflexive(all_0_16_16) = all_142_0_136 & reflexive(all_0_17_17) = all_142_1_137 & relation(all_0_17_17) = all_142_2_138 & ( ~ (all_142_1_137 = 0) |  ~ (all_142_2_138 = 0) | all_142_0_136 = 0)
% 37.31/9.40  |
% 37.31/9.40  | Applying alpha-rule on (504) yields:
% 37.31/9.40  | (505) reflexive(all_0_16_16) = all_142_0_136
% 37.31/9.40  | (506) reflexive(all_0_17_17) = all_142_1_137
% 37.31/9.40  | (507) relation(all_0_17_17) = all_142_2_138
% 37.31/9.40  | (508)  ~ (all_142_1_137 = 0) |  ~ (all_142_2_138 = 0) | all_142_0_136 = 0
% 37.31/9.40  |
% 37.31/9.40  | Instantiating (470) with all_144_0_139, all_144_1_140 yields:
% 37.31/9.40  | (509) relation(all_0_16_16) = all_144_0_139 & relation(all_0_17_17) = all_144_1_140 & ( ~ (all_144_1_140 = 0) | all_144_0_139 = 0)
% 37.31/9.40  |
% 37.31/9.40  | Applying alpha-rule on (509) yields:
% 37.31/9.40  | (510) relation(all_0_16_16) = all_144_0_139
% 37.31/9.40  | (511) relation(all_0_17_17) = all_144_1_140
% 37.31/9.40  | (512)  ~ (all_144_1_140 = 0) | all_144_0_139 = 0
% 37.31/9.40  |
% 37.31/9.40  | Instantiating (469) with all_154_0_149, all_154_1_150, all_154_2_151 yields:
% 37.31/9.40  | (513) antisymmetric(all_0_16_16) = all_154_0_149 & antisymmetric(all_0_17_17) = all_154_1_150 & relation(all_0_17_17) = all_154_2_151 & ( ~ (all_154_1_150 = 0) |  ~ (all_154_2_151 = 0) | all_154_0_149 = 0)
% 37.31/9.40  |
% 37.31/9.40  | Applying alpha-rule on (513) yields:
% 37.31/9.40  | (514) antisymmetric(all_0_16_16) = all_154_0_149
% 37.31/9.40  | (515) antisymmetric(all_0_17_17) = all_154_1_150
% 37.31/9.40  | (516) relation(all_0_17_17) = all_154_2_151
% 37.31/9.40  | (517)  ~ (all_154_1_150 = 0) |  ~ (all_154_2_151 = 0) | all_154_0_149 = 0
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (350) with all_0_16_16, all_126_4_117, all_142_0_136 and discharging atoms reflexive(all_0_16_16) = all_142_0_136, reflexive(all_0_16_16) = all_126_4_117, yields:
% 37.31/9.40  | (518) all_142_0_136 = all_126_4_117
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (350) with all_0_17_17, all_124_4_111, all_142_1_137 and discharging atoms reflexive(all_0_17_17) = all_142_1_137, reflexive(all_0_17_17) = all_124_4_111, yields:
% 37.31/9.40  | (519) all_142_1_137 = all_124_4_111
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (130) with all_0_16_16, all_126_0_113, all_128_0_119 and discharging atoms well_founded_relation(all_0_16_16) = all_128_0_119, well_founded_relation(all_0_16_16) = all_126_0_113, yields:
% 37.31/9.40  | (520) all_128_0_119 = all_126_0_113
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (130) with all_0_17_17, all_124_0_107, all_128_1_120 and discharging atoms well_founded_relation(all_0_17_17) = all_128_1_120, well_founded_relation(all_0_17_17) = all_124_0_107, yields:
% 37.31/9.40  | (521) all_128_1_120 = all_124_0_107
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (449) with all_0_16_16, all_120_0_102, all_126_3_116 and discharging atoms transitive(all_0_16_16) = all_126_3_116, transitive(all_0_16_16) = all_120_0_102, yields:
% 37.31/9.40  | (522) all_126_3_116 = all_120_0_102
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (449) with all_0_17_17, all_120_1_103, all_124_3_110 and discharging atoms transitive(all_0_17_17) = all_124_3_110, transitive(all_0_17_17) = all_120_1_103, yields:
% 37.31/9.40  | (523) all_124_3_110 = all_120_1_103
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (91) with all_0_16_16, all_118_0_99, all_126_1_114 and discharging atoms connected(all_0_16_16) = all_126_1_114, connected(all_0_16_16) = all_118_0_99, yields:
% 37.31/9.40  | (524) all_126_1_114 = all_118_0_99
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (91) with all_0_17_17, all_118_1_100, all_124_1_108 and discharging atoms connected(all_0_17_17) = all_124_1_108, connected(all_0_17_17) = all_118_1_100, yields:
% 37.31/9.40  | (525) all_124_1_108 = all_118_1_100
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (73) with all_0_16_16, all_126_2_115, all_154_0_149 and discharging atoms antisymmetric(all_0_16_16) = all_154_0_149, antisymmetric(all_0_16_16) = all_126_2_115, yields:
% 37.31/9.40  | (526) all_154_0_149 = all_126_2_115
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (73) with all_0_17_17, all_124_2_109, all_154_1_150 and discharging atoms antisymmetric(all_0_17_17) = all_154_1_150, antisymmetric(all_0_17_17) = all_124_2_109, yields:
% 37.31/9.40  | (527) all_154_1_150 = all_124_2_109
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (75) with all_0_16_16, all_126_5_118, all_144_0_139 and discharging atoms relation(all_0_16_16) = all_144_0_139, relation(all_0_16_16) = all_126_5_118, yields:
% 37.31/9.40  | (528) all_144_0_139 = all_126_5_118
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (75) with all_0_17_17, all_144_1_140, all_154_2_151 and discharging atoms relation(all_0_17_17) = all_154_2_151, relation(all_0_17_17) = all_144_1_140, yields:
% 37.31/9.40  | (529) all_154_2_151 = all_144_1_140
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (75) with all_0_17_17, all_142_2_138, all_144_1_140 and discharging atoms relation(all_0_17_17) = all_144_1_140, relation(all_0_17_17) = all_142_2_138, yields:
% 37.31/9.40  | (530) all_144_1_140 = all_142_2_138
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (75) with all_0_17_17, all_128_2_121, 0 and discharging atoms relation(all_0_17_17) = all_128_2_121, relation(all_0_17_17) = 0, yields:
% 37.31/9.40  | (531) all_128_2_121 = 0
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (75) with all_0_17_17, all_128_2_121, all_142_2_138 and discharging atoms relation(all_0_17_17) = all_142_2_138, relation(all_0_17_17) = all_128_2_121, yields:
% 37.31/9.40  | (532) all_142_2_138 = all_128_2_121
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (75) with all_0_17_17, all_124_5_112, all_154_2_151 and discharging atoms relation(all_0_17_17) = all_154_2_151, relation(all_0_17_17) = all_124_5_112, yields:
% 37.31/9.40  | (533) all_154_2_151 = all_124_5_112
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (75) with all_0_17_17, all_120_2_104, all_128_2_121 and discharging atoms relation(all_0_17_17) = all_128_2_121, relation(all_0_17_17) = all_120_2_104, yields:
% 37.31/9.40  | (534) all_128_2_121 = all_120_2_104
% 37.31/9.40  |
% 37.31/9.40  | Instantiating formula (75) with all_0_17_17, all_118_2_101, all_120_2_104 and discharging atoms relation(all_0_17_17) = all_120_2_104, relation(all_0_17_17) = all_118_2_101, yields:
% 37.31/9.40  | (535) all_120_2_104 = all_118_2_101
% 37.31/9.40  |
% 37.31/9.40  | Combining equations (529,533) yields a new equation:
% 37.31/9.40  | (536) all_144_1_140 = all_124_5_112
% 37.31/9.40  |
% 37.31/9.40  | Simplifying 536 yields:
% 37.31/9.40  | (537) all_144_1_140 = all_124_5_112
% 37.31/9.40  |
% 37.31/9.40  | Combining equations (530,537) yields a new equation:
% 37.31/9.40  | (538) all_142_2_138 = all_124_5_112
% 37.31/9.40  |
% 37.31/9.40  | Simplifying 538 yields:
% 37.31/9.40  | (539) all_142_2_138 = all_124_5_112
% 37.31/9.40  |
% 37.31/9.40  | Combining equations (532,539) yields a new equation:
% 37.31/9.40  | (540) all_128_2_121 = all_124_5_112
% 37.31/9.40  |
% 37.31/9.40  | Simplifying 540 yields:
% 37.31/9.40  | (541) all_128_2_121 = all_124_5_112
% 37.31/9.40  |
% 37.31/9.40  | Combining equations (531,541) yields a new equation:
% 37.31/9.40  | (542) all_124_5_112 = 0
% 37.31/9.40  |
% 37.31/9.40  | Combining equations (534,541) yields a new equation:
% 37.31/9.40  | (543) all_124_5_112 = all_120_2_104
% 37.31/9.40  |
% 37.31/9.40  | Combining equations (543,542) yields a new equation:
% 37.31/9.40  | (544) all_120_2_104 = 0
% 37.31/9.40  |
% 37.31/9.40  | Simplifying 544 yields:
% 37.31/9.40  | (545) all_120_2_104 = 0
% 37.31/9.40  |
% 37.31/9.40  | Combining equations (535,545) yields a new equation:
% 37.31/9.40  | (546) all_118_2_101 = 0
% 37.31/9.40  |
% 37.31/9.40  | Simplifying 546 yields:
% 37.31/9.40  | (547) all_118_2_101 = 0
% 37.31/9.40  |
% 37.31/9.40  | Combining equations (542,541) yields a new equation:
% 37.31/9.40  | (531) all_128_2_121 = 0
% 37.31/9.40  |
% 37.31/9.40  | Combining equations (542,539) yields a new equation:
% 37.31/9.40  | (549) all_142_2_138 = 0
% 37.31/9.40  |
% 37.31/9.40  | Combining equations (542,537) yields a new equation:
% 37.31/9.40  | (550) all_144_1_140 = 0
% 37.31/9.40  |
% 37.31/9.40  | Combining equations (542,533) yields a new equation:
% 37.31/9.40  | (551) all_154_2_151 = 0
% 37.31/9.40  |
% 37.31/9.40  +-Applying beta-rule and splitting (488), into two cases.
% 37.31/9.40  |-Branch one:
% 37.31/9.40  | (552)  ~ (all_124_5_112 = 0)
% 37.31/9.40  |
% 37.31/9.40  	| Equations (542) can reduce 552 to:
% 37.72/9.40  	| (553) $false
% 37.72/9.40  	|
% 37.72/9.40  	|-The branch is then unsatisfiable
% 37.72/9.40  |-Branch two:
% 37.72/9.40  | (542) all_124_5_112 = 0
% 37.72/9.40  | (555) all_124_0_107 = 0 & all_124_1_108 = 0 & all_124_2_109 = 0 & all_124_3_110 = 0 & all_124_4_111 = 0
% 37.72/9.40  |
% 37.72/9.40  	| Applying alpha-rule on (555) yields:
% 37.72/9.40  	| (556) all_124_4_111 = 0
% 37.72/9.40  	| (557) all_124_3_110 = 0
% 37.72/9.40  	| (558) all_124_2_109 = 0
% 37.72/9.40  	| (559) all_124_0_107 = 0
% 37.72/9.40  	| (560) all_124_1_108 = 0
% 37.72/9.40  	|
% 37.72/9.40  	| Combining equations (560,525) yields a new equation:
% 37.72/9.40  	| (561) all_118_1_100 = 0
% 37.72/9.40  	|
% 37.72/9.40  	| Combining equations (523,557) yields a new equation:
% 37.72/9.40  	| (562) all_120_1_103 = 0
% 37.72/9.40  	|
% 37.72/9.40  	| Simplifying 562 yields:
% 37.72/9.41  	| (563) all_120_1_103 = 0
% 37.72/9.41  	|
% 37.72/9.41  	| Combining equations (559,521) yields a new equation:
% 37.72/9.41  	| (564) all_128_1_120 = 0
% 37.72/9.41  	|
% 37.72/9.41  	| Combining equations (556,519) yields a new equation:
% 37.72/9.41  	| (565) all_142_1_137 = 0
% 37.72/9.41  	|
% 37.72/9.41  	| Combining equations (558,527) yields a new equation:
% 37.72/9.41  	| (566) all_154_1_150 = 0
% 37.72/9.41  	|
% 37.72/9.41  	+-Applying beta-rule and splitting (477), into two cases.
% 37.72/9.41  	|-Branch one:
% 37.72/9.41  	| (567)  ~ (all_118_1_100 = 0)
% 37.72/9.41  	|
% 37.72/9.41  		| Equations (561) can reduce 567 to:
% 37.72/9.41  		| (553) $false
% 37.72/9.41  		|
% 37.72/9.41  		|-The branch is then unsatisfiable
% 37.72/9.41  	|-Branch two:
% 37.72/9.41  	| (561) all_118_1_100 = 0
% 37.72/9.41  	| (570)  ~ (all_118_2_101 = 0) | all_118_0_99 = 0
% 37.72/9.41  	|
% 37.72/9.41  		+-Applying beta-rule and splitting (512), into two cases.
% 37.72/9.41  		|-Branch one:
% 37.72/9.41  		| (571)  ~ (all_144_1_140 = 0)
% 37.72/9.41  		|
% 37.72/9.41  			| Equations (550) can reduce 571 to:
% 37.72/9.41  			| (553) $false
% 37.72/9.41  			|
% 37.72/9.41  			|-The branch is then unsatisfiable
% 37.72/9.41  		|-Branch two:
% 37.72/9.41  		| (550) all_144_1_140 = 0
% 37.72/9.41  		| (574) all_144_0_139 = 0
% 37.72/9.41  		|
% 37.72/9.41  			| Combining equations (574,528) yields a new equation:
% 37.72/9.41  			| (575) all_126_5_118 = 0
% 37.72/9.41  			|
% 37.72/9.41  			+-Applying beta-rule and splitting (508), into two cases.
% 37.72/9.41  			|-Branch one:
% 37.72/9.41  			| (576)  ~ (all_142_1_137 = 0)
% 37.72/9.41  			|
% 37.72/9.41  				| Equations (565) can reduce 576 to:
% 37.72/9.41  				| (553) $false
% 37.72/9.41  				|
% 37.72/9.41  				|-The branch is then unsatisfiable
% 37.72/9.41  			|-Branch two:
% 37.72/9.41  			| (565) all_142_1_137 = 0
% 37.72/9.41  			| (579)  ~ (all_142_2_138 = 0) | all_142_0_136 = 0
% 37.72/9.41  			|
% 37.72/9.41  				+-Applying beta-rule and splitting (579), into two cases.
% 37.72/9.41  				|-Branch one:
% 37.72/9.41  				| (580)  ~ (all_142_2_138 = 0)
% 37.72/9.41  				|
% 37.72/9.41  					| Equations (549) can reduce 580 to:
% 37.72/9.41  					| (553) $false
% 37.72/9.41  					|
% 37.72/9.41  					|-The branch is then unsatisfiable
% 37.72/9.41  				|-Branch two:
% 37.72/9.41  				| (549) all_142_2_138 = 0
% 37.72/9.41  				| (583) all_142_0_136 = 0
% 37.72/9.41  				|
% 37.72/9.41  					| Combining equations (583,518) yields a new equation:
% 37.72/9.41  					| (584) all_126_4_117 = 0
% 37.72/9.41  					|
% 37.72/9.41  					+-Applying beta-rule and splitting (570), into two cases.
% 37.72/9.41  					|-Branch one:
% 37.72/9.41  					| (585)  ~ (all_118_2_101 = 0)
% 37.72/9.41  					|
% 37.72/9.41  						| Equations (547) can reduce 585 to:
% 37.72/9.41  						| (553) $false
% 37.72/9.41  						|
% 37.72/9.41  						|-The branch is then unsatisfiable
% 37.72/9.41  					|-Branch two:
% 37.72/9.41  					| (547) all_118_2_101 = 0
% 37.72/9.41  					| (588) all_118_0_99 = 0
% 37.72/9.41  					|
% 37.72/9.41  						| Combining equations (588,524) yields a new equation:
% 37.72/9.41  						| (589) all_126_1_114 = 0
% 37.72/9.41  						|
% 37.72/9.41  						+-Applying beta-rule and splitting (517), into two cases.
% 37.72/9.41  						|-Branch one:
% 37.72/9.41  						| (590)  ~ (all_154_1_150 = 0)
% 37.72/9.41  						|
% 37.72/9.41  							| Equations (566) can reduce 590 to:
% 37.72/9.41  							| (553) $false
% 37.72/9.41  							|
% 37.72/9.41  							|-The branch is then unsatisfiable
% 37.72/9.41  						|-Branch two:
% 37.72/9.41  						| (566) all_154_1_150 = 0
% 37.72/9.41  						| (593)  ~ (all_154_2_151 = 0) | all_154_0_149 = 0
% 37.72/9.41  						|
% 37.72/9.41  							+-Applying beta-rule and splitting (503), into two cases.
% 37.72/9.41  							|-Branch one:
% 37.72/9.41  							| (594)  ~ (all_128_1_120 = 0)
% 37.72/9.41  							|
% 37.72/9.41  								| Equations (564) can reduce 594 to:
% 37.72/9.41  								| (553) $false
% 37.72/9.41  								|
% 37.72/9.41  								|-The branch is then unsatisfiable
% 37.72/9.41  							|-Branch two:
% 37.72/9.41  							| (564) all_128_1_120 = 0
% 37.72/9.41  							| (597)  ~ (all_128_2_121 = 0) | all_128_0_119 = 0
% 37.72/9.41  							|
% 37.72/9.41  								+-Applying beta-rule and splitting (482), into two cases.
% 37.72/9.41  								|-Branch one:
% 37.72/9.41  								| (598)  ~ (all_120_1_103 = 0)
% 37.72/9.41  								|
% 37.72/9.41  									| Equations (563) can reduce 598 to:
% 37.72/9.41  									| (553) $false
% 37.72/9.41  									|
% 37.72/9.41  									|-The branch is then unsatisfiable
% 37.72/9.41  								|-Branch two:
% 37.72/9.41  								| (563) all_120_1_103 = 0
% 37.72/9.41  								| (601)  ~ (all_120_2_104 = 0) | all_120_0_102 = 0
% 37.72/9.41  								|
% 37.72/9.41  									+-Applying beta-rule and splitting (593), into two cases.
% 37.72/9.41  									|-Branch one:
% 37.72/9.41  									| (602)  ~ (all_154_2_151 = 0)
% 37.72/9.41  									|
% 37.72/9.41  										| Equations (551) can reduce 602 to:
% 37.72/9.41  										| (553) $false
% 37.72/9.41  										|
% 37.72/9.41  										|-The branch is then unsatisfiable
% 37.72/9.41  									|-Branch two:
% 37.72/9.41  									| (551) all_154_2_151 = 0
% 37.72/9.41  									| (605) all_154_0_149 = 0
% 37.72/9.41  									|
% 37.72/9.41  										| Combining equations (526,605) yields a new equation:
% 37.72/9.41  										| (606) all_126_2_115 = 0
% 37.72/9.41  										|
% 37.72/9.41  										| Simplifying 606 yields:
% 37.72/9.41  										| (607) all_126_2_115 = 0
% 37.72/9.41  										|
% 37.72/9.41  										+-Applying beta-rule and splitting (601), into two cases.
% 37.72/9.41  										|-Branch one:
% 37.72/9.41  										| (608)  ~ (all_120_2_104 = 0)
% 37.72/9.41  										|
% 37.72/9.41  											| Equations (545) can reduce 608 to:
% 37.72/9.41  											| (553) $false
% 37.72/9.41  											|
% 37.72/9.41  											|-The branch is then unsatisfiable
% 37.72/9.41  										|-Branch two:
% 37.72/9.41  										| (545) all_120_2_104 = 0
% 37.72/9.41  										| (611) all_120_0_102 = 0
% 37.72/9.41  										|
% 37.72/9.41  											| Combining equations (611,522) yields a new equation:
% 37.72/9.41  											| (612) all_126_3_116 = 0
% 37.72/9.41  											|
% 37.72/9.41  											+-Applying beta-rule and splitting (495), into two cases.
% 37.72/9.41  											|-Branch one:
% 37.72/9.41  											| (613)  ~ (all_126_5_118 = 0)
% 37.72/9.41  											|
% 37.72/9.41  												| Equations (575) can reduce 613 to:
% 37.72/9.41  												| (553) $false
% 37.72/9.41  												|
% 37.72/9.41  												|-The branch is then unsatisfiable
% 37.72/9.41  											|-Branch two:
% 37.72/9.41  											| (575) all_126_5_118 = 0
% 37.72/9.41  											| (616) ( ~ (all_126_0_113 = 0) |  ~ (all_126_1_114 = 0) |  ~ (all_126_2_115 = 0) |  ~ (all_126_3_116 = 0) |  ~ (all_126_4_117 = 0) | all_0_15_15 = 0) & ( ~ (all_0_15_15 = 0) | (all_126_0_113 = 0 & all_126_1_114 = 0 & all_126_2_115 = 0 & all_126_3_116 = 0 & all_126_4_117 = 0))
% 37.72/9.41  											|
% 37.72/9.41  												| Applying alpha-rule on (616) yields:
% 37.72/9.41  												| (617)  ~ (all_126_0_113 = 0) |  ~ (all_126_1_114 = 0) |  ~ (all_126_2_115 = 0) |  ~ (all_126_3_116 = 0) |  ~ (all_126_4_117 = 0) | all_0_15_15 = 0
% 37.72/9.41  												| (618)  ~ (all_0_15_15 = 0) | (all_126_0_113 = 0 & all_126_1_114 = 0 & all_126_2_115 = 0 & all_126_3_116 = 0 & all_126_4_117 = 0)
% 37.72/9.41  												|
% 37.72/9.41  												+-Applying beta-rule and splitting (617), into two cases.
% 37.72/9.41  												|-Branch one:
% 37.72/9.41  												| (619)  ~ (all_126_0_113 = 0)
% 37.72/9.41  												|
% 37.72/9.41  													+-Applying beta-rule and splitting (597), into two cases.
% 37.72/9.41  													|-Branch one:
% 37.72/9.41  													| (620)  ~ (all_128_2_121 = 0)
% 37.72/9.41  													|
% 37.72/9.41  														| Equations (531) can reduce 620 to:
% 37.72/9.41  														| (553) $false
% 37.72/9.41  														|
% 37.72/9.41  														|-The branch is then unsatisfiable
% 37.72/9.41  													|-Branch two:
% 37.72/9.41  													| (531) all_128_2_121 = 0
% 37.72/9.41  													| (623) all_128_0_119 = 0
% 37.72/9.41  													|
% 37.72/9.41  														| Combining equations (623,520) yields a new equation:
% 37.72/9.41  														| (624) all_126_0_113 = 0
% 37.72/9.41  														|
% 37.72/9.41  														| Equations (624) can reduce 619 to:
% 37.72/9.41  														| (553) $false
% 37.72/9.41  														|
% 37.72/9.41  														|-The branch is then unsatisfiable
% 37.72/9.41  												|-Branch two:
% 37.72/9.41  												| (624) all_126_0_113 = 0
% 37.72/9.41  												| (627)  ~ (all_126_1_114 = 0) |  ~ (all_126_2_115 = 0) |  ~ (all_126_3_116 = 0) |  ~ (all_126_4_117 = 0) | all_0_15_15 = 0
% 37.72/9.41  												|
% 37.72/9.41  													+-Applying beta-rule and splitting (627), into two cases.
% 37.72/9.41  													|-Branch one:
% 37.72/9.41  													| (628)  ~ (all_126_1_114 = 0)
% 37.72/9.41  													|
% 37.72/9.41  														| Equations (589) can reduce 628 to:
% 37.72/9.41  														| (553) $false
% 37.72/9.41  														|
% 37.72/9.41  														|-The branch is then unsatisfiable
% 37.72/9.41  													|-Branch two:
% 37.72/9.41  													| (589) all_126_1_114 = 0
% 37.72/9.41  													| (631)  ~ (all_126_2_115 = 0) |  ~ (all_126_3_116 = 0) |  ~ (all_126_4_117 = 0) | all_0_15_15 = 0
% 37.72/9.41  													|
% 37.72/9.41  														+-Applying beta-rule and splitting (631), into two cases.
% 37.72/9.41  														|-Branch one:
% 37.72/9.41  														| (632)  ~ (all_126_2_115 = 0)
% 37.72/9.41  														|
% 37.72/9.41  															| Equations (607) can reduce 632 to:
% 37.72/9.41  															| (553) $false
% 37.72/9.41  															|
% 37.72/9.41  															|-The branch is then unsatisfiable
% 37.72/9.41  														|-Branch two:
% 37.72/9.41  														| (607) all_126_2_115 = 0
% 37.72/9.41  														| (635)  ~ (all_126_3_116 = 0) |  ~ (all_126_4_117 = 0) | all_0_15_15 = 0
% 37.72/9.41  														|
% 37.72/9.41  															+-Applying beta-rule and splitting (635), into two cases.
% 37.72/9.41  															|-Branch one:
% 37.72/9.41  															| (636)  ~ (all_126_3_116 = 0)
% 37.72/9.41  															|
% 37.72/9.41  																| Equations (612) can reduce 636 to:
% 37.72/9.41  																| (553) $false
% 37.72/9.41  																|
% 37.72/9.41  																|-The branch is then unsatisfiable
% 37.72/9.41  															|-Branch two:
% 37.72/9.41  															| (612) all_126_3_116 = 0
% 37.72/9.41  															| (639)  ~ (all_126_4_117 = 0) | all_0_15_15 = 0
% 37.72/9.41  															|
% 37.72/9.41  																+-Applying beta-rule and splitting (639), into two cases.
% 37.72/9.41  																|-Branch one:
% 37.72/9.41  																| (640)  ~ (all_126_4_117 = 0)
% 37.72/9.41  																|
% 37.72/9.41  																	| Equations (584) can reduce 640 to:
% 37.72/9.41  																	| (553) $false
% 37.72/9.41  																	|
% 37.72/9.41  																	|-The branch is then unsatisfiable
% 37.72/9.41  																|-Branch two:
% 37.72/9.41  																| (584) all_126_4_117 = 0
% 37.72/9.41  																| (643) all_0_15_15 = 0
% 37.72/9.41  																|
% 37.72/9.41  																	| Equations (643) can reduce 293 to:
% 37.72/9.42  																	| (553) $false
% 37.72/9.42  																	|
% 37.72/9.42  																	|-The branch is then unsatisfiable
% 37.72/9.42  % SZS output end Proof for theBenchmark
% 37.72/9.42  
% 37.72/9.42  8781ms
%------------------------------------------------------------------------------