%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SEU268+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n014.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 08:48:20 EDT 2022

% Result   : Theorem 32.15s 8.03s
% Output   : Proof 52.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU268+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 19 10:08:18 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.53/0.53          ____       _                          
% 0.53/0.53    ___  / __ \_____(_)___  ________  __________
% 0.53/0.53   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.53  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.53/0.53  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.53/0.53  
% 0.53/0.53  A Theorem Prover for First-Order Logic
% 0.53/0.53  (ePrincess v.1.0)
% 0.53/0.53  
% 0.53/0.53  (c) Philipp Rümmer, 2009-2015
% 0.53/0.53  (c) Peter Backeman, 2014-2015
% 0.53/0.53  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.53  Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.53  Bug reports to peter@backeman.se
% 0.53/0.53  
% 0.53/0.53  For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.53  
% 0.53/0.53  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.57/0.58  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.41/1.28  Prover 0: Preprocessing ...
% 8.77/2.47  Prover 0: Warning: ignoring some quantifiers
% 8.77/2.53  Prover 0: Constructing countermodel ...
% 23.10/5.87  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 23.80/6.04  Prover 1: Preprocessing ...
% 26.55/6.72  Prover 1: Warning: ignoring some quantifiers
% 26.55/6.74  Prover 1: Constructing countermodel ...
% 31.87/8.02  Prover 1: proved (2150ms)
% 31.87/8.03  Prover 0: stopped
% 32.15/8.03  
% 32.15/8.03  No countermodel exists, formula is valid
% 32.15/8.03  % SZS status Theorem for theBenchmark
% 32.15/8.03  
% 32.15/8.03  Generating proof ... Warning: ignoring some quantifiers
% 50.32/13.75  found it (size 54)
% 50.32/13.75  
% 50.32/13.75  % SZS output start Proof for theBenchmark
% 50.32/13.75  Assumed formulas after preprocessing and simplification: 
% 50.32/13.75  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : ( ~ (v12 = 0) &  ~ (v10 = 0) &  ~ (v7 = 0) &  ~ (v3 = 0) & relation_empty_yielding(v5) = 0 & relation_empty_yielding(v4) = 0 & relation_empty_yielding(empty_set) = 0 & relation_rng(empty_set) = empty_set & reflexive(v2) = v3 & inclusion_relation(v1) = v2 & singleton(empty_set) = v0 & relation_dom(empty_set) = empty_set & one_to_one(v13) = 0 & one_to_one(v8) = 0 & one_to_one(empty_set) = 0 & powerset(empty_set) = v0 & relation(v18) = 0 & relation(v16) = 0 & relation(v14) = 0 & relation(v13) = 0 & relation(v11) = 0 & relation(v8) = 0 & relation(v5) = 0 & relation(v4) = 0 & relation(empty_set) = 0 & epsilon_connected(v17) = 0 & epsilon_connected(v13) = 0 & epsilon_connected(v6) = 0 & epsilon_connected(empty_set) = 0 & ordinal(v17) = 0 & ordinal(v13) = 0 & ordinal(v6) = 0 & ordinal(empty_set) = 0 & epsilon_transitive(v17) = 0 & epsilon_transitive(v13) = 0 & epsilon_transitive(v6) = 0 & epsilon_transitive(empty_set) = 0 & function(v18) = 0 & function(v14) = 0 & function(v13) = 0 & function(v8) = 0 & function(v4) = 0 & function(empty_set) = 0 & empty(v16) = 0 & empty(v15) = 0 & empty(v14) = 0 & empty(v13) = 0 & empty(v11) = v12 & empty(v9) = v10 & empty(v6) = v7 & empty(empty_set) = 0 &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] :  ! [v27] : (v25 = 0 |  ~ (relation_composition(v19, v20) = v21) |  ~ (ordered_pair(v22, v26) = v27) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (relation(v21) = 0) |  ~ (relation(v19) = 0) |  ~ (in(v27, v19) = 0) |  ~ (in(v24, v21) = v25) |  ? [v28] :  ? [v29] : (( ~ (v29 = 0) & ordered_pair(v26, v23) = v28 & in(v28, v20) = v29) | ( ~ (v28 = 0) & relation(v20) = v28))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : (v26 = 0 |  ~ (is_transitive_in(v19, v20) = 0) |  ~ (ordered_pair(v21, v23) = v25) |  ~ (ordered_pair(v21, v22) = v24) |  ~ (relation(v19) = 0) |  ~ (in(v25, v19) = v26) |  ~ (in(v24, v19) = 0) |  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] : (ordered_pair(v22, v23) = v30 & in(v30, v19) = v31 & in(v23, v20) = v29 & in(v22, v20) = v28 & in(v21, v20) = v27 & ( ~ (v31 = 0) |  ~ (v29 = 0) |  ~ (v28 = 0) |  ~ (v27 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : ( ~ (relation_composition(v24, v22) = v25) |  ~ (identity_relation(v21) = v24) |  ~ (ordered_pair(v19, v20) = v23) |  ~ (in(v23, v25) = v26) |  ? [v27] :  ? [v28] :  ? [v29] : (relation(v22) = v27 & in(v23, v22) = v29 & in(v19, v21) = v28 & ( ~ (v27 = 0) | (( ~ (v29 = 0) |  ~ (v28 = 0) | v26 = 0) & ( ~ (v26 = 0) | (v29 = 0 & v28 = 0)))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (relation_restriction(v21, v19) = v22) |  ~ (fiber(v22, v20) = v23) |  ~ (fiber(v21, v20) = v24) |  ~ (subset(v23, v24) = v25) |  ? [v26] : ( ~ (v26 = 0) & relation(v21) = v26)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (relation_rng(v21) = v24) |  ~ (relation_dom(v21) = v22) |  ~ (subset(v24, v20) = v25) |  ~ (subset(v22, v19) = v23) |  ? [v26] : ( ~ (v26 = 0) & relation_of2_as_subset(v21, v19, v20) = v26)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (relation_rng(v21) = v24) |  ~ (relation_dom(v21) = v22) |  ~ (in(v20, v24) = v25) |  ~ (in(v19, v22) = v23) |  ? [v26] :  ? [v27] :  ? [v28] : (ordered_pair(v19, v20) = v27 & relation(v21) = v26 & in(v27, v21) = v28 & ( ~ (v28 = 0) |  ~ (v26 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (transitive(v19) = 0) |  ~ (ordered_pair(v20, v22) = v24) |  ~ (ordered_pair(v20, v21) = v23) |  ~ (in(v24, v19) = v25) |  ~ (in(v23, v19) = 0) |  ? [v26] :  ? [v27] : (( ~ (v27 = 0) & ordered_pair(v21, v22) = v26 & in(v26, v19) = v27) | ( ~ (v26 = 0) & relation(v19) = v26))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (subset(v23, v24) = v25) |  ~ (cartesian_product2(v20, v22) = v24) |  ~ (cartesian_product2(v19, v21) = v23) |  ? [v26] :  ? [v27] : (subset(v21, v22) = v27 & subset(v19, v20) = v26 & ( ~ (v27 = 0) |  ~ (v26 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (ordered_pair(v19, v20) = v23) |  ~ (cartesian_product2(v21, v22) = v24) |  ~ (in(v23, v24) = v25) |  ? [v26] :  ? [v27] : (in(v20, v22) = v27 & in(v19, v21) = v26 & ( ~ (v27 = 0) |  ~ (v26 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v23 = 0 |  ~ (relation_rng(v21) = v24) |  ~ (relation_dom(v21) = v22) |  ~ (subset(v24, v20) = v25) |  ~ (subset(v22, v19) = v23) |  ? [v26] : ( ~ (v26 = 0) & relation_of2_as_subset(v21, v19, v20) = v26)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v23 = 0 |  ~ (relation_rng(v21) = v24) |  ~ (relation_dom(v21) = v22) |  ~ (in(v20, v24) = v25) |  ~ (in(v19, v22) = v23) |  ? [v26] :  ? [v27] :  ? [v28] : (ordered_pair(v19, v20) = v27 & relation(v21) = v26 & in(v27, v21) = v28 & ( ~ (v28 = 0) |  ~ (v26 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v23 = 0 |  ~ (relation_inverse_image(v19, v20) = v21) |  ~ (ordered_pair(v22, v24) = v25) |  ~ (relation(v19) = 0) |  ~ (in(v25, v19) = 0) |  ~ (in(v22, v21) = v23) |  ? [v26] : ( ~ (v26 = 0) & in(v24, v20) = v26)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v23 = 0 |  ~ (relation_image(v19, v20) = v21) |  ~ (ordered_pair(v24, v22) = v25) |  ~ (relation(v19) = 0) |  ~ (in(v25, v19) = 0) |  ~ (in(v22, v21) = v23) |  ? [v26] : ( ~ (v26 = 0) & in(v24, v20) = v26)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v23 = 0 |  ~ (ordered_pair(v24, v25) = v22) |  ~ (cartesian_product2(v19, v20) = v21) |  ~ (in(v22, v21) = v23) |  ? [v26] :  ? [v27] : (in(v25, v20) = v27 & in(v24, v19) = v26 & ( ~ (v27 = 0) |  ~ (v26 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (inclusion_relation(v19) = v20) |  ~ (relation_field(v20) = v21) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (in(v24, v20) = v25) |  ? [v26] :  ? [v27] :  ? [v28] : (( ~ (v26 = 0) & relation(v20) = v26) | (subset(v22, v23) = v28 & in(v23, v19) = v27 & in(v22, v19) = v26 & ( ~ (v27 = 0) |  ~ (v26 = 0) | (( ~ (v28 = 0) | v25 = 0) & ( ~ (v25 = 0) | v28 = 0)))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (relation_rng_restriction(v19, v20) = v21) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (relation(v21) = 0) |  ~ (in(v24, v20) = v25) |  ? [v26] :  ? [v27] : (( ~ (v26 = 0) & relation(v20) = v26) | (in(v24, v21) = v26 & in(v23, v19) = v27 & ( ~ (v26 = 0) | (v27 = 0 & v25 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (relation_dom_restriction(v19, v20) = v21) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (relation(v21) = 0) |  ~ (relation(v19) = 0) |  ~ (in(v24, v19) = v25) |  ? [v26] :  ? [v27] : (in(v24, v21) = v26 & in(v22, v20) = v27 & ( ~ (v26 = 0) | (v27 = 0 & v25 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 | v22 = v21 |  ~ (is_connected_in(v19, v20) = 0) |  ~ (ordered_pair(v21, v22) = v23) |  ~ (relation(v19) = 0) |  ~ (in(v23, v19) = v24) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (ordered_pair(v22, v21) = v27 & in(v27, v19) = v28 & in(v22, v20) = v26 & in(v21, v20) = v25 & ( ~ (v26 = 0) |  ~ (v25 = 0) | v28 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (subset_difference(v19, v20, v21) = v23) |  ~ (powerset(v19) = v22) |  ~ (element(v23, v22) = v24) |  ? [v25] :  ? [v26] : (element(v21, v22) = v26 & element(v20, v22) = v25 & ( ~ (v26 = 0) |  ~ (v25 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_rng_as_subset(v19, v20, v21) = v22) |  ~ (powerset(v20) = v23) |  ~ (element(v22, v23) = v24) |  ? [v25] : ( ~ (v25 = 0) & relation_of2(v21, v19, v20) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_dom_as_subset(v19, v20, v21) = v22) |  ~ (powerset(v19) = v23) |  ~ (element(v22, v23) = v24) |  ? [v25] : ( ~ (v25 = 0) & relation_of2(v21, v19, v20) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (complements_of_subsets(v19, v20) = v23) |  ~ (powerset(v21) = v22) |  ~ (powerset(v19) = v21) |  ~ (element(v23, v22) = v24) |  ? [v25] : ( ~ (v25 = 0) & element(v20, v22) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_composition(v19, v21) = v22) |  ~ (relation_dom(v22) = v23) |  ~ (relation_dom(v19) = v20) |  ~ (subset(v23, v20) = v24) |  ? [v25] : (( ~ (v25 = 0) & relation(v21) = v25) | ( ~ (v25 = 0) & relation(v19) = v25))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_composition(v19, v20) = v21) |  ~ (relation_rng(v21) = v22) |  ~ (relation_rng(v20) = v23) |  ~ (subset(v22, v23) = v24) |  ~ (relation(v19) = 0) |  ? [v25] : ( ~ (v25 = 0) & relation(v20) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_inverse(v19) = v20) |  ~ (ordered_pair(v21, v22) = v23) |  ~ (relation(v20) = 0) |  ~ (in(v23, v20) = v24) |  ? [v25] :  ? [v26] : (( ~ (v26 = 0) & ordered_pair(v22, v21) = v25 & in(v25, v19) = v26) | ( ~ (v25 = 0) & relation(v19) = v25))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_rng(v21) = v22) |  ~ (relation_rng(v20) = v23) |  ~ (relation_rng_restriction(v19, v20) = v21) |  ~ (subset(v22, v23) = v24) |  ? [v25] : ( ~ (v25 = 0) & relation(v20) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_rng(v21) = v22) |  ~ (relation_rng(v20) = v23) |  ~ (relation_dom_restriction(v20, v19) = v21) |  ~ (subset(v22, v23) = v24) |  ? [v25] : ( ~ (v25 = 0) & relation(v20) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (set_difference(v20, v22) = v23) |  ~ (singleton(v21) = v22) |  ~ (subset(v19, v23) = v24) |  ? [v25] :  ? [v26] : (subset(v19, v20) = v25 & in(v21, v19) = v26 & ( ~ (v25 = 0) | v26 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (set_difference(v20, v21) = v23) |  ~ (set_difference(v19, v21) = v22) |  ~ (subset(v22, v23) = v24) |  ? [v25] : ( ~ (v25 = 0) & subset(v19, v20) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (fiber(v19, v20) = v21) |  ~ (ordered_pair(v22, v20) = v23) |  ~ (relation(v19) = 0) |  ~ (in(v23, v19) = v24) |  ? [v25] : ( ~ (v25 = 0) & in(v22, v21) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_inverse_image(v21, v20) = v23) |  ~ (relation_inverse_image(v21, v19) = v22) |  ~ (subset(v22, v23) = v24) |  ? [v25] :  ? [v26] : (subset(v19, v20) = v26 & relation(v21) = v25 & ( ~ (v26 = 0) |  ~ (v25 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_field(v21) = v22) |  ~ (in(v20, v22) = v24) |  ~ (in(v19, v22) = v23) |  ? [v25] :  ? [v26] :  ? [v27] : (ordered_pair(v19, v20) = v26 & relation(v21) = v25 & in(v26, v21) = v27 & ( ~ (v27 = 0) |  ~ (v25 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (relation_rng_restriction(v19, v20) = v21) |  ~ (relation_dom(v21) = v22) |  ~ (relation_dom(v20) = v23) |  ~ (subset(v22, v23) = v24) |  ? [v25] : ( ~ (v25 = 0) & relation(v20) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (subset(v22, v23) = v24) |  ~ (set_intersection2(v20, v21) = v23) |  ~ (set_intersection2(v19, v21) = v22) |  ? [v25] : ( ~ (v25 = 0) & subset(v19, v20) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (cartesian_product2(v19, v20) = v22) |  ~ (powerset(v22) = v23) |  ~ (element(v21, v23) = v24) |  ? [v25] : ( ~ (v25 = 0) & relation_of2_as_subset(v21, v19, v20) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v23 = 0 |  ~ (relation_field(v21) = v22) |  ~ (in(v20, v22) = v24) |  ~ (in(v19, v22) = v23) |  ? [v25] :  ? [v26] :  ? [v27] : (ordered_pair(v19, v20) = v26 & relation(v21) = v25 & in(v26, v21) = v27 & ( ~ (v27 = 0) |  ~ (v25 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v22 = v20 |  ~ (pair_second(v19) = v20) |  ~ (ordered_pair(v23, v24) = v19) |  ~ (ordered_pair(v21, v22) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v22 = 0 |  ~ (relation_rng(v19) = v20) |  ~ (ordered_pair(v23, v21) = v24) |  ~ (in(v24, v19) = 0) |  ~ (in(v21, v20) = v22) |  ? [v25] : ( ~ (v25 = 0) & relation(v19) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v22 = 0 |  ~ (relation_dom(v19) = v20) |  ~ (ordered_pair(v21, v23) = v24) |  ~ (in(v24, v19) = 0) |  ~ (in(v21, v20) = v22) |  ? [v25] : ( ~ (v25 = 0) & relation(v19) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v21 = v20 |  ~ (pair_first(v19) = v20) |  ~ (ordered_pair(v23, v24) = v19) |  ~ (ordered_pair(v21, v22) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_composition(v19, v20) = v21) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (relation(v21) = 0) |  ~ (relation(v19) = 0) |  ~ (in(v24, v21) = 0) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : ((v29 = 0 & v27 = 0 & ordered_pair(v25, v23) = v28 & ordered_pair(v22, v25) = v26 & in(v28, v20) = 0 & in(v26, v19) = 0) | ( ~ (v25 = 0) & relation(v20) = v25))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_isomorphism(v19, v21, v23) = v24) |  ~ (relation_field(v21) = v22) |  ~ (relation_field(v19) = v20) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] :  ? [v33] :  ? [v34] :  ? [v35] :  ? [v36] :  ? [v37] :  ? [v38] :  ? [v39] : (( ~ (v25 = 0) & relation(v21) = v25) | ( ~ (v25 = 0) & relation(v19) = v25) | (relation_rng(v23) = v28 & relation_dom(v23) = v27 & one_to_one(v23) = v29 & relation(v23) = v25 & function(v23) = v26 & ( ~ (v26 = 0) |  ~ (v25 = 0) | (( ~ (v29 = 0) |  ~ (v28 = v22) |  ~ (v27 = v20) | v24 = 0 | (apply(v23, v31) = v37 & apply(v23, v30) = v36 & ordered_pair(v36, v37) = v38 & ordered_pair(v30, v31) = v32 & in(v38, v21) = v39 & in(v32, v19) = v33 & in(v31, v20) = v35 & in(v30, v20) = v34 & ( ~ (v39 = 0) |  ~ (v35 = 0) |  ~ (v34 = 0) |  ~ (v33 = 0)) & (v33 = 0 | (v39 = 0 & v35 = 0 & v34 = 0)))) & ( ~ (v24 = 0) | (v29 = 0 & v28 = v22 & v27 = v20 &  ! [v40] :  ! [v41] :  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (apply(v23, v41) = v43) |  ~ (apply(v23, v40) = v42) |  ~ (ordered_pair(v42, v43) = v44) |  ~ (in(v44, v21) = v45) |  ? [v46] :  ? [v47] :  ? [v48] :  ? [v49] : (ordered_pair(v40, v41) = v46 & in(v46, v19) = v47 & in(v41, v20) = v49 & in(v40, v20) = v48 & ( ~ (v47 = 0) | (v49 = 0 & v48 = 0 & v45 = 0)))) &  ! [v40] :  ! [v41] :  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (apply(v23, v41) = v43) |  ~ (apply(v23, v40) = v42) |  ~ (ordered_pair(v42, v43) = v44) |  ~ (in(v44, v21) = 0) |  ? [v45] :  ? [v46] :  ? [v47] :  ? [v48] : (ordered_pair(v40, v41) = v47 & in(v47, v19) = v48 & in(v41, v20) = v46 & in(v40, v20) = v45 & ( ~ (v46 = 0) |  ~ (v45 = 0) | v48 = 0)))))))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_restriction(v20, v19) = v21) |  ~ (relation_field(v21) = v22) |  ~ (relation_field(v20) = v23) |  ~ (subset(v22, v23) = v24) |  ? [v25] :  ? [v26] : (subset(v22, v19) = v26 & relation(v20) = v25 & ( ~ (v25 = 0) | (v26 = 0 & v24 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_rng(v22) = v23) |  ~ (relation_rng_restriction(v20, v21) = v22) |  ~ (in(v19, v23) = v24) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (relation_rng(v21) = v27 & relation(v21) = v25 & in(v19, v27) = v28 & in(v19, v20) = v26 & ( ~ (v25 = 0) | (( ~ (v28 = 0) |  ~ (v26 = 0) | v24 = 0) & ( ~ (v24 = 0) | (v28 = 0 & v26 = 0)))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_rng_restriction(v19, v20) = v21) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (relation(v21) = 0) |  ~ (in(v24, v20) = 0) |  ? [v25] :  ? [v26] : (( ~ (v25 = 0) & relation(v20) = v25) | (in(v24, v21) = v26 & in(v23, v19) = v25 & ( ~ (v25 = 0) | v26 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_dom(v22) = v23) |  ~ (relation_dom_restriction(v21, v20) = v22) |  ~ (in(v19, v23) = v24) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (relation_dom(v21) = v27 & relation(v21) = v25 & in(v19, v27) = v28 & in(v19, v20) = v26 & ( ~ (v25 = 0) | (( ~ (v28 = 0) |  ~ (v26 = 0) | v24 = 0) & ( ~ (v24 = 0) | (v28 = 0 & v26 = 0)))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_dom(v22) = v23) |  ~ (relation_dom_restriction(v21, v19) = v22) |  ~ (in(v20, v23) = v24) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (relation_dom(v21) = v27 & relation(v21) = v25 & function(v21) = v26 & in(v20, v27) = v28 & in(v20, v19) = v29 & ( ~ (v26 = 0) |  ~ (v25 = 0) | (( ~ (v29 = 0) |  ~ (v28 = 0) | v24 = 0) & ( ~ (v24 = 0) | (v29 = 0 & v28 = 0)))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_dom_restriction(v19, v20) = v21) |  ~ (ordered_pair(v22, v23) = v24) |  ~ (relation(v21) = 0) |  ~ (relation(v19) = 0) |  ~ (in(v24, v19) = 0) |  ? [v25] :  ? [v26] : (in(v24, v21) = v26 & in(v22, v20) = v25 & ( ~ (v25 = 0) | v26 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (subset(v22, v23) = v24) |  ~ (cartesian_product2(v20, v21) = v23) |  ~ (cartesian_product2(v19, v21) = v22) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (subset(v26, v27) = v28 & subset(v19, v20) = v25 & cartesian_product2(v21, v20) = v27 & cartesian_product2(v21, v19) = v26 & ( ~ (v25 = 0) | (v28 = 0 & v24 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (ordered_pair(v19, v20) = v23) |  ~ (cartesian_product2(v21, v22) = v24) |  ~ (in(v23, v24) = 0) | (in(v20, v22) = 0 & in(v19, v21) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v21 | v23 = v20 | v23 = v19 |  ~ (unordered_triple(v19, v20, v21) = v22) |  ~ (in(v23, v22) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 | v19 = empty_set |  ~ (set_meet(v19) = v20) |  ~ (in(v21, v22) = v23) |  ~ (in(v21, v20) = 0) |  ? [v24] : ( ~ (v24 = 0) & in(v22, v19) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (relation_of2_as_subset(v22, v21, v20) = v23) |  ~ (relation_of2_as_subset(v22, v21, v19) = 0) |  ? [v24] : ( ~ (v24 = 0) & subset(v19, v20) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (meet_of_subsets(v19, v20) = v22) |  ~ (powerset(v19) = v21) |  ~ (element(v22, v21) = v23) |  ? [v24] :  ? [v25] : ( ~ (v25 = 0) & powerset(v21) = v24 & element(v20, v24) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (union_of_subsets(v19, v20) = v22) |  ~ (powerset(v19) = v21) |  ~ (element(v22, v21) = v23) |  ? [v24] :  ? [v25] : ( ~ (v25 = 0) & powerset(v21) = v24 & element(v20, v24) = v25)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (function_inverse(v21) = v22) |  ~ (relation_isomorphism(v20, v19, v22) = v23) |  ~ (relation(v20) = 0) |  ~ (relation(v19) = 0) |  ? [v24] :  ? [v25] :  ? [v26] : (relation_isomorphism(v19, v20, v21) = v26 & relation(v21) = v24 & function(v21) = v25 & ( ~ (v26 = 0) |  ~ (v25 = 0) |  ~ (v24 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (subset_complement(v19, v20) = v22) |  ~ (powerset(v19) = v21) |  ~ (element(v22, v21) = v23) |  ? [v24] : ( ~ (v24 = 0) & element(v20, v21) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (relation_rng(v21) = v22) |  ~ (relation_rng_restriction(v19, v20) = v21) |  ~ (subset(v22, v19) = v23) |  ? [v24] : ( ~ (v24 = 0) & relation(v20) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (relation_rng(v20) = v22) |  ~ (relation_image(v20, v19) = v21) |  ~ (subset(v21, v22) = v23) |  ? [v24] : ( ~ (v24 = 0) & relation(v20) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (relation_rng(v19) = v21) |  ~ (relation_dom(v19) = v20) |  ~ (subset(v19, v22) = v23) |  ~ (cartesian_product2(v20, v21) = v22) |  ? [v24] : ( ~ (v24 = 0) & relation(v19) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (is_reflexive_in(v19, v20) = 0) |  ~ (ordered_pair(v21, v21) = v22) |  ~ (relation(v19) = 0) |  ~ (in(v22, v19) = v23) |  ? [v24] : ( ~ (v24 = 0) & in(v21, v20) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (unordered_triple(v19, v20, v21) = v22) |  ~ (in(v21, v22) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (unordered_triple(v19, v20, v21) = v22) |  ~ (in(v20, v22) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (unordered_triple(v19, v20, v21) = v22) |  ~ (in(v19, v22) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (relation_inverse_image(v20, v21) = v22) |  ~ (relation_image(v20, v19) = v21) |  ~ (subset(v19, v22) = v23) |  ? [v24] :  ? [v25] :  ? [v26] : (relation_dom(v20) = v25 & subset(v19, v25) = v26 & relation(v20) = v24 & ( ~ (v26 = 0) |  ~ (v24 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (relation_inverse_image(v20, v19) = v21) |  ~ (relation_dom(v20) = v22) |  ~ (subset(v21, v22) = v23) |  ? [v24] : ( ~ (v24 = 0) & relation(v20) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (relation_inverse_image(v20, v19) = v21) |  ~ (relation_image(v20, v21) = v22) |  ~ (subset(v22, v19) = v23) |  ? [v24] :  ? [v25] : (relation(v20) = v24 & function(v20) = v25 & ( ~ (v25 = 0) |  ~ (v24 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (subset(v22, v21) = v23) |  ~ (unordered_pair(v19, v20) = v22) |  ? [v24] :  ? [v25] : (in(v20, v21) = v25 & in(v19, v21) = v24 & ( ~ (v25 = 0) |  ~ (v24 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (subset(v22, v20) = v23) |  ~ (set_union2(v19, v21) = v22) |  ? [v24] :  ? [v25] : (subset(v21, v20) = v25 & subset(v19, v20) = v24 & ( ~ (v25 = 0) |  ~ (v24 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (subset(v21, v22) = v23) |  ~ (cartesian_product2(v19, v20) = v22) |  ? [v24] : ( ~ (v24 = 0) & relation_of2(v21, v19, v20) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (subset(v19, v22) = v23) |  ~ (set_intersection2(v20, v21) = v22) |  ? [v24] :  ? [v25] : (subset(v19, v21) = v25 & subset(v19, v20) = v24 & ( ~ (v25 = 0) |  ~ (v24 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (identity_relation(v19) = v20) |  ~ (ordered_pair(v21, v21) = v22) |  ~ (relation(v20) = 0) |  ~ (in(v22, v20) = v23) |  ? [v24] : ( ~ (v24 = 0) & in(v21, v19) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (set_union2(v19, v20) = v21) |  ~ (in(v22, v19) = v23) |  ? [v24] :  ? [v25] : (in(v22, v21) = v24 & in(v22, v20) = v25 & ( ~ (v24 = 0) | v25 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (powerset(v21) = v22) |  ~ (element(v20, v22) = 0) |  ~ (element(v19, v21) = v23) |  ? [v24] : ( ~ (v24 = 0) & in(v19, v20) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (powerset(v19) = v21) |  ~ (element(v20, v21) = 0) |  ~ (in(v22, v19) = v23) |  ? [v24] : ( ~ (v24 = 0) & in(v22, v20) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v22 = v21 |  ~ (is_antisymmetric_in(v19, v20) = 0) |  ~ (ordered_pair(v21, v22) = v23) |  ~ (relation(v19) = 0) |  ~ (in(v23, v19) = 0) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (ordered_pair(v22, v21) = v26 & in(v26, v19) = v27 & in(v22, v20) = v25 & in(v21, v20) = v24 & ( ~ (v27 = 0) |  ~ (v25 = 0) |  ~ (v24 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v22 = v21 |  ~ (identity_relation(v19) = v20) |  ~ (ordered_pair(v21, v22) = v23) |  ~ (relation(v20) = 0) |  ~ (in(v23, v20) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v22 = v20 |  ~ (fiber(v19, v20) = v21) |  ~ (ordered_pair(v22, v20) = v23) |  ~ (relation(v19) = 0) |  ~ (in(v23, v19) = 0) | in(v22, v21) = 0) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v22 = v20 |  ~ (ordered_pair(v21, v22) = v23) |  ~ (ordered_pair(v19, v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v22 = v19 | v21 = v19 |  ~ (unordered_pair(v21, v22) = v23) |  ~ (unordered_pair(v19, v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v22 = 0 |  ~ (union(v19) = v20) |  ~ (in(v21, v23) = 0) |  ~ (in(v21, v20) = v22) |  ? [v24] : ( ~ (v24 = 0) & in(v23, v19) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v19 |  ~ (ordered_pair(v21, v22) = v23) |  ~ (ordered_pair(v19, v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v20 = v19 |  ~ (relation_of2_as_subset(v23, v22, v21) = v20) |  ~ (relation_of2_as_subset(v23, v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v20 = v19 |  ~ (subset_difference(v23, v22, v21) = v20) |  ~ (subset_difference(v23, v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v20 = v19 |  ~ (relation_rng_as_subset(v23, v22, v21) = v20) |  ~ (relation_rng_as_subset(v23, v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v20 = v19 |  ~ (relation_dom_as_subset(v23, v22, v21) = v20) |  ~ (relation_dom_as_subset(v23, v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v20 = v19 |  ~ (relation_isomorphism(v23, v22, v21) = v20) |  ~ (relation_isomorphism(v23, v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v20 = v19 |  ~ (relation_of2(v23, v22, v21) = v20) |  ~ (relation_of2(v23, v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v20 = v19 |  ~ (unordered_triple(v23, v22, v21) = v20) |  ~ (unordered_triple(v23, v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v20 = empty_set |  ~ (subset_difference(v19, v21, v22) = v23) |  ~ (meet_of_subsets(v19, v20) = v22) |  ~ (cast_to_subset(v19) = v21) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (union_of_subsets(v19, v27) = v28 & complements_of_subsets(v19, v20) = v27 & powerset(v24) = v25 & powerset(v19) = v24 & element(v20, v25) = v26 & ( ~ (v26 = 0) | v28 = v23))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v20 = empty_set |  ~ (subset_difference(v19, v21, v22) = v23) |  ~ (union_of_subsets(v19, v20) = v22) |  ~ (cast_to_subset(v19) = v21) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (meet_of_subsets(v19, v27) = v28 & complements_of_subsets(v19, v20) = v27 & powerset(v24) = v25 & powerset(v19) = v24 & element(v20, v25) = v26 & ( ~ (v26 = 0) | v28 = v23))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_of2_as_subset(v22, v21, v19) = 0) |  ~ (relation_rng(v22) = v23) |  ~ (subset(v23, v20) = 0) | relation_of2_as_subset(v22, v21, v20) = 0) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (function_inverse(v20) = v21) |  ~ (relation_composition(v21, v20) = v22) |  ~ (apply(v22, v19) = v23) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : (relation_rng(v20) = v27 & apply(v21, v19) = v29 & apply(v20, v29) = v30 & one_to_one(v20) = v26 & relation(v20) = v24 & function(v20) = v25 & in(v19, v27) = v28 & ( ~ (v28 = 0) |  ~ (v26 = 0) |  ~ (v25 = 0) |  ~ (v24 = 0) | (v30 = v19 & v23 = v19)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_composition(v21, v20) = v22) |  ~ (relation_dom(v22) = v23) |  ~ (function(v20) = 0) |  ~ (in(v19, v23) = 0) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (( ~ (v24 = 0) & relation(v20) = v24) | (apply(v22, v19) = v26 & apply(v21, v19) = v27 & apply(v20, v27) = v28 & relation(v21) = v24 & function(v21) = v25 & ( ~ (v25 = 0) |  ~ (v24 = 0) | v28 = v26)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_inverse(v19) = v20) |  ~ (ordered_pair(v21, v22) = v23) |  ~ (relation(v20) = 0) |  ~ (in(v23, v20) = 0) |  ? [v24] :  ? [v25] : ((v25 = 0 & ordered_pair(v22, v21) = v24 & in(v24, v19) = 0) | ( ~ (v24 = 0) & relation(v19) = v24))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_restriction(v21, v20) = v22) |  ~ (relation_field(v22) = v23) |  ~ (in(v19, v23) = 0) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (relation_field(v21) = v25 & relation(v21) = v24 & in(v19, v25) = v26 & in(v19, v20) = v27 & ( ~ (v24 = 0) | (v27 = 0 & v26 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_restriction(v21, v20) = v22) |  ~ (in(v19, v22) = v23) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (cartesian_product2(v20, v20) = v26 & relation(v21) = v24 & in(v19, v26) = v27 & in(v19, v21) = v25 & ( ~ (v24 = 0) | (( ~ (v27 = 0) |  ~ (v25 = 0) | v23 = 0) & ( ~ (v23 = 0) | (v27 = 0 & v25 = 0)))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (set_difference(v19, v20) = v21) |  ~ (in(v22, v19) = v23) |  ? [v24] :  ? [v25] : (in(v22, v21) = v24 & in(v22, v20) = v25 & ( ~ (v24 = 0) | (v23 = 0 &  ~ (v25 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (fiber(v19, v20) = v21) |  ~ (ordered_pair(v20, v20) = v22) |  ~ (relation(v19) = 0) |  ~ (in(v22, v19) = v23) |  ? [v24] : ( ~ (v24 = 0) & in(v20, v21) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (singleton(v19) = v22) |  ~ (unordered_pair(v21, v22) = v23) |  ~ (unordered_pair(v19, v20) = v21) | ordered_pair(v19, v20) = v23) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_inverse_image(v21, v20) = v22) |  ~ (in(v19, v22) = v23) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : (relation_rng(v21) = v25 & relation(v21) = v24 & ( ~ (v24 = 0) | (( ~ (v23 = 0) | (v30 = 0 & v29 = 0 & v27 = 0 & ordered_pair(v19, v26) = v28 & in(v28, v21) = 0 & in(v26, v25) = 0 & in(v26, v20) = 0)) & (v23 = 0 |  ! [v31] : ( ~ (in(v31, v25) = 0) |  ? [v32] :  ? [v33] :  ? [v34] : (ordered_pair(v19, v31) = v32 & in(v32, v21) = v33 & in(v31, v20) = v34 & ( ~ (v34 = 0) |  ~ (v33 = 0))))))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_rng_restriction(v19, v22) = v23) |  ~ (relation_dom_restriction(v21, v20) = v22) |  ? [v24] :  ? [v25] :  ? [v26] : (relation_rng_restriction(v19, v21) = v25 & relation_dom_restriction(v25, v20) = v26 & relation(v21) = v24 & ( ~ (v24 = 0) | v26 = v23))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_dom(v22) = v23) |  ~ (relation_dom_restriction(v21, v19) = v22) |  ~ (in(v20, v23) = 0) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (apply(v22, v20) = v26 & apply(v21, v20) = v27 & relation(v21) = v24 & function(v21) = v25 & ( ~ (v25 = 0) |  ~ (v24 = 0) | v27 = v26))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_dom(v20) = v21) |  ~ (relation_image(v20, v22) = v23) |  ~ (set_intersection2(v21, v19) = v22) |  ? [v24] :  ? [v25] : (relation_image(v20, v19) = v25 & relation(v20) = v24 & ( ~ (v24 = 0) | v25 = v23))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (relation_image(v21, v20) = v22) |  ~ (in(v19, v22) = v23) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : (relation_dom(v21) = v25 & relation(v21) = v24 & ( ~ (v24 = 0) | (( ~ (v23 = 0) | (v30 = 0 & v29 = 0 & v27 = 0 & ordered_pair(v26, v19) = v28 & in(v28, v21) = 0 & in(v26, v25) = 0 & in(v26, v20) = 0)) & (v23 = 0 |  ! [v31] : ( ~ (in(v31, v25) = 0) |  ? [v32] :  ? [v33] :  ? [v34] : (ordered_pair(v31, v19) = v32 & in(v32, v21) = v33 & in(v31, v20) = v34 & ( ~ (v34 = 0) |  ~ (v33 = 0))))))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (apply(v22, v20) = v23) |  ~ (relation_dom_restriction(v21, v19) = v22) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (apply(v21, v20) = v27 & relation(v21) = v24 & function(v21) = v25 & in(v20, v19) = v26 & ( ~ (v26 = 0) |  ~ (v25 = 0) |  ~ (v24 = 0) | v27 = v23))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (subset(v19, v20) = 0) |  ~ (ordered_pair(v21, v22) = v23) |  ~ (relation(v19) = 0) |  ~ (in(v23, v19) = 0) |  ? [v24] : ((v24 = 0 & in(v23, v20) = 0) | ( ~ (v24 = 0) & relation(v20) = v24))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (identity_relation(v19) = v20) |  ~ (ordered_pair(v21, v22) = v23) |  ~ (relation(v20) = 0) |  ~ (in(v23, v20) = 0) | in(v21, v19) = 0) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (ordered_pair(v19, v20) = v22) |  ~ (in(v22, v21) = v23) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (relation_dom(v21) = v26 & apply(v21, v19) = v28 & relation(v21) = v24 & function(v21) = v25 & in(v19, v26) = v27 & ( ~ (v25 = 0) |  ~ (v24 = 0) | (( ~ (v28 = v20) |  ~ (v27 = 0) | v23 = 0) & ( ~ (v23 = 0) | (v28 = v20 & v27 = 0)))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (set_intersection2(v19, v20) = v21) |  ~ (in(v22, v19) = v23) |  ? [v24] :  ? [v25] : (in(v22, v21) = v24 & in(v22, v20) = v25 & ( ~ (v24 = 0) | (v25 = 0 & v23 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (set_union2(v19, v20) = v21) |  ~ (in(v22, v19) = v23) |  ? [v24] :  ? [v25] : (in(v22, v21) = v25 & in(v22, v20) = v24 & (v25 = 0 | ( ~ (v24 = 0) &  ~ (v23 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (cartesian_product2(v19, v20) = v22) |  ~ (powerset(v22) = v23) |  ~ (element(v21, v23) = 0) | relation(v21) = 0) &  ? [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v19 |  ~ (unordered_triple(v20, v21, v22) = v23) |  ? [v24] :  ? [v25] : (in(v24, v19) = v25 & ( ~ (v25 = 0) | ( ~ (v24 = v22) &  ~ (v24 = v21) &  ~ (v24 = v20))) & (v25 = 0 | v24 = v22 | v24 = v21 | v24 = v20))) &  ? [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v19 |  ~ (pair_second(v20) = v21) |  ~ (ordered_pair(v22, v23) = v20) |  ? [v24] :  ? [v25] : ( ~ (v25 = v19) & ordered_pair(v24, v25) = v20)) &  ? [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v19 |  ~ (pair_first(v20) = v21) |  ~ (ordered_pair(v22, v23) = v20) |  ? [v24] :  ? [v25] : ( ~ (v24 = v19) & ordered_pair(v24, v25) = v20)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v21 |  ~ (relation_composition(v19, v20) = v21) |  ~ (relation(v22) = 0) |  ~ (relation(v19) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] : (( ~ (v23 = 0) & relation(v20) = v23) | (ordered_pair(v23, v24) = v25 & in(v25, v22) = v26 & ( ~ (v26 = 0) |  ! [v32] :  ! [v33] : ( ~ (ordered_pair(v23, v32) = v33) |  ~ (in(v33, v19) = 0) |  ? [v34] :  ? [v35] : ( ~ (v35 = 0) & ordered_pair(v32, v24) = v34 & in(v34, v20) = v35))) & (v26 = 0 | (v31 = 0 & v29 = 0 & ordered_pair(v27, v24) = v30 & ordered_pair(v23, v27) = v28 & in(v30, v20) = 0 & in(v28, v19) = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v21 |  ~ (relation_rng_restriction(v19, v20) = v21) |  ~ (relation(v22) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (( ~ (v23 = 0) & relation(v20) = v23) | (ordered_pair(v23, v24) = v25 & in(v25, v22) = v26 & in(v25, v20) = v28 & in(v24, v19) = v27 & ( ~ (v28 = 0) |  ~ (v27 = 0) |  ~ (v26 = 0)) & (v26 = 0 | (v28 = 0 & v27 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v21 |  ~ (relation_dom_restriction(v19, v20) = v22) |  ~ (relation(v21) = 0) |  ~ (relation(v19) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (ordered_pair(v23, v24) = v25 & in(v25, v21) = v26 & in(v25, v19) = v28 & in(v23, v20) = v27 & ( ~ (v28 = 0) |  ~ (v27 = 0) |  ~ (v26 = 0)) & (v26 = 0 | (v28 = 0 & v27 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v20 | v22 = v19 |  ~ (unordered_pair(v19, v20) = v21) |  ~ (in(v22, v21) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v20 |  ~ (relation_rng_as_subset(v19, v20, v21) = v22) |  ? [v23] :  ? [v24] : ((v24 = 0 & in(v23, v20) = 0 &  ! [v25] :  ! [v26] : ( ~ (ordered_pair(v25, v23) = v26) |  ~ (in(v26, v21) = 0))) | ( ~ (v23 = 0) & relation_of2_as_subset(v21, v19, v20) = v23))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v20 |  ~ (relation_dom_as_subset(v20, v19, v21) = v22) |  ? [v23] :  ? [v24] : ((v24 = 0 & in(v23, v20) = 0 &  ! [v25] :  ! [v26] : ( ~ (ordered_pair(v23, v25) = v26) |  ~ (in(v26, v21) = 0))) | ( ~ (v23 = 0) & relation_of2_as_subset(v21, v20, v19) = v23))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v20 |  ~ (subset_complement(v19, v21) = v22) |  ~ (subset_complement(v19, v20) = v21) |  ? [v23] :  ? [v24] : ( ~ (v24 = 0) & powerset(v19) = v23 & element(v20, v23) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v20 |  ~ (set_difference(v20, v19) = v21) |  ~ (set_union2(v19, v21) = v22) |  ? [v23] : ( ~ (v23 = 0) & subset(v19, v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v20 |  ~ (singleton(v19) = v21) |  ~ (set_union2(v21, v20) = v22) |  ? [v23] : ( ~ (v23 = 0) & in(v19, v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v20 |  ~ (apply(v21, v20) = v22) |  ~ (identity_relation(v19) = v21) |  ? [v23] : ( ~ (v23 = 0) & in(v20, v19) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v19 |  ~ (set_difference(v19, v21) = v22) |  ~ (singleton(v20) = v21) | in(v20, v19) = 0) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v19 |  ~ (relation_inverse_image(v20, v19) = v21) |  ~ (relation_image(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (relation_rng(v20) = v25 & subset(v19, v25) = v26 & relation(v20) = v23 & function(v20) = v24 & ( ~ (v26 = 0) |  ~ (v24 = 0) |  ~ (v23 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 | v19 = empty_set |  ~ (set_meet(v19) = v20) |  ~ (in(v21, v20) = v22) |  ? [v23] :  ? [v24] : ( ~ (v24 = 0) & in(v23, v19) = 0 & in(v21, v23) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (being_limit_ordinal(v19) = 0) |  ~ (succ(v20) = v21) |  ~ (in(v21, v19) = v22) |  ? [v23] :  ? [v24] : (( ~ (v23 = 0) & ordinal(v19) = v23) | (ordinal(v20) = v23 & in(v20, v19) = v24 & ( ~ (v24 = 0) |  ~ (v23 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (set_difference(v19, v20) = v21) |  ~ (subset(v21, v19) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (union(v20) = v21) |  ~ (subset(v19, v21) = v22) |  ? [v23] : ( ~ (v23 = 0) & in(v19, v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (cast_to_subset(v19) = v20) |  ~ (powerset(v19) = v21) |  ~ (element(v20, v21) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (disjoint(v21, v20) = v22) |  ~ (singleton(v19) = v21) | in(v19, v20) = 0) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (disjoint(v20, v21) = 0) |  ~ (disjoint(v19, v21) = v22) |  ? [v23] : ( ~ (v23 = 0) & subset(v19, v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (relation_of2(v21, v19, v20) = v22) |  ? [v23] : ( ~ (v23 = 0) & relation_of2_as_subset(v21, v19, v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (singleton(v19) = v21) |  ~ (subset(v21, v20) = v22) |  ? [v23] : ( ~ (v23 = 0) & in(v19, v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (relation_rng_restriction(v19, v20) = v21) |  ~ (subset(v21, v20) = v22) |  ? [v23] : ( ~ (v23 = 0) & relation(v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (relation_dom_restriction(v20, v19) = v21) |  ~ (subset(v21, v20) = v22) |  ? [v23] : ( ~ (v23 = 0) & relation(v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (subset(v21, v19) = v22) |  ~ (set_intersection2(v19, v20) = v21)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (subset(v21, v19) = v22) |  ~ (powerset(v19) = v20) |  ? [v23] : ( ~ (v23 = 0) & in(v21, v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (subset(v19, v21) = v22) |  ~ (subset(v19, v20) = 0) |  ? [v23] : ( ~ (v23 = 0) & subset(v20, v21) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (subset(v19, v21) = v22) |  ~ (set_union2(v19, v20) = v21)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (unordered_pair(v19, v20) = v21) |  ~ (in(v20, v21) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (unordered_pair(v19, v20) = v21) |  ~ (in(v19, v21) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (powerset(v20) = v21) |  ~ (element(v19, v21) = v22) |  ? [v23] :  ? [v24] : ( ~ (v24 = 0) & in(v23, v20) = v24 & in(v23, v19) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (powerset(v20) = v21) |  ~ (element(v19, v21) = v22) |  ? [v23] : ( ~ (v23 = 0) & subset(v19, v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (singleton(v19) = v22) |  ~ (unordered_pair(v20, v21) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (antisymmetric(v19) = 0) |  ~ (ordered_pair(v20, v21) = v22) |  ~ (in(v22, v19) = 0) |  ? [v23] :  ? [v24] : (( ~ (v24 = 0) & ordered_pair(v21, v20) = v23 & in(v23, v19) = v24) | ( ~ (v23 = 0) & relation(v19) = v23))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v21 = 0 |  ~ (relation_isomorphism(v19, v20, v22) = 0) |  ~ (well_ordering(v20) = v21) |  ~ (well_ordering(v19) = 0) |  ? [v23] :  ? [v24] : (( ~ (v23 = 0) & relation(v20) = v23) | ( ~ (v23 = 0) & relation(v19) = v23) | (relation(v22) = v23 & function(v22) = v24 & ( ~ (v24 = 0) |  ~ (v23 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (are_equipotent(v22, v21) = v20) |  ~ (are_equipotent(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (meet_of_subsets(v22, v21) = v20) |  ~ (meet_of_subsets(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (union_of_subsets(v22, v21) = v20) |  ~ (union_of_subsets(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (complements_of_subsets(v22, v21) = v20) |  ~ (complements_of_subsets(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (relation_composition(v22, v21) = v20) |  ~ (relation_composition(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (relation_restriction(v22, v21) = v20) |  ~ (relation_restriction(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (well_orders(v22, v21) = v20) |  ~ (well_orders(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (subset_complement(v22, v21) = v20) |  ~ (subset_complement(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (set_difference(v22, v21) = v20) |  ~ (set_difference(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (is_well_founded_in(v22, v21) = v20) |  ~ (is_well_founded_in(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (disjoint(v22, v21) = v20) |  ~ (disjoint(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (fiber(v22, v21) = v20) |  ~ (fiber(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (is_reflexive_in(v22, v21) = v20) |  ~ (is_reflexive_in(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (singleton(v20) = v22) |  ~ (singleton(v19) = v21) |  ~ (subset(v21, v22) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (singleton(v19) = v22) |  ~ (unordered_pair(v20, v21) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (is_transitive_in(v22, v21) = v20) |  ~ (is_transitive_in(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (is_connected_in(v22, v21) = v20) |  ~ (is_connected_in(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (relation_inverse_image(v22, v21) = v20) |  ~ (relation_inverse_image(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (is_antisymmetric_in(v22, v21) = v20) |  ~ (is_antisymmetric_in(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (relation_rng_restriction(v22, v21) = v20) |  ~ (relation_rng_restriction(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (relation_image(v22, v21) = v20) |  ~ (relation_image(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (apply(v22, v21) = v20) |  ~ (apply(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (relation_dom_restriction(v22, v21) = v20) |  ~ (relation_dom_restriction(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (subset(v22, v21) = v20) |  ~ (subset(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (ordered_pair(v22, v21) = v20) |  ~ (ordered_pair(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (ordinal_subset(v22, v21) = v20) |  ~ (ordinal_subset(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (set_intersection2(v22, v21) = v20) |  ~ (set_intersection2(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (set_union2(v22, v21) = v20) |  ~ (set_union2(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (unordered_pair(v22, v21) = v20) |  ~ (unordered_pair(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (cartesian_product2(v22, v21) = v20) |  ~ (cartesian_product2(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (element(v22, v21) = v20) |  ~ (element(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (proper_subset(v22, v21) = v20) |  ~ (proper_subset(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (in(v22, v21) = v20) |  ~ (in(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = empty_set |  ~ (powerset(v21) = v22) |  ~ (powerset(v19) = v21) |  ~ (element(v20, v22) = 0) |  ? [v23] : ( ~ (v23 = empty_set) & complements_of_subsets(v19, v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_rng_as_subset(v19, v20, v21) = v22) |  ? [v23] :  ? [v24] : (relation_rng(v21) = v24 & relation_of2(v21, v19, v20) = v23 & ( ~ (v23 = 0) | v24 = v22))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_rng_as_subset(v19, v20, v21) = v20) |  ~ (in(v22, v20) = 0) |  ? [v23] :  ? [v24] :  ? [v25] : ((v25 = 0 & ordered_pair(v23, v22) = v24 & in(v24, v21) = 0) | ( ~ (v23 = 0) & relation_of2_as_subset(v21, v19, v20) = v23))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_dom_as_subset(v20, v19, v21) = v20) |  ~ (in(v22, v20) = 0) |  ? [v23] :  ? [v24] :  ? [v25] : ((v25 = 0 & ordered_pair(v22, v23) = v24 & in(v24, v21) = 0) | ( ~ (v23 = 0) & relation_of2_as_subset(v21, v20, v19) = v23))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_dom_as_subset(v19, v20, v21) = v22) |  ? [v23] :  ? [v24] : (relation_of2(v21, v19, v20) = v23 & relation_dom(v21) = v24 & ( ~ (v23 = 0) | v24 = v22))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_composition(v21, v20) = v22) |  ~ (identity_relation(v19) = v21) |  ? [v23] :  ? [v24] : (relation_dom_restriction(v20, v19) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | v24 = v22))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_rng(v20) = v21) |  ~ (set_intersection2(v21, v19) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (relation_rng(v24) = v25 & relation_rng_restriction(v19, v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | v25 = v22))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_rng(v19) = v21) |  ~ (relation_dom(v19) = v20) |  ~ (set_union2(v20, v21) = v22) |  ? [v23] :  ? [v24] : (relation_field(v19) = v24 & relation(v19) = v23 & ( ~ (v23 = 0) | v24 = v22))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_rng(v19) = v20) |  ~ (relation_image(v21, v20) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (( ~ (v23 = 0) & relation(v19) = v23) | (relation_composition(v19, v21) = v24 & relation_rng(v24) = v25 & relation(v21) = v23 & ( ~ (v23 = 0) | v25 = v22)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_difference(v21, v20) = v22) |  ~ (set_union2(v19, v20) = v21) | set_difference(v19, v20) = v22) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_difference(v20, v19) = v21) |  ~ (set_union2(v19, v21) = v22) | set_union2(v19, v20) = v22) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_difference(v19, v21) = v22) |  ~ (set_difference(v19, v20) = v21) | set_intersection2(v19, v20) = v22) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_difference(v19, v20) = v21) |  ~ (in(v22, v19) = 0) |  ? [v23] :  ? [v24] : (in(v22, v21) = v24 & in(v22, v20) = v23 & (v24 = 0 | v23 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (succ(v19) = v20) |  ~ (ordinal_subset(v20, v21) = v22) |  ? [v23] :  ? [v24] : (( ~ (v23 = 0) & ordinal(v19) = v23) | (ordinal(v21) = v23 & in(v19, v21) = v24 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0)))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_inverse_image(v19, v20) = v21) |  ~ (relation(v19) = 0) |  ~ (in(v22, v21) = 0) |  ? [v23] :  ? [v24] : (ordered_pair(v22, v23) = v24 & in(v24, v19) = 0 & in(v23, v20) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_rng_restriction(v19, v21) = v22) |  ~ (relation_dom_restriction(v20, v19) = v21) |  ? [v23] :  ? [v24] : (relation_restriction(v20, v19) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | v24 = v22))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_rng_restriction(v19, v20) = v21) |  ~ (relation_dom_restriction(v21, v19) = v22) |  ? [v23] :  ? [v24] : (relation_restriction(v20, v19) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | v24 = v22))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_dom(v20) = v21) |  ~ (set_intersection2(v21, v19) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (relation_dom(v24) = v25 & relation_dom_restriction(v20, v19) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | v25 = v22))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_dom(v20) = v21) |  ~ (in(v19, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] : (apply(v20, v19) = v25 & relation(v20) = v23 & function(v20) = v24 & ( ~ (v24 = 0) |  ~ (v23 = 0) |  ! [v26] :  ! [v27] :  ! [v28] : ( ~ (v22 = 0) |  ~ (relation_composition(v20, v26) = v27) |  ~ (apply(v27, v19) = v28) |  ? [v29] :  ? [v30] :  ? [v31] : (apply(v26, v25) = v31 & relation(v26) = v29 & function(v26) = v30 & ( ~ (v30 = 0) |  ~ (v29 = 0) | v31 = v28)))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (relation_image(v19, v20) = v21) |  ~ (relation(v19) = 0) |  ~ (in(v22, v21) = 0) |  ? [v23] :  ? [v24] : (ordered_pair(v23, v22) = v24 & in(v24, v19) = 0 & in(v23, v20) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (subset(v22, v21) = 0) |  ~ (unordered_pair(v19, v20) = v22) | (in(v20, v21) = 0 & in(v19, v21) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (subset(v21, v22) = 0) |  ~ (cartesian_product2(v19, v20) = v22) | relation_of2(v21, v19, v20) = 0) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_intersection2(v19, v21) = v22) |  ~ (cartesian_product2(v20, v20) = v21) |  ~ (relation(v19) = 0) | relation_restriction(v19, v20) = v22) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (set_intersection2(v19, v20) = v21) |  ~ (in(v22, v19) = 0) |  ? [v23] :  ? [v24] : (in(v22, v21) = v24 & in(v22, v20) = v23 & ( ~ (v23 = 0) | v24 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (cartesian_product2(v19, v20) = v21) |  ~ (in(v22, v21) = 0) |  ? [v23] :  ? [v24] : (ordered_pair(v23, v24) = v22 & in(v24, v20) = 0 & in(v23, v19) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (powerset(v21) = v22) |  ~ (powerset(v19) = v21) |  ~ (element(v20, v22) = 0) |  ? [v23] : (meet_of_subsets(v19, v20) = v23 & set_meet(v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (powerset(v21) = v22) |  ~ (powerset(v19) = v21) |  ~ (element(v20, v22) = 0) |  ? [v23] : (union_of_subsets(v19, v20) = v23 & union(v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (powerset(v21) = v22) |  ~ (powerset(v19) = v21) |  ~ (element(v20, v22) = 0) |  ? [v23] : (complements_of_subsets(v19, v23) = v20 & complements_of_subsets(v19, v20) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (powerset(v21) = v22) |  ~ (powerset(v19) = v21) |  ~ (element(v20, v22) = 0) |  ? [v23] : (complements_of_subsets(v19, v20) = v23 &  ! [v24] : (v24 = v23 |  ~ (element(v24, v22) = 0) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (subset_complement(v19, v25) = v27 & element(v25, v21) = 0 & in(v27, v20) = v28 & in(v25, v24) = v26 & ( ~ (v28 = 0) |  ~ (v26 = 0)) & (v28 = 0 | v26 = 0))) &  ! [v24] : ( ~ (element(v24, v21) = 0) |  ~ (element(v23, v22) = 0) |  ? [v25] :  ? [v26] :  ? [v27] : (subset_complement(v19, v24) = v26 & in(v26, v20) = v27 & in(v24, v23) = v25 & ( ~ (v27 = 0) | v25 = 0) & ( ~ (v25 = 0) | v27 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (powerset(v21) = v22) |  ~ (element(v20, v22) = 0) |  ~ (in(v19, v20) = 0) |  ? [v23] : ( ~ (v23 = 0) & empty(v21) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (powerset(v19) = v22) |  ~ (element(v21, v22) = 0) |  ~ (element(v20, v22) = 0) |  ? [v23] : (subset_difference(v19, v20, v21) = v23 & set_difference(v20, v21) = v23)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (powerset(v19) = v22) |  ~ (element(v21, v22) = 0) |  ~ (in(v20, v21) = 0) |  ? [v23] :  ? [v24] : ( ~ (v24 = 0) & subset_complement(v19, v21) = v23 & in(v20, v23) = v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (powerset(v19) = v21) |  ~ (element(v22, v21) = 0) |  ~ (element(v20, v21) = 0) |  ? [v23] :  ? [v24] :  ? [v25] : (subset_complement(v19, v22) = v24 & disjoint(v20, v22) = v23 & subset(v20, v24) = v25 & ( ~ (v25 = 0) | v23 = 0) & ( ~ (v23 = 0) | v25 = 0))) &  ? [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v19 |  ~ (set_difference(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (in(v23, v21) = v26 & in(v23, v20) = v25 & in(v23, v19) = v24 & ( ~ (v25 = 0) |  ~ (v24 = 0) | v26 = 0) & (v24 = 0 | (v25 = 0 &  ~ (v26 = 0))))) &  ? [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v19 |  ~ (fiber(v20, v21) = v22) |  ~ (relation(v20) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (ordered_pair(v23, v21) = v25 & in(v25, v20) = v26 & in(v23, v19) = v24 & ( ~ (v26 = 0) |  ~ (v24 = 0) | v23 = v21) & (v24 = 0 | (v26 = 0 &  ~ (v23 = v21))))) &  ? [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v19 |  ~ (relation_inverse_image(v20, v21) = v22) |  ~ (relation(v20) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (in(v23, v19) = v24 & ( ~ (v24 = 0) |  ! [v29] :  ! [v30] : ( ~ (ordered_pair(v23, v29) = v30) |  ~ (in(v30, v20) = 0) |  ? [v31] : ( ~ (v31 = 0) & in(v29, v21) = v31))) & (v24 = 0 | (v28 = 0 & v27 = 0 & ordered_pair(v23, v25) = v26 & in(v26, v20) = 0 & in(v25, v21) = 0)))) &  ? [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v19 |  ~ (relation_image(v20, v21) = v22) |  ~ (relation(v20) = 0) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (in(v23, v19) = v24 & ( ~ (v24 = 0) |  ! [v29] :  ! [v30] : ( ~ (ordered_pair(v29, v23) = v30) |  ~ (in(v30, v20) = 0) |  ? [v31] : ( ~ (v31 = 0) & in(v29, v21) = v31))) & (v24 = 0 | (v28 = 0 & v27 = 0 & ordered_pair(v25, v23) = v26 & in(v26, v20) = 0 & in(v25, v21) = 0)))) &  ? [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v19 |  ~ (set_intersection2(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (in(v23, v21) = v26 & in(v23, v20) = v25 & in(v23, v19) = v24 & ( ~ (v26 = 0) |  ~ (v25 = 0) |  ~ (v24 = 0)) & (v24 = 0 | (v26 = 0 & v25 = 0)))) &  ? [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v19 |  ~ (set_union2(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (in(v23, v21) = v26 & in(v23, v20) = v25 & in(v23, v19) = v24 & ( ~ (v24 = 0) | ( ~ (v26 = 0) &  ~ (v25 = 0))) & (v26 = 0 | v25 = 0 | v24 = 0))) &  ? [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v19 |  ~ (unordered_pair(v20, v21) = v22) |  ? [v23] :  ? [v24] : (in(v23, v19) = v24 & ( ~ (v24 = 0) | ( ~ (v23 = v21) &  ~ (v23 = v20))) & (v24 = 0 | v23 = v21 | v23 = v20))) &  ? [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v19 |  ~ (cartesian_product2(v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (in(v23, v19) = v24 & ( ~ (v24 = 0) |  ! [v30] :  ! [v31] : ( ~ (ordered_pair(v30, v31) = v23) |  ? [v32] :  ? [v33] : (in(v31, v21) = v33 & in(v30, v20) = v32 & ( ~ (v33 = 0) |  ~ (v32 = 0))))) & (v24 = 0 | (v29 = v23 & v28 = 0 & v27 = 0 & ordered_pair(v25, v26) = v23 & in(v26, v21) = 0 & in(v25, v20) = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (relation_inverse(v19) = v20) |  ~ (relation(v21) = 0) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (( ~ (v22 = 0) & relation(v19) = v22) | (ordered_pair(v23, v22) = v26 & ordered_pair(v22, v23) = v24 & in(v26, v19) = v27 & in(v24, v21) = v25 & ( ~ (v27 = 0) |  ~ (v25 = 0)) & (v27 = 0 | v25 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (inclusion_relation(v19) = v21) |  ~ (relation_field(v20) = v19) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : ((v25 = 0 & v24 = 0 & subset(v22, v23) = v28 & ordered_pair(v22, v23) = v26 & in(v26, v20) = v27 & in(v23, v19) = 0 & in(v22, v19) = 0 & ( ~ (v28 = 0) |  ~ (v27 = 0)) & (v28 = 0 | v27 = 0)) | ( ~ (v22 = 0) & relation(v20) = v22))) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (identity_relation(v19) = v21) |  ~ (relation(v20) = 0) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (ordered_pair(v22, v23) = v24 & in(v24, v20) = v25 & in(v22, v19) = v26 & ( ~ (v26 = 0) |  ~ (v25 = 0) |  ~ (v23 = v22)) & (v25 = 0 | (v26 = 0 & v23 = v22)))) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (set_union2(v19, v20) = v21) |  ? [v22] : ( ~ (v22 = 0) & subset(v19, v20) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = v20 |  ~ (epsilon_connected(v19) = 0) |  ~ (in(v21, v19) = 0) |  ~ (in(v20, v19) = 0) |  ? [v22] :  ? [v23] : (in(v21, v20) = v23 & in(v20, v21) = v22 & (v23 = 0 | v22 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = v19 | v19 = empty_set |  ~ (singleton(v20) = v21) |  ~ (subset(v19, v21) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = v19 |  ~ (inclusion_relation(v19) = v20) |  ~ (relation_field(v20) = v21) |  ? [v22] : ( ~ (v22 = 0) & relation(v20) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = v19 |  ~ (singleton(v19) = v20) |  ~ (in(v21, v20) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = v19 |  ~ (set_intersection2(v19, v20) = v21) |  ? [v22] : ( ~ (v22 = 0) & subset(v19, v20) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = empty_set |  ~ (set_difference(v19, v20) = v21) |  ? [v22] : ( ~ (v22 = 0) & subset(v19, v20) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = empty_set |  ~ (is_well_founded_in(v19, v20) = 0) |  ~ (subset(v21, v20) = 0) |  ~ (relation(v19) = 0) |  ? [v22] :  ? [v23] : (disjoint(v23, v21) = 0 & fiber(v19, v22) = v23 & in(v22, v21) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 | v20 = v19 |  ~ (proper_subset(v19, v20) = v21) |  ? [v22] : ( ~ (v22 = 0) & subset(v19, v20) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (well_orders(v19, v20) = v21) |  ~ (relation(v19) = 0) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (is_well_founded_in(v19, v20) = v26 & is_reflexive_in(v19, v20) = v22 & is_transitive_in(v19, v20) = v23 & is_connected_in(v19, v20) = v25 & is_antisymmetric_in(v19, v20) = v24 & ( ~ (v26 = 0) |  ~ (v25 = 0) |  ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (is_well_founded_in(v19, v20) = v21) |  ~ (relation(v19) = 0) |  ? [v22] : ( ~ (v22 = empty_set) & subset(v22, v20) = 0 &  ! [v23] :  ! [v24] : ( ~ (disjoint(v24, v22) = 0) |  ~ (fiber(v19, v23) = v24) |  ? [v25] : ( ~ (v25 = 0) & in(v23, v22) = v25)))) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (disjoint(v19, v20) = v21) |  ? [v22] :  ? [v23] : (set_intersection2(v19, v20) = v22 & in(v23, v22) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (disjoint(v19, v20) = v21) |  ? [v22] : ( ~ (v22 = v19) & set_difference(v19, v20) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (disjoint(v19, v20) = v21) |  ? [v22] : ( ~ (v22 = empty_set) & set_intersection2(v19, v20) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (disjoint(v19, v20) = v21) |  ? [v22] : (in(v22, v20) = 0 & in(v22, v19) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (is_reflexive_in(v19, v20) = v21) |  ~ (relation(v19) = 0) |  ? [v22] :  ? [v23] :  ? [v24] : ( ~ (v24 = 0) & ordered_pair(v22, v22) = v23 & in(v23, v19) = v24 & in(v22, v20) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (singleton(v20) = v19) |  ~ (subset(v19, v19) = v21)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (singleton(v19) = v20) |  ~ (subset(empty_set, v20) = v21)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (singleton(v19) = v20) |  ~ (in(v19, v20) = v21)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (succ(v19) = v20) |  ~ (in(v19, v20) = v21)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (is_transitive_in(v19, v20) = v21) |  ~ (relation(v19) = 0) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : ( ~ (v28 = 0) & ordered_pair(v23, v24) = v26 & ordered_pair(v22, v24) = v27 & ordered_pair(v22, v23) = v25 & in(v27, v19) = v28 & in(v26, v19) = 0 & in(v25, v19) = 0 & in(v24, v20) = 0 & in(v23, v20) = 0 & in(v22, v20) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (is_connected_in(v19, v20) = v21) |  ~ (relation(v19) = 0) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : ( ~ (v27 = 0) &  ~ (v25 = 0) &  ~ (v23 = v22) & ordered_pair(v23, v22) = v26 & ordered_pair(v22, v23) = v24 & in(v26, v19) = v27 & in(v24, v19) = v25 & in(v23, v20) = 0 & in(v22, v20) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (is_antisymmetric_in(v19, v20) = v21) |  ~ (relation(v19) = 0) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : ( ~ (v23 = v22) & ordered_pair(v23, v22) = v25 & ordered_pair(v22, v23) = v24 & in(v25, v19) = 0 & in(v24, v19) = 0 & in(v23, v20) = 0 & in(v22, v20) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (subset(v20, v19) = v21) |  ~ (epsilon_transitive(v19) = 0) |  ? [v22] : ( ~ (v22 = 0) & in(v20, v19) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (subset(v19, v20) = v21) |  ~ (relation(v19) = 0) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : ((v25 = 0 &  ~ (v26 = 0) & ordered_pair(v22, v23) = v24 & in(v24, v20) = v26 & in(v24, v19) = 0) | ( ~ (v22 = 0) & relation(v20) = v22))) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (subset(v19, v20) = v21) |  ? [v22] :  ? [v23] : ( ~ (v23 = 0) & in(v22, v20) = v23 & in(v22, v19) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (ordinal_subset(v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (ordinal_subset(v20, v19) = v24 & ordinal(v20) = v23 & ordinal(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | v24 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (ordinal_subset(v19, v19) = v21) |  ~ (ordinal(v20) = 0) |  ? [v22] : ( ~ (v22 = 0) & ordinal(v19) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (element(v19, v20) = v21) |  ? [v22] : ( ~ (v22 = 0) & in(v19, v20) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (ordinal(v20) = 0) |  ~ (ordinal(v19) = v21) |  ? [v22] : ( ~ (v22 = 0) & in(v19, v20) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (relation_empty_yielding(v21) = v20) |  ~ (relation_empty_yielding(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (function_inverse(v21) = v20) |  ~ (function_inverse(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (relation_inverse(v21) = v20) |  ~ (relation_inverse(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (being_limit_ordinal(v21) = v20) |  ~ (being_limit_ordinal(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (relation_rng(v21) = v20) |  ~ (relation_rng(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (well_ordering(v21) = v20) |  ~ (well_ordering(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (reflexive(v21) = v20) |  ~ (reflexive(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (union(v21) = v20) |  ~ (union(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (cast_to_subset(v21) = v20) |  ~ (cast_to_subset(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (well_founded_relation(v21) = v20) |  ~ (well_founded_relation(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (pair_second(v21) = v20) |  ~ (pair_second(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (inclusion_relation(v21) = v20) |  ~ (inclusion_relation(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (set_meet(v21) = v20) |  ~ (set_meet(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (singleton(v21) = v20) |  ~ (singleton(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (succ(v21) = v20) |  ~ (succ(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (pair_first(v21) = v20) |  ~ (pair_first(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (transitive(v21) = v20) |  ~ (transitive(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (connected(v21) = v20) |  ~ (connected(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (relation_field(v21) = v20) |  ~ (relation_field(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (antisymmetric(v21) = v20) |  ~ (antisymmetric(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (relation_dom(v21) = v20) |  ~ (relation_dom(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (identity_relation(v21) = v20) |  ~ (identity_relation(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (one_to_one(v21) = v20) |  ~ (one_to_one(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (powerset(v21) = v20) |  ~ (powerset(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (relation(v21) = v20) |  ~ (relation(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (epsilon_connected(v21) = v20) |  ~ (epsilon_connected(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (ordinal(v21) = v20) |  ~ (ordinal(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (epsilon_transitive(v21) = v20) |  ~ (epsilon_transitive(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (function(v21) = v20) |  ~ (function(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (empty(v21) = v20) |  ~ (empty(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v19 = empty_set |  ~ (relation_rng(v20) = v21) |  ~ (subset(v19, v21) = 0) |  ? [v22] :  ? [v23] : (relation_inverse_image(v20, v19) = v23 & relation(v20) = v22 & ( ~ (v23 = empty_set) |  ~ (v22 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] : (v19 = empty_set |  ~ (powerset(v19) = v20) |  ~ (element(v21, v20) = 0) |  ? [v22] : (subset_complement(v19, v21) = v22 &  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (in(v23, v22) = v24) |  ? [v25] :  ? [v26] : (element(v23, v19) = v25 & in(v23, v21) = v26 & ( ~ (v25 = 0) | v26 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_composition(v20, v19) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (relation(v21) = v25 & relation(v20) = v23 & empty(v21) = v24 & empty(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | (v25 = 0 & v24 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_composition(v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (relation(v21) = v26 & relation(v20) = v24 & relation(v19) = v22 & function(v21) = v27 & function(v20) = v25 & function(v19) = v23 & ( ~ (v25 = 0) |  ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0) | (v27 = 0 & v26 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_composition(v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (relation(v21) = v25 & relation(v20) = v23 & empty(v21) = v24 & empty(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | (v25 = 0 & v24 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_composition(v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (relation(v21) = v24 & relation(v20) = v23 & relation(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | v24 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_restriction(v20, v19) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (well_ordering(v21) = v24 & well_ordering(v20) = v23 & relation(v20) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | v24 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_restriction(v20, v19) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (reflexive(v21) = v24 & reflexive(v20) = v23 & relation(v20) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | v24 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_restriction(v20, v19) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (well_founded_relation(v21) = v24 & well_founded_relation(v20) = v23 & relation(v20) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | v24 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_restriction(v20, v19) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (transitive(v21) = v24 & transitive(v20) = v23 & relation(v20) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | v24 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_restriction(v20, v19) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (connected(v21) = v24 & connected(v20) = v23 & relation(v20) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | v24 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_restriction(v20, v19) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (antisymmetric(v21) = v24 & antisymmetric(v20) = v23 & relation(v20) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | v24 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_restriction(v19, v20) = v21) |  ? [v22] :  ? [v23] : (relation(v21) = v23 & relation(v19) = v22 & ( ~ (v22 = 0) | v23 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (well_orders(v19, v20) = v21) |  ~ (relation_field(v19) = v20) |  ? [v22] :  ? [v23] : (well_ordering(v19) = v23 & relation(v19) = v22 & ( ~ (v22 = 0) | (( ~ (v23 = 0) | v21 = 0) & ( ~ (v21 = 0) | v23 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_rng(v19) = v20) |  ~ (in(v21, v20) = 0) |  ? [v22] :  ? [v23] :  ? [v24] : ((v24 = 0 & ordered_pair(v22, v21) = v23 & in(v23, v19) = 0) | ( ~ (v22 = 0) & relation(v19) = v22))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (set_difference(v19, v21) = v19) |  ~ (singleton(v20) = v21) |  ? [v22] : ( ~ (v22 = 0) & in(v20, v19) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (set_difference(v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (relation(v21) = v24 & relation(v20) = v23 & relation(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | v24 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (union(v19) = v20) |  ~ (in(v21, v20) = 0) |  ? [v22] : (in(v22, v19) = 0 & in(v21, v22) = 0)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (is_well_founded_in(v19, v20) = v21) |  ~ (relation_field(v19) = v20) |  ? [v22] :  ? [v23] : (well_founded_relation(v19) = v23 & relation(v19) = v22 & ( ~ (v22 = 0) | (( ~ (v23 = 0) | v21 = 0) & ( ~ (v21 = 0) | v23 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (disjoint(v21, v20) = 0) |  ~ (singleton(v19) = v21) |  ? [v22] : ( ~ (v22 = 0) & in(v19, v20) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (disjoint(v19, v20) = 0) |  ~ (in(v21, v19) = 0) |  ? [v22] : ( ~ (v22 = 0) & in(v21, v20) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_of2(v21, v19, v20) = 0) | relation_of2_as_subset(v21, v19, v20) = 0) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (is_reflexive_in(v19, v20) = v21) |  ~ (relation_field(v19) = v20) |  ? [v22] :  ? [v23] : (reflexive(v19) = v23 & relation(v19) = v22 & ( ~ (v22 = 0) | (( ~ (v23 = 0) | v21 = 0) & ( ~ (v21 = 0) | v23 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (singleton(v19) = v21) |  ~ (subset(v21, v20) = 0) | in(v19, v20) = 0) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (singleton(v19) = v20) |  ~ (set_union2(v19, v20) = v21) | succ(v19) = v21) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (is_transitive_in(v19, v20) = v21) |  ~ (relation_field(v19) = v20) |  ? [v22] :  ? [v23] : (transitive(v19) = v23 & relation(v19) = v22 & ( ~ (v22 = 0) | (( ~ (v23 = 0) | v21 = 0) & ( ~ (v21 = 0) | v23 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (is_connected_in(v19, v20) = v21) |  ~ (relation_field(v19) = v20) |  ? [v22] :  ? [v23] : (connected(v19) = v23 & relation(v19) = v22 & ( ~ (v22 = 0) | (( ~ (v23 = 0) | v21 = 0) & ( ~ (v21 = 0) | v23 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_field(v20) = v21) |  ~ (subset(v19, v21) = 0) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (relation_restriction(v20, v19) = v24 & well_ordering(v20) = v23 & relation_field(v24) = v25 & relation(v20) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | v25 = v19))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_field(v19) = v20) |  ~ (is_antisymmetric_in(v19, v20) = v21) |  ? [v22] :  ? [v23] : (antisymmetric(v19) = v23 & relation(v19) = v22 & ( ~ (v22 = 0) | (( ~ (v23 = 0) | v21 = 0) & ( ~ (v21 = 0) | v23 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_rng_restriction(v19, 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)))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_rng_restriction(v19, v20) = v21) |  ? [v22] :  ? [v23] : (relation(v21) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | v23 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_dom(v19) = v20) |  ~ (relation_image(v19, v20) = v21) |  ? [v22] :  ? [v23] : (relation_rng(v19) = v23 & relation(v19) = v22 & ( ~ (v22 = 0) | v23 = v21))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_dom(v19) = v20) |  ~ (in(v21, v20) = 0) |  ? [v22] :  ? [v23] :  ? [v24] : ((v24 = 0 & ordered_pair(v21, v22) = v23 & in(v23, v19) = 0) | ( ~ (v22 = 0) & relation(v19) = v22))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_dom_restriction(v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (relation_empty_yielding(v21) = v25 & relation_empty_yielding(v19) = v23 & relation(v21) = v24 & relation(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | (v25 = 0 & v24 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_dom_restriction(v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (relation(v21) = v24 & relation(v19) = v22 & function(v21) = v25 & function(v19) = v23 & ( ~ (v23 = 0) |  ~ (v22 = 0) | (v25 = 0 & v24 = 0)))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (relation_dom_restriction(v19, v20) = v21) |  ? [v22] :  ? [v23] : (relation(v21) = v23 & relation(v19) = v22 & ( ~ (v22 = 0) | v23 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (subset(v21, v19) = 0) |  ~ (powerset(v19) = v20) | in(v21, v20) = 0) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (subset(v19, v20) = 0) |  ~ (in(v21, v19) = 0) | in(v21, v20) = 0) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (identity_relation(v19) = v21) |  ~ (function(v20) = 0) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (relation_dom(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | (( ~ (v23 = v19) | v21 = v20 | (v25 = 0 &  ~ (v26 = v24) & apply(v20, v24) = v26 & in(v24, v19) = 0)) & ( ~ (v21 = v20) | (v23 = v19 &  ! [v27] :  ! [v28] : (v28 = v27 |  ~ (apply(v20, v27) = v28) |  ? [v29] : ( ~ (v29 = 0) & in(v27, v19) = v29)))))))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (ordered_pair(v19, v20) = v21) | pair_second(v21) = v20) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (ordered_pair(v19, v20) = v21) | pair_first(v21) = v19) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (ordered_pair(v19, v20) = v21) |  ? [v22] : ( ~ (v22 = 0) & empty(v21) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (ordinal_subset(v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (subset(v19, v20) = v24 & ordinal(v20) = v23 & ordinal(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | (( ~ (v24 = 0) | v21 = 0) & ( ~ (v21 = 0) | v24 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (set_intersection2(v19, v20) = v21) | set_intersection2(v20, v19) = v21) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (set_intersection2(v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (relation(v21) = v24 & relation(v20) = v23 & relation(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | v24 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (set_union2(v20, v19) = v21) |  ? [v22] :  ? [v23] : (empty(v21) = v23 & empty(v19) = v22 & ( ~ (v23 = 0) | v22 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (set_union2(v19, v20) = v21) | set_union2(v20, v19) = v21) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (set_union2(v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (relation(v21) = v24 & relation(v20) = v23 & relation(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) | v24 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (set_union2(v19, v20) = v21) |  ? [v22] :  ? [v23] : (empty(v21) = v23 & empty(v19) = v22 & ( ~ (v23 = 0) | v22 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (unordered_pair(v19, v20) = v21) | unordered_pair(v20, v19) = v21) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (unordered_pair(v19, v20) = v21) |  ? [v22] : ( ~ (v22 = 0) & empty(v21) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (cartesian_product2(v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (empty(v21) = v24 & empty(v20) = v23 & empty(v19) = v22 & ( ~ (v24 = 0) | v23 = 0 | v22 = 0))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (powerset(v20) = v21) |  ~ (element(v19, v21) = 0) | subset(v19, v20) = 0) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (powerset(v19) = v21) |  ~ (element(v20, v21) = 0) |  ? [v22] : (subset_complement(v19, v20) = v22 & set_difference(v19, v20) = v22)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (element(v20, v19) = v21) |  ? [v22] :  ? [v23] : (empty(v20) = v23 & empty(v19) = v22 & ( ~ (v22 = 0) | (( ~ (v23 = 0) | v21 = 0) & ( ~ (v21 = 0) | v23 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (element(v20, v19) = v21) |  ? [v22] :  ? [v23] : (empty(v19) = v22 & in(v20, v19) = v23 & (v22 = 0 | (( ~ (v23 = 0) | v21 = 0) & ( ~ (v21 = 0) | v23 = 0))))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (in(v20, v21) = 0) |  ~ (in(v19, v20) = 0) |  ? [v22] : ( ~ (v22 = 0) & in(v21, v19) = v22)) &  ? [v19] :  ! [v20] :  ! [v21] : (v21 = v19 | v20 = empty_set |  ~ (set_meet(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (in(v22, v19) = v23 & ( ~ (v23 = 0) | (v25 = 0 &  ~ (v26 = 0) & in(v24, v20) = 0 & in(v22, v24) = v26)) & (v23 = 0 |  ! [v27] :  ! [v28] : (v28 = 0 |  ~ (in(v22, v27) = v28) |  ? [v29] : ( ~ (v29 = 0) & in(v27, v20) = v29))))) &  ? [v19] :  ! [v20] :  ! [v21] : (v21 = v19 |  ~ (relation_rng(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (( ~ (v22 = 0) & relation(v20) = v22) | (in(v22, v19) = v23 & ( ~ (v23 = 0) |  ! [v27] :  ! [v28] : ( ~ (ordered_pair(v27, v22) = v28) |  ~ (in(v28, v20) = 0))) & (v23 = 0 | (v26 = 0 & ordered_pair(v24, v22) = v25 & in(v25, v20) = 0))))) &  ? [v19] :  ! [v20] :  ! [v21] : (v21 = v19 |  ~ (union(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (in(v22, v19) = v23 & ( ~ (v23 = 0) |  ! [v27] : ( ~ (in(v22, v27) = 0) |  ? [v28] : ( ~ (v28 = 0) & in(v27, v20) = v28))) & (v23 = 0 | (v26 = 0 & v25 = 0 & in(v24, v20) = 0 & in(v22, v24) = 0)))) &  ? [v19] :  ! [v20] :  ! [v21] : (v21 = v19 |  ~ (singleton(v20) = v21) |  ? [v22] :  ? [v23] : (in(v22, v19) = v23 & ( ~ (v23 = 0) |  ~ (v22 = v20)) & (v23 = 0 | v22 = v20))) &  ? [v19] :  ! [v20] :  ! [v21] : (v21 = v19 |  ~ (relation_dom(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (( ~ (v22 = 0) & relation(v20) = v22) | (in(v22, v19) = v23 & ( ~ (v23 = 0) |  ! [v27] :  ! [v28] : ( ~ (ordered_pair(v22, v27) = v28) |  ~ (in(v28, v20) = 0))) & (v23 = 0 | (v26 = 0 & ordered_pair(v22, v24) = v25 & in(v25, v20) = 0))))) &  ? [v19] :  ! [v20] :  ! [v21] : (v21 = v19 |  ~ (powerset(v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] : (subset(v22, v20) = v24 & in(v22, v19) = v23 & ( ~ (v24 = 0) |  ~ (v23 = 0)) & (v24 = 0 | v23 = 0))) &  ! [v19] :  ! [v20] : (v20 = v19 |  ~ (set_difference(v19, empty_set) = v20)) &  ! [v19] :  ! [v20] : (v20 = v19 |  ~ (cast_to_subset(v19) = v20)) &  ! [v19] :  ! [v20] : (v20 = v19 |  ~ (subset(v19, v20) = 0) |  ? [v21] : ( ~ (v21 = 0) & subset(v20, v19) = v21)) &  ! [v19] :  ! [v20] : (v20 = v19 |  ~ (set_intersection2(v19, v19) = v20)) &  ! [v19] :  ! [v20] : (v20 = v19 |  ~ (set_union2(v19, v19) = v20)) &  ! [v19] :  ! [v20] : (v20 = v19 |  ~ (set_union2(v19, empty_set) = v20)) &  ! [v19] :  ! [v20] : (v20 = v19 |  ~ (relation(v20) = 0) |  ~ (relation(v19) = 0) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (ordered_pair(v21, v22) = v23 & in(v23, v20) = v25 & in(v23, v19) = v24 & ( ~ (v25 = 0) |  ~ (v24 = 0)) & (v25 = 0 | v24 = 0))) &  ! [v19] :  ! [v20] : (v20 = v19 |  ~ (ordinal(v20) = 0) |  ~ (ordinal(v19) = 0) |  ? [v21] :  ? [v22] : (in(v20, v19) = v22 & in(v19, v20) = v21 & (v22 = 0 | v21 = 0))) &  ! [v19] :  ! [v20] : (v20 = v19 |  ~ (empty(v20) = 0) |  ~ (empty(v19) = 0)) &  ! [v19] :  ! [v20] : (v20 = empty_set |  ~ (set_difference(empty_set, v19) = v20)) &  ! [v19] :  ! [v20] : (v20 = empty_set |  ~ (set_intersection2(v19, empty_set) = v20)) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (being_limit_ordinal(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : ((v23 = 0 & v22 = 0 &  ~ (v25 = 0) & succ(v21) = v24 & ordinal(v21) = 0 & in(v24, v19) = v25 & in(v21, v19) = 0) | ( ~ (v21 = 0) & ordinal(v19) = v21))) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (being_limit_ordinal(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] : ((v23 = v19 & v22 = 0 & succ(v21) = v19 & ordinal(v21) = 0) | ( ~ (v21 = 0) & ordinal(v19) = v21))) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (being_limit_ordinal(v19) = v20) |  ? [v21] : ( ~ (v21 = v19) & union(v19) = v21)) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (transitive(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : ((v27 = 0 & v25 = 0 &  ~ (v29 = 0) & ordered_pair(v22, v23) = v26 & ordered_pair(v21, v23) = v28 & ordered_pair(v21, v22) = v24 & in(v28, v19) = v29 & in(v26, v19) = 0 & in(v24, v19) = 0) | ( ~ (v21 = 0) & relation(v19) = v21))) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (antisymmetric(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : ((v26 = 0 & v24 = 0 &  ~ (v22 = v21) & ordered_pair(v22, v21) = v25 & ordered_pair(v21, v22) = v23 & in(v25, v19) = 0 & in(v23, v19) = 0) | ( ~ (v21 = 0) & relation(v19) = v21))) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (subset(v19, v19) = v20)) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (subset(empty_set, v19) = v20)) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (relation(v19) = v20) |  ? [v21] : (in(v21, v19) = 0 &  ! [v22] :  ! [v23] :  ~ (ordered_pair(v22, v23) = v21))) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (epsilon_connected(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : ( ~ (v24 = 0) &  ~ (v23 = 0) &  ~ (v22 = v21) & in(v22, v21) = v24 & in(v22, v19) = 0 & in(v21, v22) = v23 & in(v21, v19) = 0)) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (ordinal(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] : (subset(v21, v19) = v23 & ordinal(v21) = v22 & in(v21, v19) = 0 & ( ~ (v23 = 0) |  ~ (v22 = 0)))) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (epsilon_transitive(v19) = v20) |  ? [v21] :  ? [v22] : ( ~ (v22 = 0) & subset(v21, v19) = v22 & in(v21, v19) = 0)) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (function(v19) = v20) |  ? [v21] : ( ~ (v21 = 0) & empty(v19) = v21)) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (empty(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] : ( ~ (v23 = 0) & powerset(v19) = v21 & element(v22, v21) = 0 & empty(v22) = v23)) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (empty(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] : (relation_rng(v19) = v22 & relation(v19) = v21 & empty(v22) = v23 & ( ~ (v23 = 0) |  ~ (v21 = 0)))) &  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (empty(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] : (relation_dom(v19) = v22 & relation(v19) = v21 & empty(v22) = v23 & ( ~ (v23 = 0) |  ~ (v21 = 0)))) &  ! [v19] :  ! [v20] : (v19 = empty_set |  ~ (relation_rng(v19) = v20) |  ? [v21] :  ? [v22] : (relation_dom(v19) = v22 & relation(v19) = v21 & ( ~ (v21 = 0) | ( ~ (v22 = empty_set) &  ~ (v20 = empty_set))))) &  ! [v19] :  ! [v20] : (v19 = empty_set |  ~ (subset(v19, v20) = 0) |  ? [v21] :  ? [v22] :  ? [v23] : ((v23 = 0 & v22 = 0 & ordinal(v21) = 0 & in(v21, v19) = 0 &  ! [v24] :  ! [v25] : (v25 = 0 |  ~ (ordinal_subset(v21, v24) = v25) |  ? [v26] :  ? [v27] : (ordinal(v24) = v26 & in(v24, v19) = v27 & ( ~ (v27 = 0) |  ~ (v26 = 0))))) | ( ~ (v21 = 0) & ordinal(v20) = v21))) &  ! [v19] :  ! [v20] : ( ~ (function_inverse(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : (relation_rng(v20) = v27 & relation_rng(v19) = v24 & relation_dom(v20) = v25 & relation_dom(v19) = v26 & one_to_one(v19) = v23 & relation(v19) = v21 & function(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) |  ~ (v21 = 0) | (v27 = v26 & v25 = v24)))) &  ! [v19] :  ! [v20] : ( ~ (function_inverse(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (relation_rng(v19) = v24 & relation_dom(v19) = v25 & one_to_one(v19) = v23 & relation(v19) = v21 & function(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) |  ~ (v21 = 0) |  ! [v26] : ( ~ (function(v26) = 0) |  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] :  ? [v33] :  ? [v34] : (relation_dom(v26) = v28 & relation(v26) = v27 & ( ~ (v27 = 0) | (( ~ (v28 = v24) | v26 = v20 | (apply(v26, v29) = v32 & apply(v19, v30) = v34 & in(v30, v25) = v33 & in(v29, v24) = v31 & ((v34 = v29 & v33 = 0 & ( ~ (v32 = v30) |  ~ (v31 = 0))) | (v32 = v30 & v31 = 0 & ( ~ (v34 = v29) |  ~ (v33 = 0)))))) & ( ~ (v26 = v20) | (v28 = v24 &  ! [v35] :  ! [v36] :  ! [v37] : ( ~ (in(v36, v25) = v37) |  ~ (in(v35, v24) = 0) |  ? [v38] :  ? [v39] : (apply(v20, v35) = v38 & apply(v19, v36) = v39 & ( ~ (v38 = v36) | (v39 = v35 & v37 = 0)))) &  ! [v35] :  ! [v36] :  ! [v37] : ( ~ (in(v36, v25) = 0) |  ~ (in(v35, v24) = v37) |  ? [v38] :  ? [v39] : (apply(v20, v35) = v39 & apply(v19, v36) = v38 & ( ~ (v38 = v35) | (v39 = v36 & v37 = 0))))))))))))) &  ! [v19] :  ! [v20] : ( ~ (function_inverse(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (relation_inverse(v19) = v24 & one_to_one(v19) = v23 & relation(v19) = v21 & function(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) |  ~ (v21 = 0) | v24 = v20))) &  ! [v19] :  ! [v20] : ( ~ (function_inverse(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (one_to_one(v20) = v24 & one_to_one(v19) = v23 & relation(v19) = v21 & function(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) |  ~ (v21 = 0) | v24 = 0))) &  ! [v19] :  ! [v20] : ( ~ (function_inverse(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (relation(v20) = v23 & relation(v19) = v21 & function(v20) = v24 & function(v19) = v22 & ( ~ (v22 = 0) |  ~ (v21 = 0) | (v24 = 0 & v23 = 0)))) &  ! [v19] :  ! [v20] : ( ~ (relation_inverse(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (relation_rng(v20) = v25 & relation_rng(v19) = v22 & relation_dom(v20) = v23 & relation_dom(v19) = v24 & relation(v19) = v21 & ( ~ (v21 = 0) | (v25 = v24 & v23 = v22)))) &  ! [v19] :  ! [v20] : ( ~ (relation_inverse(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (one_to_one(v19) = v23 & relation(v20) = v24 & relation(v19) = v21 & function(v20) = v25 & function(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) |  ~ (v21 = 0) | (v25 = 0 & v24 = 0)))) &  ! [v19] :  ! [v20] : ( ~ (relation_inverse(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] : (relation(v20) = v23 & empty(v20) = v22 & empty(v19) = v21 & ( ~ (v21 = 0) | (v23 = 0 & v22 = 0)))) &  ! [v19] :  ! [v20] : ( ~ (relation_inverse(v19) = v20) |  ? [v21] :  ? [v22] : (relation_inverse(v20) = v22 & relation(v19) = v21 & ( ~ (v21 = 0) | v22 = v19))) &  ! [v19] :  ! [v20] : ( ~ (relation_inverse(v19) = v20) |  ? [v21] :  ? [v22] : (relation(v20) = v22 & relation(v19) = v21 & ( ~ (v21 = 0) | v22 = 0))) &  ! [v19] :  ! [v20] : ( ~ (being_limit_ordinal(v19) = 0) |  ~ (succ(v20) = v19) |  ? [v21] : (( ~ (v21 = 0) & ordinal(v20) = v21) | ( ~ (v21 = 0) & ordinal(v19) = v21))) &  ! [v19] :  ! [v20] : ( ~ (well_orders(v19, v20) = 0) |  ~ (relation(v19) = 0) | (is_well_founded_in(v19, v20) = 0 & is_reflexive_in(v19, v20) = 0 & is_transitive_in(v19, v20) = 0 & is_connected_in(v19, v20) = 0 & is_antisymmetric_in(v19, v20) = 0)) &  ! [v19] :  ! [v20] : ( ~ (relation_rng(v19) = v20) |  ? [v21] :  ? [v22] : (relation_dom(v19) = v22 & relation(v19) = v21 & ( ~ (v21 = 0) |  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (relation_rng(v23) = v24) |  ~ (subset(v20, v24) = v25) |  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (relation_dom(v23) = v28 & subset(v22, v28) = v29 & subset(v19, v23) = v27 & relation(v23) = v26 & ( ~ (v27 = 0) |  ~ (v26 = 0) | (v29 = 0 & v25 = 0))))))) &  ! [v19] :  ! [v20] : ( ~ (relation_rng(v19) = v20) |  ? [v21] :  ? [v22] : (relation_dom(v19) = v22 & relation(v19) = v21 & ( ~ (v21 = 0) |  ! [v23] :  ! [v24] : ( ~ (relation_rng(v23) = v24) |  ~ (subset(v22, v24) = 0) |  ? [v25] :  ? [v26] :  ? [v27] : (relation_composition(v23, v19) = v26 & relation_rng(v26) = v27 & relation(v23) = v25 & ( ~ (v25 = 0) | v27 = v20)))))) &  ! [v19] :  ! [v20] : ( ~ (relation_rng(v19) = v20) |  ? [v21] :  ? [v22] : (relation_dom(v19) = v22 & relation(v19) = v21 & ( ~ (v21 = 0) |  ! [v23] :  ! [v24] : ( ~ (relation_dom(v23) = v24) |  ~ (subset(v20, v24) = 0) |  ? [v25] :  ? [v26] :  ? [v27] : (relation_composition(v19, v23) = v26 & relation_dom(v26) = v27 & relation(v23) = v25 & ( ~ (v25 = 0) | v27 = v22)))))) &  ! [v19] :  ! [v20] : ( ~ (relation_rng(v19) = v20) |  ? [v21] :  ? [v22] : (relation_dom(v19) = v22 & relation(v19) = v21 & ( ~ (v21 = 0) | (( ~ (v22 = empty_set) | v20 = empty_set) & ( ~ (v20 = empty_set) | v22 = empty_set))))) &  ! [v19] :  ! [v20] : ( ~ (set_difference(v19, v20) = empty_set) | subset(v19, v20) = 0) &  ! [v19] :  ! [v20] : ( ~ (well_ordering(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (reflexive(v19) = v22 & well_founded_relation(v19) = v26 & transitive(v19) = v23 & connected(v19) = v25 & antisymmetric(v19) = v24 & relation(v19) = v21 & ( ~ (v21 = 0) | (( ~ (v26 = 0) |  ~ (v25 = 0) |  ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0) | v20 = 0) & ( ~ (v20 = 0) | (v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0)))))) &  ! [v19] :  ! [v20] : ( ~ (reflexive(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : (relation_field(v19) = v22 & relation(v19) = v21 & ( ~ (v21 = 0) | (( ~ (v20 = 0) |  ! [v27] : ( ~ (in(v27, v22) = 0) |  ? [v28] : (ordered_pair(v27, v27) = v28 & in(v28, v19) = 0))) & (v20 = 0 | (v24 = 0 &  ~ (v26 = 0) & ordered_pair(v23, v23) = v25 & in(v25, v19) = v26 & in(v23, v22) = 0)))))) &  ! [v19] :  ! [v20] : ( ~ (union(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (epsilon_connected(v20) = v23 & ordinal(v20) = v24 & ordinal(v19) = v21 & epsilon_transitive(v20) = v22 & ( ~ (v21 = 0) | (v24 = 0 & v23 = 0 & v22 = 0)))) &  ! [v19] :  ! [v20] : ( ~ (well_founded_relation(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (reflexive(v19) = v22 & transitive(v19) = v23 & connected(v19) = v24 & antisymmetric(v19) = v25 & relation(v19) = v21 & ( ~ (v21 = 0) |  ! [v26] :  ! [v27] : ( ~ (well_founded_relation(v26) = v27) |  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] : (reflexive(v26) = v29 & transitive(v26) = v30 & connected(v26) = v31 & antisymmetric(v26) = v32 & relation(v26) = v28 & ( ~ (v28 = 0) | ( ! [v33] : ( ~ (v25 = 0) | v32 = 0 |  ~ (relation_isomorphism(v19, v26, v33) = 0) |  ? [v34] :  ? [v35] : (relation(v33) = v34 & function(v33) = v35 & ( ~ (v35 = 0) |  ~ (v34 = 0)))) &  ! [v33] : ( ~ (v24 = 0) | v31 = 0 |  ~ (relation_isomorphism(v19, v26, v33) = 0) |  ? [v34] :  ? [v35] : (relation(v33) = v34 & function(v33) = v35 & ( ~ (v35 = 0) |  ~ (v34 = 0)))) &  ! [v33] : ( ~ (v23 = 0) | v30 = 0 |  ~ (relation_isomorphism(v19, v26, v33) = 0) |  ? [v34] :  ? [v35] : (relation(v33) = v34 & function(v33) = v35 & ( ~ (v35 = 0) |  ~ (v34 = 0)))) &  ! [v33] : ( ~ (v22 = 0) | v29 = 0 |  ~ (relation_isomorphism(v19, v26, v33) = 0) |  ? [v34] :  ? [v35] : (relation(v33) = v34 & function(v33) = v35 & ( ~ (v35 = 0) |  ~ (v34 = 0)))) &  ! [v33] : ( ~ (v20 = 0) | v27 = 0 |  ~ (relation_isomorphism(v19, v26, v33) = 0) |  ? [v34] :  ? [v35] : (relation(v33) = v34 & function(v33) = v35 & ( ~ (v35 = 0) |  ~ (v34 = 0))))))))))) &  ! [v19] :  ! [v20] : ( ~ (well_founded_relation(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (relation_field(v19) = v22 & relation(v19) = v21 & ( ~ (v21 = 0) | (( ~ (v20 = 0) |  ! [v25] : (v25 = empty_set |  ~ (subset(v25, v22) = 0) |  ? [v26] :  ? [v27] : (disjoint(v27, v25) = 0 & fiber(v19, v26) = v27 & in(v26, v25) = 0))) & (v20 = 0 | (v24 = 0 &  ~ (v23 = empty_set) & subset(v23, v22) = 0 &  ! [v25] :  ! [v26] : ( ~ (disjoint(v26, v23) = 0) |  ~ (fiber(v19, v25) = v26) |  ? [v27] : ( ~ (v27 = 0) & in(v25, v23) = v27)))))))) &  ! [v19] :  ! [v20] : ( ~ (disjoint(v19, v20) = 0) | set_difference(v19, v20) = v19) &  ! [v19] :  ! [v20] : ( ~ (disjoint(v19, v20) = 0) | disjoint(v20, v19) = 0) &  ! [v19] :  ! [v20] : ( ~ (disjoint(v19, v20) = 0) | set_intersection2(v19, v20) = empty_set) &  ! [v19] :  ! [v20] : ( ~ (disjoint(v19, v20) = 0) |  ? [v21] : (set_intersection2(v19, v20) = v21 &  ! [v22] :  ~ (in(v22, v21) = 0))) &  ! [v19] :  ! [v20] : ( ~ (inclusion_relation(v19) = v20) | relation(v20) = 0) &  ! [v19] :  ! [v20] : ( ~ (singleton(v19) = v20) |  ? [v21] : ( ~ (v21 = 0) & empty(v20) = v21)) &  ! [v19] :  ! [v20] : ( ~ (succ(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (epsilon_connected(v20) = v24 & ordinal(v20) = v25 & ordinal(v19) = v21 & epsilon_transitive(v20) = v23 & empty(v20) = v22 & ( ~ (v21 = 0) | (v25 = 0 & v24 = 0 & v23 = 0 &  ~ (v22 = 0))))) &  ! [v19] :  ! [v20] : ( ~ (succ(v19) = v20) |  ? [v21] : ( ~ (v21 = 0) & empty(v20) = v21)) &  ! [v19] :  ! [v20] : ( ~ (connected(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : (relation_field(v19) = v22 & relation(v19) = v21 & ( ~ (v21 = 0) | (( ~ (v20 = 0) |  ! [v31] :  ! [v32] : (v32 = v31 |  ~ (in(v32, v22) = 0) |  ~ (in(v31, v22) = 0) |  ? [v33] :  ? [v34] :  ? [v35] :  ? [v36] : (ordered_pair(v32, v31) = v35 & ordered_pair(v31, v32) = v33 & in(v35, v19) = v36 & in(v33, v19) = v34 & (v36 = 0 | v34 = 0)))) & (v20 = 0 | (v26 = 0 & v25 = 0 &  ~ (v30 = 0) &  ~ (v28 = 0) &  ~ (v24 = v23) & ordered_pair(v24, v23) = v29 & ordered_pair(v23, v24) = v27 & in(v29, v19) = v30 & in(v27, v19) = v28 & in(v24, v22) = 0 & in(v23, v22) = 0)))))) &  ! [v19] :  ! [v20] : ( ~ (identity_relation(v19) = v20) | relation_rng(v20) = v19) &  ! [v19] :  ! [v20] : ( ~ (identity_relation(v19) = v20) | relation_dom(v20) = v19) &  ! [v19] :  ! [v20] : ( ~ (identity_relation(v19) = v20) | relation(v20) = 0) &  ! [v19] :  ! [v20] : ( ~ (identity_relation(v19) = v20) | function(v20) = 0) &  ! [v19] :  ! [v20] : ( ~ (unordered_pair(v19, v19) = v20) | singleton(v19) = v20) &  ! [v19] :  ! [v20] : ( ~ (one_to_one(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (relation_dom(v19) = v23 & relation(v19) = v21 & function(v19) = v22 & ( ~ (v22 = 0) |  ~ (v21 = 0) | (( ~ (v20 = 0) |  ! [v30] :  ! [v31] : (v31 = v30 |  ~ (in(v31, v23) = 0) |  ~ (in(v30, v23) = 0) |  ? [v32] :  ? [v33] : ( ~ (v33 = v32) & apply(v19, v31) = v33 & apply(v19, v30) = v32))) & (v20 = 0 | (v29 = v28 & v27 = 0 & v26 = 0 &  ~ (v25 = v24) & apply(v19, v25) = v28 & apply(v19, v24) = v28 & in(v25, v23) = 0 & in(v24, v23) = 0)))))) &  ! [v19] :  ! [v20] : ( ~ (one_to_one(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] : (relation(v19) = v21 & function(v19) = v23 & empty(v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0) |  ~ (v21 = 0) | v20 = 0))) &  ! [v19] :  ! [v20] : ( ~ (powerset(v19) = v20) | union(v20) = v19) &  ! [v19] :  ! [v20] : ( ~ (powerset(v19) = v20) |  ? [v21] : ( ~ (v21 = 0) & empty(v20) = v21)) &  ! [v19] :  ! [v20] : ( ~ (powerset(v19) = v20) |  ? [v21] : (element(v21, v20) = 0 & empty(v21) = 0)) &  ! [v19] :  ! [v20] : ( ~ (element(v19, v20) = 0) |  ? [v21] :  ? [v22] : (empty(v20) = v21 & in(v19, v20) = v22 & (v22 = 0 | v21 = 0))) &  ! [v19] :  ! [v20] : ( ~ (relation(v19) = 0) |  ~ (in(v20, v19) = 0) |  ? [v21] :  ? [v22] : ordered_pair(v21, v22) = v20) &  ! [v19] :  ! [v20] : ( ~ (epsilon_connected(v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] : (ordinal(v19) = v23 & epsilon_transitive(v19) = v22 & empty(v19) = v21 & ( ~ (v21 = 0) | (v23 = 0 & v22 = 0 & v20 = 0)))) &  ! [v19] :  ! [v20] : ( ~ (epsilon_connected(v19) = v20) |  ? [v21] :  ? [v22] : (ordinal(v19) = v21 & epsilon_transitive(v19) = v22 & ( ~ (v21 = 0) | (v22 = 0 & v20 = 0)))) &  ! [v19] :  ! [v20] : ( ~ (epsilon_transitive(v19) = 0) |  ~ (proper_subset(v19, v20) = 0) |  ? [v21] :  ? [v22] : (ordinal(v20) = v21 & in(v19, v20) = v22 & ( ~ (v21 = 0) | v22 = 0))) &  ! [v19] :  ! [v20] : ( ~ (proper_subset(v20, v19) = 0) |  ? [v21] : ( ~ (v21 = 0) & subset(v19, v20) = v21)) &  ! [v19] :  ! [v20] : ( ~ (proper_subset(v19, v20) = 0) | subset(v19, v20) = 0) &  ! [v19] :  ! [v20] : ( ~ (proper_subset(v19, v20) = 0) |  ? [v21] : ( ~ (v21 = 0) & proper_subset(v20, v19) = v21)) &  ! [v19] :  ! [v20] : ( ~ (in(v19, v20) = 0) |  ? [v21] : ( ~ (v21 = 0) & empty(v20) = v21)) &  ! [v19] :  ! [v20] : ( ~ (in(v19, v20) = 0) |  ? [v21] : ( ~ (v21 = 0) & in(v20, v19) = v21)) &  ! [v19] :  ! [v20] : ( ~ (in(v19, v20) = 0) |  ? [v21] : (in(v21, v20) = 0 &  ! [v22] : ( ~ (in(v22, v20) = 0) |  ? [v23] : ( ~ (v23 = 0) & in(v22, v21) = v23)))) &  ? [v19] :  ! [v20] : ( ~ (function(v20) = 0) |  ? [v21] :  ? [v22] : (relation_dom(v20) = v22 & relation(v20) = v21 & ( ~ (v21 = 0) |  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : ( ~ (relation_composition(v23, v20) = v24) |  ~ (relation_dom(v24) = v25) |  ~ (in(v19, v25) = v26) |  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] : (relation_dom(v23) = v29 & apply(v23, v19) = v31 & relation(v23) = v27 & function(v23) = v28 & in(v31, v22) = v32 & in(v19, v29) = v30 & ( ~ (v28 = 0) |  ~ (v27 = 0) | (( ~ (v32 = 0) |  ~ (v30 = 0) | v26 = 0) & ( ~ (v26 = 0) | (v32 = 0 & v30 = 0))))))))) &  ? [v19] :  ! [v20] : ( ~ (function(v20) = 0) |  ? [v21] :  ? [v22] : (relation_dom(v20) = v22 & relation(v20) = v21 & ( ~ (v21 = 0) |  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (relation_dom(v23) = v24) |  ~ (set_intersection2(v24, v19) = v25) |  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] : (relation_dom_restriction(v23, v19) = v28 & relation(v23) = v26 & function(v23) = v27 & ( ~ (v27 = 0) |  ~ (v26 = 0) | (( ~ (v28 = v20) | (v25 = v22 &  ! [v33] : ( ~ (in(v33, v22) = 0) |  ? [v34] : (apply(v23, v33) = v34 & apply(v20, v33) = v34)))) & ( ~ (v25 = v22) | v28 = v20 | (v30 = 0 &  ~ (v32 = v31) & apply(v23, v29) = v32 & apply(v20, v29) = v31 & in(v29, v22) = 0))))))))) &  ! [v19] : (v19 = empty_set |  ~ (set_meet(empty_set) = v19)) &  ! [v19] : (v19 = empty_set |  ~ (subset(v19, empty_set) = 0)) &  ! [v19] : (v19 = empty_set |  ~ (relation(v19) = 0) |  ? [v20] :  ? [v21] :  ? [v22] : (ordered_pair(v20, v21) = v22 & in(v22, v19) = 0)) &  ! [v19] : (v19 = empty_set |  ~ (empty(v19) = 0)) &  ! [v19] : ( ~ (being_limit_ordinal(v19) = 0) | union(v19) = v19) &  ! [v19] :  ~ (singleton(v19) = empty_set) &  ! [v19] : ( ~ (epsilon_connected(v19) = 0) |  ? [v20] :  ? [v21] : (ordinal(v19) = v21 & epsilon_transitive(v19) = v20 & ( ~ (v20 = 0) | v21 = 0))) &  ! [v19] : ( ~ (function(v19) = 0) |  ? [v20] :  ? [v21] :  ? [v22] : (relation_rng(v19) = v21 & relation_dom(v19) = v22 & relation(v19) = v20 & ( ~ (v20 = 0) | ( ! [v23] :  ! [v24] :  ! [v25] : (v24 = 0 |  ~ (in(v25, v22) = 0) |  ~ (in(v23, v21) = v24) |  ? [v26] : ( ~ (v26 = v23) & apply(v19, v25) = v26)) &  ! [v23] : ( ~ (in(v23, v21) = 0) |  ? [v24] : (apply(v19, v24) = v23 & in(v24, v22) = 0)) &  ? [v23] : (v23 = v21 |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (in(v24, v23) = v25 & ( ~ (v25 = 0) |  ! [v29] : ( ~ (in(v29, v22) = 0) |  ? [v30] : ( ~ (v30 = v24) & apply(v19, v29) = v30))) & (v25 = 0 | (v28 = v24 & v27 = 0 & apply(v19, v26) = v24 & in(v26, v22) = 0)))))))) &  ! [v19] : ( ~ (function(v19) = 0) |  ? [v20] :  ? [v21] : (relation_dom(v19) = v21 & relation(v19) = v20 & ( ~ (v20 = 0) | ( ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : (v25 = 0 |  ~ (relation_image(v19, v22) = v23) |  ~ (in(v26, v21) = 0) |  ~ (in(v24, v23) = v25) |  ? [v27] :  ? [v28] : (apply(v19, v26) = v28 & in(v26, v22) = v27 & ( ~ (v28 = v24) |  ~ (v27 = 0)))) &  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (relation_image(v19, v22) = v23) |  ~ (in(v24, v23) = 0) |  ? [v25] : (apply(v19, v25) = v24 & in(v25, v22) = 0 & in(v25, v21) = 0)) &  ? [v22] :  ! [v23] :  ! [v24] : (v24 = v22 |  ~ (relation_image(v19, v23) = v24) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : (in(v25, v22) = v26 & ( ~ (v26 = 0) |  ! [v31] : ( ~ (in(v31, v21) = 0) |  ? [v32] :  ? [v33] : (apply(v19, v31) = v33 & in(v31, v23) = v32 & ( ~ (v33 = v25) |  ~ (v32 = 0))))) & (v26 = 0 | (v30 = v25 & v29 = 0 & v28 = 0 & apply(v19, v27) = v25 & in(v27, v23) = 0 & in(v27, v21) = 0)))))))) &  ! [v19] : ( ~ (function(v19) = 0) |  ? [v20] :  ? [v21] : (relation_dom(v19) = v21 & relation(v19) = v20 & ( ~ (v20 = 0) | ( ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : ( ~ (relation_inverse_image(v19, v22) = v23) |  ~ (apply(v19, v24) = v25) |  ~ (in(v25, v22) = v26) |  ? [v27] :  ? [v28] : (in(v24, v23) = v27 & in(v24, v21) = v28 & ( ~ (v27 = 0) | (v28 = 0 & v26 = 0)))) &  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (relation_inverse_image(v19, v22) = v23) |  ~ (apply(v19, v24) = v25) |  ~ (in(v25, v22) = 0) |  ? [v26] :  ? [v27] : (in(v24, v23) = v27 & in(v24, v21) = v26 & ( ~ (v26 = 0) | v27 = 0))) &  ? [v22] :  ! [v23] :  ! [v24] : (v24 = v22 |  ~ (relation_inverse_image(v19, v23) = v24) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (apply(v19, v25) = v28 & in(v28, v23) = v29 & in(v25, v22) = v26 & in(v25, v21) = v27 & ( ~ (v29 = 0) |  ~ (v27 = 0) |  ~ (v26 = 0)) & (v26 = 0 | (v29 = 0 & v27 = 0)))))))) &  ! [v19] : ( ~ (function(v19) = 0) |  ? [v20] :  ? [v21] : (relation_dom(v19) = v21 & relation(v19) = v20 & ( ~ (v20 = 0) | ( ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (ordered_pair(v22, v23) = v24) |  ~ (in(v24, v19) = v25) |  ? [v26] :  ? [v27] : (apply(v19, v22) = v27 & in(v22, v21) = v26 & ( ~ (v26 = 0) | (( ~ (v27 = v23) | v25 = 0) & ( ~ (v25 = 0) | v27 = v23))))) &  ? [v22] :  ! [v23] :  ! [v24] : (v24 = 0 |  ~ (in(v23, v21) = v24) |  ? [v25] : (apply(v19, v23) = v25 & ( ~ (v25 = v22) | v22 = empty_set) & ( ~ (v22 = empty_set) | v25 = empty_set))))))) &  ! [v19] : ( ~ (empty(v19) = 0) | relation(v19) = 0) &  ! [v19] : ( ~ (empty(v19) = 0) |  ? [v20] : (relation_rng(v19) = v20 & relation(v20) = 0 & empty(v20) = 0)) &  ! [v19] : ( ~ (empty(v19) = 0) |  ? [v20] : (relation_dom(v19) = v20 & relation(v20) = 0 & empty(v20) = 0)) &  ! [v19] :  ~ (proper_subset(v19, v19) = 0) &  ! [v19] :  ~ (in(v19, empty_set) = 0) &  ? [v19] :  ? [v20] :  ? [v21] : relation_of2_as_subset(v21, v19, v20) = 0 &  ? [v19] :  ? [v20] :  ? [v21] : relation_of2(v21, v19, v20) = 0 &  ? [v19] :  ? [v20] : (v20 = v19 |  ? [v21] :  ? [v22] :  ? [v23] : (in(v21, v20) = v23 & in(v21, v19) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0)) & (v23 = 0 | v22 = 0))) &  ? [v19] :  ? [v20] : element(v20, v19) = 0 &  ? [v19] :  ? [v20] : (in(v19, v20) = 0 &  ! [v21] :  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (powerset(v21) = v22) |  ~ (in(v22, v20) = v23) |  ? [v24] : ( ~ (v24 = 0) & in(v21, v20) = v24)) &  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (are_equipotent(v21, v20) = v22) |  ? [v23] :  ? [v24] : (subset(v21, v20) = v23 & in(v21, v20) = v24 & ( ~ (v23 = 0) | v24 = 0))) &  ! [v21] :  ! [v22] : ( ~ (subset(v22, v21) = 0) |  ? [v23] :  ? [v24] : (in(v22, v20) = v24 & in(v21, v20) = v23 & ( ~ (v23 = 0) | v24 = 0)))) &  ? [v19] :  ? [v20] : (in(v19, v20) = 0 &  ! [v21] :  ! [v22] : (v22 = 0 |  ~ (are_equipotent(v21, v20) = v22) |  ? [v23] :  ? [v24] : (subset(v21, v20) = v23 & in(v21, v20) = v24 & ( ~ (v23 = 0) | v24 = 0))) &  ! [v21] :  ! [v22] : ( ~ (subset(v22, v21) = 0) |  ? [v23] :  ? [v24] : (in(v22, v20) = v24 & in(v21, v20) = v23 & ( ~ (v23 = 0) | v24 = 0))) &  ! [v21] : ( ~ (in(v21, v20) = 0) |  ? [v22] : (in(v22, v20) = 0 &  ! [v23] : ( ~ (subset(v23, v21) = 0) | in(v23, v22) = 0)))) &  ? [v19] : (v19 = empty_set |  ? [v20] : in(v20, v19) = 0))
% 51.02/13.94  | 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 yields:
% 51.02/13.94  | (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_rng(empty_set) = empty_set & reflexive(all_0_16_16) = all_0_15_15 & inclusion_relation(all_0_17_17) = all_0_16_16 & singleton(empty_set) = all_0_18_18 & 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 & powerset(empty_set) = all_0_18_18 & 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(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) |  ~ (subset(v5, v1) = v6) |  ~ (subset(v3, v0) = v4) |  ? [v7] : ( ~ (v7 = 0) & relation_of2_as_subset(v2, v0, v1) = 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 |  ~ (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] : (v6 = 0 |  ~ (subset(v4, v5) = v6) |  ~ (cartesian_product2(v1, v3) = v5) |  ~ (cartesian_product2(v0, v2) = v4) |  ? [v7] :  ? [v8] : (subset(v2, v3) = v8 & subset(v0, v1) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (ordered_pair(v0, v1) = v4) |  ~ (cartesian_product2(v2, v3) = v5) |  ~ (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] : (v4 = 0 |  ~ (relation_rng(v2) = v5) |  ~ (relation_dom(v2) = v3) |  ~ (subset(v5, v1) = v6) |  ~ (subset(v3, v0) = v4) |  ? [v7] : ( ~ (v7 = 0) & relation_of2_as_subset(v2, v0, v1) = 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 |  ~ (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] : (v4 = 0 |  ~ (ordered_pair(v5, v6) = v3) |  ~ (cartesian_product2(v0, v1) = v2) |  ~ (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] : ( ~ (inclusion_relation(v0) = v1) |  ~ (relation_field(v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (in(v5, v1) = v6) |  ? [v7] :  ? [v8] :  ? [v9] : (( ~ (v7 = 0) & relation(v1) = v7) | (subset(v3, v4) = v9 & in(v4, v0) = v8 & in(v3, v0) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0)))))) &  ! [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) |  ~ (powerset(v0) = v3) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] : (element(v2, v3) = v7 & element(v1, v3) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_rng_as_subset(v0, v1, v2) = v3) |  ~ (powerset(v1) = v4) |  ~ (element(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation_of2(v2, v0, v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_dom_as_subset(v0, v1, v2) = v3) |  ~ (powerset(v0) = v4) |  ~ (element(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation_of2(v2, v0, v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (complements_of_subsets(v0, v1) = v4) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v4, v3) = v5) |  ? [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] : (v5 = 0 |  ~ (cartesian_product2(v0, v1) = v3) |  ~ (powerset(v3) = v4) |  ~ (element(v2, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation_of2_as_subset(v2, 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 = v1 |  ~ (pair_second(v0) = v1) |  ~ (ordered_pair(v4, v5) = v0) |  ~ (ordered_pair(v2, v3) = v0)) &  ! [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] : (v2 = v1 |  ~ (pair_first(v0) = v1) |  ~ (ordered_pair(v4, v5) = v0) |  ~ (ordered_pair(v2, v3) = v0)) &  ! [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_isomorphism(v0, v2, v4) = v5) |  ~ (relation_field(v2) = v3) |  ~ (relation_field(v0) = v1) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] : (( ~ (v6 = 0) & relation(v2) = v6) | ( ~ (v6 = 0) & relation(v0) = v6) | (relation_rng(v4) = v9 & relation_dom(v4) = v8 & one_to_one(v4) = v10 & relation(v4) = v6 & function(v4) = v7 & ( ~ (v7 = 0) |  ~ (v6 = 0) | (( ~ (v10 = 0) |  ~ (v9 = v3) |  ~ (v8 = v1) | v5 = 0 | (apply(v4, v12) = v18 & apply(v4, v11) = v17 & ordered_pair(v17, v18) = v19 & ordered_pair(v11, v12) = v13 & in(v19, v2) = v20 & in(v13, v0) = v14 & in(v12, v1) = v16 & in(v11, v1) = v15 & ( ~ (v20 = 0) |  ~ (v16 = 0) |  ~ (v15 = 0) |  ~ (v14 = 0)) & (v14 = 0 | (v20 = 0 & v16 = 0 & v15 = 0)))) & ( ~ (v5 = 0) | (v10 = 0 & v9 = v3 & v8 = v1 &  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : ( ~ (apply(v4, v22) = v24) |  ~ (apply(v4, v21) = v23) |  ~ (ordered_pair(v23, v24) = v25) |  ~ (in(v25, v2) = v26) |  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : (ordered_pair(v21, v22) = v27 & in(v27, v0) = v28 & in(v22, v1) = v30 & in(v21, v1) = v29 & ( ~ (v28 = 0) | (v30 = 0 & v29 = 0 & v26 = 0)))) &  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (apply(v4, v22) = v24) |  ~ (apply(v4, v21) = v23) |  ~ (ordered_pair(v23, v24) = v25) |  ~ (in(v25, v2) = 0) |  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (ordered_pair(v21, v22) = v28 & in(v28, v0) = v29 & in(v22, v1) = v27 & in(v21, v1) = v26 & ( ~ (v27 = 0) |  ~ (v26 = 0) | v29 = 0)))))))))) &  ! [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] : ( ~ (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] :  ! [v5] : ( ~ (subset(v3, v4) = v5) |  ~ (cartesian_product2(v1, v2) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (subset(v7, v8) = v9 & subset(v0, v1) = v6 & cartesian_product2(v2, v1) = v8 & cartesian_product2(v2, v0) = v7 & ( ~ (v6 = 0) | (v9 = 0 & v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v0, v1) = v4) |  ~ (cartesian_product2(v2, v3) = v5) |  ~ (in(v4, v5) = 0) | (in(v1, v3) = 0 & in(v0, v2) = 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 |  ~ (relation_of2_as_subset(v3, v2, v1) = v4) |  ~ (relation_of2_as_subset(v3, v2, v0) = 0) |  ? [v5] : ( ~ (v5 = 0) & subset(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (meet_of_subsets(v0, v1) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v3, v2) = v4) |  ? [v5] :  ? [v6] : ( ~ (v6 = 0) & powerset(v2) = v5 & element(v1, v5) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (union_of_subsets(v0, v1) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v3, v2) = v4) |  ? [v5] :  ? [v6] : ( ~ (v6 = 0) & powerset(v2) = v5 & element(v1, v5) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (function_inverse(v2) = v3) |  ~ (relation_isomorphism(v1, v0, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (relation(v0) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_isomorphism(v0, v1, v2) = v7 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subset_complement(v0, v1) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v3, v2) = v4) |  ? [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) |  ~ (relation_dom(v0) = v1) |  ~ (subset(v0, v3) = v4) |  ~ (cartesian_product2(v1, v2) = v3) |  ? [v5] : ( ~ (v5 = 0) & relation(v0) = 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(v2, v3) = v4) |  ~ (cartesian_product2(v0, v1) = v3) |  ? [v5] : ( ~ (v5 = 0) & relation_of2(v2, v0, v1) = v5)) &  ! [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] : (v4 = 0 |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ~ (element(v0, v2) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (powerset(v0) = v2) |  ~ (element(v1, v2) = 0) |  ~ (in(v3, v0) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v3, v1) = v5)) &  ! [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 |  ~ (relation_of2_as_subset(v4, v3, v2) = v1) |  ~ (relation_of2_as_subset(v4, v3, v2) = v0)) &  ! [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 |  ~ (relation_rng_as_subset(v4, v3, v2) = v1) |  ~ (relation_rng_as_subset(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_dom_as_subset(v4, v3, v2) = v1) |  ~ (relation_dom_as_subset(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_isomorphism(v4, v3, v2) = v1) |  ~ (relation_isomorphism(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_of2(v4, v3, v2) = v1) |  ~ (relation_of2(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 & powerset(v5) = v6 & powerset(v0) = v5 & element(v1, v6) = v7 & ( ~ (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 & powerset(v5) = v6 & powerset(v0) = v5 & element(v1, v6) = v7 & ( ~ (v7 = 0) | v9 = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_of2_as_subset(v3, v2, v0) = 0) |  ~ (relation_rng(v3) = v4) |  ~ (subset(v4, v1) = 0) | relation_of2_as_subset(v3, v2, v1) = 0) &  ! [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] : ( ~ (cartesian_product2(v0, v1) = v3) |  ~ (powerset(v3) = v4) |  ~ (element(v2, v4) = 0) | relation(v2) = 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] :  ! [v4] : (v2 = v0 |  ~ (pair_second(v1) = v2) |  ~ (ordered_pair(v3, v4) = v1) |  ? [v5] :  ? [v6] : ( ~ (v6 = v0) & ordered_pair(v5, v6) = v1)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (pair_first(v1) = v2) |  ~ (ordered_pair(v3, v4) = v1) |  ? [v5] :  ? [v6] : ( ~ (v5 = v0) & ordered_pair(v5, v6) = 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 |  ~ (relation_rng_as_subset(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : ((v5 = 0 & in(v4, v1) = 0 &  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v6, v4) = v7) |  ~ (in(v7, v2) = 0))) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (relation_dom_as_subset(v1, v0, v2) = v3) |  ? [v4] :  ? [v5] : ((v5 = 0 & in(v4, v1) = 0 &  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v4, v6) = v7) |  ~ (in(v7, v2) = 0))) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v1, v0) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (subset_complement(v0, v2) = v3) |  ~ (subset_complement(v0, v1) = v2) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & powerset(v0) = v4 & element(v1, v4) = v5)) &  ! [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) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v2) = v3)) &  ! [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 |  ~ (relation_of2(v2, v0, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, 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(v2, v0) = v3) |  ~ (powerset(v0) = v1) |  ? [v4] : ( ~ (v4 = 0) & in(v2, v1) = v4)) &  ! [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] : (v3 = 0 |  ~ (powerset(v1) = v2) |  ~ (element(v0, v2) = v3) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & in(v4, v1) = v5 & in(v4, v0) = 0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (powerset(v1) = v2) |  ~ (element(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) &  ! [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] : (v2 = 0 |  ~ (relation_isomorphism(v0, v1, v3) = 0) |  ~ (well_ordering(v1) = v2) |  ~ (well_ordering(v0) = 0) |  ? [v4] :  ? [v5] : (( ~ (v4 = 0) & relation(v1) = v4) | ( ~ (v4 = 0) & relation(v0) = v4) | (relation(v3) = v4 & function(v3) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0))))) &  ! [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 |  ~ (disjoint(v3, v2) = v1) |  ~ (disjoint(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 |  ~ (cartesian_product2(v3, v2) = v1) |  ~ (cartesian_product2(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (element(v3, v2) = v1) |  ~ (element(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 |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] : ( ~ (v4 = empty_set) & complements_of_subsets(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (relation_rng(v2) = v5 & relation_of2(v2, v0, v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v1) |  ~ (in(v3, v1) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : ((v6 = 0 & ordered_pair(v4, v3) = v5 & in(v5, v2) = 0) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_as_subset(v1, v0, v2) = v1) |  ~ (in(v3, v1) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : ((v6 = 0 & ordered_pair(v3, v4) = v5 & in(v5, v2) = 0) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v1, v0) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_as_subset(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (relation_of2(v2, v0, v1) = v4 & relation_dom(v2) = v5 & ( ~ (v4 = 0) | v5 = v3))) &  ! [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] : ( ~ (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] : ( ~ (subset(v2, v3) = 0) |  ~ (cartesian_product2(v0, v1) = v3) | relation_of2(v2, v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v2) = v3) |  ~ (cartesian_product2(v1, v1) = v2) |  ~ (relation(v0) = 0) | relation_restriction(v0, v1) = v3) &  ! [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] : ( ~ (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] : ( ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] : (meet_of_subsets(v0, v1) = v4 & set_meet(v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] : (union_of_subsets(v0, v1) = v4 & union(v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] : (complements_of_subsets(v0, v4) = v1 & complements_of_subsets(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [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] : ( ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ~ (in(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ? [v4] : (subset_difference(v0, v1, v2) = v4 & set_difference(v1, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (in(v1, v2) = 0) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & subset_complement(v0, v2) = v4 & in(v1, v4) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v2) |  ~ (element(v3, v2) = 0) |  ~ (element(v1, v2) = 0) |  ? [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] : (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 |  ~ (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] :  ! [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] : (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 |  ~ (inclusion_relation(v0) = v2) |  ~ (relation_field(v1) = v0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v6 = 0 & v5 = 0 & subset(v3, v4) = v9 & ordered_pair(v3, v4) = v7 & in(v7, v1) = v8 & in(v4, v0) = 0 & in(v3, v0) = 0 & ( ~ (v9 = 0) |  ~ (v8 = 0)) & (v9 = 0 | v8 = 0)) | ( ~ (v3 = 0) & relation(v1) = v3))) &  ! [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 |  ~ (inclusion_relation(v0) = v1) |  ~ (relation_field(v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & relation(v1) = v3)) &  ! [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 |  ~ (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 |  ~ (element(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = 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 |  ~ (pair_second(v2) = v1) |  ~ (pair_second(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (inclusion_relation(v2) = v1) |  ~ (inclusion_relation(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 |  ~ (pair_first(v2) = v1) |  ~ (pair_first(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 |  ~ (powerset(v2) = v1) |  ~ (powerset(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 |  ~ (powerset(v0) = v1) |  ~ (element(v2, v1) = 0) |  ? [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] : (well_ordering(v2) = v5 & well_ordering(v1) = v4 & relation(v1) = 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] : ( ~ (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] : ( ~ (relation_of2(v2, v0, v1) = 0) | relation_of2_as_subset(v2, v0, 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(v1) = v2) |  ~ (subset(v0, v2) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation_restriction(v1, v0) = v5 & well_ordering(v1) = v4 & relation_field(v5) = v6 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v6 = v0))) &  ! [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(v2, v0) = 0) |  ~ (powerset(v0) = v1) | in(v2, v1) = 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) | pair_second(v2) = v1) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | pair_first(v2) = v0) &  ! [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] : ( ~ (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] : ( ~ (powerset(v1) = v2) |  ~ (element(v0, v2) = 0) | subset(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v2) |  ~ (element(v1, v2) = 0) |  ? [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] : ( ~ (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 |  ~ (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] :  ! [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] : (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) & powerset(v0) = v2 & element(v3, v2) = 0 & empty(v3) = v4)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation_rng(v0) = v3 & relation(v0) = v2 & empty(v3) = v4 & ( ~ (v4 = 0) |  ~ (v2 = 0)))) &  ! [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] : (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] :  ? [v6] : (reflexive(v0) = v3 & transitive(v0) = v4 & connected(v0) = v5 & antisymmetric(v0) = v6 & relation(v0) = v2 & ( ~ (v2 = 0) |  ! [v7] :  ! [v8] : ( ~ (well_founded_relation(v7) = v8) |  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : (reflexive(v7) = v10 & transitive(v7) = v11 & connected(v7) = v12 & antisymmetric(v7) = v13 & relation(v7) = v9 & ( ~ (v9 = 0) | ( ! [v14] : ( ~ (v6 = 0) | v13 = 0 |  ~ (relation_isomorphism(v0, v7, v14) = 0) |  ? [v15] :  ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) |  ~ (v15 = 0)))) &  ! [v14] : ( ~ (v5 = 0) | v12 = 0 |  ~ (relation_isomorphism(v0, v7, v14) = 0) |  ? [v15] :  ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) |  ~ (v15 = 0)))) &  ! [v14] : ( ~ (v4 = 0) | v11 = 0 |  ~ (relation_isomorphism(v0, v7, v14) = 0) |  ? [v15] :  ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) |  ~ (v15 = 0)))) &  ! [v14] : ( ~ (v3 = 0) | v10 = 0 |  ~ (relation_isomorphism(v0, v7, v14) = 0) |  ? [v15] :  ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) |  ~ (v15 = 0)))) &  ! [v14] : ( ~ (v1 = 0) | v8 = 0 |  ~ (relation_isomorphism(v0, v7, v14) = 0) |  ? [v15] :  ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) |  ~ (v15 = 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] : ( ~ (inclusion_relation(v0) = v1) | relation(v1) = 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] : ( ~ (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] : ( ~ (element(v0, v1) = 0) |  ? [v2] :  ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 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_rng(v0) = v1 & relation(v1) = 0 & empty(v1) = 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] :  ? [v2] : relation_of2_as_subset(v2, v0, v1) = 0 &  ? [v0] :  ? [v1] :  ? [v2] : relation_of2(v2, v0, v1) = 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)
% 51.49/14.02  |
% 51.49/14.02  | Applying alpha-rule on (1) yields:
% 51.49/14.02  | (2) epsilon_connected(all_0_12_12) = 0
% 51.49/14.02  | (3)  ! [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))))))
% 51.49/14.02  | (4)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (disjoint(v3, v2) = v1) |  ~ (disjoint(v3, v2) = v0))
% 51.49/14.02  | (5)  ! [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)))))
% 51.49/14.02  | (6)  ! [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))
% 51.49/14.02  | (7)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 | v4 = v1 | v4 = v0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v4, v3) = 0))
% 51.49/14.02  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_dom_as_subset(v4, v3, v2) = v1) |  ~ (relation_dom_as_subset(v4, v3, v2) = v0))
% 51.49/14.02  | (9)  ! [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))))))
% 51.49/14.02  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = 0 |  ~ (relation_rng(v2) = v5) |  ~ (relation_dom(v2) = v3) |  ~ (subset(v5, v1) = v6) |  ~ (subset(v3, v0) = v4) |  ? [v7] : ( ~ (v7 = 0) & relation_of2_as_subset(v2, v0, v1) = v7))
% 51.49/14.02  | (11)  ! [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)))
% 51.49/14.02  | (12)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, empty_set) = v1))
% 51.49/14.02  | (13)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_inverse(v2) = v1) |  ~ (relation_inverse(v2) = v0))
% 51.49/14.02  | (14)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (well_ordering(v2) = v1) |  ~ (well_ordering(v2) = v0))
% 51.49/14.02  | (15)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (antisymmetric(v2) = v1) |  ~ (antisymmetric(v2) = v0))
% 51.49/14.02  | (16) inclusion_relation(all_0_17_17) = all_0_16_16
% 51.49/14.02  | (17)  ! [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)))
% 51.49/14.02  | (18)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (singleton(v0) = v1) |  ~ (in(v0, v1) = v2))
% 51.49/14.02  | (19)  ? [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)))))
% 51.49/14.02  | (20)  ! [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))
% 51.49/14.02  | (21)  ! [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))))
% 51.49/14.02  | (22)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (ordered_pair(v0, v1) = v4) |  ~ (cartesian_product2(v2, v3) = v5) |  ~ (in(v4, v5) = v6) |  ? [v7] :  ? [v8] : (in(v1, v3) = v8 & in(v0, v2) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0))))
% 51.49/14.02  | (23)  ! [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))))
% 51.49/14.03  | (24)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v0) = v1) |  ~ (in(v2, v1) = 0))
% 51.49/14.03  | (25) epsilon_transitive(all_0_5_5) = 0
% 51.49/14.03  | (26)  ! [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)))
% 51.49/14.03  | (27)  ? [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)))))
% 51.49/14.03  | (28)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subset_complement(v0, v1) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v3, v2) = v4) |  ? [v5] : ( ~ (v5 = 0) & element(v1, v2) = v5))
% 51.49/14.03  | (29)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_dom(v1) = v0)
% 51.49/14.03  | (30)  ! [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))))))
% 51.49/14.03  | (31) empty(all_0_5_5) = 0
% 51.49/14.03  | (32)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (in(v1, v2) = 0) |  ~ (in(v0, v1) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v2, v0) = v3))
% 51.49/14.03  | (33) function(all_0_5_5) = 0
% 51.49/14.03  | (34)  ! [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)))
% 51.49/14.03  | (35) relation(all_0_13_13) = 0
% 51.49/14.03  | (36)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (cast_to_subset(v2) = v1) |  ~ (cast_to_subset(v2) = v0))
% 51.49/14.03  | (37)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | pair_first(v2) = v0)
% 51.49/14.03  | (38)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v2) |  ~ (element(v1, v2) = 0) |  ? [v3] : (subset_complement(v0, v1) = v3 & set_difference(v0, v1) = v3))
% 51.49/14.03  | (39)  ? [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)))))
% 51.49/14.03  | (40) function(all_0_0_0) = 0
% 51.49/14.03  | (41)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_restriction(v3, v2) = v1) |  ~ (relation_restriction(v3, v2) = v0))
% 51.49/14.03  | (42)  ! [v0] :  ~ (proper_subset(v0, v0) = 0)
% 51.49/14.03  | (43)  ! [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))))
% 51.49/14.03  | (44)  ! [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)))
% 51.49/14.03  | (45)  ! [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)))))
% 51.49/14.03  | (46) relation(all_0_14_14) = 0
% 51.49/14.03  | (47)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] :  ? [v4] : (set_intersection2(v0, v1) = v3 & in(v4, v3) = 0))
% 51.49/14.03  | (48)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4))
% 51.49/14.03  | (49)  ! [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))
% 51.49/14.03  | (50)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (connected(v2) = v1) |  ~ (connected(v2) = v0))
% 51.49/14.03  | (51) relation(all_0_5_5) = 0
% 51.49/14.03  | (52)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v0, v1) = v3) |  ~ (powerset(v3) = v4) |  ~ (element(v2, v4) = 0) | relation(v2) = 0)
% 51.49/14.03  | (53)  ? [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)))))))))
% 51.49/14.03  | (54)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset(v3, v2) = 0) |  ~ (unordered_pair(v0, v1) = v3) | (in(v1, v2) = 0 & in(v0, v2) = 0))
% 51.49/14.03  | (55)  ! [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))
% 51.49/14.03  | (56)  ! [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))))
% 51.49/14.03  | (57) empty(empty_set) = 0
% 51.49/14.03  | (58)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (function(v2) = v1) |  ~ (function(v2) = v0))
% 51.49/14.03  | (59)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (succ(v0) = v1) |  ~ (in(v0, v1) = v2))
% 51.49/14.03  | (60)  ! [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)))))
% 51.49/14.03  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v1) |  ~ (in(v3, v1) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : ((v6 = 0 & ordered_pair(v4, v3) = v5 & in(v5, v2) = 0) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4)))
% 51.49/14.03  | (62)  ! [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)))))
% 51.49/14.03  | (63) empty(all_0_4_4) = 0
% 51.49/14.03  | (64)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_reflexive_in(v3, v2) = v1) |  ~ (is_reflexive_in(v3, v2) = v0))
% 51.49/14.03  | (65)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (powerset(v1) = v2) |  ~ (element(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 51.49/14.03  | (66)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (fiber(v3, v2) = v1) |  ~ (fiber(v3, v2) = v0))
% 51.49/14.03  | (67)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (relation_rng_as_subset(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : ((v5 = 0 & in(v4, v1) = 0 &  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v6, v4) = v7) |  ~ (in(v7, v2) = 0))) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4)))
% 51.49/14.03  | (68)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_difference(v0, empty_set) = v1))
% 51.49/14.03  | (69)  ! [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))))
% 51.49/14.04  | (70)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_transitive_in(v3, v2) = v1) |  ~ (is_transitive_in(v3, v2) = v0))
% 51.49/14.04  | (71)  ! [v0] :  ! [v1] : ( ~ (epsilon_connected(v0) = v1) |  ? [v2] :  ? [v3] : (ordinal(v0) = v2 & epsilon_transitive(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0))))
% 51.49/14.04  | (72) relation(all_0_7_7) = 0
% 51.49/14.04  | (73)  ! [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))))))
% 51.49/14.04  | (74)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3))
% 51.49/14.04  | (75) function(empty_set) = 0
% 51.49/14.04  | (76)  ! [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)))))))
% 51.49/14.04  | (77)  ! [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))
% 51.49/14.04  | (78)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_as_subset(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (relation_of2(v2, v0, v1) = v4 & relation_dom(v2) = v5 & ( ~ (v4 = 0) | v5 = v3)))
% 51.49/14.04  | (79)  ! [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)))
% 51.49/14.04  | (80)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~ (powerset(v2) = v0))
% 51.49/14.04  | (81)  ! [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))
% 51.49/14.04  | (82)  ! [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))
% 51.49/14.04  | (83)  ! [v0] : (v0 = empty_set |  ~ (empty(v0) = 0))
% 51.49/14.04  | (84)  ! [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)))
% 51.49/14.04  | (85)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_intersection2(v3, v2) = v1) |  ~ (set_intersection2(v3, v2) = v0))
% 51.49/14.04  | (86)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2)
% 51.49/14.04  | (87)  ! [v0] :  ! [v1] : ( ~ (epsilon_transitive(v0) = 0) |  ~ (proper_subset(v0, v1) = 0) |  ? [v2] :  ? [v3] : (ordinal(v1) = v2 & in(v0, v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 51.49/14.04  | (88)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v2, v0) = v3) |  ~ (set_intersection2(v0, v1) = v2))
% 51.49/14.04  | (89)  ! [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)))))
% 51.49/14.04  | (90)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (complements_of_subsets(v3, v2) = v1) |  ~ (complements_of_subsets(v3, v2) = v0))
% 51.49/14.04  | (91)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ~ (in(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4))
% 51.49/14.04  | (92)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_of2(v4, v3, v2) = v1) |  ~ (relation_of2(v4, v3, v2) = v0))
% 51.49/14.04  | (93)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (cast_to_subset(v0) = v1))
% 51.49/14.04  | (94) ordinal(empty_set) = 0
% 51.49/14.04  | (95)  ? [v0] :  ? [v1] :  ? [v2] : relation_of2(v2, v0, v1) = 0
% 51.49/14.04  | (96)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ? [v4] : (subset_difference(v0, v1, v2) = v4 & set_difference(v1, v2) = v4))
% 51.49/14.04  | (97)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_of2_as_subset(v3, v2, v1) = v4) |  ~ (relation_of2_as_subset(v3, v2, v0) = 0) |  ? [v5] : ( ~ (v5 = 0) & subset(v0, v1) = v5))
% 51.49/14.04  | (98)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_dom_as_subset(v0, v1, v2) = v3) |  ~ (powerset(v0) = v4) |  ~ (element(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation_of2(v2, v0, v1) = v6))
% 51.49/14.04  | (99)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | pair_second(v2) = v1)
% 51.49/14.04  | (100)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (singleton(v0) = v1) |  ~ (subset(empty_set, v1) = v2))
% 51.49/14.04  | (101)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0))))
% 51.66/14.04  | (102)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_antisymmetric_in(v3, v2) = v1) |  ~ (is_antisymmetric_in(v3, v2) = v0))
% 51.66/14.04  | (103)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset(v2, v3) = 0) |  ~ (cartesian_product2(v0, v1) = v3) | relation_of2(v2, v0, v1) = 0)
% 51.66/14.04  | (104) reflexive(all_0_16_16) = all_0_15_15
% 51.66/14.04  | (105)  ! [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))
% 51.66/14.04  | (106)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ? [v3] :  ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0)))
% 51.66/14.04  | (107) ordinal(all_0_12_12) = 0
% 51.66/14.04  | (108)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation_rng(v0) = v3 & relation(v0) = v2 & empty(v3) = v4 & ( ~ (v4 = 0) |  ~ (v2 = 0))))
% 51.66/14.04  | (109)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] : (meet_of_subsets(v0, v1) = v4 & set_meet(v1) = v4))
% 51.66/14.04  | (110)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = empty_set) & set_intersection2(v0, v1) = v3))
% 51.66/14.04  | (111)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v1) = v2) |  ? [v3] :  ? [v4] : (in(v3, v0) = v4 & ( ~ (v4 = 0) |  ~ (v3 = v1)) & (v4 = 0 | v3 = v1)))
% 51.66/14.04  | (112)  ! [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)))
% 51.66/14.04  | (113)  ! [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))
% 51.66/14.05  | (114)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (relation_rng(v0) = v2) |  ~ (relation_dom(v0) = v1) |  ~ (subset(v0, v3) = v4) |  ~ (cartesian_product2(v1, v2) = v3) |  ? [v5] : ( ~ (v5 = 0) & relation(v0) = v5))
% 51.66/14.05  | (115)  ? [v0] :  ? [v1] :  ? [v2] : relation_of2_as_subset(v2, v0, v1) = 0
% 51.66/14.05  | (116)  ! [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))))))))
% 51.66/14.05  | (117) powerset(empty_set) = all_0_18_18
% 51.66/14.05  | (118)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (well_founded_relation(v2) = v1) |  ~ (well_founded_relation(v2) = v0))
% 51.66/14.05  | (119)  ! [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))))
% 51.66/14.05  | (120)  ! [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)))
% 51.66/14.05  | (121)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_as_subset(v1, v0, v2) = v1) |  ~ (in(v3, v1) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : ((v6 = 0 & ordered_pair(v3, v4) = v5 & in(v5, v2) = 0) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v1, v0) = v4)))
% 51.66/14.05  | (122)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v2) = v3) |  ~ (set_difference(v0, v1) = v2) | set_intersection2(v0, v1) = v3)
% 51.66/14.05  | (123)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_difference(empty_set, v0) = v1))
% 51.66/14.05  | (124)  ! [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))))
% 51.66/14.05  | (125)  ! [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 & powerset(v5) = v6 & powerset(v0) = v5 & element(v1, v6) = v7 & ( ~ (v7 = 0) | v9 = v4)))
% 51.66/14.05  | (126)  ! [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))
% 51.66/14.05  | (127)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subset(v2, v3) = v4) |  ~ (cartesian_product2(v0, v1) = v3) |  ? [v5] : ( ~ (v5 = 0) & relation_of2(v2, v0, v1) = v5))
% 51.66/14.05  | (128)  ! [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)))))
% 51.66/14.05  | (129)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (set_intersection2(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 51.66/14.05  | (130)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation_dom(v0) = v3 & relation(v0) = v2 & empty(v3) = v4 & ( ~ (v4 = 0) |  ~ (v2 = 0))))
% 51.66/14.05  | (131)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_composition(v3, v2) = v1) |  ~ (relation_composition(v3, v2) = v0))
% 51.66/14.05  | (132)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ordered_pair(v3, v2) = v1) |  ~ (ordered_pair(v3, v2) = v0))
% 51.66/14.05  | (133)  ! [v0] :  ! [v1] : ( ~ (unordered_pair(v0, v0) = v1) | singleton(v0) = v1)
% 51.66/14.05  | (134)  ? [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))))
% 51.66/14.05  | (135)  ? [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)))
% 51.66/14.05  | (136)  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] :  ? [v3] :  ? [v4] : (in(v2, v1) = v4 & in(v2, v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0)) & (v4 = 0 | v3 = 0)))
% 51.66/14.05  | (137)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v2, v0) = v3) |  ~ (powerset(v0) = v1) |  ? [v4] : ( ~ (v4 = 0) & in(v2, v1) = v4))
% 51.66/14.05  | (138)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] : (in(v3, v1) = 0 & in(v3, v0) = 0))
% 51.66/14.05  | (139)  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2))
% 51.66/14.05  | (140)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (subset_complement(v0, v2) = v3) |  ~ (subset_complement(v0, v1) = v2) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & powerset(v0) = v4 & element(v1, v4) = v5))
% 51.66/14.05  | (141) epsilon_transitive(all_0_1_1) = 0
% 51.66/14.05  | (142)  ? [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)))
% 51.66/14.05  | (143)  ! [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))))))
% 51.66/14.05  | (144)  ! [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)))
% 51.66/14.05  | (145) relation(all_0_0_0) = 0
% 51.66/14.05  | (146)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v0, v1) = v4) |  ~ (cartesian_product2(v2, v3) = v5) |  ~ (in(v4, v5) = 0) | (in(v1, v3) = 0 & in(v0, v2) = 0))
% 51.66/14.05  | (147)  ! [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))))
% 51.66/14.05  | (148)  ! [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)))))))
% 51.66/14.05  | (149)  ! [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)))
% 51.66/14.05  | (150) epsilon_connected(empty_set) = 0
% 51.66/14.05  | (151)  ! [v0] :  ! [v1] : ( ~ (proper_subset(v0, v1) = 0) | subset(v0, v1) = 0)
% 51.66/14.05  | (152)  ! [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))
% 51.66/14.06  | (153)  ! [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))))))))
% 51.66/14.06  | (154)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (proper_subset(v3, v2) = v1) |  ~ (proper_subset(v3, v2) = v0))
% 51.66/14.06  | (155)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (relation_rng(v2) = v5) |  ~ (relation_dom(v2) = v3) |  ~ (subset(v5, v1) = v6) |  ~ (subset(v3, v0) = v4) |  ? [v7] : ( ~ (v7 = 0) & relation_of2_as_subset(v2, v0, v1) = v7))
% 51.66/14.06  | (156)  ! [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))
% 51.66/14.06  | (157)  ! [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))
% 51.66/14.06  | (158)  ! [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))))
% 51.66/14.06  | (159)  ! [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)))
% 51.66/14.06  | (160)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_of2_as_subset(v4, v3, v2) = v1) |  ~ (relation_of2_as_subset(v4, v3, v2) = v0))
% 51.66/14.06  | (161)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (subset(v0, v0) = v1))
% 51.66/14.06  | (162)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2)
% 51.66/14.06  | (163)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_dom(v2) = v1) |  ~ (relation_dom(v2) = v0))
% 51.66/14.06  | (164)  ! [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))))))
% 51.66/14.06  | (165)  ! [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))))
% 51.66/14.06  | (166)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (ordinal(v2) = v1) |  ~ (ordinal(v2) = v0))
% 51.66/14.06  | (167)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (singleton(v2) = v1) |  ~ (singleton(v2) = v0))
% 51.66/14.06  | (168)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v0, v2) = v3) |  ~ (set_union2(v0, v1) = v2))
% 51.66/14.06  | (169) relation(all_0_4_4) = 0
% 51.66/14.06  | (170)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (subset(v0, v1) = v2) |  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0))
% 51.66/14.06  | (171) empty(all_0_12_12) = all_0_11_11
% 51.66/14.06  | (172)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & powerset(v0) = v2 & element(v3, v2) = 0 & empty(v3) = v4))
% 51.66/14.06  | (173)  ! [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))))
% 51.66/14.06  | (174)  ! [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)))))
% 51.66/14.06  | (175) function(all_0_10_10) = 0
% 51.66/14.06  | (176)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pair_first(v2) = v1) |  ~ (pair_first(v2) = v0))
% 51.66/14.06  | (177)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (epsilon_transitive(v2) = v1) |  ~ (epsilon_transitive(v2) = v0))
% 51.66/14.06  | (178)  ! [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)))))
% 51.66/14.06  | (179)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (singleton(v1) = v0) |  ~ (subset(v0, v0) = v2))
% 51.66/14.06  | (180)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (are_equipotent(v3, v2) = v1) |  ~ (are_equipotent(v3, v2) = v0))
% 51.66/14.06  | (181)  ! [v0] :  ! [v1] : ( ~ (set_difference(v0, v1) = empty_set) | subset(v0, v1) = 0)
% 51.66/14.06  | (182)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (set_meet(v2) = v1) |  ~ (set_meet(v2) = v0))
% 51.66/14.06  | (183)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) | set_union2(v0, v1) = v3)
% 51.66/14.06  | (184)  ! [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)))
% 51.66/14.06  | (185)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v2, v3) = v4))
% 51.66/14.06  | (186)  ! [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)))))))))
% 51.66/14.06  | (187) empty(all_0_2_2) = 0
% 51.66/14.06  | (188)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (in(v3, v2) = v1) |  ~ (in(v3, v2) = v0))
% 51.66/14.06  | (189)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = 0 |  ~ (relation_isomorphism(v0, v1, v3) = 0) |  ~ (well_ordering(v1) = v2) |  ~ (well_ordering(v0) = 0) |  ? [v4] :  ? [v5] : (( ~ (v4 = 0) & relation(v1) = v4) | ( ~ (v4 = 0) & relation(v0) = v4) | (relation(v3) = v4 & function(v3) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0)))))
% 51.66/14.06  | (190)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (well_ordering(v2) = v5 & well_ordering(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 51.66/14.06  | (191)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset(v2, v0) = 0) |  ~ (powerset(v0) = v1) | in(v2, v1) = 0)
% 51.66/14.06  | (192)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (well_orders(v3, v2) = v1) |  ~ (well_orders(v3, v2) = v0))
% 51.66/14.06  | (193)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_intersection2(v0, empty_set) = v1))
% 51.66/14.06  | (194)  ! [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))))))
% 51.66/14.06  | (195)  ! [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)))
% 51.66/14.06  | (196)  ? [v0] :  ? [v1] : element(v1, v0) = 0
% 51.66/14.06  | (197)  ! [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)))
% 51.66/14.07  | (198)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v0 | v2 = v0 |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v4))
% 51.66/14.07  | (199)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v2) = v0) |  ~ (singleton(v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3))
% 51.66/14.07  | (200)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_field(v2) = v1) |  ~ (relation_field(v2) = v0))
% 51.66/14.07  | (201)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (set_union2(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 51.66/14.07  | (202)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (element(v3, v2) = v1) |  ~ (element(v3, v2) = v0))
% 51.66/14.07  | (203)  ! [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)))
% 51.66/14.07  | (204)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ (element(v0, v2) = 0) | subset(v0, v1) = 0)
% 51.66/14.07  | (205)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (disjoint(v1, v2) = 0) |  ~ (disjoint(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 51.66/14.07  | (206)  ! [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 & powerset(v5) = v6 & powerset(v0) = v5 & element(v1, v6) = v7 & ( ~ (v7 = 0) | v9 = v4)))
% 51.66/14.07  | (207)  ! [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))))
% 51.66/14.07  | (208)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (powerset(v0) = v2) |  ~ (element(v1, v2) = 0) |  ~ (in(v3, v0) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v3, v1) = v5))
% 51.66/14.07  | (209)  ! [v0] : (v0 = empty_set |  ~ (relation(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (ordered_pair(v1, v2) = v3 & in(v3, v0) = 0))
% 51.66/14.07  | (210) epsilon_transitive(empty_set) = 0
% 51.66/14.07  | (211)  ! [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)))))
% 51.66/14.07  | (212)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (identity_relation(v2) = v1) |  ~ (identity_relation(v2) = v0))
% 51.66/14.07  | (213)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (one_to_one(v2) = v1) |  ~ (one_to_one(v2) = v0))
% 51.66/14.07  | (214) empty(all_0_9_9) = all_0_8_8
% 51.66/14.07  | (215)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (pair_first(v1) = v2) |  ~ (ordered_pair(v3, v4) = v1) |  ? [v5] :  ? [v6] : ( ~ (v5 = v0) & ordered_pair(v5, v6) = v1))
% 51.66/14.07  | (216)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (subset(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4))
% 51.66/14.07  | (217)  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_difference(v0, v1) = v0)
% 51.66/14.07  | (218)  ? [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)))))
% 51.66/14.07  | (219)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (union_of_subsets(v3, v2) = v1) |  ~ (union_of_subsets(v3, v2) = v0))
% 51.66/14.07  | (220)  ! [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))))))
% 51.66/14.07  | (221)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (apply(v2, v1) = v3) |  ~ (identity_relation(v0) = v2) |  ? [v4] : ( ~ (v4 = 0) & in(v1, v0) = v4))
% 51.66/14.07  | (222)  ! [v0] :  ! [v1] : ( ~ (being_limit_ordinal(v0) = 0) |  ~ (succ(v1) = v0) |  ? [v2] : (( ~ (v2 = 0) & ordinal(v1) = v2) | ( ~ (v2 = 0) & ordinal(v0) = v2)))
% 51.66/14.07  | (223)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_rng(v2) = v1) |  ~ (relation_rng(v2) = v0))
% 51.66/14.07  | (224) relation(all_0_10_10) = 0
% 51.66/14.07  | (225)  ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0)
% 51.66/14.07  | (226)  ! [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)))))
% 51.66/14.07  | (227)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (being_limit_ordinal(v0) = v1) |  ? [v2] : ( ~ (v2 = v0) & union(v0) = v2))
% 51.66/14.07  | (228)  ! [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)))
% 51.66/14.07  | (229)  ! [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))
% 51.66/14.07  | (230)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (epsilon_transitive(v0) = v1) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & subset(v2, v0) = v3 & in(v2, v0) = 0))
% 51.66/14.07  | (231)  ? [v0] : (v0 = empty_set |  ? [v1] : in(v1, v0) = 0)
% 51.66/14.07  | (232)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (function_inverse(v2) = v1) |  ~ (function_inverse(v2) = v0))
% 51.66/14.07  | (233)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_rng_restriction(v3, v2) = v1) |  ~ (relation_rng_restriction(v3, v2) = v0))
% 51.66/14.07  | (234)  ! [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))))))))
% 51.66/14.07  | (235)  ! [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))
% 51.66/14.07  | (236)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v3 = v1 |  ~ (pair_second(v0) = v1) |  ~ (ordered_pair(v4, v5) = v0) |  ~ (ordered_pair(v2, v3) = v0))
% 51.66/14.07  | (237)  ! [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))))))
% 51.66/14.07  | (238)  ! [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)))))
% 51.66/14.07  | (239)  ! [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)))
% 51.66/14.07  | (240)  ! [v0] : (v0 = empty_set |  ~ (subset(v0, empty_set) = 0))
% 51.66/14.08  | (241)  ? [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)))))
% 51.66/14.08  | (242)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_of2_as_subset(v3, v2, v0) = 0) |  ~ (relation_rng(v3) = v4) |  ~ (subset(v4, v1) = 0) | relation_of2_as_subset(v3, v2, v1) = 0)
% 51.66/14.08  | (243) relation_empty_yielding(empty_set) = 0
% 51.66/14.08  | (244)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_field(v1) = v2) |  ~ (subset(v0, v2) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation_restriction(v1, v0) = v5 & well_ordering(v1) = v4 & relation_field(v5) = v6 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v6 = v0)))
% 51.66/14.08  | (245)  ! [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)))
% 51.66/14.08  | (246)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | union(v1) = v0)
% 51.66/14.08  | (247)  ! [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)))))
% 51.66/14.08  | (248)  ! [v0] :  ! [v1] : ( ~ (proper_subset(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & proper_subset(v1, v0) = v2))
% 51.66/14.08  | (249) relation_empty_yielding(all_0_13_13) = 0
% 51.66/14.08  | (250)  ? [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))))
% 51.66/14.08  | (251)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pair_second(v2) = v1) |  ~ (pair_second(v2) = v0))
% 51.66/14.08  | (252)  ! [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))
% 51.66/14.08  | (253)  ! [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))
% 51.66/14.08  | (254)  ! [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))
% 51.66/14.08  | (255)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3))
% 51.66/14.08  | (256)  ! [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)))
% 51.66/14.08  | (257)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (subset(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & subset(v1, v0) = v2))
% 51.66/14.08  | (258)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset(v0, v1) = 0) |  ~ (in(v2, v0) = 0) | in(v2, v1) = 0)
% 51.66/14.08  | (259)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (cartesian_product2(v3, v2) = v1) |  ~ (cartesian_product2(v3, v2) = v0))
% 51.66/14.08  | (260)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v0, v3) = v4))
% 51.66/14.08  | (261)  ! [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))))))
% 51.66/14.08  | (262)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_difference(v3, v2) = v1) |  ~ (set_difference(v3, v2) = v0))
% 51.66/14.08  | (263)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] : (relation(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 51.66/14.08  | (264)  ! [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))))
% 51.66/14.08  | (265)  ! [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)))
% 51.66/14.08  | (266)  ! [v0] : (v0 = empty_set |  ~ (set_meet(empty_set) = v0))
% 51.66/14.08  | (267)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (powerset(v1) = v2) |  ~ (element(v0, v2) = v3) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & in(v4, v1) = v5 & in(v4, v0) = 0))
% 51.66/14.08  | (268) relation(all_0_2_2) = 0
% 51.66/14.08  | (269)  ! [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)))
% 51.66/14.08  | (270)  ! [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)))
% 51.66/14.08  | (271)  ! [v0] :  ~ (singleton(v0) = empty_set)
% 51.66/14.08  | (272)  ! [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))))
% 51.66/14.08  | (273)  ! [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))))
% 51.66/14.08  | (274)  ? [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)))
% 51.66/14.08  | (275)  ~ (all_0_11_11 = 0)
% 51.66/14.08  | (276)  ! [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)))
% 51.66/14.08  | (277)  ! [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)))))
% 51.66/14.08  | (278)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (function(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2))
% 51.66/14.08  | (279)  ! [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))))
% 51.66/14.09  | (280)  ! [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)
% 51.66/14.09  | (281)  ! [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))))))))
% 51.66/14.09  | (282)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v2) |  ~ (element(v3, v2) = 0) |  ~ (element(v1, v2) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : (subset_complement(v0, v3) = v5 & disjoint(v1, v3) = v4 & subset(v1, v5) = v6 & ( ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | v6 = 0)))
% 51.66/14.09  | (283) function(all_0_4_4) = 0
% 51.66/14.09  | (284)  ! [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)))
% 51.66/14.09  | (285)  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : (in(v2, v1) = 0 &  ! [v3] : ( ~ (in(v3, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & in(v3, v2) = v4))))
% 51.66/14.09  | (286)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation(v2) = v1) |  ~ (relation(v2) = v0))
% 51.66/14.09  | (287)  ! [v0] : ( ~ (being_limit_ordinal(v0) = 0) | union(v0) = v0)
% 51.66/14.09  | (288)  ! [v0] :  ~ (in(v0, empty_set) = 0)
% 51.66/14.09  | (289)  ! [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))))))
% 51.66/14.09  | (290) one_to_one(all_0_5_5) = 0
% 51.66/14.09  | (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))))
% 51.66/14.09  | (292)  ! [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)))
% 51.66/14.09  | (293)  ! [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))))))))
% 51.66/14.09  | (294)  ! [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)))
% 51.66/14.09  | (295)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v0) = v1) |  ~ (in(v2, v1) = 0) |  ? [v3] : (in(v3, v0) = 0 & in(v2, v3) = 0))
% 51.66/14.09  | (296)  ! [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))))
% 51.66/14.09  | (297)  ! [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))
% 51.66/14.09  | (298)  ! [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))
% 51.66/14.09  | (299)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = 0 |  ~ (ordered_pair(v5, v6) = v3) |  ~ (cartesian_product2(v0, v1) = v2) |  ~ (in(v3, v2) = v4) |  ? [v7] :  ? [v8] : (in(v6, v1) = v8 & in(v5, v0) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0))))
% 51.66/14.09  | (300)  ! [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)))))))))
% 51.66/14.09  | (301)  ! [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))))
% 51.66/14.09  | (302)  ! [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))
% 51.66/14.09  | (303)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v2, v1) = v3) |  ~ (set_union2(v0, v1) = v2) | set_difference(v0, v1) = v3)
% 51.66/14.09  | (304)  ! [v0] : ( ~ (epsilon_connected(v0) = 0) |  ? [v1] :  ? [v2] : (ordinal(v0) = v2 & epsilon_transitive(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 51.66/14.09  | (305)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ (in(v0, v2) = v3))
% 51.66/14.09  | (306)  ! [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)))))
% 51.66/14.09  | (307)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (pair_second(v1) = v2) |  ~ (ordered_pair(v3, v4) = v1) |  ? [v5] :  ? [v6] : ( ~ (v6 = v0) & ordered_pair(v5, v6) = v1))
% 51.66/14.09  | (308)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] : (relation_inverse(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = v0)))
% 51.66/14.09  | (309)  ! [v0] :  ! [v1] : ( ~ (relation(v0) = 0) |  ~ (in(v1, v0) = 0) |  ? [v2] :  ? [v3] : ordered_pair(v2, v3) = v1)
% 51.66/14.09  | (310)  ? [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))))
% 51.66/14.10  | (311)  ! [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)))))
% 51.66/14.10  | (312)  ! [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)))
% 51.66/14.10  | (313)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_intersection2(v0, v0) = v1))
% 51.66/14.10  | (314) relation_empty_yielding(all_0_14_14) = 0
% 51.66/14.10  | (315)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (subset(v4, v5) = v6) |  ~ (cartesian_product2(v1, v3) = v5) |  ~ (cartesian_product2(v0, v2) = v4) |  ? [v7] :  ? [v8] : (subset(v2, v3) = v8 & subset(v0, v1) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0))))
% 51.66/14.10  | (316)  ! [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)))
% 51.66/14.10  | (317)  ! [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)))))
% 51.66/14.10  | (318)  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) | disjoint(v1, v0) = 0)
% 51.66/14.10  | (319)  ! [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)))))
% 51.66/14.10  | (320)  ! [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))
% 51.66/14.10  | (321)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (relation_dom_as_subset(v1, v0, v2) = v3) |  ? [v4] :  ? [v5] : ((v5 = 0 & in(v4, v1) = 0 &  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v4, v6) = v7) |  ~ (in(v7, v2) = 0))) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v1, v0) = v4)))
% 51.66/14.10  | (322)  ! [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)))
% 51.66/14.10  | (323)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (set_difference(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 51.66/14.10  | (324)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (disjoint(v0, v1) = 0) |  ~ (in(v2, v0) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v2, v1) = v3))
% 51.66/14.10  | (325)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2)
% 51.66/14.10  | (326)  ! [v0] :  ! [v1] : ( ~ (element(v0, v1) = 0) |  ? [v2] :  ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0)))
% 51.66/14.10  | (327)  ! [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))))
% 51.66/14.10  | (328)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v2) = v3) |  ~ (cartesian_product2(v1, v1) = v2) |  ~ (relation(v0) = 0) | relation_restriction(v0, v1) = v3)
% 51.66/14.10  | (329)  ! [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))))
% 51.66/14.10  | (330) relation_dom(empty_set) = empty_set
% 51.66/14.10  | (331)  ! [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)))
% 51.66/14.10  | (332) epsilon_connected(all_0_5_5) = 0
% 51.66/14.10  | (333)  ! [v0] : ( ~ (empty(v0) = 0) |  ? [v1] : (relation_dom(v0) = v1 & relation(v1) = 0 & empty(v1) = 0))
% 51.66/14.10  | (334)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, v0) = v1))
% 51.66/14.10  | (335)  ! [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)))
% 51.66/14.10  | (336)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v1) |  ~ (set_union2(v0, v1) = v2) | succ(v0) = v2)
% 51.66/14.10  | (337)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (ordinal(v1) = 0) |  ~ (ordinal(v0) = 0) |  ? [v2] :  ? [v3] : (in(v1, v0) = v3 & in(v0, v1) = v2 & (v3 = 0 | v2 = 0)))
% 51.66/14.10  | (338)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (relation_rng(v2) = v5 & relation_of2(v2, v0, v1) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 51.66/14.10  | (339)  ! [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))))
% 51.66/14.10  | (340)  ! [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)))
% 51.66/14.10  | (341)  ! [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))
% 51.66/14.10  | (342)  ! [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))))
% 51.66/14.10  | (343)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset(v3, v2) = v1) |  ~ (subset(v3, v2) = v0))
% 51.66/14.10  | (344)  ! [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)))
% 51.66/14.10  | (345)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset_complement(v3, v2) = v1) |  ~ (subset_complement(v3, v2) = v0))
% 51.66/14.10  | (346)  ! [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)))
% 51.66/14.10  | (347) empty(all_0_3_3) = 0
% 51.66/14.10  | (348)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (being_limit_ordinal(v2) = v1) |  ~ (being_limit_ordinal(v2) = v0))
% 51.66/14.10  | (349)  ! [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))))
% 51.66/14.10  | (350)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation(v1) = 0)
% 51.66/14.11  | (351)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] : ( ~ (v4 = empty_set) & complements_of_subsets(v0, v1) = v4))
% 51.66/14.11  | (352)  ! [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))))))
% 51.66/14.11  | (353)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (set_difference(v0, v1) = v2) |  ~ (subset(v2, v0) = v3))
% 51.66/14.11  | (354)  ! [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))
% 51.66/14.11  | (355)  ! [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))
% 51.66/14.11  | (356)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (relation_rng_as_subset(v0, v1, v2) = v3) |  ~ (powerset(v1) = v4) |  ~ (element(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation_of2(v2, v0, v1) = v6))
% 51.66/14.11  | (357)  ! [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)))
% 51.66/14.11  | (358)  ! [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))))
% 51.66/14.11  | (359)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (apply(v3, v2) = v1) |  ~ (apply(v3, v2) = v0))
% 51.66/14.11  | (360) ordinal(all_0_5_5) = 0
% 51.66/14.11  | (361)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_of2(v2, v0, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4))
% 51.66/14.11  | (362)  ! [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)))
% 51.66/14.11  | (363) epsilon_transitive(all_0_12_12) = 0
% 51.66/14.11  | (364)  ! [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))))
% 51.66/14.11  | (365)  ! [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))))
% 51.66/14.11  | (366)  ! [v0] : ( ~ (empty(v0) = 0) |  ? [v1] : (relation_rng(v0) = v1 & relation(v1) = 0 & empty(v1) = 0))
% 51.66/14.11  | (367)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 | v3 = v0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ (in(v3, v2) = 0))
% 51.66/14.11  | (368)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (singleton(v0) = v2) |  ~ (set_union2(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 51.66/14.11  | (369)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 51.66/14.11  | (370)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_inverse_image(v3, v2) = v1) |  ~ (relation_inverse_image(v3, v2) = v0))
% 51.66/14.11  | (371)  ! [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))))
% 51.66/14.11  | (372)  ! [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))))))
% 51.66/14.11  | (373)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ (in(v1, v2) = v3))
% 51.66/14.11  | (374)  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) |  ? [v2] : (set_intersection2(v0, v1) = v2 &  ! [v3] :  ~ (in(v3, v2) = 0)))
% 51.66/14.11  | (375)  ! [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)))
% 51.66/14.11  | (376)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ (subset(v2, v1) = 0) | in(v0, v1) = 0)
% 51.66/14.11  | (377)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (proper_subset(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 51.66/14.11  | (378)  ! [v0] :  ! [v1] : ( ~ (proper_subset(v1, v0) = 0) |  ? [v2] : ( ~ (v2 = 0) & subset(v0, v1) = v2))
% 51.66/14.11  | (379)  ! [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)))
% 51.66/14.11  | (380)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (subset(v3, v4) = v5) |  ~ (cartesian_product2(v1, v2) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (subset(v7, v8) = v9 & subset(v0, v1) = v6 & cartesian_product2(v2, v1) = v8 & cartesian_product2(v2, v0) = v7 & ( ~ (v6 = 0) | (v9 = 0 & v5 = 0))))
% 51.66/14.11  | (381)  ! [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))))
% 51.66/14.11  | (382)  ! [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))
% 51.66/14.11  | (383)  ! [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))))
% 51.66/14.11  | (384)  ! [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)))
% 51.66/14.11  | (385)  ! [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))))
% 51.66/14.11  | (386) relation_rng(empty_set) = empty_set
% 51.66/14.11  | (387)  ! [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)))))))))))))
% 51.66/14.12  | (388)  ! [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))
% 51.66/14.12  | (389)  ! [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))))
% 51.66/14.12  | (390)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (disjoint(v2, v1) = v3) |  ~ (singleton(v0) = v2) | in(v0, v1) = 0)
% 51.66/14.12  | (391)  ! [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)))
% 51.66/14.12  | (392) ordinal(all_0_1_1) = 0
% 51.66/14.12  | (393)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (inclusion_relation(v0) = v1) |  ~ (relation_field(v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ (in(v5, v1) = v6) |  ? [v7] :  ? [v8] :  ? [v9] : (( ~ (v7 = 0) & relation(v1) = v7) | (subset(v3, v4) = v9 & in(v4, v0) = v8 & in(v3, v0) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0))))))
% 51.66/14.12  | (394)  ! [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))))
% 51.66/14.12  | (395)  ? [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)))))))))
% 51.66/14.12  | (396)  ~ (all_0_8_8 = 0)
% 51.66/14.12  | (397) relation(empty_set) = 0
% 51.66/14.12  | (398)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_dom_restriction(v1, v0) = v2) |  ~ (subset(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4))
% 51.66/14.12  | (399)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_rng_as_subset(v4, v3, v2) = v1) |  ~ (relation_rng_as_subset(v4, v3, v2) = v0))
% 51.66/14.12  | (400)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ~ (element(v0, v2) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5))
% 51.66/14.12  | (401)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 51.66/14.12  | (402)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 51.66/14.12  | (403)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (ordinal_subset(v0, v0) = v2) |  ~ (ordinal(v1) = 0) |  ? [v3] : ( ~ (v3 = 0) & ordinal(v0) = v3))
% 51.66/14.12  | (404)  ! [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))))
% 51.66/14.12  | (405)  ! [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))))
% 51.66/14.12  | (406) empty(all_0_7_7) = all_0_6_6
% 51.66/14.12  | (407)  ! [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)))))
% 51.66/14.12  | (408)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (element(v2, v1) = 0 & empty(v2) = 0))
% 51.66/14.12  | (409)  ~ (all_0_6_6 = 0)
% 51.66/14.12  | (410)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v1, v0) = v2) |  ? [v3] :  ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0)))
% 51.66/14.12  | (411)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (epsilon_connected(v2) = v1) |  ~ (epsilon_connected(v2) = v0))
% 51.66/14.12  | (412)  ~ (all_0_15_15 = 0)
% 51.66/14.12  | (413)  ! [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))))
% 51.66/14.12  | (414)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (cast_to_subset(v0) = v1) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v2) = v3))
% 51.66/14.12  | (415)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_connected_in(v3, v2) = v1) |  ~ (is_connected_in(v3, v2) = v0))
% 51.66/14.12  | (416)  ! [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)))
% 51.66/14.12  | (417)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (in(v4, v1) = 0))
% 51.66/14.12  | (418)  ! [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)))
% 51.66/14.12  | (419)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_of2(v2, v0, v1) = 0) | relation_of2_as_subset(v2, v0, v1) = 0)
% 51.66/14.12  | (420)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | function(v1) = 0)
% 51.66/14.12  | (421)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_well_founded_in(v3, v2) = v1) |  ~ (is_well_founded_in(v3, v2) = v0))
% 51.66/14.12  | (422)  ! [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))
% 51.66/14.12  | (423)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3))
% 51.66/14.12  | (424)  ? [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))))
% 51.66/14.13  | (425)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (reflexive(v2) = v1) |  ~ (reflexive(v2) = v0))
% 51.66/14.13  | (426)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 51.66/14.13  | (427)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (element(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 51.66/14.13  | (428)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] : (union_of_subsets(v0, v1) = v4 & union(v1) = v4))
% 51.66/14.13  | (429)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (unordered_pair(v3, v2) = v1) |  ~ (unordered_pair(v3, v2) = v0))
% 51.66/14.13  | (430)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation(v2) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 51.66/14.13  | (431)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (relation(v0) = v1) |  ? [v2] : (in(v2, v0) = 0 &  ! [v3] :  ! [v4] :  ~ (ordered_pair(v3, v4) = v2)))
% 51.66/14.13  | (432)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (singleton(v0) = v3) |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4)
% 51.66/14.13  | (433)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v1) = v3) |  ~ (singleton(v0) = v2) |  ~ (subset(v2, v3) = 0))
% 51.66/14.13  | (434)  ! [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)))
% 51.66/14.13  | (435)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (complements_of_subsets(v0, v1) = v4) |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v4, v3) = v5) |  ? [v6] : ( ~ (v6 = 0) & element(v1, v3) = v6))
% 51.66/14.13  | (436)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (inclusion_relation(v2) = v1) |  ~ (inclusion_relation(v2) = v0))
% 51.66/14.13  | (437)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_image(v3, v2) = v1) |  ~ (relation_image(v3, v2) = v0))
% 51.66/14.13  | (438) one_to_one(empty_set) = 0
% 51.66/14.13  | (439)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (empty(v1) = 0) |  ~ (empty(v0) = 0))
% 51.66/14.13  | (440)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (unordered_triple(v4, v3, v2) = v1) |  ~ (unordered_triple(v4, v3, v2) = v0))
% 51.66/14.13  | (441)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 51.66/14.13  | (442)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v0 = empty_set |  ~ (singleton(v1) = v2) |  ~ (subset(v0, v2) = 0))
% 51.66/14.13  | (443)  ? [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))))
% 51.66/14.13  | (444)  ! [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))))
% 51.66/14.13  | (445)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (union_of_subsets(v0, v1) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v3, v2) = v4) |  ? [v5] :  ? [v6] : ( ~ (v6 = 0) & powerset(v2) = v5 & element(v1, v5) = v6))
% 51.66/14.13  | (446)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (subset_difference(v4, v3, v2) = v1) |  ~ (subset_difference(v4, v3, v2) = v0))
% 51.66/14.13  | (447)  ! [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))))
% 51.66/14.13  | (448)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4))
% 51.66/14.13  | (449)  ! [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)))
% 51.66/14.13  | (450)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (succ(v2) = v1) |  ~ (succ(v2) = v0))
% 51.66/14.13  | (451)  ! [v0] :  ! [v1] :  ! [v2] : (v0 = empty_set |  ~ (powerset(v0) = v1) |  ~ (element(v2, v1) = 0) |  ? [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)))))
% 51.66/14.13  | (452)  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_intersection2(v0, v1) = empty_set)
% 51.66/14.13  | (453) one_to_one(all_0_10_10) = 0
% 51.66/14.13  | (454)  ! [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)))
% 51.66/14.13  | (455)  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 51.66/14.13  | (456)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (ordinal(v1) = 0) |  ~ (ordinal(v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 51.66/14.13  | (457)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 51.66/14.13  | (458)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_isomorphism(v4, v3, v2) = v1) |  ~ (relation_isomorphism(v4, v3, v2) = v0))
% 51.66/14.13  | (459)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v2 = v1 |  ~ (pair_first(v0) = v1) |  ~ (ordered_pair(v4, v5) = v0) |  ~ (ordered_pair(v2, v3) = v0))
% 51.66/14.13  | (460)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [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)))))
% 51.66/14.13  | (461)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (in(v1, v2) = 0) |  ? [v4] :  ? [v5] : ( ~ (v5 = 0) & subset_complement(v0, v2) = v4 & in(v1, v4) = v5))
% 51.66/14.13  | (462)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (subset_difference(v0, v1, v2) = v4) |  ~ (powerset(v0) = v3) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] : (element(v2, v3) = v7 & element(v1, v3) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0))))
% 51.66/14.13  | (463) epsilon_connected(all_0_1_1) = 0
% 51.66/14.13  | (464)  ? [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))))
% 52.05/14.14  | (465)  ? [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)))
% 52.05/14.14  | (466)  ! [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))))
% 52.05/14.14  | (467)  ! [v0] :  ! [v1] : ( ~ (well_founded_relation(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (reflexive(v0) = v3 & transitive(v0) = v4 & connected(v0) = v5 & antisymmetric(v0) = v6 & relation(v0) = v2 & ( ~ (v2 = 0) |  ! [v7] :  ! [v8] : ( ~ (well_founded_relation(v7) = v8) |  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : (reflexive(v7) = v10 & transitive(v7) = v11 & connected(v7) = v12 & antisymmetric(v7) = v13 & relation(v7) = v9 & ( ~ (v9 = 0) | ( ! [v14] : ( ~ (v6 = 0) | v13 = 0 |  ~ (relation_isomorphism(v0, v7, v14) = 0) |  ? [v15] :  ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) |  ~ (v15 = 0)))) &  ! [v14] : ( ~ (v5 = 0) | v12 = 0 |  ~ (relation_isomorphism(v0, v7, v14) = 0) |  ? [v15] :  ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) |  ~ (v15 = 0)))) &  ! [v14] : ( ~ (v4 = 0) | v11 = 0 |  ~ (relation_isomorphism(v0, v7, v14) = 0) |  ? [v15] :  ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) |  ~ (v15 = 0)))) &  ! [v14] : ( ~ (v3 = 0) | v10 = 0 |  ~ (relation_isomorphism(v0, v7, v14) = 0) |  ? [v15] :  ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) |  ~ (v15 = 0)))) &  ! [v14] : ( ~ (v1 = 0) | v8 = 0 |  ~ (relation_isomorphism(v0, v7, v14) = 0) |  ? [v15] :  ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) |  ~ (v15 = 0)))))))))))
% 52.05/14.14  | (468)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3))
% 52.05/14.14  | (469)  ! [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)))
% 52.05/14.14  | (470)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_dom_restriction(v3, v2) = v1) |  ~ (relation_dom_restriction(v3, v2) = v0))
% 52.05/14.14  | (471)  ! [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)))
% 52.05/14.14  | (472)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (union(v1) = v2) |  ~ (subset(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 52.05/14.14  | (473)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v1, v3) = v4))
% 52.05/14.14  | (474)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v0, v2) = v3) |  ~ (singleton(v1) = v2) | in(v1, v0) = 0)
% 52.05/14.14  | (475)  ! [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))
% 52.05/14.14  | (476)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (inclusion_relation(v0) = v2) |  ~ (relation_field(v1) = v0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v6 = 0 & v5 = 0 & subset(v3, v4) = v9 & ordered_pair(v3, v4) = v7 & in(v7, v1) = v8 & in(v4, v0) = 0 & in(v3, v0) = 0 & ( ~ (v9 = 0) |  ~ (v8 = 0)) & (v9 = 0 | v8 = 0)) | ( ~ (v3 = 0) & relation(v1) = v3)))
% 52.05/14.14  | (477)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (empty(v2) = v1) |  ~ (empty(v2) = v0))
% 52.05/14.14  | (478)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (cartesian_product2(v0, v1) = v3) |  ~ (powerset(v3) = v4) |  ~ (element(v2, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & relation_of2_as_subset(v2, v0, v1) = v6))
% 52.05/14.14  | (479) function(all_0_14_14) = 0
% 52.05/14.14  | (480)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (union(v2) = v1) |  ~ (union(v2) = v0))
% 52.05/14.14  | (481)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ordinal_subset(v3, v2) = v1) |  ~ (ordinal_subset(v3, v2) = v0))
% 52.05/14.14  | (482)  ! [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))
% 52.05/14.14  | (483)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (singleton(v0) = v2) |  ~ (subset(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 52.05/14.14  | (484)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] : (complements_of_subsets(v0, v4) = v1 & complements_of_subsets(v0, v1) = v4))
% 52.05/14.14  | (485)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (transitive(v2) = v1) |  ~ (transitive(v2) = v0))
% 52.05/14.14  | (486)  ? [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))))
% 52.05/14.14  | (487)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_rng(v1) = v0)
% 52.05/14.14  | (488)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (subset(v1, v0) = v2) |  ~ (epsilon_transitive(v0) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3))
% 52.05/14.14  | (489)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (meet_of_subsets(v3, v2) = v1) |  ~ (meet_of_subsets(v3, v2) = v0))
% 52.05/14.14  | (490)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = v0) & set_difference(v0, v1) = v3))
% 52.05/14.14  | (491)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_isomorphism(v0, v2, v4) = v5) |  ~ (relation_field(v2) = v3) |  ~ (relation_field(v0) = v1) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] : (( ~ (v6 = 0) & relation(v2) = v6) | ( ~ (v6 = 0) & relation(v0) = v6) | (relation_rng(v4) = v9 & relation_dom(v4) = v8 & one_to_one(v4) = v10 & relation(v4) = v6 & function(v4) = v7 & ( ~ (v7 = 0) |  ~ (v6 = 0) | (( ~ (v10 = 0) |  ~ (v9 = v3) |  ~ (v8 = v1) | v5 = 0 | (apply(v4, v12) = v18 & apply(v4, v11) = v17 & ordered_pair(v17, v18) = v19 & ordered_pair(v11, v12) = v13 & in(v19, v2) = v20 & in(v13, v0) = v14 & in(v12, v1) = v16 & in(v11, v1) = v15 & ( ~ (v20 = 0) |  ~ (v16 = 0) |  ~ (v15 = 0) |  ~ (v14 = 0)) & (v14 = 0 | (v20 = 0 & v16 = 0 & v15 = 0)))) & ( ~ (v5 = 0) | (v10 = 0 & v9 = v3 & v8 = v1 &  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : ( ~ (apply(v4, v22) = v24) |  ~ (apply(v4, v21) = v23) |  ~ (ordered_pair(v23, v24) = v25) |  ~ (in(v25, v2) = v26) |  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] : (ordered_pair(v21, v22) = v27 & in(v27, v0) = v28 & in(v22, v1) = v30 & in(v21, v1) = v29 & ( ~ (v28 = 0) | (v30 = 0 & v29 = 0 & v26 = 0)))) &  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : ( ~ (apply(v4, v22) = v24) |  ~ (apply(v4, v21) = v23) |  ~ (ordered_pair(v23, v24) = v25) |  ~ (in(v25, v2) = 0) |  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : (ordered_pair(v21, v22) = v28 & in(v28, v0) = v29 & in(v22, v1) = v27 & in(v21, v1) = v26 & ( ~ (v27 = 0) |  ~ (v26 = 0) | v29 = 0))))))))))
% 52.05/14.14  | (492)  ! [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))))
% 52.05/14.15  | (493)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v0, v2) = v3) |  ~ (subset(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & subset(v1, v2) = v4))
% 52.05/14.15  | (494)  ! [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)))
% 52.05/14.15  | (495)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | relation(v1) = 0)
% 52.05/14.15  | (496) singleton(empty_set) = all_0_18_18
% 52.05/14.15  | (497)  ! [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)
% 52.05/14.15  | (498)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (subset(empty_set, v0) = v1))
% 52.05/14.15  | (499)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_empty_yielding(v2) = v1) |  ~ (relation_empty_yielding(v2) = v0))
% 52.05/14.15  | (500)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (function_inverse(v2) = v3) |  ~ (relation_isomorphism(v1, v0, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (relation(v0) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_isomorphism(v0, v1, v2) = v7 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0))))
% 52.05/14.15  | (501)  ! [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))))))
% 52.05/14.15  | (502)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (meet_of_subsets(v0, v1) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v3, v2) = v4) |  ? [v5] :  ? [v6] : ( ~ (v6 = 0) & powerset(v2) = v5 & element(v1, v5) = v6))
% 52.05/14.15  | (503)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_union2(v3, v2) = v1) |  ~ (set_union2(v3, v2) = v0))
% 52.05/14.15  | (504)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (inclusion_relation(v0) = v1) |  ~ (relation_field(v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & relation(v1) = v3))
% 52.05/14.15  | (505)  ! [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))
% 52.05/14.15  | (506)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (disjoint(v2, v1) = 0) |  ~ (singleton(v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 52.05/14.15  |
% 52.05/14.15  | Instantiating formula (3) with all_0_15_15, all_0_16_16 and discharging atoms reflexive(all_0_16_16) = all_0_15_15, yields:
% 52.05/14.15  | (507)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (relation_field(all_0_16_16) = v1 & relation(all_0_16_16) = v0 & ( ~ (v0 = 0) | (( ~ (all_0_15_15 = 0) |  ! [v6] : ( ~ (in(v6, v1) = 0) |  ? [v7] : (ordered_pair(v6, v6) = v7 & in(v7, all_0_16_16) = 0))) & (all_0_15_15 = 0 | (v3 = 0 &  ~ (v5 = 0) & ordered_pair(v2, v2) = v4 & in(v4, all_0_16_16) = v5 & in(v2, v1) = 0)))))
% 52.05/14.15  |
% 52.05/14.15  | Instantiating formula (495) with all_0_16_16, all_0_17_17 and discharging atoms inclusion_relation(all_0_17_17) = all_0_16_16, yields:
% 52.05/14.15  | (508) relation(all_0_16_16) = 0
% 52.05/14.15  |
% 52.05/14.15  | Instantiating (507) with all_134_0_114, all_134_1_115, all_134_2_116, all_134_3_117, all_134_4_118, all_134_5_119 yields:
% 52.05/14.15  | (509) relation_field(all_0_16_16) = all_134_4_118 & relation(all_0_16_16) = all_134_5_119 & ( ~ (all_134_5_119 = 0) | (( ~ (all_0_15_15 = 0) |  ! [v0] : ( ~ (in(v0, all_134_4_118) = 0) |  ? [v1] : (ordered_pair(v0, v0) = v1 & in(v1, all_0_16_16) = 0))) & (all_0_15_15 = 0 | (all_134_2_116 = 0 &  ~ (all_134_0_114 = 0) & ordered_pair(all_134_3_117, all_134_3_117) = all_134_1_115 & in(all_134_1_115, all_0_16_16) = all_134_0_114 & in(all_134_3_117, all_134_4_118) = 0))))
% 52.05/14.15  |
% 52.05/14.15  | Applying alpha-rule on (509) yields:
% 52.05/14.15  | (510) relation_field(all_0_16_16) = all_134_4_118
% 52.05/14.15  | (511) relation(all_0_16_16) = all_134_5_119
% 52.05/14.15  | (512)  ~ (all_134_5_119 = 0) | (( ~ (all_0_15_15 = 0) |  ! [v0] : ( ~ (in(v0, all_134_4_118) = 0) |  ? [v1] : (ordered_pair(v0, v0) = v1 & in(v1, all_0_16_16) = 0))) & (all_0_15_15 = 0 | (all_134_2_116 = 0 &  ~ (all_134_0_114 = 0) & ordered_pair(all_134_3_117, all_134_3_117) = all_134_1_115 & in(all_134_1_115, all_0_16_16) = all_134_0_114 & in(all_134_3_117, all_134_4_118) = 0)))
% 52.05/14.15  |
% 52.05/14.15  | Instantiating formula (286) with all_0_16_16, all_134_5_119, 0 and discharging atoms relation(all_0_16_16) = all_134_5_119, relation(all_0_16_16) = 0, yields:
% 52.05/14.15  | (513) all_134_5_119 = 0
% 52.05/14.15  |
% 52.05/14.15  | From (513) and (511) follows:
% 52.05/14.15  | (508) relation(all_0_16_16) = 0
% 52.05/14.15  |
% 52.05/14.15  +-Applying beta-rule and splitting (512), into two cases.
% 52.05/14.15  |-Branch one:
% 52.05/14.15  | (515)  ~ (all_134_5_119 = 0)
% 52.05/14.15  |
% 52.05/14.15  	| Equations (513) can reduce 515 to:
% 52.05/14.15  	| (516) $false
% 52.05/14.15  	|
% 52.05/14.15  	|-The branch is then unsatisfiable
% 52.05/14.15  |-Branch two:
% 52.05/14.15  | (513) all_134_5_119 = 0
% 52.05/14.15  | (518) ( ~ (all_0_15_15 = 0) |  ! [v0] : ( ~ (in(v0, all_134_4_118) = 0) |  ? [v1] : (ordered_pair(v0, v0) = v1 & in(v1, all_0_16_16) = 0))) & (all_0_15_15 = 0 | (all_134_2_116 = 0 &  ~ (all_134_0_114 = 0) & ordered_pair(all_134_3_117, all_134_3_117) = all_134_1_115 & in(all_134_1_115, all_0_16_16) = all_134_0_114 & in(all_134_3_117, all_134_4_118) = 0))
% 52.05/14.15  |
% 52.05/14.15  	| Applying alpha-rule on (518) yields:
% 52.05/14.15  	| (519)  ~ (all_0_15_15 = 0) |  ! [v0] : ( ~ (in(v0, all_134_4_118) = 0) |  ? [v1] : (ordered_pair(v0, v0) = v1 & in(v1, all_0_16_16) = 0))
% 52.05/14.16  	| (520) all_0_15_15 = 0 | (all_134_2_116 = 0 &  ~ (all_134_0_114 = 0) & ordered_pair(all_134_3_117, all_134_3_117) = all_134_1_115 & in(all_134_1_115, all_0_16_16) = all_134_0_114 & in(all_134_3_117, all_134_4_118) = 0)
% 52.05/14.16  	|
% 52.05/14.16  	+-Applying beta-rule and splitting (520), into two cases.
% 52.05/14.16  	|-Branch one:
% 52.05/14.16  	| (521) all_0_15_15 = 0
% 52.05/14.16  	|
% 52.05/14.16  		| Equations (521) can reduce 412 to:
% 52.05/14.16  		| (516) $false
% 52.05/14.16  		|
% 52.05/14.16  		|-The branch is then unsatisfiable
% 52.05/14.16  	|-Branch two:
% 52.05/14.16  	| (412)  ~ (all_0_15_15 = 0)
% 52.05/14.16  	| (524) all_134_2_116 = 0 &  ~ (all_134_0_114 = 0) & ordered_pair(all_134_3_117, all_134_3_117) = all_134_1_115 & in(all_134_1_115, all_0_16_16) = all_134_0_114 & in(all_134_3_117, all_134_4_118) = 0
% 52.05/14.16  	|
% 52.05/14.16  		| Applying alpha-rule on (524) yields:
% 52.05/14.16  		| (525) in(all_134_1_115, all_0_16_16) = all_134_0_114
% 52.05/14.16  		| (526)  ~ (all_134_0_114 = 0)
% 52.05/14.16  		| (527) in(all_134_3_117, all_134_4_118) = 0
% 52.05/14.16  		| (528) all_134_2_116 = 0
% 52.05/14.16  		| (529) ordered_pair(all_134_3_117, all_134_3_117) = all_134_1_115
% 52.05/14.16  		|
% 52.05/14.16  		| Instantiating formula (504) with all_134_4_118, all_0_16_16, all_0_17_17 and discharging atoms inclusion_relation(all_0_17_17) = all_0_16_16, relation_field(all_0_16_16) = all_134_4_118, yields:
% 52.05/14.16  		| (530) all_134_4_118 = all_0_17_17 |  ? [v0] : ( ~ (v0 = 0) & relation(all_0_16_16) = v0)
% 52.05/14.16  		|
% 52.05/14.16  		| Instantiating formula (30) with all_134_0_114, all_134_1_115, all_0_16_16, all_134_3_117, all_134_3_117 and discharging atoms ordered_pair(all_134_3_117, all_134_3_117) = all_134_1_115, in(all_134_1_115, all_0_16_16) = all_134_0_114, yields:
% 52.05/14.16  		| (531)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (relation_dom(all_0_16_16) = v2 & apply(all_0_16_16, all_134_3_117) = v4 & relation(all_0_16_16) = v0 & function(all_0_16_16) = v1 & in(all_134_3_117, v2) = v3 & ( ~ (v1 = 0) |  ~ (v0 = 0) | (( ~ (v4 = all_134_3_117) |  ~ (v3 = 0) | all_134_0_114 = 0) & ( ~ (all_134_0_114 = 0) | (v4 = all_134_3_117 & v3 = 0)))))
% 52.05/14.16  		|
% 52.05/14.16  		| Instantiating formula (393) with all_134_0_114, all_134_1_115, all_134_3_117, all_134_3_117, all_134_4_118, all_0_16_16, all_0_17_17 and discharging atoms inclusion_relation(all_0_17_17) = all_0_16_16, relation_field(all_0_16_16) = all_134_4_118, ordered_pair(all_134_3_117, all_134_3_117) = all_134_1_115, in(all_134_1_115, all_0_16_16) = all_134_0_114, yields:
% 52.05/14.16  		| (532)  ? [v0] :  ? [v1] :  ? [v2] : (( ~ (v0 = 0) & relation(all_0_16_16) = v0) | (subset(all_134_3_117, all_134_3_117) = v2 & in(all_134_3_117, all_0_17_17) = v1 & in(all_134_3_117, all_0_17_17) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | (( ~ (v2 = 0) | all_134_0_114 = 0) & ( ~ (all_134_0_114 = 0) | v2 = 0)))))
% 52.05/14.16  		|
% 52.05/14.16  		| Instantiating (532) with all_396_0_203, all_396_1_204, all_396_2_205 yields:
% 52.05/14.16  		| (533) ( ~ (all_396_2_205 = 0) & relation(all_0_16_16) = all_396_2_205) | (subset(all_134_3_117, all_134_3_117) = all_396_0_203 & in(all_134_3_117, all_0_17_17) = all_396_1_204 & in(all_134_3_117, all_0_17_17) = all_396_2_205 & ( ~ (all_396_1_204 = 0) |  ~ (all_396_2_205 = 0) | (( ~ (all_396_0_203 = 0) | all_134_0_114 = 0) & ( ~ (all_134_0_114 = 0) | all_396_0_203 = 0))))
% 52.05/14.16  		|
% 52.05/14.16  		| Instantiating (531) with all_428_0_221, all_428_1_222, all_428_2_223, all_428_3_224, all_428_4_225 yields:
% 52.05/14.16  		| (534) relation_dom(all_0_16_16) = all_428_2_223 & apply(all_0_16_16, all_134_3_117) = all_428_0_221 & relation(all_0_16_16) = all_428_4_225 & function(all_0_16_16) = all_428_3_224 & in(all_134_3_117, all_428_2_223) = all_428_1_222 & ( ~ (all_428_3_224 = 0) |  ~ (all_428_4_225 = 0) | (( ~ (all_428_0_221 = all_134_3_117) |  ~ (all_428_1_222 = 0) | all_134_0_114 = 0) & ( ~ (all_134_0_114 = 0) | (all_428_0_221 = all_134_3_117 & all_428_1_222 = 0))))
% 52.05/14.16  		|
% 52.05/14.16  		| Applying alpha-rule on (534) yields:
% 52.05/14.16  		| (535) relation(all_0_16_16) = all_428_4_225
% 52.05/14.16  		| (536) function(all_0_16_16) = all_428_3_224
% 52.05/14.16  		| (537) apply(all_0_16_16, all_134_3_117) = all_428_0_221
% 52.05/14.16  		| (538) in(all_134_3_117, all_428_2_223) = all_428_1_222
% 52.05/14.16  		| (539)  ~ (all_428_3_224 = 0) |  ~ (all_428_4_225 = 0) | (( ~ (all_428_0_221 = all_134_3_117) |  ~ (all_428_1_222 = 0) | all_134_0_114 = 0) & ( ~ (all_134_0_114 = 0) | (all_428_0_221 = all_134_3_117 & all_428_1_222 = 0)))
% 52.05/14.16  		| (540) relation_dom(all_0_16_16) = all_428_2_223
% 52.05/14.16  		|
% 52.05/14.16  		| Instantiating formula (286) with all_0_16_16, all_428_4_225, 0 and discharging atoms relation(all_0_16_16) = all_428_4_225, relation(all_0_16_16) = 0, yields:
% 52.05/14.16  		| (541) all_428_4_225 = 0
% 52.05/14.16  		|
% 52.05/14.16  		| From (541) and (535) follows:
% 52.05/14.16  		| (508) relation(all_0_16_16) = 0
% 52.05/14.16  		|
% 52.05/14.16  		+-Applying beta-rule and splitting (530), into two cases.
% 52.05/14.16  		|-Branch one:
% 52.05/14.16  		| (543) all_134_4_118 = all_0_17_17
% 52.05/14.16  		|
% 52.05/14.16  			| From (543) and (527) follows:
% 52.05/14.16  			| (544) in(all_134_3_117, all_0_17_17) = 0
% 52.05/14.16  			|
% 52.05/14.16  			+-Applying beta-rule and splitting (533), into two cases.
% 52.05/14.16  			|-Branch one:
% 52.05/14.16  			| (545)  ~ (all_396_2_205 = 0) & relation(all_0_16_16) = all_396_2_205
% 52.05/14.16  			|
% 52.05/14.16  				| Applying alpha-rule on (545) yields:
% 52.05/14.16  				| (546)  ~ (all_396_2_205 = 0)
% 52.05/14.16  				| (547) relation(all_0_16_16) = all_396_2_205
% 52.05/14.16  				|
% 52.05/14.16  				| Instantiating formula (286) with all_0_16_16, all_396_2_205, 0 and discharging atoms relation(all_0_16_16) = all_396_2_205, relation(all_0_16_16) = 0, yields:
% 52.05/14.16  				| (548) all_396_2_205 = 0
% 52.05/14.16  				|
% 52.05/14.16  				| Equations (548) can reduce 546 to:
% 52.05/14.16  				| (516) $false
% 52.05/14.16  				|
% 52.05/14.16  				|-The branch is then unsatisfiable
% 52.05/14.16  			|-Branch two:
% 52.05/14.16  			| (550) subset(all_134_3_117, all_134_3_117) = all_396_0_203 & in(all_134_3_117, all_0_17_17) = all_396_1_204 & in(all_134_3_117, all_0_17_17) = all_396_2_205 & ( ~ (all_396_1_204 = 0) |  ~ (all_396_2_205 = 0) | (( ~ (all_396_0_203 = 0) | all_134_0_114 = 0) & ( ~ (all_134_0_114 = 0) | all_396_0_203 = 0)))
% 52.05/14.16  			|
% 52.05/14.16  				| Applying alpha-rule on (550) yields:
% 52.05/14.16  				| (551) subset(all_134_3_117, all_134_3_117) = all_396_0_203
% 52.05/14.16  				| (552) in(all_134_3_117, all_0_17_17) = all_396_1_204
% 52.05/14.16  				| (553) in(all_134_3_117, all_0_17_17) = all_396_2_205
% 52.05/14.16  				| (554)  ~ (all_396_1_204 = 0) |  ~ (all_396_2_205 = 0) | (( ~ (all_396_0_203 = 0) | all_134_0_114 = 0) & ( ~ (all_134_0_114 = 0) | all_396_0_203 = 0))
% 52.05/14.16  				|
% 52.05/14.16  				| Instantiating formula (161) with all_396_0_203, all_134_3_117 and discharging atoms subset(all_134_3_117, all_134_3_117) = all_396_0_203, yields:
% 52.05/14.16  				| (555) all_396_0_203 = 0
% 52.05/14.16  				|
% 52.05/14.16  				| Instantiating formula (188) with all_134_3_117, all_0_17_17, all_396_1_204, 0 and discharging atoms in(all_134_3_117, all_0_17_17) = all_396_1_204, in(all_134_3_117, all_0_17_17) = 0, yields:
% 52.05/14.16  				| (556) all_396_1_204 = 0
% 52.05/14.16  				|
% 52.05/14.16  				| Instantiating formula (188) with all_134_3_117, all_0_17_17, all_396_2_205, all_396_1_204 and discharging atoms in(all_134_3_117, all_0_17_17) = all_396_1_204, in(all_134_3_117, all_0_17_17) = all_396_2_205, yields:
% 52.05/14.16  				| (557) all_396_1_204 = all_396_2_205
% 52.05/14.16  				|
% 52.05/14.16  				| Combining equations (556,557) yields a new equation:
% 52.05/14.16  				| (548) all_396_2_205 = 0
% 52.05/14.16  				|
% 52.05/14.16  				| Combining equations (548,557) yields a new equation:
% 52.05/14.16  				| (556) all_396_1_204 = 0
% 52.05/14.16  				|
% 52.05/14.16  				+-Applying beta-rule and splitting (554), into two cases.
% 52.05/14.16  				|-Branch one:
% 52.05/14.16  				| (560)  ~ (all_396_1_204 = 0)
% 52.05/14.16  				|
% 52.05/14.16  					| Equations (556) can reduce 560 to:
% 52.05/14.16  					| (516) $false
% 52.05/14.16  					|
% 52.05/14.16  					|-The branch is then unsatisfiable
% 52.05/14.16  				|-Branch two:
% 52.05/14.16  				| (556) all_396_1_204 = 0
% 52.05/14.16  				| (563)  ~ (all_396_2_205 = 0) | (( ~ (all_396_0_203 = 0) | all_134_0_114 = 0) & ( ~ (all_134_0_114 = 0) | all_396_0_203 = 0))
% 52.05/14.16  				|
% 52.05/14.16  					+-Applying beta-rule and splitting (563), into two cases.
% 52.05/14.16  					|-Branch one:
% 52.05/14.16  					| (546)  ~ (all_396_2_205 = 0)
% 52.05/14.16  					|
% 52.05/14.16  						| Equations (548) can reduce 546 to:
% 52.05/14.16  						| (516) $false
% 52.05/14.16  						|
% 52.05/14.16  						|-The branch is then unsatisfiable
% 52.05/14.16  					|-Branch two:
% 52.05/14.16  					| (548) all_396_2_205 = 0
% 52.05/14.16  					| (567) ( ~ (all_396_0_203 = 0) | all_134_0_114 = 0) & ( ~ (all_134_0_114 = 0) | all_396_0_203 = 0)
% 52.05/14.16  					|
% 52.05/14.16  						| Applying alpha-rule on (567) yields:
% 52.05/14.16  						| (568)  ~ (all_396_0_203 = 0) | all_134_0_114 = 0
% 52.05/14.16  						| (569)  ~ (all_134_0_114 = 0) | all_396_0_203 = 0
% 52.05/14.16  						|
% 52.05/14.16  						+-Applying beta-rule and splitting (568), into two cases.
% 52.05/14.16  						|-Branch one:
% 52.05/14.16  						| (570)  ~ (all_396_0_203 = 0)
% 52.05/14.16  						|
% 52.05/14.16  							| Equations (555) can reduce 570 to:
% 52.05/14.16  							| (516) $false
% 52.05/14.16  							|
% 52.05/14.16  							|-The branch is then unsatisfiable
% 52.05/14.16  						|-Branch two:
% 52.05/14.16  						| (555) all_396_0_203 = 0
% 52.05/14.16  						| (573) all_134_0_114 = 0
% 52.05/14.16  						|
% 52.05/14.16  							| Equations (573) can reduce 526 to:
% 52.05/14.16  							| (516) $false
% 52.05/14.16  							|
% 52.05/14.16  							|-The branch is then unsatisfiable
% 52.05/14.16  		|-Branch two:
% 52.05/14.16  		| (575)  ~ (all_134_4_118 = all_0_17_17)
% 52.05/14.16  		| (576)  ? [v0] : ( ~ (v0 = 0) & relation(all_0_16_16) = v0)
% 52.05/14.16  		|
% 52.05/14.16  			| Instantiating (576) with all_734_0_395 yields:
% 52.05/14.16  			| (577)  ~ (all_734_0_395 = 0) & relation(all_0_16_16) = all_734_0_395
% 52.05/14.17  			|
% 52.05/14.17  			| Applying alpha-rule on (577) yields:
% 52.05/14.17  			| (578)  ~ (all_734_0_395 = 0)
% 52.05/14.17  			| (579) relation(all_0_16_16) = all_734_0_395
% 52.05/14.17  			|
% 52.05/14.17  			| Instantiating formula (286) with all_0_16_16, all_734_0_395, 0 and discharging atoms relation(all_0_16_16) = all_734_0_395, relation(all_0_16_16) = 0, yields:
% 52.05/14.17  			| (580) all_734_0_395 = 0
% 52.05/14.17  			|
% 52.05/14.17  			| Equations (580) can reduce 578 to:
% 52.05/14.17  			| (516) $false
% 52.05/14.17  			|
% 52.05/14.17  			|-The branch is then unsatisfiable
% 52.05/14.17  % SZS output end Proof for theBenchmark
% 52.05/14.17  
% 52.05/14.17  13625ms
%------------------------------------------------------------------------------