%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SEU341+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n007.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 08:49:01 EDT 2022

% Result   : Theorem 111.73s 63.97s
% Output   : Proof 183.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU341+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun 19 23:57:14 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.63/0.62          ____       _                          
% 0.63/0.62    ___  / __ \_____(_)___  ________  __________
% 0.63/0.62   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.63/0.62  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.63/0.62  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.63/0.62  
% 0.63/0.62  A Theorem Prover for First-Order Logic
% 0.63/0.62  (ePrincess v.1.0)
% 0.63/0.62  
% 0.63/0.62  (c) Philipp Rümmer, 2009-2015
% 0.63/0.62  (c) Peter Backeman, 2014-2015
% 0.63/0.62  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.63/0.62  Free software under GNU Lesser General Public License (LGPL).
% 0.63/0.62  Bug reports to peter@backeman.se
% 0.63/0.62  
% 0.63/0.62  For more information, visit http://user.uu.se/~petba168/breu/
% 0.63/0.62  
% 0.63/0.62  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.67/0.70  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 4.38/1.62  Prover 0: Preprocessing ...
% 11.45/3.21  Prover 0: Warning: ignoring some quantifiers
% 11.55/3.28  Prover 0: Constructing countermodel ...
% 23.07/5.98  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 24.59/6.39  Prover 1: Preprocessing ...
% 28.26/7.22  Prover 1: Warning: ignoring some quantifiers
% 28.26/7.26  Prover 1: Constructing countermodel ...
% 34.14/8.66  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 35.53/9.14  Prover 2: Preprocessing ...
% 42.43/11.62  Prover 2: Warning: ignoring some quantifiers
% 42.82/11.74  Prover 2: Constructing countermodel ...
% 49.98/15.64  Prover 0: stopped
% 50.40/15.84  Prover 3: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 51.35/16.30  Prover 3: Preprocessing ...
% 53.06/16.78  Prover 3: Warning: ignoring some quantifiers
% 53.06/16.81  Prover 3: Constructing countermodel ...
% 96.69/56.23  Prover 3: stopped
% 96.91/56.43  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 98.28/56.96  Prover 4: Preprocessing ...
% 102.95/59.26  Prover 4: Warning: ignoring some quantifiers
% 103.21/59.35  Prover 4: Constructing countermodel ...
% 111.73/63.96  Prover 1: proved (3963ms)
% 111.73/63.96  Prover 2: stopped
% 111.73/63.96  Prover 4: stopped
% 111.73/63.97  
% 111.73/63.97  No countermodel exists, formula is valid
% 111.73/63.97  % SZS status Theorem for theBenchmark
% 111.73/63.97  
% 111.73/63.97  Generating proof ... Warning: ignoring some quantifiers
% 180.05/111.05  found it (size 496)
% 180.05/111.05  
% 180.05/111.05  % SZS output start Proof for theBenchmark
% 180.05/111.05  Assumed formulas after preprocessing and simplification: 
% 180.05/111.05  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] :  ? [v33] :  ? [v34] :  ? [v35] :  ? [v36] :  ? [v37] :  ? [v38] :  ? [v39] :  ? [v40] :  ? [v41] :  ? [v42] :  ? [v43] :  ? [v44] :  ? [v45] :  ? [v46] :  ? [v47] :  ? [v48] :  ? [v49] :  ? [v50] :  ? [v51] :  ? [v52] :  ? [v53] :  ? [v54] :  ? [v55] :  ? [v56] :  ? [v57] :  ? [v58] : ( ~ (v52 = 0) &  ~ (v50 = 0) &  ~ (v47 = 0) &  ~ (v38 = 0) &  ~ (v36 = 0) &  ~ (v33 = 0) &  ~ (v30 = 0) &  ~ (v9 = 0) &  ~ (v4 = 0) &  ~ (v0 = 0) & relation_empty_yielding(v31) = 0 & relation_empty_yielding(v28) = 0 & relation_empty_yielding(empty_set) = 0 & latt_str(v53) = 0 & being_limit_ordinal(v44) = 0 & being_limit_ordinal(omega) = 0 & rel_str(v57) = 0 & one_sorted_str(v55) = 0 & one_sorted_str(v29) = 0 & singleton(empty_set) = v1 & relation_rng(empty_set) = empty_set & topological_space(v3) = 0 & point_neighbourhood(v7, v3, v8) = v9 & top_str(v56) = 0 & top_str(v3) = 0 & open_subset(v7, v3) = 0 & relation_dom(empty_set) = empty_set & meet_semilatt_str(v58) = 0 & the_carrier(v3) = v5 & empty_carrier(v29) = v30 & empty_carrier(v3) = v4 & join_semilatt_str(v54) = 0 & one_to_one(v43) = 0 & one_to_one(v39) = 0 & one_to_one(v34) = 0 & one_to_one(empty_set) = 0 & relation(v48) = 0 & relation(v43) = 0 & relation(v42) = 0 & relation(v40) = 0 & relation(v39) = 0 & relation(v37) = 0 & relation(v34) = 0 & relation(v31) = 0 & relation(v28) = 0 & relation(empty_set) = 0 & function(v48) = 0 & function(v43) = 0 & function(v40) = 0 & function(v39) = 0 & function(v34) = 0 & function(v28) = 0 & function(empty_set) = 0 & finite(v49) = 0 & epsilon_connected(v51) = 0 & epsilon_connected(v45) = 0 & epsilon_connected(v44) = 0 & epsilon_connected(v39) = 0 & epsilon_connected(v32) = 0 & epsilon_connected(empty_set) = 0 & epsilon_connected(omega) = 0 & epsilon_transitive(v51) = 0 & epsilon_transitive(v45) = 0 & epsilon_transitive(v44) = 0 & epsilon_transitive(v39) = 0 & epsilon_transitive(v32) = 0 & epsilon_transitive(empty_set) = 0 & epsilon_transitive(omega) = 0 & ordinal(v51) = 0 & ordinal(v45) = 0 & ordinal(v44) = 0 & ordinal(v39) = 0 & ordinal(v32) = 0 & ordinal(empty_set) = 0 & ordinal(omega) = 0 & powerset(v5) = v6 & powerset(v1) = v2 & powerset(empty_set) = v1 & empty(v51) = v52 & empty(v49) = v50 & empty(v46) = v47 & empty(v43) = 0 & empty(v42) = 0 & empty(v41) = 0 & empty(v40) = 0 & empty(v39) = 0 & empty(v37) = v38 & empty(v35) = v36 & empty(v32) = v33 & empty(empty_set) = 0 & empty(omega) = v0 & v5_membered(v46) = 0 & v5_membered(empty_set) = 0 & natural(v51) = 0 & v4_membered(v46) = 0 & v4_membered(empty_set) = 0 & v3_membered(v46) = 0 & v3_membered(empty_set) = 0 & v2_membered(v46) = 0 & v2_membered(empty_set) = 0 & v1_membered(v46) = 0 & v1_membered(empty_set) = 0 & element(v8, v5) = 0 & element(v7, v6) = 0 & in(v8, v7) = 0 & in(empty_set, omega) = 0 &  ~ (centered(empty_set) = 0) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] :  ! [v66] :  ! [v67] : (v65 = 0 |  ~ (relation_composition(v59, v60) = v61) |  ~ (ordered_pair(v62, v66) = v67) |  ~ (ordered_pair(v62, v63) = v64) |  ~ (relation(v61) = 0) |  ~ (relation(v59) = 0) |  ~ (in(v67, v59) = 0) |  ~ (in(v64, v61) = v65) |  ? [v68] :  ? [v69] : (( ~ (v69 = 0) & ordered_pair(v66, v63) = v68 & in(v68, v60) = v69) | ( ~ (v68 = 0) & relation(v60) = v68))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] :  ! [v66] : (v66 = 0 |  ~ (is_transitive_in(v59, v60) = 0) |  ~ (ordered_pair(v61, v63) = v65) |  ~ (ordered_pair(v61, v62) = v64) |  ~ (relation(v59) = 0) |  ~ (in(v65, v59) = v66) |  ~ (in(v64, v59) = 0) |  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] : (ordered_pair(v62, v63) = v70 & in(v70, v59) = v71 & in(v63, v60) = v69 & in(v62, v60) = v68 & in(v61, v60) = v67 & ( ~ (v71 = 0) |  ~ (v69 = 0) |  ~ (v68 = 0) |  ~ (v67 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] :  ! [v66] : (v60 = v59 |  ~ (apply_binary_as_element(v66, v65, v64, v63, v62, v61) = v60) |  ~ (apply_binary_as_element(v66, v65, v64, v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] :  ! [v66] : ( ~ (apply_binary(v62, v63, v64) = v66) |  ~ (relation_of2(v62, v65, v61) = 0) |  ~ (cartesian_product2(v59, v60) = v65) |  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] :  ? [v73] : (apply_binary_as_element(v59, v60, v61, v62, v63, v64) = v73 & quasi_total(v62, v65, v61) = v70 & function(v62) = v69 & empty(v60) = v68 & empty(v59) = v67 & element(v64, v60) = v72 & element(v63, v59) = v71 & ( ~ (v72 = 0) |  ~ (v71 = 0) |  ~ (v70 = 0) |  ~ (v69 = 0) | v73 = v66 | v68 = 0 | v67 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] :  ! [v66] : ( ~ (relation_composition(v64, v62) = v65) |  ~ (identity_relation(v61) = v64) |  ~ (ordered_pair(v59, v60) = v63) |  ~ (in(v63, v65) = v66) |  ? [v67] :  ? [v68] :  ? [v69] : (relation(v62) = v67 & in(v63, v62) = v69 & in(v59, v61) = v68 & ( ~ (v67 = 0) | (( ~ (v69 = 0) |  ~ (v68 = 0) | v66 = 0) & ( ~ (v66 = 0) | (v69 = 0 & v68 = 0)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : (v65 = 0 | v60 = empty_set |  ~ (quasi_total(v62, v59, v60) = 0) |  ~ (relation_rng(v62) = v64) |  ~ (apply(v62, v61) = v63) |  ~ (in(v63, v64) = v65) |  ? [v66] :  ? [v67] :  ? [v68] : (relation_of2_as_subset(v62, v59, v60) = v67 & function(v62) = v66 & in(v61, v59) = v68 & ( ~ (v68 = 0) |  ~ (v67 = 0) |  ~ (v66 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : (v65 = 0 | v60 = empty_set |  ~ (quasi_total(v62, v59, v60) = 0) |  ~ (relation_inverse_image(v62, v61) = v63) |  ~ (in(v64, v63) = v65) |  ? [v66] :  ? [v67] :  ? [v68] : ((relation_of2_as_subset(v62, v59, v60) = v67 & function(v62) = v66 & ( ~ (v67 = 0) |  ~ (v66 = 0))) | (apply(v62, v64) = v67 & in(v67, v61) = v68 & in(v64, v59) = v66 & ( ~ (v68 = 0) |  ~ (v66 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : (v65 = 0 |  ~ (relation_restriction(v61, v59) = v62) |  ~ (fiber(v62, v60) = v63) |  ~ (fiber(v61, v60) = v64) |  ~ (subset(v63, v64) = v65) |  ? [v66] : ( ~ (v66 = 0) & relation(v61) = v66)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : (v65 = 0 |  ~ (relation_rng(v61) = v64) |  ~ (relation_dom(v61) = v62) |  ~ (subset(v64, v60) = v65) |  ~ (subset(v62, v59) = v63) |  ? [v66] : ( ~ (v66 = 0) & relation_of2_as_subset(v61, v59, v60) = v66)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : (v65 = 0 |  ~ (relation_rng(v61) = v64) |  ~ (relation_dom(v61) = v62) |  ~ (in(v60, v64) = v65) |  ~ (in(v59, v62) = v63) |  ? [v66] :  ? [v67] :  ? [v68] : (ordered_pair(v59, v60) = v67 & relation(v61) = v66 & in(v67, v61) = v68 & ( ~ (v68 = 0) |  ~ (v66 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : (v65 = 0 |  ~ (transitive(v59) = 0) |  ~ (ordered_pair(v60, v62) = v64) |  ~ (ordered_pair(v60, v61) = v63) |  ~ (in(v64, v59) = v65) |  ~ (in(v63, v59) = 0) |  ? [v66] :  ? [v67] : (( ~ (v67 = 0) & ordered_pair(v61, v62) = v66 & in(v66, v59) = v67) | ( ~ (v66 = 0) & relation(v59) = v66))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : (v65 = 0 |  ~ (subset(v63, v64) = v65) |  ~ (cartesian_product2(v60, v62) = v64) |  ~ (cartesian_product2(v59, v61) = v63) |  ? [v66] :  ? [v67] : (subset(v61, v62) = v67 & subset(v59, v60) = v66 & ( ~ (v67 = 0) |  ~ (v66 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : (v65 = 0 |  ~ (ordered_pair(v59, v60) = v63) |  ~ (cartesian_product2(v61, v62) = v64) |  ~ (in(v63, v64) = v65) |  ? [v66] :  ? [v67] : (in(v60, v62) = v67 & in(v59, v61) = v66 & ( ~ (v67 = 0) |  ~ (v66 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : (v63 = 0 |  ~ (relation_rng(v61) = v64) |  ~ (relation_dom(v61) = v62) |  ~ (subset(v64, v60) = v65) |  ~ (subset(v62, v59) = v63) |  ? [v66] : ( ~ (v66 = 0) & relation_of2_as_subset(v61, v59, v60) = v66)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : (v63 = 0 |  ~ (relation_rng(v61) = v64) |  ~ (relation_dom(v61) = v62) |  ~ (in(v60, v64) = v65) |  ~ (in(v59, v62) = v63) |  ? [v66] :  ? [v67] :  ? [v68] : (ordered_pair(v59, v60) = v67 & relation(v61) = v66 & in(v67, v61) = v68 & ( ~ (v68 = 0) |  ~ (v66 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : (v63 = 0 |  ~ (relation_inverse_image(v59, v60) = v61) |  ~ (ordered_pair(v62, v64) = v65) |  ~ (relation(v59) = 0) |  ~ (in(v65, v59) = 0) |  ~ (in(v62, v61) = v63) |  ? [v66] : ( ~ (v66 = 0) & in(v64, v60) = v66)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : (v63 = 0 |  ~ (relation_image(v59, v60) = v61) |  ~ (ordered_pair(v64, v62) = v65) |  ~ (relation(v59) = 0) |  ~ (in(v65, v59) = 0) |  ~ (in(v62, v61) = v63) |  ? [v66] : ( ~ (v66 = 0) & in(v64, v60) = v66)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : (v63 = 0 |  ~ (ordered_pair(v64, v65) = v62) |  ~ (cartesian_product2(v59, v60) = v61) |  ~ (in(v62, v61) = v63) |  ? [v66] :  ? [v67] : (in(v65, v60) = v67 & in(v64, v59) = v66 & ( ~ (v67 = 0) |  ~ (v66 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : ( ~ (inclusion_relation(v59) = v60) |  ~ (relation_field(v60) = v61) |  ~ (ordered_pair(v62, v63) = v64) |  ~ (in(v64, v60) = v65) |  ? [v66] :  ? [v67] :  ? [v68] : (( ~ (v66 = 0) & relation(v60) = v66) | (subset(v62, v63) = v68 & in(v63, v59) = v67 & in(v62, v59) = v66 & ( ~ (v67 = 0) |  ~ (v66 = 0) | (( ~ (v68 = 0) | v65 = 0) & ( ~ (v65 = 0) | v68 = 0)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : ( ~ (relation_of2(v62, v65, v61) = 0) |  ~ (cartesian_product2(v59, v60) = v65) |  ~ (element(v64, v60) = 0) |  ~ (element(v63, v59) = 0) |  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] : (apply_binary_as_element(v59, v60, v61, v62, v63, v64) = v70 & quasi_total(v62, v65, v61) = v69 & function(v62) = v68 & empty(v60) = v67 & empty(v59) = v66 & element(v70, v61) = v71 & ( ~ (v69 = 0) |  ~ (v68 = 0) | v71 = 0 | v67 = 0 | v66 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : ( ~ (relation_rng_restriction(v59, v60) = v61) |  ~ (ordered_pair(v62, v63) = v64) |  ~ (relation(v61) = 0) |  ~ (in(v64, v60) = v65) |  ? [v66] :  ? [v67] : (( ~ (v66 = 0) & relation(v60) = v66) | (in(v64, v61) = v66 & in(v63, v59) = v67 & ( ~ (v66 = 0) | (v67 = 0 & v65 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : ( ~ (relation_dom_restriction(v59, v60) = v61) |  ~ (ordered_pair(v62, v63) = v64) |  ~ (relation(v61) = 0) |  ~ (relation(v59) = 0) |  ~ (in(v64, v59) = v65) |  ? [v66] :  ? [v67] : (in(v64, v61) = v66 & in(v62, v60) = v67 & ( ~ (v66 = 0) | (v67 = 0 & v65 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : ( ~ (the_carrier(v59) = v61) |  ~ (cartesian_product2(v60, v64) = v65) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v66] : (( ~ (v66 = 0) & one_sorted_str(v59) = v66) | ( ! [v67] :  ! [v68] :  ! [v69] :  ! [v70] : (v68 = 0 |  ~ (ordered_pair(v69, v70) = v67) |  ~ (in(v67, v66) = v68) |  ~ (in(v67, v65) = 0) |  ? [v71] :  ? [v72] :  ? [v73] : ((v72 = 0 & v71 = v69 &  ~ (v73 = v70) & subset_complement(v61, v69) = v73 & element(v69, v62) = 0) | ( ~ (v71 = 0) & in(v69, v60) = v71))) &  ! [v67] : ( ~ (in(v67, v66) = 0) |  ? [v68] :  ? [v69] : (ordered_pair(v68, v69) = v67 & in(v68, v60) = 0 & in(v67, v65) = 0 & ( ~ (element(v68, v62) = 0) | subset_complement(v61, v68) = v69)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : ( ~ (the_carrier(v59) = v61) |  ~ (cartesian_product2(v60, v64) = v65) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v66] : (( ~ (v66 = 0) & one_sorted_str(v59) = v66) | ( ! [v67] :  ! [v68] :  ! [v69] : ( ~ (ordered_pair(v68, v69) = v67) |  ~ (in(v67, v65) = 0) |  ? [v70] :  ? [v71] :  ? [v72] : ((v71 = 0 & v70 = v68 &  ~ (v72 = v69) & subset_complement(v61, v68) = v72 & element(v68, v62) = 0) | (v70 = 0 & in(v67, v66) = 0) | ( ~ (v70 = 0) & in(v68, v60) = v70))) &  ! [v67] :  ! [v68] : (v68 = 0 |  ~ (in(v67, v65) = v68) |  ? [v69] : ( ~ (v69 = 0) & in(v67, v66) = v69)) &  ! [v67] :  ! [v68] : ( ~ (in(v67, v65) = v68) |  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] : ((v72 = 0 & v71 = v67 & ordered_pair(v69, v70) = v67 & in(v69, v60) = 0 & ( ~ (element(v69, v62) = 0) | subset_complement(v61, v69) = v70)) | ( ~ (v69 = 0) & in(v67, v66) = v69)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 | v62 = v61 |  ~ (is_connected_in(v59, v60) = 0) |  ~ (ordered_pair(v61, v62) = v63) |  ~ (relation(v59) = 0) |  ~ (in(v63, v59) = v64) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (ordered_pair(v62, v61) = v67 & in(v67, v59) = v68 & in(v62, v60) = v66 & in(v61, v60) = v65 & ( ~ (v66 = 0) |  ~ (v65 = 0) | v68 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (relation_rng_as_subset(v59, v60, v61) = v62) |  ~ (powerset(v60) = v63) |  ~ (element(v62, v63) = v64) |  ? [v65] : ( ~ (v65 = 0) & relation_of2(v61, v59, v60) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (complements_of_subsets(v59, v60) = v63) |  ~ (powerset(v61) = v62) |  ~ (powerset(v59) = v61) |  ~ (element(v63, v62) = v64) |  ? [v65] : ( ~ (v65 = 0) & element(v60, v62) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (relation_composition(v59, v61) = v62) |  ~ (relation_dom(v62) = v63) |  ~ (relation_dom(v59) = v60) |  ~ (subset(v63, v60) = v64) |  ? [v65] : (( ~ (v65 = 0) & relation(v61) = v65) | ( ~ (v65 = 0) & relation(v59) = v65))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (relation_composition(v59, v60) = v61) |  ~ (relation_rng(v61) = v62) |  ~ (relation_rng(v60) = v63) |  ~ (subset(v62, v63) = v64) |  ~ (relation(v59) = 0) |  ? [v65] : ( ~ (v65 = 0) & relation(v60) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (relation_inverse(v59) = v60) |  ~ (ordered_pair(v61, v62) = v63) |  ~ (relation(v60) = 0) |  ~ (in(v63, v60) = v64) |  ? [v65] :  ? [v66] : (( ~ (v66 = 0) & ordered_pair(v62, v61) = v65 & in(v65, v59) = v66) | ( ~ (v65 = 0) & relation(v59) = v65))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (subset_difference(v59, v60, v61) = v63) |  ~ (powerset(v59) = v62) |  ~ (element(v63, v62) = v64) |  ? [v65] :  ? [v66] : (element(v61, v62) = v66 & element(v60, v62) = v65 & ( ~ (v66 = 0) |  ~ (v65 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (set_difference(v60, v62) = v63) |  ~ (singleton(v61) = v62) |  ~ (subset(v59, v63) = v64) |  ? [v65] :  ? [v66] : (subset(v59, v60) = v65 & in(v61, v59) = v66 & ( ~ (v65 = 0) | v66 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (set_difference(v60, v61) = v63) |  ~ (set_difference(v59, v61) = v62) |  ~ (subset(v62, v63) = v64) |  ? [v65] : ( ~ (v65 = 0) & subset(v59, v60) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (meet(v59, v60, v61) = v63) |  ~ (the_carrier(v59) = v62) |  ~ (element(v63, v62) = v64) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (meet_semilatt_str(v59) = v66 & empty_carrier(v59) = v65 & element(v61, v62) = v68 & element(v60, v62) = v67 & ( ~ (v68 = 0) |  ~ (v67 = 0) |  ~ (v66 = 0) | v65 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (fiber(v59, v60) = v61) |  ~ (ordered_pair(v62, v60) = v63) |  ~ (relation(v59) = 0) |  ~ (in(v63, v59) = v64) |  ? [v65] : ( ~ (v65 = 0) & in(v62, v61) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (the_topology(v59) = v60) |  ~ (the_carrier(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = v64) |  ? [v65] : ( ~ (v65 = 0) & top_str(v59) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (join(v59, v60, v61) = v63) |  ~ (the_carrier(v59) = v62) |  ~ (element(v63, v62) = v64) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (empty_carrier(v59) = v65 & join_semilatt_str(v59) = v66 & element(v61, v62) = v68 & element(v60, v62) = v67 & ( ~ (v68 = 0) |  ~ (v67 = 0) |  ~ (v66 = 0) | v65 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (relation_dom_as_subset(v59, v60, v61) = v62) |  ~ (powerset(v59) = v63) |  ~ (element(v62, v63) = v64) |  ? [v65] : ( ~ (v65 = 0) & relation_of2(v61, v59, v60) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (relation_rng(v61) = v62) |  ~ (relation_rng(v60) = v63) |  ~ (relation_rng_restriction(v59, v60) = v61) |  ~ (subset(v62, v63) = v64) |  ? [v65] : ( ~ (v65 = 0) & relation(v60) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (relation_rng(v61) = v62) |  ~ (relation_rng(v60) = v63) |  ~ (relation_dom_restriction(v60, v59) = v61) |  ~ (subset(v62, v63) = v64) |  ? [v65] : ( ~ (v65 = 0) & relation(v60) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (interior(v59, v60) = v63) |  ~ (the_carrier(v59) = v61) |  ~ (powerset(v61) = v62) |  ~ (element(v63, v62) = v64) |  ? [v65] :  ? [v66] : (top_str(v59) = v65 & element(v60, v62) = v66 & ( ~ (v66 = 0) |  ~ (v65 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (topstr_closure(v59, v60) = v63) |  ~ (the_carrier(v59) = v61) |  ~ (powerset(v61) = v62) |  ~ (element(v63, v62) = v64) |  ? [v65] :  ? [v66] : (top_str(v59) = v65 & element(v60, v62) = v66 & ( ~ (v66 = 0) |  ~ (v65 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (relation_inverse_image(v61, v60) = v63) |  ~ (relation_inverse_image(v61, v59) = v62) |  ~ (subset(v62, v63) = v64) |  ? [v65] :  ? [v66] : (subset(v59, v60) = v66 & relation(v61) = v65 & ( ~ (v66 = 0) |  ~ (v65 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (relation_field(v61) = v62) |  ~ (in(v60, v62) = v64) |  ~ (in(v59, v62) = v63) |  ? [v65] :  ? [v66] :  ? [v67] : (ordered_pair(v59, v60) = v66 & relation(v61) = v65 & in(v66, v61) = v67 & ( ~ (v67 = 0) |  ~ (v65 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (relation_rng_restriction(v59, v60) = v61) |  ~ (relation_dom(v61) = v62) |  ~ (relation_dom(v60) = v63) |  ~ (subset(v62, v63) = v64) |  ? [v65] : ( ~ (v65 = 0) & relation(v60) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (subset(v62, v63) = v64) |  ~ (set_intersection2(v60, v61) = v63) |  ~ (set_intersection2(v59, v61) = v62) |  ? [v65] : ( ~ (v65 = 0) & subset(v59, v60) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (subset_intersection2(v59, v60, v61) = v63) |  ~ (powerset(v59) = v62) |  ~ (element(v63, v62) = v64) |  ? [v65] :  ? [v66] : (element(v61, v62) = v66 & element(v60, v62) = v65 & ( ~ (v66 = 0) |  ~ (v65 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (meet_commut(v59, v60, v61) = v63) |  ~ (the_carrier(v59) = v62) |  ~ (element(v63, v62) = v64) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (meet_commutative(v59) = v66 & meet_semilatt_str(v59) = v67 & empty_carrier(v59) = v65 & element(v61, v62) = v69 & element(v60, v62) = v68 & ( ~ (v69 = 0) |  ~ (v68 = 0) |  ~ (v67 = 0) |  ~ (v66 = 0) | v65 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (the_carrier(v59) = v62) |  ~ (join_commut(v59, v60, v61) = v63) |  ~ (element(v63, v62) = v64) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (empty_carrier(v59) = v65 & join_commutative(v59) = v66 & join_semilatt_str(v59) = v67 & element(v61, v62) = v69 & element(v60, v62) = v68 & ( ~ (v69 = 0) |  ~ (v68 = 0) |  ~ (v67 = 0) |  ~ (v66 = 0) | v65 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (cartesian_product2(v59, v60) = v62) |  ~ (powerset(v62) = v63) |  ~ (element(v61, v63) = v64) |  ? [v65] : ( ~ (v65 = 0) & relation_of2_as_subset(v61, v59, v60) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v63 = 0 |  ~ (relation_field(v61) = v62) |  ~ (in(v60, v62) = v64) |  ~ (in(v59, v62) = v63) |  ? [v65] :  ? [v66] :  ? [v67] : (ordered_pair(v59, v60) = v66 & relation(v61) = v65 & in(v66, v61) = v67 & ( ~ (v67 = 0) |  ~ (v65 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v62 = v61 |  ~ (ordered_pair(v60, v62) = v64) |  ~ (ordered_pair(v60, v61) = v63) |  ~ (function(v59) = 0) |  ~ (in(v64, v59) = 0) |  ~ (in(v63, v59) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v62 = v60 |  ~ (pair_second(v59) = v60) |  ~ (ordered_pair(v63, v64) = v59) |  ~ (ordered_pair(v61, v62) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v62 = 0 |  ~ (relation_rng(v59) = v60) |  ~ (ordered_pair(v63, v61) = v64) |  ~ (in(v64, v59) = 0) |  ~ (in(v61, v60) = v62) |  ? [v65] : ( ~ (v65 = 0) & relation(v59) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v62 = 0 |  ~ (relation_dom(v59) = v60) |  ~ (ordered_pair(v61, v63) = v64) |  ~ (in(v64, v59) = 0) |  ~ (in(v61, v60) = v62) |  ? [v65] : ( ~ (v65 = 0) & relation(v59) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v61 = v60 |  ~ (pair_first(v59) = v60) |  ~ (ordered_pair(v63, v64) = v59) |  ~ (ordered_pair(v61, v62) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v60 = empty_set |  ~ (quasi_total(v62, v59, v60) = 0) |  ~ (relation_inverse_image(v62, v61) = v63) |  ~ (in(v64, v63) = 0) |  ? [v65] :  ? [v66] :  ? [v67] : ((v67 = 0 & v65 = 0 & apply(v62, v64) = v66 & in(v66, v61) = 0 & in(v64, v59) = 0) | (relation_of2_as_subset(v62, v59, v60) = v66 & function(v62) = v65 & ( ~ (v66 = 0) |  ~ (v65 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (relation_composition(v59, v60) = v61) |  ~ (ordered_pair(v62, v63) = v64) |  ~ (relation(v61) = 0) |  ~ (relation(v59) = 0) |  ~ (in(v64, v61) = 0) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : ((v69 = 0 & v67 = 0 & ordered_pair(v65, v63) = v68 & ordered_pair(v62, v65) = v66 & in(v68, v60) = 0 & in(v66, v59) = 0) | ( ~ (v65 = 0) & relation(v60) = v65))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (relation_isomorphism(v59, v61, v63) = v64) |  ~ (relation_field(v61) = v62) |  ~ (relation_field(v59) = v60) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] :  ? [v73] :  ? [v74] :  ? [v75] :  ? [v76] :  ? [v77] :  ? [v78] :  ? [v79] : (( ~ (v65 = 0) & relation(v61) = v65) | ( ~ (v65 = 0) & relation(v59) = v65) | (relation_rng(v63) = v68 & relation_dom(v63) = v67 & one_to_one(v63) = v69 & relation(v63) = v65 & function(v63) = v66 & ( ~ (v66 = 0) |  ~ (v65 = 0) | (( ~ (v69 = 0) |  ~ (v68 = v62) |  ~ (v67 = v60) | v64 = 0 | (apply(v63, v71) = v77 & apply(v63, v70) = v76 & ordered_pair(v76, v77) = v78 & ordered_pair(v70, v71) = v72 & in(v78, v61) = v79 & in(v72, v59) = v73 & in(v71, v60) = v75 & in(v70, v60) = v74 & ( ~ (v79 = 0) |  ~ (v75 = 0) |  ~ (v74 = 0) |  ~ (v73 = 0)) & (v73 = 0 | (v79 = 0 & v75 = 0 & v74 = 0)))) & ( ~ (v64 = 0) | (v69 = 0 & v68 = v62 & v67 = v60 &  ! [v80] :  ! [v81] :  ! [v82] :  ! [v83] :  ! [v84] :  ! [v85] : ( ~ (apply(v63, v81) = v83) |  ~ (apply(v63, v80) = v82) |  ~ (ordered_pair(v82, v83) = v84) |  ~ (in(v84, v61) = v85) |  ? [v86] :  ? [v87] :  ? [v88] :  ? [v89] : (ordered_pair(v80, v81) = v86 & in(v86, v59) = v87 & in(v81, v60) = v89 & in(v80, v60) = v88 & ( ~ (v87 = 0) | (v89 = 0 & v88 = 0 & v85 = 0)))) &  ! [v80] :  ! [v81] :  ! [v82] :  ! [v83] :  ! [v84] : ( ~ (apply(v63, v81) = v83) |  ~ (apply(v63, v80) = v82) |  ~ (ordered_pair(v82, v83) = v84) |  ~ (in(v84, v61) = 0) |  ? [v85] :  ? [v86] :  ? [v87] :  ? [v88] : (ordered_pair(v80, v81) = v87 & in(v87, v59) = v88 & in(v81, v60) = v86 & in(v80, v60) = v85 & ( ~ (v86 = 0) |  ~ (v85 = 0) | v88 = 0)))))))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (relation_restriction(v60, v59) = v61) |  ~ (relation_field(v61) = v62) |  ~ (relation_field(v60) = v63) |  ~ (subset(v62, v63) = v64) |  ? [v65] :  ? [v66] : (subset(v62, v59) = v66 & relation(v60) = v65 & ( ~ (v65 = 0) | (v66 = 0 & v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (subset_complement(v59, v62) = v63) |  ~ (subset(v60, v63) = v64) |  ~ (powerset(v59) = v61) |  ~ (element(v60, v61) = 0) |  ? [v65] :  ? [v66] : (disjoint(v60, v62) = v66 & element(v62, v61) = v65 & ( ~ (v65 = 0) | (( ~ (v66 = 0) | v64 = 0) & ( ~ (v64 = 0) | v66 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (relation_rng(v62) = v63) |  ~ (relation_rng_restriction(v60, v61) = v62) |  ~ (in(v59, v63) = v64) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (relation_rng(v61) = v67 & relation(v61) = v65 & in(v59, v67) = v68 & in(v59, v60) = v66 & ( ~ (v65 = 0) | (( ~ (v68 = 0) |  ~ (v66 = 0) | v64 = 0) & ( ~ (v64 = 0) | (v68 = 0 & v66 = 0)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (relation_rng_restriction(v59, v60) = v61) |  ~ (ordered_pair(v62, v63) = v64) |  ~ (relation(v61) = 0) |  ~ (in(v64, v60) = 0) |  ? [v65] :  ? [v66] : (( ~ (v65 = 0) & relation(v60) = v65) | (in(v64, v61) = v66 & in(v63, v59) = v65 & ( ~ (v65 = 0) | v66 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (relation_dom(v62) = v63) |  ~ (relation_dom_restriction(v61, v60) = v62) |  ~ (in(v59, v63) = v64) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (relation_dom(v61) = v67 & relation(v61) = v65 & in(v59, v67) = v68 & in(v59, v60) = v66 & ( ~ (v65 = 0) | (( ~ (v68 = 0) |  ~ (v66 = 0) | v64 = 0) & ( ~ (v64 = 0) | (v68 = 0 & v66 = 0)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (relation_dom(v62) = v63) |  ~ (relation_dom_restriction(v61, v59) = v62) |  ~ (in(v60, v63) = v64) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (relation_dom(v61) = v67 & relation(v61) = v65 & function(v61) = v66 & in(v60, v67) = v68 & in(v60, v59) = v69 & ( ~ (v66 = 0) |  ~ (v65 = 0) | (( ~ (v69 = 0) |  ~ (v68 = 0) | v64 = 0) & ( ~ (v64 = 0) | (v69 = 0 & v68 = 0)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (relation_dom_restriction(v59, v60) = v61) |  ~ (ordered_pair(v62, v63) = v64) |  ~ (relation(v61) = 0) |  ~ (relation(v59) = 0) |  ~ (in(v64, v59) = 0) |  ? [v65] :  ? [v66] : (in(v64, v61) = v66 & in(v62, v60) = v65 & ( ~ (v65 = 0) | v66 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (subset(v62, v63) = v64) |  ~ (cartesian_product2(v60, v61) = v63) |  ~ (cartesian_product2(v59, v61) = v62) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (subset(v66, v67) = v68 & subset(v59, v60) = v65 & cartesian_product2(v61, v60) = v67 & cartesian_product2(v61, v59) = v66 & ( ~ (v65 = 0) | (v68 = 0 & v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (ordered_pair(v59, v60) = v63) |  ~ (cartesian_product2(v61, v62) = v64) |  ~ (in(v63, v64) = 0) | (in(v60, v62) = 0 & in(v59, v61) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = v61 | v63 = v60 | v63 = v59 |  ~ (unordered_triple(v59, v60, v61) = v62) |  ~ (in(v63, v62) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 | v59 = empty_set |  ~ (set_meet(v59) = v60) |  ~ (in(v61, v62) = v63) |  ~ (in(v61, v60) = 0) |  ? [v64] : ( ~ (v64 = 0) & in(v62, v59) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (meet_of_subsets(v59, v60) = v62) |  ~ (powerset(v59) = v61) |  ~ (element(v62, v61) = v63) |  ? [v64] :  ? [v65] : ( ~ (v65 = 0) & powerset(v61) = v64 & element(v60, v64) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (function_inverse(v61) = v62) |  ~ (relation_isomorphism(v60, v59, v62) = v63) |  ~ (relation(v60) = 0) |  ~ (relation(v59) = 0) |  ? [v64] :  ? [v65] :  ? [v66] : (relation_isomorphism(v59, v60, v61) = v66 & relation(v61) = v64 & function(v61) = v65 & ( ~ (v66 = 0) |  ~ (v65 = 0) |  ~ (v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (cast_as_carrier_subset(v59) = v60) |  ~ (the_carrier(v59) = v61) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v62) = v63) |  ? [v64] : ( ~ (v64 = 0) & one_sorted_str(v59) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (closed_subset(v62, v59) = v63) |  ~ (subset_complement(v61, v60) = v62) |  ~ (the_carrier(v59) = v61) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (topological_space(v59) = v64 & top_str(v59) = v65 & open_subset(v60, v59) = v66 & powerset(v61) = v67 & element(v60, v67) = v68 & ( ~ (v68 = 0) |  ~ (v66 = 0) |  ~ (v65 = 0) |  ~ (v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (empty_carrier_subset(v59) = v60) |  ~ (the_carrier(v59) = v61) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v62) = v63) |  ? [v64] : ( ~ (v64 = 0) & one_sorted_str(v59) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (subset_complement(v61, v60) = v62) |  ~ (open_subset(v62, v59) = v63) |  ~ (the_carrier(v59) = v61) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (closed_subset(v60, v59) = v66 & topological_space(v59) = v64 & top_str(v59) = v65 & powerset(v61) = v67 & element(v60, v67) = v68 & ( ~ (v68 = 0) |  ~ (v66 = 0) |  ~ (v65 = 0) |  ~ (v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (subset_complement(v59, v60) = v62) |  ~ (powerset(v59) = v61) |  ~ (element(v62, v61) = v63) |  ? [v64] : ( ~ (v64 = 0) & element(v60, v61) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (is_reflexive_in(v59, v60) = 0) |  ~ (ordered_pair(v61, v61) = v62) |  ~ (relation(v59) = 0) |  ~ (in(v62, v59) = v63) |  ? [v64] : ( ~ (v64 = 0) & in(v61, v60) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (union_of_subsets(v59, v60) = v62) |  ~ (powerset(v59) = v61) |  ~ (element(v62, v61) = v63) |  ? [v64] :  ? [v65] : ( ~ (v65 = 0) & powerset(v61) = v64 & element(v60, v64) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (relation_of2_as_subset(v62, v61, v60) = v63) |  ~ (relation_of2_as_subset(v62, v61, v59) = 0) |  ? [v64] : ( ~ (v64 = 0) & subset(v59, v60) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (relation_rng(v61) = v62) |  ~ (relation_rng_restriction(v59, v60) = v61) |  ~ (subset(v62, v59) = v63) |  ? [v64] : ( ~ (v64 = 0) & relation(v60) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (relation_rng(v60) = v62) |  ~ (relation_image(v60, v59) = v61) |  ~ (subset(v61, v62) = v63) |  ? [v64] : ( ~ (v64 = 0) & relation(v60) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (relation_rng(v59) = v61) |  ~ (relation_dom(v59) = v60) |  ~ (subset(v59, v62) = v63) |  ~ (cartesian_product2(v60, v61) = v62) |  ? [v64] : ( ~ (v64 = 0) & relation(v59) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (unordered_triple(v59, v60, v61) = v62) |  ~ (in(v61, v62) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (unordered_triple(v59, v60, v61) = v62) |  ~ (in(v60, v62) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (unordered_triple(v59, v60, v61) = v62) |  ~ (in(v59, v62) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (relation_inverse_image(v60, v61) = v62) |  ~ (relation_image(v60, v59) = v61) |  ~ (subset(v59, v62) = v63) |  ? [v64] :  ? [v65] :  ? [v66] : (relation_dom(v60) = v65 & subset(v59, v65) = v66 & relation(v60) = v64 & ( ~ (v66 = 0) |  ~ (v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (relation_inverse_image(v60, v59) = v61) |  ~ (relation_dom(v60) = v62) |  ~ (subset(v61, v62) = v63) |  ? [v64] : ( ~ (v64 = 0) & relation(v60) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (relation_inverse_image(v60, v59) = v61) |  ~ (relation_image(v60, v61) = v62) |  ~ (subset(v62, v59) = v63) |  ? [v64] :  ? [v65] : (relation(v60) = v64 & function(v60) = v65 & ( ~ (v65 = 0) |  ~ (v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (subset(v62, v61) = v63) |  ~ (unordered_pair(v59, v60) = v62) |  ? [v64] :  ? [v65] : (in(v60, v61) = v65 & in(v59, v61) = v64 & ( ~ (v65 = 0) |  ~ (v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (subset(v62, v60) = v63) |  ~ (set_union2(v59, v61) = v62) |  ? [v64] :  ? [v65] : (subset(v61, v60) = v65 & subset(v59, v60) = v64 & ( ~ (v65 = 0) |  ~ (v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (subset(v61, v62) = v63) |  ~ (cartesian_product2(v59, v60) = v62) |  ? [v64] : ( ~ (v64 = 0) & relation_of2(v61, v59, v60) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (subset(v59, v62) = v63) |  ~ (set_intersection2(v60, v61) = v62) |  ? [v64] :  ? [v65] : (subset(v59, v61) = v65 & subset(v59, v60) = v64 & ( ~ (v65 = 0) |  ~ (v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (identity_relation(v59) = v60) |  ~ (ordered_pair(v61, v61) = v62) |  ~ (relation(v60) = 0) |  ~ (in(v62, v60) = v63) |  ? [v64] : ( ~ (v64 = 0) & in(v61, v59) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (set_union2(v59, v60) = v61) |  ~ (in(v62, v59) = v63) |  ? [v64] :  ? [v65] : (in(v62, v61) = v64 & in(v62, v60) = v65 & ( ~ (v64 = 0) | v65 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (powerset(v61) = v62) |  ~ (element(v60, v62) = 0) |  ~ (element(v59, v61) = v63) |  ? [v64] : ( ~ (v64 = 0) & in(v59, v60) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (powerset(v59) = v61) |  ~ (element(v60, v61) = 0) |  ~ (in(v62, v59) = v63) |  ? [v64] : ( ~ (v64 = 0) & in(v62, v60) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v62 = v61 |  ~ (is_antisymmetric_in(v59, v60) = 0) |  ~ (ordered_pair(v61, v62) = v63) |  ~ (relation(v59) = 0) |  ~ (in(v63, v59) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (ordered_pair(v62, v61) = v66 & in(v66, v59) = v67 & in(v62, v60) = v65 & in(v61, v60) = v64 & ( ~ (v67 = 0) |  ~ (v65 = 0) |  ~ (v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v62 = v61 |  ~ (identity_relation(v59) = v60) |  ~ (ordered_pair(v61, v62) = v63) |  ~ (relation(v60) = 0) |  ~ (in(v63, v60) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v62 = v60 |  ~ (fiber(v59, v60) = v61) |  ~ (ordered_pair(v62, v60) = v63) |  ~ (relation(v59) = 0) |  ~ (in(v63, v59) = 0) | in(v62, v61) = 0) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v62 = v60 |  ~ (ordered_pair(v61, v62) = v63) |  ~ (ordered_pair(v59, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v62 = v59 | v61 = v59 |  ~ (unordered_pair(v61, v62) = v63) |  ~ (unordered_pair(v59, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v62 = 0 |  ~ (union(v59) = v60) |  ~ (in(v61, v63) = 0) |  ~ (in(v61, v60) = v62) |  ? [v64] : ( ~ (v64 = 0) & in(v63, v59) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v61 = v59 |  ~ (ordered_pair(v61, v62) = v63) |  ~ (ordered_pair(v59, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v61 = 0 |  ~ (cartesian_product2(v59, v62) = v63) |  ~ (relation(v60) = 0) |  ~ (empty(v59) = v61) |  ? [v64] : ( ! [v65] :  ! [v66] :  ! [v67] :  ! [v68] : (v66 = 0 |  ~ (ordered_pair(v67, v68) = v65) |  ~ (in(v68, v67) = 0) |  ~ (in(v65, v64) = v66) |  ~ (in(v65, v63) = 0) |  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] : ((v70 = 0 &  ~ (v72 = 0) & ordered_pair(v68, v69) = v71 & in(v71, v60) = v72 & in(v69, v67) = 0) | ( ~ (v69 = 0) & in(v67, v59) = v69))) &  ! [v65] : ( ~ (in(v65, v64) = 0) |  ? [v66] :  ? [v67] : (ordered_pair(v66, v67) = v65 & in(v67, v66) = 0 & in(v66, v59) = 0 & in(v65, v63) = 0 &  ! [v68] :  ! [v69] :  ! [v70] : (v70 = 0 |  ~ (ordered_pair(v67, v68) = v69) |  ~ (in(v69, v60) = v70) |  ? [v71] : ( ~ (v71 = 0) & in(v68, v66) = v71)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v61 = 0 |  ~ (cartesian_product2(v59, v62) = v63) |  ~ (relation(v60) = 0) |  ~ (empty(v59) = v61) |  ? [v64] : ( ! [v65] :  ! [v66] :  ! [v67] : ( ~ (ordered_pair(v66, v67) = v65) |  ~ (in(v67, v66) = 0) |  ~ (in(v65, v63) = 0) |  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] : ((v69 = 0 &  ~ (v71 = 0) & ordered_pair(v67, v68) = v70 & in(v70, v60) = v71 & in(v68, v66) = 0) | (v68 = 0 & in(v65, v64) = 0) | ( ~ (v68 = 0) & in(v66, v59) = v68))) &  ! [v65] :  ! [v66] : (v66 = 0 |  ~ (in(v65, v63) = v66) |  ? [v67] : ( ~ (v67 = 0) & in(v65, v64) = v67)) &  ! [v65] :  ! [v66] : ( ~ (in(v65, v63) = v66) |  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] : ((v72 = 0 & v71 = v67 & v70 = 0 & v69 = v65 & ordered_pair(v67, v68) = v65 & in(v68, v67) = 0 & in(v67, v59) = 0 &  ! [v73] :  ! [v74] :  ! [v75] : (v75 = 0 |  ~ (ordered_pair(v68, v73) = v74) |  ~ (in(v74, v60) = v75) |  ? [v76] : ( ~ (v76 = 0) & in(v73, v67) = v76))) | ( ~ (v67 = 0) & in(v65, v64) = v67))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (apply_binary(v63, v62, v61) = v60) |  ~ (apply_binary(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (relation_rng_as_subset(v63, v62, v61) = v60) |  ~ (relation_rng_as_subset(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (related(v63, v62, v61) = v60) |  ~ (related(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (relation_isomorphism(v63, v62, v61) = v60) |  ~ (relation_isomorphism(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (subset_difference(v63, v62, v61) = v60) |  ~ (subset_difference(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (below(v63, v62, v61) = v60) |  ~ (below(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (meet(v63, v62, v61) = v60) |  ~ (meet(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (relation_of2(v63, v62, v61) = v60) |  ~ (relation_of2(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (join(v63, v62, v61) = v60) |  ~ (join(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (relation_dom_as_subset(v63, v62, v61) = v60) |  ~ (relation_dom_as_subset(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (relation_of2_as_subset(v63, v62, v61) = v60) |  ~ (relation_of2_as_subset(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (quasi_total(v63, v62, v61) = v60) |  ~ (quasi_total(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (unordered_triple(v63, v62, v61) = v60) |  ~ (unordered_triple(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (point_neighbourhood(v63, v62, v61) = v60) |  ~ (point_neighbourhood(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (subset_intersection2(v63, v62, v61) = v60) |  ~ (subset_intersection2(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (meet_commut(v63, v62, v61) = v60) |  ~ (meet_commut(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = v59 |  ~ (join_commut(v63, v62, v61) = v60) |  ~ (join_commut(v63, v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = empty_set |  ~ (meet_of_subsets(v59, v60) = v62) |  ~ (subset_difference(v59, v61, v62) = v63) |  ~ (cast_to_subset(v59) = v61) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (complements_of_subsets(v59, v60) = v67 & union_of_subsets(v59, v67) = v68 & powerset(v64) = v65 & powerset(v59) = v64 & element(v60, v65) = v66 & ( ~ (v66 = 0) | v68 = v63))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = empty_set |  ~ (subset_difference(v59, v61, v62) = v63) |  ~ (cast_to_subset(v59) = v61) |  ~ (union_of_subsets(v59, v60) = v62) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (meet_of_subsets(v59, v67) = v68 & complements_of_subsets(v59, v60) = v67 & powerset(v64) = v65 & powerset(v59) = v64 & element(v60, v65) = v66 & ( ~ (v66 = 0) | v68 = v63))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v60 = empty_set |  ~ (quasi_total(v62, v59, v61) = v63) |  ~ (quasi_total(v62, v59, v60) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (relation_of2_as_subset(v62, v59, v61) = v67 & relation_of2_as_subset(v62, v59, v60) = v65 & subset(v60, v61) = v66 & function(v62) = v64 & ( ~ (v66 = 0) |  ~ (v65 = 0) |  ~ (v64 = 0) | (v67 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (function_inverse(v60) = v61) |  ~ (relation_composition(v61, v60) = v62) |  ~ (apply(v62, v59) = v63) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] : (relation_rng(v60) = v67 & apply(v61, v59) = v69 & apply(v60, v69) = v70 & one_to_one(v60) = v66 & relation(v60) = v64 & function(v60) = v65 & in(v59, v67) = v68 & ( ~ (v68 = 0) |  ~ (v66 = 0) |  ~ (v65 = 0) |  ~ (v64 = 0) | (v70 = v59 & v63 = v59)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (relation_composition(v61, v60) = v62) |  ~ (relation_dom(v62) = v63) |  ~ (function(v60) = 0) |  ~ (in(v59, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (( ~ (v64 = 0) & relation(v60) = v64) | (apply(v62, v59) = v66 & apply(v61, v59) = v67 & apply(v60, v67) = v68 & relation(v61) = v64 & function(v61) = v65 & ( ~ (v65 = 0) |  ~ (v64 = 0) | v68 = v66)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (relation_inverse(v59) = v60) |  ~ (ordered_pair(v61, v62) = v63) |  ~ (relation(v60) = 0) |  ~ (in(v63, v60) = 0) |  ? [v64] :  ? [v65] : ((v65 = 0 & ordered_pair(v62, v61) = v64 & in(v64, v59) = 0) | ( ~ (v64 = 0) & relation(v59) = v64))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (relation_restriction(v61, v60) = v62) |  ~ (relation_field(v62) = v63) |  ~ (in(v59, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (relation_field(v61) = v65 & relation(v61) = v64 & in(v59, v65) = v66 & in(v59, v60) = v67 & ( ~ (v64 = 0) | (v67 = 0 & v66 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (relation_restriction(v61, v60) = v62) |  ~ (in(v59, v62) = v63) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (cartesian_product2(v60, v60) = v66 & relation(v61) = v64 & in(v59, v66) = v67 & in(v59, v61) = v65 & ( ~ (v64 = 0) | (( ~ (v67 = 0) |  ~ (v65 = 0) | v63 = 0) & ( ~ (v63 = 0) | (v67 = 0 & v65 = 0)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (set_difference(v59, v60) = v61) |  ~ (in(v62, v59) = v63) |  ? [v64] :  ? [v65] : (in(v62, v61) = v64 & in(v62, v60) = v65 & ( ~ (v64 = 0) | (v63 = 0 &  ~ (v65 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (the_L_meet(v59) = v60) |  ~ (quasi_total(v60, v62, v61) = v63) |  ~ (the_carrier(v59) = v61) |  ~ (cartesian_product2(v61, v61) = v62) |  ? [v64] :  ? [v65] :  ? [v66] : (relation_of2_as_subset(v60, v62, v61) = v66 & meet_semilatt_str(v59) = v64 & function(v60) = v65 & ( ~ (v64 = 0) | (v66 = 0 & v65 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (fiber(v59, v60) = v61) |  ~ (ordered_pair(v60, v60) = v62) |  ~ (relation(v59) = 0) |  ~ (in(v62, v59) = v63) |  ? [v64] : ( ~ (v64 = 0) & in(v60, v61) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (singleton(v59) = v62) |  ~ (unordered_pair(v61, v62) = v63) |  ~ (unordered_pair(v59, v60) = v61) | ordered_pair(v59, v60) = v63) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (succ(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (singleton(v59) = v66 & ordinal(v59) = v64 & powerset(v59) = v65 & ( ~ (v64 = 0) | ( ! [v68] :  ! [v69] : (v69 = 0 |  ~ (in(v68, v65) = v69) |  ? [v70] : ( ~ (v70 = 0) & in(v68, v67) = v70)) &  ! [v68] :  ! [v69] : ( ~ (set_difference(v69, v66) = v68) |  ~ (in(v68, v65) = 0) |  ? [v70] : ((v70 = 0 & in(v68, v67) = 0) | ( ~ (v70 = 0) & in(v69, v60) = v70))) &  ! [v68] :  ! [v69] : ( ~ (in(v68, v65) = v69) |  ? [v70] :  ? [v71] :  ? [v72] : ((v72 = v68 & v71 = 0 & set_difference(v70, v66) = v68 & in(v70, v60) = 0) | ( ~ (v70 = 0) & in(v68, v67) = v70))))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (succ(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (singleton(v59) = v65 & ordinal(v59) = v64 & powerset(v59) = v66 & ( ~ (v64 = 0) | ( ! [v68] :  ! [v69] :  ! [v70] : (v69 = 0 |  ~ (set_difference(v70, v65) = v68) |  ~ (in(v68, v67) = v69) |  ~ (in(v68, v66) = 0) |  ? [v71] : ( ~ (v71 = 0) & in(v70, v60) = v71)) &  ! [v68] : ( ~ (in(v68, v67) = 0) |  ? [v69] : (set_difference(v69, v65) = v68 & in(v69, v60) = 0 & in(v68, v66) = 0)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (the_L_join(v59) = v60) |  ~ (quasi_total(v60, v62, v61) = v63) |  ~ (the_carrier(v59) = v61) |  ~ (cartesian_product2(v61, v61) = v62) |  ? [v64] :  ? [v65] :  ? [v66] : (relation_of2_as_subset(v60, v62, v61) = v66 & join_semilatt_str(v59) = v64 & function(v60) = v65 & ( ~ (v64 = 0) | (v66 = 0 & v65 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (relation_of2_as_subset(v62, v61, v59) = 0) |  ~ (relation_rng(v62) = v63) |  ~ (subset(v63, v60) = 0) | relation_of2_as_subset(v62, v61, v60) = 0) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (quasi_total(v62, v59, v60) = 0) |  ~ (apply(v62, v61) = v63) |  ? [v64] :  ? [v65] :  ? [v66] : (relation_of2_as_subset(v62, v59, v60) = v65 & function(v62) = v64 & in(v61, v59) = v66 & ( ~ (v65 = 0) |  ~ (v64 = 0) |  ! [v67] :  ! [v68] :  ! [v69] : ( ~ (v66 = 0) | v60 = empty_set |  ~ (relation_composition(v62, v67) = v68) |  ~ (apply(v68, v61) = v69) |  ? [v70] :  ? [v71] :  ? [v72] : (apply(v67, v63) = v72 & relation(v67) = v70 & function(v67) = v71 & ( ~ (v71 = 0) |  ~ (v70 = 0) | v72 = v69)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (relation_inverse_image(v61, v60) = v62) |  ~ (in(v59, v62) = v63) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] : (relation_rng(v61) = v65 & relation(v61) = v64 & ( ~ (v64 = 0) | (( ~ (v63 = 0) | (v70 = 0 & v69 = 0 & v67 = 0 & ordered_pair(v59, v66) = v68 & in(v68, v61) = 0 & in(v66, v65) = 0 & in(v66, v60) = 0)) & (v63 = 0 |  ! [v71] : ( ~ (in(v71, v65) = 0) |  ? [v72] :  ? [v73] :  ? [v74] : (ordered_pair(v59, v71) = v72 & in(v72, v61) = v73 & in(v71, v60) = v74 & ( ~ (v74 = 0) |  ~ (v73 = 0))))))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (relation_rng_restriction(v59, v62) = v63) |  ~ (relation_dom_restriction(v61, v60) = v62) |  ? [v64] :  ? [v65] :  ? [v66] : (relation_rng_restriction(v59, v61) = v65 & relation_dom_restriction(v65, v60) = v66 & relation(v61) = v64 & ( ~ (v64 = 0) | v66 = v63))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (relation_dom(v62) = v63) |  ~ (relation_dom_restriction(v61, v59) = v62) |  ~ (in(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (apply(v62, v60) = v66 & apply(v61, v60) = v67 & relation(v61) = v64 & function(v61) = v65 & ( ~ (v65 = 0) |  ~ (v64 = 0) | v67 = v66))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (relation_dom(v60) = v61) |  ~ (relation_image(v60, v62) = v63) |  ~ (set_intersection2(v61, v59) = v62) |  ? [v64] :  ? [v65] : (relation_image(v60, v59) = v65 & relation(v60) = v64 & ( ~ (v64 = 0) | v65 = v63))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (relation_image(v61, v60) = v62) |  ~ (in(v59, v62) = v63) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] : (relation_dom(v61) = v65 & relation(v61) = v64 & ( ~ (v64 = 0) | (( ~ (v63 = 0) | (v70 = 0 & v69 = 0 & v67 = 0 & ordered_pair(v66, v59) = v68 & in(v68, v61) = 0 & in(v66, v65) = 0 & in(v66, v60) = 0)) & (v63 = 0 |  ! [v71] : ( ~ (in(v71, v65) = 0) |  ? [v72] :  ? [v73] :  ? [v74] : (ordered_pair(v71, v59) = v72 & in(v72, v61) = v73 & in(v71, v60) = v74 & ( ~ (v74 = 0) |  ~ (v73 = 0))))))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (apply(v62, v60) = v63) |  ~ (relation_dom_restriction(v61, v59) = v62) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (apply(v61, v60) = v67 & relation(v61) = v64 & function(v61) = v65 & in(v60, v59) = v66 & ( ~ (v66 = 0) |  ~ (v65 = 0) |  ~ (v64 = 0) | v67 = v63))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (subset(v59, v60) = 0) |  ~ (ordered_pair(v61, v62) = v63) |  ~ (relation(v59) = 0) |  ~ (in(v63, v59) = 0) |  ? [v64] : ((v64 = 0 & in(v63, v60) = 0) | ( ~ (v64 = 0) & relation(v60) = v64))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (identity_relation(v59) = v60) |  ~ (ordered_pair(v61, v62) = v63) |  ~ (relation(v60) = 0) |  ~ (in(v63, v60) = 0) | in(v61, v59) = 0) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (ordered_pair(v59, v60) = v62) |  ~ (in(v62, v61) = v63) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (relation_dom(v61) = v66 & apply(v61, v59) = v68 & relation(v61) = v64 & function(v61) = v65 & in(v59, v66) = v67 & ( ~ (v65 = 0) |  ~ (v64 = 0) | (( ~ (v68 = v60) |  ~ (v67 = 0) | v63 = 0) & ( ~ (v63 = 0) | (v68 = v60 & v67 = 0)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (set_intersection2(v59, v60) = v61) |  ~ (in(v62, v59) = v63) |  ? [v64] :  ? [v65] : (in(v62, v61) = v64 & in(v62, v60) = v65 & ( ~ (v64 = 0) | (v65 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (complements_of_subsets(v61, v60) = v65 & one_sorted_str(v59) = v64 & ( ~ (v64 = 0) | (v69 = v65 & v68 = 0 & v67 = 0 & relation_dom(v66) = v65 & relation(v66) = 0 & function(v66) = 0 &  ! [v70] : ( ~ (in(v70, v65) = 0) |  ? [v71] : (apply(v66, v70) = v71 & ( ~ (element(v70, v62) = 0) | subset_complement(v61, v70) = v71)))) | (v69 = 0 &  ~ (v68 = v67) & in(v66, v65) = 0 & ( ~ (element(v66, v62) = 0) | subset_complement(v61, v66) = v68) & ( ~ (element(v66, v62) = 0) | subset_complement(v61, v66) = v67)) | (v67 = 0 & in(v66, v65) = 0 &  ? [v70] :  ? [v71] : ( ~ (v71 = v70) & subset_complement(v61, v66) = v71 & element(v66, v62) = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (complements_of_subsets(v61, v60) = v65 & one_sorted_str(v59) = v64 & ( ~ (v64 = 0) | (v69 = 0 &  ~ (v68 = v67) & in(v66, v65) = 0 & ( ~ (element(v66, v62) = 0) | subset_complement(v61, v66) = v68) & ( ~ (element(v66, v62) = 0) | subset_complement(v61, v66) = v67)) | (v68 = 0 & v67 = 0 & relation(v66) = 0 & function(v66) = 0 &  ! [v70] :  ! [v71] :  ! [v72] :  ! [v73] : (v73 = 0 |  ~ (ordered_pair(v70, v71) = v72) |  ~ (in(v72, v66) = v73) |  ? [v74] :  ? [v75] :  ? [v76] : ((v75 = 0 & v74 = v70 &  ~ (v76 = v71) & subset_complement(v61, v70) = v76 & element(v70, v62) = 0) | ( ~ (v74 = 0) & in(v70, v65) = v74))) &  ! [v70] :  ! [v71] :  ! [v72] : ( ~ (ordered_pair(v70, v71) = v72) |  ~ (element(v70, v62) = 0) |  ~ (in(v72, v66) = 0) | subset_complement(v61, v70) = v71) &  ! [v70] :  ! [v71] :  ! [v72] : ( ~ (ordered_pair(v70, v71) = v72) |  ~ (in(v72, v66) = 0) | in(v70, v65) = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (complements_of_subsets(v61, v60) = v65 & one_sorted_str(v59) = v64 & ( ~ (v64 = 0) | (v69 = 0 &  ~ (v68 = v67) & in(v66, v65) = 0 & ( ~ (element(v66, v62) = 0) | subset_complement(v61, v66) = v68) & ( ~ (element(v66, v62) = 0) | subset_complement(v61, v66) = v67)) | ( ! [v70] :  ! [v71] :  ! [v72] : (v71 = 0 |  ~ (in(v72, v65) = 0) |  ~ (in(v70, v66) = v71) |  ? [v73] : ( ~ (v73 = v70) & subset_complement(v61, v72) = v73 & element(v72, v62) = 0)) &  ! [v70] : ( ~ (in(v70, v66) = 0) |  ? [v71] : (in(v71, v65) = 0 & ( ~ (element(v71, v62) = 0) | subset_complement(v61, v71) = v70))))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (cast_as_carrier_subset(v59) = v66 & topological_space(v59) = v64 & top_str(v59) = v65 & ( ~ (v65 = 0) |  ~ (v64 = 0) | (v68 = 0 & element(v67, v63) = 0 &  ! [v69] : ( ~ (element(v69, v62) = 0) |  ? [v70] :  ? [v71] :  ? [v72] : (set_difference(v66, v69) = v71 & in(v71, v60) = v72 & in(v69, v67) = v70 & ( ~ (v72 = 0) | v70 = 0) & ( ~ (v70 = 0) | v72 = 0))))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (cast_as_carrier_subset(v59) = v66 & topological_space(v59) = v64 & top_str(v59) = v65 & ( ~ (v65 = 0) |  ~ (v64 = 0) | ( ! [v68] :  ! [v69] :  ! [v70] : ( ~ (set_difference(v66, v68) = v69) |  ~ (in(v69, v60) = v70) |  ? [v71] :  ? [v72] : (in(v68, v67) = v71 & in(v68, v62) = v72 & ( ~ (v71 = 0) | (v72 = 0 & v70 = 0)))) &  ! [v68] :  ! [v69] : ( ~ (set_difference(v66, v68) = v69) |  ~ (in(v69, v60) = 0) |  ? [v70] :  ? [v71] : (in(v68, v67) = v71 & in(v68, v62) = v70 & ( ~ (v70 = 0) | v71 = 0))))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (cast_as_carrier_subset(v59) = v66 & topological_space(v59) = v64 & top_str(v59) = v65 & ( ~ (v65 = 0) |  ~ (v64 = 0) | ( ! [v68] :  ! [v69] :  ! [v70] : ( ~ (set_difference(v66, v68) = v69) |  ~ (in(v69, v60) = v70) |  ? [v71] :  ? [v72] : ((v72 = 0 & v71 = v68 & v70 = 0 & in(v68, v62) = 0) | ( ~ (v71 = 0) & in(v68, v67) = v71))) &  ! [v68] :  ! [v69] : ( ~ (set_difference(v66, v68) = v69) |  ~ (in(v69, v60) = 0) |  ~ (in(v68, v62) = 0) | in(v68, v67) = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : ((v67 = v60 & v66 = 0 & v65 = 0 & relation_dom(v64) = v60 & relation(v64) = 0 & function(v64) = 0 &  ! [v68] :  ! [v69] : ( ~ (apply(v64, v68) = v69) |  ~ (element(v68, v62) = 0) |  ? [v70] : ((v70 = v69 & subset_complement(v61, v68) = v69) | ( ~ (v70 = 0) & in(v68, v60) = v70)))) | (v67 = 0 &  ~ (v66 = v65) & in(v64, v60) = 0 & ( ~ (element(v64, v62) = 0) | subset_complement(v61, v64) = v66) & ( ~ (element(v64, v62) = 0) | subset_complement(v61, v64) = v65)) | (v65 = 0 & in(v64, v60) = 0 &  ? [v68] :  ? [v69] : ( ~ (v69 = v68) & subset_complement(v61, v64) = v69 & element(v64, v62) = 0)) | ( ~ (v64 = 0) & one_sorted_str(v59) = v64))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : ((v67 = 0 &  ~ (v66 = v65) & in(v64, v60) = 0 & ( ~ (element(v64, v62) = 0) | subset_complement(v61, v64) = v66) & ( ~ (element(v64, v62) = 0) | subset_complement(v61, v64) = v65)) | (v66 = 0 & v65 = 0 & relation(v64) = 0 & function(v64) = 0 &  ! [v68] :  ! [v69] :  ! [v70] :  ! [v71] : (v71 = 0 |  ~ (ordered_pair(v68, v69) = v70) |  ~ (in(v70, v64) = v71) |  ? [v72] :  ? [v73] :  ? [v74] : ((v73 = 0 & v72 = v68 &  ~ (v74 = v69) & subset_complement(v61, v68) = v74 & element(v68, v62) = 0) | ( ~ (v72 = 0) & in(v68, v60) = v72))) &  ! [v68] :  ! [v69] :  ! [v70] : ( ~ (ordered_pair(v68, v69) = v70) |  ~ (element(v68, v62) = 0) |  ~ (in(v70, v64) = 0) | subset_complement(v61, v68) = v69) &  ! [v68] :  ! [v69] :  ! [v70] : ( ~ (ordered_pair(v68, v69) = v70) |  ~ (in(v70, v64) = 0) | in(v68, v60) = 0)) | ( ~ (v64 = 0) & one_sorted_str(v59) = v64))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : ((v67 = 0 &  ~ (v66 = v65) & in(v64, v60) = 0 & ( ~ (element(v64, v62) = 0) | subset_complement(v61, v64) = v66) & ( ~ (element(v64, v62) = 0) | subset_complement(v61, v64) = v65)) | ( ~ (v64 = 0) & one_sorted_str(v59) = v64) | ( ! [v68] :  ! [v69] :  ! [v70] : (v69 = 0 |  ~ (in(v70, v60) = 0) |  ~ (in(v68, v64) = v69) |  ? [v71] : ( ~ (v71 = v68) & subset_complement(v61, v70) = v71 & element(v70, v62) = 0)) &  ! [v68] : ( ~ (in(v68, v64) = 0) |  ? [v69] : (in(v69, v60) = 0 & ( ~ (element(v69, v62) = 0) | subset_complement(v61, v69) = v68)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] : (complements_of_subsets(v61, v60) = v65 & one_sorted_str(v59) = v64 & ( ~ (v64 = 0) |  ! [v66] :  ! [v67] : ( ~ (cartesian_product2(v65, v66) = v67) |  ? [v68] : ( ! [v69] :  ! [v70] :  ! [v71] :  ! [v72] : (v70 = 0 |  ~ (ordered_pair(v71, v72) = v69) |  ~ (in(v69, v68) = v70) |  ~ (in(v69, v67) = 0) |  ? [v73] :  ? [v74] :  ? [v75] : ((v74 = 0 & v73 = v71 &  ~ (v75 = v72) & subset_complement(v61, v71) = v75 & element(v71, v62) = 0) | ( ~ (v73 = 0) & in(v71, v65) = v73))) &  ! [v69] : ( ~ (in(v69, v68) = 0) |  ? [v70] :  ? [v71] : (ordered_pair(v70, v71) = v69 & in(v70, v65) = 0 & in(v69, v67) = 0 & ( ~ (element(v70, v62) = 0) | subset_complement(v61, v70) = v71)))))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v62) = v63) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] : (complements_of_subsets(v61, v60) = v65 & one_sorted_str(v59) = v64 & ( ~ (v64 = 0) |  ! [v66] :  ! [v67] : ( ~ (cartesian_product2(v65, v66) = v67) |  ? [v68] : ( ! [v69] :  ! [v70] :  ! [v71] : ( ~ (ordered_pair(v70, v71) = v69) |  ~ (in(v69, v67) = 0) |  ? [v72] :  ? [v73] :  ? [v74] : ((v73 = 0 & v72 = v70 &  ~ (v74 = v71) & subset_complement(v61, v70) = v74 & element(v70, v62) = 0) | (v72 = 0 & in(v69, v68) = 0) | ( ~ (v72 = 0) & in(v70, v65) = v72))) &  ! [v69] :  ! [v70] : (v70 = 0 |  ~ (in(v69, v67) = v70) |  ? [v71] : ( ~ (v71 = 0) & in(v69, v68) = v71)) &  ! [v69] :  ! [v70] : ( ~ (in(v69, v67) = v70) |  ? [v71] :  ? [v72] :  ? [v73] :  ? [v74] : ((v74 = 0 & v73 = v69 & ordered_pair(v71, v72) = v69 & in(v71, v65) = 0 & ( ~ (element(v71, v62) = 0) | subset_complement(v61, v71) = v72)) | ( ~ (v71 = 0) & in(v69, v68) = v71)))))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (set_union2(v59, v60) = v61) |  ~ (in(v62, v59) = v63) |  ? [v64] :  ? [v65] : (in(v62, v61) = v65 & in(v62, v60) = v64 & (v65 = 0 | ( ~ (v64 = 0) &  ~ (v63 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (cartesian_product2(v59, v60) = v62) |  ~ (powerset(v62) = v63) |  ~ (element(v61, v63) = 0) | relation(v61) = 0) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (function(v61) = 0) |  ~ (powerset(v62) = v63) |  ~ (powerset(v59) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (relation_dom(v61) = v65 & relation(v61) = v64 & powerset(v65) = v66 & ( ~ (v64 = 0) | ( ! [v68] :  ! [v69] :  ! [v70] : ( ~ (relation_image(v61, v68) = v69) |  ~ (in(v69, v60) = v70) |  ? [v71] :  ? [v72] : ((v72 = 0 & v71 = v68 & v70 = 0 & in(v68, v66) = 0) | ( ~ (v71 = 0) & in(v68, v67) = v71))) &  ! [v68] :  ! [v69] : ( ~ (relation_image(v61, v68) = v69) |  ~ (in(v69, v60) = 0) |  ~ (in(v68, v66) = 0) | in(v68, v67) = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (function(v61) = 0) |  ~ (powerset(v62) = v63) |  ~ (powerset(v59) = v62) |  ~ (element(v60, v63) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (relation_dom(v61) = v65 & relation(v61) = v64 & powerset(v65) = v66 & ( ~ (v64 = 0) | ( ! [v68] :  ! [v69] : ( ~ (in(v68, v66) = v69) |  ? [v70] :  ? [v71] :  ? [v72] : (relation_image(v61, v68) = v71 & in(v71, v60) = v72 & in(v68, v67) = v70 & ( ~ (v70 = 0) | (v72 = 0 & v69 = 0)))) &  ! [v68] : ( ~ (in(v68, v66) = 0) |  ? [v69] :  ? [v70] :  ? [v71] : (relation_image(v61, v68) = v69 & in(v69, v60) = v70 & in(v68, v67) = v71 & ( ~ (v70 = 0) | v71 = 0))))))) &  ? [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v63 = v59 |  ~ (unordered_triple(v60, v61, v62) = v63) |  ? [v64] :  ? [v65] : (in(v64, v59) = v65 & ( ~ (v65 = 0) | ( ~ (v64 = v62) &  ~ (v64 = v61) &  ~ (v64 = v60))) & (v65 = 0 | v64 = v62 | v64 = v61 | v64 = v60))) &  ? [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v61 = v59 |  ~ (pair_second(v60) = v61) |  ~ (ordered_pair(v62, v63) = v60) |  ? [v64] :  ? [v65] : ( ~ (v65 = v59) & ordered_pair(v64, v65) = v60)) &  ? [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] : (v61 = v59 |  ~ (pair_first(v60) = v61) |  ~ (ordered_pair(v62, v63) = v60) |  ? [v64] :  ? [v65] : ( ~ (v64 = v59) & ordered_pair(v64, v65) = v60)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v61 |  ~ (relation_composition(v59, v60) = v61) |  ~ (relation(v62) = 0) |  ~ (relation(v59) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] : (( ~ (v63 = 0) & relation(v60) = v63) | (ordered_pair(v63, v64) = v65 & in(v65, v62) = v66 & ( ~ (v66 = 0) |  ! [v72] :  ! [v73] : ( ~ (ordered_pair(v63, v72) = v73) |  ~ (in(v73, v59) = 0) |  ? [v74] :  ? [v75] : ( ~ (v75 = 0) & ordered_pair(v72, v64) = v74 & in(v74, v60) = v75))) & (v66 = 0 | (v71 = 0 & v69 = 0 & ordered_pair(v67, v64) = v70 & ordered_pair(v63, v67) = v68 & in(v70, v60) = 0 & in(v68, v59) = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v61 |  ~ (relation_rng_restriction(v59, v60) = v61) |  ~ (relation(v62) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (( ~ (v63 = 0) & relation(v60) = v63) | (ordered_pair(v63, v64) = v65 & in(v65, v62) = v66 & in(v65, v60) = v68 & in(v64, v59) = v67 & ( ~ (v68 = 0) |  ~ (v67 = 0) |  ~ (v66 = 0)) & (v66 = 0 | (v68 = 0 & v67 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v61 |  ~ (relation_dom_restriction(v59, v60) = v62) |  ~ (relation(v61) = 0) |  ~ (relation(v59) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (ordered_pair(v63, v64) = v65 & in(v65, v61) = v66 & in(v65, v59) = v68 & in(v63, v60) = v67 & ( ~ (v68 = 0) |  ~ (v67 = 0) |  ~ (v66 = 0)) & (v66 = 0 | (v68 = 0 & v67 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v60 | v62 = v59 |  ~ (unordered_pair(v59, v60) = v61) |  ~ (in(v62, v61) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v60 |  ~ (relation_rng_as_subset(v59, v60, v61) = v62) |  ? [v63] :  ? [v64] : ((v64 = 0 & in(v63, v60) = 0 &  ! [v65] :  ! [v66] : ( ~ (ordered_pair(v65, v63) = v66) |  ~ (in(v66, v61) = 0))) | ( ~ (v63 = 0) & relation_of2_as_subset(v61, v59, v60) = v63))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v60 |  ~ (set_difference(v60, v59) = v61) |  ~ (set_union2(v59, v61) = v62) |  ? [v63] : ( ~ (v63 = 0) & subset(v59, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v60 |  ~ (subset_complement(v59, v61) = v62) |  ~ (subset_complement(v59, v60) = v61) |  ? [v63] :  ? [v64] : ( ~ (v64 = 0) & powerset(v59) = v63 & element(v60, v63) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v60 |  ~ (singleton(v59) = v61) |  ~ (set_union2(v61, v60) = v62) |  ? [v63] : ( ~ (v63 = 0) & in(v59, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v60 |  ~ (relation_dom_as_subset(v60, v59, v61) = v62) |  ? [v63] :  ? [v64] : ((v64 = 0 & in(v63, v60) = 0 &  ! [v65] :  ! [v66] : ( ~ (ordered_pair(v63, v65) = v66) |  ~ (in(v66, v61) = 0))) | ( ~ (v63 = 0) & relation_of2_as_subset(v61, v60, v59) = v63))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v60 |  ~ (apply(v61, v60) = v62) |  ~ (identity_relation(v59) = v61) |  ? [v63] : ( ~ (v63 = 0) & in(v60, v59) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v59 |  ~ (set_difference(v59, v61) = v62) |  ~ (singleton(v60) = v61) | in(v60, v59) = 0) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v59 |  ~ (relation_inverse_image(v60, v59) = v61) |  ~ (relation_image(v60, v61) = v62) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (relation_rng(v60) = v65 & subset(v59, v65) = v66 & relation(v60) = v63 & function(v60) = v64 & ( ~ (v66 = 0) |  ~ (v64 = 0) |  ~ (v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 | v59 = empty_set |  ~ (set_meet(v59) = v60) |  ~ (in(v61, v60) = v62) |  ? [v63] :  ? [v64] : ( ~ (v64 = 0) & in(v63, v59) = 0 & in(v61, v63) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (being_limit_ordinal(v59) = 0) |  ~ (succ(v60) = v61) |  ~ (in(v61, v59) = v62) |  ? [v63] :  ? [v64] : (( ~ (v63 = 0) & ordinal(v59) = v63) | (ordinal(v60) = v63 & in(v60, v59) = v64 & ( ~ (v64 = 0) |  ~ (v63 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (the_InternalRel(v59) = v60) |  ~ (relation_of2_as_subset(v60, v61, v61) = v62) |  ~ (the_carrier(v59) = v61) |  ? [v63] : ( ~ (v63 = 0) & rel_str(v59) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (set_difference(v59, v60) = v61) |  ~ (subset(v61, v59) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (union(v60) = v61) |  ~ (subset(v59, v61) = v62) |  ? [v63] : ( ~ (v63 = 0) & in(v59, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (cast_to_subset(v59) = v60) |  ~ (powerset(v59) = v61) |  ~ (element(v60, v61) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (relation_of2(v61, v59, v60) = v62) |  ? [v63] : ( ~ (v63 = 0) & relation_of2_as_subset(v61, v59, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (singleton(v59) = v61) |  ~ (disjoint(v61, v60) = v62) | in(v59, v60) = 0) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (singleton(v59) = v61) |  ~ (subset(v61, v60) = v62) |  ? [v63] : ( ~ (v63 = 0) & in(v59, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (disjoint(v60, v61) = 0) |  ~ (disjoint(v59, v61) = v62) |  ? [v63] : ( ~ (v63 = 0) & subset(v59, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (relation_rng_restriction(v59, v60) = v61) |  ~ (subset(v61, v60) = v62) |  ? [v63] : ( ~ (v63 = 0) & relation(v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (relation_dom_restriction(v60, v59) = v61) |  ~ (subset(v61, v60) = v62) |  ? [v63] : ( ~ (v63 = 0) & relation(v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (subset(v61, v59) = v62) |  ~ (set_intersection2(v59, v60) = v61)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (subset(v61, v59) = v62) |  ~ (powerset(v59) = v60) |  ? [v63] : ( ~ (v63 = 0) & in(v61, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (subset(v59, v61) = v62) |  ~ (subset(v59, v60) = 0) |  ? [v63] : ( ~ (v63 = 0) & subset(v60, v61) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (subset(v59, v61) = v62) |  ~ (set_union2(v59, v60) = v61)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (unordered_pair(v59, v60) = v61) |  ~ (in(v60, v61) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (unordered_pair(v59, v60) = v61) |  ~ (in(v59, v61) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (powerset(v60) = v61) |  ~ (element(v59, v61) = v62) |  ? [v63] :  ? [v64] : ( ~ (v64 = 0) & in(v63, v60) = v64 & in(v63, v59) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (powerset(v60) = v61) |  ~ (element(v59, v61) = v62) |  ? [v63] : ( ~ (v63 = 0) & subset(v59, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v61 = v60 |  ~ (singleton(v59) = v62) |  ~ (unordered_pair(v60, v61) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v61 = v60 |  ~ (antisymmetric(v59) = 0) |  ~ (ordered_pair(v60, v61) = v62) |  ~ (in(v62, v59) = 0) |  ? [v63] :  ? [v64] : (( ~ (v64 = 0) & ordered_pair(v61, v60) = v63 & in(v63, v59) = v64) | ( ~ (v63 = 0) & relation(v59) = v63))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v61 = 0 |  ~ (relation_isomorphism(v59, v60, v62) = 0) |  ~ (well_ordering(v60) = v61) |  ~ (well_ordering(v59) = 0) |  ? [v63] :  ? [v64] : (( ~ (v63 = 0) & relation(v60) = v63) | ( ~ (v63 = 0) & relation(v59) = v63) | (relation(v62) = v63 & function(v62) = v64 & ( ~ (v64 = 0) |  ~ (v63 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v61 = 0 |  ~ (equipotent(v59, v60) = v61) |  ~ (one_to_one(v62) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (relation_rng(v62) = v66 & relation_dom(v62) = v65 & relation(v62) = v63 & function(v62) = v64 & ( ~ (v66 = v60) |  ~ (v65 = v59) |  ~ (v64 = 0) |  ~ (v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (are_equipotent(v62, v61) = v60) |  ~ (are_equipotent(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (meet_of_subsets(v62, v61) = v60) |  ~ (meet_of_subsets(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (complements_of_subsets(v62, v61) = v60) |  ~ (complements_of_subsets(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (relation_composition(v62, v61) = v60) |  ~ (relation_composition(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (relation_restriction(v62, v61) = v60) |  ~ (relation_restriction(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (well_orders(v62, v61) = v60) |  ~ (well_orders(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (set_difference(v62, v61) = v60) |  ~ (set_difference(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (equipotent(v62, v61) = v60) |  ~ (equipotent(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (is_well_founded_in(v62, v61) = v60) |  ~ (is_well_founded_in(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (is_a_cover_of_carrier(v62, v61) = v60) |  ~ (is_a_cover_of_carrier(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (closed_subsets(v62, v61) = v60) |  ~ (closed_subsets(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (closed_subset(v62, v61) = v60) |  ~ (closed_subset(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (fiber(v62, v61) = v60) |  ~ (fiber(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (open_subsets(v62, v61) = v60) |  ~ (open_subsets(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (subset_complement(v62, v61) = v60) |  ~ (subset_complement(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (is_reflexive_in(v62, v61) = v60) |  ~ (is_reflexive_in(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (union_of_subsets(v62, v61) = v60) |  ~ (union_of_subsets(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (singleton(v60) = v62) |  ~ (singleton(v59) = v61) |  ~ (subset(v61, v62) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (singleton(v59) = v62) |  ~ (unordered_pair(v60, v61) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (interior(v62, v61) = v60) |  ~ (interior(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (is_transitive_in(v62, v61) = v60) |  ~ (is_transitive_in(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (is_connected_in(v62, v61) = v60) |  ~ (is_connected_in(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (topstr_closure(v62, v61) = v60) |  ~ (topstr_closure(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (open_subset(v62, v61) = v60) |  ~ (open_subset(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (disjoint(v62, v61) = v60) |  ~ (disjoint(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (relation_inverse_image(v62, v61) = v60) |  ~ (relation_inverse_image(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (is_antisymmetric_in(v62, v61) = v60) |  ~ (is_antisymmetric_in(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (relation_rng_restriction(v62, v61) = v60) |  ~ (relation_rng_restriction(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (relation_image(v62, v61) = v60) |  ~ (relation_image(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (apply(v62, v61) = v60) |  ~ (apply(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (relation_dom_restriction(v62, v61) = v60) |  ~ (relation_dom_restriction(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (subset(v62, v61) = v60) |  ~ (subset(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (ordered_pair(v62, v61) = v60) |  ~ (ordered_pair(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (ordinal_subset(v62, v61) = v60) |  ~ (ordinal_subset(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (set_intersection2(v62, v61) = v60) |  ~ (set_intersection2(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (set_union2(v62, v61) = v60) |  ~ (set_union2(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (unordered_pair(v62, v61) = v60) |  ~ (unordered_pair(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (cartesian_product2(v62, v61) = v60) |  ~ (cartesian_product2(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (element(v62, v61) = v60) |  ~ (element(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (proper_subset(v62, v61) = v60) |  ~ (proper_subset(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = v59 |  ~ (in(v62, v61) = v60) |  ~ (in(v62, v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = empty_set |  ~ (powerset(v61) = v62) |  ~ (powerset(v59) = v61) |  ~ (element(v60, v62) = 0) |  ? [v63] :  ? [v64] :  ? [v65] : (meet_of_subsets(v59, v63) = v64 & complements_of_subsets(v59, v60) = v63 & subset_complement(v59, v65) = v64 & union_of_subsets(v59, v60) = v65)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = empty_set |  ~ (powerset(v61) = v62) |  ~ (powerset(v59) = v61) |  ~ (element(v60, v62) = 0) |  ? [v63] :  ? [v64] :  ? [v65] : (meet_of_subsets(v59, v60) = v65 & complements_of_subsets(v59, v60) = v63 & subset_complement(v59, v65) = v64 & union_of_subsets(v59, v63) = v64)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v60 = empty_set |  ~ (powerset(v61) = v62) |  ~ (powerset(v59) = v61) |  ~ (element(v60, v62) = 0) |  ? [v63] : ( ~ (v63 = empty_set) & complements_of_subsets(v59, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_rng_as_subset(v59, v60, v61) = v62) |  ? [v63] :  ? [v64] : (relation_of2(v61, v59, v60) = v63 & relation_rng(v61) = v64 & ( ~ (v63 = 0) | v64 = v62))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_rng_as_subset(v59, v60, v61) = v60) |  ~ (in(v62, v60) = 0) |  ? [v63] :  ? [v64] :  ? [v65] : ((v65 = 0 & ordered_pair(v63, v62) = v64 & in(v64, v61) = 0) | ( ~ (v63 = 0) & relation_of2_as_subset(v61, v59, v60) = v63))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_composition(v61, v60) = v62) |  ~ (identity_relation(v59) = v61) |  ? [v63] :  ? [v64] : (relation_dom_restriction(v60, v59) = v64 & relation(v60) = v63 & ( ~ (v63 = 0) | v64 = v62))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (the_InternalRel(v59) = v60) |  ~ (is_transitive_in(v60, v61) = v62) |  ~ (the_carrier(v59) = v61) |  ? [v63] :  ? [v64] : (rel_str(v59) = v63 & transitive_relstr(v59) = v64 & ( ~ (v63 = 0) | (( ~ (v64 = 0) | v62 = 0) & ( ~ (v62 = 0) | v64 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (the_InternalRel(v59) = v60) |  ~ (is_antisymmetric_in(v60, v61) = v62) |  ~ (the_carrier(v59) = v61) |  ? [v63] :  ? [v64] : (antisymmetric_relstr(v59) = v64 & rel_str(v59) = v63 & ( ~ (v63 = 0) | (( ~ (v64 = 0) | v62 = 0) & ( ~ (v62 = 0) | v64 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (set_difference(v61, v60) = v62) |  ~ (set_union2(v59, v60) = v61) | set_difference(v59, v60) = v62) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (set_difference(v60, v59) = v61) |  ~ (set_union2(v59, v61) = v62) | set_union2(v59, v60) = v62) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (set_difference(v59, v61) = v62) |  ~ (set_difference(v59, v60) = v61) | set_intersection2(v59, v60) = v62) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (set_difference(v59, v60) = v61) |  ~ (in(v62, v59) = 0) |  ? [v63] :  ? [v64] : (in(v62, v61) = v64 & in(v62, v60) = v63 & (v64 = 0 | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (the_topology(v59) = v61) |  ~ (the_carrier(v59) = v60) |  ~ (in(v60, v61) = v62) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] :  ? [v73] :  ? [v74] : (topological_space(v59) = v64 & top_str(v59) = v63 & powerset(v65) = v66 & powerset(v60) = v65 & ( ~ (v63 = 0) | (( ~ (v64 = 0) | (v62 = 0 &  ! [v75] : ( ~ (element(v75, v66) = 0) |  ? [v76] :  ? [v77] :  ? [v78] : (union_of_subsets(v60, v75) = v77 & subset(v75, v61) = v76 & in(v77, v61) = v78 & ( ~ (v76 = 0) | v78 = 0))) &  ! [v75] : ( ~ (element(v75, v65) = 0) |  ? [v76] : (in(v75, v61) = v76 &  ! [v77] :  ! [v78] :  ! [v79] : ( ~ (v76 = 0) | v79 = 0 |  ~ (subset_intersection2(v60, v75, v77) = v78) |  ~ (in(v78, v61) = v79) |  ? [v80] :  ? [v81] : (element(v77, v65) = v80 & in(v77, v61) = v81 & ( ~ (v81 = 0) |  ~ (v80 = 0)))))))) & ( ~ (v62 = 0) | v64 = 0 | (v72 = 0 & v71 = 0 & v69 = 0 & v68 = 0 &  ~ (v74 = 0) & subset_intersection2(v60, v67, v70) = v73 & element(v70, v65) = 0 & element(v67, v65) = 0 & in(v73, v61) = v74 & in(v70, v61) = 0 & in(v67, v61) = 0) | (v69 = 0 & v68 = 0 &  ~ (v71 = 0) & union_of_subsets(v60, v67) = v70 & subset(v67, v61) = 0 & element(v67, v66) = 0 & in(v70, v61) = v71)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (succ(v59) = v60) |  ~ (ordinal_subset(v60, v61) = v62) |  ? [v63] :  ? [v64] : (( ~ (v63 = 0) & ordinal(v59) = v63) | (ordinal(v61) = v63 & in(v59, v61) = v64 & ( ~ (v63 = 0) | (( ~ (v64 = 0) | v62 = 0) & ( ~ (v62 = 0) | v64 = 0)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_dom_as_subset(v60, v59, v61) = v60) |  ~ (in(v62, v60) = 0) |  ? [v63] :  ? [v64] :  ? [v65] : ((v65 = 0 & ordered_pair(v62, v63) = v64 & in(v64, v61) = 0) | ( ~ (v63 = 0) & relation_of2_as_subset(v61, v60, v59) = v63))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_dom_as_subset(v59, v60, v61) = v62) |  ? [v63] :  ? [v64] : (relation_of2(v61, v59, v60) = v63 & relation_dom(v61) = v64 & ( ~ (v63 = 0) | v64 = v62))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_dom_as_subset(v59, v60, v61) = v62) |  ? [v63] :  ? [v64] : (relation_of2_as_subset(v61, v59, v60) = v63 & quasi_total(v61, v59, v60) = v64 & ( ~ (v63 = 0) | (( ~ (v60 = empty_set) | v59 = empty_set | (( ~ (v64 = 0) | v61 = empty_set) & ( ~ (v61 = empty_set) | v64 = 0))) & ((v60 = empty_set &  ~ (v59 = empty_set)) | (( ~ (v64 = 0) | v62 = v59) & ( ~ (v62 = v59) | v64 = 0))))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (quasi_total(v61, empty_set, v60) = v62) |  ~ (quasi_total(v61, empty_set, v59) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (relation_of2_as_subset(v61, empty_set, v60) = v66 & relation_of2_as_subset(v61, empty_set, v59) = v64 & subset(v59, v60) = v65 & function(v61) = v63 & ( ~ (v65 = 0) |  ~ (v64 = 0) |  ~ (v63 = 0) | (v66 = 0 & v62 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_rng(v60) = v61) |  ~ (set_intersection2(v61, v59) = v62) |  ? [v63] :  ? [v64] :  ? [v65] : (relation_rng(v64) = v65 & relation_rng_restriction(v59, v60) = v64 & relation(v60) = v63 & ( ~ (v63 = 0) | v65 = v62))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_rng(v59) = v61) |  ~ (relation_dom(v59) = v60) |  ~ (set_union2(v60, v61) = v62) |  ? [v63] :  ? [v64] : (relation_field(v59) = v64 & relation(v59) = v63 & ( ~ (v63 = 0) | v64 = v62))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_rng(v59) = v60) |  ~ (relation_image(v61, v60) = v62) |  ? [v63] :  ? [v64] :  ? [v65] : (( ~ (v63 = 0) & relation(v59) = v63) | (relation_composition(v59, v61) = v64 & relation_rng(v64) = v65 & relation(v61) = v63 & ( ~ (v63 = 0) | v65 = v62)))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_inverse_image(v59, v60) = v61) |  ~ (relation(v59) = 0) |  ~ (in(v62, v61) = 0) |  ? [v63] :  ? [v64] : (ordered_pair(v62, v63) = v64 & in(v64, v59) = 0 & in(v63, v60) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_rng_restriction(v59, v61) = v62) |  ~ (relation_dom_restriction(v60, v59) = v61) |  ? [v63] :  ? [v64] : (relation_restriction(v60, v59) = v64 & relation(v60) = v63 & ( ~ (v63 = 0) | v64 = v62))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_rng_restriction(v59, v60) = v61) |  ~ (relation_dom_restriction(v61, v59) = v62) |  ? [v63] :  ? [v64] : (relation_restriction(v60, v59) = v64 & relation(v60) = v63 & ( ~ (v63 = 0) | v64 = v62))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_dom(v60) = v61) |  ~ (set_intersection2(v61, v59) = v62) |  ? [v63] :  ? [v64] :  ? [v65] : (relation_dom(v64) = v65 & relation_dom_restriction(v60, v59) = v64 & relation(v60) = v63 & ( ~ (v63 = 0) | v65 = v62))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_dom(v60) = v61) |  ~ (in(v59, v61) = v62) |  ? [v63] :  ? [v64] :  ? [v65] : (apply(v60, v59) = v65 & relation(v60) = v63 & function(v60) = v64 & ( ~ (v64 = 0) |  ~ (v63 = 0) |  ! [v66] :  ! [v67] :  ! [v68] : ( ~ (v62 = 0) |  ~ (relation_composition(v60, v66) = v67) |  ~ (apply(v67, v59) = v68) |  ? [v69] :  ? [v70] :  ? [v71] : (apply(v66, v65) = v71 & relation(v66) = v69 & function(v66) = v70 & ( ~ (v70 = 0) |  ~ (v69 = 0) | v71 = v68)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (relation_image(v59, v60) = v61) |  ~ (relation(v59) = 0) |  ~ (in(v62, v61) = 0) |  ? [v63] :  ? [v64] : (ordered_pair(v63, v62) = v64 & in(v64, v59) = 0 & in(v63, v60) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (subset(v62, v61) = 0) |  ~ (unordered_pair(v59, v60) = v62) | (in(v60, v61) = 0 & in(v59, v61) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (subset(v61, v62) = 0) |  ~ (cartesian_product2(v59, v60) = v62) | relation_of2(v61, v59, v60) = 0) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (set_intersection2(v59, v61) = v62) |  ~ (cartesian_product2(v60, v60) = v61) |  ~ (relation(v59) = 0) | relation_restriction(v59, v60) = v62) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (set_intersection2(v59, v60) = v61) |  ~ (in(v62, v59) = 0) |  ? [v63] :  ? [v64] : (in(v62, v61) = v64 & in(v62, v60) = v63 & ( ~ (v63 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (the_carrier(v59) = v62) |  ~ (element(v61, v62) = 0) |  ~ (element(v60, v62) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (meet(v59, v60, v61) = v67 & meet_commutative(v59) = v64 & meet_semilatt_str(v59) = v65 & meet_commut(v59, v60, v61) = v66 & empty_carrier(v59) = v63 & ( ~ (v65 = 0) |  ~ (v64 = 0) | v67 = v66 | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (the_carrier(v59) = v62) |  ~ (element(v61, v62) = 0) |  ~ (element(v60, v62) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (join(v59, v60, v61) = v67 & empty_carrier(v59) = v63 & join_commutative(v59) = v64 & join_semilatt_str(v59) = v65 & join_commut(v59, v60, v61) = v66 & ( ~ (v65 = 0) |  ~ (v64 = 0) | v67 = v66 | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (the_carrier(v59) = v62) |  ~ (element(v61, v62) = 0) |  ~ (element(v60, v62) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (meet_commutative(v59) = v64 & meet_semilatt_str(v59) = v65 & meet_commut(v59, v61, v60) = v67 & meet_commut(v59, v60, v61) = v66 & empty_carrier(v59) = v63 & ( ~ (v65 = 0) |  ~ (v64 = 0) | v67 = v66 | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (the_carrier(v59) = v62) |  ~ (element(v61, v62) = 0) |  ~ (element(v60, v62) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (empty_carrier(v59) = v63 & join_commutative(v59) = v64 & join_semilatt_str(v59) = v65 & join_commut(v59, v61, v60) = v67 & join_commut(v59, v60, v61) = v66 & ( ~ (v65 = 0) |  ~ (v64 = 0) | v67 = v66 | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v62) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (topological_space(v59) = v63 & top_str(v59) = v64 & powerset(v62) = v65 & ( ~ (v64 = 0) |  ~ (v63 = 0) | (v67 = 0 & element(v66, v65) = 0 &  ! [v68] : ( ~ (element(v68, v62) = 0) |  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] :  ? [v73] : (subset(v60, v68) = v70 & in(v68, v66) = v69 & ( ~ (v70 = 0) | v69 = 0 |  ? [v74] : ( ~ (v74 = 0) & closed_subset(v68, v59) = v74)) & ( ~ (v69 = 0) | (v73 = 0 & v72 = 0 & v71 = v68 & v70 = 0 & closed_subset(v68, v59) = 0)))))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v62) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (closed_subset(v65, v59) = v66 & topological_space(v59) = v63 & top_str(v59) = v64 & topstr_closure(v59, v60) = v65 & ( ~ (v64 = 0) |  ~ (v63 = 0) | v66 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v62) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (topological_space(v59) = v63 & interior(v59, v60) = v65 & top_str(v59) = v64 & open_subset(v65, v59) = v66 & ( ~ (v64 = 0) |  ~ (v63 = 0) | v66 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v62) = 0) |  ? [v63] :  ? [v64] : ((topological_space(v59) = v63 & top_str(v59) = v64 & ( ~ (v64 = 0) |  ~ (v63 = 0))) | ( ! [v65] :  ! [v66] : ( ~ (subset(v60, v65) = v66) |  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] : ((v71 = 0 & v70 = 0 & v69 = v65 & v68 = 0 & v67 = v65 & v66 = 0 & closed_subset(v65, v59) = 0 & element(v65, v62) = 0 & in(v65, v62) = 0) | ( ~ (v67 = 0) & in(v65, v63) = v67))) &  ! [v65] : ( ~ (subset(v60, v65) = 0) |  ~ (element(v65, v62) = 0) |  ~ (in(v65, v62) = 0) |  ? [v66] : ((v66 = 0 & in(v65, v63) = 0) | ( ~ (v66 = 0) & closed_subset(v65, v59) = v66)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (the_carrier(v59) = v61) |  ~ (powerset(v61) = v62) |  ~ (element(v60, v62) = 0) |  ? [v63] :  ? [v64] : ((topological_space(v59) = v63 & top_str(v59) = v64 & ( ~ (v64 = 0) |  ~ (v63 = 0))) | ( ! [v65] :  ! [v66] : ( ~ (in(v65, v62) = v66) |  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] : (subset(v60, v65) = v68 & in(v65, v63) = v67 & ( ~ (v67 = 0) | (v71 = 0 & v70 = 0 & v69 = v65 & v68 = 0 & v66 = 0 & closed_subset(v65, v59) = 0 & element(v65, v62) = 0)))) &  ! [v65] : ( ~ (in(v65, v62) = 0) |  ? [v66] :  ? [v67] : (subset(v60, v65) = v66 & in(v65, v63) = v67 & ( ~ (v66 = 0) | v67 = 0 |  ~ (element(v65, v62) = 0) |  ? [v68] : ( ~ (v68 = 0) & closed_subset(v65, v59) = v68))))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (cartesian_product2(v59, v60) = v61) |  ~ (in(v62, v61) = 0) |  ? [v63] :  ? [v64] : (ordered_pair(v63, v64) = v62 & in(v64, v60) = 0 & in(v63, v59) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (cartesian_product2(v59, v59) = v62) |  ~ (relation(v60) = 0) |  ~ (function(v61) = 0) |  ? [v63] : (( ~ (v63 = 0) & relation(v61) = v63) | ( ! [v64] :  ! [v65] :  ! [v66] :  ! [v67] :  ! [v68] :  ! [v69] :  ! [v70] : (v65 = 0 |  ~ (apply(v61, v67) = v69) |  ~ (apply(v61, v66) = v68) |  ~ (ordered_pair(v68, v69) = v70) |  ~ (in(v70, v60) = 0) |  ~ (in(v64, v63) = v65) |  ~ (in(v64, v62) = 0) |  ? [v71] : ( ~ (v71 = v64) & ordered_pair(v66, v67) = v71)) &  ! [v64] : ( ~ (in(v64, v63) = 0) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (apply(v61, v66) = v68 & apply(v61, v65) = v67 & ordered_pair(v67, v68) = v69 & ordered_pair(v65, v66) = v64 & in(v69, v60) = 0 & in(v64, v62) = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (cartesian_product2(v59, v59) = v62) |  ~ (relation(v60) = 0) |  ~ (function(v61) = 0) |  ? [v63] : (( ~ (v63 = 0) & relation(v61) = v63) | ( ! [v64] :  ! [v65] :  ! [v66] :  ! [v67] :  ! [v68] :  ! [v69] : ( ~ (apply(v61, v66) = v68) |  ~ (apply(v61, v65) = v67) |  ~ (ordered_pair(v67, v68) = v69) |  ~ (in(v69, v60) = 0) |  ~ (in(v64, v62) = 0) |  ? [v70] : ((v70 = 0 & in(v64, v63) = 0) | ( ~ (v70 = v64) & ordered_pair(v65, v66) = v70))) &  ! [v64] :  ! [v65] : (v65 = 0 |  ~ (in(v64, v62) = v65) |  ? [v66] : ( ~ (v66 = 0) & in(v64, v63) = v66)) &  ! [v64] :  ! [v65] : ( ~ (in(v64, v62) = v65) |  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] : ((v72 = 0 & v68 = v64 & apply(v61, v67) = v70 & apply(v61, v66) = v69 & ordered_pair(v69, v70) = v71 & ordered_pair(v66, v67) = v64 & in(v71, v60) = 0) | ( ~ (v66 = 0) & in(v64, v63) = v66)))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (powerset(v61) = v62) |  ~ (powerset(v59) = v61) |  ~ (element(v60, v62) = 0) |  ? [v63] : (meet_of_subsets(v59, v60) = v63 & set_meet(v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (powerset(v61) = v62) |  ~ (powerset(v59) = v61) |  ~ (element(v60, v62) = 0) |  ? [v63] : (complements_of_subsets(v59, v63) = v60 & complements_of_subsets(v59, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (powerset(v61) = v62) |  ~ (powerset(v59) = v61) |  ~ (element(v60, v62) = 0) |  ? [v63] : (complements_of_subsets(v59, v60) = v63 &  ! [v64] : (v64 = v63 |  ~ (element(v64, v62) = 0) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (subset_complement(v59, v65) = v67 & element(v65, v61) = 0 & in(v67, v60) = v68 & in(v65, v64) = v66 & ( ~ (v68 = 0) |  ~ (v66 = 0)) & (v68 = 0 | v66 = 0))) &  ! [v64] : ( ~ (element(v64, v61) = 0) |  ~ (element(v63, v62) = 0) |  ? [v65] :  ? [v66] :  ? [v67] : (subset_complement(v59, v64) = v66 & in(v66, v60) = v67 & in(v64, v63) = v65 & ( ~ (v67 = 0) | v65 = 0) & ( ~ (v65 = 0) | v67 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (powerset(v61) = v62) |  ~ (powerset(v59) = v61) |  ~ (element(v60, v62) = 0) |  ? [v63] : (complements_of_subsets(v59, v60) = v63 & ( ~ (v63 = empty_set) | v60 = empty_set) & ( ~ (v60 = empty_set) | v63 = empty_set))) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (powerset(v61) = v62) |  ~ (powerset(v59) = v61) |  ~ (element(v60, v62) = 0) |  ? [v63] : (union(v60) = v63 & union_of_subsets(v59, v60) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (powerset(v61) = v62) |  ~ (element(v60, v62) = 0) |  ~ (in(v59, v60) = 0) |  ? [v63] : ( ~ (v63 = 0) & empty(v61) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (powerset(v59) = v62) |  ~ (element(v61, v62) = 0) |  ~ (element(v60, v62) = 0) | subset_intersection2(v59, v60, v60) = v60) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (powerset(v59) = v62) |  ~ (element(v61, v62) = 0) |  ~ (element(v60, v62) = 0) |  ? [v63] : (subset_difference(v59, v60, v61) = v63 & set_difference(v60, v61) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (powerset(v59) = v62) |  ~ (element(v61, v62) = 0) |  ~ (element(v60, v62) = 0) |  ? [v63] : (subset_intersection2(v59, v61, v60) = v63 & subset_intersection2(v59, v60, v61) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (powerset(v59) = v62) |  ~ (element(v61, v62) = 0) |  ~ (element(v60, v62) = 0) |  ? [v63] : (subset_intersection2(v59, v60, v61) = v63 & set_intersection2(v60, v61) = v63)) &  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] : ( ~ (powerset(v59) = v62) |  ~ (element(v61, v62) = 0) |  ~ (in(v60, v61) = 0) |  ? [v63] :  ? [v64] : ( ~ (v64 = 0) & subset_complement(v59, v61) = v63 & in(v60, v63) = v64)) &  ? [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v59 |  ~ (set_difference(v60, v61) = v62) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (in(v63, v61) = v66 & in(v63, v60) = v65 & in(v63, v59) = v64 & ( ~ (v65 = 0) |  ~ (v64 = 0) | v66 = 0) & (v64 = 0 | (v65 = 0 &  ~ (v66 = 0))))) &  ? [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v59 |  ~ (fiber(v60, v61) = v62) |  ~ (relation(v60) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (ordered_pair(v63, v61) = v65 & in(v65, v60) = v66 & in(v63, v59) = v64 & ( ~ (v66 = 0) |  ~ (v64 = 0) | v63 = v61) & (v64 = 0 | (v66 = 0 &  ~ (v63 = v61))))) &  ? [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v59 |  ~ (relation_inverse_image(v60, v61) = v62) |  ~ (relation(v60) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (in(v63, v59) = v64 & ( ~ (v64 = 0) |  ! [v69] :  ! [v70] : ( ~ (ordered_pair(v63, v69) = v70) |  ~ (in(v70, v60) = 0) |  ? [v71] : ( ~ (v71 = 0) & in(v69, v61) = v71))) & (v64 = 0 | (v68 = 0 & v67 = 0 & ordered_pair(v63, v65) = v66 & in(v66, v60) = 0 & in(v65, v61) = 0)))) &  ? [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v59 |  ~ (relation_image(v60, v61) = v62) |  ~ (relation(v60) = 0) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (in(v63, v59) = v64 & ( ~ (v64 = 0) |  ! [v69] :  ! [v70] : ( ~ (ordered_pair(v69, v63) = v70) |  ~ (in(v70, v60) = 0) |  ? [v71] : ( ~ (v71 = 0) & in(v69, v61) = v71))) & (v64 = 0 | (v68 = 0 & v67 = 0 & ordered_pair(v65, v63) = v66 & in(v66, v60) = 0 & in(v65, v61) = 0)))) &  ? [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v59 |  ~ (set_intersection2(v60, v61) = v62) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (in(v63, v61) = v66 & in(v63, v60) = v65 & in(v63, v59) = v64 & ( ~ (v66 = 0) |  ~ (v65 = 0) |  ~ (v64 = 0)) & (v64 = 0 | (v66 = 0 & v65 = 0)))) &  ? [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v59 |  ~ (set_union2(v60, v61) = v62) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (in(v63, v61) = v66 & in(v63, v60) = v65 & in(v63, v59) = v64 & ( ~ (v64 = 0) | ( ~ (v66 = 0) &  ~ (v65 = 0))) & (v66 = 0 | v65 = 0 | v64 = 0))) &  ? [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v59 |  ~ (unordered_pair(v60, v61) = v62) |  ? [v63] :  ? [v64] : (in(v63, v59) = v64 & ( ~ (v64 = 0) | ( ~ (v63 = v61) &  ~ (v63 = v60))) & (v64 = 0 | v63 = v61 | v63 = v60))) &  ? [v59] :  ! [v60] :  ! [v61] :  ! [v62] : (v62 = v59 |  ~ (cartesian_product2(v60, v61) = v62) |  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (in(v63, v59) = v64 & ( ~ (v64 = 0) |  ! [v70] :  ! [v71] : ( ~ (ordered_pair(v70, v71) = v63) |  ? [v72] :  ? [v73] : (in(v71, v61) = v73 & in(v70, v60) = v72 & ( ~ (v73 = 0) |  ~ (v72 = 0))))) & (v64 = 0 | (v69 = v63 & v68 = 0 & v67 = 0 & ordered_pair(v65, v66) = v63 & in(v66, v61) = 0 & in(v65, v60) = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = v60 |  ~ (relation_inverse(v59) = v60) |  ~ (relation(v61) = 0) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (( ~ (v62 = 0) & relation(v59) = v62) | (ordered_pair(v63, v62) = v66 & ordered_pair(v62, v63) = v64 & in(v66, v59) = v67 & in(v64, v61) = v65 & ( ~ (v67 = 0) |  ~ (v65 = 0)) & (v67 = 0 | v65 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = v60 |  ~ (inclusion_relation(v59) = v61) |  ~ (relation_field(v60) = v59) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : ((v65 = 0 & v64 = 0 & subset(v62, v63) = v68 & ordered_pair(v62, v63) = v66 & in(v66, v60) = v67 & in(v63, v59) = 0 & in(v62, v59) = 0 & ( ~ (v68 = 0) |  ~ (v67 = 0)) & (v68 = 0 | v67 = 0)) | ( ~ (v62 = 0) & relation(v60) = v62))) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = v60 |  ~ (identity_relation(v59) = v61) |  ~ (relation(v60) = 0) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (ordered_pair(v62, v63) = v64 & in(v64, v60) = v65 & in(v62, v59) = v66 & ( ~ (v66 = 0) |  ~ (v65 = 0) |  ~ (v63 = v62)) & (v65 = 0 | (v66 = 0 & v63 = v62)))) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = v60 |  ~ (set_union2(v59, v60) = v61) |  ? [v62] : ( ~ (v62 = 0) & subset(v59, v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = v60 |  ~ (epsilon_connected(v59) = 0) |  ~ (in(v61, v59) = 0) |  ~ (in(v60, v59) = 0) |  ? [v62] :  ? [v63] : (in(v61, v60) = v63 & in(v60, v61) = v62 & (v63 = 0 | v62 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = v59 | v59 = empty_set |  ~ (singleton(v60) = v61) |  ~ (subset(v59, v61) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = v59 |  ~ (inclusion_relation(v59) = v60) |  ~ (relation_field(v60) = v61) |  ? [v62] : ( ~ (v62 = 0) & relation(v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = v59 |  ~ (singleton(v59) = v60) |  ~ (in(v61, v60) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = v59 |  ~ (set_intersection2(v59, v60) = v61) |  ? [v62] : ( ~ (v62 = 0) & subset(v59, v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = empty_set |  ~ (set_difference(v59, v60) = v61) |  ? [v62] : ( ~ (v62 = 0) & subset(v59, v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = empty_set |  ~ (is_well_founded_in(v59, v60) = 0) |  ~ (subset(v61, v60) = 0) |  ~ (relation(v59) = 0) |  ? [v62] :  ? [v63] : (fiber(v59, v62) = v63 & disjoint(v63, v61) = 0 & in(v62, v61) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 | v60 = v59 |  ~ (proper_subset(v59, v60) = v61) |  ? [v62] : ( ~ (v62 = 0) & subset(v59, v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (are_equipotent(v59, v60) = v61) |  ? [v62] : ( ~ (v62 = 0) & equipotent(v59, v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (is_well_founded_in(v59, v60) = v61) |  ~ (relation(v59) = 0) |  ? [v62] : ( ~ (v62 = empty_set) & subset(v62, v60) = 0 &  ! [v63] :  ! [v64] : ( ~ (fiber(v59, v63) = v64) |  ~ (disjoint(v64, v62) = 0) |  ? [v65] : ( ~ (v65 = 0) & in(v63, v62) = v65)))) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (cast_as_carrier_subset(v59) = v60) |  ~ (closed_subset(v60, v59) = v61) |  ? [v62] :  ? [v63] : (topological_space(v59) = v62 & top_str(v59) = v63 & ( ~ (v63 = 0) |  ~ (v62 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (is_reflexive_in(v59, v60) = v61) |  ~ (relation(v59) = 0) |  ? [v62] :  ? [v63] :  ? [v64] : ( ~ (v64 = 0) & ordered_pair(v62, v62) = v63 & in(v63, v59) = v64 & in(v62, v60) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (singleton(v60) = v59) |  ~ (subset(v59, v59) = v61)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (singleton(v59) = v60) |  ~ (subset(empty_set, v60) = v61)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (singleton(v59) = v60) |  ~ (in(v59, v60) = v61)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (succ(v59) = v60) |  ~ (in(v59, v60) = v61)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (is_transitive_in(v59, v60) = v61) |  ~ (relation(v59) = 0) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : ( ~ (v68 = 0) & ordered_pair(v63, v64) = v66 & ordered_pair(v62, v64) = v67 & ordered_pair(v62, v63) = v65 & in(v67, v59) = v68 & in(v66, v59) = 0 & in(v65, v59) = 0 & in(v64, v60) = 0 & in(v63, v60) = 0 & in(v62, v60) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (is_connected_in(v59, v60) = v61) |  ~ (relation(v59) = 0) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : ( ~ (v67 = 0) &  ~ (v65 = 0) &  ~ (v63 = v62) & ordered_pair(v63, v62) = v66 & ordered_pair(v62, v63) = v64 & in(v66, v59) = v67 & in(v64, v59) = v65 & in(v63, v60) = 0 & in(v62, v60) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (disjoint(v59, v60) = v61) |  ? [v62] :  ? [v63] : (set_intersection2(v59, v60) = v62 & in(v63, v62) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (disjoint(v59, v60) = v61) |  ? [v62] : ( ~ (v62 = v59) & set_difference(v59, v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (disjoint(v59, v60) = v61) |  ? [v62] : ( ~ (v62 = empty_set) & set_intersection2(v59, v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (disjoint(v59, v60) = v61) |  ? [v62] : (in(v62, v60) = 0 & in(v62, v59) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (is_antisymmetric_in(v59, v60) = v61) |  ~ (relation(v59) = 0) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : ( ~ (v63 = v62) & ordered_pair(v63, v62) = v65 & ordered_pair(v62, v63) = v64 & in(v65, v59) = 0 & in(v64, v59) = 0 & in(v63, v60) = 0 & in(v62, v60) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (subset(v60, v59) = v61) |  ~ (epsilon_transitive(v59) = 0) |  ? [v62] : ( ~ (v62 = 0) & in(v60, v59) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (subset(v59, v60) = v61) |  ~ (relation(v59) = 0) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : ((v65 = 0 &  ~ (v66 = 0) & ordered_pair(v62, v63) = v64 & in(v64, v60) = v66 & in(v64, v59) = 0) | ( ~ (v62 = 0) & relation(v60) = v62))) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (subset(v59, v60) = v61) |  ? [v62] :  ? [v63] : ( ~ (v63 = 0) & in(v62, v60) = v63 & in(v62, v59) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (ordinal_subset(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (ordinal_subset(v60, v59) = v64 & ordinal(v60) = v63 & ordinal(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (ordinal_subset(v59, v59) = v61) |  ~ (ordinal(v60) = 0) |  ? [v62] : ( ~ (v62 = 0) & ordinal(v59) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (relation(v60) = 0) |  ~ (empty(v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : ((v69 = 0 & v68 = v62 & v67 = 0 & v66 = v62 & v65 = 0 &  ~ (v64 = v63) & in(v64, v62) = 0 & in(v63, v62) = 0 & in(v62, v59) = 0 &  ! [v70] :  ! [v71] :  ! [v72] : (v72 = 0 |  ~ (ordered_pair(v64, v70) = v71) |  ~ (in(v71, v60) = v72) |  ? [v73] : ( ~ (v73 = 0) & in(v70, v62) = v73)) &  ! [v70] :  ! [v71] :  ! [v72] : (v72 = 0 |  ~ (ordered_pair(v63, v70) = v71) |  ~ (in(v71, v60) = v72) |  ? [v73] : ( ~ (v73 = 0) & in(v70, v62) = v73))) | (v65 = v59 & v64 = 0 & v63 = 0 & relation_dom(v62) = v59 & relation(v62) = 0 & function(v62) = 0 &  ! [v70] :  ! [v71] : ( ~ (apply(v62, v70) = v71) |  ? [v72] :  ? [v73] : ((v73 = 0 & v72 = v70 & in(v71, v70) = 0 &  ! [v74] :  ! [v75] :  ! [v76] : (v76 = 0 |  ~ (ordered_pair(v71, v74) = v75) |  ~ (in(v75, v60) = v76) |  ? [v77] : ( ~ (v77 = 0) & in(v74, v70) = v77))) | ( ~ (v72 = 0) & in(v70, v59) = v72)))) | (v63 = 0 & in(v62, v59) = 0 &  ! [v70] : ( ~ (in(v70, v62) = 0) |  ? [v71] :  ? [v72] :  ? [v73] : ( ~ (v73 = 0) & ordered_pair(v70, v71) = v72 & in(v72, v60) = v73 & in(v71, v62) = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (relation(v60) = 0) |  ~ (empty(v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : ((v69 = 0 & v68 = v62 & v67 = 0 & v66 = v62 & v65 = 0 &  ~ (v64 = v63) & in(v64, v62) = 0 & in(v63, v62) = 0 & in(v62, v59) = 0 &  ! [v70] :  ! [v71] :  ! [v72] : (v72 = 0 |  ~ (ordered_pair(v64, v70) = v71) |  ~ (in(v71, v60) = v72) |  ? [v73] : ( ~ (v73 = 0) & in(v70, v62) = v73)) &  ! [v70] :  ! [v71] :  ! [v72] : (v72 = 0 |  ~ (ordered_pair(v63, v70) = v71) |  ~ (in(v71, v60) = v72) |  ? [v73] : ( ~ (v73 = 0) & in(v70, v62) = v73))) | (v64 = 0 & v63 = 0 & relation(v62) = 0 & function(v62) = 0 &  ! [v70] :  ! [v71] :  ! [v72] :  ! [v73] : (v73 = 0 |  ~ (ordered_pair(v70, v71) = v72) |  ~ (in(v72, v62) = v73) |  ~ (in(v71, v70) = 0) |  ? [v74] :  ? [v75] :  ? [v76] :  ? [v77] : ((v75 = 0 &  ~ (v77 = 0) & ordered_pair(v71, v74) = v76 & in(v76, v60) = v77 & in(v74, v70) = 0) | ( ~ (v74 = 0) & in(v70, v59) = v74))) &  ! [v70] :  ! [v71] :  ! [v72] : ( ~ (ordered_pair(v70, v71) = v72) |  ~ (in(v72, v62) = 0) | in(v70, v59) = 0) &  ! [v70] :  ! [v71] :  ! [v72] : ( ~ (ordered_pair(v70, v71) = v72) |  ~ (in(v72, v62) = 0) | (in(v71, v70) = 0 &  ! [v73] :  ! [v74] :  ! [v75] : (v75 = 0 |  ~ (ordered_pair(v71, v73) = v74) |  ~ (in(v74, v60) = v75) |  ? [v76] : ( ~ (v76 = 0) & in(v73, v70) = v76))))))) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (relation(v60) = 0) |  ~ (empty(v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : ((v69 = 0 & v68 = v62 & v67 = 0 & v66 = v62 & v65 = 0 &  ~ (v64 = v63) & in(v64, v62) = 0 & in(v63, v62) = 0 & in(v62, v59) = 0 &  ! [v70] :  ! [v71] :  ! [v72] : (v72 = 0 |  ~ (ordered_pair(v64, v70) = v71) |  ~ (in(v71, v60) = v72) |  ? [v73] : ( ~ (v73 = 0) & in(v70, v62) = v73)) &  ! [v70] :  ! [v71] :  ! [v72] : (v72 = 0 |  ~ (ordered_pair(v63, v70) = v71) |  ~ (in(v71, v60) = v72) |  ? [v73] : ( ~ (v73 = 0) & in(v70, v62) = v73))) | ( ! [v70] :  ! [v71] :  ! [v72] : (v71 = 0 |  ~ (in(v72, v59) = 0) |  ~ (in(v70, v72) = 0) |  ~ (in(v70, v62) = v71) |  ? [v73] :  ? [v74] :  ? [v75] : ( ~ (v75 = 0) & ordered_pair(v70, v73) = v74 & in(v74, v60) = v75 & in(v73, v72) = 0)) &  ! [v70] : ( ~ (in(v70, v62) = 0) |  ? [v71] : (in(v71, v59) = 0 & in(v70, v71) = 0 &  ! [v72] :  ! [v73] :  ! [v74] : (v74 = 0 |  ~ (ordered_pair(v70, v72) = v73) |  ~ (in(v73, v60) = v74) |  ? [v75] : ( ~ (v75 = 0) & in(v72, v71) = v75))))))) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (finite(v60) = 0) |  ~ (finite(v59) = v61) |  ? [v62] : ( ~ (v62 = 0) & subset(v59, v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (ordinal(v60) = 0) |  ~ (ordinal(v59) = v61) |  ? [v62] : ( ~ (v62 = 0) & in(v59, v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (v1_membered(v59) = 0) |  ~ (v1_xcmplx_0(v60) = v61) |  ? [v62] : ( ~ (v62 = 0) & element(v60, v59) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v61 = 0 |  ~ (element(v59, v60) = v61) |  ? [v62] : ( ~ (v62 = 0) & in(v59, v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (relation_empty_yielding(v61) = v60) |  ~ (relation_empty_yielding(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (function_inverse(v61) = v60) |  ~ (function_inverse(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (meet_absorbing(v61) = v60) |  ~ (meet_absorbing(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (latt_str(v61) = v60) |  ~ (latt_str(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (relation_inverse(v61) = v60) |  ~ (relation_inverse(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (antisymmetric_relstr(v61) = v60) |  ~ (antisymmetric_relstr(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (being_limit_ordinal(v61) = v60) |  ~ (being_limit_ordinal(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (the_InternalRel(v61) = v60) |  ~ (the_InternalRel(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (rel_str(v61) = v60) |  ~ (rel_str(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (transitive_relstr(v61) = v60) |  ~ (transitive_relstr(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (well_ordering(v61) = v60) |  ~ (well_ordering(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (reflexive(v61) = v60) |  ~ (reflexive(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (union(v61) = v60) |  ~ (union(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (cast_to_subset(v61) = v60) |  ~ (cast_to_subset(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (cast_as_carrier_subset(v61) = v60) |  ~ (cast_as_carrier_subset(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (compact_top_space(v61) = v60) |  ~ (compact_top_space(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (well_founded_relation(v61) = v60) |  ~ (well_founded_relation(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (empty_carrier_subset(v61) = v60) |  ~ (empty_carrier_subset(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (pair_second(v61) = v60) |  ~ (pair_second(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (the_L_meet(v61) = v60) |  ~ (the_L_meet(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (centered(v61) = v60) |  ~ (centered(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (inclusion_relation(v61) = v60) |  ~ (inclusion_relation(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (one_sorted_str(v61) = v60) |  ~ (one_sorted_str(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (set_meet(v61) = v60) |  ~ (set_meet(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (the_topology(v61) = v60) |  ~ (the_topology(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (singleton(v61) = v60) |  ~ (singleton(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (succ(v61) = v60) |  ~ (succ(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (pair_first(v61) = v60) |  ~ (pair_first(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (the_L_join(v61) = v60) |  ~ (the_L_join(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (relation_rng(v61) = v60) |  ~ (relation_rng(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (topological_space(v61) = v60) |  ~ (topological_space(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (transitive(v61) = v60) |  ~ (transitive(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (connected(v61) = v60) |  ~ (connected(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (top_str(v61) = v60) |  ~ (top_str(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (relation_field(v61) = v60) |  ~ (relation_field(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (antisymmetric(v61) = v60) |  ~ (antisymmetric(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (relation_dom(v61) = v60) |  ~ (relation_dom(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (identity_relation(v61) = v60) |  ~ (identity_relation(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (meet_commutative(v61) = v60) |  ~ (meet_commutative(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (meet_semilatt_str(v61) = v60) |  ~ (meet_semilatt_str(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (the_carrier(v61) = v60) |  ~ (the_carrier(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (empty_carrier(v61) = v60) |  ~ (empty_carrier(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (join_commutative(v61) = v60) |  ~ (join_commutative(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (join_semilatt_str(v61) = v60) |  ~ (join_semilatt_str(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (one_to_one(v61) = v60) |  ~ (one_to_one(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (relation(v61) = v60) |  ~ (relation(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (function(v61) = v60) |  ~ (function(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (preboolean(v61) = v60) |  ~ (preboolean(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (cup_closed(v61) = v60) |  ~ (cup_closed(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (diff_closed(v61) = v60) |  ~ (diff_closed(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (finite(v61) = v60) |  ~ (finite(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (epsilon_connected(v61) = v60) |  ~ (epsilon_connected(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (epsilon_transitive(v61) = v60) |  ~ (epsilon_transitive(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (ordinal(v61) = v60) |  ~ (ordinal(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (powerset(v61) = v60) |  ~ (powerset(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (empty(v61) = v60) |  ~ (empty(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (v5_membered(v61) = v60) |  ~ (v5_membered(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (natural(v61) = v60) |  ~ (natural(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (v4_membered(v61) = v60) |  ~ (v4_membered(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (v1_int_1(v61) = v60) |  ~ (v1_int_1(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (v3_membered(v61) = v60) |  ~ (v3_membered(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (v1_rat_1(v61) = v60) |  ~ (v1_rat_1(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (v2_membered(v61) = v60) |  ~ (v2_membered(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (v1_xreal_0(v61) = v60) |  ~ (v1_xreal_0(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (v1_membered(v61) = v60) |  ~ (v1_membered(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = v59 |  ~ (v1_xcmplx_0(v61) = v60) |  ~ (v1_xcmplx_0(v61) = v59)) &  ! [v59] :  ! [v60] :  ! [v61] : (v60 = 0 |  ~ (relation_rng(v61) = v59) |  ~ (finite(v59) = v60) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (relation_dom(v61) = v64 & relation(v61) = v62 & function(v61) = v63 & in(v64, omega) = v65 & ( ~ (v65 = 0) |  ~ (v63 = 0) |  ~ (v62 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : (v59 = empty_set |  ~ (relation_rng(v60) = v61) |  ~ (subset(v59, v61) = 0) |  ? [v62] :  ? [v63] : (relation_inverse_image(v60, v59) = v63 & relation(v60) = v62 & ( ~ (v63 = empty_set) |  ~ (v62 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : (v59 = empty_set |  ~ (powerset(v59) = v60) |  ~ (element(v61, v60) = 0) |  ? [v62] : (subset_complement(v59, v61) = v62 &  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (in(v63, v62) = v64) |  ? [v65] :  ? [v66] : (element(v63, v59) = v65 & in(v63, v61) = v66 & ( ~ (v65 = 0) | v66 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_composition(v60, v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (relation(v61) = v65 & relation(v60) = v63 & empty(v61) = v64 & empty(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | (v65 = 0 & v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_composition(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (relation(v61) = v66 & relation(v60) = v64 & relation(v59) = v62 & function(v61) = v67 & function(v60) = v65 & function(v59) = v63 & ( ~ (v65 = 0) |  ~ (v64 = 0) |  ~ (v63 = 0) |  ~ (v62 = 0) | (v67 = 0 & v66 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_composition(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (relation(v61) = v65 & relation(v60) = v63 & empty(v61) = v64 & empty(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | (v65 = 0 & v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_composition(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (relation(v61) = v64 & relation(v60) = v63 & relation(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_restriction(v60, v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (well_ordering(v61) = v64 & well_ordering(v60) = v63 & relation(v60) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_restriction(v60, v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (reflexive(v61) = v64 & reflexive(v60) = v63 & relation(v60) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_restriction(v60, v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (well_founded_relation(v61) = v64 & well_founded_relation(v60) = v63 & relation(v60) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_restriction(v60, v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (transitive(v61) = v64 & transitive(v60) = v63 & relation(v60) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_restriction(v60, v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (connected(v61) = v64 & connected(v60) = v63 & relation(v60) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_restriction(v60, v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (antisymmetric(v61) = v64 & antisymmetric(v60) = v63 & relation(v60) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_restriction(v59, v60) = v61) |  ? [v62] :  ? [v63] : (relation(v61) = v63 & relation(v59) = v62 & ( ~ (v62 = 0) | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (well_orders(v59, v60) = v61) |  ~ (relation_field(v59) = v60) |  ? [v62] :  ? [v63] : (well_ordering(v59) = v63 & relation(v59) = v62 & ( ~ (v62 = 0) | (( ~ (v63 = 0) | v61 = 0) & ( ~ (v61 = 0) | v63 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_difference(v59, v61) = v59) |  ~ (singleton(v60) = v61) |  ? [v62] : ( ~ (v62 = 0) & in(v60, v59) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_difference(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (v5_membered(v61) = v67 & v5_membered(v59) = v62 & v4_membered(v61) = v66 & v3_membered(v61) = v65 & v2_membered(v61) = v64 & v1_membered(v61) = v63 & ( ~ (v62 = 0) | (v67 = 0 & v66 = 0 & v65 = 0 & v64 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_difference(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (v4_membered(v61) = v66 & v4_membered(v59) = v62 & v3_membered(v61) = v65 & v2_membered(v61) = v64 & v1_membered(v61) = v63 & ( ~ (v62 = 0) | (v66 = 0 & v65 = 0 & v64 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_difference(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (v3_membered(v61) = v65 & v3_membered(v59) = v62 & v2_membered(v61) = v64 & v1_membered(v61) = v63 & ( ~ (v62 = 0) | (v65 = 0 & v64 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_difference(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (relation(v61) = v64 & relation(v60) = v63 & relation(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_difference(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (v2_membered(v61) = v64 & v2_membered(v59) = v62 & v1_membered(v61) = v63 & ( ~ (v62 = 0) | (v64 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_difference(v59, v60) = v61) |  ? [v62] :  ? [v63] : (finite(v61) = v63 & finite(v59) = v62 & ( ~ (v62 = 0) | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_difference(v59, v60) = v61) |  ? [v62] :  ? [v63] : (v1_membered(v61) = v63 & v1_membered(v59) = v62 & ( ~ (v62 = 0) | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (equipotent(v59, v61) = 0) |  ~ (relation_field(v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : ((v64 = 0 & v63 = 0 & well_orders(v62, v59) = 0 & relation(v62) = 0) | (well_ordering(v60) = v63 & relation(v60) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (union(v59) = v60) |  ~ (in(v61, v60) = 0) |  ? [v62] : (in(v62, v59) = 0 & in(v61, v62) = 0)) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (is_well_founded_in(v59, v60) = v61) |  ~ (relation_field(v59) = v60) |  ? [v62] :  ? [v63] : (well_founded_relation(v59) = v63 & relation(v59) = v62 & ( ~ (v62 = 0) | (( ~ (v63 = 0) | v61 = 0) & ( ~ (v61 = 0) | v63 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (is_well_founded_in(v59, v60) = v61) |  ~ (relation(v59) = 0) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (well_orders(v59, v60) = v62 & is_reflexive_in(v59, v60) = v63 & is_transitive_in(v59, v60) = v64 & is_connected_in(v59, v60) = v66 & is_antisymmetric_in(v59, v60) = v65 & ( ~ (v62 = 0) | (v66 = 0 & v65 = 0 & v64 = 0 & v63 = 0 & v61 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_of2(v61, v59, v60) = 0) | relation_of2_as_subset(v61, v59, v60) = 0) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (is_reflexive_in(v59, v60) = v61) |  ~ (relation_field(v59) = v60) |  ? [v62] :  ? [v63] : (reflexive(v59) = v63 & relation(v59) = v62 & ( ~ (v62 = 0) | (( ~ (v63 = 0) | v61 = 0) & ( ~ (v61 = 0) | v63 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (singleton(v59) = v61) |  ~ (disjoint(v61, v60) = 0) |  ? [v62] : ( ~ (v62 = 0) & in(v59, v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (singleton(v59) = v61) |  ~ (subset(v61, v60) = 0) | in(v59, v60) = 0) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (singleton(v59) = v60) |  ~ (set_union2(v59, v60) = v61) | succ(v59) = v61) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_rng(v59) = v60) |  ~ (in(v61, v60) = 0) |  ? [v62] :  ? [v63] :  ? [v64] : ((v64 = 0 & ordered_pair(v62, v61) = v63 & in(v63, v59) = 0) | ( ~ (v62 = 0) & relation(v59) = v62))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (is_transitive_in(v59, v60) = v61) |  ~ (relation_field(v59) = v60) |  ? [v62] :  ? [v63] : (transitive(v59) = v63 & relation(v59) = v62 & ( ~ (v62 = 0) | (( ~ (v63 = 0) | v61 = 0) & ( ~ (v61 = 0) | v63 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (is_connected_in(v59, v60) = v61) |  ~ (relation_field(v59) = v60) |  ? [v62] :  ? [v63] : (connected(v59) = v63 & relation(v59) = v62 & ( ~ (v62 = 0) | (( ~ (v63 = 0) | v61 = 0) & ( ~ (v61 = 0) | v63 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (disjoint(v59, v60) = 0) |  ~ (in(v61, v59) = 0) |  ? [v62] : ( ~ (v62 = 0) & in(v61, v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_field(v60) = v61) |  ~ (subset(v59, v61) = 0) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (relation_restriction(v60, v59) = v64 & well_ordering(v60) = v63 & relation_field(v64) = v65 & relation(v60) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v65 = v59))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_field(v59) = v60) |  ~ (is_antisymmetric_in(v59, v60) = v61) |  ? [v62] :  ? [v63] : (antisymmetric(v59) = v63 & relation(v59) = v62 & ( ~ (v62 = 0) | (( ~ (v63 = 0) | v61 = 0) & ( ~ (v61 = 0) | v63 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_rng_restriction(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (relation(v61) = v64 & relation(v60) = v62 & function(v61) = v65 & function(v60) = v63 & ( ~ (v63 = 0) |  ~ (v62 = 0) | (v65 = 0 & v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_rng_restriction(v59, v60) = v61) |  ? [v62] :  ? [v63] : (relation(v61) = v63 & relation(v60) = v62 & ( ~ (v62 = 0) | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_dom(v59) = v60) |  ~ (relation_image(v59, v60) = v61) |  ? [v62] :  ? [v63] : (relation_rng(v59) = v63 & relation(v59) = v62 & ( ~ (v62 = 0) | v63 = v61))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_dom(v59) = v60) |  ~ (in(v61, v60) = 0) |  ? [v62] :  ? [v63] :  ? [v64] : ((v64 = 0 & ordered_pair(v61, v62) = v63 & in(v63, v59) = 0) | ( ~ (v62 = 0) & relation(v59) = v62))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_image(v60, v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (relation(v60) = v62 & function(v60) = v63 & finite(v61) = v65 & finite(v59) = v64 & ( ~ (v64 = 0) |  ~ (v63 = 0) |  ~ (v62 = 0) | v65 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_image(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (relation(v59) = v62 & function(v59) = v63 & finite(v61) = v65 & finite(v60) = v64 & ( ~ (v64 = 0) |  ~ (v63 = 0) |  ~ (v62 = 0) | v65 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_dom_restriction(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (relation_empty_yielding(v61) = v65 & relation_empty_yielding(v59) = v63 & relation(v61) = v64 & relation(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | (v65 = 0 & v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_dom_restriction(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (relation(v61) = v64 & relation(v59) = v62 & function(v61) = v65 & function(v59) = v63 & ( ~ (v63 = 0) |  ~ (v62 = 0) | (v65 = 0 & v64 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (relation_dom_restriction(v59, v60) = v61) |  ? [v62] :  ? [v63] : (relation(v61) = v63 & relation(v59) = v62 & ( ~ (v62 = 0) | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (subset(v61, v59) = 0) |  ~ (powerset(v59) = v60) | in(v61, v60) = 0) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (subset(v59, v60) = 0) |  ~ (in(v61, v59) = 0) | in(v61, v60) = 0) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (identity_relation(v59) = v61) |  ~ (function(v60) = 0) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (relation_dom(v60) = v63 & relation(v60) = v62 & ( ~ (v62 = 0) | (( ~ (v63 = v59) | v61 = v60 | (v65 = 0 &  ~ (v66 = v64) & apply(v60, v64) = v66 & in(v64, v59) = 0)) & ( ~ (v61 = v60) | (v63 = v59 &  ! [v67] :  ! [v68] : (v68 = v67 |  ~ (apply(v60, v67) = v68) |  ? [v69] : ( ~ (v69 = 0) & in(v67, v59) = v69)))))))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (ordered_pair(v59, v60) = v61) | pair_second(v61) = v60) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (ordered_pair(v59, v60) = v61) | pair_first(v61) = v59) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (ordered_pair(v59, v60) = v61) |  ? [v62] : ( ~ (v62 = 0) & empty(v61) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (ordinal_subset(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (subset(v59, v60) = v64 & ordinal(v60) = v63 & ordinal(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | (( ~ (v64 = 0) | v61 = 0) & ( ~ (v61 = 0) | v64 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v60, v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (v5_membered(v61) = v67 & v5_membered(v59) = v62 & v4_membered(v61) = v66 & v3_membered(v61) = v65 & v2_membered(v61) = v64 & v1_membered(v61) = v63 & ( ~ (v62 = 0) | (v67 = 0 & v66 = 0 & v65 = 0 & v64 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v60, v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (v4_membered(v61) = v66 & v4_membered(v59) = v62 & v3_membered(v61) = v65 & v2_membered(v61) = v64 & v1_membered(v61) = v63 & ( ~ (v62 = 0) | (v66 = 0 & v65 = 0 & v64 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v60, v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (v3_membered(v61) = v65 & v3_membered(v59) = v62 & v2_membered(v61) = v64 & v1_membered(v61) = v63 & ( ~ (v62 = 0) | (v65 = 0 & v64 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v60, v59) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (v2_membered(v61) = v64 & v2_membered(v59) = v62 & v1_membered(v61) = v63 & ( ~ (v62 = 0) | (v64 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v60, v59) = v61) |  ? [v62] :  ? [v63] : (v1_membered(v61) = v63 & v1_membered(v59) = v62 & ( ~ (v62 = 0) | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v59, v60) = v61) | set_intersection2(v60, v59) = v61) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (v5_membered(v61) = v67 & v5_membered(v59) = v62 & v4_membered(v61) = v66 & v3_membered(v61) = v65 & v2_membered(v61) = v64 & v1_membered(v61) = v63 & ( ~ (v62 = 0) | (v67 = 0 & v66 = 0 & v65 = 0 & v64 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (v4_membered(v61) = v66 & v4_membered(v59) = v62 & v3_membered(v61) = v65 & v2_membered(v61) = v64 & v1_membered(v61) = v63 & ( ~ (v62 = 0) | (v66 = 0 & v65 = 0 & v64 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (v3_membered(v61) = v65 & v3_membered(v59) = v62 & v2_membered(v61) = v64 & v1_membered(v61) = v63 & ( ~ (v62 = 0) | (v65 = 0 & v64 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (relation(v61) = v64 & relation(v60) = v63 & relation(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (v2_membered(v61) = v64 & v2_membered(v59) = v62 & v1_membered(v61) = v63 & ( ~ (v62 = 0) | (v64 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v59, v60) = v61) |  ? [v62] :  ? [v63] : (finite(v61) = v63 & finite(v60) = v62 & ( ~ (v62 = 0) | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v59, v60) = v61) |  ? [v62] :  ? [v63] : (finite(v61) = v63 & finite(v59) = v62 & ( ~ (v62 = 0) | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_intersection2(v59, v60) = v61) |  ? [v62] :  ? [v63] : (v1_membered(v61) = v63 & v1_membered(v59) = v62 & ( ~ (v62 = 0) | v63 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (the_carrier(v59) = v61) |  ~ (element(v60, v61) = 0) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (topological_space(v59) = v63 & top_str(v59) = v64 & empty_carrier(v59) = v62 & powerset(v61) = v65 & ( ~ (v64 = 0) |  ~ (v63 = 0) | v62 = 0 |  ! [v66] :  ! [v67] : (v67 = 0 |  ~ (element(v66, v65) = v67) |  ? [v68] : ( ~ (v68 = 0) & point_neighbourhood(v66, v59, v60) = v68))))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (the_carrier(v59) = v61) |  ~ (element(v60, v61) = 0) |  ? [v62] :  ? [v63] :  ? [v64] : ((v63 = 0 & point_neighbourhood(v62, v59, v60) = 0) | (topological_space(v59) = v63 & top_str(v59) = v64 & empty_carrier(v59) = v62 & ( ~ (v64 = 0) |  ~ (v63 = 0) | v62 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_union2(v60, v59) = v61) |  ? [v62] :  ? [v63] : (empty(v61) = v63 & empty(v59) = v62 & ( ~ (v63 = 0) | v62 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_union2(v59, v60) = v61) | set_union2(v60, v59) = v61) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_union2(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (relation(v61) = v64 & relation(v60) = v63 & relation(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_union2(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (finite(v61) = v64 & finite(v60) = v63 & finite(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (set_union2(v59, v60) = v61) |  ? [v62] :  ? [v63] : (empty(v61) = v63 & empty(v59) = v62 & ( ~ (v63 = 0) | v62 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (unordered_pair(v59, v60) = v61) | unordered_pair(v60, v59) = v61) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (unordered_pair(v59, v60) = v61) |  ? [v62] : ( ~ (v62 = 0) & empty(v61) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (cartesian_product2(v59, v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (empty(v61) = v64 & empty(v60) = v63 & empty(v59) = v62 & ( ~ (v64 = 0) | v63 = 0 | v62 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (cartesian_product2(v59, v60) = v61) |  ? [v62] : ( ! [v63] :  ! [v64] :  ! [v65] :  ! [v66] : (v64 = 0 |  ~ (ordered_pair(v65, v66) = v63) |  ~ (in(v63, v62) = v64) |  ~ (in(v63, v61) = 0) |  ? [v67] :  ? [v68] : (singleton(v65) = v68 & in(v65, v59) = v67 & ( ~ (v68 = v66) |  ~ (v67 = 0)))) &  ! [v63] : ( ~ (in(v63, v62) = 0) |  ? [v64] :  ? [v65] : (singleton(v64) = v65 & ordered_pair(v64, v65) = v63 & in(v64, v59) = 0 & in(v63, v61) = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (cartesian_product2(v59, v60) = v61) |  ? [v62] : ( ! [v63] :  ! [v64] :  ! [v65] : ( ~ (ordered_pair(v64, v65) = v63) |  ~ (in(v63, v61) = 0) |  ? [v66] :  ? [v67] : ((v66 = 0 & in(v63, v62) = 0) | (singleton(v64) = v67 & in(v64, v59) = v66 & ( ~ (v67 = v65) |  ~ (v66 = 0))))) &  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (in(v63, v61) = v64) |  ? [v65] : ( ~ (v65 = 0) & in(v63, v62) = v65)) &  ! [v63] :  ! [v64] : ( ~ (in(v63, v61) = v64) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : ((v69 = v66 & v68 = 0 & v67 = v63 & singleton(v65) = v66 & ordered_pair(v65, v66) = v63 & in(v65, v59) = 0) | ( ~ (v65 = 0) & in(v63, v62) = v65))))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (epsilon_connected(v60) = v61) |  ~ (ordinal(v59) = 0) |  ? [v62] :  ? [v63] :  ? [v64] : (epsilon_transitive(v60) = v63 & ordinal(v60) = v64 & element(v60, v59) = v62 & ( ~ (v62 = 0) | (v64 = 0 & v63 = 0 & v61 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (powerset(v60) = v61) |  ~ (element(v59, v61) = 0) | subset(v59, v60) = 0) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (powerset(v59) = v61) |  ~ (element(v60, v61) = 0) |  ? [v62] : (set_difference(v59, v60) = v62 & subset_complement(v59, v60) = v62)) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (empty(v60) = v61) |  ~ (empty(v59) = 0) |  ? [v62] : (element(v60, v59) = v62 & ( ~ (v62 = 0) | v61 = 0) & ( ~ (v61 = 0) | v62 = 0))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (v5_membered(v59) = 0) |  ~ (v1_int_1(v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (natural(v60) = v64 & v1_rat_1(v60) = v66 & v1_xreal_0(v60) = v65 & v1_xcmplx_0(v60) = v63 & element(v60, v59) = v62 & ( ~ (v62 = 0) | (v66 = 0 & v65 = 0 & v64 = 0 & v63 = 0 & v61 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (v4_membered(v59) = 0) |  ~ (v1_int_1(v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (v1_rat_1(v60) = v65 & v1_xreal_0(v60) = v64 & v1_xcmplx_0(v60) = v63 & element(v60, v59) = v62 & ( ~ (v62 = 0) | (v65 = 0 & v64 = 0 & v63 = 0 & v61 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (v3_membered(v59) = 0) |  ~ (v1_rat_1(v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (v1_xreal_0(v60) = v64 & v1_xcmplx_0(v60) = v63 & element(v60, v59) = v62 & ( ~ (v62 = 0) | (v64 = 0 & v63 = 0 & v61 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (v2_membered(v59) = 0) |  ~ (v1_xreal_0(v60) = v61) |  ? [v62] :  ? [v63] : (v1_xcmplx_0(v60) = v63 & element(v60, v59) = v62 & ( ~ (v62 = 0) | (v63 = 0 & v61 = 0)))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (element(v60, v59) = v61) |  ? [v62] :  ? [v63] : (empty(v59) = v62 & in(v60, v59) = v63 & (v62 = 0 | (( ~ (v63 = 0) | v61 = 0) & ( ~ (v61 = 0) | v63 = 0))))) &  ! [v59] :  ! [v60] :  ! [v61] : ( ~ (in(v60, v61) = 0) |  ~ (in(v59, v60) = 0) |  ? [v62] : ( ~ (v62 = 0) & in(v61, v59) = v62)) &  ? [v59] :  ! [v60] :  ! [v61] : (v61 = v59 | v60 = empty_set |  ~ (set_meet(v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (in(v62, v59) = v63 & ( ~ (v63 = 0) | (v65 = 0 &  ~ (v66 = 0) & in(v64, v60) = 0 & in(v62, v64) = v66)) & (v63 = 0 |  ! [v67] :  ! [v68] : (v68 = 0 |  ~ (in(v62, v67) = v68) |  ? [v69] : ( ~ (v69 = 0) & in(v67, v60) = v69))))) &  ? [v59] :  ! [v60] :  ! [v61] : (v61 = v59 |  ~ (union(v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (in(v62, v59) = v63 & ( ~ (v63 = 0) |  ! [v67] : ( ~ (in(v62, v67) = 0) |  ? [v68] : ( ~ (v68 = 0) & in(v67, v60) = v68))) & (v63 = 0 | (v66 = 0 & v65 = 0 & in(v64, v60) = 0 & in(v62, v64) = 0)))) &  ? [v59] :  ! [v60] :  ! [v61] : (v61 = v59 |  ~ (singleton(v60) = v61) |  ? [v62] :  ? [v63] : (in(v62, v59) = v63 & ( ~ (v63 = 0) |  ~ (v62 = v60)) & (v63 = 0 | v62 = v60))) &  ? [v59] :  ! [v60] :  ! [v61] : (v61 = v59 |  ~ (relation_rng(v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (( ~ (v62 = 0) & relation(v60) = v62) | (in(v62, v59) = v63 & ( ~ (v63 = 0) |  ! [v67] :  ! [v68] : ( ~ (ordered_pair(v67, v62) = v68) |  ~ (in(v68, v60) = 0))) & (v63 = 0 | (v66 = 0 & ordered_pair(v64, v62) = v65 & in(v65, v60) = 0))))) &  ? [v59] :  ! [v60] :  ! [v61] : (v61 = v59 |  ~ (relation_dom(v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (( ~ (v62 = 0) & relation(v60) = v62) | (in(v62, v59) = v63 & ( ~ (v63 = 0) |  ! [v67] :  ! [v68] : ( ~ (ordered_pair(v62, v67) = v68) |  ~ (in(v68, v60) = 0))) & (v63 = 0 | (v66 = 0 & ordered_pair(v62, v64) = v65 & in(v65, v60) = 0))))) &  ? [v59] :  ! [v60] :  ! [v61] : (v61 = v59 |  ~ (powerset(v60) = v61) |  ? [v62] :  ? [v63] :  ? [v64] : (subset(v62, v60) = v64 & in(v62, v59) = v63 & ( ~ (v64 = 0) |  ~ (v63 = 0)) & (v64 = 0 | v63 = 0))) &  ? [v59] :  ! [v60] :  ! [v61] : ( ~ (succ(v60) = v61) |  ? [v62] : (( ~ (v62 = 0) & ordinal(v60) = v62) | ( ! [v63] :  ! [v64] : (v64 = 0 |  ~ (ordinal(v63) = 0) |  ~ (in(v63, v62) = v64) |  ~ (in(v63, v61) = 0) |  ? [v65] : ( ~ (v65 = 0) & in(v63, v59) = v65)) &  ! [v63] : ( ~ (in(v63, v62) = 0) | (ordinal(v63) = 0 & in(v63, v61) = 0 & in(v63, v59) = 0))))) &  ? [v59] :  ! [v60] :  ! [v61] : ( ~ (succ(v60) = v61) |  ? [v62] : (( ~ (v62 = 0) & ordinal(v60) = v62) | ( ! [v63] :  ! [v64] : (v64 = 0 |  ~ (in(v63, v61) = v64) |  ? [v65] : ( ~ (v65 = 0) & in(v63, v62) = v65)) &  ! [v63] :  ! [v64] : ( ~ (in(v63, v61) = v64) |  ? [v65] :  ? [v66] :  ? [v67] : ((v67 = 0 & v66 = 0 & v65 = v63 & ordinal(v63) = 0 & in(v63, v59) = 0) | ( ~ (v65 = 0) & in(v63, v62) = v65))) &  ! [v63] : ( ~ (ordinal(v63) = 0) |  ~ (in(v63, v61) = 0) |  ? [v64] : ((v64 = 0 & in(v63, v62) = 0) | ( ~ (v64 = 0) & in(v63, v59) = v64)))))) &  ? [v59] :  ! [v60] :  ! [v61] : ( ~ (relation(v60) = 0) |  ~ (function(v61) = 0) |  ? [v62] :  ? [v63] : ((v63 = 0 & relation(v62) = 0 &  ! [v64] :  ! [v65] :  ! [v66] :  ! [v67] :  ! [v68] :  ! [v69] : ( ~ (apply(v61, v65) = v67) |  ~ (apply(v61, v64) = v66) |  ~ (ordered_pair(v66, v67) = v68) |  ~ (in(v68, v60) = v69) |  ? [v70] :  ? [v71] :  ? [v72] :  ? [v73] : (ordered_pair(v64, v65) = v70 & in(v70, v62) = v71 & in(v65, v59) = v73 & in(v64, v59) = v72 & ( ~ (v71 = 0) | (v73 = 0 & v72 = 0 & v69 = 0)))) &  ! [v64] :  ! [v65] :  ! [v66] :  ! [v67] :  ! [v68] : ( ~ (apply(v61, v65) = v67) |  ~ (apply(v61, v64) = v66) |  ~ (ordered_pair(v66, v67) = v68) |  ~ (in(v68, v60) = 0) |  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] : (ordered_pair(v64, v65) = v71 & in(v71, v62) = v72 & in(v65, v59) = v70 & in(v64, v59) = v69 & ( ~ (v70 = 0) |  ~ (v69 = 0) | v72 = 0)))) | ( ~ (v62 = 0) & relation(v61) = v62))) &  ! [v59] :  ! [v60] : (v60 = v59 |  ~ (set_difference(v59, empty_set) = v60)) &  ! [v59] :  ! [v60] : (v60 = v59 |  ~ (union(v59) = v60) |  ? [v61] : ( ~ (v61 = 0) & being_limit_ordinal(v59) = v61)) &  ! [v59] :  ! [v60] : (v60 = v59 |  ~ (cast_to_subset(v59) = v60)) &  ! [v59] :  ! [v60] : (v60 = v59 |  ~ (subset(v59, v60) = 0) |  ? [v61] : ( ~ (v61 = 0) & subset(v60, v59) = v61)) &  ! [v59] :  ! [v60] : (v60 = v59 |  ~ (set_intersection2(v59, v59) = v60)) &  ! [v59] :  ! [v60] : (v60 = v59 |  ~ (set_union2(v59, v59) = v60)) &  ! [v59] :  ! [v60] : (v60 = v59 |  ~ (set_union2(v59, empty_set) = v60)) &  ! [v59] :  ! [v60] : (v60 = v59 |  ~ (relation(v60) = 0) |  ~ (relation(v59) = 0) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (ordered_pair(v61, v62) = v63 & in(v63, v60) = v65 & in(v63, v59) = v64 & ( ~ (v65 = 0) |  ~ (v64 = 0)) & (v65 = 0 | v64 = 0))) &  ! [v59] :  ! [v60] : (v60 = v59 |  ~ (ordinal(v60) = 0) |  ~ (ordinal(v59) = 0) |  ? [v61] :  ? [v62] : (in(v60, v59) = v62 & in(v59, v60) = v61 & (v62 = 0 | v61 = 0))) &  ! [v59] :  ! [v60] : (v60 = v59 |  ~ (empty(v60) = 0) |  ~ (empty(v59) = 0)) &  ! [v59] :  ! [v60] : (v60 = empty_set |  ~ (set_difference(empty_set, v59) = v60)) &  ! [v59] :  ! [v60] : (v60 = empty_set |  ~ (empty_carrier_subset(v59) = v60) |  ? [v61] : ( ~ (v61 = 0) & one_sorted_str(v59) = v61)) &  ! [v59] :  ! [v60] : (v60 = empty_set |  ~ (centered(v59) = 0) |  ~ (set_meet(v60) = empty_set) |  ? [v61] :  ? [v62] : (subset(v60, v59) = v61 & finite(v60) = v62 & ( ~ (v62 = 0) |  ~ (v61 = 0)))) &  ! [v59] :  ! [v60] : (v60 = empty_set |  ~ (set_intersection2(v59, empty_set) = v60)) &  ! [v59] :  ! [v60] : (v60 = 0 | v59 = empty_set |  ~ (centered(v59) = v60) |  ? [v61] : ( ~ (v61 = empty_set) & set_meet(v61) = empty_set & subset(v61, v59) = 0 & finite(v61) = 0)) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (being_limit_ordinal(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : ((v63 = 0 & v62 = 0 &  ~ (v65 = 0) & succ(v61) = v64 & ordinal(v61) = 0 & in(v64, v59) = v65 & in(v61, v59) = 0) | ( ~ (v61 = 0) & ordinal(v59) = v61))) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (being_limit_ordinal(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : ((v63 = v59 & v62 = 0 & succ(v61) = v59 & ordinal(v61) = 0) | ( ~ (v61 = 0) & ordinal(v59) = v61))) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (equipotent(v59, v59) = v60)) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (one_sorted_str(v59) = v60) |  ? [v61] : ( ~ (v61 = 0) & top_str(v59) = v61)) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (transitive(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : ((v67 = 0 & v65 = 0 &  ~ (v69 = 0) & ordered_pair(v62, v63) = v66 & ordered_pair(v61, v63) = v68 & ordered_pair(v61, v62) = v64 & in(v68, v59) = v69 & in(v66, v59) = 0 & in(v64, v59) = 0) | ( ~ (v61 = 0) & relation(v59) = v61))) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (antisymmetric(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : ((v66 = 0 & v64 = 0 &  ~ (v62 = v61) & ordered_pair(v62, v61) = v65 & ordered_pair(v61, v62) = v63 & in(v65, v59) = 0 & in(v63, v59) = 0) | ( ~ (v61 = 0) & relation(v59) = v61))) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (subset(v59, v59) = v60)) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (subset(empty_set, v59) = v60)) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (empty_carrier(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (one_sorted_str(v59) = v61 & the_carrier(v59) = v62 & powerset(v62) = v63 & ( ~ (v61 = 0) | (v65 = 0 &  ~ (v66 = 0) & empty(v64) = v66 & element(v64, v63) = 0)))) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (empty_carrier(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] : (one_sorted_str(v59) = v61 & the_carrier(v59) = v62 & powerset(v63) = v64 & powerset(v62) = v63 & ( ~ (v61 = 0) |  ~ (element(empty_set, v64) = 0) |  ? [v65] : ( ~ (v65 = 0) & is_a_cover_of_carrier(v59, empty_set) = v65)))) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (empty_carrier(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (one_sorted_str(v59) = v61 & the_carrier(v59) = v62 & powerset(v62) = v63 & ( ~ (v61 = 0) |  ! [v64] : ( ~ (element(v64, v63) = 0) |  ? [v65] : (subset_complement(v62, v64) = v65 &  ! [v66] :  ! [v67] : ( ~ (in(v66, v65) = v67) |  ? [v68] :  ? [v69] : (element(v66, v62) = v68 & in(v66, v64) = v69 & ( ~ (v68 = 0) | (( ~ (v69 = 0) |  ~ (v67 = 0)) & (v69 = 0 | v67 = 0)))))))))) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (empty_carrier(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (one_sorted_str(v59) = v61 & the_carrier(v59) = v62 & empty(v62) = v63 & ( ~ (v63 = 0) |  ~ (v61 = 0)))) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (relation(v59) = v60) |  ? [v61] : (in(v61, v59) = 0 &  ! [v62] :  ! [v63] :  ~ (ordered_pair(v62, v63) = v61))) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (function(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : ( ~ (v63 = v62) & ordered_pair(v61, v63) = v65 & ordered_pair(v61, v62) = v64 & in(v65, v59) = 0 & in(v64, v59) = 0)) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (function(v59) = v60) |  ? [v61] : ( ~ (v61 = 0) & empty(v59) = v61)) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (preboolean(v59) = v60) |  ? [v61] :  ? [v62] : (cup_closed(v59) = v61 & diff_closed(v59) = v62 & ( ~ (v62 = 0) |  ~ (v61 = 0)))) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (finite(v59) = v60) |  ? [v61] : ( ~ (v61 = 0) & empty(v59) = v61)) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (epsilon_connected(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] : ( ~ (v64 = 0) &  ~ (v63 = 0) &  ~ (v62 = v61) & in(v62, v61) = v64 & in(v62, v59) = 0 & in(v61, v62) = v63 & in(v61, v59) = 0)) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (epsilon_transitive(v59) = v60) |  ? [v61] :  ? [v62] : ( ~ (v62 = 0) & subset(v61, v59) = v62 & in(v61, v59) = 0)) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (ordinal(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (subset(v61, v59) = v63 & ordinal(v61) = v62 & in(v61, v59) = 0 & ( ~ (v63 = 0) |  ~ (v62 = 0)))) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (empty(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] : ((v64 = v59 & v63 = 0 & v62 = 0 & relation_dom(v61) = v59 & relation(v61) = 0 & function(v61) = 0 &  ! [v65] :  ! [v66] :  ! [v67] : (v67 = 0 |  ~ (apply(v61, v65) = v66) |  ~ (in(v66, v65) = v67) |  ? [v68] : ( ~ (v68 = 0) & in(v65, v59) = v68))) | (v62 = 0 & v61 = empty_set & in(empty_set, v59) = 0))) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (empty(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : ( ~ (v63 = 0) & finite(v62) = 0 & powerset(v59) = v61 & empty(v62) = v63 & element(v62, v61) = 0)) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (empty(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : ( ~ (v63 = 0) & powerset(v59) = v61 & empty(v62) = v63 & element(v62, v61) = 0)) &  ! [v59] :  ! [v60] : (v60 = 0 |  ~ (empty(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (relation_dom(v59) = v62 & relation(v59) = v61 & empty(v62) = v63 & ( ~ (v63 = 0) |  ~ (v61 = 0)))) &  ! [v59] :  ! [v60] : (v59 = empty_set |  ~ (relation_rng(v59) = v60) |  ? [v61] :  ? [v62] : (relation_dom(v59) = v62 & relation(v59) = v61 & ( ~ (v61 = 0) | ( ~ (v62 = empty_set) &  ~ (v60 = empty_set))))) &  ! [v59] :  ! [v60] : (v59 = empty_set |  ~ (subset(v59, v60) = 0) |  ? [v61] :  ? [v62] :  ? [v63] : ((v63 = 0 & v62 = 0 & ordinal(v61) = 0 & in(v61, v59) = 0 &  ! [v64] :  ! [v65] : (v65 = 0 |  ~ (ordinal_subset(v61, v64) = v65) |  ? [v66] :  ? [v67] : (ordinal(v64) = v66 & in(v64, v59) = v67 & ( ~ (v67 = 0) |  ~ (v66 = 0))))) | ( ~ (v61 = 0) & ordinal(v60) = v61))) &  ! [v59] :  ! [v60] : ( ~ (are_equipotent(v59, v60) = 0) | equipotent(v59, v60) = 0) &  ! [v59] :  ! [v60] : ( ~ (function_inverse(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (relation_rng(v60) = v67 & relation_rng(v59) = v64 & relation_dom(v60) = v65 & relation_dom(v59) = v66 & one_to_one(v59) = v63 & relation(v59) = v61 & function(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) |  ~ (v61 = 0) | (v67 = v66 & v65 = v64)))) &  ! [v59] :  ! [v60] : ( ~ (function_inverse(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (relation_rng(v59) = v64 & relation_dom(v59) = v65 & one_to_one(v59) = v63 & relation(v59) = v61 & function(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) |  ~ (v61 = 0) |  ! [v66] : ( ~ (function(v66) = 0) |  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] :  ? [v73] :  ? [v74] : (relation_dom(v66) = v68 & relation(v66) = v67 & ( ~ (v67 = 0) | (( ~ (v68 = v64) | v66 = v60 | (apply(v66, v69) = v72 & apply(v59, v70) = v74 & in(v70, v65) = v73 & in(v69, v64) = v71 & ((v74 = v69 & v73 = 0 & ( ~ (v72 = v70) |  ~ (v71 = 0))) | (v72 = v70 & v71 = 0 & ( ~ (v74 = v69) |  ~ (v73 = 0)))))) & ( ~ (v66 = v60) | (v68 = v64 &  ! [v75] :  ! [v76] :  ! [v77] : ( ~ (in(v76, v65) = v77) |  ~ (in(v75, v64) = 0) |  ? [v78] :  ? [v79] : (apply(v60, v75) = v78 & apply(v59, v76) = v79 & ( ~ (v78 = v76) | (v79 = v75 & v77 = 0)))) &  ! [v75] :  ! [v76] :  ! [v77] : ( ~ (in(v76, v65) = 0) |  ~ (in(v75, v64) = v77) |  ? [v78] :  ? [v79] : (apply(v60, v75) = v79 & apply(v59, v76) = v78 & ( ~ (v78 = v75) | (v79 = v76 & v77 = 0))))))))))))) &  ! [v59] :  ! [v60] : ( ~ (function_inverse(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] : (relation_inverse(v59) = v64 & one_to_one(v59) = v63 & relation(v59) = v61 & function(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) |  ~ (v61 = 0) | v64 = v60))) &  ! [v59] :  ! [v60] : ( ~ (function_inverse(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] : (one_to_one(v60) = v64 & one_to_one(v59) = v63 & relation(v59) = v61 & function(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) |  ~ (v61 = 0) | v64 = 0))) &  ! [v59] :  ! [v60] : ( ~ (function_inverse(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] : (relation(v60) = v63 & relation(v59) = v61 & function(v60) = v64 & function(v59) = v62 & ( ~ (v62 = 0) |  ~ (v61 = 0) | (v64 = 0 & v63 = 0)))) &  ! [v59] :  ! [v60] : ( ~ (meet_absorbing(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (latt_str(v59) = v62 & the_carrier(v59) = v63 & empty_carrier(v59) = v61 & ( ~ (v62 = 0) | v61 = 0 | (( ~ (v60 = 0) |  ! [v70] :  ! [v71] :  ! [v72] :  ! [v73] : (v73 = v71 |  ~ (meet(v59, v70, v71) = v72) |  ~ (join(v59, v72, v71) = v73) |  ~ (element(v70, v63) = 0) |  ? [v74] : ( ~ (v74 = 0) & element(v71, v63) = v74))) & (v60 = 0 | (v67 = 0 & v65 = 0 &  ~ (v69 = v66) & meet(v59, v64, v66) = v68 & join(v59, v68, v66) = v69 & element(v66, v63) = 0 & element(v64, v63) = 0)))))) &  ! [v59] :  ! [v60] : ( ~ (relation_inverse(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (relation_rng(v60) = v65 & relation_rng(v59) = v62 & relation_dom(v60) = v63 & relation_dom(v59) = v64 & relation(v59) = v61 & ( ~ (v61 = 0) | (v65 = v64 & v63 = v62)))) &  ! [v59] :  ! [v60] : ( ~ (relation_inverse(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (one_to_one(v59) = v63 & relation(v60) = v64 & relation(v59) = v61 & function(v60) = v65 & function(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) |  ~ (v61 = 0) | (v65 = 0 & v64 = 0)))) &  ! [v59] :  ! [v60] : ( ~ (relation_inverse(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (relation(v60) = v63 & empty(v60) = v62 & empty(v59) = v61 & ( ~ (v61 = 0) | (v63 = 0 & v62 = 0)))) &  ! [v59] :  ! [v60] : ( ~ (relation_inverse(v59) = v60) |  ? [v61] :  ? [v62] : (relation_inverse(v60) = v62 & relation(v59) = v61 & ( ~ (v61 = 0) | v62 = v59))) &  ! [v59] :  ! [v60] : ( ~ (relation_inverse(v59) = v60) |  ? [v61] :  ? [v62] : (relation(v60) = v62 & relation(v59) = v61 & ( ~ (v61 = 0) | v62 = 0))) &  ! [v59] :  ! [v60] : ( ~ (well_orders(v60, v59) = 0) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] : (relation_restriction(v60, v59) = v62 & well_ordering(v62) = v64 & relation_field(v62) = v63 & relation(v60) = v61 & ( ~ (v61 = 0) | (v64 = 0 & v63 = v59)))) &  ! [v59] :  ! [v60] : ( ~ (being_limit_ordinal(v59) = 0) |  ~ (succ(v60) = v59) |  ? [v61] : (( ~ (v61 = 0) & ordinal(v60) = v61) | ( ~ (v61 = 0) & ordinal(v59) = v61))) &  ! [v59] :  ! [v60] : ( ~ (the_InternalRel(v59) = v60) |  ? [v61] :  ? [v62] : (rel_str(v59) = v61 & the_carrier(v59) = v62 & ( ~ (v61 = 0) |  ! [v63] :  ! [v64] :  ! [v65] :  ! [v66] : ( ~ (ordered_pair(v63, v64) = v65) |  ~ (element(v63, v62) = 0) |  ~ (in(v65, v60) = v66) |  ? [v67] :  ? [v68] : (related(v59, v63, v64) = v68 & element(v64, v62) = v67 & ( ~ (v67 = 0) | (( ~ (v68 = 0) | v66 = 0) & ( ~ (v66 = 0) | v68 = 0)))))))) &  ! [v59] :  ! [v60] : ( ~ (set_difference(v59, v60) = empty_set) | subset(v59, v60) = 0) &  ! [v59] :  ! [v60] : ( ~ (equipotent(v59, v60) = 0) | equipotent(v60, v59) = 0) &  ! [v59] :  ! [v60] : ( ~ (equipotent(v59, v60) = 0) |  ? [v61] : (relation_rng(v61) = v60 & relation_dom(v61) = v59 & one_to_one(v61) = 0 & relation(v61) = 0 & function(v61) = 0)) &  ! [v59] :  ! [v60] : ( ~ (reflexive(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (relation_field(v59) = v62 & relation(v59) = v61 & ( ~ (v61 = 0) | (( ~ (v60 = 0) |  ! [v67] : ( ~ (in(v67, v62) = 0) |  ? [v68] : (ordered_pair(v67, v67) = v68 & in(v68, v59) = 0))) & (v60 = 0 | (v64 = 0 &  ~ (v66 = 0) & ordered_pair(v63, v63) = v65 & in(v65, v59) = v66 & in(v63, v62) = 0)))))) &  ! [v59] :  ! [v60] : ( ~ (union(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] : (epsilon_connected(v60) = v63 & epsilon_transitive(v60) = v62 & ordinal(v60) = v64 & ordinal(v59) = v61 & ( ~ (v61 = 0) | (v64 = 0 & v63 = 0 & v62 = 0)))) &  ! [v59] :  ! [v60] : ( ~ (is_well_founded_in(v59, v60) = 0) |  ~ (relation(v59) = 0) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (well_orders(v59, v60) = v65 & is_reflexive_in(v59, v60) = v61 & is_transitive_in(v59, v60) = v62 & is_connected_in(v59, v60) = v64 & is_antisymmetric_in(v59, v60) = v63 & ( ~ (v64 = 0) |  ~ (v63 = 0) |  ~ (v62 = 0) |  ~ (v61 = 0) | v65 = 0))) &  ! [v59] :  ! [v60] : ( ~ (cast_as_carrier_subset(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] : (one_sorted_str(v59) = v61 & the_carrier(v59) = v62 & powerset(v63) = v64 & powerset(v62) = v63 & ( ~ (v61 = 0) |  ! [v65] : ( ~ (element(v65, v64) = 0) |  ? [v66] :  ? [v67] : (is_a_cover_of_carrier(v59, v65) = v66 & union_of_subsets(v62, v65) = v67 & ( ~ (v67 = v60) | v66 = 0) & ( ~ (v66 = 0) | v67 = v60)))))) &  ! [v59] :  ! [v60] : ( ~ (cast_as_carrier_subset(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (one_sorted_str(v59) = v62 & empty_carrier(v59) = v61 & empty(v60) = v63 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v61 = 0))) &  ! [v59] :  ! [v60] : ( ~ (cast_as_carrier_subset(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (one_sorted_str(v59) = v61 & the_carrier(v59) = v62 & powerset(v62) = v63 & ( ~ (v61 = 0) |  ! [v64] :  ! [v65] :  ! [v66] : (v66 = v64 |  ~ (subset_difference(v62, v60, v65) = v66) |  ~ (subset_difference(v62, v60, v64) = v65) |  ? [v67] : ( ~ (v67 = 0) & element(v64, v63) = v67))))) &  ! [v59] :  ! [v60] : ( ~ (cast_as_carrier_subset(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (one_sorted_str(v59) = v61 & the_carrier(v59) = v62 & powerset(v62) = v63 & ( ~ (v61 = 0) |  ! [v64] :  ! [v65] : (v65 = v64 |  ~ (subset_intersection2(v62, v64, v60) = v65) |  ? [v66] : ( ~ (v66 = 0) & element(v64, v63) = v66))))) &  ! [v59] :  ! [v60] : ( ~ (cast_as_carrier_subset(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (one_sorted_str(v59) = v61 & the_carrier(v59) = v62 & powerset(v62) = v63 & ( ~ (v61 = 0) |  ! [v64] :  ! [v65] : ( ~ (subset_difference(v62, v60, v64) = v65) |  ? [v66] :  ? [v67] : (subset_complement(v62, v64) = v67 & element(v64, v63) = v66 & ( ~ (v66 = 0) | v67 = v65)))))) &  ! [v59] :  ! [v60] : ( ~ (cast_as_carrier_subset(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (top_str(v59) = v61 & the_carrier(v59) = v62 & powerset(v62) = v63 & ( ~ (v61 = 0) |  ! [v64] :  ! [v65] :  ! [v66] : ( ~ (subset_difference(v62, v60, v64) = v65) |  ~ (open_subset(v65, v59) = v66) |  ? [v67] :  ? [v68] : (closed_subset(v64, v59) = v68 & element(v64, v63) = v67 & ( ~ (v67 = 0) | (( ~ (v68 = 0) | v66 = 0) & ( ~ (v66 = 0) | v68 = 0)))))))) &  ! [v59] :  ! [v60] : ( ~ (cast_as_carrier_subset(v59) = v60) |  ? [v61] :  ? [v62] : (one_sorted_str(v59) = v61 & the_carrier(v59) = v62 & ( ~ (v61 = 0) | v62 = v60))) &  ! [v59] :  ! [v60] : ( ~ (compact_top_space(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] : (topological_space(v59) = v62 & top_str(v59) = v63 & the_carrier(v59) = v64 & empty_carrier(v59) = v61 & powerset(v65) = v66 & powerset(v64) = v65 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v61 = 0 | (( ~ (v60 = 0) |  ! [v72] : ( ~ (element(v72, v66) = 0) |  ? [v73] :  ? [v74] :  ? [v75] : (meet_of_subsets(v64, v72) = v75 & closed_subsets(v72, v59) = v74 & centered(v72) = v73 & ( ~ (v75 = empty_set) |  ~ (v74 = 0) |  ~ (v73 = 0))))) & (v60 = 0 | (v71 = empty_set & v70 = 0 & v69 = 0 & v68 = 0 & meet_of_subsets(v64, v67) = empty_set & closed_subsets(v67, v59) = 0 & centered(v67) = 0 & element(v67, v66) = 0)))))) &  ! [v59] :  ! [v60] : ( ~ (compact_top_space(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (top_str(v59) = v61 & the_carrier(v59) = v62 & powerset(v63) = v64 & powerset(v62) = v63 & ( ~ (v61 = 0) | (( ~ (v60 = 0) |  ! [v69] : ( ~ (element(v69, v64) = 0) |  ? [v70] :  ? [v71] :  ? [v72] :  ? [v73] :  ? [v74] : ((v74 = 0 & v73 = 0 & v72 = 0 & v71 = 0 & is_a_cover_of_carrier(v59, v70) = 0 & subset(v70, v69) = 0 & finite(v70) = 0 & element(v70, v64) = 0) | (is_a_cover_of_carrier(v59, v69) = v70 & open_subsets(v69, v59) = v71 & ( ~ (v71 = 0) |  ~ (v70 = 0)))))) & (v60 = 0 | (v68 = 0 & v67 = 0 & v66 = 0 & is_a_cover_of_carrier(v59, v65) = 0 & open_subsets(v65, v59) = 0 & element(v65, v64) = 0 &  ! [v69] : ( ~ (element(v69, v64) = 0) |  ? [v70] :  ? [v71] :  ? [v72] : (is_a_cover_of_carrier(v59, v69) = v71 & subset(v69, v65) = v70 & finite(v69) = v72 & ( ~ (v72 = 0) |  ~ (v71 = 0) |  ~ (v70 = 0)))))))))) &  ! [v59] :  ! [v60] : ( ~ (well_founded_relation(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (well_ordering(v59) = v62 & reflexive(v59) = v63 & transitive(v59) = v64 & connected(v59) = v66 & antisymmetric(v59) = v65 & relation(v59) = v61 & ( ~ (v61 = 0) | (( ~ (v66 = 0) |  ~ (v65 = 0) |  ~ (v64 = 0) |  ~ (v63 = 0) |  ~ (v60 = 0) | v62 = 0) & ( ~ (v62 = 0) | (v66 = 0 & v65 = 0 & v64 = 0 & v63 = 0 & v60 = 0)))))) &  ! [v59] :  ! [v60] : ( ~ (well_founded_relation(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (reflexive(v59) = v62 & transitive(v59) = v63 & connected(v59) = v64 & antisymmetric(v59) = v65 & relation(v59) = v61 & ( ~ (v61 = 0) |  ! [v66] :  ! [v67] : ( ~ (well_founded_relation(v66) = v67) |  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] : (reflexive(v66) = v69 & transitive(v66) = v70 & connected(v66) = v71 & antisymmetric(v66) = v72 & relation(v66) = v68 & ( ~ (v68 = 0) | ( ! [v73] : ( ~ (v65 = 0) | v72 = 0 |  ~ (relation_isomorphism(v59, v66, v73) = 0) |  ? [v74] :  ? [v75] : (relation(v73) = v74 & function(v73) = v75 & ( ~ (v75 = 0) |  ~ (v74 = 0)))) &  ! [v73] : ( ~ (v64 = 0) | v71 = 0 |  ~ (relation_isomorphism(v59, v66, v73) = 0) |  ? [v74] :  ? [v75] : (relation(v73) = v74 & function(v73) = v75 & ( ~ (v75 = 0) |  ~ (v74 = 0)))) &  ! [v73] : ( ~ (v63 = 0) | v70 = 0 |  ~ (relation_isomorphism(v59, v66, v73) = 0) |  ? [v74] :  ? [v75] : (relation(v73) = v74 & function(v73) = v75 & ( ~ (v75 = 0) |  ~ (v74 = 0)))) &  ! [v73] : ( ~ (v62 = 0) | v69 = 0 |  ~ (relation_isomorphism(v59, v66, v73) = 0) |  ? [v74] :  ? [v75] : (relation(v73) = v74 & function(v73) = v75 & ( ~ (v75 = 0) |  ~ (v74 = 0)))) &  ! [v73] : ( ~ (v60 = 0) | v67 = 0 |  ~ (relation_isomorphism(v59, v66, v73) = 0) |  ? [v74] :  ? [v75] : (relation(v73) = v74 & function(v73) = v75 & ( ~ (v75 = 0) |  ~ (v74 = 0))))))))))) &  ! [v59] :  ! [v60] : ( ~ (well_founded_relation(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] : (relation_field(v59) = v62 & relation(v59) = v61 & ( ~ (v61 = 0) | (( ~ (v60 = 0) |  ! [v65] : (v65 = empty_set |  ~ (subset(v65, v62) = 0) |  ? [v66] :  ? [v67] : (fiber(v59, v66) = v67 & disjoint(v67, v65) = 0 & in(v66, v65) = 0))) & (v60 = 0 | (v64 = 0 &  ~ (v63 = empty_set) & subset(v63, v62) = 0 &  ! [v65] :  ! [v66] : ( ~ (fiber(v59, v65) = v66) |  ~ (disjoint(v66, v63) = 0) |  ? [v67] : ( ~ (v67 = 0) & in(v65, v63) = v67)))))))) &  ! [v59] :  ! [v60] : ( ~ (empty_carrier_subset(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (one_sorted_str(v59) = v61 & empty(v60) = v62 & v5_membered(v60) = v67 & v4_membered(v60) = v66 & v3_membered(v60) = v65 & v2_membered(v60) = v64 & v1_membered(v60) = v63 & ( ~ (v61 = 0) | (v67 = 0 & v66 = 0 & v65 = 0 & v64 = 0 & v63 = 0 & v62 = 0)))) &  ! [v59] :  ! [v60] : ( ~ (the_L_meet(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (meet_semilatt_str(v59) = v62 & the_carrier(v59) = v63 & empty_carrier(v59) = v61 & ( ~ (v62 = 0) | v61 = 0 |  ! [v64] :  ! [v65] :  ! [v66] : ( ~ (apply_binary_as_element(v63, v63, v63, v60, v64, v65) = v66) |  ~ (element(v64, v63) = 0) |  ? [v67] :  ? [v68] : (meet(v59, v64, v65) = v68 & element(v65, v63) = v67 & ( ~ (v67 = 0) | v68 = v66)))))) &  ! [v59] :  ! [v60] : ( ~ (inclusion_relation(v59) = v60) | reflexive(v60) = 0) &  ! [v59] :  ! [v60] : ( ~ (inclusion_relation(v59) = v60) | transitive(v60) = 0) &  ! [v59] :  ! [v60] : ( ~ (inclusion_relation(v59) = v60) | antisymmetric(v60) = 0) &  ! [v59] :  ! [v60] : ( ~ (inclusion_relation(v59) = v60) | relation(v60) = 0) &  ! [v59] :  ! [v60] : ( ~ (inclusion_relation(v59) = v60) |  ? [v61] :  ? [v62] : (well_ordering(v60) = v62 & ordinal(v59) = v61 & ( ~ (v61 = 0) | v62 = 0))) &  ! [v59] :  ! [v60] : ( ~ (inclusion_relation(v59) = v60) |  ? [v61] :  ? [v62] : (well_founded_relation(v60) = v62 & ordinal(v59) = v61 & ( ~ (v61 = 0) | v62 = 0))) &  ! [v59] :  ! [v60] : ( ~ (inclusion_relation(v59) = v60) |  ? [v61] :  ? [v62] : (connected(v60) = v62 & ordinal(v59) = v61 & ( ~ (v61 = 0) | v62 = 0))) &  ! [v59] :  ! [v60] : ( ~ (the_topology(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (top_str(v59) = v61 & the_carrier(v59) = v62 & powerset(v62) = v63 & ( ~ (v61 = 0) |  ! [v64] : ( ~ (element(v64, v63) = 0) |  ? [v65] :  ? [v66] : (open_subset(v64, v59) = v65 & in(v64, v60) = v66 & ( ~ (v66 = 0) | v65 = 0) & ( ~ (v65 = 0) | v66 = 0)))))) &  ! [v59] :  ! [v60] : ( ~ (singleton(v59) = v60) | finite(v60) = 0) &  ! [v59] :  ! [v60] : ( ~ (singleton(v59) = v60) |  ? [v61] : ( ~ (v61 = 0) & empty(v60) = v61)) &  ! [v59] :  ! [v60] : ( ~ (succ(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (epsilon_connected(v60) = v64 & epsilon_transitive(v60) = v63 & ordinal(v60) = v65 & ordinal(v59) = v61 & empty(v60) = v62 & ( ~ (v61 = 0) | (v65 = 0 & v64 = 0 & v63 = 0 &  ~ (v62 = 0))))) &  ! [v59] :  ! [v60] : ( ~ (succ(v59) = v60) |  ? [v61] : ( ~ (v61 = 0) & empty(v60) = v61)) &  ! [v59] :  ! [v60] : ( ~ (succ(v59) = v60) |  ? [v61] : (( ~ (v61 = 0) & ordinal(v59) = v61) | ( ! [v62] :  ! [v63] :  ! [v64] : (v63 = 0 |  ~ (in(v62, v61) = v63) |  ~ (in(v62, v60) = 0) |  ~ (in(v62, omega) = v64) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (ordinal(v62) = v65 & powerset(v66) = v67 & powerset(v62) = v66 & ( ~ (v65 = 0) | (v69 = 0 & v64 = 0 &  ~ (v68 = empty_set) & element(v68, v67) = 0 &  ! [v70] : ( ~ (in(v70, v68) = 0) |  ? [v71] : ( ~ (v71 = v70) & subset(v70, v71) = 0 & in(v71, v68) = 0)))))) &  ! [v62] : ( ~ (in(v62, v61) = 0) |  ? [v63] :  ? [v64] :  ? [v65] : (ordinal(v62) = 0 & powerset(v64) = v65 & powerset(v62) = v64 & in(v62, v60) = 0 & in(v62, omega) = v63 & ( ~ (v63 = 0) |  ! [v66] : (v66 = empty_set |  ~ (element(v66, v65) = 0) |  ? [v67] : (in(v67, v66) = 0 &  ! [v68] : (v68 = v67 |  ~ (subset(v67, v68) = 0) |  ? [v69] : ( ~ (v69 = 0) & in(v68, v66) = v69)))))))))) &  ! [v59] :  ! [v60] : ( ~ (succ(v59) = v60) |  ? [v61] : (( ~ (v61 = 0) & ordinal(v59) = v61) | ( ! [v62] :  ! [v63] : (v63 = 0 |  ~ (in(v62, v60) = v63) |  ? [v64] : ( ~ (v64 = 0) & in(v62, v61) = v64)) &  ! [v62] :  ! [v63] : ( ~ (in(v62, v60) = v63) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : ((v65 = 0 & v64 = v62 & ordinal(v62) = 0 & powerset(v67) = v68 & powerset(v62) = v67 & in(v62, omega) = v66 & ( ~ (v66 = 0) |  ! [v69] : (v69 = empty_set |  ~ (element(v69, v68) = 0) |  ? [v70] : (in(v70, v69) = 0 &  ! [v71] : (v71 = v70 |  ~ (subset(v70, v71) = 0) |  ? [v72] : ( ~ (v72 = 0) & in(v71, v69) = v72)))))) | ( ~ (v64 = 0) & in(v62, v61) = v64))) &  ! [v62] :  ! [v63] : ( ~ (in(v62, v60) = 0) |  ~ (in(v62, omega) = v63) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : ((v64 = 0 & in(v62, v61) = 0) | (ordinal(v62) = v64 & powerset(v65) = v66 & powerset(v62) = v65 & ( ~ (v64 = 0) | (v68 = 0 & v63 = 0 &  ~ (v67 = empty_set) & element(v67, v66) = 0 &  ! [v69] : ( ~ (in(v69, v67) = 0) |  ? [v70] : ( ~ (v70 = v69) & subset(v69, v70) = 0 & in(v70, v67) = 0)))))))))) &  ! [v59] :  ! [v60] : ( ~ (the_L_join(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (the_carrier(v59) = v63 & empty_carrier(v59) = v61 & join_semilatt_str(v59) = v62 & ( ~ (v62 = 0) | v61 = 0 |  ! [v64] :  ! [v65] :  ! [v66] : ( ~ (apply_binary_as_element(v63, v63, v63, v60, v64, v65) = v66) |  ~ (element(v64, v63) = 0) |  ? [v67] :  ? [v68] : (join(v59, v64, v65) = v68 & element(v65, v63) = v67 & ( ~ (v67 = 0) | v68 = v66)))))) &  ! [v59] :  ! [v60] : ( ~ (relation_rng(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (relation_dom(v59) = v63 & relation(v59) = v61 & function(v59) = v62 & finite(v63) = v64 & finite(v60) = v65 & ( ~ (v64 = 0) |  ~ (v62 = 0) |  ~ (v61 = 0) | v65 = 0))) &  ! [v59] :  ! [v60] : ( ~ (relation_rng(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (relation_dom(v59) = v63 & relation(v59) = v61 & function(v59) = v62 & ( ~ (v62 = 0) |  ~ (v61 = 0) | ( ! [v64] :  ! [v65] :  ! [v66] : (v65 = 0 |  ~ (in(v66, v63) = 0) |  ~ (in(v64, v60) = v65) |  ? [v67] : ( ~ (v67 = v64) & apply(v59, v66) = v67)) &  ! [v64] : ( ~ (in(v64, v60) = 0) |  ? [v65] : (apply(v59, v65) = v64 & in(v65, v63) = 0)) &  ? [v64] : (v64 = v60 |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (in(v65, v64) = v66 & ( ~ (v66 = 0) |  ! [v70] : ( ~ (in(v70, v63) = 0) |  ? [v71] : ( ~ (v71 = v65) & apply(v59, v70) = v71))) & (v66 = 0 | (v69 = v65 & v68 = 0 & apply(v59, v67) = v65 & in(v67, v63) = 0)))))))) &  ! [v59] :  ! [v60] : ( ~ (relation_rng(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (relation(v60) = v63 & empty(v60) = v62 & empty(v59) = v61 & ( ~ (v61 = 0) | (v63 = 0 & v62 = 0)))) &  ! [v59] :  ! [v60] : ( ~ (relation_rng(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (relation(v59) = v62 & empty(v60) = v63 & empty(v59) = v61 & ( ~ (v63 = 0) |  ~ (v62 = 0) | v61 = 0))) &  ! [v59] :  ! [v60] : ( ~ (relation_rng(v59) = v60) |  ? [v61] :  ? [v62] : (relation_dom(v59) = v62 & relation(v59) = v61 & ( ~ (v61 = 0) |  ! [v63] :  ! [v64] :  ! [v65] : ( ~ (relation_rng(v63) = v64) |  ~ (subset(v60, v64) = v65) |  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (relation_dom(v63) = v68 & subset(v62, v68) = v69 & subset(v59, v63) = v67 & relation(v63) = v66 & ( ~ (v67 = 0) |  ~ (v66 = 0) | (v69 = 0 & v65 = 0))))))) &  ! [v59] :  ! [v60] : ( ~ (relation_rng(v59) = v60) |  ? [v61] :  ? [v62] : (relation_dom(v59) = v62 & relation(v59) = v61 & ( ~ (v61 = 0) |  ! [v63] :  ! [v64] : ( ~ (relation_rng(v63) = v64) |  ~ (subset(v62, v64) = 0) |  ? [v65] :  ? [v66] :  ? [v67] : (relation_composition(v63, v59) = v66 & relation_rng(v66) = v67 & relation(v63) = v65 & ( ~ (v65 = 0) | v67 = v60)))))) &  ! [v59] :  ! [v60] : ( ~ (relation_rng(v59) = v60) |  ? [v61] :  ? [v62] : (relation_dom(v59) = v62 & relation(v59) = v61 & ( ~ (v61 = 0) |  ! [v63] :  ! [v64] : ( ~ (relation_dom(v63) = v64) |  ~ (subset(v60, v64) = 0) |  ? [v65] :  ? [v66] :  ? [v67] : (relation_composition(v59, v63) = v66 & relation_dom(v66) = v67 & relation(v63) = v65 & ( ~ (v65 = 0) | v67 = v62)))))) &  ! [v59] :  ! [v60] : ( ~ (relation_rng(v59) = v60) |  ? [v61] :  ? [v62] : (relation_dom(v59) = v62 & relation(v59) = v61 & ( ~ (v61 = 0) | (( ~ (v62 = empty_set) | v60 = empty_set) & ( ~ (v60 = empty_set) | v62 = empty_set))))) &  ! [v59] :  ! [v60] : ( ~ (topological_space(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (top_str(v59) = v61 & the_carrier(v59) = v62 & powerset(v62) = v63 & ( ~ (v61 = 0) |  ! [v64] : ( ~ (element(v64, v63) = 0) |  ? [v65] :  ? [v66] : (closed_subset(v64, v59) = v65 & topstr_closure(v59, v64) = v66 & ( ~ (v66 = v64) |  ~ (v60 = 0) | v65 = 0) & ( ~ (v65 = 0) | v66 = v64)))))) &  ! [v59] :  ! [v60] : ( ~ (connected(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] : (relation_field(v59) = v62 & relation(v59) = v61 & ( ~ (v61 = 0) | (( ~ (v60 = 0) |  ! [v71] :  ! [v72] : (v72 = v71 |  ~ (in(v72, v62) = 0) |  ~ (in(v71, v62) = 0) |  ? [v73] :  ? [v74] :  ? [v75] :  ? [v76] : (ordered_pair(v72, v71) = v75 & ordered_pair(v71, v72) = v73 & in(v75, v59) = v76 & in(v73, v59) = v74 & (v76 = 0 | v74 = 0)))) & (v60 = 0 | (v66 = 0 & v65 = 0 &  ~ (v70 = 0) &  ~ (v68 = 0) &  ~ (v64 = v63) & ordered_pair(v64, v63) = v69 & ordered_pair(v63, v64) = v67 & in(v69, v59) = v70 & in(v67, v59) = v68 & in(v64, v62) = 0 & in(v63, v62) = 0)))))) &  ! [v59] :  ! [v60] : ( ~ (disjoint(v59, v60) = 0) | set_difference(v59, v60) = v59) &  ! [v59] :  ! [v60] : ( ~ (disjoint(v59, v60) = 0) | disjoint(v60, v59) = 0) &  ! [v59] :  ! [v60] : ( ~ (disjoint(v59, v60) = 0) | set_intersection2(v59, v60) = empty_set) &  ! [v59] :  ! [v60] : ( ~ (disjoint(v59, v60) = 0) |  ? [v61] : (set_intersection2(v59, v60) = v61 &  ! [v62] :  ~ (in(v62, v61) = 0))) &  ! [v59] :  ! [v60] : ( ~ (identity_relation(v59) = v60) | relation_rng(v60) = v59) &  ! [v59] :  ! [v60] : ( ~ (identity_relation(v59) = v60) | relation_dom(v60) = v59) &  ! [v59] :  ! [v60] : ( ~ (identity_relation(v59) = v60) | relation(v60) = 0) &  ! [v59] :  ! [v60] : ( ~ (identity_relation(v59) = v60) | function(v60) = 0) &  ! [v59] :  ! [v60] : ( ~ (empty_carrier(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (one_sorted_str(v59) = v61 & the_carrier(v59) = v62 & empty(v62) = v63 & ( ~ (v61 = 0) | (( ~ (v63 = 0) | v60 = 0) & ( ~ (v60 = 0) | v63 = 0))))) &  ! [v59] :  ! [v60] : ( ~ (unordered_pair(v59, v59) = v60) | singleton(v59) = v60) &  ! [v59] :  ! [v60] : ( ~ (one_to_one(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (relation_dom(v59) = v63 & relation(v59) = v61 & function(v59) = v62 & ( ~ (v62 = 0) |  ~ (v61 = 0) | (( ~ (v60 = 0) |  ! [v70] :  ! [v71] : (v71 = v70 |  ~ (in(v71, v63) = 0) |  ~ (in(v70, v63) = 0) |  ? [v72] :  ? [v73] : ( ~ (v73 = v72) & apply(v59, v71) = v73 & apply(v59, v70) = v72))) & (v60 = 0 | (v69 = v68 & v67 = 0 & v66 = 0 &  ~ (v65 = v64) & apply(v59, v65) = v68 & apply(v59, v64) = v68 & in(v65, v63) = 0 & in(v64, v63) = 0)))))) &  ! [v59] :  ! [v60] : ( ~ (one_to_one(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (relation(v59) = v61 & function(v59) = v63 & empty(v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0) |  ~ (v61 = 0) | v60 = 0))) &  ! [v59] :  ! [v60] : ( ~ (relation(v59) = 0) |  ~ (in(v60, v59) = 0) |  ? [v61] :  ? [v62] : ordered_pair(v61, v62) = v60) &  ! [v59] :  ! [v60] : ( ~ (epsilon_connected(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] : (epsilon_transitive(v59) = v62 & ordinal(v59) = v63 & empty(v59) = v61 & ( ~ (v61 = 0) | (v63 = 0 & v62 = 0 & v60 = 0)))) &  ! [v59] :  ! [v60] : ( ~ (epsilon_connected(v59) = v60) |  ? [v61] :  ? [v62] : (epsilon_transitive(v59) = v62 & ordinal(v59) = v61 & ( ~ (v61 = 0) | (v62 = 0 & v60 = 0)))) &  ! [v59] :  ! [v60] : ( ~ (epsilon_transitive(v59) = 0) |  ~ (proper_subset(v59, v60) = 0) |  ? [v61] :  ? [v62] : (ordinal(v60) = v61 & in(v59, v60) = v62 & ( ~ (v61 = 0) | v62 = 0))) &  ! [v59] :  ! [v60] : ( ~ (powerset(v59) = v60) | union(v60) = v59) &  ! [v59] :  ! [v60] : ( ~ (powerset(v59) = v60) | preboolean(v60) = 0) &  ! [v59] :  ! [v60] : ( ~ (powerset(v59) = v60) | cup_closed(v60) = 0) &  ! [v59] :  ! [v60] : ( ~ (powerset(v59) = v60) | diff_closed(v60) = 0) &  ! [v59] :  ! [v60] : ( ~ (powerset(v59) = v60) |  ? [v61] : ( ~ (v61 = 0) & empty(v60) = v61)) &  ! [v59] :  ! [v60] : ( ~ (powerset(v59) = v60) |  ? [v61] : (one_to_one(v61) = 0 & relation(v61) = 0 & function(v61) = 0 & finite(v61) = 0 & epsilon_connected(v61) = 0 & epsilon_transitive(v61) = 0 & ordinal(v61) = 0 & empty(v61) = 0 & natural(v61) = 0 & element(v61, v60) = 0)) &  ! [v59] :  ! [v60] : ( ~ (powerset(v59) = v60) |  ? [v61] : (empty(v61) = 0 & element(v61, v60) = 0)) &  ! [v59] :  ! [v60] : ( ~ (v5_membered(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (empty(v59) = v61 & v4_membered(v59) = v65 & v3_membered(v59) = v64 & v2_membered(v59) = v63 & v1_membered(v59) = v62 & ( ~ (v61 = 0) | (v65 = 0 & v64 = 0 & v63 = 0 & v62 = 0 & v60 = 0)))) &  ! [v59] :  ! [v60] : ( ~ (natural(v59) = v60) |  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] : (epsilon_connected(v59) = v64 & epsilon_transitive(v59) = v63 & ordinal(v59) = v62 & empty(v59) = v61 & ( ~ (v62 = 0) |  ~ (v61 = 0) | (v64 = 0 & v63 = 0 & v60 = 0)))) &  ! [v59] :  ! [v60] : ( ~ (element(v59, v60) = 0) |  ? [v61] :  ? [v62] : (empty(v60) = v61 & in(v59, v60) = v62 & (v62 = 0 | v61 = 0))) &  ! [v59] :  ! [v60] : ( ~ (proper_subset(v60, v59) = 0) |  ? [v61] : ( ~ (v61 = 0) & subset(v59, v60) = v61)) &  ! [v59] :  ! [v60] : ( ~ (proper_subset(v59, v60) = 0) | subset(v59, v60) = 0) &  ! [v59] :  ! [v60] : ( ~ (proper_subset(v59, v60) = 0) |  ? [v61] : ( ~ (v61 = 0) & proper_subset(v60, v59) = v61)) &  ! [v59] :  ! [v60] : ( ~ (in(v59, v60) = 0) |  ? [v61] : ( ~ (v61 = 0) & empty(v60) = v61)) &  ! [v59] :  ! [v60] : ( ~ (in(v59, v60) = 0) |  ? [v61] : ( ~ (v61 = 0) & in(v60, v59) = v61)) &  ! [v59] :  ! [v60] : ( ~ (in(v59, v60) = 0) |  ? [v61] : (in(v61, v60) = 0 &  ! [v62] : ( ~ (in(v62, v60) = 0) |  ? [v63] : ( ~ (v63 = 0) & in(v62, v61) = v63)))) &  ? [v59] :  ! [v60] : ( ~ (function(v60) = 0) |  ? [v61] :  ? [v62] : (relation_dom(v60) = v62 & relation(v60) = v61 & ( ~ (v61 = 0) |  ! [v63] :  ! [v64] :  ! [v65] :  ! [v66] : ( ~ (relation_composition(v63, v60) = v64) |  ~ (relation_dom(v64) = v65) |  ~ (in(v59, v65) = v66) |  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] : (relation_dom(v63) = v69 & apply(v63, v59) = v71 & relation(v63) = v67 & function(v63) = v68 & in(v71, v62) = v72 & in(v59, v69) = v70 & ( ~ (v68 = 0) |  ~ (v67 = 0) | (( ~ (v72 = 0) |  ~ (v70 = 0) | v66 = 0) & ( ~ (v66 = 0) | (v72 = 0 & v70 = 0))))))))) &  ? [v59] :  ! [v60] : ( ~ (function(v60) = 0) |  ? [v61] :  ? [v62] : (relation_dom(v60) = v62 & relation(v60) = v61 & ( ~ (v61 = 0) |  ! [v63] :  ! [v64] :  ! [v65] : ( ~ (relation_dom(v63) = v64) |  ~ (set_intersection2(v64, v59) = v65) |  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] : (relation_dom_restriction(v63, v59) = v68 & relation(v63) = v66 & function(v63) = v67 & ( ~ (v67 = 0) |  ~ (v66 = 0) | (( ~ (v68 = v60) | (v65 = v62 &  ! [v73] : ( ~ (in(v73, v62) = 0) |  ? [v74] : (apply(v63, v73) = v74 & apply(v60, v73) = v74)))) & ( ~ (v65 = v62) | v68 = v60 | (v70 = 0 &  ~ (v72 = v71) & apply(v63, v69) = v72 & apply(v60, v69) = v71 & in(v69, v62) = 0))))))))) &  ? [v59] :  ! [v60] : ( ~ (ordinal(v60) = 0) |  ? [v61] :  ? [v62] :  ? [v63] : ((v63 = 0 & v62 = 0 & ordinal(v61) = 0 & in(v61, v59) = 0 &  ! [v64] :  ! [v65] : (v65 = 0 |  ~ (ordinal_subset(v61, v64) = v65) |  ? [v66] :  ? [v67] : (ordinal(v64) = v66 & in(v64, v59) = v67 & ( ~ (v67 = 0) |  ~ (v66 = 0))))) | ( ~ (v61 = 0) & in(v60, v59) = v61))) &  ! [v59] : (v59 = empty_set |  ~ (set_meet(empty_set) = v59)) &  ! [v59] : (v59 = empty_set |  ~ (subset(v59, empty_set) = 0)) &  ! [v59] : (v59 = empty_set |  ~ (relation(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] : (ordered_pair(v60, v61) = v62 & in(v62, v59) = 0)) &  ! [v59] : (v59 = empty_set |  ~ (empty(v59) = 0)) &  ! [v59] : (v59 = omega |  ~ (in(empty_set, v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] : ((v63 = 0 & v62 = 0 & v61 = 0 &  ~ (v64 = 0) & being_limit_ordinal(v60) = 0 & subset(v59, v60) = v64 & ordinal(v60) = 0 & in(empty_set, v60) = 0) | (being_limit_ordinal(v59) = v60 & ordinal(v59) = v61 & ( ~ (v61 = 0) |  ~ (v60 = 0))))) &  ! [v59] : ( ~ (meet_absorbing(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] :  ? [v63] : (latt_str(v59) = v62 & meet_commutative(v59) = v61 & the_carrier(v59) = v63 & empty_carrier(v59) = v60 & ( ~ (v62 = 0) |  ~ (v61 = 0) | v60 = 0 |  ! [v64] :  ! [v65] :  ! [v66] :  ! [v67] : (v67 = 0 |  ~ (below(v59, v66, v64) = v67) |  ~ (meet_commut(v59, v64, v65) = v66) |  ~ (element(v64, v63) = 0) |  ? [v68] : ( ~ (v68 = 0) & element(v65, v63) = v68))))) &  ! [v59] : ( ~ (latt_str(v59) = 0) | (meet_semilatt_str(v59) = 0 & join_semilatt_str(v59) = 0)) &  ! [v59] : ( ~ (antisymmetric_relstr(v59) = 0) |  ? [v60] :  ? [v61] : (rel_str(v59) = v60 & the_carrier(v59) = v61 & ( ~ (v60 = 0) |  ! [v62] :  ! [v63] : (v63 = v62 |  ~ (element(v63, v61) = 0) |  ~ (element(v62, v61) = 0) |  ? [v64] :  ? [v65] : (related(v59, v63, v62) = v65 & related(v59, v62, v63) = v64 & ( ~ (v65 = 0) |  ~ (v64 = 0))))))) &  ! [v59] : ( ~ (rel_str(v59) = 0) | one_sorted_str(v59) = 0) &  ! [v59] : ( ~ (transitive_relstr(v59) = 0) |  ? [v60] :  ? [v61] : (rel_str(v59) = v60 & the_carrier(v59) = v61 & ( ~ (v60 = 0) |  ! [v62] :  ! [v63] : ( ~ (element(v63, v61) = 0) |  ~ (element(v62, v61) = 0) |  ? [v64] : (related(v59, v62, v63) = v64 &  ! [v65] : ( ~ (v64 = 0) |  ~ (element(v65, v61) = 0) |  ? [v66] :  ? [v67] : (related(v59, v63, v65) = v66 & related(v59, v62, v65) = v67 & ( ~ (v66 = 0) | v67 = 0)))))))) &  ! [v59] : ( ~ (union(v59) = v59) | being_limit_ordinal(v59) = 0) &  ! [v59] : ( ~ (one_sorted_str(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] : (the_carrier(v59) = v60 & powerset(v61) = v62 & powerset(v60) = v61 &  ! [v63] : ( ~ (element(v63, v62) = 0) |  ? [v64] :  ? [v65] :  ? [v66] : (complements_of_subsets(v60, v63) = v64 & finite(v64) = v65 & finite(v63) = v66 & ( ~ (v66 = 0) | v65 = 0) & ( ~ (v65 = 0) | v66 = 0))))) &  ! [v59] :  ~ (singleton(v59) = empty_set) &  ! [v59] : ( ~ (topological_space(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] : (top_str(v59) = v61 & the_carrier(v59) = v62 & empty_carrier(v59) = v60 & powerset(v62) = v63 & ( ~ (v61 = 0) | v60 = 0 | (v67 = 0 & v65 = 0 &  ~ (v66 = 0) & closed_subset(v64, v59) = 0 & empty(v64) = v66 & element(v64, v63) = 0)))) &  ! [v59] : ( ~ (topological_space(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (top_str(v59) = v60 & the_carrier(v59) = v61 & powerset(v61) = v62 & ( ~ (v60 = 0) | (v66 = 0 & v65 = 0 & v64 = 0 & closed_subset(v63, v59) = 0 & open_subset(v63, v59) = 0 & element(v63, v62) = 0)))) &  ! [v59] : ( ~ (topological_space(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (top_str(v59) = v60 & the_carrier(v59) = v61 & powerset(v61) = v62 & ( ~ (v60 = 0) | (v65 = 0 & v64 = 0 & closed_subset(v63, v59) = 0 & element(v63, v62) = 0)))) &  ! [v59] : ( ~ (topological_space(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] : (top_str(v59) = v60 & the_carrier(v59) = v61 & powerset(v61) = v62 & ( ~ (v60 = 0) | (v65 = 0 & v64 = 0 & open_subset(v63, v59) = 0 & element(v63, v62) = 0)))) &  ! [v59] : ( ~ (topological_space(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] :  ? [v63] : (top_str(v59) = v61 & the_carrier(v59) = v62 & empty_carrier(v59) = v60 & powerset(v62) = v63 & ( ~ (v61 = 0) | v60 = 0 |  ! [v64] :  ! [v65] : ( ~ (element(v65, v63) = 0) |  ~ (element(v64, v62) = 0) |  ? [v66] :  ? [v67] :  ? [v68] : (point_neighbourhood(v65, v59, v64) = v66 & interior(v59, v65) = v67 & in(v64, v67) = v68 & ( ~ (v68 = 0) | v66 = 0) & ( ~ (v66 = 0) | v68 = 0)))))) &  ! [v59] : ( ~ (topological_space(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] :  ? [v63] : (top_str(v59) = v60 & the_carrier(v59) = v61 & powerset(v62) = v63 & powerset(v61) = v62 & ( ~ (v60 = 0) |  ! [v64] : ( ~ (element(v64, v63) = 0) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : ((v67 = 0 & v66 = 0 &  ~ (v68 = 0) & closed_subset(v65, v59) = v68 & element(v65, v62) = 0 & in(v65, v64) = 0) | (v66 = 0 & meet_of_subsets(v61, v64) = v65 & closed_subset(v65, v59) = 0)))))) &  ! [v59] : ( ~ (topological_space(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] :  ? [v63] : (top_str(v59) = v60 & the_carrier(v59) = v61 & powerset(v62) = v63 & powerset(v61) = v62 & ( ~ (v60 = 0) |  ! [v64] : ( ~ (element(v64, v62) = 0) |  ? [v65] :  ? [v66] : (meet_of_subsets(v61, v66) = v65 & topstr_closure(v59, v64) = v65 & element(v66, v63) = 0 &  ! [v67] : ( ~ (element(v67, v62) = 0) |  ? [v68] :  ? [v69] :  ? [v70] : (closed_subset(v67, v59) = v69 & subset(v64, v67) = v70 & in(v67, v66) = v68 & ( ~ (v70 = 0) |  ~ (v69 = 0) | v68 = 0) & ( ~ (v68 = 0) | (v70 = 0 & v69 = 0))))))))) &  ! [v59] : ( ~ (topological_space(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] : (top_str(v59) = v60 & the_carrier(v59) = v61 & powerset(v61) = v62 & ( ~ (v60 = 0) |  ! [v63] : ( ~ (top_str(v63) = 0) |  ? [v64] :  ? [v65] : (the_carrier(v63) = v64 & powerset(v64) = v65 &  ! [v66] : ( ~ (element(v66, v62) = 0) |  ? [v67] :  ? [v68] : (interior(v59, v66) = v67 & open_subset(v66, v59) = v68 &  ! [v69] : ( ~ (v67 = v66) | v68 = 0 |  ~ (element(v69, v65) = 0)) &  ! [v69] : ( ~ (element(v69, v65) = 0) |  ? [v70] :  ? [v71] : (interior(v63, v69) = v71 & open_subset(v69, v63) = v70 & ( ~ (v70 = 0) | v71 = v69)))))))))) &  ! [v59] : ( ~ (topological_space(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] : (top_str(v59) = v60 & the_carrier(v59) = v61 & powerset(v61) = v62 & ( ~ (v60 = 0) |  ! [v63] : ( ~ (element(v63, v62) = 0) |  ? [v64] : (interior(v59, v63) = v64 & open_subset(v64, v59) = 0))))) &  ! [v59] : ( ~ (top_str(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] : (the_carrier(v59) = v60 & powerset(v61) = v62 & powerset(v60) = v61 &  ! [v63] : ( ~ (element(v63, v62) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (closed_subsets(v63, v59) = v64 & ( ~ (v64 = 0) |  ! [v69] : ( ~ (element(v69, v61) = 0) |  ? [v70] :  ? [v71] : (closed_subset(v69, v59) = v71 & in(v69, v63) = v70 & ( ~ (v70 = 0) | v71 = 0)))) & (v64 = 0 | (v67 = 0 & v66 = 0 &  ~ (v68 = 0) & closed_subset(v65, v59) = v68 & element(v65, v61) = 0 & in(v65, v63) = 0)))))) &  ! [v59] : ( ~ (top_str(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] : (the_carrier(v59) = v60 & powerset(v61) = v62 & powerset(v60) = v61 &  ! [v63] : ( ~ (element(v63, v62) = 0) |  ? [v64] :  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] : (open_subsets(v63, v59) = v64 & ( ~ (v64 = 0) |  ! [v69] : ( ~ (element(v69, v61) = 0) |  ? [v70] :  ? [v71] : (open_subset(v69, v59) = v71 & in(v69, v63) = v70 & ( ~ (v70 = 0) | v71 = 0)))) & (v64 = 0 | (v67 = 0 & v66 = 0 &  ~ (v68 = 0) & open_subset(v65, v59) = v68 & element(v65, v61) = 0 & in(v65, v63) = 0)))))) &  ! [v59] : ( ~ (top_str(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] : (the_carrier(v59) = v60 & powerset(v61) = v62 & powerset(v60) = v61 &  ! [v63] : ( ~ (element(v63, v62) = 0) |  ? [v64] :  ? [v65] :  ? [v66] : (complements_of_subsets(v60, v63) = v65 & closed_subsets(v65, v59) = v66 & open_subsets(v63, v59) = v64 & ( ~ (v66 = 0) | v64 = 0) & ( ~ (v64 = 0) | v66 = 0))))) &  ! [v59] : ( ~ (top_str(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] : (the_carrier(v59) = v60 & powerset(v61) = v62 & powerset(v60) = v61 &  ! [v63] : ( ~ (element(v63, v62) = 0) |  ? [v64] :  ? [v65] :  ? [v66] : (complements_of_subsets(v60, v63) = v65 & closed_subsets(v63, v59) = v64 & open_subsets(v65, v59) = v66 & ( ~ (v66 = 0) | v64 = 0) & ( ~ (v64 = 0) | v66 = 0))))) &  ! [v59] : ( ~ (top_str(v59) = 0) |  ? [v60] :  ? [v61] : (the_carrier(v59) = v60 & powerset(v60) = v61 &  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : ( ~ (subset_complement(v60, v64) = v65) |  ~ (subset_complement(v60, v62) = v63) |  ~ (topstr_closure(v59, v63) = v64) |  ? [v66] :  ? [v67] : (interior(v59, v62) = v67 & element(v62, v61) = v66 & ( ~ (v66 = 0) | v67 = v65))))) &  ! [v59] : ( ~ (top_str(v59) = 0) |  ? [v60] :  ? [v61] : (the_carrier(v59) = v60 & powerset(v60) = v61 &  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (closed_subset(v63, v59) = v64) |  ~ (subset_complement(v60, v62) = v63) |  ? [v65] :  ? [v66] : (open_subset(v62, v59) = v66 & element(v62, v61) = v65 & ( ~ (v65 = 0) | (( ~ (v66 = 0) | v64 = 0) & ( ~ (v64 = 0) | v66 = 0))))))) &  ! [v59] : ( ~ (top_str(v59) = 0) |  ? [v60] :  ? [v61] : (the_carrier(v59) = v60 & powerset(v60) = v61 &  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (subset_complement(v60, v62) = v63) |  ~ (open_subset(v63, v59) = v64) |  ? [v65] :  ? [v66] : (closed_subset(v62, v59) = v66 & element(v62, v61) = v65 & ( ~ (v65 = 0) | (( ~ (v66 = 0) | v64 = 0) & ( ~ (v64 = 0) | v66 = 0))))))) &  ! [v59] : ( ~ (top_str(v59) = 0) |  ? [v60] :  ? [v61] : (the_carrier(v59) = v60 & powerset(v60) = v61 &  ! [v62] : ( ~ (element(v62, v61) = 0) |  ? [v63] : (interior(v59, v62) = v63 & subset(v63, v62) = 0)))) &  ! [v59] : ( ~ (top_str(v59) = 0) |  ? [v60] :  ? [v61] : (the_carrier(v59) = v60 & powerset(v60) = v61 &  ! [v62] : ( ~ (element(v62, v61) = 0) |  ? [v63] : (topstr_closure(v59, v62) = v63 & subset(v62, v63) = 0)))) &  ! [v59] : ( ~ (top_str(v59) = 0) |  ? [v60] :  ? [v61] : (the_carrier(v59) = v60 & powerset(v60) = v61 &  ! [v62] : ( ~ (element(v62, v61) = 0) |  ? [v63] : (topstr_closure(v59, v62) = v63 &  ! [v64] :  ! [v65] : (v65 = 0 |  ~ (in(v64, v63) = v65) |  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] : ((v69 = 0 & v68 = 0 & v67 = 0 &  ~ (v70 = 0) & closed_subset(v66, v59) = 0 & subset(v62, v66) = 0 & element(v66, v61) = 0 & in(v64, v66) = v70) | ( ~ (v66 = 0) & in(v64, v60) = v66))) &  ! [v64] :  ! [v65] : ( ~ (element(v65, v61) = 0) |  ~ (in(v64, v63) = 0) |  ? [v66] :  ? [v67] :  ? [v68] : (( ~ (v66 = 0) & in(v64, v60) = v66) | (closed_subset(v65, v59) = v66 & subset(v62, v65) = v67 & in(v64, v65) = v68 & ( ~ (v67 = 0) |  ~ (v66 = 0) | v68 = 0)))))))) &  ! [v59] : ( ~ (top_str(v59) = 0) |  ? [v60] :  ? [v61] : (the_carrier(v59) = v60 & powerset(v60) = v61 &  ! [v62] : ( ~ (element(v62, v61) = 0) |  ? [v63] : (topstr_closure(v59, v62) = v63 &  ! [v64] : (v64 = v63 |  ~ (element(v64, v61) = 0) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] : (in(v65, v64) = v66 & in(v65, v60) = 0 & ( ~ (v66 = 0) | (v71 = 0 & v70 = 0 & v69 = 0 & v68 = 0 & open_subset(v67, v59) = 0 & disjoint(v62, v67) = 0 & element(v67, v61) = 0 & in(v65, v67) = 0)) & (v66 = 0 |  ! [v72] : ( ~ (element(v72, v61) = 0) |  ? [v73] :  ? [v74] :  ? [v75] : (open_subset(v72, v59) = v73 & disjoint(v62, v72) = v75 & in(v65, v72) = v74 & ( ~ (v75 = 0) |  ~ (v74 = 0) |  ~ (v73 = 0))))))) &  ! [v64] : ( ~ (element(v63, v61) = 0) |  ~ (in(v64, v60) = 0) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] : (in(v64, v63) = v65 & ( ~ (v65 = 0) |  ! [v71] : ( ~ (element(v71, v61) = 0) |  ? [v72] :  ? [v73] :  ? [v74] : (open_subset(v71, v59) = v72 & disjoint(v62, v71) = v74 & in(v64, v71) = v73 & ( ~ (v74 = 0) |  ~ (v73 = 0) |  ~ (v72 = 0))))) & (v65 = 0 | (v70 = 0 & v69 = 0 & v68 = 0 & v67 = 0 & open_subset(v66, v59) = 0 & disjoint(v62, v66) = 0 & element(v66, v61) = 0 & in(v64, v66) = 0)))))))) &  ! [v59] : ( ~ (meet_semilatt_str(v59) = 0) | one_sorted_str(v59) = 0) &  ! [v59] : ( ~ (join_commutative(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] : (the_carrier(v59) = v62 & empty_carrier(v59) = v60 & join_semilatt_str(v59) = v61 & ( ~ (v61 = 0) | v60 = 0 |  ! [v63] :  ! [v64] : (v64 = v63 |  ~ (element(v64, v62) = 0) |  ~ (element(v63, v62) = 0) |  ? [v65] :  ? [v66] : (below(v59, v64, v63) = v66 & below(v59, v63, v64) = v65 & ( ~ (v66 = 0) |  ~ (v65 = 0))))))) &  ! [v59] : ( ~ (join_semilatt_str(v59) = 0) | one_sorted_str(v59) = 0) &  ! [v59] : ( ~ (join_semilatt_str(v59) = 0) |  ? [v60] :  ? [v61] : (the_carrier(v59) = v61 & empty_carrier(v59) = v60 & (v60 = 0 |  ! [v62] :  ! [v63] : ( ~ (element(v63, v61) = 0) |  ~ (element(v62, v61) = 0) |  ? [v64] :  ? [v65] : (below(v59, v62, v63) = v64 & join(v59, v62, v63) = v65 & ( ~ (v65 = v63) | v64 = 0) & ( ~ (v64 = 0) | v65 = v63)))))) &  ! [v59] : ( ~ (function(v59) = 0) |  ? [v60] :  ? [v61] : (relation_dom(v59) = v61 & relation(v59) = v60 & ( ~ (v60 = 0) | ( ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] :  ! [v66] : (v65 = 0 |  ~ (relation_image(v59, v62) = v63) |  ~ (in(v66, v61) = 0) |  ~ (in(v64, v63) = v65) |  ? [v67] :  ? [v68] : (apply(v59, v66) = v68 & in(v66, v62) = v67 & ( ~ (v68 = v64) |  ~ (v67 = 0)))) &  ! [v62] :  ! [v63] :  ! [v64] : ( ~ (relation_image(v59, v62) = v63) |  ~ (in(v64, v63) = 0) |  ? [v65] : (apply(v59, v65) = v64 & in(v65, v62) = 0 & in(v65, v61) = 0)) &  ? [v62] :  ! [v63] :  ! [v64] : (v64 = v62 |  ~ (relation_image(v59, v63) = v64) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] : (in(v65, v62) = v66 & ( ~ (v66 = 0) |  ! [v71] : ( ~ (in(v71, v61) = 0) |  ? [v72] :  ? [v73] : (apply(v59, v71) = v73 & in(v71, v63) = v72 & ( ~ (v73 = v65) |  ~ (v72 = 0))))) & (v66 = 0 | (v70 = v65 & v69 = 0 & v68 = 0 & apply(v59, v67) = v65 & in(v67, v63) = 0 & in(v67, v61) = 0)))))))) &  ! [v59] : ( ~ (function(v59) = 0) |  ? [v60] :  ? [v61] : (relation_dom(v59) = v61 & relation(v59) = v60 & ( ~ (v60 = 0) | ( ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] :  ! [v66] : ( ~ (relation_inverse_image(v59, v62) = v63) |  ~ (apply(v59, v64) = v65) |  ~ (in(v65, v62) = v66) |  ? [v67] :  ? [v68] : (in(v64, v63) = v67 & in(v64, v61) = v68 & ( ~ (v67 = 0) | (v68 = 0 & v66 = 0)))) &  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : ( ~ (relation_inverse_image(v59, v62) = v63) |  ~ (apply(v59, v64) = v65) |  ~ (in(v65, v62) = 0) |  ? [v66] :  ? [v67] : (in(v64, v63) = v67 & in(v64, v61) = v66 & ( ~ (v66 = 0) | v67 = 0))) &  ? [v62] :  ! [v63] :  ! [v64] : (v64 = v62 |  ~ (relation_inverse_image(v59, v63) = v64) |  ? [v65] :  ? [v66] :  ? [v67] :  ? [v68] :  ? [v69] : (apply(v59, v65) = v68 & in(v68, v63) = v69 & in(v65, v62) = v66 & in(v65, v61) = v67 & ( ~ (v69 = 0) |  ~ (v67 = 0) |  ~ (v66 = 0)) & (v66 = 0 | (v69 = 0 & v67 = 0)))))))) &  ! [v59] : ( ~ (function(v59) = 0) |  ? [v60] :  ? [v61] : (relation_dom(v59) = v61 & relation(v59) = v60 & ( ~ (v60 = 0) | ( ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] : ( ~ (ordered_pair(v62, v63) = v64) |  ~ (in(v64, v59) = v65) |  ? [v66] :  ? [v67] : (apply(v59, v62) = v67 & in(v62, v61) = v66 & ( ~ (v66 = 0) | (( ~ (v67 = v63) | v65 = 0) & ( ~ (v65 = 0) | v67 = v63))))) &  ? [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (in(v63, v61) = v64) |  ? [v65] : (apply(v59, v63) = v65 & ( ~ (v65 = v62) | v62 = empty_set) & ( ~ (v62 = empty_set) | v65 = empty_set))))))) &  ! [v59] : ( ~ (preboolean(v59) = 0) | (cup_closed(v59) = 0 & diff_closed(v59) = 0)) &  ! [v59] : ( ~ (finite(v59) = 0) |  ? [v60] :  ? [v61] : (relation_rng(v60) = v59 & relation_dom(v60) = v61 & relation(v60) = 0 & function(v60) = 0 & in(v61, omega) = 0)) &  ! [v59] : ( ~ (finite(v59) = 0) |  ? [v60] :  ? [v61] : (powerset(v60) = v61 & powerset(v59) = v60 &  ! [v62] : (v62 = empty_set |  ~ (element(v62, v61) = 0) |  ? [v63] : (in(v63, v62) = 0 &  ! [v64] : (v64 = v63 |  ~ (subset(v63, v64) = 0) |  ? [v65] : ( ~ (v65 = 0) & in(v64, v62) = v65)))))) &  ! [v59] : ( ~ (finite(v59) = 0) |  ? [v60] : (powerset(v59) = v60 &  ! [v61] : ( ~ (element(v61, v60) = 0) | finite(v61) = 0))) &  ! [v59] : ( ~ (epsilon_connected(v59) = 0) |  ? [v60] :  ? [v61] : (epsilon_transitive(v59) = v60 & ordinal(v59) = v61 & ( ~ (v60 = 0) | v61 = 0))) &  ! [v59] : ( ~ (empty(v59) = 0) | relation(v59) = 0) &  ! [v59] : ( ~ (empty(v59) = 0) |  ? [v60] : (relation_dom(v59) = v60 & relation(v60) = 0 & empty(v60) = 0)) &  ! [v59] : ( ~ (v5_membered(v59) = 0) | v4_membered(v59) = 0) &  ! [v59] : ( ~ (v5_membered(v59) = 0) |  ? [v60] : (powerset(v59) = v60 &  ! [v61] : ( ~ (element(v61, v60) = 0) | (v5_membered(v61) = 0 & v4_membered(v61) = 0 & v3_membered(v61) = 0 & v2_membered(v61) = 0 & v1_membered(v61) = 0)))) &  ! [v59] : ( ~ (natural(v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] :  ? [v63] :  ? [v64] :  ? [v65] :  ? [v66] : (succ(v59) = v61 & epsilon_connected(v61) = v64 & epsilon_transitive(v61) = v63 & ordinal(v61) = v65 & ordinal(v59) = v60 & empty(v61) = v62 & natural(v61) = v66 & ( ~ (v60 = 0) | (v66 = 0 & v65 = 0 & v64 = 0 & v63 = 0 &  ~ (v62 = 0))))) &  ! [v59] : ( ~ (v4_membered(v59) = 0) | v3_membered(v59) = 0) &  ! [v59] : ( ~ (v4_membered(v59) = 0) |  ? [v60] : (powerset(v59) = v60 &  ! [v61] : ( ~ (element(v61, v60) = 0) | (v4_membered(v61) = 0 & v3_membered(v61) = 0 & v2_membered(v61) = 0 & v1_membered(v61) = 0)))) &  ! [v59] : ( ~ (v3_membered(v59) = 0) | v2_membered(v59) = 0) &  ! [v59] : ( ~ (v3_membered(v59) = 0) |  ? [v60] : (powerset(v59) = v60 &  ! [v61] : ( ~ (element(v61, v60) = 0) | (v3_membered(v61) = 0 & v2_membered(v61) = 0 & v1_membered(v61) = 0)))) &  ! [v59] : ( ~ (v2_membered(v59) = 0) | v1_membered(v59) = 0) &  ! [v59] : ( ~ (v2_membered(v59) = 0) |  ? [v60] : (powerset(v59) = v60 &  ! [v61] : ( ~ (element(v61, v60) = 0) | (v2_membered(v61) = 0 & v1_membered(v61) = 0)))) &  ! [v59] : ( ~ (v1_membered(v59) = 0) |  ? [v60] : (powerset(v59) = v60 &  ! [v61] : ( ~ (element(v61, v60) = 0) | v1_membered(v61) = 0))) &  ! [v59] : ( ~ (element(v59, omega) = 0) | (epsilon_connected(v59) = 0 & epsilon_transitive(v59) = 0 & ordinal(v59) = 0 & natural(v59) = 0)) &  ! [v59] :  ~ (proper_subset(v59, v59) = 0) &  ! [v59] :  ~ (in(v59, empty_set) = 0) &  ! [v59] : ( ~ (in(empty_set, v59) = 0) |  ? [v60] :  ? [v61] :  ? [v62] : (being_limit_ordinal(v59) = v61 & subset(omega, v59) = v62 & ordinal(v59) = v60 & ( ~ (v61 = 0) |  ~ (v60 = 0) | v62 = 0))) &  ? [v59] :  ? [v60] :  ? [v61] : relation_of2(v61, v59, v60) = 0 &  ? [v59] :  ? [v60] :  ? [v61] : relation_of2_as_subset(v61, v59, v60) = 0 &  ? [v59] :  ? [v60] :  ? [v61] : (relation_of2(v61, v59, v60) = 0 & quasi_total(v61, v59, v60) = 0 & relation(v61) = 0 & function(v61) = 0) &  ? [v59] :  ? [v60] :  ? [v61] : (relation_of2(v61, v59, v60) = 0 & relation(v61) = 0 & function(v61) = 0) &  ? [v59] :  ? [v60] : (v60 = v59 |  ? [v61] :  ? [v62] :  ? [v63] : (in(v61, v60) = v63 & in(v61, v59) = v62 & ( ~ (v63 = 0) |  ~ (v62 = 0)) & (v63 = 0 | v62 = 0))) &  ? [v59] :  ? [v60] : element(v60, v59) = 0 &  ? [v59] :  ? [v60] : (well_orders(v60, v59) = 0 & relation(v60) = 0) &  ? [v59] :  ? [v60] : (relation_dom(v60) = v59 & relation(v60) = 0 & function(v60) = 0 &  ! [v61] :  ! [v62] : ( ~ (singleton(v61) = v62) |  ? [v63] :  ? [v64] : (apply(v60, v61) = v64 & in(v61, v59) = v63 & ( ~ (v63 = 0) | v64 = v62)))) &  ? [v59] :  ? [v60] : (relation(v60) = 0 & function(v60) = 0 &  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] : (v64 = 0 |  ~ (ordered_pair(v61, v62) = v63) |  ~ (in(v63, v60) = v64) |  ? [v65] :  ? [v66] : (singleton(v61) = v66 & in(v61, v59) = v65 & ( ~ (v66 = v62) |  ~ (v65 = 0)))) &  ! [v61] :  ! [v62] :  ! [v63] : ( ~ (ordered_pair(v61, v62) = v63) |  ~ (in(v63, v60) = 0) | (singleton(v61) = v62 & in(v61, v59) = 0))) &  ? [v59] :  ? [v60] : (in(v59, v60) = 0 &  ! [v61] :  ! [v62] :  ! [v63] : (v63 = 0 |  ~ (powerset(v61) = v62) |  ~ (in(v62, v60) = v63) |  ? [v64] : ( ~ (v64 = 0) & in(v61, v60) = v64)) &  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (are_equipotent(v61, v60) = v62) |  ? [v63] :  ? [v64] : (subset(v61, v60) = v63 & in(v61, v60) = v64 & ( ~ (v63 = 0) | v64 = 0))) &  ! [v61] :  ! [v62] : ( ~ (subset(v62, v61) = 0) |  ? [v63] :  ? [v64] : (in(v62, v60) = v64 & in(v61, v60) = v63 & ( ~ (v63 = 0) | v64 = 0)))) &  ? [v59] :  ? [v60] : (in(v59, v60) = 0 &  ! [v61] :  ! [v62] : (v62 = 0 |  ~ (are_equipotent(v61, v60) = v62) |  ? [v63] :  ? [v64] : (subset(v61, v60) = v63 & in(v61, v60) = v64 & ( ~ (v63 = 0) | v64 = 0))) &  ! [v61] :  ! [v62] : ( ~ (subset(v62, v61) = 0) |  ? [v63] :  ? [v64] : (in(v62, v60) = v64 & in(v61, v60) = v63 & ( ~ (v63 = 0) | v64 = 0))) &  ! [v61] : ( ~ (in(v61, v60) = 0) |  ? [v62] : (in(v62, v60) = 0 &  ! [v63] : ( ~ (subset(v63, v61) = 0) | in(v63, v62) = 0)))) &  ? [v59] :  ? [v60] : ( ! [v61] :  ! [v62] :  ! [v63] : (v62 = 0 |  ~ (singleton(v63) = v61) |  ~ (in(v61, v60) = v62) |  ? [v64] : ( ~ (v64 = 0) & in(v63, v59) = v64)) &  ! [v61] : ( ~ (in(v61, v60) = 0) |  ? [v62] : (singleton(v62) = v61 & in(v62, v59) = 0))) &  ? [v59] :  ? [v60] : ( ! [v61] :  ! [v62] : ( ~ (ordinal(v61) = v62) |  ? [v63] :  ? [v64] : (in(v61, v60) = v63 & in(v61, v59) = v64 & ( ~ (v63 = 0) | (v64 = 0 & v62 = 0)))) &  ! [v61] : ( ~ (ordinal(v61) = 0) |  ? [v62] :  ? [v63] : (in(v61, v60) = v63 & in(v61, v59) = v62 & ( ~ (v62 = 0) | v63 = 0)))) &  ? [v59] :  ? [v60] : ( ! [v61] :  ! [v62] : ( ~ (ordinal(v61) = v62) |  ? [v63] :  ? [v64] : ((v64 = 0 & v63 = v61 & v62 = 0 & in(v61, v59) = 0) | ( ~ (v63 = 0) & in(v61, v60) = v63))) &  ! [v61] : ( ~ (ordinal(v61) = 0) |  ~ (in(v61, v59) = 0) | in(v61, v60) = 0)) &  ? [v59] : (v59 = empty_set |  ? [v60] : in(v60, v59) = 0) & ( ! [v59] : ( ~ (in(v59, omega) = 0) |  ? [v60] :  ? [v61] :  ? [v62] : (ordinal(v59) = v60 & powerset(v61) = v62 & powerset(v59) = v61 & ( ~ (v60 = 0) |  ! [v63] : (v63 = empty_set |  ~ (element(v63, v62) = 0) |  ? [v64] : (in(v64, v63) = 0 &  ! [v65] : (v65 = v64 |  ~ (subset(v64, v65) = 0) |  ? [v66] : ( ~ (v66 = 0) & in(v65, v63) = v66))))))) | (v27 = 0 & v23 = 0 & v18 = 0 &  ~ (v26 = empty_set) & succ(v17) = v22 & ordinal(v17) = 0 & powerset(v24) = v25 & powerset(v22) = v24 & powerset(v20) = v21 & powerset(v17) = v20 & element(v26, v25) = 0 & in(v22, omega) = 0 & in(v17, omega) = v19 &  ! [v59] : ( ~ (in(v59, v26) = 0) |  ? [v60] : ( ~ (v60 = v59) & subset(v59, v60) = 0 & in(v60, v26) = 0)) & ( ~ (v19 = 0) |  ! [v59] : (v59 = empty_set |  ~ (element(v59, v21) = 0) |  ? [v60] : (in(v60, v59) = 0 &  ! [v61] : (v61 = v60 |  ~ (subset(v60, v61) = 0) |  ? [v62] : ( ~ (v62 = 0) & in(v61, v59) = v62)))))) | (v24 = 0 & v20 = 0 & v19 = 0 & v18 = 0 &  ~ (v23 = empty_set) &  ~ (v17 = empty_set) & being_limit_ordinal(v17) = 0 & ordinal(v17) = 0 & powerset(v21) = v22 & powerset(v17) = v21 & element(v23, v22) = 0 & in(v17, omega) = 0 &  ! [v59] : ( ~ (in(v59, v23) = 0) |  ? [v60] : ( ~ (v60 = v59) & subset(v59, v60) = 0 & in(v60, v23) = 0)) &  ! [v59] : ( ~ (in(v59, omega) = 0) |  ? [v60] :  ? [v61] :  ? [v62] :  ? [v63] : (ordinal(v59) = v60 & powerset(v62) = v63 & powerset(v59) = v62 & in(v59, v17) = v61 & ( ~ (v61 = 0) |  ~ (v60 = 0) |  ! [v64] : (v64 = empty_set |  ~ (element(v64, v63) = 0) |  ? [v65] : (in(v65, v64) = 0 &  ! [v66] : (v66 = v65 |  ~ (subset(v65, v66) = 0) |  ? [v67] : ( ~ (v67 = 0) & in(v66, v64) = v67)))))))) | (v18 = 0 &  ~ (v17 = empty_set) & element(v17, v2) = 0 &  ! [v59] : ( ~ (in(v59, v17) = 0) |  ? [v60] : ( ~ (v60 = v59) & subset(v59, v60) = 0 & in(v60, v17) = 0)))) & ( ! [v59] : ( ~ (in(v59, omega) = 0) |  ? [v60] :  ? [v61] :  ? [v62] : (ordinal(v59) = v60 & powerset(v61) = v62 & powerset(v59) = v61 & ( ~ (v60 = 0) |  ! [v63] : (v63 = empty_set |  ~ (element(v63, v62) = 0) |  ? [v64] : (in(v64, v63) = 0 &  ! [v65] : (v65 = v64 |  ~ (subset(v64, v65) = 0) |  ? [v66] : ( ~ (v66 = 0) & in(v65, v63) = v66))))))) | (v16 = 0 & v12 = 0 & v11 = 0 &  ~ (v15 = empty_set) & ordinal(v10) = 0 & powerset(v13) = v14 & powerset(v10) = v13 & element(v15, v14) = 0 & in(v10, omega) = 0 &  ! [v59] : ( ~ (in(v59, v15) = 0) |  ? [v60] : ( ~ (v60 = v59) & subset(v59, v60) = 0 & in(v60, v15) = 0)) &  ! [v59] : ( ~ (in(v59, omega) = 0) |  ? [v60] :  ? [v61] :  ? [v62] :  ? [v63] : (ordinal(v59) = v60 & powerset(v62) = v63 & powerset(v59) = v62 & in(v59, v10) = v61 & ( ~ (v61 = 0) |  ~ (v60 = 0) |  ! [v64] : (v64 = empty_set |  ~ (element(v64, v63) = 0) |  ? [v65] : (in(v65, v64) = 0 &  ! [v66] : (v66 = v65 |  ~ (subset(v65, v66) = 0) |  ? [v67] : ( ~ (v67 = 0) & in(v66, v64) = v67))))))))))
% 181.02/111.28  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58 yields:
% 181.02/111.28  | (1)  ~ (all_0_6_6 = 0) &  ~ (all_0_8_8 = 0) &  ~ (all_0_11_11 = 0) &  ~ (all_0_20_20 = 0) &  ~ (all_0_22_22 = 0) &  ~ (all_0_25_25 = 0) &  ~ (all_0_28_28 = 0) &  ~ (all_0_49_49 = 0) &  ~ (all_0_54_54 = 0) &  ~ (all_0_58_58 = 0) & relation_empty_yielding(all_0_27_27) = 0 & relation_empty_yielding(all_0_30_30) = 0 & relation_empty_yielding(empty_set) = 0 & latt_str(all_0_5_5) = 0 & being_limit_ordinal(all_0_14_14) = 0 & being_limit_ordinal(omega) = 0 & rel_str(all_0_1_1) = 0 & one_sorted_str(all_0_3_3) = 0 & one_sorted_str(all_0_29_29) = 0 & singleton(empty_set) = all_0_57_57 & relation_rng(empty_set) = empty_set & topological_space(all_0_55_55) = 0 & point_neighbourhood(all_0_51_51, all_0_55_55, all_0_50_50) = all_0_49_49 & top_str(all_0_2_2) = 0 & top_str(all_0_55_55) = 0 & open_subset(all_0_51_51, all_0_55_55) = 0 & relation_dom(empty_set) = empty_set & meet_semilatt_str(all_0_0_0) = 0 & the_carrier(all_0_55_55) = all_0_53_53 & empty_carrier(all_0_29_29) = all_0_28_28 & empty_carrier(all_0_55_55) = all_0_54_54 & join_semilatt_str(all_0_4_4) = 0 & one_to_one(all_0_15_15) = 0 & one_to_one(all_0_19_19) = 0 & one_to_one(all_0_24_24) = 0 & one_to_one(empty_set) = 0 & relation(all_0_10_10) = 0 & relation(all_0_15_15) = 0 & relation(all_0_16_16) = 0 & relation(all_0_18_18) = 0 & relation(all_0_19_19) = 0 & relation(all_0_21_21) = 0 & relation(all_0_24_24) = 0 & relation(all_0_27_27) = 0 & relation(all_0_30_30) = 0 & relation(empty_set) = 0 & function(all_0_10_10) = 0 & function(all_0_15_15) = 0 & function(all_0_18_18) = 0 & function(all_0_19_19) = 0 & function(all_0_24_24) = 0 & function(all_0_30_30) = 0 & function(empty_set) = 0 & finite(all_0_9_9) = 0 & epsilon_connected(all_0_7_7) = 0 & epsilon_connected(all_0_13_13) = 0 & epsilon_connected(all_0_14_14) = 0 & epsilon_connected(all_0_19_19) = 0 & epsilon_connected(all_0_26_26) = 0 & epsilon_connected(empty_set) = 0 & epsilon_connected(omega) = 0 & epsilon_transitive(all_0_7_7) = 0 & epsilon_transitive(all_0_13_13) = 0 & epsilon_transitive(all_0_14_14) = 0 & epsilon_transitive(all_0_19_19) = 0 & epsilon_transitive(all_0_26_26) = 0 & epsilon_transitive(empty_set) = 0 & epsilon_transitive(omega) = 0 & ordinal(all_0_7_7) = 0 & ordinal(all_0_13_13) = 0 & ordinal(all_0_14_14) = 0 & ordinal(all_0_19_19) = 0 & ordinal(all_0_26_26) = 0 & ordinal(empty_set) = 0 & ordinal(omega) = 0 & powerset(all_0_53_53) = all_0_52_52 & powerset(all_0_57_57) = all_0_56_56 & powerset(empty_set) = all_0_57_57 & 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(all_0_15_15) = 0 & empty(all_0_16_16) = 0 & empty(all_0_17_17) = 0 & empty(all_0_18_18) = 0 & empty(all_0_19_19) = 0 & empty(all_0_21_21) = all_0_20_20 & empty(all_0_23_23) = all_0_22_22 & empty(all_0_26_26) = all_0_25_25 & empty(empty_set) = 0 & empty(omega) = all_0_58_58 & v5_membered(all_0_12_12) = 0 & v5_membered(empty_set) = 0 & natural(all_0_7_7) = 0 & v4_membered(all_0_12_12) = 0 & v4_membered(empty_set) = 0 & v3_membered(all_0_12_12) = 0 & v3_membered(empty_set) = 0 & v2_membered(all_0_12_12) = 0 & v2_membered(empty_set) = 0 & v1_membered(all_0_12_12) = 0 & v1_membered(empty_set) = 0 & element(all_0_50_50, all_0_53_53) = 0 & element(all_0_51_51, all_0_52_52) = 0 & in(all_0_50_50, all_0_51_51) = 0 & in(empty_set, omega) = 0 &  ~ (centered(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] : (v1 = v0 |  ~ (apply_binary_as_element(v7, v6, v5, v4, v3, v2) = v1) |  ~ (apply_binary_as_element(v7, v6, v5, v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (apply_binary(v3, v4, v5) = v7) |  ~ (relation_of2(v3, v6, v2) = 0) |  ~ (cartesian_product2(v0, v1) = v6) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (apply_binary_as_element(v0, v1, v2, v3, v4, v5) = v14 & quasi_total(v3, v6, v2) = v11 & function(v3) = v10 & empty(v1) = v9 & empty(v0) = v8 & element(v5, v1) = v13 & element(v4, v0) = v12 & ( ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0) | v14 = v7 | 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 | v1 = empty_set |  ~ (quasi_total(v3, v0, v1) = 0) |  ~ (relation_rng(v3) = v5) |  ~ (apply(v3, v2) = v4) |  ~ (in(v4, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] : (relation_of2_as_subset(v3, v0, v1) = v8 & function(v3) = v7 & in(v2, v0) = v9 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 | v1 = empty_set |  ~ (quasi_total(v3, v0, v1) = 0) |  ~ (relation_inverse_image(v3, v2) = v4) |  ~ (in(v5, v4) = v6) |  ? [v7] :  ? [v8] :  ? [v9] : ((relation_of2_as_subset(v3, v0, v1) = v8 & function(v3) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0))) | (apply(v3, v5) = v8 & in(v8, v2) = v9 & in(v5, v0) = v7 & ( ~ (v9 = 0) |  ~ (v7 = 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_of2(v3, v6, v2) = 0) |  ~ (cartesian_product2(v0, v1) = v6) |  ~ (element(v5, v1) = 0) |  ~ (element(v4, v0) = 0) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (apply_binary_as_element(v0, v1, v2, v3, v4, v5) = v11 & quasi_total(v3, v6, v2) = v10 & function(v3) = v9 & empty(v1) = v8 & empty(v0) = v7 & element(v11, v2) = v12 & ( ~ (v10 = 0) |  ~ (v9 = 0) | v12 = 0 | v8 = 0 | v7 = 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] :  ! [v6] : ( ~ (the_carrier(v0) = v2) |  ~ (cartesian_product2(v1, v5) = v6) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v7] : (( ~ (v7 = 0) & one_sorted_str(v0) = v7) | ( ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = 0 |  ~ (ordered_pair(v10, v11) = v8) |  ~ (in(v8, v7) = v9) |  ~ (in(v8, v6) = 0) |  ? [v12] :  ? [v13] :  ? [v14] : ((v13 = 0 & v12 = v10 &  ~ (v14 = v11) & subset_complement(v2, v10) = v14 & element(v10, v3) = 0) | ( ~ (v12 = 0) & in(v10, v1) = v12))) &  ! [v8] : ( ~ (in(v8, v7) = 0) |  ? [v9] :  ? [v10] : (ordered_pair(v9, v10) = v8 & in(v9, v1) = 0 & in(v8, v6) = 0 & ( ~ (element(v9, v3) = 0) | subset_complement(v2, v9) = v10)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (the_carrier(v0) = v2) |  ~ (cartesian_product2(v1, v5) = v6) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v7] : (( ~ (v7 = 0) & one_sorted_str(v0) = v7) | ( ! [v8] :  ! [v9] :  ! [v10] : ( ~ (ordered_pair(v9, v10) = v8) |  ~ (in(v8, v6) = 0) |  ? [v11] :  ? [v12] :  ? [v13] : ((v12 = 0 & v11 = v9 &  ~ (v13 = v10) & subset_complement(v2, v9) = v13 & element(v9, v3) = 0) | (v11 = 0 & in(v8, v7) = 0) | ( ~ (v11 = 0) & in(v9, v1) = v11))) &  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (in(v8, v6) = v9) |  ? [v10] : ( ~ (v10 = 0) & in(v8, v7) = v10)) &  ! [v8] :  ! [v9] : ( ~ (in(v8, v6) = v9) |  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v13 = 0 & v12 = v8 & ordered_pair(v10, v11) = v8 & in(v10, v1) = 0 & ( ~ (element(v10, v3) = 0) | subset_complement(v2, v10) = v11)) | ( ~ (v10 = 0) & in(v8, v7) = v10)))))) &  ! [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 |  ~ (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 |  ~ (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 |  ~ (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 |  ~ (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 |  ~ (meet(v0, v1, v2) = v4) |  ~ (the_carrier(v0) = v3) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (meet_semilatt_str(v0) = v7 & empty_carrier(v0) = v6 & element(v2, v3) = v9 & element(v1, v3) = v8 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v6 = 0))) &  ! [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 |  ~ (the_topology(v0) = v1) |  ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & top_str(v0) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (join(v0, v1, v2) = v4) |  ~ (the_carrier(v0) = v3) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (empty_carrier(v0) = v6 & join_semilatt_str(v0) = v7 & element(v2, v3) = v9 & element(v1, v3) = v8 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v6 = 0))) &  ! [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 |  ~ (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 |  ~ (interior(v0, v1) = v4) |  ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] : (top_str(v0) = v6 & element(v1, v3) = v7 & ( ~ (v7 = 0) |  ~ (v6 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (topstr_closure(v0, v1) = v4) |  ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] : (top_str(v0) = v6 & element(v1, v3) = v7 & ( ~ (v7 = 0) |  ~ (v6 = 0)))) &  ! [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 |  ~ (subset_intersection2(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 |  ~ (meet_commut(v0, v1, v2) = v4) |  ~ (the_carrier(v0) = v3) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (meet_commutative(v0) = v7 & meet_semilatt_str(v0) = v8 & empty_carrier(v0) = v6 & element(v2, v3) = v10 & element(v1, v3) = v9 & ( ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v6 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (the_carrier(v0) = v3) |  ~ (join_commut(v0, v1, v2) = v4) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (empty_carrier(v0) = v6 & join_commutative(v0) = v7 & join_semilatt_str(v0) = v8 & element(v2, v3) = v10 & element(v1, v3) = v9 & ( ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v6 = 0))) &  ! [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 = v2 |  ~ (ordered_pair(v1, v3) = v5) |  ~ (ordered_pair(v1, v2) = v4) |  ~ (function(v0) = 0) |  ~ (in(v5, v0) = 0) |  ~ (in(v4, v0) = 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] : (v1 = empty_set |  ~ (quasi_total(v3, v0, v1) = 0) |  ~ (relation_inverse_image(v3, v2) = v4) |  ~ (in(v5, v4) = 0) |  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = 0 & v6 = 0 & apply(v3, v5) = v7 & in(v7, v2) = 0 & in(v5, v0) = 0) | (relation_of2_as_subset(v3, v0, v1) = v7 & function(v3) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0))))) &  ! [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] : ( ~ (subset_complement(v0, v3) = v4) |  ~ (subset(v1, v4) = v5) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v2) = 0) |  ? [v6] :  ? [v7] : (disjoint(v1, v3) = v7 & element(v3, v2) = v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 = 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 |  ~ (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 |  ~ (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 |  ~ (cast_as_carrier_subset(v0) = v1) |  ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & one_sorted_str(v0) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (closed_subset(v3, v0) = v4) |  ~ (subset_complement(v2, v1) = v3) |  ~ (the_carrier(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (topological_space(v0) = v5 & top_str(v0) = v6 & open_subset(v1, v0) = v7 & powerset(v2) = v8 & element(v1, v8) = v9 & ( ~ (v9 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (empty_carrier_subset(v0) = v1) |  ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & one_sorted_str(v0) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subset_complement(v2, v1) = v3) |  ~ (open_subset(v3, v0) = v4) |  ~ (the_carrier(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (closed_subset(v1, v0) = v7 & topological_space(v0) = v5 & top_str(v0) = v6 & powerset(v2) = v8 & element(v1, v8) = v9 & ( ~ (v9 = 0) |  ~ (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 |  ~ (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 |  ~ (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 |  ~ (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 |  ~ (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 |  ~ (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] : (v2 = 0 |  ~ (cartesian_product2(v0, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (empty(v0) = v2) |  ? [v5] : ( ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v7 = 0 |  ~ (ordered_pair(v8, v9) = v6) |  ~ (in(v9, v8) = 0) |  ~ (in(v6, v5) = v7) |  ~ (in(v6, v4) = 0) |  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v11 = 0 &  ~ (v13 = 0) & ordered_pair(v9, v10) = v12 & in(v12, v1) = v13 & in(v10, v8) = 0) | ( ~ (v10 = 0) & in(v8, v0) = v10))) &  ! [v6] : ( ~ (in(v6, v5) = 0) |  ? [v7] :  ? [v8] : (ordered_pair(v7, v8) = v6 & in(v8, v7) = 0 & in(v7, v0) = 0 & in(v6, v4) = 0 &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 |  ~ (ordered_pair(v8, v9) = v10) |  ~ (in(v10, v1) = v11) |  ? [v12] : ( ~ (v12 = 0) & in(v9, v7) = v12)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = 0 |  ~ (cartesian_product2(v0, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (empty(v0) = v2) |  ? [v5] : ( ! [v6] :  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v7, v8) = v6) |  ~ (in(v8, v7) = 0) |  ~ (in(v6, v4) = 0) |  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : ((v10 = 0 &  ~ (v12 = 0) & ordered_pair(v8, v9) = v11 & in(v11, v1) = v12 & in(v9, v7) = 0) | (v9 = 0 & in(v6, v5) = 0) | ( ~ (v9 = 0) & in(v7, v0) = v9))) &  ! [v6] :  ! [v7] : (v7 = 0 |  ~ (in(v6, v4) = v7) |  ? [v8] : ( ~ (v8 = 0) & in(v6, v5) = v8)) &  ! [v6] :  ! [v7] : ( ~ (in(v6, v4) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v13 = 0 & v12 = v8 & v11 = 0 & v10 = v6 & ordered_pair(v8, v9) = v6 & in(v9, v8) = 0 & in(v8, v0) = 0 &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (ordered_pair(v9, v14) = v15) |  ~ (in(v15, v1) = v16) |  ? [v17] : ( ~ (v17 = 0) & in(v14, v8) = v17))) | ( ~ (v8 = 0) & in(v6, v5) = v8))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (apply_binary(v4, v3, v2) = v1) |  ~ (apply_binary(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 |  ~ (related(v4, v3, v2) = v1) |  ~ (related(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 |  ~ (subset_difference(v4, v3, v2) = v1) |  ~ (subset_difference(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (below(v4, v3, v2) = v1) |  ~ (below(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (meet(v4, v3, v2) = v1) |  ~ (meet(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 |  ~ (join(v4, v3, v2) = v1) |  ~ (join(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_of2_as_subset(v4, v3, v2) = v1) |  ~ (relation_of2_as_subset(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (quasi_total(v4, v3, v2) = v1) |  ~ (quasi_total(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 = v0 |  ~ (point_neighbourhood(v4, v3, v2) = v1) |  ~ (point_neighbourhood(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (subset_intersection2(v4, v3, v2) = v1) |  ~ (subset_intersection2(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (meet_commut(v4, v3, v2) = v1) |  ~ (meet_commut(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (join_commut(v4, v3, v2) = v1) |  ~ (join_commut(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = empty_set |  ~ (meet_of_subsets(v0, v1) = v3) |  ~ (subset_difference(v0, v2, v3) = v4) |  ~ (cast_to_subset(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (complements_of_subsets(v0, v1) = v8 & union_of_subsets(v0, v8) = v9 & 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) |  ~ (cast_to_subset(v0) = v2) |  ~ (union_of_subsets(v0, v1) = v3) |  ? [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] : (v1 = empty_set |  ~ (quasi_total(v3, v0, v2) = v4) |  ~ (quasi_total(v3, v0, v1) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (relation_of2_as_subset(v3, v0, v2) = v8 & relation_of2_as_subset(v3, v0, v1) = v6 & subset(v1, v2) = v7 & function(v3) = v5 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) | (v8 = 0 & v4 = 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] : ( ~ (the_L_meet(v0) = v1) |  ~ (quasi_total(v1, v3, v2) = v4) |  ~ (the_carrier(v0) = v2) |  ~ (cartesian_product2(v2, v2) = v3) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_of2_as_subset(v1, v3, v2) = v7 & meet_semilatt_str(v0) = v5 & function(v1) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0 & v4 = 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] : ( ~ (succ(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (singleton(v0) = v7 & ordinal(v0) = v5 & powerset(v0) = v6 & ( ~ (v5 = 0) | ( ! [v9] :  ! [v10] : (v10 = 0 |  ~ (in(v9, v6) = v10) |  ? [v11] : ( ~ (v11 = 0) & in(v9, v8) = v11)) &  ! [v9] :  ! [v10] : ( ~ (set_difference(v10, v7) = v9) |  ~ (in(v9, v6) = 0) |  ? [v11] : ((v11 = 0 & in(v9, v8) = 0) | ( ~ (v11 = 0) & in(v10, v1) = v11))) &  ! [v9] :  ! [v10] : ( ~ (in(v9, v6) = v10) |  ? [v11] :  ? [v12] :  ? [v13] : ((v13 = v9 & v12 = 0 & set_difference(v11, v7) = v9 & in(v11, v1) = 0) | ( ~ (v11 = 0) & in(v9, v8) = v11))))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (succ(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (singleton(v0) = v6 & ordinal(v0) = v5 & powerset(v0) = v7 & ( ~ (v5 = 0) | ( ! [v9] :  ! [v10] :  ! [v11] : (v10 = 0 |  ~ (set_difference(v11, v6) = v9) |  ~ (in(v9, v8) = v10) |  ~ (in(v9, v7) = 0) |  ? [v12] : ( ~ (v12 = 0) & in(v11, v1) = v12)) &  ! [v9] : ( ~ (in(v9, v8) = 0) |  ? [v10] : (set_difference(v10, v6) = v9 & in(v10, v1) = 0 & in(v9, v7) = 0)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_L_join(v0) = v1) |  ~ (quasi_total(v1, v3, v2) = v4) |  ~ (the_carrier(v0) = v2) |  ~ (cartesian_product2(v2, v2) = v3) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_of2_as_subset(v1, v3, v2) = v7 & join_semilatt_str(v0) = v5 & function(v1) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0 & v4 = 0)))) &  ! [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] : ( ~ (quasi_total(v3, v0, v1) = 0) |  ~ (apply(v3, v2) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_of2_as_subset(v3, v0, v1) = v6 & function(v3) = v5 & in(v2, v0) = v7 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (v7 = 0) | v1 = empty_set |  ~ (relation_composition(v3, v8) = v9) |  ~ (apply(v9, v2) = v10) |  ? [v11] :  ? [v12] :  ? [v13] : (apply(v8, v4) = v13 & relation(v8) = v11 & function(v8) = v12 & ( ~ (v12 = 0) |  ~ (v11 = 0) | v13 = v10)))))) &  ! [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] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (complements_of_subsets(v2, v1) = v6 & one_sorted_str(v0) = v5 & ( ~ (v5 = 0) | (v10 = v6 & v9 = 0 & v8 = 0 & relation_dom(v7) = v6 & relation(v7) = 0 & function(v7) = 0 &  ! [v11] : ( ~ (in(v11, v6) = 0) |  ? [v12] : (apply(v7, v11) = v12 & ( ~ (element(v11, v3) = 0) | subset_complement(v2, v11) = v12)))) | (v10 = 0 &  ~ (v9 = v8) & in(v7, v6) = 0 & ( ~ (element(v7, v3) = 0) | subset_complement(v2, v7) = v9) & ( ~ (element(v7, v3) = 0) | subset_complement(v2, v7) = v8)) | (v8 = 0 & in(v7, v6) = 0 &  ? [v11] :  ? [v12] : ( ~ (v12 = v11) & subset_complement(v2, v7) = v12 & element(v7, v3) = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (complements_of_subsets(v2, v1) = v6 & one_sorted_str(v0) = v5 & ( ~ (v5 = 0) | (v10 = 0 &  ~ (v9 = v8) & in(v7, v6) = 0 & ( ~ (element(v7, v3) = 0) | subset_complement(v2, v7) = v9) & ( ~ (element(v7, v3) = 0) | subset_complement(v2, v7) = v8)) | (v9 = 0 & v8 = 0 & relation(v7) = 0 & function(v7) = 0 &  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = 0 |  ~ (ordered_pair(v11, v12) = v13) |  ~ (in(v13, v7) = v14) |  ? [v15] :  ? [v16] :  ? [v17] : ((v16 = 0 & v15 = v11 &  ~ (v17 = v12) & subset_complement(v2, v11) = v17 & element(v11, v3) = 0) | ( ~ (v15 = 0) & in(v11, v6) = v15))) &  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (ordered_pair(v11, v12) = v13) |  ~ (element(v11, v3) = 0) |  ~ (in(v13, v7) = 0) | subset_complement(v2, v11) = v12) &  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (ordered_pair(v11, v12) = v13) |  ~ (in(v13, v7) = 0) | in(v11, v6) = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (complements_of_subsets(v2, v1) = v6 & one_sorted_str(v0) = v5 & ( ~ (v5 = 0) | (v10 = 0 &  ~ (v9 = v8) & in(v7, v6) = 0 & ( ~ (element(v7, v3) = 0) | subset_complement(v2, v7) = v9) & ( ~ (element(v7, v3) = 0) | subset_complement(v2, v7) = v8)) | ( ! [v11] :  ! [v12] :  ! [v13] : (v12 = 0 |  ~ (in(v13, v6) = 0) |  ~ (in(v11, v7) = v12) |  ? [v14] : ( ~ (v14 = v11) & subset_complement(v2, v13) = v14 & element(v13, v3) = 0)) &  ! [v11] : ( ~ (in(v11, v7) = 0) |  ? [v12] : (in(v12, v6) = 0 & ( ~ (element(v12, v3) = 0) | subset_complement(v2, v12) = v11))))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (cast_as_carrier_subset(v0) = v7 & topological_space(v0) = v5 & top_str(v0) = v6 & ( ~ (v6 = 0) |  ~ (v5 = 0) | (v9 = 0 & element(v8, v4) = 0 &  ! [v10] : ( ~ (element(v10, v3) = 0) |  ? [v11] :  ? [v12] :  ? [v13] : (set_difference(v7, v10) = v12 & in(v12, v1) = v13 & in(v10, v8) = v11 & ( ~ (v13 = 0) | v11 = 0) & ( ~ (v11 = 0) | v13 = 0))))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (cast_as_carrier_subset(v0) = v7 & topological_space(v0) = v5 & top_str(v0) = v6 & ( ~ (v6 = 0) |  ~ (v5 = 0) | ( ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_difference(v7, v9) = v10) |  ~ (in(v10, v1) = v11) |  ? [v12] :  ? [v13] : (in(v9, v8) = v12 & in(v9, v3) = v13 & ( ~ (v12 = 0) | (v13 = 0 & v11 = 0)))) &  ! [v9] :  ! [v10] : ( ~ (set_difference(v7, v9) = v10) |  ~ (in(v10, v1) = 0) |  ? [v11] :  ? [v12] : (in(v9, v8) = v12 & in(v9, v3) = v11 & ( ~ (v11 = 0) | v12 = 0))))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (cast_as_carrier_subset(v0) = v7 & topological_space(v0) = v5 & top_str(v0) = v6 & ( ~ (v6 = 0) |  ~ (v5 = 0) | ( ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_difference(v7, v9) = v10) |  ~ (in(v10, v1) = v11) |  ? [v12] :  ? [v13] : ((v13 = 0 & v12 = v9 & v11 = 0 & in(v9, v3) = 0) | ( ~ (v12 = 0) & in(v9, v8) = v12))) &  ! [v9] :  ! [v10] : ( ~ (set_difference(v7, v9) = v10) |  ~ (in(v10, v1) = 0) |  ~ (in(v9, v3) = 0) | in(v9, v8) = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = v1 & v7 = 0 & v6 = 0 & relation_dom(v5) = v1 & relation(v5) = 0 & function(v5) = 0 &  ! [v9] :  ! [v10] : ( ~ (apply(v5, v9) = v10) |  ~ (element(v9, v3) = 0) |  ? [v11] : ((v11 = v10 & subset_complement(v2, v9) = v10) | ( ~ (v11 = 0) & in(v9, v1) = v11)))) | (v8 = 0 &  ~ (v7 = v6) & in(v5, v1) = 0 & ( ~ (element(v5, v3) = 0) | subset_complement(v2, v5) = v7) & ( ~ (element(v5, v3) = 0) | subset_complement(v2, v5) = v6)) | (v6 = 0 & in(v5, v1) = 0 &  ? [v9] :  ? [v10] : ( ~ (v10 = v9) & subset_complement(v2, v5) = v10 & element(v5, v3) = 0)) | ( ~ (v5 = 0) & one_sorted_str(v0) = v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = 0 &  ~ (v7 = v6) & in(v5, v1) = 0 & ( ~ (element(v5, v3) = 0) | subset_complement(v2, v5) = v7) & ( ~ (element(v5, v3) = 0) | subset_complement(v2, v5) = v6)) | (v7 = 0 & v6 = 0 & relation(v5) = 0 & function(v5) = 0 &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (ordered_pair(v9, v10) = v11) |  ~ (in(v11, v5) = v12) |  ? [v13] :  ? [v14] :  ? [v15] : ((v14 = 0 & v13 = v9 &  ~ (v15 = v10) & subset_complement(v2, v9) = v15 & element(v9, v3) = 0) | ( ~ (v13 = 0) & in(v9, v1) = v13))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v9, v10) = v11) |  ~ (element(v9, v3) = 0) |  ~ (in(v11, v5) = 0) | subset_complement(v2, v9) = v10) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v9, v10) = v11) |  ~ (in(v11, v5) = 0) | in(v9, v1) = 0)) | ( ~ (v5 = 0) & one_sorted_str(v0) = v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = 0 &  ~ (v7 = v6) & in(v5, v1) = 0 & ( ~ (element(v5, v3) = 0) | subset_complement(v2, v5) = v7) & ( ~ (element(v5, v3) = 0) | subset_complement(v2, v5) = v6)) | ( ~ (v5 = 0) & one_sorted_str(v0) = v5) | ( ! [v9] :  ! [v10] :  ! [v11] : (v10 = 0 |  ~ (in(v11, v1) = 0) |  ~ (in(v9, v5) = v10) |  ? [v12] : ( ~ (v12 = v9) & subset_complement(v2, v11) = v12 & element(v11, v3) = 0)) &  ! [v9] : ( ~ (in(v9, v5) = 0) |  ? [v10] : (in(v10, v1) = 0 & ( ~ (element(v10, v3) = 0) | subset_complement(v2, v10) = v9)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] : (complements_of_subsets(v2, v1) = v6 & one_sorted_str(v0) = v5 & ( ~ (v5 = 0) |  ! [v7] :  ! [v8] : ( ~ (cartesian_product2(v6, v7) = v8) |  ? [v9] : ( ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = 0 |  ~ (ordered_pair(v12, v13) = v10) |  ~ (in(v10, v9) = v11) |  ~ (in(v10, v8) = 0) |  ? [v14] :  ? [v15] :  ? [v16] : ((v15 = 0 & v14 = v12 &  ~ (v16 = v13) & subset_complement(v2, v12) = v16 & element(v12, v3) = 0) | ( ~ (v14 = 0) & in(v12, v6) = v14))) &  ! [v10] : ( ~ (in(v10, v9) = 0) |  ? [v11] :  ? [v12] : (ordered_pair(v11, v12) = v10 & in(v11, v6) = 0 & in(v10, v8) = 0 & ( ~ (element(v11, v3) = 0) | subset_complement(v2, v11) = v12)))))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] : (complements_of_subsets(v2, v1) = v6 & one_sorted_str(v0) = v5 & ( ~ (v5 = 0) |  ! [v7] :  ! [v8] : ( ~ (cartesian_product2(v6, v7) = v8) |  ? [v9] : ( ! [v10] :  ! [v11] :  ! [v12] : ( ~ (ordered_pair(v11, v12) = v10) |  ~ (in(v10, v8) = 0) |  ? [v13] :  ? [v14] :  ? [v15] : ((v14 = 0 & v13 = v11 &  ~ (v15 = v12) & subset_complement(v2, v11) = v15 & element(v11, v3) = 0) | (v13 = 0 & in(v10, v9) = 0) | ( ~ (v13 = 0) & in(v11, v6) = v13))) &  ! [v10] :  ! [v11] : (v11 = 0 |  ~ (in(v10, v8) = v11) |  ? [v12] : ( ~ (v12 = 0) & in(v10, v9) = v12)) &  ! [v10] :  ! [v11] : ( ~ (in(v10, v8) = v11) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : ((v15 = 0 & v14 = v10 & ordered_pair(v12, v13) = v10 & in(v12, v6) = 0 & ( ~ (element(v12, v3) = 0) | subset_complement(v2, v12) = v13)) | ( ~ (v12 = 0) & in(v10, v9) = v12)))))))) &  ! [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] : ( ~ (function(v2) = 0) |  ~ (powerset(v3) = v4) |  ~ (powerset(v0) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (relation_dom(v2) = v6 & relation(v2) = v5 & powerset(v6) = v7 & ( ~ (v5 = 0) | ( ! [v9] :  ! [v10] :  ! [v11] : ( ~ (relation_image(v2, v9) = v10) |  ~ (in(v10, v1) = v11) |  ? [v12] :  ? [v13] : ((v13 = 0 & v12 = v9 & v11 = 0 & in(v9, v7) = 0) | ( ~ (v12 = 0) & in(v9, v8) = v12))) &  ! [v9] :  ! [v10] : ( ~ (relation_image(v2, v9) = v10) |  ~ (in(v10, v1) = 0) |  ~ (in(v9, v7) = 0) | in(v9, v8) = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (function(v2) = 0) |  ~ (powerset(v3) = v4) |  ~ (powerset(v0) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (relation_dom(v2) = v6 & relation(v2) = v5 & powerset(v6) = v7 & ( ~ (v5 = 0) | ( ! [v9] :  ! [v10] : ( ~ (in(v9, v7) = v10) |  ? [v11] :  ? [v12] :  ? [v13] : (relation_image(v2, v9) = v12 & in(v12, v1) = v13 & in(v9, v8) = v11 & ( ~ (v11 = 0) | (v13 = 0 & v10 = 0)))) &  ! [v9] : ( ~ (in(v9, v7) = 0) |  ? [v10] :  ? [v11] :  ? [v12] : (relation_image(v2, v9) = v10 & in(v10, v1) = v11 & in(v9, v8) = v12 & ( ~ (v11 = 0) | v12 = 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 |  ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = 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 |  ~ (singleton(v0) = v2) |  ~ (set_union2(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(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 |  ~ (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 |  ~ (the_InternalRel(v0) = v1) |  ~ (relation_of2_as_subset(v1, v2, v2) = v3) |  ~ (the_carrier(v0) = v2) |  ? [v4] : ( ~ (v4 = 0) & rel_str(v0) = v4)) &  ! [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 |  ~ (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) |  ~ (disjoint(v2, v1) = v3) | in(v0, v1) = 0) &  ! [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 |  ~ (disjoint(v1, v2) = 0) |  ~ (disjoint(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(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] : (v2 = 0 |  ~ (equipotent(v0, v1) = v2) |  ~ (one_to_one(v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_rng(v3) = v7 & relation_dom(v3) = v6 & relation(v3) = v4 & function(v3) = v5 & ( ~ (v7 = v1) |  ~ (v6 = v0) |  ~ (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 |  ~ (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 |  ~ (set_difference(v3, v2) = v1) |  ~ (set_difference(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (equipotent(v3, v2) = v1) |  ~ (equipotent(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 |  ~ (is_a_cover_of_carrier(v3, v2) = v1) |  ~ (is_a_cover_of_carrier(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (closed_subsets(v3, v2) = v1) |  ~ (closed_subsets(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (closed_subset(v3, v2) = v1) |  ~ (closed_subset(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (fiber(v3, v2) = v1) |  ~ (fiber(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (open_subsets(v3, v2) = v1) |  ~ (open_subsets(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset_complement(v3, v2) = v1) |  ~ (subset_complement(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_reflexive_in(v3, v2) = v1) |  ~ (is_reflexive_in(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 |  ~ (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 |  ~ (interior(v3, v2) = v1) |  ~ (interior(v3, v2) = v0)) &  ! [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 |  ~ (topstr_closure(v3, v2) = v1) |  ~ (topstr_closure(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (open_subset(v3, v2) = v1) |  ~ (open_subset(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (disjoint(v3, v2) = v1) |  ~ (disjoint(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] :  ? [v5] :  ? [v6] : (meet_of_subsets(v0, v4) = v5 & complements_of_subsets(v0, v1) = v4 & subset_complement(v0, v6) = v5 & union_of_subsets(v0, v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : (meet_of_subsets(v0, v1) = v6 & complements_of_subsets(v0, v1) = v4 & subset_complement(v0, v6) = v5 & union_of_subsets(v0, v4) = v5)) &  ! [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_of2(v2, v0, v1) = v4 & relation_rng(v2) = v5 & ( ~ (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_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] : ( ~ (the_InternalRel(v0) = v1) |  ~ (is_transitive_in(v1, v2) = v3) |  ~ (the_carrier(v0) = v2) |  ? [v4] :  ? [v5] : (rel_str(v0) = v4 & transitive_relstr(v0) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v3 = 0) & ( ~ (v3 = 0) | v5 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_InternalRel(v0) = v1) |  ~ (is_antisymmetric_in(v1, v2) = v3) |  ~ (the_carrier(v0) = v2) |  ? [v4] :  ? [v5] : (antisymmetric_relstr(v0) = v5 & rel_str(v0) = v4 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v3 = 0) & ( ~ (v3 = 0) | v5 = 0))))) &  ! [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] : ( ~ (the_topology(v0) = v2) |  ~ (the_carrier(v0) = v1) |  ~ (in(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (topological_space(v0) = v5 & top_str(v0) = v4 & powerset(v6) = v7 & powerset(v1) = v6 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | (v3 = 0 &  ! [v16] : ( ~ (element(v16, v7) = 0) |  ? [v17] :  ? [v18] :  ? [v19] : (union_of_subsets(v1, v16) = v18 & subset(v16, v2) = v17 & in(v18, v2) = v19 & ( ~ (v17 = 0) | v19 = 0))) &  ! [v16] : ( ~ (element(v16, v6) = 0) |  ? [v17] : (in(v16, v2) = v17 &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (v17 = 0) | v20 = 0 |  ~ (subset_intersection2(v1, v16, v18) = v19) |  ~ (in(v19, v2) = v20) |  ? [v21] :  ? [v22] : (element(v18, v6) = v21 & in(v18, v2) = v22 & ( ~ (v22 = 0) |  ~ (v21 = 0)))))))) & ( ~ (v3 = 0) | v5 = 0 | (v13 = 0 & v12 = 0 & v10 = 0 & v9 = 0 &  ~ (v15 = 0) & subset_intersection2(v1, v8, v11) = v14 & element(v11, v6) = 0 & element(v8, v6) = 0 & in(v14, v2) = v15 & in(v11, v2) = 0 & in(v8, v2) = 0) | (v10 = 0 & v9 = 0 &  ~ (v12 = 0) & union_of_subsets(v1, v8) = v11 & subset(v8, v2) = 0 & element(v8, v7) = 0 & in(v11, v2) = v12)))))) &  ! [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_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_dom_as_subset(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (relation_of2_as_subset(v2, v0, v1) = v4 & quasi_total(v2, v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v1 = empty_set) | v0 = empty_set | (( ~ (v5 = 0) | v2 = empty_set) & ( ~ (v2 = empty_set) | v5 = 0))) & ((v1 = empty_set &  ~ (v0 = empty_set)) | (( ~ (v5 = 0) | v3 = v0) & ( ~ (v3 = v0) | v5 = 0))))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (quasi_total(v2, empty_set, v1) = v3) |  ~ (quasi_total(v2, empty_set, v0) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_of2_as_subset(v2, empty_set, v1) = v7 & relation_of2_as_subset(v2, empty_set, v0) = v5 & subset(v0, v1) = v6 & function(v2) = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) | (v7 = 0 & v3 = 0)))) &  ! [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] : ( ~ (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] : ( ~ (the_carrier(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (meet(v0, v1, v2) = v8 & meet_commutative(v0) = v5 & meet_semilatt_str(v0) = v6 & meet_commut(v0, v1, v2) = v7 & empty_carrier(v0) = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v8 = v7 | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (join(v0, v1, v2) = v8 & empty_carrier(v0) = v4 & join_commutative(v0) = v5 & join_semilatt_str(v0) = v6 & join_commut(v0, v1, v2) = v7 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v8 = v7 | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (meet_commutative(v0) = v5 & meet_semilatt_str(v0) = v6 & meet_commut(v0, v2, v1) = v8 & meet_commut(v0, v1, v2) = v7 & empty_carrier(v0) = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v8 = v7 | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (empty_carrier(v0) = v4 & join_commutative(v0) = v5 & join_semilatt_str(v0) = v6 & join_commut(v0, v2, v1) = v8 & join_commut(v0, v1, v2) = v7 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v8 = v7 | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (topological_space(v0) = v4 & top_str(v0) = v5 & powerset(v3) = v6 & ( ~ (v5 = 0) |  ~ (v4 = 0) | (v8 = 0 & element(v7, v6) = 0 &  ! [v9] : ( ~ (element(v9, v3) = 0) |  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (subset(v1, v9) = v11 & in(v9, v7) = v10 & ( ~ (v11 = 0) | v10 = 0 |  ? [v15] : ( ~ (v15 = 0) & closed_subset(v9, v0) = v15)) & ( ~ (v10 = 0) | (v14 = 0 & v13 = 0 & v12 = v9 & v11 = 0 & closed_subset(v9, v0) = 0)))))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (closed_subset(v6, v0) = v7 & topological_space(v0) = v4 & top_str(v0) = v5 & topstr_closure(v0, v1) = v6 & ( ~ (v5 = 0) |  ~ (v4 = 0) | v7 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (topological_space(v0) = v4 & interior(v0, v1) = v6 & top_str(v0) = v5 & open_subset(v6, v0) = v7 & ( ~ (v5 = 0) |  ~ (v4 = 0) | v7 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] : ((topological_space(v0) = v4 & top_str(v0) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0))) | ( ! [v6] :  ! [v7] : ( ~ (subset(v1, v6) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : ((v12 = 0 & v11 = 0 & v10 = v6 & v9 = 0 & v8 = v6 & v7 = 0 & closed_subset(v6, v0) = 0 & element(v6, v3) = 0 & in(v6, v3) = 0) | ( ~ (v8 = 0) & in(v6, v4) = v8))) &  ! [v6] : ( ~ (subset(v1, v6) = 0) |  ~ (element(v6, v3) = 0) |  ~ (in(v6, v3) = 0) |  ? [v7] : ((v7 = 0 & in(v6, v4) = 0) | ( ~ (v7 = 0) & closed_subset(v6, v0) = v7)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] : ((topological_space(v0) = v4 & top_str(v0) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0))) | ( ! [v6] :  ! [v7] : ( ~ (in(v6, v3) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (subset(v1, v6) = v9 & in(v6, v4) = v8 & ( ~ (v8 = 0) | (v12 = 0 & v11 = 0 & v10 = v6 & v9 = 0 & v7 = 0 & closed_subset(v6, v0) = 0 & element(v6, v3) = 0)))) &  ! [v6] : ( ~ (in(v6, v3) = 0) |  ? [v7] :  ? [v8] : (subset(v1, v6) = v7 & in(v6, v4) = v8 & ( ~ (v7 = 0) | v8 = 0 |  ~ (element(v6, v3) = 0) |  ? [v9] : ( ~ (v9 = 0) & closed_subset(v6, v0) = v9))))))) &  ! [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] : ( ~ (cartesian_product2(v0, v0) = v3) |  ~ (relation(v1) = 0) |  ~ (function(v2) = 0) |  ? [v4] : (( ~ (v4 = 0) & relation(v2) = v4) | ( ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v6 = 0 |  ~ (apply(v2, v8) = v10) |  ~ (apply(v2, v7) = v9) |  ~ (ordered_pair(v9, v10) = v11) |  ~ (in(v11, v1) = 0) |  ~ (in(v5, v4) = v6) |  ~ (in(v5, v3) = 0) |  ? [v12] : ( ~ (v12 = v5) & ordered_pair(v7, v8) = v12)) &  ! [v5] : ( ~ (in(v5, v4) = 0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (apply(v2, v7) = v9 & apply(v2, v6) = v8 & ordered_pair(v8, v9) = v10 & ordered_pair(v6, v7) = v5 & in(v10, v1) = 0 & in(v5, v3) = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v0) = v3) |  ~ (relation(v1) = 0) |  ~ (function(v2) = 0) |  ? [v4] : (( ~ (v4 = 0) & relation(v2) = v4) | ( ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (apply(v2, v7) = v9) |  ~ (apply(v2, v6) = v8) |  ~ (ordered_pair(v8, v9) = v10) |  ~ (in(v10, v1) = 0) |  ~ (in(v5, v3) = 0) |  ? [v11] : ((v11 = 0 & in(v5, v4) = 0) | ( ~ (v11 = v5) & ordered_pair(v6, v7) = v11))) &  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (in(v5, v3) = v6) |  ? [v7] : ( ~ (v7 = 0) & in(v5, v4) = v7)) &  ! [v5] :  ! [v6] : ( ~ (in(v5, v3) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v13 = 0 & v9 = v5 & apply(v2, v8) = v11 & apply(v2, v7) = v10 & ordered_pair(v10, v11) = v12 & ordered_pair(v7, v8) = v5 & in(v12, v1) = 0) | ( ~ (v7 = 0) & in(v5, v4) = v7)))))) &  ! [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] : (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) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] : (complements_of_subsets(v0, v1) = v4 & ( ~ (v4 = empty_set) | v1 = empty_set) & ( ~ (v1 = empty_set) | v4 = empty_set))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] : (union(v1) = v4 & union_of_subsets(v0, v1) = v4)) &  ! [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) | subset_intersection2(v0, v1, v1) = v1) &  ! [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) |  ~ (element(v1, v3) = 0) |  ? [v4] : (subset_intersection2(v0, v2, v1) = v4 & subset_intersection2(v0, v1, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ? [v4] : (subset_intersection2(v0, v1, v2) = v4 & set_intersection2(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] : (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] : (fiber(v0, v3) = v4 & disjoint(v4, v2) = 0 & 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 |  ~ (are_equipotent(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & equipotent(v0, v1) = v3)) &  ! [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] : ( ~ (fiber(v0, v4) = v5) |  ~ (disjoint(v5, v3) = 0) |  ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (cast_as_carrier_subset(v0) = v1) |  ~ (closed_subset(v1, v0) = v2) |  ? [v3] :  ? [v4] : (topological_space(v0) = v3 & top_str(v0) = v4 & ( ~ (v4 = 0) |  ~ (v3 = 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 |  ~ (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_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 |  ~ (relation(v1) = 0) |  ~ (empty(v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = 0 & v9 = v3 & v8 = 0 & v7 = v3 & v6 = 0 &  ~ (v5 = v4) & in(v5, v3) = 0 & in(v4, v3) = 0 & in(v3, v0) = 0 &  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (ordered_pair(v5, v11) = v12) |  ~ (in(v12, v1) = v13) |  ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14)) &  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (ordered_pair(v4, v11) = v12) |  ~ (in(v12, v1) = v13) |  ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14))) | (v6 = v0 & v5 = 0 & v4 = 0 & relation_dom(v3) = v0 & relation(v3) = 0 & function(v3) = 0 &  ! [v11] :  ! [v12] : ( ~ (apply(v3, v11) = v12) |  ? [v13] :  ? [v14] : ((v14 = 0 & v13 = v11 & in(v12, v11) = 0 &  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (ordered_pair(v12, v15) = v16) |  ~ (in(v16, v1) = v17) |  ? [v18] : ( ~ (v18 = 0) & in(v15, v11) = v18))) | ( ~ (v13 = 0) & in(v11, v0) = v13)))) | (v4 = 0 & in(v3, v0) = 0 &  ! [v11] : ( ~ (in(v11, v3) = 0) |  ? [v12] :  ? [v13] :  ? [v14] : ( ~ (v14 = 0) & ordered_pair(v11, v12) = v13 & in(v13, v1) = v14 & in(v12, v3) = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (relation(v1) = 0) |  ~ (empty(v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = 0 & v9 = v3 & v8 = 0 & v7 = v3 & v6 = 0 &  ~ (v5 = v4) & in(v5, v3) = 0 & in(v4, v3) = 0 & in(v3, v0) = 0 &  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (ordered_pair(v5, v11) = v12) |  ~ (in(v12, v1) = v13) |  ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14)) &  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (ordered_pair(v4, v11) = v12) |  ~ (in(v12, v1) = v13) |  ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14))) | (v5 = 0 & v4 = 0 & relation(v3) = 0 & function(v3) = 0 &  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = 0 |  ~ (ordered_pair(v11, v12) = v13) |  ~ (in(v13, v3) = v14) |  ~ (in(v12, v11) = 0) |  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : ((v16 = 0 &  ~ (v18 = 0) & ordered_pair(v12, v15) = v17 & in(v17, v1) = v18 & in(v15, v11) = 0) | ( ~ (v15 = 0) & in(v11, v0) = v15))) &  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (ordered_pair(v11, v12) = v13) |  ~ (in(v13, v3) = 0) | in(v11, v0) = 0) &  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (ordered_pair(v11, v12) = v13) |  ~ (in(v13, v3) = 0) | (in(v12, v11) = 0 &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (ordered_pair(v12, v14) = v15) |  ~ (in(v15, v1) = v16) |  ? [v17] : ( ~ (v17 = 0) & in(v14, v11) = v17))))))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (relation(v1) = 0) |  ~ (empty(v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = 0 & v9 = v3 & v8 = 0 & v7 = v3 & v6 = 0 &  ~ (v5 = v4) & in(v5, v3) = 0 & in(v4, v3) = 0 & in(v3, v0) = 0 &  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (ordered_pair(v5, v11) = v12) |  ~ (in(v12, v1) = v13) |  ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14)) &  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (ordered_pair(v4, v11) = v12) |  ~ (in(v12, v1) = v13) |  ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14))) | ( ! [v11] :  ! [v12] :  ! [v13] : (v12 = 0 |  ~ (in(v13, v0) = 0) |  ~ (in(v11, v13) = 0) |  ~ (in(v11, v3) = v12) |  ? [v14] :  ? [v15] :  ? [v16] : ( ~ (v16 = 0) & ordered_pair(v11, v14) = v15 & in(v15, v1) = v16 & in(v14, v13) = 0)) &  ! [v11] : ( ~ (in(v11, v3) = 0) |  ? [v12] : (in(v12, v0) = 0 & in(v11, v12) = 0 &  ! [v13] :  ! [v14] :  ! [v15] : (v15 = 0 |  ~ (ordered_pair(v11, v13) = v14) |  ~ (in(v14, v1) = v15) |  ? [v16] : ( ~ (v16 = 0) & in(v13, v12) = v16))))))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (finite(v1) = 0) |  ~ (finite(v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (ordinal(v1) = 0) |  ~ (ordinal(v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (v1_membered(v0) = 0) |  ~ (v1_xcmplx_0(v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & element(v1, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (element(v0, v1) = 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 |  ~ (meet_absorbing(v2) = v1) |  ~ (meet_absorbing(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (latt_str(v2) = v1) |  ~ (latt_str(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_inverse(v2) = v1) |  ~ (relation_inverse(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (antisymmetric_relstr(v2) = v1) |  ~ (antisymmetric_relstr(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (being_limit_ordinal(v2) = v1) |  ~ (being_limit_ordinal(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_InternalRel(v2) = v1) |  ~ (the_InternalRel(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (rel_str(v2) = v1) |  ~ (rel_str(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (transitive_relstr(v2) = v1) |  ~ (transitive_relstr(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 |  ~ (cast_as_carrier_subset(v2) = v1) |  ~ (cast_as_carrier_subset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (compact_top_space(v2) = v1) |  ~ (compact_top_space(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (well_founded_relation(v2) = v1) |  ~ (well_founded_relation(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (empty_carrier_subset(v2) = v1) |  ~ (empty_carrier_subset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pair_second(v2) = v1) |  ~ (pair_second(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_L_meet(v2) = v1) |  ~ (the_L_meet(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (centered(v2) = v1) |  ~ (centered(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (inclusion_relation(v2) = v1) |  ~ (inclusion_relation(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (one_sorted_str(v2) = v1) |  ~ (one_sorted_str(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (set_meet(v2) = v1) |  ~ (set_meet(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_topology(v2) = v1) |  ~ (the_topology(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 |  ~ (the_L_join(v2) = v1) |  ~ (the_L_join(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_rng(v2) = v1) |  ~ (relation_rng(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (topological_space(v2) = v1) |  ~ (topological_space(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 |  ~ (top_str(v2) = v1) |  ~ (top_str(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 |  ~ (meet_commutative(v2) = v1) |  ~ (meet_commutative(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (meet_semilatt_str(v2) = v1) |  ~ (meet_semilatt_str(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_carrier(v2) = v1) |  ~ (the_carrier(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (empty_carrier(v2) = v1) |  ~ (empty_carrier(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (join_commutative(v2) = v1) |  ~ (join_commutative(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (join_semilatt_str(v2) = v1) |  ~ (join_semilatt_str(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (one_to_one(v2) = v1) |  ~ (one_to_one(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation(v2) = v1) |  ~ (relation(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (function(v2) = v1) |  ~ (function(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (preboolean(v2) = v1) |  ~ (preboolean(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (cup_closed(v2) = v1) |  ~ (cup_closed(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (diff_closed(v2) = v1) |  ~ (diff_closed(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (finite(v2) = v1) |  ~ (finite(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (epsilon_connected(v2) = v1) |  ~ (epsilon_connected(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (epsilon_transitive(v2) = v1) |  ~ (epsilon_transitive(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (ordinal(v2) = v1) |  ~ (ordinal(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~ (powerset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (empty(v2) = v1) |  ~ (empty(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v5_membered(v2) = v1) |  ~ (v5_membered(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (natural(v2) = v1) |  ~ (natural(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v4_membered(v2) = v1) |  ~ (v4_membered(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v1_int_1(v2) = v1) |  ~ (v1_int_1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v3_membered(v2) = v1) |  ~ (v3_membered(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v1_rat_1(v2) = v1) |  ~ (v1_rat_1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v2_membered(v2) = v1) |  ~ (v2_membered(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v1_xreal_0(v2) = v1) |  ~ (v1_xreal_0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v1_membered(v2) = v1) |  ~ (v1_membered(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v1_xcmplx_0(v2) = v1) |  ~ (v1_xcmplx_0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = 0 |  ~ (relation_rng(v2) = v0) |  ~ (finite(v0) = v1) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation_dom(v2) = v5 & relation(v2) = v3 & function(v2) = v4 & in(v5, omega) = v6 & ( ~ (v6 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0)))) &  ! [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] : ( ~ (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] :  ? [v6] :  ? [v7] :  ? [v8] : (v5_membered(v2) = v8 & v5_membered(v0) = v3 & v4_membered(v2) = v7 & v3_membered(v2) = v6 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (v4_membered(v2) = v7 & v4_membered(v0) = v3 & v3_membered(v2) = v6 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (v3_membered(v2) = v6 & v3_membered(v0) = v3 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v6 = 0 & v5 = 0 & v4 = 0)))) &  ! [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] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (v2_membered(v2) = v5 & v2_membered(v0) = v3 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v5 = 0 & v4 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] : (finite(v2) = v4 & finite(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] : (v1_membered(v2) = v4 & v1_membered(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (equipotent(v0, v2) = 0) |  ~ (relation_field(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : ((v5 = 0 & v4 = 0 & well_orders(v3, v0) = 0 & relation(v3) = 0) | (well_ordering(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 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] : ( ~ (is_well_founded_in(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (well_orders(v0, v1) = v3 & is_reflexive_in(v0, v1) = v4 & is_transitive_in(v0, v1) = v5 & is_connected_in(v0, v1) = v7 & is_antisymmetric_in(v0, v1) = v6 & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v2 = 0)))) &  ! [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) |  ~ (disjoint(v2, v1) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) &  ! [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] : ( ~ (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] : ( ~ (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] : ( ~ (disjoint(v0, v1) = 0) |  ~ (in(v2, v0) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v2, v1) = v3)) &  ! [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_image(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation(v1) = v3 & function(v1) = v4 & finite(v2) = v6 & finite(v0) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) | v6 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_image(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation(v0) = v3 & function(v0) = v4 & finite(v2) = v6 & finite(v1) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) | v6 = 0))) &  ! [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(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (v5_membered(v2) = v8 & v5_membered(v0) = v3 & v4_membered(v2) = v7 & v3_membered(v2) = v6 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (v4_membered(v2) = v7 & v4_membered(v0) = v3 & v3_membered(v2) = v6 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (v3_membered(v2) = v6 & v3_membered(v0) = v3 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v6 = 0 & v5 = 0 & v4 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (v2_membered(v2) = v5 & v2_membered(v0) = v3 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v5 = 0 & v4 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ? [v3] :  ? [v4] : (v1_membered(v2) = v4 & v1_membered(v0) = v3 & ( ~ (v3 = 0) | v4 = 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] :  ? [v6] :  ? [v7] :  ? [v8] : (v5_membered(v2) = v8 & v5_membered(v0) = v3 & v4_membered(v2) = v7 & v3_membered(v2) = v6 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (v4_membered(v2) = v7 & v4_membered(v0) = v3 & v3_membered(v2) = v6 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (v3_membered(v2) = v6 & v3_membered(v0) = v3 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v6 = 0 & v5 = 0 & v4 = 0)))) &  ! [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_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (v2_membered(v2) = v5 & v2_membered(v0) = v3 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v5 = 0 & v4 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] : (finite(v2) = v4 & finite(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] : (finite(v2) = v4 & finite(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] : (v1_membered(v2) = v4 & v1_membered(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (the_carrier(v0) = v2) |  ~ (element(v1, v2) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (topological_space(v0) = v4 & top_str(v0) = v5 & empty_carrier(v0) = v3 & powerset(v2) = v6 & ( ~ (v5 = 0) |  ~ (v4 = 0) | v3 = 0 |  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (element(v7, v6) = v8) |  ? [v9] : ( ~ (v9 = 0) & point_neighbourhood(v7, v0, v1) = v9))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (the_carrier(v0) = v2) |  ~ (element(v1, v2) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : ((v4 = 0 & point_neighbourhood(v3, v0, v1) = 0) | (topological_space(v0) = v4 & top_str(v0) = v5 & empty_carrier(v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) | v3 = 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] :  ? [v5] : (finite(v2) = v5 & finite(v1) = v4 & finite(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] : ( ~ (cartesian_product2(v0, v1) = v2) |  ? [v3] : ( ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v5 = 0 |  ~ (ordered_pair(v6, v7) = v4) |  ~ (in(v4, v3) = v5) |  ~ (in(v4, v2) = 0) |  ? [v8] :  ? [v9] : (singleton(v6) = v9 & in(v6, v0) = v8 & ( ~ (v9 = v7) |  ~ (v8 = 0)))) &  ! [v4] : ( ~ (in(v4, v3) = 0) |  ? [v5] :  ? [v6] : (singleton(v5) = v6 & ordered_pair(v5, v6) = v4 & in(v5, v0) = 0 & in(v4, v2) = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) |  ? [v3] : ( ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v5, v6) = v4) |  ~ (in(v4, v2) = 0) |  ? [v7] :  ? [v8] : ((v7 = 0 & in(v4, v3) = 0) | (singleton(v5) = v8 & in(v5, v0) = v7 & ( ~ (v8 = v6) |  ~ (v7 = 0))))) &  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (in(v4, v2) = v5) |  ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6)) &  ! [v4] :  ! [v5] : ( ~ (in(v4, v2) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = v7 & v9 = 0 & v8 = v4 & singleton(v6) = v7 & ordered_pair(v6, v7) = v4 & in(v6, v0) = 0) | ( ~ (v6 = 0) & in(v4, v3) = v6))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (epsilon_connected(v1) = v2) |  ~ (ordinal(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : (epsilon_transitive(v1) = v4 & ordinal(v1) = v5 & element(v1, v0) = v3 & ( ~ (v3 = 0) | (v5 = 0 & v4 = 0 & v2 = 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] : (set_difference(v0, v1) = v3 & subset_complement(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (empty(v1) = v2) |  ~ (empty(v0) = 0) |  ? [v3] : (element(v1, v0) = v3 & ( ~ (v3 = 0) | v2 = 0) & ( ~ (v2 = 0) | v3 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (v5_membered(v0) = 0) |  ~ (v1_int_1(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (natural(v1) = v5 & v1_rat_1(v1) = v7 & v1_xreal_0(v1) = v6 & v1_xcmplx_0(v1) = v4 & element(v1, v0) = v3 & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v2 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (v4_membered(v0) = 0) |  ~ (v1_int_1(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (v1_rat_1(v1) = v6 & v1_xreal_0(v1) = v5 & v1_xcmplx_0(v1) = v4 & element(v1, v0) = v3 & ( ~ (v3 = 0) | (v6 = 0 & v5 = 0 & v4 = 0 & v2 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (v3_membered(v0) = 0) |  ~ (v1_rat_1(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (v1_xreal_0(v1) = v5 & v1_xcmplx_0(v1) = v4 & element(v1, v0) = v3 & ( ~ (v3 = 0) | (v5 = 0 & v4 = 0 & v2 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (v2_membered(v0) = 0) |  ~ (v1_xreal_0(v1) = v2) |  ? [v3] :  ? [v4] : (v1_xcmplx_0(v1) = v4 & element(v1, v0) = v3 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 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 |  ~ (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_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 |  ~ (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] :  ! [v2] : ( ~ (succ(v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & ordinal(v1) = v3) | ( ! [v4] :  ! [v5] : (v5 = 0 |  ~ (ordinal(v4) = 0) |  ~ (in(v4, v3) = v5) |  ~ (in(v4, v2) = 0) |  ? [v6] : ( ~ (v6 = 0) & in(v4, v0) = v6)) &  ! [v4] : ( ~ (in(v4, v3) = 0) | (ordinal(v4) = 0 & in(v4, v2) = 0 & in(v4, v0) = 0))))) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & ordinal(v1) = v3) | ( ! [v4] :  ! [v5] : (v5 = 0 |  ~ (in(v4, v2) = v5) |  ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6)) &  ! [v4] :  ! [v5] : ( ~ (in(v4, v2) = v5) |  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = 0 & v7 = 0 & v6 = v4 & ordinal(v4) = 0 & in(v4, v0) = 0) | ( ~ (v6 = 0) & in(v4, v3) = v6))) &  ! [v4] : ( ~ (ordinal(v4) = 0) |  ~ (in(v4, v2) = 0) |  ? [v5] : ((v5 = 0 & in(v4, v3) = 0) | ( ~ (v5 = 0) & in(v4, v0) = v5)))))) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (relation(v1) = 0) |  ~ (function(v2) = 0) |  ? [v3] :  ? [v4] : ((v4 = 0 & relation(v3) = 0 &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (apply(v2, v6) = v8) |  ~ (apply(v2, v5) = v7) |  ~ (ordered_pair(v7, v8) = v9) |  ~ (in(v9, v1) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (ordered_pair(v5, v6) = v11 & in(v11, v3) = v12 & in(v6, v0) = v14 & in(v5, v0) = v13 & ( ~ (v12 = 0) | (v14 = 0 & v13 = 0 & v10 = 0)))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (apply(v2, v6) = v8) |  ~ (apply(v2, v5) = v7) |  ~ (ordered_pair(v7, v8) = v9) |  ~ (in(v9, v1) = 0) |  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : (ordered_pair(v5, v6) = v12 & in(v12, v3) = v13 & in(v6, v0) = v11 & in(v5, v0) = v10 & ( ~ (v11 = 0) |  ~ (v10 = 0) | v13 = 0)))) | ( ~ (v3 = 0) & relation(v2) = v3))) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_difference(v0, empty_set) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (union(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & being_limit_ordinal(v0) = v2)) &  ! [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 |  ~ (empty_carrier_subset(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & one_sorted_str(v0) = v2)) &  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (centered(v0) = 0) |  ~ (set_meet(v1) = empty_set) |  ? [v2] :  ? [v3] : (subset(v1, v0) = v2 & finite(v1) = v3 & ( ~ (v3 = 0) |  ~ (v2 = 0)))) &  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_intersection2(v0, empty_set) = v1)) &  ! [v0] :  ! [v1] : (v1 = 0 | v0 = empty_set |  ~ (centered(v0) = v1) |  ? [v2] : ( ~ (v2 = empty_set) & set_meet(v2) = empty_set & subset(v2, v0) = 0 & finite(v2) = 0)) &  ! [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 |  ~ (equipotent(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (one_sorted_str(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & top_str(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 |  ~ (empty_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) | (v6 = 0 &  ~ (v7 = 0) & empty(v5) = v7 & element(v5, v4) = 0)))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v4) = v5 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ~ (element(empty_set, v5) = 0) |  ? [v6] : ( ~ (v6 = 0) & is_a_cover_of_carrier(v0, empty_set) = v6)))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] : ( ~ (element(v5, v4) = 0) |  ? [v6] : (subset_complement(v3, v5) = v6 &  ! [v7] :  ! [v8] : ( ~ (in(v7, v6) = v8) |  ? [v9] :  ? [v10] : (element(v7, v3) = v9 & in(v7, v5) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) |  ~ (v8 = 0)) & (v10 = 0 | v8 = 0)))))))))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & empty(v3) = v4 & ( ~ (v4 = 0) |  ~ (v2 = 0)))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (relation(v0) = v1) |  ? [v2] : (in(v2, v0) = 0 &  ! [v3] :  ! [v4] :  ~ (ordered_pair(v3, v4) = v2))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (function(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v4 = v3) & ordered_pair(v2, v4) = v6 & ordered_pair(v2, v3) = v5 & in(v6, v0) = 0 & in(v5, v0) = 0)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (function(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (preboolean(v0) = v1) |  ? [v2] :  ? [v3] : (cup_closed(v0) = v2 & diff_closed(v0) = v3 & ( ~ (v3 = 0) |  ~ (v2 = 0)))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (finite(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v0) = 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 |  ~ (epsilon_transitive(v0) = v1) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & subset(v2, v0) = v3 & 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 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ((v5 = v0 & v4 = 0 & v3 = 0 & relation_dom(v2) = v0 & relation(v2) = 0 & function(v2) = 0 &  ! [v6] :  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (apply(v2, v6) = v7) |  ~ (in(v7, v6) = v8) |  ? [v9] : ( ~ (v9 = 0) & in(v6, v0) = v9))) | (v3 = 0 & v2 = empty_set & in(empty_set, v0) = 0))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & finite(v3) = 0 & powerset(v0) = v2 & empty(v3) = v4 & element(v3, v2) = 0)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & powerset(v0) = v2 & empty(v3) = v4 & element(v3, 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] : ( ~ (are_equipotent(v0, v1) = 0) | equipotent(v0, v1) = 0) &  ! [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] : ( ~ (meet_absorbing(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (latt_str(v0) = v3 & the_carrier(v0) = v4 & empty_carrier(v0) = v2 & ( ~ (v3 = 0) | v2 = 0 | (( ~ (v1 = 0) |  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v12 |  ~ (meet(v0, v11, v12) = v13) |  ~ (join(v0, v13, v12) = v14) |  ~ (element(v11, v4) = 0) |  ? [v15] : ( ~ (v15 = 0) & element(v12, v4) = v15))) & (v1 = 0 | (v8 = 0 & v6 = 0 &  ~ (v10 = v7) & meet(v0, v5, v7) = v9 & join(v0, v9, v7) = v10 & element(v7, v4) = 0 & element(v5, 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] : ( ~ (well_orders(v1, v0) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (relation_restriction(v1, v0) = v3 & well_ordering(v3) = v5 & relation_field(v3) = v4 & relation(v1) = v2 & ( ~ (v2 = 0) | (v5 = 0 & v4 = v0)))) &  ! [v0] :  ! [v1] : ( ~ (being_limit_ordinal(v0) = 0) |  ~ (succ(v1) = v0) |  ? [v2] : (( ~ (v2 = 0) & ordinal(v1) = v2) | ( ~ (v2 = 0) & ordinal(v0) = v2))) &  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] :  ? [v3] : (rel_str(v0) = v2 & the_carrier(v0) = v3 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v4, v5) = v6) |  ~ (element(v4, v3) = 0) |  ~ (in(v6, v1) = v7) |  ? [v8] :  ? [v9] : (related(v0, v4, v5) = v9 & element(v5, v3) = v8 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | v7 = 0) & ( ~ (v7 = 0) | v9 = 0)))))))) &  ! [v0] :  ! [v1] : ( ~ (set_difference(v0, v1) = empty_set) | subset(v0, v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (equipotent(v0, v1) = 0) | equipotent(v1, v0) = 0) &  ! [v0] :  ! [v1] : ( ~ (equipotent(v0, v1) = 0) |  ? [v2] : (relation_rng(v2) = v1 & relation_dom(v2) = v0 & one_to_one(v2) = 0 & relation(v2) = 0 & function(v2) = 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 & epsilon_transitive(v1) = v3 & ordinal(v1) = v5 & ordinal(v0) = v2 & ( ~ (v2 = 0) | (v5 = 0 & v4 = 0 & v3 = 0)))) &  ! [v0] :  ! [v1] : ( ~ (is_well_founded_in(v0, v1) = 0) |  ~ (relation(v0) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (well_orders(v0, v1) = v6 & is_reflexive_in(v0, v1) = v2 & is_transitive_in(v0, v1) = v3 & is_connected_in(v0, v1) = v5 & is_antisymmetric_in(v0, v1) = v4 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | v6 = 0))) &  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v4) = v5 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v6] : ( ~ (element(v6, v5) = 0) |  ? [v7] :  ? [v8] : (is_a_cover_of_carrier(v0, v6) = v7 & union_of_subsets(v3, v6) = v8 & ( ~ (v8 = v1) | v7 = 0) & ( ~ (v7 = 0) | v8 = v1)))))) &  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v3 & empty_carrier(v0) = v2 & empty(v1) = v4 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v2 = 0))) &  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v5 |  ~ (subset_difference(v3, v1, v6) = v7) |  ~ (subset_difference(v3, v1, v5) = v6) |  ? [v8] : ( ~ (v8 = 0) & element(v5, v4) = v8))))) &  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] :  ! [v6] : (v6 = v5 |  ~ (subset_intersection2(v3, v5, v1) = v6) |  ? [v7] : ( ~ (v7 = 0) & element(v5, v4) = v7))))) &  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] :  ! [v6] : ( ~ (subset_difference(v3, v1, v5) = v6) |  ? [v7] :  ? [v8] : (subset_complement(v3, v5) = v8 & element(v5, v4) = v7 & ( ~ (v7 = 0) | v8 = v6)))))) &  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (top_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (subset_difference(v3, v1, v5) = v6) |  ~ (open_subset(v6, v0) = v7) |  ? [v8] :  ? [v9] : (closed_subset(v5, v0) = v9 & element(v5, v4) = v8 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | v7 = 0) & ( ~ (v7 = 0) | v9 = 0)))))))) &  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & ( ~ (v2 = 0) | v3 = v1))) &  ! [v0] :  ! [v1] : ( ~ (compact_top_space(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (topological_space(v0) = v3 & top_str(v0) = v4 & the_carrier(v0) = v5 & empty_carrier(v0) = v2 & powerset(v6) = v7 & powerset(v5) = v6 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v2 = 0 | (( ~ (v1 = 0) |  ! [v13] : ( ~ (element(v13, v7) = 0) |  ? [v14] :  ? [v15] :  ? [v16] : (meet_of_subsets(v5, v13) = v16 & closed_subsets(v13, v0) = v15 & centered(v13) = v14 & ( ~ (v16 = empty_set) |  ~ (v15 = 0) |  ~ (v14 = 0))))) & (v1 = 0 | (v12 = empty_set & v11 = 0 & v10 = 0 & v9 = 0 & meet_of_subsets(v5, v8) = empty_set & closed_subsets(v8, v0) = 0 & centered(v8) = 0 & element(v8, v7) = 0)))))) &  ! [v0] :  ! [v1] : ( ~ (compact_top_space(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (top_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v4) = v5 & powerset(v3) = v4 & ( ~ (v2 = 0) | (( ~ (v1 = 0) |  ! [v10] : ( ~ (element(v10, v5) = 0) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & is_a_cover_of_carrier(v0, v11) = 0 & subset(v11, v10) = 0 & finite(v11) = 0 & element(v11, v5) = 0) | (is_a_cover_of_carrier(v0, v10) = v11 & open_subsets(v10, v0) = v12 & ( ~ (v12 = 0) |  ~ (v11 = 0)))))) & (v1 = 0 | (v9 = 0 & v8 = 0 & v7 = 0 & is_a_cover_of_carrier(v0, v6) = 0 & open_subsets(v6, v0) = 0 & element(v6, v5) = 0 &  ! [v10] : ( ~ (element(v10, v5) = 0) |  ? [v11] :  ? [v12] :  ? [v13] : (is_a_cover_of_carrier(v0, v10) = v12 & subset(v10, v6) = v11 & finite(v10) = v13 & ( ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0)))))))))) &  ! [v0] :  ! [v1] : ( ~ (well_founded_relation(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (well_ordering(v0) = v3 & reflexive(v0) = v4 & transitive(v0) = v5 & connected(v0) = v7 & antisymmetric(v0) = v6 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v1 = 0) | v3 = 0) & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v1 = 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] : (fiber(v0, v7) = v8 & disjoint(v8, v6) = 0 & in(v7, v6) = 0))) & (v1 = 0 | (v5 = 0 &  ~ (v4 = empty_set) & subset(v4, v3) = 0 &  ! [v6] :  ! [v7] : ( ~ (fiber(v0, v6) = v7) |  ~ (disjoint(v7, v4) = 0) |  ? [v8] : ( ~ (v8 = 0) & in(v6, v4) = v8)))))))) &  ! [v0] :  ! [v1] : ( ~ (empty_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (one_sorted_str(v0) = v2 & empty(v1) = v3 & v5_membered(v1) = v8 & v4_membered(v1) = v7 & v3_membered(v1) = v6 & v2_membered(v1) = v5 & v1_membered(v1) = v4 & ( ~ (v2 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0)))) &  ! [v0] :  ! [v1] : ( ~ (the_L_meet(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (meet_semilatt_str(v0) = v3 & the_carrier(v0) = v4 & empty_carrier(v0) = v2 & ( ~ (v3 = 0) | v2 = 0 |  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (apply_binary_as_element(v4, v4, v4, v1, v5, v6) = v7) |  ~ (element(v5, v4) = 0) |  ? [v8] :  ? [v9] : (meet(v0, v5, v6) = v9 & element(v6, v4) = v8 & ( ~ (v8 = 0) | v9 = v7)))))) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | reflexive(v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | transitive(v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | antisymmetric(v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | relation(v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) |  ? [v2] :  ? [v3] : (well_ordering(v1) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) |  ? [v2] :  ? [v3] : (well_founded_relation(v1) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) |  ? [v2] :  ? [v3] : (connected(v1) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) &  ! [v0] :  ! [v1] : ( ~ (the_topology(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (top_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] : ( ~ (element(v5, v4) = 0) |  ? [v6] :  ? [v7] : (open_subset(v5, v0) = v6 & in(v5, v1) = v7 & ( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0)))))) &  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | finite(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 & epsilon_transitive(v1) = v4 & ordinal(v1) = v6 & ordinal(v0) = v2 & 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] : ( ~ (succ(v0) = v1) |  ? [v2] : (( ~ (v2 = 0) & ordinal(v0) = v2) | ( ! [v3] :  ! [v4] :  ! [v5] : (v4 = 0 |  ~ (in(v3, v2) = v4) |  ~ (in(v3, v1) = 0) |  ~ (in(v3, omega) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (ordinal(v3) = v6 & powerset(v7) = v8 & powerset(v3) = v7 & ( ~ (v6 = 0) | (v10 = 0 & v5 = 0 &  ~ (v9 = empty_set) & element(v9, v8) = 0 &  ! [v11] : ( ~ (in(v11, v9) = 0) |  ? [v12] : ( ~ (v12 = v11) & subset(v11, v12) = 0 & in(v12, v9) = 0)))))) &  ! [v3] : ( ~ (in(v3, v2) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : (ordinal(v3) = 0 & powerset(v5) = v6 & powerset(v3) = v5 & in(v3, v1) = 0 & in(v3, omega) = v4 & ( ~ (v4 = 0) |  ! [v7] : (v7 = empty_set |  ~ (element(v7, v6) = 0) |  ? [v8] : (in(v8, v7) = 0 &  ! [v9] : (v9 = v8 |  ~ (subset(v8, v9) = 0) |  ? [v10] : ( ~ (v10 = 0) & in(v9, v7) = v10)))))))))) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ? [v2] : (( ~ (v2 = 0) & ordinal(v0) = v2) | ( ! [v3] :  ! [v4] : (v4 = 0 |  ~ (in(v3, v1) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v3, v2) = v5)) &  ! [v3] :  ! [v4] : ( ~ (in(v3, v1) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v6 = 0 & v5 = v3 & ordinal(v3) = 0 & powerset(v8) = v9 & powerset(v3) = v8 & in(v3, omega) = v7 & ( ~ (v7 = 0) |  ! [v10] : (v10 = empty_set |  ~ (element(v10, v9) = 0) |  ? [v11] : (in(v11, v10) = 0 &  ! [v12] : (v12 = v11 |  ~ (subset(v11, v12) = 0) |  ? [v13] : ( ~ (v13 = 0) & in(v12, v10) = v13)))))) | ( ~ (v5 = 0) & in(v3, v2) = v5))) &  ! [v3] :  ! [v4] : ( ~ (in(v3, v1) = 0) |  ~ (in(v3, omega) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v5 = 0 & in(v3, v2) = 0) | (ordinal(v3) = v5 & powerset(v6) = v7 & powerset(v3) = v6 & ( ~ (v5 = 0) | (v9 = 0 & v4 = 0 &  ~ (v8 = empty_set) & element(v8, v7) = 0 &  ! [v10] : ( ~ (in(v10, v8) = 0) |  ? [v11] : ( ~ (v11 = v10) & subset(v10, v11) = 0 & in(v11, v8) = 0)))))))))) &  ! [v0] :  ! [v1] : ( ~ (the_L_join(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (the_carrier(v0) = v4 & empty_carrier(v0) = v2 & join_semilatt_str(v0) = v3 & ( ~ (v3 = 0) | v2 = 0 |  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (apply_binary_as_element(v4, v4, v4, v1, v5, v6) = v7) |  ~ (element(v5, v4) = 0) |  ? [v8] :  ? [v9] : (join(v0, v5, v6) = v9 & element(v6, v4) = v8 & ( ~ (v8 = 0) | v9 = v7)))))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & finite(v4) = v5 & finite(v1) = v6 & ( ~ (v5 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | v6 = 0))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v3 = 0) |  ~ (v2 = 0) | ( ! [v5] :  ! [v6] :  ! [v7] : (v6 = 0 |  ~ (in(v7, v4) = 0) |  ~ (in(v5, v1) = v6) |  ? [v8] : ( ~ (v8 = v5) & apply(v0, v7) = v8)) &  ! [v5] : ( ~ (in(v5, v1) = 0) |  ? [v6] : (apply(v0, v6) = v5 & in(v6, v4) = 0)) &  ? [v5] : (v5 = v1 |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (in(v6, v5) = v7 & ( ~ (v7 = 0) |  ! [v11] : ( ~ (in(v11, v4) = 0) |  ? [v12] : ( ~ (v12 = v6) & apply(v0, v11) = v12))) & (v7 = 0 | (v10 = v6 & v9 = 0 & apply(v0, v8) = v6 & in(v8, v4) = 0)))))))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0)))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v0) = v3 & empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v2 = 0))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_rng(v4) = v5) |  ~ (subset(v1, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (relation_dom(v4) = v9 & subset(v3, v9) = v10 & subset(v0, v4) = v8 & relation(v4) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0) | (v10 = 0 & v6 = 0))))))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] : ( ~ (relation_rng(v4) = v5) |  ~ (subset(v3, v5) = 0) |  ? [v6] :  ? [v7] :  ? [v8] : (relation_composition(v4, v0) = v7 & relation_rng(v7) = v8 & relation(v4) = v6 & ( ~ (v6 = 0) | v8 = v1)))))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] : ( ~ (relation_dom(v4) = v5) |  ~ (subset(v1, v5) = 0) |  ? [v6] :  ? [v7] :  ? [v8] : (relation_composition(v0, v4) = v7 & relation_dom(v7) = v8 & relation(v4) = v6 & ( ~ (v6 = 0) | v8 = v3)))))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v3 = empty_set) | v1 = empty_set) & ( ~ (v1 = empty_set) | v3 = empty_set))))) &  ! [v0] :  ! [v1] : ( ~ (topological_space(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (top_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] : ( ~ (element(v5, v4) = 0) |  ? [v6] :  ? [v7] : (closed_subset(v5, v0) = v6 & topstr_closure(v0, v5) = v7 & ( ~ (v7 = v5) |  ~ (v1 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = v5)))))) &  ! [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] : ( ~ (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] : ( ~ (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] : ( ~ (empty_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & empty(v3) = v4 & ( ~ (v2 = 0) | (( ~ (v4 = 0) | v1 = 0) & ( ~ (v1 = 0) | v4 = 0))))) &  ! [v0] :  ! [v1] : ( ~ (unordered_pair(v0, v0) = v1) | singleton(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (one_to_one(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v3 = 0) |  ~ (v2 = 0) | (( ~ (v1 = 0) |  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (in(v12, v4) = 0) |  ~ (in(v11, v4) = 0) |  ? [v13] :  ? [v14] : ( ~ (v14 = v13) & apply(v0, v12) = v14 & apply(v0, v11) = v13))) & (v1 = 0 | (v10 = v9 & v8 = 0 & v7 = 0 &  ~ (v6 = v5) & apply(v0, v6) = v9 & apply(v0, v5) = v9 & in(v6, v4) = 0 & in(v5, v4) = 0)))))) &  ! [v0] :  ! [v1] : ( ~ (one_to_one(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v0) = v2 & function(v0) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | v1 = 0))) &  ! [v0] :  ! [v1] : ( ~ (relation(v0) = 0) |  ~ (in(v1, v0) = 0) |  ? [v2] :  ? [v3] : ordered_pair(v2, v3) = v1) &  ! [v0] :  ! [v1] : ( ~ (epsilon_connected(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (epsilon_transitive(v0) = v3 & ordinal(v0) = v4 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0 & v1 = 0)))) &  ! [v0] :  ! [v1] : ( ~ (epsilon_connected(v0) = v1) |  ? [v2] :  ? [v3] : (epsilon_transitive(v0) = v3 & ordinal(v0) = v2 & ( ~ (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] : ( ~ (powerset(v0) = v1) | union(v1) = v0) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | preboolean(v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | cup_closed(v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | diff_closed(v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (one_to_one(v2) = 0 & relation(v2) = 0 & function(v2) = 0 & finite(v2) = 0 & epsilon_connected(v2) = 0 & epsilon_transitive(v2) = 0 & ordinal(v2) = 0 & empty(v2) = 0 & natural(v2) = 0 & element(v2, v1) = 0)) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (empty(v2) = 0 & element(v2, v1) = 0)) &  ! [v0] :  ! [v1] : ( ~ (v5_membered(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (empty(v0) = v2 & v4_membered(v0) = v6 & v3_membered(v0) = v5 & v2_membered(v0) = v4 & v1_membered(v0) = v3 & ( ~ (v2 = 0) | (v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0 & v1 = 0)))) &  ! [v0] :  ! [v1] : ( ~ (natural(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (epsilon_connected(v0) = v5 & epsilon_transitive(v0) = v4 & ordinal(v0) = v3 & empty(v0) = v2 & ( ~ (v3 = 0) |  ~ (v2 = 0) | (v5 = 0 & v4 = 0 & v1 = 0)))) &  ! [v0] :  ! [v1] : ( ~ (element(v0, v1) = 0) |  ? [v2] :  ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 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] :  ! [v1] : ( ~ (ordinal(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) & in(v1, v0) = v2))) &  ! [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] : (v0 = omega |  ~ (in(empty_set, v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ((v4 = 0 & v3 = 0 & v2 = 0 &  ~ (v5 = 0) & being_limit_ordinal(v1) = 0 & subset(v0, v1) = v5 & ordinal(v1) = 0 & in(empty_set, v1) = 0) | (being_limit_ordinal(v0) = v1 & ordinal(v0) = v2 & ( ~ (v2 = 0) |  ~ (v1 = 0))))) &  ! [v0] : ( ~ (meet_absorbing(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (latt_str(v0) = v3 & meet_commutative(v0) = v2 & the_carrier(v0) = v4 & empty_carrier(v0) = v1 & ( ~ (v3 = 0) |  ~ (v2 = 0) | v1 = 0 |  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (below(v0, v7, v5) = v8) |  ~ (meet_commut(v0, v5, v6) = v7) |  ~ (element(v5, v4) = 0) |  ? [v9] : ( ~ (v9 = 0) & element(v6, v4) = v9))))) &  ! [v0] : ( ~ (latt_str(v0) = 0) | (meet_semilatt_str(v0) = 0 & join_semilatt_str(v0) = 0)) &  ! [v0] : ( ~ (antisymmetric_relstr(v0) = 0) |  ? [v1] :  ? [v2] : (rel_str(v0) = v1 & the_carrier(v0) = v2 & ( ~ (v1 = 0) |  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (element(v4, v2) = 0) |  ~ (element(v3, v2) = 0) |  ? [v5] :  ? [v6] : (related(v0, v4, v3) = v6 & related(v0, v3, v4) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0))))))) &  ! [v0] : ( ~ (rel_str(v0) = 0) | one_sorted_str(v0) = 0) &  ! [v0] : ( ~ (transitive_relstr(v0) = 0) |  ? [v1] :  ? [v2] : (rel_str(v0) = v1 & the_carrier(v0) = v2 & ( ~ (v1 = 0) |  ! [v3] :  ! [v4] : ( ~ (element(v4, v2) = 0) |  ~ (element(v3, v2) = 0) |  ? [v5] : (related(v0, v3, v4) = v5 &  ! [v6] : ( ~ (v5 = 0) |  ~ (element(v6, v2) = 0) |  ? [v7] :  ? [v8] : (related(v0, v4, v6) = v7 & related(v0, v3, v6) = v8 & ( ~ (v7 = 0) | v8 = 0)))))))) &  ! [v0] : ( ~ (union(v0) = v0) | being_limit_ordinal(v0) = 0) &  ! [v0] : ( ~ (one_sorted_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (the_carrier(v0) = v1 & powerset(v2) = v3 & powerset(v1) = v2 &  ! [v4] : ( ~ (element(v4, v3) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (complements_of_subsets(v1, v4) = v5 & finite(v5) = v6 & finite(v4) = v7 & ( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) &  ! [v0] :  ~ (singleton(v0) = empty_set) &  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (top_str(v0) = v2 & the_carrier(v0) = v3 & empty_carrier(v0) = v1 & powerset(v3) = v4 & ( ~ (v2 = 0) | v1 = 0 | (v8 = 0 & v6 = 0 &  ~ (v7 = 0) & closed_subset(v5, v0) = 0 & empty(v5) = v7 & element(v5, v4) = 0)))) &  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v2) = v3 & ( ~ (v1 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & closed_subset(v4, v0) = 0 & open_subset(v4, v0) = 0 & element(v4, v3) = 0)))) &  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v2) = v3 & ( ~ (v1 = 0) | (v6 = 0 & v5 = 0 & closed_subset(v4, v0) = 0 & element(v4, v3) = 0)))) &  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v2) = v3 & ( ~ (v1 = 0) | (v6 = 0 & v5 = 0 & open_subset(v4, v0) = 0 & element(v4, v3) = 0)))) &  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (top_str(v0) = v2 & the_carrier(v0) = v3 & empty_carrier(v0) = v1 & powerset(v3) = v4 & ( ~ (v2 = 0) | v1 = 0 |  ! [v5] :  ! [v6] : ( ~ (element(v6, v4) = 0) |  ~ (element(v5, v3) = 0) |  ? [v7] :  ? [v8] :  ? [v9] : (point_neighbourhood(v6, v0, v5) = v7 & interior(v0, v6) = v8 & in(v5, v8) = v9 & ( ~ (v9 = 0) | v7 = 0) & ( ~ (v7 = 0) | v9 = 0)))))) &  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v3) = v4 & powerset(v2) = v3 & ( ~ (v1 = 0) |  ! [v5] : ( ~ (element(v5, v4) = 0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v8 = 0 & v7 = 0 &  ~ (v9 = 0) & closed_subset(v6, v0) = v9 & element(v6, v3) = 0 & in(v6, v5) = 0) | (v7 = 0 & meet_of_subsets(v2, v5) = v6 & closed_subset(v6, v0) = 0)))))) &  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v3) = v4 & powerset(v2) = v3 & ( ~ (v1 = 0) |  ! [v5] : ( ~ (element(v5, v3) = 0) |  ? [v6] :  ? [v7] : (meet_of_subsets(v2, v7) = v6 & topstr_closure(v0, v5) = v6 & element(v7, v4) = 0 &  ! [v8] : ( ~ (element(v8, v3) = 0) |  ? [v9] :  ? [v10] :  ? [v11] : (closed_subset(v8, v0) = v10 & subset(v5, v8) = v11 & in(v8, v7) = v9 & ( ~ (v11 = 0) |  ~ (v10 = 0) | v9 = 0) & ( ~ (v9 = 0) | (v11 = 0 & v10 = 0))))))))) &  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v2) = v3 & ( ~ (v1 = 0) |  ! [v4] : ( ~ (top_str(v4) = 0) |  ? [v5] :  ? [v6] : (the_carrier(v4) = v5 & powerset(v5) = v6 &  ! [v7] : ( ~ (element(v7, v3) = 0) |  ? [v8] :  ? [v9] : (interior(v0, v7) = v8 & open_subset(v7, v0) = v9 &  ! [v10] : ( ~ (v8 = v7) | v9 = 0 |  ~ (element(v10, v6) = 0)) &  ! [v10] : ( ~ (element(v10, v6) = 0) |  ? [v11] :  ? [v12] : (interior(v4, v10) = v12 & open_subset(v10, v4) = v11 & ( ~ (v11 = 0) | v12 = v10)))))))))) &  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v2) = v3 & ( ~ (v1 = 0) |  ! [v4] : ( ~ (element(v4, v3) = 0) |  ? [v5] : (interior(v0, v4) = v5 & open_subset(v5, v0) = 0))))) &  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (the_carrier(v0) = v1 & powerset(v2) = v3 & powerset(v1) = v2 &  ! [v4] : ( ~ (element(v4, v3) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (closed_subsets(v4, v0) = v5 & ( ~ (v5 = 0) |  ! [v10] : ( ~ (element(v10, v2) = 0) |  ? [v11] :  ? [v12] : (closed_subset(v10, v0) = v12 & in(v10, v4) = v11 & ( ~ (v11 = 0) | v12 = 0)))) & (v5 = 0 | (v8 = 0 & v7 = 0 &  ~ (v9 = 0) & closed_subset(v6, v0) = v9 & element(v6, v2) = 0 & in(v6, v4) = 0)))))) &  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (the_carrier(v0) = v1 & powerset(v2) = v3 & powerset(v1) = v2 &  ! [v4] : ( ~ (element(v4, v3) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (open_subsets(v4, v0) = v5 & ( ~ (v5 = 0) |  ! [v10] : ( ~ (element(v10, v2) = 0) |  ? [v11] :  ? [v12] : (open_subset(v10, v0) = v12 & in(v10, v4) = v11 & ( ~ (v11 = 0) | v12 = 0)))) & (v5 = 0 | (v8 = 0 & v7 = 0 &  ~ (v9 = 0) & open_subset(v6, v0) = v9 & element(v6, v2) = 0 & in(v6, v4) = 0)))))) &  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (the_carrier(v0) = v1 & powerset(v2) = v3 & powerset(v1) = v2 &  ! [v4] : ( ~ (element(v4, v3) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (complements_of_subsets(v1, v4) = v6 & closed_subsets(v6, v0) = v7 & open_subsets(v4, v0) = v5 & ( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 = 0))))) &  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (the_carrier(v0) = v1 & powerset(v2) = v3 & powerset(v1) = v2 &  ! [v4] : ( ~ (element(v4, v3) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (complements_of_subsets(v1, v4) = v6 & closed_subsets(v4, v0) = v5 & open_subsets(v6, v0) = v7 & ( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 = 0))))) &  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (subset_complement(v1, v5) = v6) |  ~ (subset_complement(v1, v3) = v4) |  ~ (topstr_closure(v0, v4) = v5) |  ? [v7] :  ? [v8] : (interior(v0, v3) = v8 & element(v3, v2) = v7 & ( ~ (v7 = 0) | v8 = v6))))) &  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (closed_subset(v4, v0) = v5) |  ~ (subset_complement(v1, v3) = v4) |  ? [v6] :  ? [v7] : (open_subset(v3, v0) = v7 & element(v3, v2) = v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 = 0))))))) &  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (subset_complement(v1, v3) = v4) |  ~ (open_subset(v4, v0) = v5) |  ? [v6] :  ? [v7] : (closed_subset(v3, v0) = v7 & element(v3, v2) = v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 = 0))))))) &  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] : (interior(v0, v3) = v4 & subset(v4, v3) = 0)))) &  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] : (topstr_closure(v0, v3) = v4 & subset(v3, v4) = 0)))) &  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] : (topstr_closure(v0, v3) = v4 &  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (in(v5, v4) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : ((v10 = 0 & v9 = 0 & v8 = 0 &  ~ (v11 = 0) & closed_subset(v7, v0) = 0 & subset(v3, v7) = 0 & element(v7, v2) = 0 & in(v5, v7) = v11) | ( ~ (v7 = 0) & in(v5, v1) = v7))) &  ! [v5] :  ! [v6] : ( ~ (element(v6, v2) = 0) |  ~ (in(v5, v4) = 0) |  ? [v7] :  ? [v8] :  ? [v9] : (( ~ (v7 = 0) & in(v5, v1) = v7) | (closed_subset(v6, v0) = v7 & subset(v3, v6) = v8 & in(v5, v6) = v9 & ( ~ (v8 = 0) |  ~ (v7 = 0) | v9 = 0)))))))) &  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] : (topstr_closure(v0, v3) = v4 &  ! [v5] : (v5 = v4 |  ~ (element(v5, v2) = 0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (in(v6, v5) = v7 & in(v6, v1) = 0 & ( ~ (v7 = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & open_subset(v8, v0) = 0 & disjoint(v3, v8) = 0 & element(v8, v2) = 0 & in(v6, v8) = 0)) & (v7 = 0 |  ! [v13] : ( ~ (element(v13, v2) = 0) |  ? [v14] :  ? [v15] :  ? [v16] : (open_subset(v13, v0) = v14 & disjoint(v3, v13) = v16 & in(v6, v13) = v15 & ( ~ (v16 = 0) |  ~ (v15 = 0) |  ~ (v14 = 0))))))) &  ! [v5] : ( ~ (element(v4, v2) = 0) |  ~ (in(v5, v1) = 0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (in(v5, v4) = v6 & ( ~ (v6 = 0) |  ! [v12] : ( ~ (element(v12, v2) = 0) |  ? [v13] :  ? [v14] :  ? [v15] : (open_subset(v12, v0) = v13 & disjoint(v3, v12) = v15 & in(v5, v12) = v14 & ( ~ (v15 = 0) |  ~ (v14 = 0) |  ~ (v13 = 0))))) & (v6 = 0 | (v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & open_subset(v7, v0) = 0 & disjoint(v3, v7) = 0 & element(v7, v2) = 0 & in(v5, v7) = 0)))))))) &  ! [v0] : ( ~ (meet_semilatt_str(v0) = 0) | one_sorted_str(v0) = 0) &  ! [v0] : ( ~ (join_commutative(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (the_carrier(v0) = v3 & empty_carrier(v0) = v1 & join_semilatt_str(v0) = v2 & ( ~ (v2 = 0) | v1 = 0 |  ! [v4] :  ! [v5] : (v5 = v4 |  ~ (element(v5, v3) = 0) |  ~ (element(v4, v3) = 0) |  ? [v6] :  ? [v7] : (below(v0, v5, v4) = v7 & below(v0, v4, v5) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0))))))) &  ! [v0] : ( ~ (join_semilatt_str(v0) = 0) | one_sorted_str(v0) = 0) &  ! [v0] : ( ~ (join_semilatt_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v2 & empty_carrier(v0) = v1 & (v1 = 0 |  ! [v3] :  ! [v4] : ( ~ (element(v4, v2) = 0) |  ~ (element(v3, v2) = 0) |  ? [v5] :  ? [v6] : (below(v0, v3, v4) = v5 & join(v0, v3, v4) = v6 & ( ~ (v6 = v4) | v5 = 0) & ( ~ (v5 = 0) | v6 = v4)))))) &  ! [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] : ( ~ (preboolean(v0) = 0) | (cup_closed(v0) = 0 & diff_closed(v0) = 0)) &  ! [v0] : ( ~ (finite(v0) = 0) |  ? [v1] :  ? [v2] : (relation_rng(v1) = v0 & relation_dom(v1) = v2 & relation(v1) = 0 & function(v1) = 0 & in(v2, omega) = 0)) &  ! [v0] : ( ~ (finite(v0) = 0) |  ? [v1] :  ? [v2] : (powerset(v1) = v2 & powerset(v0) = v1 &  ! [v3] : (v3 = empty_set |  ~ (element(v3, v2) = 0) |  ? [v4] : (in(v4, v3) = 0 &  ! [v5] : (v5 = v4 |  ~ (subset(v4, v5) = 0) |  ? [v6] : ( ~ (v6 = 0) & in(v5, v3) = v6)))))) &  ! [v0] : ( ~ (finite(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) | finite(v2) = 0))) &  ! [v0] : ( ~ (epsilon_connected(v0) = 0) |  ? [v1] :  ? [v2] : (epsilon_transitive(v0) = v1 & ordinal(v0) = v2 & ( ~ (v1 = 0) | v2 = 0))) &  ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0) &  ! [v0] : ( ~ (empty(v0) = 0) |  ? [v1] : (relation_dom(v0) = v1 & relation(v1) = 0 & empty(v1) = 0)) &  ! [v0] : ( ~ (v5_membered(v0) = 0) | v4_membered(v0) = 0) &  ! [v0] : ( ~ (v5_membered(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) | (v5_membered(v2) = 0 & v4_membered(v2) = 0 & v3_membered(v2) = 0 & v2_membered(v2) = 0 & v1_membered(v2) = 0)))) &  ! [v0] : ( ~ (natural(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (succ(v0) = v2 & epsilon_connected(v2) = v5 & epsilon_transitive(v2) = v4 & ordinal(v2) = v6 & ordinal(v0) = v1 & empty(v2) = v3 & natural(v2) = v7 & ( ~ (v1 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 &  ~ (v3 = 0))))) &  ! [v0] : ( ~ (v4_membered(v0) = 0) | v3_membered(v0) = 0) &  ! [v0] : ( ~ (v4_membered(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) | (v4_membered(v2) = 0 & v3_membered(v2) = 0 & v2_membered(v2) = 0 & v1_membered(v2) = 0)))) &  ! [v0] : ( ~ (v3_membered(v0) = 0) | v2_membered(v0) = 0) &  ! [v0] : ( ~ (v3_membered(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) | (v3_membered(v2) = 0 & v2_membered(v2) = 0 & v1_membered(v2) = 0)))) &  ! [v0] : ( ~ (v2_membered(v0) = 0) | v1_membered(v0) = 0) &  ! [v0] : ( ~ (v2_membered(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) | (v2_membered(v2) = 0 & v1_membered(v2) = 0)))) &  ! [v0] : ( ~ (v1_membered(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) | v1_membered(v2) = 0))) &  ! [v0] : ( ~ (element(v0, omega) = 0) | (epsilon_connected(v0) = 0 & epsilon_transitive(v0) = 0 & ordinal(v0) = 0 & natural(v0) = 0)) &  ! [v0] :  ~ (proper_subset(v0, v0) = 0) &  ! [v0] :  ~ (in(v0, empty_set) = 0) &  ! [v0] : ( ~ (in(empty_set, v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (being_limit_ordinal(v0) = v2 & subset(omega, v0) = v3 & ordinal(v0) = v1 & ( ~ (v2 = 0) |  ~ (v1 = 0) | v3 = 0))) &  ? [v0] :  ? [v1] :  ? [v2] : relation_of2(v2, v0, v1) = 0 &  ? [v0] :  ? [v1] :  ? [v2] : relation_of2_as_subset(v2, v0, v1) = 0 &  ? [v0] :  ? [v1] :  ? [v2] : (relation_of2(v2, v0, v1) = 0 & quasi_total(v2, v0, v1) = 0 & relation(v2) = 0 & function(v2) = 0) &  ? [v0] :  ? [v1] :  ? [v2] : (relation_of2(v2, v0, v1) = 0 & relation(v2) = 0 & function(v2) = 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] : (well_orders(v1, v0) = 0 & relation(v1) = 0) &  ? [v0] :  ? [v1] : (relation_dom(v1) = v0 & relation(v1) = 0 & function(v1) = 0 &  ! [v2] :  ! [v3] : ( ~ (singleton(v2) = v3) |  ? [v4] :  ? [v5] : (apply(v1, v2) = v5 & in(v2, v0) = v4 & ( ~ (v4 = 0) | v5 = v3)))) &  ? [v0] :  ? [v1] : (relation(v1) = 0 & function(v1) = 0 &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (in(v4, v1) = v5) |  ? [v6] :  ? [v7] : (singleton(v2) = v7 & in(v2, v0) = v6 & ( ~ (v7 = v3) |  ~ (v6 = 0)))) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) |  ~ (in(v4, v1) = 0) | (singleton(v2) = v3 & in(v2, 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] :  ? [v1] : ( ! [v2] :  ! [v3] :  ! [v4] : (v3 = 0 |  ~ (singleton(v4) = v2) |  ~ (in(v2, v1) = v3) |  ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = v5)) &  ! [v2] : ( ~ (in(v2, v1) = 0) |  ? [v3] : (singleton(v3) = v2 & in(v3, v0) = 0))) &  ? [v0] :  ? [v1] : ( ! [v2] :  ! [v3] : ( ~ (ordinal(v2) = v3) |  ? [v4] :  ? [v5] : (in(v2, v1) = v4 & in(v2, v0) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0)))) &  ! [v2] : ( ~ (ordinal(v2) = 0) |  ? [v3] :  ? [v4] : (in(v2, v1) = v4 & in(v2, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))) &  ? [v0] :  ? [v1] : ( ! [v2] :  ! [v3] : ( ~ (ordinal(v2) = v3) |  ? [v4] :  ? [v5] : ((v5 = 0 & v4 = v2 & v3 = 0 & in(v2, v0) = 0) | ( ~ (v4 = 0) & in(v2, v1) = v4))) &  ! [v2] : ( ~ (ordinal(v2) = 0) |  ~ (in(v2, v0) = 0) | in(v2, v1) = 0)) &  ? [v0] : (v0 = empty_set |  ? [v1] : in(v1, v0) = 0) & ( ! [v0] : ( ~ (in(v0, omega) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (ordinal(v0) = v1 & powerset(v2) = v3 & powerset(v0) = v2 & ( ~ (v1 = 0) |  ! [v4] : (v4 = empty_set |  ~ (element(v4, v3) = 0) |  ? [v5] : (in(v5, v4) = 0 &  ! [v6] : (v6 = v5 |  ~ (subset(v5, v6) = 0) |  ? [v7] : ( ~ (v7 = 0) & in(v6, v4) = v7))))))) | (all_0_31_31 = 0 & all_0_35_35 = 0 & all_0_40_40 = 0 &  ~ (all_0_32_32 = empty_set) & succ(all_0_41_41) = all_0_36_36 & ordinal(all_0_41_41) = 0 & powerset(all_0_34_34) = all_0_33_33 & powerset(all_0_36_36) = all_0_34_34 & powerset(all_0_38_38) = all_0_37_37 & powerset(all_0_41_41) = all_0_38_38 & element(all_0_32_32, all_0_33_33) = 0 & in(all_0_36_36, omega) = 0 & in(all_0_41_41, omega) = all_0_39_39 &  ! [v0] : ( ~ (in(v0, all_0_32_32) = 0) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_32_32) = 0)) & ( ~ (all_0_39_39 = 0) |  ! [v0] : (v0 = empty_set |  ~ (element(v0, all_0_37_37) = 0) |  ? [v1] : (in(v1, v0) = 0 &  ! [v2] : (v2 = v1 |  ~ (subset(v1, v2) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v2, v0) = v3)))))) | (all_0_34_34 = 0 & all_0_38_38 = 0 & all_0_39_39 = 0 & all_0_40_40 = 0 &  ~ (all_0_35_35 = empty_set) &  ~ (all_0_41_41 = empty_set) & being_limit_ordinal(all_0_41_41) = 0 & ordinal(all_0_41_41) = 0 & powerset(all_0_37_37) = all_0_36_36 & powerset(all_0_41_41) = all_0_37_37 & element(all_0_35_35, all_0_36_36) = 0 & in(all_0_41_41, omega) = 0 &  ! [v0] : ( ~ (in(v0, all_0_35_35) = 0) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_35_35) = 0)) &  ! [v0] : ( ~ (in(v0, omega) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (ordinal(v0) = v1 & powerset(v3) = v4 & powerset(v0) = v3 & in(v0, all_0_41_41) = v2 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ! [v5] : (v5 = empty_set |  ~ (element(v5, v4) = 0) |  ? [v6] : (in(v6, v5) = 0 &  ! [v7] : (v7 = v6 |  ~ (subset(v6, v7) = 0) |  ? [v8] : ( ~ (v8 = 0) & in(v7, v5) = v8)))))))) | (all_0_40_40 = 0 &  ~ (all_0_41_41 = empty_set) & element(all_0_41_41, all_0_56_56) = 0 &  ! [v0] : ( ~ (in(v0, all_0_41_41) = 0) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_41_41) = 0)))) & ( ! [v0] : ( ~ (in(v0, omega) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (ordinal(v0) = v1 & powerset(v2) = v3 & powerset(v0) = v2 & ( ~ (v1 = 0) |  ! [v4] : (v4 = empty_set |  ~ (element(v4, v3) = 0) |  ? [v5] : (in(v5, v4) = 0 &  ! [v6] : (v6 = v5 |  ~ (subset(v5, v6) = 0) |  ? [v7] : ( ~ (v7 = 0) & in(v6, v4) = v7))))))) | (all_0_42_42 = 0 & all_0_46_46 = 0 & all_0_47_47 = 0 &  ~ (all_0_43_43 = empty_set) & ordinal(all_0_48_48) = 0 & powerset(all_0_45_45) = all_0_44_44 & powerset(all_0_48_48) = all_0_45_45 & element(all_0_43_43, all_0_44_44) = 0 & in(all_0_48_48, omega) = 0 &  ! [v0] : ( ~ (in(v0, all_0_43_43) = 0) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_43_43) = 0)) &  ! [v0] : ( ~ (in(v0, omega) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (ordinal(v0) = v1 & powerset(v3) = v4 & powerset(v0) = v3 & in(v0, all_0_48_48) = v2 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ! [v5] : (v5 = empty_set |  ~ (element(v5, v4) = 0) |  ? [v6] : (in(v6, v5) = 0 &  ! [v7] : (v7 = v6 |  ~ (subset(v6, v7) = 0) |  ? [v8] : ( ~ (v8 = 0) & in(v7, v5) = v8)))))))))
% 181.74/111.39  |
% 181.74/111.39  | Applying alpha-rule on (1) yields:
% 181.74/111.39  | (2)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (cast_as_carrier_subset(v0) = v1) |  ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & one_sorted_str(v0) = v5))
% 181.74/111.39  | (3) epsilon_connected(all_0_26_26) = 0
% 181.74/111.39  | (4)  ! [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))
% 181.74/111.39  | (5)  ? [v0] :  ? [v1] : (relation(v1) = 0 & function(v1) = 0 &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (in(v4, v1) = v5) |  ? [v6] :  ? [v7] : (singleton(v2) = v7 & in(v2, v0) = v6 & ( ~ (v7 = v3) |  ~ (v6 = 0)))) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) |  ~ (in(v4, v1) = 0) | (singleton(v2) = v3 & in(v2, v0) = 0)))
% 181.74/111.39  | (6)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | transitive(v1) = 0)
% 181.74/111.39  | (7) epsilon_connected(all_0_14_14) = 0
% 181.74/111.39  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 | v3 = v0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ (in(v3, v2) = 0))
% 181.74/111.39  | (9)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset(v2, v0) = 0) |  ~ (powerset(v0) = v1) | in(v2, v1) = 0)
% 181.74/111.39  | (10)  ! [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))))))
% 181.74/111.39  | (11) epsilon_transitive(empty_set) = 0
% 181.74/111.39  | (12)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = v0) & set_difference(v0, v1) = v3))
% 181.74/111.39  | (13)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (empty_carrier_subset(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & one_sorted_str(v0) = v2))
% 181.74/111.39  | (14)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation(v2) = v1) |  ~ (relation(v2) = v0))
% 181.74/111.39  | (15)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pair_second(v2) = v1) |  ~ (pair_second(v2) = v0))
% 181.74/111.39  | (16)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | function(v1) = 0)
% 181.74/111.39  | (17) empty(all_0_9_9) = all_0_8_8
% 181.74/111.39  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (subset_intersection2(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))))
% 181.74/111.40  | (19)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_of2_as_subset(v4, v3, v2) = v1) |  ~ (relation_of2_as_subset(v4, v3, v2) = v0))
% 181.74/111.40  | (20)  ! [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)))
% 181.74/111.40  | (21)  ! [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)))
% 181.74/111.40  | (22)  ? [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)))))
% 181.74/111.40  | (23)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & powerset(v0) = v2 & empty(v3) = v4 & element(v3, v2) = 0))
% 181.74/111.40  | (24)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (transitive(v2) = v1) |  ~ (transitive(v2) = v0))
% 181.74/111.40  | (25)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (succ(v2) = v1) |  ~ (succ(v2) = v0))
% 181.74/111.40  | (26)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (ordinal(v2) = v1) |  ~ (ordinal(v2) = v0))
% 181.74/111.40  | (27)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (topological_space(v0) = v4 & top_str(v0) = v5 & powerset(v3) = v6 & ( ~ (v5 = 0) |  ~ (v4 = 0) | (v8 = 0 & element(v7, v6) = 0 &  ! [v9] : ( ~ (element(v9, v3) = 0) |  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (subset(v1, v9) = v11 & in(v9, v7) = v10 & ( ~ (v11 = 0) | v10 = 0 |  ? [v15] : ( ~ (v15 = 0) & closed_subset(v9, v0) = v15)) & ( ~ (v10 = 0) | (v14 = 0 & v13 = 0 & v12 = v9 & v11 = 0 & closed_subset(v9, v0) = 0))))))))
% 181.74/111.40  | (28)  ! [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)))
% 181.74/111.40  | (29) empty(all_0_23_23) = all_0_22_22
% 181.74/111.40  | (30)  ! [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))))
% 181.74/111.40  | (31)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ? [v2] : (( ~ (v2 = 0) & ordinal(v0) = v2) | ( ! [v3] :  ! [v4] : (v4 = 0 |  ~ (in(v3, v1) = v4) |  ? [v5] : ( ~ (v5 = 0) & in(v3, v2) = v5)) &  ! [v3] :  ! [v4] : ( ~ (in(v3, v1) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v6 = 0 & v5 = v3 & ordinal(v3) = 0 & powerset(v8) = v9 & powerset(v3) = v8 & in(v3, omega) = v7 & ( ~ (v7 = 0) |  ! [v10] : (v10 = empty_set |  ~ (element(v10, v9) = 0) |  ? [v11] : (in(v11, v10) = 0 &  ! [v12] : (v12 = v11 |  ~ (subset(v11, v12) = 0) |  ? [v13] : ( ~ (v13 = 0) & in(v12, v10) = v13)))))) | ( ~ (v5 = 0) & in(v3, v2) = v5))) &  ! [v3] :  ! [v4] : ( ~ (in(v3, v1) = 0) |  ~ (in(v3, omega) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v5 = 0 & in(v3, v2) = 0) | (ordinal(v3) = v5 & powerset(v6) = v7 & powerset(v3) = v6 & ( ~ (v5 = 0) | (v9 = 0 & v4 = 0 &  ~ (v8 = empty_set) & element(v8, v7) = 0 &  ! [v10] : ( ~ (in(v10, v8) = 0) |  ? [v11] : ( ~ (v11 = v10) & subset(v10, v11) = 0 & in(v11, v8) = 0))))))))))
% 181.74/111.40  | (32)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (inclusion_relation(v2) = v1) |  ~ (inclusion_relation(v2) = v0))
% 181.74/111.40  | (33)  ! [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)))
% 181.74/111.40  | (34)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (singleton(v0) = v1) |  ~ (in(v0, v1) = v2))
% 181.74/111.40  | (35)  ? [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))
% 181.74/111.40  | (36)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & finite(v4) = v5 & finite(v1) = v6 & ( ~ (v5 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | v6 = 0)))
% 181.74/111.40  | (37)  ! [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))
% 181.74/111.40  | (38)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v0) = v1) |  ~ (in(v2, v1) = 0))
% 181.74/111.40  | (39) epsilon_transitive(all_0_14_14) = 0
% 181.74/111.40  | (40)  ! [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))))
% 181.74/111.40  | (41)  ! [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)))))
% 181.74/111.40  | (42)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (relation(v1) = 0) |  ~ (function(v2) = 0) |  ? [v3] :  ? [v4] : ((v4 = 0 & relation(v3) = 0 &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (apply(v2, v6) = v8) |  ~ (apply(v2, v5) = v7) |  ~ (ordered_pair(v7, v8) = v9) |  ~ (in(v9, v1) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (ordered_pair(v5, v6) = v11 & in(v11, v3) = v12 & in(v6, v0) = v14 & in(v5, v0) = v13 & ( ~ (v12 = 0) | (v14 = 0 & v13 = 0 & v10 = 0)))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (apply(v2, v6) = v8) |  ~ (apply(v2, v5) = v7) |  ~ (ordered_pair(v7, v8) = v9) |  ~ (in(v9, v1) = 0) |  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : (ordered_pair(v5, v6) = v12 & in(v12, v3) = v13 & in(v6, v0) = v11 & in(v5, v0) = v10 & ( ~ (v11 = 0) |  ~ (v10 = 0) | v13 = 0)))) | ( ~ (v3 = 0) & relation(v2) = v3)))
% 181.74/111.40  | (43)  ! [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))
% 181.74/111.40  | (44)  ! [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))
% 181.74/111.40  | (45)  ! [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)))
% 181.74/111.40  | (46)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | relation(v1) = 0)
% 181.74/111.40  | (47)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (function(v2) = v1) |  ~ (function(v2) = v0))
% 181.74/111.40  | (48)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (cast_as_carrier_subset(v2) = v1) |  ~ (cast_as_carrier_subset(v2) = v0))
% 181.74/111.40  | (49)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (meet_of_subsets(v3, v2) = v1) |  ~ (meet_of_subsets(v3, v2) = v0))
% 181.74/111.40  | (50)  ! [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))
% 181.74/111.40  | (51)  ! [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)))))
% 181.74/111.40  | (52)  ? [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)))
% 181.74/111.40  | (53)  ? [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)))
% 181.74/111.40  | (54) singleton(empty_set) = all_0_57_57
% 181.74/111.40  | (55)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_intersection2(v0, empty_set) = v1))
% 181.74/111.40  | (56)  ! [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)
% 181.74/111.40  | (57)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) |  ? [v3] : ( ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v5, v6) = v4) |  ~ (in(v4, v2) = 0) |  ? [v7] :  ? [v8] : ((v7 = 0 & in(v4, v3) = 0) | (singleton(v5) = v8 & in(v5, v0) = v7 & ( ~ (v8 = v6) |  ~ (v7 = 0))))) &  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (in(v4, v2) = v5) |  ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6)) &  ! [v4] :  ! [v5] : ( ~ (in(v4, v2) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = v7 & v9 = 0 & v8 = v4 & singleton(v6) = v7 & ordered_pair(v6, v7) = v4 & in(v6, v0) = 0) | ( ~ (v6 = 0) & in(v4, v3) = v6)))))
% 181.74/111.41  | (58)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] : (relation(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 181.74/111.41  | (59)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_dom_as_subset(v4, v3, v2) = v1) |  ~ (relation_dom_as_subset(v4, v3, v2) = v0))
% 181.74/111.41  | (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (function(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v4 = v3) & ordered_pair(v2, v4) = v6 & ordered_pair(v2, v3) = v5 & in(v6, v0) = 0 & in(v5, v0) = 0))
% 181.74/111.41  | (61)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (identity_relation(v2) = v1) |  ~ (identity_relation(v2) = v0))
% 181.74/111.41  | (62)  ! [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)))))
% 181.74/111.41  | (63)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (v5_membered(v2) = v8 & v5_membered(v0) = v3 & v4_membered(v2) = v7 & v3_membered(v2) = v6 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0))))
% 181.74/111.41  | (64) the_carrier(all_0_55_55) = all_0_53_53
% 181.74/111.41  | (65) relation(empty_set) = 0
% 181.74/111.41  | (66)  ! [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)))
% 181.74/111.41  | (67)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (being_limit_ordinal(v2) = v1) |  ~ (being_limit_ordinal(v2) = v0))
% 181.74/111.41  | (68)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (subset(v0, v1) = v2) |  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0))
% 181.74/111.41  | (69)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | union(v1) = v0)
% 181.74/111.41  | (70)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (subset_complement(v0, v3) = v4) |  ~ (subset(v1, v4) = v5) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v2) = 0) |  ? [v6] :  ? [v7] : (disjoint(v1, v3) = v7 & element(v3, v2) = v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 = 0)))))
% 181.74/111.41  | (71)  ~ (all_0_54_54 = 0)
% 181.74/111.41  | (72)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_well_founded_in(v3, v2) = v1) |  ~ (is_well_founded_in(v3, v2) = v0))
% 181.74/111.41  | (73)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (unordered_pair(v3, v2) = v1) |  ~ (unordered_pair(v3, v2) = v0))
% 181.74/111.41  | (74)  ! [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)))))))))
% 181.74/111.41  | (75)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (set_meet(v2) = v1) |  ~ (set_meet(v2) = v0))
% 181.74/111.41  | (76)  ! [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)))
% 181.74/111.41  | (77)  ! [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)))
% 181.74/111.41  | (78)  ! [v0] :  ~ (in(v0, empty_set) = 0)
% 181.74/111.41  | (79)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ordinal_subset(v3, v2) = v1) |  ~ (ordinal_subset(v3, v2) = v0))
% 181.74/111.41  | (80)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v1, v3) = v4))
% 181.74/111.41  | (81)  ! [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))))
% 181.74/111.41  | (82)  ! [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))))
% 181.74/111.41  | (83)  ? [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))))
% 181.74/111.41  | (84) relation(all_0_10_10) = 0
% 181.74/111.41  | (85)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] : (complements_of_subsets(v2, v1) = v6 & one_sorted_str(v0) = v5 & ( ~ (v5 = 0) |  ! [v7] :  ! [v8] : ( ~ (cartesian_product2(v6, v7) = v8) |  ? [v9] : ( ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = 0 |  ~ (ordered_pair(v12, v13) = v10) |  ~ (in(v10, v9) = v11) |  ~ (in(v10, v8) = 0) |  ? [v14] :  ? [v15] :  ? [v16] : ((v15 = 0 & v14 = v12 &  ~ (v16 = v13) & subset_complement(v2, v12) = v16 & element(v12, v3) = 0) | ( ~ (v14 = 0) & in(v12, v6) = v14))) &  ! [v10] : ( ~ (in(v10, v9) = 0) |  ? [v11] :  ? [v12] : (ordered_pair(v11, v12) = v10 & in(v11, v6) = 0 & in(v10, v8) = 0 & ( ~ (element(v11, v3) = 0) | subset_complement(v2, v11) = v12))))))))
% 181.74/111.41  | (86)  ! [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))))
% 181.74/111.41  | (87)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (ordinal(v1) = 0) |  ~ (ordinal(v0) = 0) |  ? [v2] :  ? [v3] : (in(v1, v0) = v3 & in(v0, v1) = v2 & (v3 = 0 | v2 = 0)))
% 181.74/111.41  | (88)  ! [v0] :  ! [v1] : ( ~ (epsilon_connected(v0) = v1) |  ? [v2] :  ? [v3] : (epsilon_transitive(v0) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0))))
% 181.74/111.41  | (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)))))
% 181.74/111.41  | (90)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] : (finite(v2) = v4 & finite(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 181.74/111.41  | (91) finite(all_0_9_9) = 0
% 181.74/111.41  | (92)  ! [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))
% 181.74/111.41  | (93)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_topology(v2) = v1) |  ~ (the_topology(v2) = v0))
% 181.74/111.41  | (94) in(empty_set, omega) = 0
% 181.74/111.41  | (95)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] : (v1_membered(v2) = v4 & v1_membered(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 181.74/111.41  | (96)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (compact_top_space(v2) = v1) |  ~ (compact_top_space(v2) = v0))
% 181.74/111.42  | (97)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) |  ? [v2] :  ? [v3] : (well_founded_relation(v1) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 181.74/111.42  | (98) ordinal(all_0_13_13) = 0
% 181.74/111.42  | (99)  ! [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)))))
% 181.74/111.42  | (100)  ! [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)))
% 181.74/111.42  | (101)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 181.74/111.42  | (102)  ! [v0] :  ! [v1] : ( ~ (well_orders(v1, v0) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (relation_restriction(v1, v0) = v3 & well_ordering(v3) = v5 & relation_field(v3) = v4 & relation(v1) = v2 & ( ~ (v2 = 0) | (v5 = 0 & v4 = v0))))
% 181.74/111.42  | (103) v3_membered(all_0_12_12) = 0
% 181.74/111.42  | (104)  ? [v0] :  ? [v1] :  ? [v2] : (relation_of2(v2, v0, v1) = 0 & relation(v2) = 0 & function(v2) = 0)
% 181.74/111.42  | (105)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (disjoint(v3, v2) = v1) |  ~ (disjoint(v3, v2) = v0))
% 181.74/111.42  | (106) empty(empty_set) = 0
% 181.74/111.42  | (107)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_InternalRel(v0) = v1) |  ~ (is_transitive_in(v1, v2) = v3) |  ~ (the_carrier(v0) = v2) |  ? [v4] :  ? [v5] : (rel_str(v0) = v4 & transitive_relstr(v0) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v3 = 0) & ( ~ (v3 = 0) | v5 = 0)))))
% 181.74/111.42  | (108)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (closed_subset(v3, v2) = v1) |  ~ (closed_subset(v3, v2) = v0))
% 181.74/111.42  | (109)  ! [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))))
% 181.74/111.42  | (110)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (union_of_subsets(v3, v2) = v1) |  ~ (union_of_subsets(v3, v2) = v0))
% 181.74/111.42  | (111)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 181.74/111.42  | (112)  ! [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))))
% 181.74/111.42  | (113)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (topstr_closure(v3, v2) = v1) |  ~ (topstr_closure(v3, v2) = v0))
% 181.74/111.42  | (114)  ! [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)))
% 181.74/111.42  | (115)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v1) |  ~ (set_union2(v0, v1) = v2) | succ(v0) = v2)
% 181.74/111.42  | (116)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_composition(v3, v2) = v1) |  ~ (relation_composition(v3, v2) = v0))
% 181.74/111.42  | (117)  ! [v0] : ( ~ (antisymmetric_relstr(v0) = 0) |  ? [v1] :  ? [v2] : (rel_str(v0) = v1 & the_carrier(v0) = v2 & ( ~ (v1 = 0) |  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (element(v4, v2) = 0) |  ~ (element(v3, v2) = 0) |  ? [v5] :  ? [v6] : (related(v0, v4, v3) = v6 & related(v0, v3, v4) = v5 & ( ~ (v6 = 0) |  ~ (v5 = 0)))))))
% 181.74/111.42  | (118)  ! [v0] : ( ~ (v3_membered(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) | (v3_membered(v2) = 0 & v2_membered(v2) = 0 & v1_membered(v2) = 0))))
% 181.74/111.42  | (119)  ! [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)))
% 181.74/111.42  | (120)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (join(v0, v1, v2) = v4) |  ~ (the_carrier(v0) = v3) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (empty_carrier(v0) = v6 & join_semilatt_str(v0) = v7 & element(v2, v3) = v9 & element(v1, v3) = v8 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v6 = 0)))
% 181.74/111.42  | (121)  ! [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))))
% 181.74/111.42  | (122) function(all_0_24_24) = 0
% 181.74/111.42  | (123)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v3 = v2 |  ~ (ordered_pair(v1, v3) = v5) |  ~ (ordered_pair(v1, v2) = v4) |  ~ (function(v0) = 0) |  ~ (in(v5, v0) = 0) |  ~ (in(v4, v0) = 0))
% 181.74/111.42  | (124)  ! [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)))
% 181.74/111.42  | (125)  ! [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))))
% 181.74/111.42  | (126)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_intersection2(v0, v0) = v1))
% 181.74/111.42  | (127) one_to_one(all_0_19_19) = 0
% 181.74/111.42  | (128)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_union2(v3, v2) = v1) |  ~ (set_union2(v3, v2) = v0))
% 181.74/111.42  | (129)  ! [v0] : ( ~ (join_semilatt_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v2 & empty_carrier(v0) = v1 & (v1 = 0 |  ! [v3] :  ! [v4] : ( ~ (element(v4, v2) = 0) |  ~ (element(v3, v2) = 0) |  ? [v5] :  ? [v6] : (below(v0, v3, v4) = v5 & join(v0, v3, v4) = v6 & ( ~ (v6 = v4) | v5 = 0) & ( ~ (v5 = 0) | v6 = v4))))))
% 181.74/111.42  | (130)  ! [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))
% 181.74/111.42  | (131)  ? [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)))))
% 181.74/111.42  | (132)  ! [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)))))
% 181.74/111.42  | (133)  ! [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))))
% 181.74/111.42  | (134)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = 0 |  ~ (cartesian_product2(v0, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (empty(v0) = v2) |  ? [v5] : ( ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v7 = 0 |  ~ (ordered_pair(v8, v9) = v6) |  ~ (in(v9, v8) = 0) |  ~ (in(v6, v5) = v7) |  ~ (in(v6, v4) = 0) |  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v11 = 0 &  ~ (v13 = 0) & ordered_pair(v9, v10) = v12 & in(v12, v1) = v13 & in(v10, v8) = 0) | ( ~ (v10 = 0) & in(v8, v0) = v10))) &  ! [v6] : ( ~ (in(v6, v5) = 0) |  ? [v7] :  ? [v8] : (ordered_pair(v7, v8) = v6 & in(v8, v7) = 0 & in(v7, v0) = 0 & in(v6, v4) = 0 &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 |  ~ (ordered_pair(v8, v9) = v10) |  ~ (in(v10, v1) = v11) |  ? [v12] : ( ~ (v12 = 0) & in(v9, v7) = v12))))))
% 181.74/111.42  | (135)  ! [v0] : (v0 = empty_set |  ~ (empty(v0) = 0))
% 181.74/111.42  | (136)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subset_complement(v2, v1) = v3) |  ~ (open_subset(v3, v0) = v4) |  ~ (the_carrier(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (closed_subset(v1, v0) = v7 & topological_space(v0) = v5 & top_str(v0) = v6 & powerset(v2) = v8 & element(v1, v8) = v9 & ( ~ (v9 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0))))
% 181.74/111.42  | (137)  ! [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))))
% 181.74/111.43  | (138)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset(v2, v3) = 0) |  ~ (cartesian_product2(v0, v1) = v3) | relation_of2(v2, v0, v1) = 0)
% 181.74/111.43  | (139)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (finite(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2))
% 181.74/111.43  | (140)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ (subset(v2, v1) = 0) | in(v0, v1) = 0)
% 181.74/111.43  | (141)  ? [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)))
% 181.74/111.43  | (142)  ! [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)))
% 181.74/111.43  | (143)  ! [v0] :  ! [v1] : ( ~ (equipotent(v0, v1) = 0) |  ? [v2] : (relation_rng(v2) = v1 & relation_dom(v2) = v0 & one_to_one(v2) = 0 & relation(v2) = 0 & function(v2) = 0))
% 181.74/111.43  | (144)  ! [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))))
% 181.74/111.43  | (145)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (join(v4, v3, v2) = v1) |  ~ (join(v4, v3, v2) = v0))
% 181.74/111.43  | (146)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v1, v0) = v2) |  ? [v3] :  ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0)))
% 181.74/111.43  | (147)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (cast_to_subset(v0) = v1) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v2) = v3))
% 181.74/111.43  | (148)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (cast_to_subset(v0) = v1))
% 181.74/111.43  | (149)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (relation_of2(v2, v0, v1) = v4 & relation_rng(v2) = v5 & ( ~ (v4 = 0) | v5 = v3)))
% 181.74/111.43  | (150)  ! [v0] : ( ~ (meet_absorbing(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (latt_str(v0) = v3 & meet_commutative(v0) = v2 & the_carrier(v0) = v4 & empty_carrier(v0) = v1 & ( ~ (v3 = 0) |  ~ (v2 = 0) | v1 = 0 |  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (below(v0, v7, v5) = v8) |  ~ (meet_commut(v0, v5, v6) = v7) |  ~ (element(v5, v4) = 0) |  ? [v9] : ( ~ (v9 = 0) & element(v6, v4) = v9)))))
% 181.74/111.43  | (151)  ! [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))))
% 181.74/111.43  | (152)  ? [v0] : (v0 = empty_set |  ? [v1] : in(v1, v0) = 0)
% 181.74/111.43  | (153) v5_membered(all_0_12_12) = 0
% 181.74/111.43  | (154) powerset(all_0_53_53) = all_0_52_52
% 181.74/111.43  | (155)  ! [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))))
% 181.74/111.43  | (156)  ! [v0] : ( ~ (in(v0, omega) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (ordinal(v0) = v1 & powerset(v2) = v3 & powerset(v0) = v2 & ( ~ (v1 = 0) |  ! [v4] : (v4 = empty_set |  ~ (element(v4, v3) = 0) |  ? [v5] : (in(v5, v4) = 0 &  ! [v6] : (v6 = v5 |  ~ (subset(v5, v6) = 0) |  ? [v7] : ( ~ (v7 = 0) & in(v6, v4) = v7))))))) | (all_0_31_31 = 0 & all_0_35_35 = 0 & all_0_40_40 = 0 &  ~ (all_0_32_32 = empty_set) & succ(all_0_41_41) = all_0_36_36 & ordinal(all_0_41_41) = 0 & powerset(all_0_34_34) = all_0_33_33 & powerset(all_0_36_36) = all_0_34_34 & powerset(all_0_38_38) = all_0_37_37 & powerset(all_0_41_41) = all_0_38_38 & element(all_0_32_32, all_0_33_33) = 0 & in(all_0_36_36, omega) = 0 & in(all_0_41_41, omega) = all_0_39_39 &  ! [v0] : ( ~ (in(v0, all_0_32_32) = 0) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_32_32) = 0)) & ( ~ (all_0_39_39 = 0) |  ! [v0] : (v0 = empty_set |  ~ (element(v0, all_0_37_37) = 0) |  ? [v1] : (in(v1, v0) = 0 &  ! [v2] : (v2 = v1 |  ~ (subset(v1, v2) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v2, v0) = v3)))))) | (all_0_34_34 = 0 & all_0_38_38 = 0 & all_0_39_39 = 0 & all_0_40_40 = 0 &  ~ (all_0_35_35 = empty_set) &  ~ (all_0_41_41 = empty_set) & being_limit_ordinal(all_0_41_41) = 0 & ordinal(all_0_41_41) = 0 & powerset(all_0_37_37) = all_0_36_36 & powerset(all_0_41_41) = all_0_37_37 & element(all_0_35_35, all_0_36_36) = 0 & in(all_0_41_41, omega) = 0 &  ! [v0] : ( ~ (in(v0, all_0_35_35) = 0) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_35_35) = 0)) &  ! [v0] : ( ~ (in(v0, omega) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (ordinal(v0) = v1 & powerset(v3) = v4 & powerset(v0) = v3 & in(v0, all_0_41_41) = v2 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ! [v5] : (v5 = empty_set |  ~ (element(v5, v4) = 0) |  ? [v6] : (in(v6, v5) = 0 &  ! [v7] : (v7 = v6 |  ~ (subset(v6, v7) = 0) |  ? [v8] : ( ~ (v8 = 0) & in(v7, v5) = v8)))))))) | (all_0_40_40 = 0 &  ~ (all_0_41_41 = empty_set) & element(all_0_41_41, all_0_56_56) = 0 &  ! [v0] : ( ~ (in(v0, all_0_41_41) = 0) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_41_41) = 0)))
% 181.74/111.43  | (157)  ! [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)))
% 181.74/111.43  | (158)  ! [v0] :  ~ (singleton(v0) = empty_set)
% 181.74/111.43  | (159)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v0 = empty_set |  ~ (singleton(v1) = v2) |  ~ (subset(v0, v2) = 0))
% 181.74/111.43  | (160)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (subset(v0, v0) = v1))
% 181.74/111.43  | (161)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ordered_pair(v3, v2) = v1) |  ~ (ordered_pair(v3, v2) = v0))
% 181.74/111.43  | (162)  ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0)
% 181.74/111.43  | (163)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (empty(v2) = 0 & element(v2, v1) = 0))
% 181.74/111.43  | (164)  ! [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)))))))
% 181.74/111.43  | (165)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (subset(empty_set, v0) = v1))
% 181.74/111.43  | (166) ordinal(empty_set) = 0
% 181.74/111.43  | (167)  ! [v0] : ( ~ (in(empty_set, v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (being_limit_ordinal(v0) = v2 & subset(omega, v0) = v3 & ordinal(v0) = v1 & ( ~ (v2 = 0) |  ~ (v1 = 0) | v3 = 0)))
% 181.74/111.43  | (168)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_dom(v2) = v1) |  ~ (relation_dom(v2) = v0))
% 181.74/111.43  | (169)  ! [v0] : ( ~ (v4_membered(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) | (v4_membered(v2) = 0 & v3_membered(v2) = 0 & v2_membered(v2) = 0 & v1_membered(v2) = 0))))
% 181.74/111.43  | (170)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v0) = v3) |  ~ (relation(v1) = 0) |  ~ (function(v2) = 0) |  ? [v4] : (( ~ (v4 = 0) & relation(v2) = v4) | ( ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (apply(v2, v7) = v9) |  ~ (apply(v2, v6) = v8) |  ~ (ordered_pair(v8, v9) = v10) |  ~ (in(v10, v1) = 0) |  ~ (in(v5, v3) = 0) |  ? [v11] : ((v11 = 0 & in(v5, v4) = 0) | ( ~ (v11 = v5) & ordered_pair(v6, v7) = v11))) &  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (in(v5, v3) = v6) |  ? [v7] : ( ~ (v7 = 0) & in(v5, v4) = v7)) &  ! [v5] :  ! [v6] : ( ~ (in(v5, v3) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v13 = 0 & v9 = v5 & apply(v2, v8) = v11 & apply(v2, v7) = v10 & ordered_pair(v10, v11) = v12 & ordered_pair(v7, v8) = v5 & in(v12, v1) = 0) | ( ~ (v7 = 0) & in(v5, v4) = v7))))))
% 181.74/111.43  | (171)  ! [v0] :  ! [v1] : ( ~ (being_limit_ordinal(v0) = 0) |  ~ (succ(v1) = v0) |  ? [v2] : (( ~ (v2 = 0) & ordinal(v1) = v2) | ( ~ (v2 = 0) & ordinal(v0) = v2)))
% 181.74/111.43  | (172)  ? [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))))
% 181.74/111.43  | (173)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (meet_semilatt_str(v2) = v1) |  ~ (meet_semilatt_str(v2) = v0))
% 181.74/111.43  | (174)  ! [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)))))
% 181.74/111.43  | (175)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_restriction(v3, v2) = v1) |  ~ (relation_restriction(v3, v2) = v0))
% 181.74/111.43  | (176) empty(all_0_21_21) = all_0_20_20
% 181.74/111.43  | (177) empty(all_0_18_18) = 0
% 181.74/111.43  | (178)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_isomorphism(v4, v3, v2) = v1) |  ~ (relation_isomorphism(v4, v3, v2) = v0))
% 181.74/111.44  | (179)  ! [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)))))))))
% 181.74/111.44  | (180)  ! [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] : (fiber(v0, v7) = v8 & disjoint(v8, v6) = 0 & in(v7, v6) = 0))) & (v1 = 0 | (v5 = 0 &  ~ (v4 = empty_set) & subset(v4, v3) = 0 &  ! [v6] :  ! [v7] : ( ~ (fiber(v0, v6) = v7) |  ~ (disjoint(v7, v4) = 0) |  ? [v8] : ( ~ (v8 = 0) & in(v6, v4) = v8))))))))
% 181.74/111.44  | (181)  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] :  ! [v6] : (v6 = v5 |  ~ (subset_intersection2(v3, v5, v1) = v6) |  ? [v7] : ( ~ (v7 = 0) & element(v5, v4) = v7)))))
% 181.74/111.44  | (182)  ! [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))
% 181.74/111.44  | (183)  ! [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)))
% 181.74/111.44  | (184)  ! [v0] :  ! [v1] : ( ~ (are_equipotent(v0, v1) = 0) | equipotent(v0, v1) = 0)
% 181.74/111.44  | (185) epsilon_connected(omega) = 0
% 181.74/111.44  | (186)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_carrier(v2) = v1) |  ~ (the_carrier(v2) = v0))
% 181.74/111.44  | (187)  ! [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)))
% 181.74/111.44  | (188)  ? [v0] :  ? [v1] :  ? [v2] : relation_of2_as_subset(v2, v0, v1) = 0
% 181.74/111.44  | (189)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (epsilon_transitive(v2) = v1) |  ~ (epsilon_transitive(v2) = v0))
% 181.74/111.44  | (190)  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (closed_subset(v4, v0) = v5) |  ~ (subset_complement(v1, v3) = v4) |  ? [v6] :  ? [v7] : (open_subset(v3, v0) = v7 & element(v3, v2) = v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 = 0)))))))
% 181.74/111.44  | (191)  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v3) = v4 & powerset(v2) = v3 & ( ~ (v1 = 0) |  ! [v5] : ( ~ (element(v5, v4) = 0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v8 = 0 & v7 = 0 &  ~ (v9 = 0) & closed_subset(v6, v0) = v9 & element(v6, v3) = 0 & in(v6, v5) = 0) | (v7 = 0 & meet_of_subsets(v2, v5) = v6 & closed_subset(v6, v0) = 0))))))
% 181.74/111.44  | (192)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (set_difference(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 181.74/111.44  | (193) topological_space(all_0_55_55) = 0
% 181.74/111.44  | (194)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (v1_membered(v0) = 0) |  ~ (v1_xcmplx_0(v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & element(v1, v0) = v3))
% 181.74/111.44  | (195)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (join_semilatt_str(v2) = v1) |  ~ (join_semilatt_str(v2) = v0))
% 181.74/111.44  | (196)  ~ (all_0_6_6 = 0)
% 181.74/111.44  | (197)  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v3 & empty_carrier(v0) = v2 & empty(v1) = v4 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v2 = 0)))
% 181.74/111.44  | (198)  ! [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)))
% 181.74/111.44  | (199)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) | subset_intersection2(v0, v1, v1) = v1)
% 181.74/111.44  | (200)  ! [v0] :  ~ (proper_subset(v0, v0) = 0)
% 181.74/111.44  | (201) v1_membered(all_0_12_12) = 0
% 181.74/111.44  | (202)  ! [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))
% 181.74/111.44  | (203)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (union(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & being_limit_ordinal(v0) = v2))
% 181.74/111.44  | (204)  ? [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)))))
% 181.74/111.44  | (205)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (open_subset(v3, v2) = v1) |  ~ (open_subset(v3, v2) = v0))
% 181.74/111.44  | (206)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (meet_absorbing(v2) = v1) |  ~ (meet_absorbing(v2) = v0))
% 181.74/111.44  | (207)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v1 = v0 |  ~ (apply_binary_as_element(v7, v6, v5, v4, v3, v2) = v1) |  ~ (apply_binary_as_element(v7, v6, v5, v4, v3, v2) = v0))
% 181.74/111.44  | (208)  ! [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))
% 181.74/111.44  | (209)  ! [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)))
% 181.74/111.44  | (210)  ! [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))))))
% 181.74/111.44  | (211)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (cast_as_carrier_subset(v0) = v7 & topological_space(v0) = v5 & top_str(v0) = v6 & ( ~ (v6 = 0) |  ~ (v5 = 0) | ( ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_difference(v7, v9) = v10) |  ~ (in(v10, v1) = v11) |  ? [v12] :  ? [v13] : ((v13 = 0 & v12 = v9 & v11 = 0 & in(v9, v3) = 0) | ( ~ (v12 = 0) & in(v9, v8) = v12))) &  ! [v9] :  ! [v10] : ( ~ (set_difference(v7, v9) = v10) |  ~ (in(v10, v1) = 0) |  ~ (in(v9, v3) = 0) | in(v9, v8) = 0)))))
% 181.74/111.44  | (212)  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_intersection2(v0, v1) = empty_set)
% 181.74/111.44  | (213)  ! [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))
% 181.74/111.44  | (214)  ! [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))))
% 181.74/111.44  | (215)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ((v5 = v0 & v4 = 0 & v3 = 0 & relation_dom(v2) = v0 & relation(v2) = 0 & function(v2) = 0 &  ! [v6] :  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (apply(v2, v6) = v7) |  ~ (in(v7, v6) = v8) |  ? [v9] : ( ~ (v9 = 0) & in(v6, v0) = v9))) | (v3 = 0 & v2 = empty_set & in(empty_set, v0) = 0)))
% 181.74/111.44  | (216)  ! [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)))
% 181.74/111.44  | (217)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v2, v0) = v3) |  ~ (powerset(v0) = v1) |  ? [v4] : ( ~ (v4 = 0) & in(v2, v1) = v4))
% 181.74/111.44  | (218)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (empty(v1) = v2) |  ~ (empty(v0) = 0) |  ? [v3] : (element(v1, v0) = v3 & ( ~ (v3 = 0) | v2 = 0) & ( ~ (v2 = 0) | v3 = 0)))
% 181.74/111.45  | (219)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | antisymmetric(v1) = 0)
% 181.74/111.45  | (220)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_L_join(v0) = v1) |  ~ (quasi_total(v1, v3, v2) = v4) |  ~ (the_carrier(v0) = v2) |  ~ (cartesian_product2(v2, v2) = v3) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_of2_as_subset(v1, v3, v2) = v7 & join_semilatt_str(v0) = v5 & function(v1) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0 & v4 = 0))))
% 181.74/111.45  | (221) being_limit_ordinal(omega) = 0
% 181.74/111.45  | (222)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] : (complements_of_subsets(v0, v1) = v4 & ( ~ (v4 = empty_set) | v1 = empty_set) & ( ~ (v1 = empty_set) | v4 = empty_set)))
% 181.74/111.45  | (223)  ! [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))
% 181.74/111.45  | (224)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = 0 &  ~ (v7 = v6) & in(v5, v1) = 0 & ( ~ (element(v5, v3) = 0) | subset_complement(v2, v5) = v7) & ( ~ (element(v5, v3) = 0) | subset_complement(v2, v5) = v6)) | ( ~ (v5 = 0) & one_sorted_str(v0) = v5) | ( ! [v9] :  ! [v10] :  ! [v11] : (v10 = 0 |  ~ (in(v11, v1) = 0) |  ~ (in(v9, v5) = v10) |  ? [v12] : ( ~ (v12 = v9) & subset_complement(v2, v11) = v12 & element(v11, v3) = 0)) &  ! [v9] : ( ~ (in(v9, v5) = 0) |  ? [v10] : (in(v10, v1) = 0 & ( ~ (element(v10, v3) = 0) | subset_complement(v2, v10) = v9))))))
% 181.74/111.45  | (225)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 181.74/111.45  | (226) relation_rng(empty_set) = empty_set
% 181.74/111.45  | (227)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (empty(v2) = v1) |  ~ (empty(v2) = v0))
% 181.74/111.45  | (228)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | pair_first(v2) = v0)
% 181.74/111.45  | (229)  ~ (centered(empty_set) = 0)
% 181.74/111.45  | (230)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (one_sorted_str(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & top_str(v0) = v2))
% 181.74/111.45  | (231)  ! [v0] :  ! [v1] : ( ~ (v5_membered(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (empty(v0) = v2 & v4_membered(v0) = v6 & v3_membered(v0) = v5 & v2_membered(v0) = v4 & v1_membered(v0) = v3 & ( ~ (v2 = 0) | (v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0 & v1 = 0))))
% 181.74/111.45  | (232)  ! [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))
% 181.74/111.45  | (233) ordinal(all_0_7_7) = 0
% 181.74/111.45  | (234)  ! [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))
% 181.74/111.45  | (235)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (the_InternalRel(v0) = v1) |  ~ (relation_of2_as_subset(v1, v2, v2) = v3) |  ~ (the_carrier(v0) = v2) |  ? [v4] : ( ~ (v4 = 0) & rel_str(v0) = v4))
% 181.74/111.45  | (236)  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v2) = v3 & ( ~ (v1 = 0) |  ! [v4] : ( ~ (top_str(v4) = 0) |  ? [v5] :  ? [v6] : (the_carrier(v4) = v5 & powerset(v5) = v6 &  ! [v7] : ( ~ (element(v7, v3) = 0) |  ? [v8] :  ? [v9] : (interior(v0, v7) = v8 & open_subset(v7, v0) = v9 &  ! [v10] : ( ~ (v8 = v7) | v9 = 0 |  ~ (element(v10, v6) = 0)) &  ! [v10] : ( ~ (element(v10, v6) = 0) |  ? [v11] :  ? [v12] : (interior(v4, v10) = v12 & open_subset(v10, v4) = v11 & ( ~ (v11 = 0) | v12 = v10))))))))))
% 181.74/111.45  | (237)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = empty_set |  ~ (quasi_total(v3, v0, v2) = v4) |  ~ (quasi_total(v3, v0, v1) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (relation_of2_as_subset(v3, v0, v2) = v8 & relation_of2_as_subset(v3, v0, v1) = v6 & subset(v1, v2) = v7 & function(v3) = v5 & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) | (v8 = 0 & v4 = 0))))
% 181.74/111.45  | (238)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (below(v4, v3, v2) = v1) |  ~ (below(v4, v3, v2) = v0))
% 181.74/111.45  | (239)  ! [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))
% 181.74/111.45  | (240)  ! [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)))
% 181.74/111.45  | (241)  ! [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))))
% 181.74/111.45  | (242)  ! [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))
% 181.74/111.45  | (243)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v0, v3) = v4))
% 181.74/111.45  | (244)  ! [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))
% 181.74/111.45  | (245)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 | v1 = empty_set |  ~ (quasi_total(v3, v0, v1) = 0) |  ~ (relation_rng(v3) = v5) |  ~ (apply(v3, v2) = v4) |  ~ (in(v4, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] : (relation_of2_as_subset(v3, v0, v1) = v8 & function(v3) = v7 & in(v2, v0) = v9 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0))))
% 181.74/111.45  | (246)  ! [v0] : ( ~ (empty(v0) = 0) |  ? [v1] : (relation_dom(v0) = v1 & relation(v1) = 0 & empty(v1) = 0))
% 181.74/111.45  | (247)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 181.74/111.45  | (248)  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v5 |  ~ (subset_difference(v3, v1, v6) = v7) |  ~ (subset_difference(v3, v1, v5) = v6) |  ? [v8] : ( ~ (v8 = 0) & element(v5, v4) = v8)))))
% 181.74/111.45  | (249)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (epsilon_connected(v2) = v1) |  ~ (epsilon_connected(v2) = v0))
% 181.74/111.45  | (250)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v0, v2) = v3) |  ~ (subset(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & subset(v1, v2) = v4))
% 181.74/111.45  | (251)  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (the_carrier(v0) = v1 & powerset(v2) = v3 & powerset(v1) = v2 &  ! [v4] : ( ~ (element(v4, v3) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (closed_subsets(v4, v0) = v5 & ( ~ (v5 = 0) |  ! [v10] : ( ~ (element(v10, v2) = 0) |  ? [v11] :  ? [v12] : (closed_subset(v10, v0) = v12 & in(v10, v4) = v11 & ( ~ (v11 = 0) | v12 = 0)))) & (v5 = 0 | (v8 = 0 & v7 = 0 &  ~ (v9 = 0) & closed_subset(v6, v0) = v9 & element(v6, v2) = 0 & in(v6, v4) = 0))))))
% 181.74/111.45  | (252)  ! [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))))))
% 181.74/111.45  | (253) v4_membered(all_0_12_12) = 0
% 181.74/111.45  | (254)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | reflexive(v1) = 0)
% 181.74/111.45  | (255)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v2 = v1 |  ~ (pair_first(v0) = v1) |  ~ (ordered_pair(v4, v5) = v0) |  ~ (ordered_pair(v2, v3) = v0))
% 181.74/111.45  | (256)  ! [v0] :  ! [v1] : ( ~ (is_well_founded_in(v0, v1) = 0) |  ~ (relation(v0) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (well_orders(v0, v1) = v6 & is_reflexive_in(v0, v1) = v2 & is_transitive_in(v0, v1) = v3 & is_connected_in(v0, v1) = v5 & is_antisymmetric_in(v0, v1) = v4 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | v6 = 0)))
% 181.74/111.46  | (257)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v3 = v1 |  ~ (pair_second(v0) = v1) |  ~ (ordered_pair(v4, v5) = v0) |  ~ (ordered_pair(v2, v3) = v0))
% 181.74/111.46  | (258)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_a_cover_of_carrier(v3, v2) = v1) |  ~ (is_a_cover_of_carrier(v3, v2) = v0))
% 181.74/111.46  | (259)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & empty(v3) = v4 & ( ~ (v4 = 0) |  ~ (v2 = 0))))
% 181.74/111.46  | (260)  ! [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))
% 181.74/111.46  | (261)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (the_topology(v0) = v1) |  ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & top_str(v0) = v6))
% 181.74/111.46  | (262)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v0, v1) = v3) |  ~ (powerset(v3) = v4) |  ~ (element(v2, v4) = 0) | relation(v2) = 0)
% 181.74/111.46  | (263) ordinal(all_0_19_19) = 0
% 181.74/111.46  | (264)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v2_membered(v2) = v1) |  ~ (v2_membered(v2) = v0))
% 181.74/111.46  | (265)  ! [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))
% 181.74/111.46  | (266)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ? [v3] :  ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0)))
% 181.74/111.46  | (267)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (relation(v1) = 0) |  ~ (empty(v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = 0 & v9 = v3 & v8 = 0 & v7 = v3 & v6 = 0 &  ~ (v5 = v4) & in(v5, v3) = 0 & in(v4, v3) = 0 & in(v3, v0) = 0 &  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (ordered_pair(v5, v11) = v12) |  ~ (in(v12, v1) = v13) |  ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14)) &  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (ordered_pair(v4, v11) = v12) |  ~ (in(v12, v1) = v13) |  ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14))) | (v5 = 0 & v4 = 0 & relation(v3) = 0 & function(v3) = 0 &  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = 0 |  ~ (ordered_pair(v11, v12) = v13) |  ~ (in(v13, v3) = v14) |  ~ (in(v12, v11) = 0) |  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : ((v16 = 0 &  ~ (v18 = 0) & ordered_pair(v12, v15) = v17 & in(v17, v1) = v18 & in(v15, v11) = 0) | ( ~ (v15 = 0) & in(v11, v0) = v15))) &  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (ordered_pair(v11, v12) = v13) |  ~ (in(v13, v3) = 0) | in(v11, v0) = 0) &  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (ordered_pair(v11, v12) = v13) |  ~ (in(v13, v3) = 0) | (in(v12, v11) = 0 &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (ordered_pair(v12, v14) = v15) |  ~ (in(v15, v1) = v16) |  ? [v17] : ( ~ (v17 = 0) & in(v14, v11) = v17)))))))
% 181.74/111.46  | (268) function(all_0_18_18) = 0
% 181.74/111.46  | (269)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ (disjoint(v2, v1) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 181.74/111.46  | (270)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (v3_membered(v2) = v6 & v3_membered(v0) = v3 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v6 = 0 & v5 = 0 & v4 = 0))))
% 181.74/111.46  | (271)  ! [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))))
% 181.74/111.46  | (272)  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_difference(v0, v1) = v0)
% 181.74/111.46  | (273)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (empty_carrier_subset(v0) = v1) |  ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & one_sorted_str(v0) = v5))
% 181.74/111.46  | (274)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_intersection2(v3, v2) = v1) |  ~ (set_intersection2(v3, v2) = v0))
% 181.74/111.46  | (275)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : (meet_of_subsets(v0, v1) = v6 & complements_of_subsets(v0, v1) = v4 & subset_complement(v0, v6) = v5 & union_of_subsets(v0, v4) = v5))
% 181.74/111.46  | (276) epsilon_transitive(all_0_19_19) = 0
% 181.74/111.46  | (277)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (rel_str(v2) = v1) |  ~ (rel_str(v2) = v0))
% 181.74/111.46  | (278)  ! [v0] : ( ~ (natural(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (succ(v0) = v2 & epsilon_connected(v2) = v5 & epsilon_transitive(v2) = v4 & ordinal(v2) = v6 & ordinal(v0) = v1 & empty(v2) = v3 & natural(v2) = v7 & ( ~ (v1 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 &  ~ (v3 = 0)))))
% 181.74/111.46  | (279)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0))))
% 181.74/111.46  | (280)  ! [v0] : ( ~ (v3_membered(v0) = 0) | v2_membered(v0) = 0)
% 181.74/111.46  | (281) v3_membered(empty_set) = 0
% 181.74/111.46  | (282)  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (the_carrier(v0) = v1 & powerset(v2) = v3 & powerset(v1) = v2 &  ! [v4] : ( ~ (element(v4, v3) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (complements_of_subsets(v1, v4) = v6 & closed_subsets(v4, v0) = v5 & open_subsets(v6, v0) = v7 & ( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 = 0)))))
% 181.74/111.46  | (283)  ? [v0] :  ? [v1] : ( ! [v2] :  ! [v3] : ( ~ (ordinal(v2) = v3) |  ? [v4] :  ? [v5] : (in(v2, v1) = v4 & in(v2, v0) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0)))) &  ! [v2] : ( ~ (ordinal(v2) = 0) |  ? [v3] :  ? [v4] : (in(v2, v1) = v4 & in(v2, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))))
% 181.74/111.46  | (284)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) |  ? [v3] : ( ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v5 = 0 |  ~ (ordered_pair(v6, v7) = v4) |  ~ (in(v4, v3) = v5) |  ~ (in(v4, v2) = 0) |  ? [v8] :  ? [v9] : (singleton(v6) = v9 & in(v6, v0) = v8 & ( ~ (v9 = v7) |  ~ (v8 = 0)))) &  ! [v4] : ( ~ (in(v4, v3) = 0) |  ? [v5] :  ? [v6] : (singleton(v5) = v6 & ordered_pair(v5, v6) = v4 & in(v5, v0) = 0 & in(v4, v2) = 0))))
% 181.74/111.46  | (285)  ! [v0] : ( ~ (join_commutative(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (the_carrier(v0) = v3 & empty_carrier(v0) = v1 & join_semilatt_str(v0) = v2 & ( ~ (v2 = 0) | v1 = 0 |  ! [v4] :  ! [v5] : (v5 = v4 |  ~ (element(v5, v3) = 0) |  ~ (element(v4, v3) = 0) |  ? [v6] :  ? [v7] : (below(v0, v5, v4) = v7 & below(v0, v4, v5) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0)))))))
% 181.74/111.46  | (286)  ! [v0] :  ! [v1] : ( ~ (proper_subset(v1, v0) = 0) |  ? [v2] : ( ~ (v2 = 0) & subset(v0, v1) = v2))
% 181.74/111.46  | (287)  ! [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))))
% 181.74/111.46  | (288)  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v4) = v5 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v6] : ( ~ (element(v6, v5) = 0) |  ? [v7] :  ? [v8] : (is_a_cover_of_carrier(v0, v6) = v7 & union_of_subsets(v3, v6) = v8 & ( ~ (v8 = v1) | v7 = 0) & ( ~ (v7 = 0) | v8 = v1))))))
% 181.74/111.46  | (289)  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v2) = v3 & ( ~ (v1 = 0) | (v6 = 0 & v5 = 0 & closed_subset(v4, v0) = 0 & element(v4, v3) = 0))))
% 181.74/111.46  | (290)  ! [v0] :  ! [v1] : ( ~ (the_InternalRel(v0) = v1) |  ? [v2] :  ? [v3] : (rel_str(v0) = v2 & the_carrier(v0) = v3 & ( ~ (v2 = 0) |  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v4, v5) = v6) |  ~ (element(v4, v3) = 0) |  ~ (in(v6, v1) = v7) |  ? [v8] :  ? [v9] : (related(v0, v4, v5) = v9 & element(v5, v3) = v8 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | v7 = 0) & ( ~ (v7 = 0) | v9 = 0))))))))
% 181.74/111.46  | (291)  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] : (interior(v0, v3) = v4 & subset(v4, v3) = 0))))
% 181.74/111.47  | (292)  ? [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)))))
% 181.74/111.47  | (293)  ! [v0] :  ! [v1] : ( ~ (empty_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & empty(v3) = v4 & ( ~ (v2 = 0) | (( ~ (v4 = 0) | v1 = 0) & ( ~ (v1 = 0) | v4 = 0)))))
% 181.74/111.47  | (294)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (one_to_one(v2) = v1) |  ~ (one_to_one(v2) = v0))
% 181.74/111.47  | (295)  ! [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)
% 181.74/111.47  | (296)  ! [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))))
% 181.74/111.47  | (297)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (antisymmetric(v2) = v1) |  ~ (antisymmetric(v2) = v0))
% 181.74/111.47  | (298)  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v2) = v3 & ( ~ (v1 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & closed_subset(v4, v0) = 0 & open_subset(v4, v0) = 0 & element(v4, v3) = 0))))
% 181.74/111.47  | (299)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3))
% 181.74/111.47  | (300)  ! [v0] : (v0 = empty_set |  ~ (relation(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (ordered_pair(v1, v2) = v3 & in(v3, v0) = 0))
% 181.74/111.47  | (301)  ! [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))
% 181.74/111.47  | (302)  ! [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)))
% 181.74/111.47  | (303) element(all_0_50_50, all_0_53_53) = 0
% 181.74/111.47  | (304)  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (the_carrier(v0) = v1 & powerset(v2) = v3 & powerset(v1) = v2 &  ! [v4] : ( ~ (element(v4, v3) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (complements_of_subsets(v1, v4) = v6 & closed_subsets(v6, v0) = v7 & open_subsets(v4, v0) = v5 & ( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 = 0)))))
% 181.74/111.47  | (305) point_neighbourhood(all_0_51_51, all_0_55_55, all_0_50_50) = all_0_49_49
% 181.74/111.47  | (306)  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (top_str(v0) = v2 & the_carrier(v0) = v3 & empty_carrier(v0) = v1 & powerset(v3) = v4 & ( ~ (v2 = 0) | v1 = 0 |  ! [v5] :  ! [v6] : ( ~ (element(v6, v4) = 0) |  ~ (element(v5, v3) = 0) |  ? [v7] :  ? [v8] :  ? [v9] : (point_neighbourhood(v6, v0, v5) = v7 & interior(v0, v6) = v8 & in(v5, v8) = v9 & ( ~ (v9 = 0) | v7 = 0) & ( ~ (v7 = 0) | v9 = 0))))))
% 181.74/111.47  | (307)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v2) = v0) |  ~ (singleton(v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3))
% 181.74/111.47  | (308)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_empty_yielding(v2) = v1) |  ~ (relation_empty_yielding(v2) = v0))
% 181.74/111.47  | (309) in(all_0_50_50, all_0_51_51) = 0
% 181.74/111.47  | (310)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (meet(v0, v1, v2) = v8 & meet_commutative(v0) = v5 & meet_semilatt_str(v0) = v6 & meet_commut(v0, v1, v2) = v7 & empty_carrier(v0) = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v8 = v7 | v4 = 0)))
% 181.74/111.47  | (311)  ! [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))
% 181.74/111.47  | (312)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (well_founded_relation(v2) = v1) |  ~ (well_founded_relation(v2) = v0))
% 181.74/111.47  | (313)  ! [v0] :  ! [v1] : ( ~ (the_L_meet(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (meet_semilatt_str(v0) = v3 & the_carrier(v0) = v4 & empty_carrier(v0) = v2 & ( ~ (v3 = 0) | v2 = 0 |  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (apply_binary_as_element(v4, v4, v4, v1, v5, v6) = v7) |  ~ (element(v5, v4) = 0) |  ? [v8] :  ? [v9] : (meet(v0, v5, v6) = v9 & element(v6, v4) = v8 & ( ~ (v8 = 0) | v9 = v7))))))
% 181.74/111.47  | (314)  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (top_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (subset_difference(v3, v1, v5) = v6) |  ~ (open_subset(v6, v0) = v7) |  ? [v8] :  ? [v9] : (closed_subset(v5, v0) = v9 & element(v5, v4) = v8 & ( ~ (v8 = 0) | (( ~ (v9 = 0) | v7 = 0) & ( ~ (v7 = 0) | v9 = 0))))))))
% 181.74/111.47  | (315)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_antisymmetric_in(v3, v2) = v1) |  ~ (is_antisymmetric_in(v3, v2) = v0))
% 181.74/111.47  | (316)  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] :  ! [v6] : ( ~ (subset_difference(v3, v1, v5) = v6) |  ? [v7] :  ? [v8] : (subset_complement(v3, v5) = v8 & element(v5, v4) = v7 & ( ~ (v7 = 0) | v8 = v6))))))
% 181.74/111.47  | (317)  ! [v0] : ( ~ (v5_membered(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) | (v5_membered(v2) = 0 & v4_membered(v2) = 0 & v3_membered(v2) = 0 & v2_membered(v2) = 0 & v1_membered(v2) = 0))))
% 181.74/111.47  | (318)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] : (in(v3, v1) = 0 & in(v3, v0) = 0))
% 181.74/111.47  | (319)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (join_commutative(v2) = v1) |  ~ (join_commutative(v2) = v0))
% 181.74/111.47  | (320)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (function_inverse(v2) = v1) |  ~ (function_inverse(v2) = v0))
% 181.74/111.47  | (321)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | cup_closed(v1) = 0)
% 181.74/111.47  | (322)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_L_meet(v0) = v1) |  ~ (quasi_total(v1, v3, v2) = v4) |  ~ (the_carrier(v0) = v2) |  ~ (cartesian_product2(v2, v2) = v3) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_of2_as_subset(v1, v3, v2) = v7 & meet_semilatt_str(v0) = v5 & function(v1) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0 & v4 = 0))))
% 181.74/111.47  | (323)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (natural(v2) = v1) |  ~ (natural(v2) = v0))
% 181.74/111.47  | (324)  ! [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))
% 181.74/111.47  | (325) empty(omega) = all_0_58_58
% 181.74/111.47  | (326)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v0) = v3) |  ~ (relation(v1) = 0) |  ~ (function(v2) = 0) |  ? [v4] : (( ~ (v4 = 0) & relation(v2) = v4) | ( ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v6 = 0 |  ~ (apply(v2, v8) = v10) |  ~ (apply(v2, v7) = v9) |  ~ (ordered_pair(v9, v10) = v11) |  ~ (in(v11, v1) = 0) |  ~ (in(v5, v4) = v6) |  ~ (in(v5, v3) = 0) |  ? [v12] : ( ~ (v12 = v5) & ordered_pair(v7, v8) = v12)) &  ! [v5] : ( ~ (in(v5, v4) = 0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (apply(v2, v7) = v9 & apply(v2, v6) = v8 & ordered_pair(v8, v9) = v10 & ordered_pair(v6, v7) = v5 & in(v10, v1) = 0 & in(v5, v3) = 0)))))
% 181.74/111.47  | (327)  ! [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))
% 181.74/111.47  | (328)  ! [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)))
% 181.74/111.47  | (329)  ! [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))
% 181.74/111.47  | (330)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (are_equipotent(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & equipotent(v0, v1) = v3))
% 181.74/111.47  | (331)  ! [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)))
% 181.74/111.47  | (332) ordinal(all_0_26_26) = 0
% 181.74/111.48  | (333)  ! [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)))
% 181.74/111.48  | (334)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | finite(v1) = 0)
% 181.74/111.48  | (335)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v2, v0) = v3) |  ~ (set_intersection2(v0, v1) = v2))
% 181.74/111.48  | (336)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (preboolean(v0) = v1) |  ? [v2] :  ? [v3] : (cup_closed(v0) = v2 & diff_closed(v0) = v3 & ( ~ (v3 = 0) |  ~ (v2 = 0))))
% 181.74/111.48  | (337)  ! [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))))
% 181.74/111.48  | (338)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (singleton(v0) = v2) |  ~ (disjoint(v2, v1) = v3) | in(v0, v1) = 0)
% 181.74/111.48  | (339) open_subset(all_0_51_51, all_0_55_55) = 0
% 181.74/111.48  | (340)  ! [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)))))
% 181.74/111.48  | (341)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_image(v3, v2) = v1) |  ~ (relation_image(v3, v2) = v0))
% 181.74/111.48  | (342)  ! [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)))
% 181.74/111.48  | (343)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) | set_union2(v0, v1) = v3)
% 181.74/111.48  | (344) v1_membered(empty_set) = 0
% 181.74/111.48  | (345)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (relation(v1) = 0) |  ~ (empty(v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = 0 & v9 = v3 & v8 = 0 & v7 = v3 & v6 = 0 &  ~ (v5 = v4) & in(v5, v3) = 0 & in(v4, v3) = 0 & in(v3, v0) = 0 &  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (ordered_pair(v5, v11) = v12) |  ~ (in(v12, v1) = v13) |  ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14)) &  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (ordered_pair(v4, v11) = v12) |  ~ (in(v12, v1) = v13) |  ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14))) | ( ! [v11] :  ! [v12] :  ! [v13] : (v12 = 0 |  ~ (in(v13, v0) = 0) |  ~ (in(v11, v13) = 0) |  ~ (in(v11, v3) = v12) |  ? [v14] :  ? [v15] :  ? [v16] : ( ~ (v16 = 0) & ordered_pair(v11, v14) = v15 & in(v15, v1) = v16 & in(v14, v13) = 0)) &  ! [v11] : ( ~ (in(v11, v3) = 0) |  ? [v12] : (in(v12, v0) = 0 & in(v11, v12) = 0 &  ! [v13] :  ! [v14] :  ! [v15] : (v15 = 0 |  ~ (ordered_pair(v11, v13) = v14) |  ~ (in(v14, v1) = v15) |  ? [v16] : ( ~ (v16 = 0) & in(v13, v12) = v16)))))))
% 182.10/111.48  | (346)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (v3_membered(v2) = v6 & v3_membered(v0) = v3 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v6 = 0 & v5 = 0 & v4 = 0))))
% 182.10/111.48  | (347)  ! [v0] : ( ~ (union(v0) = v0) | being_limit_ordinal(v0) = 0)
% 182.10/111.48  | (348)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v0, v2) = v3) |  ~ (singleton(v1) = v2) | in(v1, v0) = 0)
% 182.10/111.48  | (349)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | pair_second(v2) = v1)
% 182.10/111.48  | (350)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (meet_commutative(v0) = v5 & meet_semilatt_str(v0) = v6 & meet_commut(v0, v2, v1) = v8 & meet_commut(v0, v1, v2) = v7 & empty_carrier(v0) = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v8 = v7 | v4 = 0)))
% 182.10/111.48  | (351)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (connected(v2) = v1) |  ~ (connected(v2) = v0))
% 182.10/111.48  | (352)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (set_union2(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 182.10/111.48  | (353)  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2))
% 182.10/111.48  | (354)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (empty(v1) = 0) |  ~ (empty(v0) = 0))
% 182.10/111.48  | (355)  ! [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)))
% 182.10/111.48  | (356)  ! [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)))
% 182.10/111.48  | (357)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3))
% 182.10/111.48  | (358)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_rng(v1) = v0)
% 182.10/111.48  | (359)  ! [v0] :  ! [v1] : ( ~ (compact_top_space(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (top_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v4) = v5 & powerset(v3) = v4 & ( ~ (v2 = 0) | (( ~ (v1 = 0) |  ! [v10] : ( ~ (element(v10, v5) = 0) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & is_a_cover_of_carrier(v0, v11) = 0 & subset(v11, v10) = 0 & finite(v11) = 0 & element(v11, v5) = 0) | (is_a_cover_of_carrier(v0, v10) = v11 & open_subsets(v10, v0) = v12 & ( ~ (v12 = 0) |  ~ (v11 = 0)))))) & (v1 = 0 | (v9 = 0 & v8 = 0 & v7 = 0 & is_a_cover_of_carrier(v0, v6) = 0 & open_subsets(v6, v0) = 0 & element(v6, v5) = 0 &  ! [v10] : ( ~ (element(v10, v5) = 0) |  ? [v11] :  ? [v12] :  ? [v13] : (is_a_cover_of_carrier(v0, v10) = v12 & subset(v10, v6) = v11 & finite(v10) = v13 & ( ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0))))))))))
% 182.10/111.48  | (360) function(all_0_30_30) = 0
% 182.10/111.48  | (361)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (point_neighbourhood(v4, v3, v2) = v1) |  ~ (point_neighbourhood(v4, v3, v2) = v0))
% 182.10/111.48  | (362)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (the_carrier(v0) = v2) |  ~ (element(v1, v2) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : ((v4 = 0 & point_neighbourhood(v3, v0, v1) = 0) | (topological_space(v0) = v4 & top_str(v0) = v5 & empty_carrier(v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) | v3 = 0))))
% 182.10/111.48  | (363)  ! [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))
% 182.10/111.48  | (364)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v3 = 0) |  ~ (v2 = 0) | ( ! [v5] :  ! [v6] :  ! [v7] : (v6 = 0 |  ~ (in(v7, v4) = 0) |  ~ (in(v5, v1) = v6) |  ? [v8] : ( ~ (v8 = v5) & apply(v0, v7) = v8)) &  ! [v5] : ( ~ (in(v5, v1) = 0) |  ? [v6] : (apply(v0, v6) = v5 & in(v6, v4) = 0)) &  ? [v5] : (v5 = v1 |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (in(v6, v5) = v7 & ( ~ (v7 = 0) |  ! [v11] : ( ~ (in(v11, v4) = 0) |  ? [v12] : ( ~ (v12 = v6) & apply(v0, v11) = v12))) & (v7 = 0 | (v10 = v6 & v9 = 0 & apply(v0, v8) = v6 & in(v8, v4) = 0))))))))
% 182.10/111.48  | (365)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (subset(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4))
% 182.10/111.48  | (366)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (apply(v3, v2) = v1) |  ~ (apply(v3, v2) = v0))
% 182.10/111.48  | (367) empty(all_0_12_12) = all_0_11_11
% 182.10/111.48  | (368)  ! [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)))
% 182.10/111.48  | (369) top_str(all_0_2_2) = 0
% 182.10/111.48  | (370)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (disjoint(v1, v2) = 0) |  ~ (disjoint(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 182.10/111.48  | (371)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v1) = v2) |  ? [v3] :  ? [v4] : (in(v3, v0) = v4 & ( ~ (v4 = 0) |  ~ (v3 = v1)) & (v4 = 0 | v3 = v1)))
% 182.13/111.48  | (372)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (cast_as_carrier_subset(v0) = v7 & topological_space(v0) = v5 & top_str(v0) = v6 & ( ~ (v6 = 0) |  ~ (v5 = 0) | (v9 = 0 & element(v8, v4) = 0 &  ! [v10] : ( ~ (element(v10, v3) = 0) |  ? [v11] :  ? [v12] :  ? [v13] : (set_difference(v7, v10) = v12 & in(v12, v1) = v13 & in(v10, v8) = v11 & ( ~ (v13 = 0) | v11 = 0) & ( ~ (v11 = 0) | v13 = 0)))))))
% 182.13/111.49  | (373)  ! [v0] : ( ~ (v4_membered(v0) = 0) | v3_membered(v0) = 0)
% 182.13/111.49  | (374)  ! [v0] :  ! [v1] : ( ~ (epsilon_connected(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (epsilon_transitive(v0) = v3 & ordinal(v0) = v4 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0 & v1 = 0))))
% 182.13/111.49  | (375)  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] : (topstr_closure(v0, v3) = v4 & subset(v3, v4) = 0))))
% 182.13/111.49  | (376)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v1_xreal_0(v2) = v1) |  ~ (v1_xreal_0(v2) = v0))
% 182.13/111.49  | (377) relation_empty_yielding(empty_set) = 0
% 182.13/111.49  | (378)  ! [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))
% 182.13/111.49  | (379) one_to_one(all_0_24_24) = 0
% 182.13/111.49  | (380)  ! [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)))))
% 182.13/111.49  | (381)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_dom_restriction(v1, v0) = v2) |  ~ (subset(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4))
% 182.13/111.49  | (382) v4_membered(empty_set) = 0
% 182.13/111.49  | (383)  ! [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))))
% 182.13/111.49  | (384)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (fiber(v3, v2) = v1) |  ~ (fiber(v3, v2) = v0))
% 182.13/111.49  | (385)  ! [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))))))
% 182.13/111.49  | (386)  ! [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))
% 182.13/111.49  | (387)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] :  ? [v4] : (set_intersection2(v0, v1) = v3 & in(v4, v3) = 0))
% 182.13/111.49  | (388)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_of2(v2, v0, v1) = 0) | relation_of2_as_subset(v2, v0, v1) = 0)
% 182.13/111.49  | (389)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) |  ? [v2] :  ? [v3] : (well_ordering(v1) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 182.13/111.49  | (390)  ! [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)))
% 182.13/111.49  | (391)  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] : (topstr_closure(v0, v3) = v4 &  ! [v5] : (v5 = v4 |  ~ (element(v5, v2) = 0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (in(v6, v5) = v7 & in(v6, v1) = 0 & ( ~ (v7 = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & open_subset(v8, v0) = 0 & disjoint(v3, v8) = 0 & element(v8, v2) = 0 & in(v6, v8) = 0)) & (v7 = 0 |  ! [v13] : ( ~ (element(v13, v2) = 0) |  ? [v14] :  ? [v15] :  ? [v16] : (open_subset(v13, v0) = v14 & disjoint(v3, v13) = v16 & in(v6, v13) = v15 & ( ~ (v16 = 0) |  ~ (v15 = 0) |  ~ (v14 = 0))))))) &  ! [v5] : ( ~ (element(v4, v2) = 0) |  ~ (in(v5, v1) = 0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (in(v5, v4) = v6 & ( ~ (v6 = 0) |  ! [v12] : ( ~ (element(v12, v2) = 0) |  ? [v13] :  ? [v14] :  ? [v15] : (open_subset(v12, v0) = v13 & disjoint(v3, v12) = v15 & in(v5, v12) = v14 & ( ~ (v15 = 0) |  ~ (v14 = 0) |  ~ (v13 = 0))))) & (v6 = 0 | (v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & open_subset(v7, v0) = 0 & disjoint(v3, v7) = 0 & element(v7, v2) = 0 & in(v5, v7) = 0))))))))
% 182.13/111.49  | (392)  ! [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))
% 182.13/111.49  | (393)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset(v3, v2) = v1) |  ~ (subset(v3, v2) = v0))
% 182.13/111.49  | (394)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (centered(v0) = 0) |  ~ (set_meet(v1) = empty_set) |  ? [v2] :  ? [v3] : (subset(v1, v0) = v2 & finite(v1) = v3 & ( ~ (v3 = 0) |  ~ (v2 = 0))))
% 182.13/111.49  | (395)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (ordinal(v1) = 0) |  ~ (ordinal(v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 182.13/111.49  | (396)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (cartesian_product2(v3, v2) = v1) |  ~ (cartesian_product2(v3, v2) = v0))
% 182.13/111.49  | (397)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (is_well_founded_in(v0, v1) = v2) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (well_orders(v0, v1) = v3 & is_reflexive_in(v0, v1) = v4 & is_transitive_in(v0, v1) = v5 & is_connected_in(v0, v1) = v7 & is_antisymmetric_in(v0, v1) = v6 & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v2 = 0))))
% 182.13/111.49  | (398)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (union(v2) = v1) |  ~ (union(v2) = v0))
% 182.13/111.49  | (399)  ! [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))))
% 182.13/111.49  | (400)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v1_int_1(v2) = v1) |  ~ (v1_int_1(v2) = v0))
% 182.13/111.49  | (401)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (disjoint(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = empty_set) & set_intersection2(v0, v1) = v3))
% 182.13/111.49  | (402)  ! [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))
% 182.13/111.49  | (403)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (meet_commut(v4, v3, v2) = v1) |  ~ (meet_commut(v4, v3, v2) = v0))
% 182.13/111.49  | (404)  ! [v0] : ( ~ (one_sorted_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (the_carrier(v0) = v1 & powerset(v2) = v3 & powerset(v1) = v2 &  ! [v4] : ( ~ (element(v4, v3) = 0) |  ? [v5] :  ? [v6] :  ? [v7] : (complements_of_subsets(v1, v4) = v5 & finite(v5) = v6 & finite(v4) = v7 & ( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0)))))
% 182.13/111.49  | (405)  ! [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))))
% 182.13/111.49  | (406)  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v3) = v4 & powerset(v2) = v3 & ( ~ (v1 = 0) |  ! [v5] : ( ~ (element(v5, v3) = 0) |  ? [v6] :  ? [v7] : (meet_of_subsets(v2, v7) = v6 & topstr_closure(v0, v5) = v6 & element(v7, v4) = 0 &  ! [v8] : ( ~ (element(v8, v3) = 0) |  ? [v9] :  ? [v10] :  ? [v11] : (closed_subset(v8, v0) = v10 & subset(v5, v8) = v11 & in(v8, v7) = v9 & ( ~ (v11 = 0) |  ~ (v10 = 0) | v9 = 0) & ( ~ (v9 = 0) | (v11 = 0 & v10 = 0)))))))))
% 182.13/111.50  | (407)  ! [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)))))
% 182.13/111.50  | (408) relation(all_0_27_27) = 0
% 182.13/111.50  | (409)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v4) = v5 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ~ (element(empty_set, v5) = 0) |  ? [v6] : ( ~ (v6 = 0) & is_a_cover_of_carrier(v0, empty_set) = v6))))
% 182.13/111.50  | (410)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (join_commut(v4, v3, v2) = v1) |  ~ (join_commut(v4, v3, v2) = v0))
% 182.13/111.50  | (411)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (v3_membered(v2) = v6 & v3_membered(v0) = v3 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v6 = 0 & v5 = 0 & v4 = 0))))
% 182.13/111.50  | (412)  ~ (all_0_58_58 = 0)
% 182.13/111.50  | (413)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ? [v3] :  ? [v4] : (v1_membered(v2) = v4 & v1_membered(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 182.13/111.50  | (414)  ~ (all_0_20_20 = 0)
% 182.13/111.50  | (415)  ! [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))))
% 182.13/111.50  | (416)  ! [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))
% 182.13/111.50  | (417)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (in(v3, v2) = v1) |  ~ (in(v3, v2) = v0))
% 182.13/111.50  | (418) relation(all_0_15_15) = 0
% 182.13/111.50  | (419) empty_carrier(all_0_55_55) = all_0_54_54
% 182.13/111.50  | (420)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (epsilon_connected(v1) = v2) |  ~ (ordinal(v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : (epsilon_transitive(v1) = v4 & ordinal(v1) = v5 & element(v1, v0) = v3 & ( ~ (v3 = 0) | (v5 = 0 & v4 = 0 & v2 = 0))))
% 182.13/111.50  | (421)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (v2_membered(v0) = 0) |  ~ (v1_xreal_0(v1) = v2) |  ? [v3] :  ? [v4] : (v1_xcmplx_0(v1) = v4 & element(v1, v0) = v3 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0))))
% 182.13/111.50  | (422)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (join(v0, v1, v2) = v8 & empty_carrier(v0) = v4 & join_commutative(v0) = v5 & join_semilatt_str(v0) = v6 & join_commut(v0, v1, v2) = v7 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v8 = v7 | v4 = 0)))
% 182.13/111.50  | (423)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (interior(v3, v2) = v1) |  ~ (interior(v3, v2) = v0))
% 182.13/111.50  | (424)  ? [v0] :  ? [v1] : (well_orders(v1, v0) = 0 & relation(v1) = 0)
% 182.13/111.50  | (425)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_rng_restriction(v3, v2) = v1) |  ~ (relation_rng_restriction(v3, v2) = v0))
% 182.13/111.50  | (426)  ! [v0] :  ! [v1] : ( ~ (set_difference(v0, v1) = empty_set) | subset(v0, v1) = 0)
% 182.13/111.50  | (427)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (epsilon_transitive(v0) = v1) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & subset(v2, v0) = v3 & in(v2, v0) = 0))
% 182.13/111.50  | (428)  ! [v0] : ( ~ (transitive_relstr(v0) = 0) |  ? [v1] :  ? [v2] : (rel_str(v0) = v1 & the_carrier(v0) = v2 & ( ~ (v1 = 0) |  ! [v3] :  ! [v4] : ( ~ (element(v4, v2) = 0) |  ~ (element(v3, v2) = 0) |  ? [v5] : (related(v0, v3, v4) = v5 &  ! [v6] : ( ~ (v5 = 0) |  ~ (element(v6, v2) = 0) |  ? [v7] :  ? [v8] : (related(v0, v4, v6) = v7 & related(v0, v3, v6) = v8 & ( ~ (v7 = 0) | v8 = 0))))))))
% 182.13/111.50  | (429)  ! [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))
% 182.13/111.50  | (430)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ (in(v0, v2) = v3))
% 182.13/111.50  | (431)  ! [v0] : ( ~ (meet_semilatt_str(v0) = 0) | one_sorted_str(v0) = 0)
% 182.13/111.50  | (432)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_difference(empty_set, v0) = v1))
% 182.13/111.50  | (433)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (quasi_total(v4, v3, v2) = v1) |  ~ (quasi_total(v4, v3, v2) = v0))
% 182.13/111.50  | (434) relation_empty_yielding(all_0_30_30) = 0
% 182.13/111.50  | (435)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (closed_subset(v6, v0) = v7 & topological_space(v0) = v4 & top_str(v0) = v5 & topstr_closure(v0, v1) = v6 & ( ~ (v5 = 0) |  ~ (v4 = 0) | v7 = 0)))
% 182.13/111.50  | (436)  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : (in(v2, v1) = 0 &  ! [v3] : ( ~ (in(v3, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & in(v3, v2) = v4))))
% 182.13/111.50  | (437)  ! [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))))
% 182.13/111.50  | (438)  ! [v0] :  ! [v1] : ( ~ (in(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 182.13/111.50  | (439)  ! [v0] :  ! [v1] : ( ~ (meet_absorbing(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (latt_str(v0) = v3 & the_carrier(v0) = v4 & empty_carrier(v0) = v2 & ( ~ (v3 = 0) | v2 = 0 | (( ~ (v1 = 0) |  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v12 |  ~ (meet(v0, v11, v12) = v13) |  ~ (join(v0, v13, v12) = v14) |  ~ (element(v11, v4) = 0) |  ? [v15] : ( ~ (v15 = 0) & element(v12, v4) = v15))) & (v1 = 0 | (v8 = 0 & v6 = 0 &  ~ (v10 = v7) & meet(v0, v5, v7) = v9 & join(v0, v9, v7) = v10 & element(v7, v4) = 0 & element(v5, v4) = 0))))))
% 182.13/111.50  | (440)  ! [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))
% 182.13/111.50  | (441)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (v5_membered(v2) = v8 & v5_membered(v0) = v3 & v4_membered(v2) = v7 & v3_membered(v2) = v6 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0))))
% 182.13/111.50  | (442)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (succ(v0) = v1) |  ~ (in(v0, v1) = v2))
% 182.13/111.50  | (443)  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & ( ~ (v2 = 0) | v3 = v1)))
% 182.13/111.50  | (444)  ! [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)))
% 182.23/111.50  | (445) epsilon_transitive(all_0_26_26) = 0
% 182.23/111.50  | (446)  ! [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)))
% 182.23/111.50  | (447) relation_dom(empty_set) = empty_set
% 182.23/111.50  | (448)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v2) = v3) |  ~ (set_difference(v0, v1) = v2) | set_intersection2(v0, v1) = v3)
% 182.23/111.50  | (449)  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] : (topstr_closure(v0, v3) = v4 &  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (in(v5, v4) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : ((v10 = 0 & v9 = 0 & v8 = 0 &  ~ (v11 = 0) & closed_subset(v7, v0) = 0 & subset(v3, v7) = 0 & element(v7, v2) = 0 & in(v5, v7) = v11) | ( ~ (v7 = 0) & in(v5, v1) = v7))) &  ! [v5] :  ! [v6] : ( ~ (element(v6, v2) = 0) |  ~ (in(v5, v4) = 0) |  ? [v7] :  ? [v8] :  ? [v9] : (( ~ (v7 = 0) & in(v5, v1) = v7) | (closed_subset(v6, v0) = v7 & subset(v3, v6) = v8 & in(v5, v6) = v9 & ( ~ (v8 = 0) |  ~ (v7 = 0) | v9 = 0))))))))
% 182.23/111.51  | (450) being_limit_ordinal(all_0_14_14) = 0
% 182.23/111.51  | (451)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | diff_closed(v1) = 0)
% 182.23/111.51  | (452)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_InternalRel(v2) = v1) |  ~ (the_InternalRel(v2) = v0))
% 182.23/111.51  | (453)  ! [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)))
% 182.23/111.51  | (454)  ! [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))))))
% 182.23/111.51  | (455) epsilon_connected(empty_set) = 0
% 182.23/111.51  | (456)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (singleton(v0) = v3) |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4)
% 182.23/111.51  | (457) v5_membered(empty_set) = 0
% 182.23/111.51  | (458)  ! [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)))
% 182.23/111.51  | (459)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (succ(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (singleton(v0) = v6 & ordinal(v0) = v5 & powerset(v0) = v7 & ( ~ (v5 = 0) | ( ! [v9] :  ! [v10] :  ! [v11] : (v10 = 0 |  ~ (set_difference(v11, v6) = v9) |  ~ (in(v9, v8) = v10) |  ~ (in(v9, v7) = 0) |  ? [v12] : ( ~ (v12 = 0) & in(v11, v1) = v12)) &  ! [v9] : ( ~ (in(v9, v8) = 0) |  ? [v10] : (set_difference(v10, v6) = v9 & in(v10, v1) = 0 & in(v9, v7) = 0))))))
% 182.23/111.51  | (460)  ! [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))))))
% 182.23/111.51  | (461)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (meet_commut(v0, v1, v2) = v4) |  ~ (the_carrier(v0) = v3) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (meet_commutative(v0) = v7 & meet_semilatt_str(v0) = v8 & empty_carrier(v0) = v6 & element(v2, v3) = v10 & element(v1, v3) = v9 & ( ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v6 = 0)))
% 182.23/111.51  | (462)  ! [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))
% 182.23/111.51  | (463)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_of2(v4, v3, v2) = v1) |  ~ (relation_of2(v4, v3, v2) = v0))
% 182.23/111.51  | (464)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (subset(v0, v2) = v3) |  ~ (set_union2(v0, v1) = v2))
% 182.23/111.51  | (465) join_semilatt_str(all_0_4_4) = 0
% 182.23/111.51  | (466)  ! [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))))))
% 182.23/111.51  | (467)  ! [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))))))
% 182.23/111.51  | (468)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & ordinal(v1) = v3) | ( ! [v4] :  ! [v5] : (v5 = 0 |  ~ (ordinal(v4) = 0) |  ~ (in(v4, v3) = v5) |  ~ (in(v4, v2) = 0) |  ? [v6] : ( ~ (v6 = 0) & in(v4, v0) = v6)) &  ! [v4] : ( ~ (in(v4, v3) = 0) | (ordinal(v4) = 0 & in(v4, v2) = 0 & in(v4, v0) = 0)))))
% 182.23/111.51  | (469)  ! [v0] :  ! [v1] : ( ~ (equipotent(v0, v1) = 0) | equipotent(v1, v0) = 0)
% 182.23/111.51  | (470)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] : (union(v1) = v4 & union_of_subsets(v0, v1) = v4))
% 182.23/111.51  | (471)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) | (v6 = 0 &  ~ (v7 = 0) & empty(v5) = v7 & element(v5, v4) = 0))))
% 182.23/111.51  | (472) function(all_0_15_15) = 0
% 182.23/111.51  | (473)  ? [v0] :  ? [v1] : ( ! [v2] :  ! [v3] :  ! [v4] : (v3 = 0 |  ~ (singleton(v4) = v2) |  ~ (in(v2, v1) = v3) |  ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = v5)) &  ! [v2] : ( ~ (in(v2, v1) = 0) |  ? [v3] : (singleton(v3) = v2 & in(v3, v0) = 0)))
% 182.23/111.51  | (474)  ! [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))))
% 182.23/111.51  | (475)  ? [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)))))
% 182.23/111.51  | (476)  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) | disjoint(v1, v0) = 0)
% 182.23/111.51  | (477)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ? [v4] : (subset_intersection2(v0, v2, v1) = v4 & subset_intersection2(v0, v1, v2) = v4))
% 182.23/111.51  | (478) powerset(empty_set) = all_0_57_57
% 182.23/111.51  | (479)  ! [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))
% 182.23/111.51  | (480)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_as_subset(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (relation_of2_as_subset(v2, v0, v1) = v4 & quasi_total(v2, v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v1 = empty_set) | v0 = empty_set | (( ~ (v5 = 0) | v2 = empty_set) & ( ~ (v2 = empty_set) | v5 = 0))) & ((v1 = empty_set &  ~ (v0 = empty_set)) | (( ~ (v5 = 0) | v3 = v0) & ( ~ (v3 = v0) | v5 = 0)))))))
% 182.23/111.51  | (481)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (equipotent(v3, v2) = v1) |  ~ (equipotent(v3, v2) = v0))
% 182.23/111.51  | (482)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, v0) = v1))
% 182.23/111.51  | (483)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (meet_commutative(v2) = v1) |  ~ (meet_commutative(v2) = v0))
% 182.23/111.51  | (484) ordinal(omega) = 0
% 182.23/111.51  | (485)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (element(v3, v2) = v1) |  ~ (element(v3, v2) = v0))
% 182.23/111.51  | (486)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (v2_membered(v2) = v5 & v2_membered(v0) = v3 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v5 = 0 & v4 = 0))))
% 182.23/111.51  | (487)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & ordinal(v1) = v3) | ( ! [v4] :  ! [v5] : (v5 = 0 |  ~ (in(v4, v2) = v5) |  ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6)) &  ! [v4] :  ! [v5] : ( ~ (in(v4, v2) = v5) |  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = 0 & v7 = 0 & v6 = v4 & ordinal(v4) = 0 & in(v4, v0) = 0) | ( ~ (v6 = 0) & in(v4, v3) = v6))) &  ! [v4] : ( ~ (ordinal(v4) = 0) |  ~ (in(v4, v2) = 0) |  ? [v5] : ((v5 = 0 & in(v4, v3) = 0) | ( ~ (v5 = 0) & in(v4, v0) = v5))))))
% 182.28/111.52  | (488)  ! [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)))
% 182.28/111.52  | (489)  ! [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)))))
% 182.28/111.52  | (490)  ! [v0] :  ! [v1] : ( ~ (empty_carrier_subset(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (one_sorted_str(v0) = v2 & empty(v1) = v3 & v5_membered(v1) = v8 & v4_membered(v1) = v7 & v3_membered(v1) = v6 & v2_membered(v1) = v5 & v1_membered(v1) = v4 & ( ~ (v2 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0))))
% 182.28/111.52  | (491)  ! [v0] :  ! [v1] : ( ~ (compact_top_space(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (topological_space(v0) = v3 & top_str(v0) = v4 & the_carrier(v0) = v5 & empty_carrier(v0) = v2 & powerset(v6) = v7 & powerset(v5) = v6 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v2 = 0 | (( ~ (v1 = 0) |  ! [v13] : ( ~ (element(v13, v7) = 0) |  ? [v14] :  ? [v15] :  ? [v16] : (meet_of_subsets(v5, v13) = v16 & closed_subsets(v13, v0) = v15 & centered(v13) = v14 & ( ~ (v16 = empty_set) |  ~ (v15 = 0) |  ~ (v14 = 0))))) & (v1 = 0 | (v12 = empty_set & v11 = 0 & v10 = 0 & v9 = 0 & meet_of_subsets(v5, v8) = empty_set & closed_subsets(v8, v0) = 0 & centered(v8) = 0 & element(v8, v7) = 0))))))
% 182.28/111.52  | (492)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (function(v2) = 0) |  ~ (powerset(v3) = v4) |  ~ (powerset(v0) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (relation_dom(v2) = v6 & relation(v2) = v5 & powerset(v6) = v7 & ( ~ (v5 = 0) | ( ! [v9] :  ! [v10] :  ! [v11] : ( ~ (relation_image(v2, v9) = v10) |  ~ (in(v10, v1) = v11) |  ? [v12] :  ? [v13] : ((v13 = 0 & v12 = v9 & v11 = 0 & in(v9, v7) = 0) | ( ~ (v12 = 0) & in(v9, v8) = v12))) &  ! [v9] :  ! [v10] : ( ~ (relation_image(v2, v9) = v10) |  ~ (in(v10, v1) = 0) |  ~ (in(v9, v7) = 0) | in(v9, v8) = 0)))))
% 182.28/111.52  | (493)  ! [v0] :  ! [v1] : ( ~ (natural(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (epsilon_connected(v0) = v5 & epsilon_transitive(v0) = v4 & ordinal(v0) = v3 & empty(v0) = v2 & ( ~ (v3 = 0) |  ~ (v2 = 0) | (v5 = 0 & v4 = 0 & v1 = 0))))
% 182.28/111.52  | (494)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (meet(v0, v1, v2) = v4) |  ~ (the_carrier(v0) = v3) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (meet_semilatt_str(v0) = v7 & empty_carrier(v0) = v6 & element(v2, v3) = v9 & element(v1, v3) = v8 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v6 = 0)))
% 182.28/111.52  | (495)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (relation(v1) = 0) |  ~ (empty(v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = 0 & v9 = v3 & v8 = 0 & v7 = v3 & v6 = 0 &  ~ (v5 = v4) & in(v5, v3) = 0 & in(v4, v3) = 0 & in(v3, v0) = 0 &  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (ordered_pair(v5, v11) = v12) |  ~ (in(v12, v1) = v13) |  ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14)) &  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (ordered_pair(v4, v11) = v12) |  ~ (in(v12, v1) = v13) |  ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14))) | (v6 = v0 & v5 = 0 & v4 = 0 & relation_dom(v3) = v0 & relation(v3) = 0 & function(v3) = 0 &  ! [v11] :  ! [v12] : ( ~ (apply(v3, v11) = v12) |  ? [v13] :  ? [v14] : ((v14 = 0 & v13 = v11 & in(v12, v11) = 0 &  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (ordered_pair(v12, v15) = v16) |  ~ (in(v16, v1) = v17) |  ? [v18] : ( ~ (v18 = 0) & in(v15, v11) = v18))) | ( ~ (v13 = 0) & in(v11, v0) = v13)))) | (v4 = 0 & in(v3, v0) = 0 &  ! [v11] : ( ~ (in(v11, v3) = 0) |  ? [v12] :  ? [v13] :  ? [v14] : ( ~ (v14 = 0) & ordered_pair(v11, v12) = v13 & in(v13, v1) = v14 & in(v12, v3) = 0)))))
% 182.28/111.52  | (496) empty(all_0_19_19) = 0
% 182.28/111.52  | (497)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ~ (in(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4))
% 182.28/111.52  | (498)  ~ (all_0_22_22 = 0)
% 182.28/111.52  | (499)  ! [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))
% 182.28/111.52  | (500)  ! [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))))
% 182.28/111.52  | (501)  ! [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))))))))
% 182.28/111.52  | (502) natural(all_0_7_7) = 0
% 182.28/111.52  | (503)  ! [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)))
% 182.28/111.52  | (504)  ! [v0] : ( ~ (v5_membered(v0) = 0) | v4_membered(v0) = 0)
% 182.28/111.52  | (505)  ! [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)))
% 182.28/111.52  | (506)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 182.28/111.52  | (507)  ! [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))
% 182.28/111.52  | (508)  ! [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)))
% 182.28/111.52  | (509)  ! [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)))))))
% 182.28/111.52  | (510)  ~ (all_0_11_11 = 0)
% 182.28/111.52  | (511)  ! [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)))
% 182.28/111.52  | (512)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_difference(v0, empty_set) = v1))
% 182.28/111.52  | (513)  ! [v0] :  ! [v1] : ( ~ (element(v0, v1) = 0) |  ? [v2] :  ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0)))
% 182.28/111.52  | (514)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_L_meet(v2) = v1) |  ~ (the_L_meet(v2) = v0))
% 182.28/111.52  | (515)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (topological_space(v0) = v4 & interior(v0, v1) = v6 & top_str(v0) = v5 & open_subset(v6, v0) = v7 & ( ~ (v5 = 0) |  ~ (v4 = 0) | v7 = 0)))
% 182.28/111.52  | (516)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] : (relation_inverse(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = v0)))
% 182.28/111.52  | (517)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (interior(v0, v1) = v4) |  ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] : (top_str(v0) = v6 & element(v1, v3) = v7 & ( ~ (v7 = 0) |  ~ (v6 = 0))))
% 182.28/111.53  | (518)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (singleton(v0) = v2) |  ~ (set_union2(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 182.28/111.53  | (519) v2_membered(all_0_12_12) = 0
% 182.28/111.53  | (520)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (finite(v1) = 0) |  ~ (finite(v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 182.28/111.53  | (521)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (equipotent(v0, v0) = v1))
% 182.28/111.53  | (522)  ! [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))
% 182.28/111.53  | (523)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (v2_membered(v2) = v5 & v2_membered(v0) = v3 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v5 = 0 & v4 = 0))))
% 182.28/111.53  | (524)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] : (v1_membered(v2) = v4 & v1_membered(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 182.28/111.53  | (525)  ! [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))))
% 182.28/111.53  | (526)  ! [v0] :  ! [v1] : ( ~ (well_founded_relation(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (well_ordering(v0) = v3 & reflexive(v0) = v4 & transitive(v0) = v5 & connected(v0) = v7 & antisymmetric(v0) = v6 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v1 = 0) | v3 = 0) & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v1 = 0))))))
% 182.28/111.53  | (527)  ! [v0] : ( ~ (element(v0, omega) = 0) | (epsilon_connected(v0) = 0 & epsilon_transitive(v0) = 0 & ordinal(v0) = 0 & natural(v0) = 0))
% 182.28/111.53  | (528)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ? [v2] : (( ~ (v2 = 0) & ordinal(v0) = v2) | ( ! [v3] :  ! [v4] :  ! [v5] : (v4 = 0 |  ~ (in(v3, v2) = v4) |  ~ (in(v3, v1) = 0) |  ~ (in(v3, omega) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (ordinal(v3) = v6 & powerset(v7) = v8 & powerset(v3) = v7 & ( ~ (v6 = 0) | (v10 = 0 & v5 = 0 &  ~ (v9 = empty_set) & element(v9, v8) = 0 &  ! [v11] : ( ~ (in(v11, v9) = 0) |  ? [v12] : ( ~ (v12 = v11) & subset(v11, v12) = 0 & in(v12, v9) = 0)))))) &  ! [v3] : ( ~ (in(v3, v2) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : (ordinal(v3) = 0 & powerset(v5) = v6 & powerset(v3) = v5 & in(v3, v1) = 0 & in(v3, omega) = v4 & ( ~ (v4 = 0) |  ! [v7] : (v7 = empty_set |  ~ (element(v7, v6) = 0) |  ? [v8] : (in(v8, v7) = 0 &  ! [v9] : (v9 = v8 |  ~ (subset(v8, v9) = 0) |  ? [v10] : ( ~ (v10 = 0) & in(v9, v7) = v10))))))))))
% 182.28/111.53  | (529)  ! [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)))))))))))))
% 182.28/111.53  | (530)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, empty_set) = v1))
% 182.28/111.53  | (531)  ! [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)))
% 182.28/111.53  | (532)  ! [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))))))
% 182.28/111.53  | (533)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (diff_closed(v2) = v1) |  ~ (diff_closed(v2) = v0))
% 182.28/111.53  | (534)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v0 | v2 = v0 |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v4))
% 182.28/111.53  | (535)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pair_first(v2) = v1) |  ~ (pair_first(v2) = v0))
% 182.28/111.53  | (536)  ! [v0] :  ! [v1] : ( ~ (epsilon_transitive(v0) = 0) |  ~ (proper_subset(v0, v1) = 0) |  ? [v2] :  ? [v3] : (ordinal(v1) = v2 & in(v0, v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 182.28/111.53  | (537)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (disjoint(v0, v1) = 0) |  ~ (in(v2, v0) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v2, v1) = v3))
% 182.28/111.53  | (538) function(all_0_19_19) = 0
% 182.28/111.53  | (539)  ! [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)))))
% 182.28/111.53  | (540)  ! [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))
% 182.28/111.53  | (541)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (reflexive(v2) = v1) |  ~ (reflexive(v2) = v0))
% 182.28/111.53  | (542)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (function(v2) = 0) |  ~ (powerset(v3) = v4) |  ~ (powerset(v0) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (relation_dom(v2) = v6 & relation(v2) = v5 & powerset(v6) = v7 & ( ~ (v5 = 0) | ( ! [v9] :  ! [v10] : ( ~ (in(v9, v7) = v10) |  ? [v11] :  ? [v12] :  ? [v13] : (relation_image(v2, v9) = v12 & in(v12, v1) = v13 & in(v9, v8) = v11 & ( ~ (v11 = 0) | (v13 = 0 & v10 = 0)))) &  ! [v9] : ( ~ (in(v9, v7) = 0) |  ? [v10] :  ? [v11] :  ? [v12] : (relation_image(v2, v9) = v10 & in(v10, v1) = v11 & in(v9, v8) = v12 & ( ~ (v11 = 0) | v12 = 0)))))))
% 182.28/111.53  | (543)  ? [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))))
% 182.28/111.53  | (544)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] : ((topological_space(v0) = v4 & top_str(v0) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0))) | ( ! [v6] :  ! [v7] : ( ~ (subset(v1, v6) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : ((v12 = 0 & v11 = 0 & v10 = v6 & v9 = 0 & v8 = v6 & v7 = 0 & closed_subset(v6, v0) = 0 & element(v6, v3) = 0 & in(v6, v3) = 0) | ( ~ (v8 = 0) & in(v6, v4) = v8))) &  ! [v6] : ( ~ (subset(v1, v6) = 0) |  ~ (element(v6, v3) = 0) |  ~ (in(v6, v3) = 0) |  ? [v7] : ((v7 = 0 & in(v6, v4) = 0) | ( ~ (v7 = 0) & closed_subset(v6, v0) = v7))))))
% 182.28/111.53  | (545)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2)
% 182.28/111.53  | (546)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_rng_as_subset(v4, v3, v2) = v1) |  ~ (relation_rng_as_subset(v4, v3, v2) = v0))
% 182.28/111.53  | (547)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (closed_subset(v3, v0) = v4) |  ~ (subset_complement(v2, v1) = v3) |  ~ (the_carrier(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (topological_space(v0) = v5 & top_str(v0) = v6 & open_subset(v1, v0) = v7 & powerset(v2) = v8 & element(v1, v8) = v9 & ( ~ (v9 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0))))
% 182.28/111.53  | (548)  ! [v0] :  ! [v1] : ( ~ (union(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (epsilon_connected(v1) = v4 & epsilon_transitive(v1) = v3 & ordinal(v1) = v5 & ordinal(v0) = v2 & ( ~ (v2 = 0) | (v5 = 0 & v4 = 0 & v3 = 0))))
% 182.28/111.53  | (549)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (v5_membered(v0) = 0) |  ~ (v1_int_1(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (natural(v1) = v5 & v1_rat_1(v1) = v7 & v1_xreal_0(v1) = v6 & v1_xcmplx_0(v1) = v4 & element(v1, v0) = v3 & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v2 = 0))))
% 182.28/111.54  | (550)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (empty_carrier(v2) = v1) |  ~ (empty_carrier(v2) = v0))
% 182.28/111.54  | (551)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (singleton(v0) = v1) |  ~ (subset(empty_set, v1) = v2))
% 182.28/111.54  | (552)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (centered(v2) = v1) |  ~ (centered(v2) = v0))
% 182.28/111.54  | (553)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_connected_in(v3, v2) = v1) |  ~ (is_connected_in(v3, v2) = v0))
% 182.28/111.54  | (554)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (relation_of2(v2, v0, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4))
% 182.28/111.54  | (555)  ! [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] : ( ~ (fiber(v0, v4) = v5) |  ~ (disjoint(v5, v3) = 0) |  ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6))))
% 182.28/111.54  | (556)  ! [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))
% 182.28/111.54  | (557)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v2) = v3) |  ~ (cartesian_product2(v1, v1) = v2) |  ~ (relation(v0) = 0) | relation_restriction(v0, v1) = v3)
% 182.28/111.54  | (558)  ! [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))
% 182.28/111.54  | (559)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (unordered_triple(v4, v3, v2) = v1) |  ~ (unordered_triple(v4, v3, v2) = v0))
% 182.28/111.54  | (560)  ! [v0] : ( ~ (finite(v0) = 0) |  ? [v1] :  ? [v2] : (powerset(v1) = v2 & powerset(v0) = v1 &  ! [v3] : (v3 = empty_set |  ~ (element(v3, v2) = 0) |  ? [v4] : (in(v4, v3) = 0 &  ! [v5] : (v5 = v4 |  ~ (subset(v4, v5) = 0) |  ? [v6] : ( ~ (v6 = 0) & in(v5, v3) = v6))))))
% 182.28/111.54  | (561)  ! [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))
% 182.28/111.54  | (562)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_dom_restriction(v3, v2) = v1) |  ~ (relation_dom_restriction(v3, v2) = v0))
% 182.28/111.54  | (563)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ (in(v1, v2) = v3))
% 182.28/111.54  | (564)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (apply_binary(v4, v3, v2) = v1) |  ~ (apply_binary(v4, v3, v2) = v0))
% 182.28/111.54  | (565)  ! [v0] : ( ~ (v2_membered(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) | (v2_membered(v2) = 0 & v1_membered(v2) = 0))))
% 182.28/111.54  | (566)  ! [v0] : ( ~ (in(v0, omega) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (ordinal(v0) = v1 & powerset(v2) = v3 & powerset(v0) = v2 & ( ~ (v1 = 0) |  ! [v4] : (v4 = empty_set |  ~ (element(v4, v3) = 0) |  ? [v5] : (in(v5, v4) = 0 &  ! [v6] : (v6 = v5 |  ~ (subset(v5, v6) = 0) |  ? [v7] : ( ~ (v7 = 0) & in(v6, v4) = v7))))))) | (all_0_42_42 = 0 & all_0_46_46 = 0 & all_0_47_47 = 0 &  ~ (all_0_43_43 = empty_set) & ordinal(all_0_48_48) = 0 & powerset(all_0_45_45) = all_0_44_44 & powerset(all_0_48_48) = all_0_45_45 & element(all_0_43_43, all_0_44_44) = 0 & in(all_0_48_48, omega) = 0 &  ! [v0] : ( ~ (in(v0, all_0_43_43) = 0) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_43_43) = 0)) &  ! [v0] : ( ~ (in(v0, omega) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (ordinal(v0) = v1 & powerset(v3) = v4 & powerset(v0) = v3 & in(v0, all_0_48_48) = v2 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ! [v5] : (v5 = empty_set |  ~ (element(v5, v4) = 0) |  ? [v6] : (in(v6, v5) = 0 &  ! [v7] : (v7 = v6 |  ~ (subset(v6, v7) = 0) |  ? [v8] : ( ~ (v8 = 0) & in(v7, v5) = v8))))))))
% 182.28/111.54  | (567)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (topological_space(v2) = v1) |  ~ (topological_space(v2) = v0))
% 182.28/111.54  | (568)  ! [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)))
% 182.28/111.54  | (569)  ! [v0] : ( ~ (v2_membered(v0) = 0) | v1_membered(v0) = 0)
% 182.28/111.54  | (570)  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (top_str(v0) = v2 & the_carrier(v0) = v3 & empty_carrier(v0) = v1 & powerset(v3) = v4 & ( ~ (v2 = 0) | v1 = 0 | (v8 = 0 & v6 = 0 &  ~ (v7 = 0) & closed_subset(v5, v0) = 0 & empty(v5) = v7 & element(v5, v4) = 0))))
% 182.28/111.54  | (571)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (empty_carrier(v0) = v4 & join_commutative(v0) = v5 & join_semilatt_str(v0) = v6 & join_commut(v0, v2, v1) = v8 & join_commut(v0, v1, v2) = v7 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v8 = v7 | v4 = 0)))
% 182.28/111.54  | (572)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (ordinal_subset(v0, v0) = v2) |  ~ (ordinal(v1) = 0) |  ? [v3] : ( ~ (v3 = 0) & ordinal(v0) = v3))
% 182.28/111.54  | (573)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (one_sorted_str(v2) = v1) |  ~ (one_sorted_str(v2) = v0))
% 182.28/111.54  | (574)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4))
% 182.28/111.54  | (575) one_sorted_str(all_0_3_3) = 0
% 182.28/111.54  | (576) empty(all_0_26_26) = all_0_25_25
% 182.28/111.54  | (577) empty(all_0_16_16) = 0
% 182.28/111.54  | (578) empty_carrier(all_0_29_29) = all_0_28_28
% 182.28/111.54  | (579)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3))
% 182.28/111.54  | (580)  ? [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)))
% 182.28/111.54  | (581)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (singleton(v1) = v0) |  ~ (subset(v0, v0) = v2))
% 182.28/111.54  | (582)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (epsilon_connected(v1) = v5 & epsilon_transitive(v1) = v4 & ordinal(v1) = v6 & ordinal(v0) = v2 & empty(v1) = v3 & ( ~ (v2 = 0) | (v6 = 0 & v5 = 0 & v4 = 0 &  ~ (v3 = 0)))))
% 182.28/111.54  | (583)  ! [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))
% 182.28/111.54  | (584) one_to_one(all_0_15_15) = 0
% 182.28/111.54  | (585)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (singleton(v0) = v2) |  ~ (subset(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 182.28/111.54  | (586)  ! [v0] :  ! [v1] : ( ~ (the_topology(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (top_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] : ( ~ (element(v5, v4) = 0) |  ? [v6] :  ? [v7] : (open_subset(v5, v0) = v6 & in(v5, v1) = v7 & ( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))))
% 182.28/111.54  | (587)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (proper_subset(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 182.28/111.54  | (588)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_rng(v2) = v1) |  ~ (relation_rng(v2) = v0))
% 182.28/111.54  | (589) relation(all_0_19_19) = 0
% 182.28/111.54  | (590) epsilon_connected(all_0_13_13) = 0
% 182.28/111.54  | (591)  ? [v0] :  ? [v1] : element(v1, v0) = 0
% 182.28/111.54  | (592)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v3_membered(v2) = v1) |  ~ (v3_membered(v2) = v0))
% 182.28/111.54  | (593)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) |  ? [v2] :  ? [v3] : (connected(v1) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 182.28/111.54  | (594)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (preboolean(v2) = v1) |  ~ (preboolean(v2) = v0))
% 182.28/111.54  | (595)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (union(v1) = v2) |  ~ (subset(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 182.28/111.54  | (596)  ! [v0] :  ! [v1] : ( ~ (proper_subset(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & proper_subset(v1, v0) = v2))
% 182.28/111.54  | (597)  ! [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))))
% 182.28/111.55  | (598)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] : (complements_of_subsets(v2, v1) = v6 & one_sorted_str(v0) = v5 & ( ~ (v5 = 0) |  ! [v7] :  ! [v8] : ( ~ (cartesian_product2(v6, v7) = v8) |  ? [v9] : ( ! [v10] :  ! [v11] :  ! [v12] : ( ~ (ordered_pair(v11, v12) = v10) |  ~ (in(v10, v8) = 0) |  ? [v13] :  ? [v14] :  ? [v15] : ((v14 = 0 & v13 = v11 &  ~ (v15 = v12) & subset_complement(v2, v11) = v15 & element(v11, v3) = 0) | (v13 = 0 & in(v10, v9) = 0) | ( ~ (v13 = 0) & in(v11, v6) = v13))) &  ! [v10] :  ! [v11] : (v11 = 0 |  ~ (in(v10, v8) = v11) |  ? [v12] : ( ~ (v12 = 0) & in(v10, v9) = v12)) &  ! [v10] :  ! [v11] : ( ~ (in(v10, v8) = v11) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : ((v15 = 0 & v14 = v10 & ordered_pair(v12, v13) = v10 & in(v12, v6) = 0 & ( ~ (element(v12, v3) = 0) | subset_complement(v2, v12) = v13)) | ( ~ (v12 = 0) & in(v10, v9) = v12))))))))
% 182.28/111.55  | (599)  ! [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)))
% 182.28/111.55  | (600)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (cup_closed(v2) = v1) |  ~ (cup_closed(v2) = v0))
% 182.28/111.55  | (601)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (proper_subset(v3, v2) = v1) |  ~ (proper_subset(v3, v2) = v0))
% 182.28/111.55  | (602)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset(v0, v1) = 0) |  ~ (in(v2, v0) = 0) | in(v2, v1) = 0)
% 182.28/111.55  | (603) one_sorted_str(all_0_29_29) = 0
% 182.28/111.55  | (604)  ! [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))))))
% 182.28/111.55  | (605)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (v4_membered(v2) = v7 & v4_membered(v0) = v3 & v3_membered(v2) = v6 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0))))
% 182.28/111.55  | (606)  ! [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)))
% 182.28/111.55  | (607)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (inclusion_relation(v0) = v1) |  ~ (relation_field(v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & relation(v1) = v3))
% 182.28/111.55  | (608)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (finite(v2) = v5 & finite(v1) = v4 & finite(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 182.28/111.55  | (609)  ! [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)))
% 182.28/111.55  | (610)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (latt_str(v2) = v1) |  ~ (latt_str(v2) = v0))
% 182.28/111.55  | (611)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (one_to_one(v2) = 0 & relation(v2) = 0 & function(v2) = 0 & finite(v2) = 0 & epsilon_connected(v2) = 0 & epsilon_transitive(v2) = 0 & ordinal(v2) = 0 & empty(v2) = 0 & natural(v2) = 0 & element(v2, v1) = 0))
% 182.28/111.55  | (612)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (v4_membered(v2) = v7 & v4_membered(v0) = v3 & v3_membered(v2) = v6 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0))))
% 182.28/111.55  | (613)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (subset_intersection2(v4, v3, v2) = v1) |  ~ (subset_intersection2(v4, v3, v2) = v0))
% 182.28/111.55  | (614)  ? [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)))))))))
% 182.28/111.55  | (615)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v0) = v1) |  ~ (in(v2, v1) = 0) |  ? [v3] : (in(v3, v0) = 0 & in(v2, v3) = 0))
% 182.28/111.55  | (616)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v2, v3) = v4))
% 182.28/111.55  | (617) meet_semilatt_str(all_0_0_0) = 0
% 182.28/111.55  | (618)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | preboolean(v1) = 0)
% 182.28/111.55  | (619)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ? [v3] :  ? [v4] : (relation(v2) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 182.28/111.55  | (620)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2)
% 182.28/111.55  | (621)  ! [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)))
% 182.28/111.55  | (622)  ! [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)))
% 182.28/111.55  | (623)  ! [v0] : ( ~ (finite(v0) = 0) |  ? [v1] :  ? [v2] : (relation_rng(v1) = v0 & relation_dom(v1) = v2 & relation(v1) = 0 & function(v1) = 0 & in(v2, omega) = 0))
% 182.28/111.55  | (624)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_field(v2) = v1) |  ~ (relation_field(v2) = v0))
% 182.28/111.55  | (625)  ! [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)))
% 182.28/111.55  | (626)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = 0 |  ~ (cartesian_product2(v0, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (empty(v0) = v2) |  ? [v5] : ( ! [v6] :  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v7, v8) = v6) |  ~ (in(v8, v7) = 0) |  ~ (in(v6, v4) = 0) |  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : ((v10 = 0 &  ~ (v12 = 0) & ordered_pair(v8, v9) = v11 & in(v11, v1) = v12 & in(v9, v7) = 0) | (v9 = 0 & in(v6, v5) = 0) | ( ~ (v9 = 0) & in(v7, v0) = v9))) &  ! [v6] :  ! [v7] : (v7 = 0 |  ~ (in(v6, v4) = v7) |  ? [v8] : ( ~ (v8 = 0) & in(v6, v5) = v8)) &  ! [v6] :  ! [v7] : ( ~ (in(v6, v4) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v13 = 0 & v12 = v8 & v11 = 0 & v10 = v6 & ordered_pair(v8, v9) = v6 & in(v9, v8) = 0 & in(v8, v0) = 0 &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (ordered_pair(v9, v14) = v15) |  ~ (in(v15, v1) = v16) |  ? [v17] : ( ~ (v17 = 0) & in(v14, v8) = v17))) | ( ~ (v8 = 0) & in(v6, v5) = v8)))))
% 182.28/111.55  | (627)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (complements_of_subsets(v2, v1) = v6 & one_sorted_str(v0) = v5 & ( ~ (v5 = 0) | (v10 = 0 &  ~ (v9 = v8) & in(v7, v6) = 0 & ( ~ (element(v7, v3) = 0) | subset_complement(v2, v7) = v9) & ( ~ (element(v7, v3) = 0) | subset_complement(v2, v7) = v8)) | ( ! [v11] :  ! [v12] :  ! [v13] : (v12 = 0 |  ~ (in(v13, v6) = 0) |  ~ (in(v11, v7) = v12) |  ? [v14] : ( ~ (v14 = v11) & subset_complement(v2, v13) = v14 & element(v13, v3) = 0)) &  ! [v11] : ( ~ (in(v11, v7) = 0) |  ? [v12] : (in(v12, v6) = 0 & ( ~ (element(v12, v3) = 0) | subset_complement(v2, v12) = v11)))))))
% 182.28/111.55  | (628)  ! [v0] :  ! [v1] : ( ~ (topological_space(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (top_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] : ( ~ (element(v5, v4) = 0) |  ? [v6] :  ? [v7] : (closed_subset(v5, v0) = v6 & topstr_closure(v0, v5) = v7 & ( ~ (v7 = v5) |  ~ (v1 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = v5))))))
% 182.28/111.55  | (629)  ! [v0] :  ! [v1] : (v1 = 0 | v0 = empty_set |  ~ (centered(v0) = v1) |  ? [v2] : ( ~ (v2 = empty_set) & set_meet(v2) = empty_set & subset(v2, v0) = 0 & finite(v2) = 0))
% 182.28/111.55  | (630)  ! [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))))))))
% 182.28/111.56  | (631)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = 0 |  ~ (equipotent(v0, v1) = v2) |  ~ (one_to_one(v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_rng(v3) = v7 & relation_dom(v3) = v6 & relation(v3) = v4 & function(v3) = v5 & ( ~ (v7 = v1) |  ~ (v6 = v0) |  ~ (v5 = 0) |  ~ (v4 = 0))))
% 182.28/111.56  | (632)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (subset(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & subset(v1, v0) = v2))
% 182.28/111.56  | (633)  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (subset_complement(v1, v5) = v6) |  ~ (subset_complement(v1, v3) = v4) |  ~ (topstr_closure(v0, v4) = v5) |  ? [v7] :  ? [v8] : (interior(v0, v3) = v8 & element(v3, v2) = v7 & ( ~ (v7 = 0) | v8 = v6)))))
% 182.28/111.56  | (634)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] : (finite(v2) = v4 & finite(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 182.28/111.56  | (635)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (quasi_total(v3, v0, v1) = 0) |  ~ (apply(v3, v2) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_of2_as_subset(v3, v0, v1) = v6 & function(v3) = v5 & in(v2, v0) = v7 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (v7 = 0) | v1 = empty_set |  ~ (relation_composition(v3, v8) = v9) |  ~ (apply(v9, v2) = v10) |  ? [v11] :  ? [v12] :  ? [v13] : (apply(v8, v4) = v13 & relation(v8) = v11 & function(v8) = v12 & ( ~ (v12 = 0) |  ~ (v11 = 0) | v13 = v10))))))
% 182.28/111.56  | (636)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] : (finite(v2) = v4 & finite(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 182.28/111.56  | (637)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v2) |  ~ (element(v1, v2) = 0) |  ? [v3] : (set_difference(v0, v1) = v3 & subset_complement(v0, v1) = v3))
% 182.28/111.56  | (638)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (subset_difference(v4, v3, v2) = v1) |  ~ (subset_difference(v4, v3, v2) = v0))
% 182.28/111.56  | (639)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (well_orders(v3, v2) = v1) |  ~ (well_orders(v3, v2) = v0))
% 182.28/111.56  | (640)  ! [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))))))
% 182.28/111.56  | (641)  ! [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))
% 182.28/111.56  | (642)  ? [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))))
% 182.28/111.56  | (643)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_image(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation(v1) = v3 & function(v1) = v4 & finite(v2) = v6 & finite(v0) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) | v6 = 0)))
% 182.28/111.56  | (644)  ! [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))))
% 182.28/111.56  | (645)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (the_carrier(v0) = v2) |  ~ (cartesian_product2(v1, v5) = v6) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v7] : (( ~ (v7 = 0) & one_sorted_str(v0) = v7) | ( ! [v8] :  ! [v9] :  ! [v10] : ( ~ (ordered_pair(v9, v10) = v8) |  ~ (in(v8, v6) = 0) |  ? [v11] :  ? [v12] :  ? [v13] : ((v12 = 0 & v11 = v9 &  ~ (v13 = v10) & subset_complement(v2, v9) = v13 & element(v9, v3) = 0) | (v11 = 0 & in(v8, v7) = 0) | ( ~ (v11 = 0) & in(v9, v1) = v11))) &  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (in(v8, v6) = v9) |  ? [v10] : ( ~ (v10 = 0) & in(v8, v7) = v10)) &  ! [v8] :  ! [v9] : ( ~ (in(v8, v6) = v9) |  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v13 = 0 & v12 = v8 & ordered_pair(v10, v11) = v8 & in(v10, v1) = 0 & ( ~ (element(v10, v3) = 0) | subset_complement(v2, v10) = v11)) | ( ~ (v10 = 0) & in(v8, v7) = v10))))))
% 182.28/111.56  | (646)  ! [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))))
% 182.28/111.56  | (647)  ! [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))))
% 182.28/111.56  | (648)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (set_intersection2(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 182.28/111.56  | (649)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = empty_set |  ~ (subset_difference(v0, v2, v3) = v4) |  ~ (cast_to_subset(v0) = v2) |  ~ (union_of_subsets(v0, v1) = v3) |  ? [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)))
% 182.28/111.56  | (650)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (complements_of_subsets(v2, v1) = v6 & one_sorted_str(v0) = v5 & ( ~ (v5 = 0) | (v10 = 0 &  ~ (v9 = v8) & in(v7, v6) = 0 & ( ~ (element(v7, v3) = 0) | subset_complement(v2, v7) = v9) & ( ~ (element(v7, v3) = 0) | subset_complement(v2, v7) = v8)) | (v9 = 0 & v8 = 0 & relation(v7) = 0 & function(v7) = 0 &  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = 0 |  ~ (ordered_pair(v11, v12) = v13) |  ~ (in(v13, v7) = v14) |  ? [v15] :  ? [v16] :  ? [v17] : ((v16 = 0 & v15 = v11 &  ~ (v17 = v12) & subset_complement(v2, v11) = v17 & element(v11, v3) = 0) | ( ~ (v15 = 0) & in(v11, v6) = v15))) &  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (ordered_pair(v11, v12) = v13) |  ~ (element(v11, v3) = 0) |  ~ (in(v13, v7) = 0) | subset_complement(v2, v11) = v12) &  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (ordered_pair(v11, v12) = v13) |  ~ (in(v13, v7) = 0) | in(v11, v6) = 0)))))
% 182.28/111.56  | (651)  ! [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)
% 182.28/111.56  | (652)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (closed_subsets(v3, v2) = v1) |  ~ (closed_subsets(v3, v2) = v0))
% 182.28/111.56  | (653)  ! [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))))))
% 182.28/111.56  | (654)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (finite(v2) = v1) |  ~ (finite(v2) = v0))
% 182.28/111.56  | (655)  ! [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)))))
% 182.28/111.56  | (656) relation_empty_yielding(all_0_27_27) = 0
% 182.28/111.56  | (657) relation(all_0_24_24) = 0
% 182.28/111.56  | (658)  ! [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)))
% 182.28/111.57  | (659)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (related(v4, v3, v2) = v1) |  ~ (related(v4, v3, v2) = v0))
% 182.28/111.57  | (660)  ! [v0] :  ! [v1] : ( ~ (the_L_join(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (the_carrier(v0) = v4 & empty_carrier(v0) = v2 & join_semilatt_str(v0) = v3 & ( ~ (v3 = 0) | v2 = 0 |  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (apply_binary_as_element(v4, v4, v4, v1, v5, v6) = v7) |  ~ (element(v5, v4) = 0) |  ? [v8] :  ? [v9] : (join(v0, v5, v6) = v9 & element(v6, v4) = v8 & ( ~ (v8 = 0) | v9 = v7))))))
% 182.28/111.57  | (661)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (empty_carrier_subset(v2) = v1) |  ~ (empty_carrier_subset(v2) = v0))
% 182.28/111.57  | (662)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_inverse_image(v3, v2) = v1) |  ~ (relation_inverse_image(v3, v2) = v0))
% 182.28/111.57  | (663)  ! [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))
% 182.28/111.57  | (664)  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v2) = v3 & ( ~ (v1 = 0) |  ! [v4] : ( ~ (element(v4, v3) = 0) |  ? [v5] : (interior(v0, v4) = v5 & open_subset(v5, v0) = 0)))))
% 182.28/111.57  | (665)  ! [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))))
% 182.28/111.57  | (666)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (complements_of_subsets(v3, v2) = v1) |  ~ (complements_of_subsets(v3, v2) = v0))
% 182.28/111.57  | (667)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (relation(v0) = v1) |  ? [v2] : (in(v2, v0) = 0 &  ! [v3] :  ! [v4] :  ~ (ordered_pair(v3, v4) = v2)))
% 182.28/111.57  | (668)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v2, v1) = v3) |  ~ (set_union2(v0, v1) = v2) | set_difference(v0, v1) = v3)
% 182.28/111.57  | (669)  ! [v0] : (v0 = empty_set |  ~ (subset(v0, empty_set) = 0))
% 182.28/111.57  | (670)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (succ(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (singleton(v0) = v7 & ordinal(v0) = v5 & powerset(v0) = v6 & ( ~ (v5 = 0) | ( ! [v9] :  ! [v10] : (v10 = 0 |  ~ (in(v9, v6) = v10) |  ? [v11] : ( ~ (v11 = 0) & in(v9, v8) = v11)) &  ! [v9] :  ! [v10] : ( ~ (set_difference(v10, v7) = v9) |  ~ (in(v9, v6) = 0) |  ? [v11] : ((v11 = 0 & in(v9, v8) = 0) | ( ~ (v11 = 0) & in(v10, v1) = v11))) &  ! [v9] :  ! [v10] : ( ~ (in(v9, v6) = v10) |  ? [v11] :  ? [v12] :  ? [v13] : ((v13 = v9 & v12 = 0 & set_difference(v11, v7) = v9 & in(v11, v1) = 0) | ( ~ (v11 = 0) & in(v9, v8) = v11)))))))
% 182.28/111.57  | (671)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_of2(v3, v6, v2) = 0) |  ~ (cartesian_product2(v0, v1) = v6) |  ~ (element(v5, v1) = 0) |  ~ (element(v4, v0) = 0) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (apply_binary_as_element(v0, v1, v2, v3, v4, v5) = v11 & quasi_total(v3, v6, v2) = v10 & function(v3) = v9 & empty(v1) = v8 & empty(v0) = v7 & element(v11, v2) = v12 & ( ~ (v10 = 0) |  ~ (v9 = 0) | v12 = 0 | v8 = 0 | v7 = 0)))
% 182.28/111.57  | (672)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 | v1 = empty_set |  ~ (quasi_total(v3, v0, v1) = 0) |  ~ (relation_inverse_image(v3, v2) = v4) |  ~ (in(v5, v4) = v6) |  ? [v7] :  ? [v8] :  ? [v9] : ((relation_of2_as_subset(v3, v0, v1) = v8 & function(v3) = v7 & ( ~ (v8 = 0) |  ~ (v7 = 0))) | (apply(v3, v5) = v8 & in(v8, v2) = v9 & in(v5, v0) = v7 & ( ~ (v9 = 0) |  ~ (v7 = 0)))))
% 182.28/111.57  | (673)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v0) = v3 & empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v2 = 0)))
% 182.28/111.57  | (674) rel_str(all_0_1_1) = 0
% 182.28/111.57  | (675)  ! [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))))))))
% 182.28/111.57  | (676)  ! [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)))
% 182.28/111.57  | (677)  ! [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)))))
% 182.28/111.57  | (678)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v1_membered(v2) = v1) |  ~ (v1_membered(v2) = v0))
% 182.28/111.57  | (679)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (cast_to_subset(v2) = v1) |  ~ (cast_to_subset(v2) = v0))
% 182.28/111.57  | (680)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (the_carrier(v0) = v2) |  ~ (cartesian_product2(v1, v5) = v6) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v7] : (( ~ (v7 = 0) & one_sorted_str(v0) = v7) | ( ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = 0 |  ~ (ordered_pair(v10, v11) = v8) |  ~ (in(v8, v7) = v9) |  ~ (in(v8, v6) = 0) |  ? [v12] :  ? [v13] :  ? [v14] : ((v13 = 0 & v12 = v10 &  ~ (v14 = v11) & subset_complement(v2, v10) = v14 & element(v10, v3) = 0) | ( ~ (v12 = 0) & in(v10, v1) = v12))) &  ! [v8] : ( ~ (in(v8, v7) = 0) |  ? [v9] :  ? [v10] : (ordered_pair(v9, v10) = v8 & in(v9, v1) = 0 & in(v8, v6) = 0 & ( ~ (element(v9, v3) = 0) | subset_complement(v2, v9) = v10))))))
% 182.28/111.57  | (681)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (transitive_relstr(v2) = v1) |  ~ (transitive_relstr(v2) = v0))
% 182.28/111.57  | (682)  ! [v0] : ( ~ (finite(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) | finite(v2) = 0)))
% 182.28/111.57  | (683) relation(all_0_16_16) = 0
% 182.28/111.57  | (684)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (open_subsets(v3, v2) = v1) |  ~ (open_subsets(v3, v2) = v0))
% 182.28/111.57  | (685) epsilon_transitive(omega) = 0
% 182.28/111.57  | (686)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (apply_binary(v3, v4, v5) = v7) |  ~ (relation_of2(v3, v6, v2) = 0) |  ~ (cartesian_product2(v0, v1) = v6) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (apply_binary_as_element(v0, v1, v2, v3, v4, v5) = v14 & quasi_total(v3, v6, v2) = v11 & function(v3) = v10 & empty(v1) = v9 & empty(v0) = v8 & element(v5, v1) = v13 & element(v4, v0) = v12 & ( ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0) | v14 = v7 | v9 = 0 | v8 = 0)))
% 182.28/111.57  | (687)  ! [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))))
% 182.28/111.57  | (688)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (complements_of_subsets(v2, v1) = v6 & one_sorted_str(v0) = v5 & ( ~ (v5 = 0) | (v10 = v6 & v9 = 0 & v8 = 0 & relation_dom(v7) = v6 & relation(v7) = 0 & function(v7) = 0 &  ! [v11] : ( ~ (in(v11, v6) = 0) |  ? [v12] : (apply(v7, v11) = v12 & ( ~ (element(v11, v3) = 0) | subset_complement(v2, v11) = v12)))) | (v10 = 0 &  ~ (v9 = v8) & in(v7, v6) = 0 & ( ~ (element(v7, v3) = 0) | subset_complement(v2, v7) = v9) & ( ~ (element(v7, v3) = 0) | subset_complement(v2, v7) = v8)) | (v8 = 0 & in(v7, v6) = 0 &  ? [v11] :  ? [v12] : ( ~ (v12 = v11) & subset_complement(v2, v7) = v12 & element(v7, v3) = 0)))))
% 182.28/111.57  | (689)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_difference(v3, v2) = v1) |  ~ (set_difference(v3, v2) = v0))
% 182.28/111.57  | (690)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (quasi_total(v2, empty_set, v1) = v3) |  ~ (quasi_total(v2, empty_set, v0) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_of2_as_subset(v2, empty_set, v1) = v7 & relation_of2_as_subset(v2, empty_set, v0) = v5 & subset(v0, v1) = v6 & function(v2) = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) | (v7 = 0 & v3 = 0))))
% 182.28/111.58  | (691)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (equipotent(v0, v2) = 0) |  ~ (relation_field(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : ((v5 = 0 & v4 = 0 & well_orders(v3, v0) = 0 & relation(v3) = 0) | (well_ordering(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0)))))
% 182.28/111.58  | (692)  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] :  ? [v3] :  ? [v4] : (in(v2, v1) = v4 & in(v2, v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0)) & (v4 = 0 | v3 = 0)))
% 182.28/111.58  | (693)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~ (powerset(v2) = v0))
% 182.28/111.58  | (694)  ! [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)))))
% 182.28/111.58  | (695)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = 0 &  ~ (v7 = v6) & in(v5, v1) = 0 & ( ~ (element(v5, v3) = 0) | subset_complement(v2, v5) = v7) & ( ~ (element(v5, v3) = 0) | subset_complement(v2, v5) = v6)) | (v7 = 0 & v6 = 0 & relation(v5) = 0 & function(v5) = 0 &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (ordered_pair(v9, v10) = v11) |  ~ (in(v11, v5) = v12) |  ? [v13] :  ? [v14] :  ? [v15] : ((v14 = 0 & v13 = v9 &  ~ (v15 = v10) & subset_complement(v2, v9) = v15 & element(v9, v3) = 0) | ( ~ (v13 = 0) & in(v9, v1) = v13))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v9, v10) = v11) |  ~ (element(v9, v3) = 0) |  ~ (in(v11, v5) = 0) | subset_complement(v2, v9) = v10) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v9, v10) = v11) |  ~ (in(v11, v5) = 0) | in(v9, v1) = 0)) | ( ~ (v5 = 0) & one_sorted_str(v0) = v5)))
% 182.28/111.58  | (696)  ! [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))))
% 182.28/111.58  | (697)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v1_xcmplx_0(v2) = v1) |  ~ (v1_xcmplx_0(v2) = v0))
% 182.28/111.58  | (698)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (the_carrier(v0) = v2) |  ~ (element(v1, v2) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (topological_space(v0) = v4 & top_str(v0) = v5 & empty_carrier(v0) = v3 & powerset(v2) = v6 & ( ~ (v5 = 0) |  ~ (v4 = 0) | v3 = 0 |  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (element(v7, v6) = v8) |  ? [v9] : ( ~ (v9 = 0) & point_neighbourhood(v7, v0, v1) = v9)))))
% 182.28/111.58  | (699) epsilon_connected(all_0_7_7) = 0
% 182.28/111.58  | (700)  ! [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))))
% 182.28/111.58  | (701) function(all_0_10_10) = 0
% 182.28/111.58  | (702)  ! [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))))))
% 182.28/111.58  | (703)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (antisymmetric_relstr(v2) = v1) |  ~ (antisymmetric_relstr(v2) = v0))
% 182.28/111.58  | (704)  ! [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)))
% 182.28/111.58  | (705)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_L_join(v2) = v1) |  ~ (the_L_join(v2) = v0))
% 182.28/111.58  | (706)  ! [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))))
% 182.28/111.58  | (707)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (topstr_closure(v0, v1) = v4) |  ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] : (top_str(v0) = v6 & element(v1, v3) = v7 & ( ~ (v7 = 0) |  ~ (v6 = 0))))
% 182.28/111.58  | (708)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation(v1) = 0)
% 182.28/111.58  | (709)  ! [v0] : ( ~ (preboolean(v0) = 0) | (cup_closed(v0) = 0 & diff_closed(v0) = 0))
% 182.28/111.58  | (710)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 182.28/111.58  | (711)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (element(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 182.28/111.58  | (712)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (v2_membered(v2) = v5 & v2_membered(v0) = v3 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v5 = 0 & v4 = 0))))
% 182.28/111.58  | (713)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_transitive_in(v3, v2) = v1) |  ~ (is_transitive_in(v3, v2) = v0))
% 182.28/111.58  | (714)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & finite(v3) = 0 & powerset(v0) = v2 & empty(v3) = v4 & element(v3, v2) = 0))
% 182.28/111.58  | (715)  ! [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)))
% 182.28/111.58  | (716)  ! [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)))
% 182.28/111.58  | (717)  ? [v0] :  ? [v1] : (relation_dom(v1) = v0 & relation(v1) = 0 & function(v1) = 0 &  ! [v2] :  ! [v3] : ( ~ (singleton(v2) = v3) |  ? [v4] :  ? [v5] : (apply(v1, v2) = v5 & in(v2, v0) = v4 & ( ~ (v4 = 0) | v5 = v3))))
% 182.28/111.58  | (718)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (v3_membered(v0) = 0) |  ~ (v1_rat_1(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (v1_xreal_0(v1) = v5 & v1_xcmplx_0(v1) = v4 & element(v1, v0) = v3 & ( ~ (v3 = 0) | (v5 = 0 & v4 = 0 & v2 = 0))))
% 182.28/111.58  | (719)  ! [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))
% 182.28/111.58  | (720) top_str(all_0_55_55) = 0
% 182.28/111.58  | (721) v2_membered(empty_set) = 0
% 182.28/111.58  | (722)  ? [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))))
% 182.28/111.58  | (723)  ! [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))))
% 182.28/111.58  | (724)  ! [v0] : ( ~ (v1_membered(v0) = 0) |  ? [v1] : (powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) | v1_membered(v2) = 0)))
% 182.28/111.58  | (725)  ! [v0] : ( ~ (epsilon_connected(v0) = 0) |  ? [v1] :  ? [v2] : (epsilon_transitive(v0) = v1 & ordinal(v0) = v2 & ( ~ (v1 = 0) | v2 = 0)))
% 182.28/111.58  | (726)  ! [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)))
% 182.28/111.58  | (727) ordinal(all_0_14_14) = 0
% 182.28/111.58  | (728)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (in(v1, v2) = 0) |  ~ (in(v0, v1) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v2, v0) = v3))
% 182.28/111.58  | (729) relation(all_0_18_18) = 0
% 182.28/111.58  | (730)  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (subset_complement(v1, v3) = v4) |  ~ (open_subset(v4, v0) = v5) |  ? [v6] :  ? [v7] : (closed_subset(v3, v0) = v7 & element(v3, v2) = v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 = 0)))))))
% 182.28/111.59  | (731) powerset(all_0_57_57) = all_0_56_56
% 182.28/111.59  | (732)  ! [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))
% 182.28/111.59  | (733)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (set_difference(v0, v1) = v2) |  ~ (subset(v2, v0) = v3))
% 182.28/111.59  | (734) epsilon_transitive(all_0_13_13) = 0
% 182.28/111.59  | (735)  ! [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)))
% 182.28/111.59  | (736)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 | v4 = v1 | v4 = v0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ (in(v4, v3) = 0))
% 182.28/111.59  | (737)  ! [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))))
% 182.28/111.59  | (738)  ! [v0] :  ! [v1] : ( ~ (relation(v0) = 0) |  ~ (in(v1, v0) = 0) |  ? [v2] :  ? [v3] : ordered_pair(v2, v3) = v1)
% 182.28/111.59  | (739)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (apply(v2, v1) = v3) |  ~ (identity_relation(v0) = v2) |  ? [v4] : ( ~ (v4 = 0) & in(v1, v0) = v4))
% 182.28/111.59  | (740)  ? [v0] :  ! [v1] : ( ~ (ordinal(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) & in(v1, v0) = v2)))
% 182.28/111.59  | (741)  ! [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))
% 182.28/111.59  | (742)  ! [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))))))))))
% 182.28/111.59  | (743)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty_carrier(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (one_sorted_str(v0) = v2 & the_carrier(v0) = v3 & powerset(v3) = v4 & ( ~ (v2 = 0) |  ! [v5] : ( ~ (element(v5, v4) = 0) |  ? [v6] : (subset_complement(v3, v5) = v6 &  ! [v7] :  ! [v8] : ( ~ (in(v7, v6) = v8) |  ? [v9] :  ? [v10] : (element(v7, v3) = v9 & in(v7, v5) = v10 & ( ~ (v9 = 0) | (( ~ (v10 = 0) |  ~ (v8 = 0)) & (v10 = 0 | v8 = 0))))))))))
% 182.28/111.59  | (744)  ? [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))
% 182.28/111.59  | (745)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_dom(v1) = v0)
% 182.28/111.59  | (746)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = empty_set |  ~ (meet_of_subsets(v0, v1) = v3) |  ~ (subset_difference(v0, v2, v3) = v4) |  ~ (cast_to_subset(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (complements_of_subsets(v0, v1) = v8 & union_of_subsets(v0, v8) = v9 & powerset(v5) = v6 & powerset(v0) = v5 & element(v1, v6) = v7 & ( ~ (v7 = 0) | v9 = v4)))
% 182.28/111.59  | (747)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_InternalRel(v0) = v1) |  ~ (is_antisymmetric_in(v1, v2) = v3) |  ~ (the_carrier(v0) = v2) |  ? [v4] :  ? [v5] : (antisymmetric_relstr(v0) = v5 & rel_str(v0) = v4 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v3 = 0) & ( ~ (v3 = 0) | v5 = 0)))))
% 182.28/111.59  | (748)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v4_membered(v2) = v1) |  ~ (v4_membered(v2) = v0))
% 182.28/111.59  | (749)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] : ((topological_space(v0) = v4 & top_str(v0) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0))) | ( ! [v6] :  ! [v7] : ( ~ (in(v6, v3) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (subset(v1, v6) = v9 & in(v6, v4) = v8 & ( ~ (v8 = 0) | (v12 = 0 & v11 = 0 & v10 = v6 & v9 = 0 & v7 = 0 & closed_subset(v6, v0) = 0 & element(v6, v3) = 0)))) &  ! [v6] : ( ~ (in(v6, v3) = 0) |  ? [v7] :  ? [v8] : (subset(v1, v6) = v7 & in(v6, v4) = v8 & ( ~ (v7 = 0) | v8 = 0 |  ~ (element(v6, v3) = 0) |  ? [v9] : ( ~ (v9 = 0) & closed_subset(v6, v0) = v9)))))))
% 182.28/111.59  | (750)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3))
% 182.28/111.59  | (751)  ~ (all_0_25_25 = 0)
% 182.28/111.59  | (752)  ? [v0] :  ? [v1] :  ? [v2] : relation_of2(v2, v0, v1) = 0
% 182.28/111.59  | (753)  ? [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)))))))))
% 182.28/111.59  | (754)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (v5_membered(v2) = v8 & v5_membered(v0) = v3 & v4_membered(v2) = v7 & v3_membered(v2) = v6 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0))))
% 182.28/111.59  | (755)  ~ (all_0_28_28 = 0)
% 182.28/111.59  | (756)  ! [v0] :  ! [v1] : ( ~ (proper_subset(v0, v1) = 0) | subset(v0, v1) = 0)
% 182.28/111.59  | (757) latt_str(all_0_5_5) = 0
% 182.28/111.59  | (758)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_image(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation(v0) = v3 & function(v0) = v4 & finite(v2) = v6 & finite(v1) = v5 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) | v6 = 0)))
% 182.28/111.59  | (759)  ! [v0] : ( ~ (latt_str(v0) = 0) | (meet_semilatt_str(v0) = 0 & join_semilatt_str(v0) = 0))
% 182.28/111.59  | (760)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2)
% 182.28/111.59  | (761)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v1_rat_1(v2) = v1) |  ~ (v1_rat_1(v2) = v0))
% 182.28/111.59  | (762)  ! [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)))))
% 182.28/111.59  | (763)  ! [v0] : (v0 = empty_set |  ~ (set_meet(empty_set) = v0))
% 182.28/111.59  | (764)  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (the_carrier(v0) = v1 & powerset(v2) = v3 & powerset(v1) = v2 &  ! [v4] : ( ~ (element(v4, v3) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (open_subsets(v4, v0) = v5 & ( ~ (v5 = 0) |  ! [v10] : ( ~ (element(v10, v2) = 0) |  ? [v11] :  ? [v12] : (open_subset(v10, v0) = v12 & in(v10, v4) = v11 & ( ~ (v11 = 0) | v12 = 0)))) & (v5 = 0 | (v8 = 0 & v7 = 0 &  ~ (v9 = 0) & open_subset(v6, v0) = v9 & element(v6, v2) = 0 & in(v6, v4) = 0))))))
% 182.28/111.60  | (765) epsilon_transitive(all_0_7_7) = 0
% 182.28/111.60  | (766)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (top_str(v2) = v1) |  ~ (top_str(v2) = v0))
% 182.28/111.60  | (767)  ! [v0] : ( ~ (rel_str(v0) = 0) | one_sorted_str(v0) = 0)
% 182.28/111.60  | (768) function(empty_set) = 0
% 182.28/111.60  | (769)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (subset(v1, v0) = v2) |  ~ (epsilon_transitive(v0) = 0) |  ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3))
% 182.28/111.60  | (770)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v1) = v3) |  ~ (singleton(v0) = v2) |  ~ (subset(v2, v3) = 0))
% 182.28/111.60  | (771)  ! [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))))
% 182.28/111.60  | (772)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (empty(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation_dom(v0) = v3 & relation(v0) = v2 & empty(v3) = v4 & ( ~ (v4 = 0) |  ~ (v2 = 0))))
% 182.28/111.60  | (773)  ? [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))))
% 182.28/111.60  | (774) relation(all_0_21_21) = 0
% 182.28/111.60  | (775)  ~ (all_0_49_49 = 0)
% 182.28/111.60  | (776) empty(all_0_15_15) = 0
% 182.28/111.60  | (777)  ! [v0] :  ! [v1] : ( ~ (unordered_pair(v0, v0) = v1) | singleton(v0) = v1)
% 182.28/111.60  | (778) epsilon_connected(all_0_19_19) = 0
% 182.28/111.60  | (779)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (powerset(v1) = v2) |  ~ (element(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 182.28/111.60  | (780) relation(all_0_30_30) = 0
% 182.28/111.60  | (781)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (is_well_founded_in(v0, v1) = 0) |  ~ (subset(v2, v1) = 0) |  ~ (relation(v0) = 0) |  ? [v3] :  ? [v4] : (fiber(v0, v3) = v4 & disjoint(v4, v2) = 0 & in(v3, v2) = 0))
% 182.28/111.60  | (782)  ! [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)))
% 182.28/111.60  | (783)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4))
% 182.28/111.60  | (784)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (powerset(v2) = v3) |  ~ (powerset(v0) = v2) |  ~ (element(v1, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : (meet_of_subsets(v0, v4) = v5 & complements_of_subsets(v0, v1) = v4 & subset_complement(v0, v6) = v5 & union_of_subsets(v0, v1) = v6))
% 182.28/111.60  | (785)  ! [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))
% 182.28/111.60  | (786)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (is_reflexive_in(v3, v2) = v1) |  ~ (is_reflexive_in(v3, v2) = v0))
% 182.28/111.60  | (787) empty(all_0_17_17) = 0
% 182.28/111.60  | (788)  ! [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)))))
% 182.28/111.60  | (789)  ! [v0] : ( ~ (join_semilatt_str(v0) = 0) | one_sorted_str(v0) = 0)
% 182.28/111.60  | (790)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ (relation(v1) = 0) |  ~ (in(v4, v1) = 0))
% 182.28/111.60  | (791)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (the_carrier(v0) = v3) |  ~ (join_commut(v0, v1, v2) = v4) |  ~ (element(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (empty_carrier(v0) = v6 & join_commutative(v0) = v7 & join_semilatt_str(v0) = v8 & element(v2, v3) = v10 & element(v1, v3) = v9 & ( ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v6 = 0)))
% 182.28/111.60  | (792)  ! [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))))))
% 182.28/111.60  | (793)  ! [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))
% 182.28/111.60  | (794)  ! [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)))))
% 182.28/111.60  | (795)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v3) |  ~ (element(v2, v3) = 0) |  ~ (element(v1, v3) = 0) |  ? [v4] : (subset_intersection2(v0, v1, v2) = v4 & set_intersection2(v1, v2) = v4))
% 182.28/111.60  | (796)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ (element(v0, v2) = 0) | subset(v0, v1) = 0)
% 182.28/111.60  | (797)  ! [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))
% 182.28/111.60  | (798)  ? [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))))
% 182.28/111.60  | (799)  ! [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)))))
% 182.28/111.60  | (800)  ! [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)))
% 182.28/111.60  | (801)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = 0 |  ~ (relation_rng(v2) = v0) |  ~ (finite(v0) = v1) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (relation_dom(v2) = v5 & relation(v2) = v3 & function(v2) = v4 & in(v5, omega) = v6 & ( ~ (v6 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))))
% 182.28/111.60  | (802)  ! [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)))
% 182.28/111.60  | (803)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset(v3, v2) = 0) |  ~ (unordered_pair(v0, v1) = v3) | (in(v1, v2) = 0 & in(v0, v2) = 0))
% 182.28/111.60  | (804) empty(all_0_7_7) = all_0_6_6
% 182.28/111.60  | (805) element(all_0_51_51, all_0_52_52) = 0
% 182.28/111.60  | (806)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (the_topology(v0) = v2) |  ~ (the_carrier(v0) = v1) |  ~ (in(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (topological_space(v0) = v5 & top_str(v0) = v4 & powerset(v6) = v7 & powerset(v1) = v6 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | (v3 = 0 &  ! [v16] : ( ~ (element(v16, v7) = 0) |  ? [v17] :  ? [v18] :  ? [v19] : (union_of_subsets(v1, v16) = v18 & subset(v16, v2) = v17 & in(v18, v2) = v19 & ( ~ (v17 = 0) | v19 = 0))) &  ! [v16] : ( ~ (element(v16, v6) = 0) |  ? [v17] : (in(v16, v2) = v17 &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (v17 = 0) | v20 = 0 |  ~ (subset_intersection2(v1, v16, v18) = v19) |  ~ (in(v19, v2) = v20) |  ? [v21] :  ? [v22] : (element(v18, v6) = v21 & in(v18, v2) = v22 & ( ~ (v22 = 0) |  ~ (v21 = 0)))))))) & ( ~ (v3 = 0) | v5 = 0 | (v13 = 0 & v12 = 0 & v10 = 0 & v9 = 0 &  ~ (v15 = 0) & subset_intersection2(v1, v8, v11) = v14 & element(v11, v6) = 0 & element(v8, v6) = 0 & in(v14, v2) = v15 & in(v11, v2) = 0 & in(v8, v2) = 0) | (v10 = 0 & v9 = 0 &  ~ (v12 = 0) & union_of_subsets(v1, v8) = v11 & subset(v8, v2) = 0 & element(v8, v7) = 0 & in(v11, v2) = v12))))))
% 182.28/111.61  | (807)  ! [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))))
% 182.28/111.61  | (808)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (v4_membered(v2) = v7 & v4_membered(v0) = v3 & v3_membered(v2) = v6 & v2_membered(v2) = v5 & v1_membered(v2) = v4 & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0))))
% 182.28/111.61  | (809)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (cast_as_carrier_subset(v0) = v1) |  ~ (closed_subset(v1, v0) = v2) |  ? [v3] :  ? [v4] : (topological_space(v0) = v3 & top_str(v0) = v4 & ( ~ (v4 = 0) |  ~ (v3 = 0))))
% 182.28/111.61  | (810)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_inverse(v2) = v1) |  ~ (relation_inverse(v2) = v0))
% 182.28/111.61  | (811)  ! [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))
% 182.28/111.61  | (812)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (function(v0) = v1) |  ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2))
% 182.28/111.61  | (813)  ! [v0] :  ! [v1] : ( ~ (disjoint(v0, v1) = 0) |  ? [v2] : (set_intersection2(v0, v1) = v2 &  ! [v3] :  ~ (in(v3, v2) = 0)))
% 182.28/111.61  | (814)  ? [v0] :  ? [v1] : ( ! [v2] :  ! [v3] : ( ~ (ordinal(v2) = v3) |  ? [v4] :  ? [v5] : ((v5 = 0 & v4 = v2 & v3 = 0 & in(v2, v0) = 0) | ( ~ (v4 = 0) & in(v2, v1) = v4))) &  ! [v2] : ( ~ (ordinal(v2) = 0) |  ~ (in(v2, v0) = 0) | in(v2, v1) = 0))
% 182.28/111.61  | (815)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (v4_membered(v0) = 0) |  ~ (v1_int_1(v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (v1_rat_1(v1) = v6 & v1_xreal_0(v1) = v5 & v1_xcmplx_0(v1) = v4 & element(v1, v0) = v3 & ( ~ (v3 = 0) | (v6 = 0 & v5 = 0 & v4 = 0 & v2 = 0))))
% 182.28/111.61  | (816)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (well_ordering(v2) = v1) |  ~ (well_ordering(v2) = v0))
% 182.28/111.61  | (817)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = empty_set |  ~ (quasi_total(v3, v0, v1) = 0) |  ~ (relation_inverse_image(v3, v2) = v4) |  ~ (in(v5, v4) = 0) |  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = 0 & v6 = 0 & apply(v3, v5) = v7 & in(v7, v2) = 0 & in(v5, v0) = 0) | (relation_of2_as_subset(v3, v0, v1) = v7 & function(v3) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0)))))
% 182.65/111.61  | (818)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (v5_membered(v2) = v1) |  ~ (v5_membered(v2) = v0))
% 182.65/111.61  | (819)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (singleton(v2) = v1) |  ~ (singleton(v2) = v0))
% 182.65/111.61  | (820)  ! [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)))))))))))
% 182.65/111.61  | (821)  ? [v0] :  ? [v1] :  ? [v2] : (relation_of2(v2, v0, v1) = 0 & quasi_total(v2, v0, v1) = 0 & relation(v2) = 0 & function(v2) = 0)
% 182.65/111.61  | (822)  ~ (all_0_8_8 = 0)
% 182.65/111.61  | (823)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (cast_as_carrier_subset(v0) = v7 & topological_space(v0) = v5 & top_str(v0) = v6 & ( ~ (v6 = 0) |  ~ (v5 = 0) | ( ! [v9] :  ! [v10] :  ! [v11] : ( ~ (set_difference(v7, v9) = v10) |  ~ (in(v10, v1) = v11) |  ? [v12] :  ? [v13] : (in(v9, v8) = v12 & in(v9, v3) = v13 & ( ~ (v12 = 0) | (v13 = 0 & v11 = 0)))) &  ! [v9] :  ! [v10] : ( ~ (set_difference(v7, v9) = v10) |  ~ (in(v10, v1) = 0) |  ? [v11] :  ? [v12] : (in(v9, v8) = v12 & in(v9, v3) = v11 & ( ~ (v11 = 0) | v12 = 0)))))))
% 182.65/111.61  | (824)  ! [v0] : ( ~ (topological_space(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (top_str(v0) = v1 & the_carrier(v0) = v2 & powerset(v2) = v3 & ( ~ (v1 = 0) | (v6 = 0 & v5 = 0 & open_subset(v4, v0) = 0 & element(v4, v3) = 0))))
% 182.65/111.61  | (825)  ! [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))))
% 182.65/111.61  | (826)  ! [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)))
% 182.65/111.61  | (827)  ! [v0] : (v0 = omega |  ~ (in(empty_set, v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ((v4 = 0 & v3 = 0 & v2 = 0 &  ~ (v5 = 0) & being_limit_ordinal(v1) = 0 & subset(v0, v1) = v5 & ordinal(v1) = 0 & in(empty_set, v1) = 0) | (being_limit_ordinal(v0) = v1 & ordinal(v0) = v2 & ( ~ (v2 = 0) |  ~ (v1 = 0)))))
% 182.65/111.61  | (828)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (the_carrier(v0) = v2) |  ~ (powerset(v3) = v4) |  ~ (powerset(v2) = v3) |  ~ (element(v1, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = v1 & v7 = 0 & v6 = 0 & relation_dom(v5) = v1 & relation(v5) = 0 & function(v5) = 0 &  ! [v9] :  ! [v10] : ( ~ (apply(v5, v9) = v10) |  ~ (element(v9, v3) = 0) |  ? [v11] : ((v11 = v10 & subset_complement(v2, v9) = v10) | ( ~ (v11 = 0) & in(v9, v1) = v11)))) | (v8 = 0 &  ~ (v7 = v6) & in(v5, v1) = 0 & ( ~ (element(v5, v3) = 0) | subset_complement(v2, v5) = v7) & ( ~ (element(v5, v3) = 0) | subset_complement(v2, v5) = v6)) | (v6 = 0 & in(v5, v1) = 0 &  ? [v9] :  ? [v10] : ( ~ (v10 = v9) & subset_complement(v2, v5) = v10 & element(v5, v3) = 0)) | ( ~ (v5 = 0) & one_sorted_str(v0) = v5)))
% 182.65/111.61  | (829)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (meet(v4, v3, v2) = v1) |  ~ (meet(v4, v3, v2) = v0))
% 182.65/111.61  | (830) one_to_one(empty_set) = 0
% 182.65/111.61  | (831)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (are_equipotent(v3, v2) = v1) |  ~ (are_equipotent(v3, v2) = v0))
% 182.65/111.61  | (832)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset_complement(v3, v2) = v1) |  ~ (subset_complement(v3, v2) = v0))
% 182.65/111.61  | (833)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0))))
% 182.65/111.61  |
% 182.65/111.61  | Instantiating formula (570) with all_0_55_55 and discharging atoms topological_space(all_0_55_55) = 0, yields:
% 182.65/111.62  | (834)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (top_str(all_0_55_55) = v1 & the_carrier(all_0_55_55) = v2 & empty_carrier(all_0_55_55) = v0 & powerset(v2) = v3 & ( ~ (v1 = 0) | v0 = 0 | (v7 = 0 & v5 = 0 &  ~ (v6 = 0) & closed_subset(v4, all_0_55_55) = 0 & empty(v4) = v6 & element(v4, v3) = 0)))
% 182.65/111.62  |
% 182.65/111.62  | Instantiating formula (298) with all_0_55_55 and discharging atoms topological_space(all_0_55_55) = 0, yields:
% 182.65/111.62  | (835)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (top_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v1) = v2 & ( ~ (v0 = 0) | (v6 = 0 & v5 = 0 & v4 = 0 & closed_subset(v3, all_0_55_55) = 0 & open_subset(v3, all_0_55_55) = 0 & element(v3, v2) = 0)))
% 182.65/111.62  |
% 182.65/111.62  | Instantiating formula (289) with all_0_55_55 and discharging atoms topological_space(all_0_55_55) = 0, yields:
% 182.65/111.62  | (836)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (top_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v1) = v2 & ( ~ (v0 = 0) | (v5 = 0 & v4 = 0 & closed_subset(v3, all_0_55_55) = 0 & element(v3, v2) = 0)))
% 182.65/111.62  |
% 182.65/111.62  | Instantiating formula (824) with all_0_55_55 and discharging atoms topological_space(all_0_55_55) = 0, yields:
% 182.65/111.62  | (837)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (top_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v1) = v2 & ( ~ (v0 = 0) | (v5 = 0 & v4 = 0 & open_subset(v3, all_0_55_55) = 0 & element(v3, v2) = 0)))
% 182.65/111.62  |
% 182.65/111.62  | Instantiating formula (306) with all_0_55_55 and discharging atoms topological_space(all_0_55_55) = 0, yields:
% 182.65/111.62  | (838)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (top_str(all_0_55_55) = v1 & the_carrier(all_0_55_55) = v2 & empty_carrier(all_0_55_55) = v0 & powerset(v2) = v3 & ( ~ (v1 = 0) | v0 = 0 |  ! [v4] :  ! [v5] : ( ~ (element(v5, v3) = 0) |  ~ (element(v4, v2) = 0) |  ? [v6] :  ? [v7] :  ? [v8] : (point_neighbourhood(v5, all_0_55_55, v4) = v6 & interior(all_0_55_55, v5) = v7 & in(v4, v7) = v8 & ( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0)))))
% 182.65/111.62  |
% 182.65/111.62  | Instantiating formula (191) with all_0_55_55 and discharging atoms topological_space(all_0_55_55) = 0, yields:
% 182.65/111.62  | (839)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (top_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v2) = v3 & powerset(v1) = v2 & ( ~ (v0 = 0) |  ! [v4] : ( ~ (element(v4, v3) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v7 = 0 & v6 = 0 &  ~ (v8 = 0) & closed_subset(v5, all_0_55_55) = v8 & element(v5, v2) = 0 & in(v5, v4) = 0) | (v6 = 0 & meet_of_subsets(v1, v4) = v5 & closed_subset(v5, all_0_55_55) = 0)))))
% 182.65/111.62  |
% 182.65/111.62  | Instantiating formula (406) with all_0_55_55 and discharging atoms topological_space(all_0_55_55) = 0, yields:
% 182.65/111.62  | (840)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (top_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v2) = v3 & powerset(v1) = v2 & ( ~ (v0 = 0) |  ! [v4] : ( ~ (element(v4, v2) = 0) |  ? [v5] :  ? [v6] : (meet_of_subsets(v1, v6) = v5 & topstr_closure(all_0_55_55, v4) = v5 & element(v6, v3) = 0 &  ! [v7] : ( ~ (element(v7, v2) = 0) |  ? [v8] :  ? [v9] :  ? [v10] : (closed_subset(v7, all_0_55_55) = v9 & subset(v4, v7) = v10 & in(v7, v6) = v8 & ( ~ (v10 = 0) |  ~ (v9 = 0) | v8 = 0) & ( ~ (v8 = 0) | (v10 = 0 & v9 = 0))))))))
% 182.65/111.62  |
% 182.65/111.62  | Instantiating formula (236) with all_0_55_55 and discharging atoms topological_space(all_0_55_55) = 0, yields:
% 182.65/111.62  | (841)  ? [v0] :  ? [v1] :  ? [v2] : (top_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v1) = v2 & ( ~ (v0 = 0) |  ! [v3] : ( ~ (top_str(v3) = 0) |  ? [v4] :  ? [v5] : (the_carrier(v3) = v4 & powerset(v4) = v5 &  ! [v6] : ( ~ (element(v6, v2) = 0) |  ? [v7] :  ? [v8] : (interior(all_0_55_55, v6) = v7 & open_subset(v6, all_0_55_55) = v8 &  ! [v9] : ( ~ (v7 = v6) | v8 = 0 |  ~ (element(v9, v5) = 0)) &  ! [v9] : ( ~ (element(v9, v5) = 0) |  ? [v10] :  ? [v11] : (interior(v3, v9) = v11 & open_subset(v9, v3) = v10 & ( ~ (v10 = 0) | v11 = v9)))))))))
% 182.65/111.62  |
% 182.65/111.62  | Instantiating formula (664) with all_0_55_55 and discharging atoms topological_space(all_0_55_55) = 0, yields:
% 182.65/111.62  | (842)  ? [v0] :  ? [v1] :  ? [v2] : (top_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v1) = v2 & ( ~ (v0 = 0) |  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] : (interior(all_0_55_55, v3) = v4 & open_subset(v4, all_0_55_55) = 0))))
% 182.65/111.62  |
% 182.65/111.62  | Instantiating formula (628) with 0, all_0_55_55 and discharging atoms topological_space(all_0_55_55) = 0, yields:
% 182.65/111.62  | (843)  ? [v0] :  ? [v1] :  ? [v2] : (top_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v1) = v2 & ( ~ (v0 = 0) |  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] :  ? [v5] : (closed_subset(v3, all_0_55_55) = v4 & topstr_closure(all_0_55_55, v3) = v5 & ( ~ (v5 = v3) | v4 = 0) & ( ~ (v4 = 0) | v5 = v3)))))
% 182.65/111.62  |
% 182.65/111.62  | Instantiating formula (251) with all_0_55_55 and discharging atoms top_str(all_0_55_55) = 0, yields:
% 182.65/111.62  | (844)  ? [v0] :  ? [v1] :  ? [v2] : (the_carrier(all_0_55_55) = v0 & powerset(v1) = v2 & powerset(v0) = v1 &  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (closed_subsets(v3, all_0_55_55) = v4 & ( ~ (v4 = 0) |  ! [v9] : ( ~ (element(v9, v1) = 0) |  ? [v10] :  ? [v11] : (closed_subset(v9, all_0_55_55) = v11 & in(v9, v3) = v10 & ( ~ (v10 = 0) | v11 = 0)))) & (v4 = 0 | (v7 = 0 & v6 = 0 &  ~ (v8 = 0) & closed_subset(v5, all_0_55_55) = v8 & element(v5, v1) = 0 & in(v5, v3) = 0)))))
% 182.65/111.62  |
% 182.65/111.62  | Instantiating formula (764) with all_0_55_55 and discharging atoms top_str(all_0_55_55) = 0, yields:
% 182.65/111.62  | (845)  ? [v0] :  ? [v1] :  ? [v2] : (the_carrier(all_0_55_55) = v0 & powerset(v1) = v2 & powerset(v0) = v1 &  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (open_subsets(v3, all_0_55_55) = v4 & ( ~ (v4 = 0) |  ! [v9] : ( ~ (element(v9, v1) = 0) |  ? [v10] :  ? [v11] : (open_subset(v9, all_0_55_55) = v11 & in(v9, v3) = v10 & ( ~ (v10 = 0) | v11 = 0)))) & (v4 = 0 | (v7 = 0 & v6 = 0 &  ~ (v8 = 0) & open_subset(v5, all_0_55_55) = v8 & element(v5, v1) = 0 & in(v5, v3) = 0)))))
% 182.65/111.62  |
% 182.65/111.62  | Instantiating formula (304) with all_0_55_55 and discharging atoms top_str(all_0_55_55) = 0, yields:
% 182.65/111.62  | (846)  ? [v0] :  ? [v1] :  ? [v2] : (the_carrier(all_0_55_55) = v0 & powerset(v1) = v2 & powerset(v0) = v1 &  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : (complements_of_subsets(v0, v3) = v5 & closed_subsets(v5, all_0_55_55) = v6 & open_subsets(v3, all_0_55_55) = v4 & ( ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | v6 = 0))))
% 182.65/111.62  |
% 182.65/111.62  | Instantiating formula (282) with all_0_55_55 and discharging atoms top_str(all_0_55_55) = 0, yields:
% 182.65/111.62  | (847)  ? [v0] :  ? [v1] :  ? [v2] : (the_carrier(all_0_55_55) = v0 & powerset(v1) = v2 & powerset(v0) = v1 &  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : (complements_of_subsets(v0, v3) = v5 & closed_subsets(v3, all_0_55_55) = v4 & open_subsets(v5, all_0_55_55) = v6 & ( ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | v6 = 0))))
% 182.65/111.62  |
% 182.65/111.63  | Instantiating formula (633) with all_0_55_55 and discharging atoms top_str(all_0_55_55) = 0, yields:
% 182.65/111.63  | (848)  ? [v0] :  ? [v1] : (the_carrier(all_0_55_55) = v0 & powerset(v0) = v1 &  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (subset_complement(v0, v4) = v5) |  ~ (subset_complement(v0, v2) = v3) |  ~ (topstr_closure(all_0_55_55, v3) = v4) |  ? [v6] :  ? [v7] : (interior(all_0_55_55, v2) = v7 & element(v2, v1) = v6 & ( ~ (v6 = 0) | v7 = v5))))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (190) with all_0_55_55 and discharging atoms top_str(all_0_55_55) = 0, yields:
% 182.65/111.63  | (849)  ? [v0] :  ? [v1] : (the_carrier(all_0_55_55) = v0 & powerset(v0) = v1 &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (closed_subset(v3, all_0_55_55) = v4) |  ~ (subset_complement(v0, v2) = v3) |  ? [v5] :  ? [v6] : (open_subset(v2, all_0_55_55) = v6 & element(v2, v1) = v5 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | v6 = 0))))))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (730) with all_0_55_55 and discharging atoms top_str(all_0_55_55) = 0, yields:
% 182.65/111.63  | (850)  ? [v0] :  ? [v1] : (the_carrier(all_0_55_55) = v0 & powerset(v0) = v1 &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (subset_complement(v0, v2) = v3) |  ~ (open_subset(v3, all_0_55_55) = v4) |  ? [v5] :  ? [v6] : (closed_subset(v2, all_0_55_55) = v6 & element(v2, v1) = v5 & ( ~ (v5 = 0) | (( ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | v6 = 0))))))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (291) with all_0_55_55 and discharging atoms top_str(all_0_55_55) = 0, yields:
% 182.65/111.63  | (851)  ? [v0] :  ? [v1] : (the_carrier(all_0_55_55) = v0 & powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) |  ? [v3] : (interior(all_0_55_55, v2) = v3 & subset(v3, v2) = 0)))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (375) with all_0_55_55 and discharging atoms top_str(all_0_55_55) = 0, yields:
% 182.65/111.63  | (852)  ? [v0] :  ? [v1] : (the_carrier(all_0_55_55) = v0 & powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) |  ? [v3] : (topstr_closure(all_0_55_55, v2) = v3 & subset(v2, v3) = 0)))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (449) with all_0_55_55 and discharging atoms top_str(all_0_55_55) = 0, yields:
% 182.65/111.63  | (853)  ? [v0] :  ? [v1] : (the_carrier(all_0_55_55) = v0 & powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) |  ? [v3] : (topstr_closure(all_0_55_55, v2) = v3 &  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (in(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v9 = 0 & v8 = 0 & v7 = 0 &  ~ (v10 = 0) & closed_subset(v6, all_0_55_55) = 0 & subset(v2, v6) = 0 & element(v6, v1) = 0 & in(v4, v6) = v10) | ( ~ (v6 = 0) & in(v4, v0) = v6))) &  ! [v4] :  ! [v5] : ( ~ (element(v5, v1) = 0) |  ~ (in(v4, v3) = 0) |  ? [v6] :  ? [v7] :  ? [v8] : (( ~ (v6 = 0) & in(v4, v0) = v6) | (closed_subset(v5, all_0_55_55) = v6 & subset(v2, v5) = v7 & in(v4, v5) = v8 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v8 = 0)))))))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (391) with all_0_55_55 and discharging atoms top_str(all_0_55_55) = 0, yields:
% 182.65/111.63  | (854)  ? [v0] :  ? [v1] : (the_carrier(all_0_55_55) = v0 & powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, v1) = 0) |  ? [v3] : (topstr_closure(all_0_55_55, v2) = v3 &  ! [v4] : (v4 = v3 |  ~ (element(v4, v1) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (in(v5, v4) = v6 & in(v5, v0) = 0 & ( ~ (v6 = 0) | (v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & open_subset(v7, all_0_55_55) = 0 & disjoint(v2, v7) = 0 & element(v7, v1) = 0 & in(v5, v7) = 0)) & (v6 = 0 |  ! [v12] : ( ~ (element(v12, v1) = 0) |  ? [v13] :  ? [v14] :  ? [v15] : (open_subset(v12, all_0_55_55) = v13 & disjoint(v2, v12) = v15 & in(v5, v12) = v14 & ( ~ (v15 = 0) |  ~ (v14 = 0) |  ~ (v13 = 0))))))) &  ! [v4] : ( ~ (element(v3, v1) = 0) |  ~ (in(v4, v0) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (in(v4, v3) = v5 & ( ~ (v5 = 0) |  ! [v11] : ( ~ (element(v11, v1) = 0) |  ? [v12] :  ? [v13] :  ? [v14] : (open_subset(v11, all_0_55_55) = v12 & disjoint(v2, v11) = v14 & in(v4, v11) = v13 & ( ~ (v14 = 0) |  ~ (v13 = 0) |  ~ (v12 = 0))))) & (v5 = 0 | (v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0 & open_subset(v6, all_0_55_55) = 0 & disjoint(v2, v6) = 0 & element(v6, v1) = 0 & in(v4, v6) = 0)))))))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (471) with all_0_54_54, all_0_55_55 and discharging atoms empty_carrier(all_0_55_55) = all_0_54_54, yields:
% 182.65/111.63  | (855) all_0_54_54 = 0 |  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (one_sorted_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v1) = v2 & ( ~ (v0 = 0) | (v4 = 0 &  ~ (v5 = 0) & empty(v3) = v5 & element(v3, v2) = 0)))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (409) with all_0_54_54, all_0_55_55 and discharging atoms empty_carrier(all_0_55_55) = all_0_54_54, yields:
% 182.65/111.63  | (856) all_0_54_54 = 0 |  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (one_sorted_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v2) = v3 & powerset(v1) = v2 & ( ~ (v0 = 0) |  ~ (element(empty_set, v3) = 0) |  ? [v4] : ( ~ (v4 = 0) & is_a_cover_of_carrier(all_0_55_55, empty_set) = v4)))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (743) with all_0_54_54, all_0_55_55 and discharging atoms empty_carrier(all_0_55_55) = all_0_54_54, yields:
% 182.65/111.63  | (857) all_0_54_54 = 0 |  ? [v0] :  ? [v1] :  ? [v2] : (one_sorted_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v1) = v2 & ( ~ (v0 = 0) |  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] : (subset_complement(v1, v3) = v4 &  ! [v5] :  ! [v6] : ( ~ (in(v5, v4) = v6) |  ? [v7] :  ? [v8] : (element(v5, v1) = v7 & in(v5, v3) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) |  ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))))))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (259) with all_0_54_54, all_0_55_55 and discharging atoms empty_carrier(all_0_55_55) = all_0_54_54, yields:
% 182.65/111.63  | (858) all_0_54_54 = 0 |  ? [v0] :  ? [v1] :  ? [v2] : (one_sorted_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & empty(v1) = v2 & ( ~ (v2 = 0) |  ~ (v0 = 0)))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (293) with all_0_54_54, all_0_55_55 and discharging atoms empty_carrier(all_0_55_55) = all_0_54_54, yields:
% 182.65/111.63  | (859)  ? [v0] :  ? [v1] :  ? [v2] : (one_sorted_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & empty(v1) = v2 & ( ~ (v0 = 0) | (( ~ (v2 = 0) | all_0_54_54 = 0) & ( ~ (all_0_54_54 = 0) | v2 = 0))))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (310) with all_0_53_53, all_0_50_50, all_0_50_50, all_0_55_55 and discharging atoms the_carrier(all_0_55_55) = all_0_53_53, element(all_0_50_50, all_0_53_53) = 0, yields:
% 182.65/111.63  | (860)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (meet(all_0_55_55, all_0_50_50, all_0_50_50) = v4 & meet_commutative(all_0_55_55) = v1 & meet_semilatt_str(all_0_55_55) = v2 & meet_commut(all_0_55_55, all_0_50_50, all_0_50_50) = v3 & empty_carrier(all_0_55_55) = v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (422) with all_0_53_53, all_0_50_50, all_0_50_50, all_0_55_55 and discharging atoms the_carrier(all_0_55_55) = all_0_53_53, element(all_0_50_50, all_0_53_53) = 0, yields:
% 182.65/111.63  | (861)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (join(all_0_55_55, all_0_50_50, all_0_50_50) = v4 & empty_carrier(all_0_55_55) = v0 & join_commutative(all_0_55_55) = v1 & join_semilatt_str(all_0_55_55) = v2 & join_commut(all_0_55_55, all_0_50_50, all_0_50_50) = v3 & ( ~ (v2 = 0) |  ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (350) with all_0_53_53, all_0_50_50, all_0_50_50, all_0_55_55 and discharging atoms the_carrier(all_0_55_55) = all_0_53_53, element(all_0_50_50, all_0_53_53) = 0, yields:
% 182.65/111.63  | (862)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (meet_commutative(all_0_55_55) = v1 & meet_semilatt_str(all_0_55_55) = v2 & meet_commut(all_0_55_55, all_0_50_50, all_0_50_50) = v4 & meet_commut(all_0_55_55, all_0_50_50, all_0_50_50) = v3 & empty_carrier(all_0_55_55) = v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (571) with all_0_53_53, all_0_50_50, all_0_50_50, all_0_55_55 and discharging atoms the_carrier(all_0_55_55) = all_0_53_53, element(all_0_50_50, all_0_53_53) = 0, yields:
% 182.65/111.63  | (863)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (empty_carrier(all_0_55_55) = v0 & join_commutative(all_0_55_55) = v1 & join_semilatt_str(all_0_55_55) = v2 & join_commut(all_0_55_55, all_0_50_50, all_0_50_50) = v4 & join_commut(all_0_55_55, all_0_50_50, all_0_50_50) = v3 & ( ~ (v2 = 0) |  ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 182.65/111.63  |
% 182.65/111.63  | Instantiating formula (698) with all_0_53_53, all_0_50_50, all_0_55_55 and discharging atoms the_carrier(all_0_55_55) = all_0_53_53, element(all_0_50_50, all_0_53_53) = 0, yields:
% 182.65/111.63  | (864)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (topological_space(all_0_55_55) = v1 & top_str(all_0_55_55) = v2 & empty_carrier(all_0_55_55) = v0 & powerset(all_0_53_53) = v3 & ( ~ (v2 = 0) |  ~ (v1 = 0) | v0 = 0 |  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (element(v4, v3) = v5) |  ? [v6] : ( ~ (v6 = 0) & point_neighbourhood(v4, all_0_55_55, all_0_50_50) = v6))))
% 182.65/111.64  |
% 182.65/111.64  | Instantiating formula (27) with all_0_52_52, all_0_53_53, all_0_51_51, all_0_55_55 and discharging atoms the_carrier(all_0_55_55) = all_0_53_53, powerset(all_0_53_53) = all_0_52_52, element(all_0_51_51, all_0_52_52) = 0, yields:
% 182.65/111.64  | (865)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (topological_space(all_0_55_55) = v0 & top_str(all_0_55_55) = v1 & powerset(all_0_52_52) = v2 & ( ~ (v1 = 0) |  ~ (v0 = 0) | (v4 = 0 & element(v3, v2) = 0 &  ! [v5] : ( ~ (element(v5, all_0_52_52) = 0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (subset(all_0_51_51, v5) = v7 & in(v5, v3) = v6 & ( ~ (v7 = 0) | v6 = 0 |  ? [v11] : ( ~ (v11 = 0) & closed_subset(v5, all_0_55_55) = v11)) & ( ~ (v6 = 0) | (v10 = 0 & v9 = 0 & v8 = v5 & v7 = 0 & closed_subset(v5, all_0_55_55) = 0)))))))
% 182.65/111.64  |
% 182.65/111.64  | Instantiating formula (435) with all_0_52_52, all_0_53_53, all_0_51_51, all_0_55_55 and discharging atoms the_carrier(all_0_55_55) = all_0_53_53, powerset(all_0_53_53) = all_0_52_52, element(all_0_51_51, all_0_52_52) = 0, yields:
% 182.65/111.64  | (866)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (closed_subset(v2, all_0_55_55) = v3 & topological_space(all_0_55_55) = v0 & top_str(all_0_55_55) = v1 & topstr_closure(all_0_55_55, all_0_51_51) = v2 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v3 = 0))
% 182.65/111.64  |
% 182.65/111.64  | Instantiating formula (515) with all_0_52_52, all_0_53_53, all_0_51_51, all_0_55_55 and discharging atoms the_carrier(all_0_55_55) = all_0_53_53, powerset(all_0_53_53) = all_0_52_52, element(all_0_51_51, all_0_52_52) = 0, yields:
% 182.65/111.64  | (867)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (topological_space(all_0_55_55) = v0 & interior(all_0_55_55, all_0_51_51) = v2 & top_str(all_0_55_55) = v1 & open_subset(v2, all_0_55_55) = v3 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v3 = 0))
% 182.65/111.64  |
% 182.65/111.64  | Instantiating (854) with all_97_0_119, all_97_1_120 yields:
% 182.65/111.64  | (868) the_carrier(all_0_55_55) = all_97_1_120 & powerset(all_97_1_120) = all_97_0_119 &  ! [v0] : ( ~ (element(v0, all_97_0_119) = 0) |  ? [v1] : (topstr_closure(all_0_55_55, v0) = v1 &  ! [v2] : (v2 = v1 |  ~ (element(v2, all_97_0_119) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (in(v3, v2) = v4 & in(v3, all_97_1_120) = 0 & ( ~ (v4 = 0) | (v9 = 0 & v8 = 0 & v7 = 0 & v6 = 0 & open_subset(v5, all_0_55_55) = 0 & disjoint(v0, v5) = 0 & element(v5, all_97_0_119) = 0 & in(v3, v5) = 0)) & (v4 = 0 |  ! [v10] : ( ~ (element(v10, all_97_0_119) = 0) |  ? [v11] :  ? [v12] :  ? [v13] : (open_subset(v10, all_0_55_55) = v11 & disjoint(v0, v10) = v13 & in(v3, v10) = v12 & ( ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0))))))) &  ! [v2] : ( ~ (element(v1, all_97_0_119) = 0) |  ~ (in(v2, all_97_1_120) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (in(v2, v1) = v3 & ( ~ (v3 = 0) |  ! [v9] : ( ~ (element(v9, all_97_0_119) = 0) |  ? [v10] :  ? [v11] :  ? [v12] : (open_subset(v9, all_0_55_55) = v10 & disjoint(v0, v9) = v12 & in(v2, v9) = v11 & ( ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0))))) & (v3 = 0 | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & open_subset(v4, all_0_55_55) = 0 & disjoint(v0, v4) = 0 & element(v4, all_97_0_119) = 0 & in(v2, v4) = 0))))))
% 182.65/111.64  |
% 182.65/111.64  | Applying alpha-rule on (868) yields:
% 182.65/111.64  | (869) the_carrier(all_0_55_55) = all_97_1_120
% 182.65/111.64  | (870) powerset(all_97_1_120) = all_97_0_119
% 182.65/111.64  | (871)  ! [v0] : ( ~ (element(v0, all_97_0_119) = 0) |  ? [v1] : (topstr_closure(all_0_55_55, v0) = v1 &  ! [v2] : (v2 = v1 |  ~ (element(v2, all_97_0_119) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (in(v3, v2) = v4 & in(v3, all_97_1_120) = 0 & ( ~ (v4 = 0) | (v9 = 0 & v8 = 0 & v7 = 0 & v6 = 0 & open_subset(v5, all_0_55_55) = 0 & disjoint(v0, v5) = 0 & element(v5, all_97_0_119) = 0 & in(v3, v5) = 0)) & (v4 = 0 |  ! [v10] : ( ~ (element(v10, all_97_0_119) = 0) |  ? [v11] :  ? [v12] :  ? [v13] : (open_subset(v10, all_0_55_55) = v11 & disjoint(v0, v10) = v13 & in(v3, v10) = v12 & ( ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0))))))) &  ! [v2] : ( ~ (element(v1, all_97_0_119) = 0) |  ~ (in(v2, all_97_1_120) = 0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (in(v2, v1) = v3 & ( ~ (v3 = 0) |  ! [v9] : ( ~ (element(v9, all_97_0_119) = 0) |  ? [v10] :  ? [v11] :  ? [v12] : (open_subset(v9, all_0_55_55) = v10 & disjoint(v0, v9) = v12 & in(v2, v9) = v11 & ( ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0))))) & (v3 = 0 | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & open_subset(v4, all_0_55_55) = 0 & disjoint(v0, v4) = 0 & element(v4, all_97_0_119) = 0 & in(v2, v4) = 0))))))
% 182.65/111.64  |
% 182.65/111.64  | Instantiating formula (871) with all_0_51_51 yields:
% 182.65/111.64  | (872)  ~ (element(all_0_51_51, all_97_0_119) = 0) |  ? [v0] : (topstr_closure(all_0_55_55, all_0_51_51) = v0 &  ! [v1] : (v1 = v0 |  ~ (element(v1, all_97_0_119) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (in(v2, v1) = v3 & in(v2, all_97_1_120) = 0 & ( ~ (v3 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & open_subset(v4, all_0_55_55) = 0 & disjoint(all_0_51_51, v4) = 0 & element(v4, all_97_0_119) = 0 & in(v2, v4) = 0)) & (v3 = 0 |  ! [v9] : ( ~ (element(v9, all_97_0_119) = 0) |  ? [v10] :  ? [v11] :  ? [v12] : (open_subset(v9, all_0_55_55) = v10 & disjoint(all_0_51_51, v9) = v12 & in(v2, v9) = v11 & ( ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0))))))) &  ! [v1] : ( ~ (element(v0, all_97_0_119) = 0) |  ~ (in(v1, all_97_1_120) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (in(v1, v0) = v2 & ( ~ (v2 = 0) |  ! [v8] : ( ~ (element(v8, all_97_0_119) = 0) |  ? [v9] :  ? [v10] :  ? [v11] : (open_subset(v8, all_0_55_55) = v9 & disjoint(all_0_51_51, v8) = v11 & in(v1, v8) = v10 & ( ~ (v11 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0))))) & (v2 = 0 | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & open_subset(v3, all_0_55_55) = 0 & disjoint(all_0_51_51, v3) = 0 & element(v3, all_97_0_119) = 0 & in(v1, v3) = 0)))))
% 182.65/111.64  |
% 182.65/111.64  | Instantiating (859) with all_142_0_156, all_142_1_157, all_142_2_158 yields:
% 182.65/111.64  | (873) one_sorted_str(all_0_55_55) = all_142_2_158 & the_carrier(all_0_55_55) = all_142_1_157 & empty(all_142_1_157) = all_142_0_156 & ( ~ (all_142_2_158 = 0) | (( ~ (all_142_0_156 = 0) | all_0_54_54 = 0) & ( ~ (all_0_54_54 = 0) | all_142_0_156 = 0)))
% 182.65/111.64  |
% 182.65/111.64  | Applying alpha-rule on (873) yields:
% 182.65/111.64  | (874) one_sorted_str(all_0_55_55) = all_142_2_158
% 182.65/111.64  | (875) the_carrier(all_0_55_55) = all_142_1_157
% 182.65/111.64  | (876) empty(all_142_1_157) = all_142_0_156
% 182.65/111.64  | (877)  ~ (all_142_2_158 = 0) | (( ~ (all_142_0_156 = 0) | all_0_54_54 = 0) & ( ~ (all_0_54_54 = 0) | all_142_0_156 = 0))
% 182.65/111.64  |
% 182.65/111.64  | Instantiating (864) with all_182_0_183, all_182_1_184, all_182_2_185, all_182_3_186 yields:
% 182.65/111.64  | (878) topological_space(all_0_55_55) = all_182_2_185 & top_str(all_0_55_55) = all_182_1_184 & empty_carrier(all_0_55_55) = all_182_3_186 & powerset(all_0_53_53) = all_182_0_183 & ( ~ (all_182_1_184 = 0) |  ~ (all_182_2_185 = 0) | all_182_3_186 = 0 |  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (element(v0, all_182_0_183) = v1) |  ? [v2] : ( ~ (v2 = 0) & point_neighbourhood(v0, all_0_55_55, all_0_50_50) = v2)))
% 182.65/111.64  |
% 182.65/111.64  | Applying alpha-rule on (878) yields:
% 182.65/111.64  | (879) top_str(all_0_55_55) = all_182_1_184
% 182.65/111.64  | (880) powerset(all_0_53_53) = all_182_0_183
% 182.65/111.64  | (881) empty_carrier(all_0_55_55) = all_182_3_186
% 182.65/111.64  | (882) topological_space(all_0_55_55) = all_182_2_185
% 182.65/111.64  | (883)  ~ (all_182_1_184 = 0) |  ~ (all_182_2_185 = 0) | all_182_3_186 = 0 |  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (element(v0, all_182_0_183) = v1) |  ? [v2] : ( ~ (v2 = 0) & point_neighbourhood(v0, all_0_55_55, all_0_50_50) = v2))
% 182.65/111.64  |
% 182.65/111.64  | Instantiating (863) with all_184_0_187, all_184_1_188, all_184_2_189, all_184_3_190, all_184_4_191 yields:
% 182.65/111.64  | (884) empty_carrier(all_0_55_55) = all_184_4_191 & join_commutative(all_0_55_55) = all_184_3_190 & join_semilatt_str(all_0_55_55) = all_184_2_189 & join_commut(all_0_55_55, all_0_50_50, all_0_50_50) = all_184_0_187 & join_commut(all_0_55_55, all_0_50_50, all_0_50_50) = all_184_1_188 & ( ~ (all_184_2_189 = 0) |  ~ (all_184_3_190 = 0) | all_184_0_187 = all_184_1_188 | all_184_4_191 = 0)
% 182.65/111.64  |
% 182.65/111.64  | Applying alpha-rule on (884) yields:
% 182.65/111.64  | (885) join_commutative(all_0_55_55) = all_184_3_190
% 182.65/111.64  | (886) join_commut(all_0_55_55, all_0_50_50, all_0_50_50) = all_184_0_187
% 182.65/111.64  | (887) join_semilatt_str(all_0_55_55) = all_184_2_189
% 182.65/111.64  | (888) join_commut(all_0_55_55, all_0_50_50, all_0_50_50) = all_184_1_188
% 182.65/111.64  | (889)  ~ (all_184_2_189 = 0) |  ~ (all_184_3_190 = 0) | all_184_0_187 = all_184_1_188 | all_184_4_191 = 0
% 182.65/111.64  | (890) empty_carrier(all_0_55_55) = all_184_4_191
% 182.65/111.64  |
% 182.65/111.64  | Instantiating (866) with all_187_0_194, all_187_1_195, all_187_2_196, all_187_3_197 yields:
% 182.65/111.64  | (891) closed_subset(all_187_1_195, all_0_55_55) = all_187_0_194 & topological_space(all_0_55_55) = all_187_3_197 & top_str(all_0_55_55) = all_187_2_196 & topstr_closure(all_0_55_55, all_0_51_51) = all_187_1_195 & ( ~ (all_187_2_196 = 0) |  ~ (all_187_3_197 = 0) | all_187_0_194 = 0)
% 182.65/111.64  |
% 182.65/111.64  | Applying alpha-rule on (891) yields:
% 182.65/111.64  | (892) top_str(all_0_55_55) = all_187_2_196
% 182.65/111.64  | (893)  ~ (all_187_2_196 = 0) |  ~ (all_187_3_197 = 0) | all_187_0_194 = 0
% 182.65/111.64  | (894) topstr_closure(all_0_55_55, all_0_51_51) = all_187_1_195
% 182.65/111.64  | (895) closed_subset(all_187_1_195, all_0_55_55) = all_187_0_194
% 182.65/111.64  | (896) topological_space(all_0_55_55) = all_187_3_197
% 182.65/111.64  |
% 182.65/111.64  | Instantiating (865) with all_195_0_206, all_195_1_207, all_195_2_208, all_195_3_209, all_195_4_210 yields:
% 182.65/111.64  | (897) topological_space(all_0_55_55) = all_195_4_210 & top_str(all_0_55_55) = all_195_3_209 & powerset(all_0_52_52) = all_195_2_208 & ( ~ (all_195_3_209 = 0) |  ~ (all_195_4_210 = 0) | (all_195_0_206 = 0 & element(all_195_1_207, all_195_2_208) = 0 &  ! [v0] : ( ~ (element(v0, all_0_52_52) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (subset(all_0_51_51, v0) = v2 & in(v0, all_195_1_207) = v1 & ( ~ (v2 = 0) | v1 = 0 |  ? [v6] : ( ~ (v6 = 0) & closed_subset(v0, all_0_55_55) = v6)) & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0 & v3 = v0 & v2 = 0 & closed_subset(v0, all_0_55_55) = 0))))))
% 182.65/111.65  |
% 182.65/111.65  | Applying alpha-rule on (897) yields:
% 182.65/111.65  | (898) topological_space(all_0_55_55) = all_195_4_210
% 182.65/111.65  | (899) top_str(all_0_55_55) = all_195_3_209
% 182.65/111.65  | (900) powerset(all_0_52_52) = all_195_2_208
% 182.65/111.65  | (901)  ~ (all_195_3_209 = 0) |  ~ (all_195_4_210 = 0) | (all_195_0_206 = 0 & element(all_195_1_207, all_195_2_208) = 0 &  ! [v0] : ( ~ (element(v0, all_0_52_52) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (subset(all_0_51_51, v0) = v2 & in(v0, all_195_1_207) = v1 & ( ~ (v2 = 0) | v1 = 0 |  ? [v6] : ( ~ (v6 = 0) & closed_subset(v0, all_0_55_55) = v6)) & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0 & v3 = v0 & v2 = 0 & closed_subset(v0, all_0_55_55) = 0)))))
% 182.65/111.65  |
% 182.65/111.65  | Instantiating (867) with all_198_0_213, all_198_1_214, all_198_2_215, all_198_3_216 yields:
% 182.65/111.65  | (902) topological_space(all_0_55_55) = all_198_3_216 & interior(all_0_55_55, all_0_51_51) = all_198_1_214 & top_str(all_0_55_55) = all_198_2_215 & open_subset(all_198_1_214, all_0_55_55) = all_198_0_213 & ( ~ (all_198_2_215 = 0) |  ~ (all_198_3_216 = 0) | all_198_0_213 = 0)
% 182.65/111.65  |
% 182.65/111.65  | Applying alpha-rule on (902) yields:
% 182.65/111.65  | (903)  ~ (all_198_2_215 = 0) |  ~ (all_198_3_216 = 0) | all_198_0_213 = 0
% 182.65/111.65  | (904) top_str(all_0_55_55) = all_198_2_215
% 182.65/111.65  | (905) interior(all_0_55_55, all_0_51_51) = all_198_1_214
% 182.65/111.65  | (906) topological_space(all_0_55_55) = all_198_3_216
% 182.65/111.65  | (907) open_subset(all_198_1_214, all_0_55_55) = all_198_0_213
% 182.65/111.65  |
% 182.65/111.65  | Instantiating (843) with all_250_0_254, all_250_1_255, all_250_2_256 yields:
% 182.65/111.65  | (908) top_str(all_0_55_55) = all_250_2_256 & the_carrier(all_0_55_55) = all_250_1_255 & powerset(all_250_1_255) = all_250_0_254 & ( ~ (all_250_2_256 = 0) |  ! [v0] : ( ~ (element(v0, all_250_0_254) = 0) |  ? [v1] :  ? [v2] : (closed_subset(v0, all_0_55_55) = v1 & topstr_closure(all_0_55_55, v0) = v2 & ( ~ (v2 = v0) | v1 = 0) & ( ~ (v1 = 0) | v2 = v0))))
% 182.65/111.65  |
% 182.65/111.65  | Applying alpha-rule on (908) yields:
% 182.65/111.65  | (909) top_str(all_0_55_55) = all_250_2_256
% 182.65/111.65  | (910) the_carrier(all_0_55_55) = all_250_1_255
% 182.65/111.65  | (911) powerset(all_250_1_255) = all_250_0_254
% 182.65/111.65  | (912)  ~ (all_250_2_256 = 0) |  ! [v0] : ( ~ (element(v0, all_250_0_254) = 0) |  ? [v1] :  ? [v2] : (closed_subset(v0, all_0_55_55) = v1 & topstr_closure(all_0_55_55, v0) = v2 & ( ~ (v2 = v0) | v1 = 0) & ( ~ (v1 = 0) | v2 = v0)))
% 182.65/111.65  |
% 182.65/111.65  | Instantiating (838) with all_478_0_578, all_478_1_579, all_478_2_580, all_478_3_581 yields:
% 182.65/111.65  | (913) top_str(all_0_55_55) = all_478_2_580 & the_carrier(all_0_55_55) = all_478_1_579 & empty_carrier(all_0_55_55) = all_478_3_581 & powerset(all_478_1_579) = all_478_0_578 & ( ~ (all_478_2_580 = 0) | all_478_3_581 = 0 |  ! [v0] :  ! [v1] : ( ~ (element(v1, all_478_0_578) = 0) |  ~ (element(v0, all_478_1_579) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : (point_neighbourhood(v1, all_0_55_55, v0) = v2 & interior(all_0_55_55, v1) = v3 & in(v0, v3) = v4 & ( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))
% 182.65/111.65  |
% 182.65/111.65  | Applying alpha-rule on (913) yields:
% 182.65/111.65  | (914) empty_carrier(all_0_55_55) = all_478_3_581
% 182.65/111.65  | (915) the_carrier(all_0_55_55) = all_478_1_579
% 182.65/111.65  | (916) powerset(all_478_1_579) = all_478_0_578
% 182.65/111.65  | (917) top_str(all_0_55_55) = all_478_2_580
% 182.65/111.65  | (918)  ~ (all_478_2_580 = 0) | all_478_3_581 = 0 |  ! [v0] :  ! [v1] : ( ~ (element(v1, all_478_0_578) = 0) |  ~ (element(v0, all_478_1_579) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : (point_neighbourhood(v1, all_0_55_55, v0) = v2 & interior(all_0_55_55, v1) = v3 & in(v0, v3) = v4 & ( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))
% 182.65/111.65  |
% 182.65/111.65  | Instantiating (836) with all_480_0_582, all_480_1_583, all_480_2_584, all_480_3_585, all_480_4_586, all_480_5_587 yields:
% 182.65/111.65  | (919) top_str(all_0_55_55) = all_480_5_587 & the_carrier(all_0_55_55) = all_480_4_586 & powerset(all_480_4_586) = all_480_3_585 & ( ~ (all_480_5_587 = 0) | (all_480_0_582 = 0 & all_480_1_583 = 0 & closed_subset(all_480_2_584, all_0_55_55) = 0 & element(all_480_2_584, all_480_3_585) = 0))
% 182.65/111.65  |
% 182.65/111.65  | Applying alpha-rule on (919) yields:
% 182.65/111.65  | (920) top_str(all_0_55_55) = all_480_5_587
% 182.65/111.65  | (921) the_carrier(all_0_55_55) = all_480_4_586
% 182.65/111.65  | (922) powerset(all_480_4_586) = all_480_3_585
% 182.65/111.65  | (923)  ~ (all_480_5_587 = 0) | (all_480_0_582 = 0 & all_480_1_583 = 0 & closed_subset(all_480_2_584, all_0_55_55) = 0 & element(all_480_2_584, all_480_3_585) = 0)
% 182.65/111.65  |
% 182.65/111.65  | Instantiating (835) with all_482_0_588, all_482_1_589, all_482_2_590, all_482_3_591, all_482_4_592, all_482_5_593, all_482_6_594 yields:
% 182.65/111.65  | (924) top_str(all_0_55_55) = all_482_6_594 & the_carrier(all_0_55_55) = all_482_5_593 & powerset(all_482_5_593) = all_482_4_592 & ( ~ (all_482_6_594 = 0) | (all_482_0_588 = 0 & all_482_1_589 = 0 & all_482_2_590 = 0 & closed_subset(all_482_3_591, all_0_55_55) = 0 & open_subset(all_482_3_591, all_0_55_55) = 0 & element(all_482_3_591, all_482_4_592) = 0))
% 182.65/111.65  |
% 182.65/111.65  | Applying alpha-rule on (924) yields:
% 182.65/111.65  | (925) top_str(all_0_55_55) = all_482_6_594
% 182.65/111.65  | (926) the_carrier(all_0_55_55) = all_482_5_593
% 182.65/111.65  | (927) powerset(all_482_5_593) = all_482_4_592
% 182.65/111.65  | (928)  ~ (all_482_6_594 = 0) | (all_482_0_588 = 0 & all_482_1_589 = 0 & all_482_2_590 = 0 & closed_subset(all_482_3_591, all_0_55_55) = 0 & open_subset(all_482_3_591, all_0_55_55) = 0 & element(all_482_3_591, all_482_4_592) = 0)
% 182.65/111.65  |
% 182.65/111.65  | Instantiating (842) with all_491_0_606, all_491_1_607, all_491_2_608 yields:
% 182.65/111.65  | (929) top_str(all_0_55_55) = all_491_2_608 & the_carrier(all_0_55_55) = all_491_1_607 & powerset(all_491_1_607) = all_491_0_606 & ( ~ (all_491_2_608 = 0) |  ! [v0] : ( ~ (element(v0, all_491_0_606) = 0) |  ? [v1] : (interior(all_0_55_55, v0) = v1 & open_subset(v1, all_0_55_55) = 0)))
% 182.65/111.65  |
% 182.65/111.65  | Applying alpha-rule on (929) yields:
% 182.65/111.65  | (930) top_str(all_0_55_55) = all_491_2_608
% 182.65/111.65  | (931) the_carrier(all_0_55_55) = all_491_1_607
% 182.65/111.65  | (932) powerset(all_491_1_607) = all_491_0_606
% 182.65/111.65  | (933)  ~ (all_491_2_608 = 0) |  ! [v0] : ( ~ (element(v0, all_491_0_606) = 0) |  ? [v1] : (interior(all_0_55_55, v0) = v1 & open_subset(v1, all_0_55_55) = 0))
% 182.65/111.65  |
% 182.65/111.65  | Instantiating (841) with all_493_0_609, all_493_1_610, all_493_2_611 yields:
% 182.65/111.65  | (934) top_str(all_0_55_55) = all_493_2_611 & the_carrier(all_0_55_55) = all_493_1_610 & powerset(all_493_1_610) = all_493_0_609 & ( ~ (all_493_2_611 = 0) |  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] : ( ~ (element(v3, all_493_0_609) = 0) |  ? [v4] :  ? [v5] : (interior(all_0_55_55, v3) = v4 & open_subset(v3, all_0_55_55) = v5 &  ! [v6] : ( ~ (v4 = v3) | v5 = 0 |  ~ (element(v6, v2) = 0)) &  ! [v6] : ( ~ (element(v6, v2) = 0) |  ? [v7] :  ? [v8] : (interior(v0, v6) = v8 & open_subset(v6, v0) = v7 & ( ~ (v7 = 0) | v8 = v6))))))))
% 182.65/111.65  |
% 182.65/111.65  | Applying alpha-rule on (934) yields:
% 182.65/111.65  | (935) top_str(all_0_55_55) = all_493_2_611
% 182.65/111.65  | (936) the_carrier(all_0_55_55) = all_493_1_610
% 182.65/111.65  | (937) powerset(all_493_1_610) = all_493_0_609
% 182.65/111.65  | (938)  ~ (all_493_2_611 = 0) |  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] : ( ~ (element(v3, all_493_0_609) = 0) |  ? [v4] :  ? [v5] : (interior(all_0_55_55, v3) = v4 & open_subset(v3, all_0_55_55) = v5 &  ! [v6] : ( ~ (v4 = v3) | v5 = 0 |  ~ (element(v6, v2) = 0)) &  ! [v6] : ( ~ (element(v6, v2) = 0) |  ? [v7] :  ? [v8] : (interior(v0, v6) = v8 & open_subset(v6, v0) = v7 & ( ~ (v7 = 0) | v8 = v6)))))))
% 182.65/111.65  |
% 182.65/111.65  | Instantiating (840) with all_495_0_612, all_495_1_613, all_495_2_614, all_495_3_615 yields:
% 182.65/111.65  | (939) top_str(all_0_55_55) = all_495_3_615 & the_carrier(all_0_55_55) = all_495_2_614 & powerset(all_495_1_613) = all_495_0_612 & powerset(all_495_2_614) = all_495_1_613 & ( ~ (all_495_3_615 = 0) |  ! [v0] : ( ~ (element(v0, all_495_1_613) = 0) |  ? [v1] :  ? [v2] : (meet_of_subsets(all_495_2_614, v2) = v1 & topstr_closure(all_0_55_55, v0) = v1 & element(v2, all_495_0_612) = 0 &  ! [v3] : ( ~ (element(v3, all_495_1_613) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : (closed_subset(v3, all_0_55_55) = v5 & subset(v0, v3) = v6 & in(v3, v2) = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) | (v6 = 0 & v5 = 0)))))))
% 182.65/111.65  |
% 182.65/111.66  | Applying alpha-rule on (939) yields:
% 182.65/111.66  | (940)  ~ (all_495_3_615 = 0) |  ! [v0] : ( ~ (element(v0, all_495_1_613) = 0) |  ? [v1] :  ? [v2] : (meet_of_subsets(all_495_2_614, v2) = v1 & topstr_closure(all_0_55_55, v0) = v1 & element(v2, all_495_0_612) = 0 &  ! [v3] : ( ~ (element(v3, all_495_1_613) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : (closed_subset(v3, all_0_55_55) = v5 & subset(v0, v3) = v6 & in(v3, v2) = v4 & ( ~ (v6 = 0) |  ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) | (v6 = 0 & v5 = 0))))))
% 182.65/111.66  | (941) the_carrier(all_0_55_55) = all_495_2_614
% 182.65/111.66  | (942) powerset(all_495_1_613) = all_495_0_612
% 182.65/111.66  | (943) powerset(all_495_2_614) = all_495_1_613
% 182.65/111.66  | (944) top_str(all_0_55_55) = all_495_3_615
% 182.65/111.66  |
% 182.65/111.66  | Instantiating (839) with all_497_0_616, all_497_1_617, all_497_2_618, all_497_3_619 yields:
% 182.65/111.66  | (945) top_str(all_0_55_55) = all_497_3_619 & the_carrier(all_0_55_55) = all_497_2_618 & powerset(all_497_1_617) = all_497_0_616 & powerset(all_497_2_618) = all_497_1_617 & ( ~ (all_497_3_619 = 0) |  ! [v0] : ( ~ (element(v0, all_497_0_616) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : ((v3 = 0 & v2 = 0 &  ~ (v4 = 0) & closed_subset(v1, all_0_55_55) = v4 & element(v1, all_497_1_617) = 0 & in(v1, v0) = 0) | (v2 = 0 & meet_of_subsets(all_497_2_618, v0) = v1 & closed_subset(v1, all_0_55_55) = 0))))
% 182.65/111.66  |
% 182.65/111.66  | Applying alpha-rule on (945) yields:
% 182.65/111.66  | (946) powerset(all_497_2_618) = all_497_1_617
% 182.65/111.66  | (947)  ~ (all_497_3_619 = 0) |  ! [v0] : ( ~ (element(v0, all_497_0_616) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : ((v3 = 0 & v2 = 0 &  ~ (v4 = 0) & closed_subset(v1, all_0_55_55) = v4 & element(v1, all_497_1_617) = 0 & in(v1, v0) = 0) | (v2 = 0 & meet_of_subsets(all_497_2_618, v0) = v1 & closed_subset(v1, all_0_55_55) = 0)))
% 182.65/111.66  | (948) the_carrier(all_0_55_55) = all_497_2_618
% 182.65/111.66  | (949) top_str(all_0_55_55) = all_497_3_619
% 182.65/111.66  | (950) powerset(all_497_1_617) = all_497_0_616
% 182.65/111.66  |
% 182.65/111.66  | Instantiating (837) with all_499_0_620, all_499_1_621, all_499_2_622, all_499_3_623, all_499_4_624, all_499_5_625 yields:
% 182.65/111.66  | (951) top_str(all_0_55_55) = all_499_5_625 & the_carrier(all_0_55_55) = all_499_4_624 & powerset(all_499_4_624) = all_499_3_623 & ( ~ (all_499_5_625 = 0) | (all_499_0_620 = 0 & all_499_1_621 = 0 & open_subset(all_499_2_622, all_0_55_55) = 0 & element(all_499_2_622, all_499_3_623) = 0))
% 182.65/111.66  |
% 182.65/111.66  | Applying alpha-rule on (951) yields:
% 182.65/111.66  | (952) top_str(all_0_55_55) = all_499_5_625
% 182.65/111.66  | (953) the_carrier(all_0_55_55) = all_499_4_624
% 182.65/111.66  | (954) powerset(all_499_4_624) = all_499_3_623
% 182.65/111.66  | (955)  ~ (all_499_5_625 = 0) | (all_499_0_620 = 0 & all_499_1_621 = 0 & open_subset(all_499_2_622, all_0_55_55) = 0 & element(all_499_2_622, all_499_3_623) = 0)
% 182.65/111.66  |
% 182.65/111.66  | Instantiating (853) with all_505_0_630, all_505_1_631 yields:
% 182.65/111.66  | (956) the_carrier(all_0_55_55) = all_505_1_631 & powerset(all_505_1_631) = all_505_0_630 &  ! [v0] : ( ~ (element(v0, all_505_0_630) = 0) |  ? [v1] : (topstr_closure(all_0_55_55, v0) = v1 &  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (in(v2, v1) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v7 = 0 & v6 = 0 & v5 = 0 &  ~ (v8 = 0) & closed_subset(v4, all_0_55_55) = 0 & subset(v0, v4) = 0 & element(v4, all_505_0_630) = 0 & in(v2, v4) = v8) | ( ~ (v4 = 0) & in(v2, all_505_1_631) = v4))) &  ! [v2] :  ! [v3] : ( ~ (element(v3, all_505_0_630) = 0) |  ~ (in(v2, v1) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ (v4 = 0) & in(v2, all_505_1_631) = v4) | (closed_subset(v3, all_0_55_55) = v4 & subset(v0, v3) = v5 & in(v2, v3) = v6 & ( ~ (v5 = 0) |  ~ (v4 = 0) | v6 = 0))))))
% 182.65/111.66  |
% 182.65/111.66  | Applying alpha-rule on (956) yields:
% 182.65/111.66  | (957) the_carrier(all_0_55_55) = all_505_1_631
% 182.65/111.66  | (958) powerset(all_505_1_631) = all_505_0_630
% 182.65/111.66  | (959)  ! [v0] : ( ~ (element(v0, all_505_0_630) = 0) |  ? [v1] : (topstr_closure(all_0_55_55, v0) = v1 &  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (in(v2, v1) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v7 = 0 & v6 = 0 & v5 = 0 &  ~ (v8 = 0) & closed_subset(v4, all_0_55_55) = 0 & subset(v0, v4) = 0 & element(v4, all_505_0_630) = 0 & in(v2, v4) = v8) | ( ~ (v4 = 0) & in(v2, all_505_1_631) = v4))) &  ! [v2] :  ! [v3] : ( ~ (element(v3, all_505_0_630) = 0) |  ~ (in(v2, v1) = 0) |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ (v4 = 0) & in(v2, all_505_1_631) = v4) | (closed_subset(v3, all_0_55_55) = v4 & subset(v0, v3) = v5 & in(v2, v3) = v6 & ( ~ (v5 = 0) |  ~ (v4 = 0) | v6 = 0))))))
% 182.65/111.66  |
% 182.65/111.66  | Instantiating formula (959) with all_0_51_51 yields:
% 182.65/111.66  | (960)  ~ (element(all_0_51_51, all_505_0_630) = 0) |  ? [v0] : (topstr_closure(all_0_55_55, all_0_51_51) = v0 &  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (in(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : ((v6 = 0 & v5 = 0 & v4 = 0 &  ~ (v7 = 0) & closed_subset(v3, all_0_55_55) = 0 & subset(all_0_51_51, v3) = 0 & element(v3, all_505_0_630) = 0 & in(v1, v3) = v7) | ( ~ (v3 = 0) & in(v1, all_505_1_631) = v3))) &  ! [v1] :  ! [v2] : ( ~ (element(v2, all_505_0_630) = 0) |  ~ (in(v1, v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v3 = 0) & in(v1, all_505_1_631) = v3) | (closed_subset(v2, all_0_55_55) = v3 & subset(all_0_51_51, v2) = v4 & in(v1, v2) = v5 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))))
% 182.65/111.66  |
% 182.65/111.66  | Instantiating (852) with all_508_0_632, all_508_1_633 yields:
% 182.65/111.66  | (961) the_carrier(all_0_55_55) = all_508_1_633 & powerset(all_508_1_633) = all_508_0_632 &  ! [v0] : ( ~ (element(v0, all_508_0_632) = 0) |  ? [v1] : (topstr_closure(all_0_55_55, v0) = v1 & subset(v0, v1) = 0))
% 182.65/111.66  |
% 182.65/111.66  | Applying alpha-rule on (961) yields:
% 182.65/111.66  | (962) the_carrier(all_0_55_55) = all_508_1_633
% 182.65/111.66  | (963) powerset(all_508_1_633) = all_508_0_632
% 182.65/111.66  | (964)  ! [v0] : ( ~ (element(v0, all_508_0_632) = 0) |  ? [v1] : (topstr_closure(all_0_55_55, v0) = v1 & subset(v0, v1) = 0))
% 182.65/111.66  |
% 182.65/111.66  | Instantiating formula (964) with all_0_51_51 yields:
% 182.65/111.66  | (965)  ~ (element(all_0_51_51, all_508_0_632) = 0) |  ? [v0] : (topstr_closure(all_0_55_55, all_0_51_51) = v0 & subset(all_0_51_51, v0) = 0)
% 182.65/111.66  |
% 182.65/111.66  | Instantiating (862) with all_513_0_641, all_513_1_642, all_513_2_643, all_513_3_644, all_513_4_645 yields:
% 182.65/111.66  | (966) meet_commutative(all_0_55_55) = all_513_3_644 & meet_semilatt_str(all_0_55_55) = all_513_2_643 & meet_commut(all_0_55_55, all_0_50_50, all_0_50_50) = all_513_0_641 & meet_commut(all_0_55_55, all_0_50_50, all_0_50_50) = all_513_1_642 & empty_carrier(all_0_55_55) = all_513_4_645 & ( ~ (all_513_2_643 = 0) |  ~ (all_513_3_644 = 0) | all_513_0_641 = all_513_1_642 | all_513_4_645 = 0)
% 182.65/111.66  |
% 182.65/111.66  | Applying alpha-rule on (966) yields:
% 182.65/111.66  | (967) meet_commut(all_0_55_55, all_0_50_50, all_0_50_50) = all_513_1_642
% 182.65/111.66  | (968)  ~ (all_513_2_643 = 0) |  ~ (all_513_3_644 = 0) | all_513_0_641 = all_513_1_642 | all_513_4_645 = 0
% 182.65/111.66  | (969) empty_carrier(all_0_55_55) = all_513_4_645
% 182.65/111.66  | (970) meet_commutative(all_0_55_55) = all_513_3_644
% 182.65/111.66  | (971) meet_semilatt_str(all_0_55_55) = all_513_2_643
% 182.65/111.66  | (972) meet_commut(all_0_55_55, all_0_50_50, all_0_50_50) = all_513_0_641
% 182.65/111.66  |
% 182.65/111.66  | Instantiating (861) with all_515_0_646, all_515_1_647, all_515_2_648, all_515_3_649, all_515_4_650 yields:
% 182.65/111.66  | (973) join(all_0_55_55, all_0_50_50, all_0_50_50) = all_515_0_646 & empty_carrier(all_0_55_55) = all_515_4_650 & join_commutative(all_0_55_55) = all_515_3_649 & join_semilatt_str(all_0_55_55) = all_515_2_648 & join_commut(all_0_55_55, all_0_50_50, all_0_50_50) = all_515_1_647 & ( ~ (all_515_2_648 = 0) |  ~ (all_515_3_649 = 0) | all_515_0_646 = all_515_1_647 | all_515_4_650 = 0)
% 182.65/111.66  |
% 182.65/111.66  | Applying alpha-rule on (973) yields:
% 182.65/111.66  | (974) join_semilatt_str(all_0_55_55) = all_515_2_648
% 182.65/111.66  | (975) join_commut(all_0_55_55, all_0_50_50, all_0_50_50) = all_515_1_647
% 182.65/111.66  | (976) join_commutative(all_0_55_55) = all_515_3_649
% 182.65/111.66  | (977) empty_carrier(all_0_55_55) = all_515_4_650
% 182.65/111.66  | (978)  ~ (all_515_2_648 = 0) |  ~ (all_515_3_649 = 0) | all_515_0_646 = all_515_1_647 | all_515_4_650 = 0
% 182.65/111.66  | (979) join(all_0_55_55, all_0_50_50, all_0_50_50) = all_515_0_646
% 182.65/111.66  |
% 182.65/111.66  | Instantiating (851) with all_517_0_651, all_517_1_652 yields:
% 182.65/111.66  | (980) the_carrier(all_0_55_55) = all_517_1_652 & powerset(all_517_1_652) = all_517_0_651 &  ! [v0] : ( ~ (element(v0, all_517_0_651) = 0) |  ? [v1] : (interior(all_0_55_55, v0) = v1 & subset(v1, v0) = 0))
% 182.65/111.67  |
% 182.65/111.67  | Applying alpha-rule on (980) yields:
% 182.65/111.67  | (981) the_carrier(all_0_55_55) = all_517_1_652
% 182.65/111.67  | (982) powerset(all_517_1_652) = all_517_0_651
% 182.65/111.67  | (983)  ! [v0] : ( ~ (element(v0, all_517_0_651) = 0) |  ? [v1] : (interior(all_0_55_55, v0) = v1 & subset(v1, v0) = 0))
% 182.65/111.67  |
% 182.65/111.67  | Instantiating formula (983) with all_0_51_51 yields:
% 182.65/111.67  | (984)  ~ (element(all_0_51_51, all_517_0_651) = 0) |  ? [v0] : (interior(all_0_55_55, all_0_51_51) = v0 & subset(v0, all_0_51_51) = 0)
% 182.65/111.67  |
% 182.65/111.67  | Instantiating (850) with all_520_0_653, all_520_1_654 yields:
% 182.65/111.67  | (985) the_carrier(all_0_55_55) = all_520_1_654 & powerset(all_520_1_654) = all_520_0_653 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset_complement(all_520_1_654, v0) = v1) |  ~ (open_subset(v1, all_0_55_55) = v2) |  ? [v3] :  ? [v4] : (closed_subset(v0, all_0_55_55) = v4 & element(v0, all_520_0_653) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 182.65/111.67  |
% 182.65/111.67  | Applying alpha-rule on (985) yields:
% 182.65/111.67  | (986) the_carrier(all_0_55_55) = all_520_1_654
% 182.65/111.67  | (987) powerset(all_520_1_654) = all_520_0_653
% 182.65/111.67  | (988)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset_complement(all_520_1_654, v0) = v1) |  ~ (open_subset(v1, all_0_55_55) = v2) |  ? [v3] :  ? [v4] : (closed_subset(v0, all_0_55_55) = v4 & element(v0, all_520_0_653) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 182.65/111.67  |
% 182.65/111.67  | Instantiating (847) with all_523_0_655, all_523_1_656, all_523_2_657 yields:
% 182.65/111.67  | (989) the_carrier(all_0_55_55) = all_523_2_657 & powerset(all_523_1_656) = all_523_0_655 & powerset(all_523_2_657) = all_523_1_656 &  ! [v0] : ( ~ (element(v0, all_523_0_655) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (complements_of_subsets(all_523_2_657, v0) = v2 & closed_subsets(v0, all_0_55_55) = v1 & open_subsets(v2, all_0_55_55) = v3 & ( ~ (v3 = 0) | v1 = 0) & ( ~ (v1 = 0) | v3 = 0)))
% 182.65/111.67  |
% 182.65/111.67  | Applying alpha-rule on (989) yields:
% 182.65/111.67  | (990) the_carrier(all_0_55_55) = all_523_2_657
% 182.65/111.67  | (991) powerset(all_523_1_656) = all_523_0_655
% 182.65/111.67  | (992) powerset(all_523_2_657) = all_523_1_656
% 182.65/111.67  | (993)  ! [v0] : ( ~ (element(v0, all_523_0_655) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (complements_of_subsets(all_523_2_657, v0) = v2 & closed_subsets(v0, all_0_55_55) = v1 & open_subsets(v2, all_0_55_55) = v3 & ( ~ (v3 = 0) | v1 = 0) & ( ~ (v1 = 0) | v3 = 0)))
% 182.65/111.67  |
% 182.65/111.67  | Instantiating (846) with all_526_0_658, all_526_1_659, all_526_2_660 yields:
% 182.65/111.67  | (994) the_carrier(all_0_55_55) = all_526_2_660 & powerset(all_526_1_659) = all_526_0_658 & powerset(all_526_2_660) = all_526_1_659 &  ! [v0] : ( ~ (element(v0, all_526_0_658) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (complements_of_subsets(all_526_2_660, v0) = v2 & closed_subsets(v2, all_0_55_55) = v3 & open_subsets(v0, all_0_55_55) = v1 & ( ~ (v3 = 0) | v1 = 0) & ( ~ (v1 = 0) | v3 = 0)))
% 182.65/111.67  |
% 182.65/111.67  | Applying alpha-rule on (994) yields:
% 182.65/111.67  | (995) the_carrier(all_0_55_55) = all_526_2_660
% 182.65/111.67  | (996) powerset(all_526_1_659) = all_526_0_658
% 182.65/111.67  | (997) powerset(all_526_2_660) = all_526_1_659
% 182.65/111.67  | (998)  ! [v0] : ( ~ (element(v0, all_526_0_658) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (complements_of_subsets(all_526_2_660, v0) = v2 & closed_subsets(v2, all_0_55_55) = v3 & open_subsets(v0, all_0_55_55) = v1 & ( ~ (v3 = 0) | v1 = 0) & ( ~ (v1 = 0) | v3 = 0)))
% 182.65/111.67  |
% 182.65/111.67  | Instantiating (834) with all_529_0_661, all_529_1_662, all_529_2_663, all_529_3_664, all_529_4_665, all_529_5_666, all_529_6_667, all_529_7_668 yields:
% 182.65/111.67  | (999) top_str(all_0_55_55) = all_529_6_667 & the_carrier(all_0_55_55) = all_529_5_666 & empty_carrier(all_0_55_55) = all_529_7_668 & powerset(all_529_5_666) = all_529_4_665 & ( ~ (all_529_6_667 = 0) | all_529_7_668 = 0 | (all_529_0_661 = 0 & all_529_2_663 = 0 &  ~ (all_529_1_662 = 0) & closed_subset(all_529_3_664, all_0_55_55) = 0 & empty(all_529_3_664) = all_529_1_662 & element(all_529_3_664, all_529_4_665) = 0))
% 182.65/111.67  |
% 182.65/111.67  | Applying alpha-rule on (999) yields:
% 182.65/111.67  | (1000)  ~ (all_529_6_667 = 0) | all_529_7_668 = 0 | (all_529_0_661 = 0 & all_529_2_663 = 0 &  ~ (all_529_1_662 = 0) & closed_subset(all_529_3_664, all_0_55_55) = 0 & empty(all_529_3_664) = all_529_1_662 & element(all_529_3_664, all_529_4_665) = 0)
% 182.65/111.67  | (1001) powerset(all_529_5_666) = all_529_4_665
% 182.65/111.67  | (1002) top_str(all_0_55_55) = all_529_6_667
% 182.65/111.67  | (1003) the_carrier(all_0_55_55) = all_529_5_666
% 182.65/111.67  | (1004) empty_carrier(all_0_55_55) = all_529_7_668
% 182.65/111.67  |
% 182.65/111.67  | Instantiating (860) with all_541_0_682, all_541_1_683, all_541_2_684, all_541_3_685, all_541_4_686 yields:
% 182.65/111.67  | (1005) meet(all_0_55_55, all_0_50_50, all_0_50_50) = all_541_0_682 & meet_commutative(all_0_55_55) = all_541_3_685 & meet_semilatt_str(all_0_55_55) = all_541_2_684 & meet_commut(all_0_55_55, all_0_50_50, all_0_50_50) = all_541_1_683 & empty_carrier(all_0_55_55) = all_541_4_686 & ( ~ (all_541_2_684 = 0) |  ~ (all_541_3_685 = 0) | all_541_0_682 = all_541_1_683 | all_541_4_686 = 0)
% 182.65/111.67  |
% 182.65/111.67  | Applying alpha-rule on (1005) yields:
% 182.65/111.67  | (1006) meet_commutative(all_0_55_55) = all_541_3_685
% 182.65/111.67  | (1007) meet_semilatt_str(all_0_55_55) = all_541_2_684
% 182.65/111.67  | (1008) meet_commut(all_0_55_55, all_0_50_50, all_0_50_50) = all_541_1_683
% 182.65/111.67  | (1009) empty_carrier(all_0_55_55) = all_541_4_686
% 182.65/111.67  | (1010) meet(all_0_55_55, all_0_50_50, all_0_50_50) = all_541_0_682
% 182.65/111.67  | (1011)  ~ (all_541_2_684 = 0) |  ~ (all_541_3_685 = 0) | all_541_0_682 = all_541_1_683 | all_541_4_686 = 0
% 182.65/111.67  |
% 182.65/111.67  | Instantiating (845) with all_545_0_689, all_545_1_690, all_545_2_691 yields:
% 182.65/111.67  | (1012) the_carrier(all_0_55_55) = all_545_2_691 & powerset(all_545_1_690) = all_545_0_689 & powerset(all_545_2_691) = all_545_1_690 &  ! [v0] : ( ~ (element(v0, all_545_0_689) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (open_subsets(v0, all_0_55_55) = v1 & ( ~ (v1 = 0) |  ! [v6] : ( ~ (element(v6, all_545_1_690) = 0) |  ? [v7] :  ? [v8] : (open_subset(v6, all_0_55_55) = v8 & in(v6, v0) = v7 & ( ~ (v7 = 0) | v8 = 0)))) & (v1 = 0 | (v4 = 0 & v3 = 0 &  ~ (v5 = 0) & open_subset(v2, all_0_55_55) = v5 & element(v2, all_545_1_690) = 0 & in(v2, v0) = 0))))
% 182.65/111.67  |
% 182.65/111.67  | Applying alpha-rule on (1012) yields:
% 182.65/111.67  | (1013) the_carrier(all_0_55_55) = all_545_2_691
% 182.65/111.67  | (1014) powerset(all_545_1_690) = all_545_0_689
% 182.65/111.67  | (1015) powerset(all_545_2_691) = all_545_1_690
% 182.65/111.67  | (1016)  ! [v0] : ( ~ (element(v0, all_545_0_689) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (open_subsets(v0, all_0_55_55) = v1 & ( ~ (v1 = 0) |  ! [v6] : ( ~ (element(v6, all_545_1_690) = 0) |  ? [v7] :  ? [v8] : (open_subset(v6, all_0_55_55) = v8 & in(v6, v0) = v7 & ( ~ (v7 = 0) | v8 = 0)))) & (v1 = 0 | (v4 = 0 & v3 = 0 &  ~ (v5 = 0) & open_subset(v2, all_0_55_55) = v5 & element(v2, all_545_1_690) = 0 & in(v2, v0) = 0))))
% 182.65/111.67  |
% 182.65/111.67  | Instantiating (844) with all_548_0_692, all_548_1_693, all_548_2_694 yields:
% 182.65/111.67  | (1017) the_carrier(all_0_55_55) = all_548_2_694 & powerset(all_548_1_693) = all_548_0_692 & powerset(all_548_2_694) = all_548_1_693 &  ! [v0] : ( ~ (element(v0, all_548_0_692) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (closed_subsets(v0, all_0_55_55) = v1 & ( ~ (v1 = 0) |  ! [v6] : ( ~ (element(v6, all_548_1_693) = 0) |  ? [v7] :  ? [v8] : (closed_subset(v6, all_0_55_55) = v8 & in(v6, v0) = v7 & ( ~ (v7 = 0) | v8 = 0)))) & (v1 = 0 | (v4 = 0 & v3 = 0 &  ~ (v5 = 0) & closed_subset(v2, all_0_55_55) = v5 & element(v2, all_548_1_693) = 0 & in(v2, v0) = 0))))
% 182.65/111.67  |
% 182.65/111.67  | Applying alpha-rule on (1017) yields:
% 182.65/111.67  | (1018) the_carrier(all_0_55_55) = all_548_2_694
% 182.65/111.67  | (1019) powerset(all_548_1_693) = all_548_0_692
% 182.65/111.67  | (1020) powerset(all_548_2_694) = all_548_1_693
% 182.65/111.67  | (1021)  ! [v0] : ( ~ (element(v0, all_548_0_692) = 0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (closed_subsets(v0, all_0_55_55) = v1 & ( ~ (v1 = 0) |  ! [v6] : ( ~ (element(v6, all_548_1_693) = 0) |  ? [v7] :  ? [v8] : (closed_subset(v6, all_0_55_55) = v8 & in(v6, v0) = v7 & ( ~ (v7 = 0) | v8 = 0)))) & (v1 = 0 | (v4 = 0 & v3 = 0 &  ~ (v5 = 0) & closed_subset(v2, all_0_55_55) = v5 & element(v2, all_548_1_693) = 0 & in(v2, v0) = 0))))
% 182.65/111.67  |
% 182.65/111.67  | Instantiating (849) with all_551_0_695, all_551_1_696 yields:
% 182.65/111.67  | (1022) the_carrier(all_0_55_55) = all_551_1_696 & powerset(all_551_1_696) = all_551_0_695 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (closed_subset(v1, all_0_55_55) = v2) |  ~ (subset_complement(all_551_1_696, v0) = v1) |  ? [v3] :  ? [v4] : (open_subset(v0, all_0_55_55) = v4 & element(v0, all_551_0_695) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 182.65/111.67  |
% 182.65/111.67  | Applying alpha-rule on (1022) yields:
% 182.65/111.68  | (1023) the_carrier(all_0_55_55) = all_551_1_696
% 182.65/111.68  | (1024) powerset(all_551_1_696) = all_551_0_695
% 182.65/111.68  | (1025)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (closed_subset(v1, all_0_55_55) = v2) |  ~ (subset_complement(all_551_1_696, v0) = v1) |  ? [v3] :  ? [v4] : (open_subset(v0, all_0_55_55) = v4 & element(v0, all_551_0_695) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 182.65/111.68  |
% 182.65/111.68  | Instantiating (848) with all_554_0_697, all_554_1_698 yields:
% 182.65/111.68  | (1026) the_carrier(all_0_55_55) = all_554_1_698 & powerset(all_554_1_698) = all_554_0_697 &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_complement(all_554_1_698, v2) = v3) |  ~ (subset_complement(all_554_1_698, v0) = v1) |  ~ (topstr_closure(all_0_55_55, v1) = v2) |  ? [v4] :  ? [v5] : (interior(all_0_55_55, v0) = v5 & element(v0, all_554_0_697) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 182.65/111.68  |
% 182.65/111.68  | Applying alpha-rule on (1026) yields:
% 182.65/111.68  | (1027) the_carrier(all_0_55_55) = all_554_1_698
% 182.65/111.68  | (1028) powerset(all_554_1_698) = all_554_0_697
% 182.65/111.68  | (1029)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_complement(all_554_1_698, v2) = v3) |  ~ (subset_complement(all_554_1_698, v0) = v1) |  ~ (topstr_closure(all_0_55_55, v1) = v2) |  ? [v4] :  ? [v5] : (interior(all_0_55_55, v0) = v5 & element(v0, all_554_0_697) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 182.65/111.68  |
% 182.65/111.68  +-Applying beta-rule and splitting (856), into two cases.
% 182.65/111.68  |-Branch one:
% 182.65/111.68  | (1030) all_0_54_54 = 0
% 182.65/111.68  |
% 182.65/111.68  	| Equations (1030) can reduce 71 to:
% 182.65/111.68  	| (1031) $false
% 182.65/111.68  	|
% 182.65/111.68  	|-The branch is then unsatisfiable
% 182.65/111.68  |-Branch two:
% 182.65/111.68  | (71)  ~ (all_0_54_54 = 0)
% 182.65/111.68  | (1033)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (one_sorted_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v2) = v3 & powerset(v1) = v2 & ( ~ (v0 = 0) |  ~ (element(empty_set, v3) = 0) |  ? [v4] : ( ~ (v4 = 0) & is_a_cover_of_carrier(all_0_55_55, empty_set) = v4)))
% 182.65/111.68  |
% 182.65/111.68  	| Instantiating (1033) with all_891_0_1170, all_891_1_1171, all_891_2_1172, all_891_3_1173 yields:
% 182.65/111.68  	| (1034) one_sorted_str(all_0_55_55) = all_891_3_1173 & the_carrier(all_0_55_55) = all_891_2_1172 & powerset(all_891_1_1171) = all_891_0_1170 & powerset(all_891_2_1172) = all_891_1_1171 & ( ~ (all_891_3_1173 = 0) |  ~ (element(empty_set, all_891_0_1170) = 0) |  ? [v0] : ( ~ (v0 = 0) & is_a_cover_of_carrier(all_0_55_55, empty_set) = v0))
% 182.65/111.68  	|
% 182.65/111.68  	| Applying alpha-rule on (1034) yields:
% 182.65/111.68  	| (1035)  ~ (all_891_3_1173 = 0) |  ~ (element(empty_set, all_891_0_1170) = 0) |  ? [v0] : ( ~ (v0 = 0) & is_a_cover_of_carrier(all_0_55_55, empty_set) = v0)
% 182.65/111.68  	| (1036) powerset(all_891_2_1172) = all_891_1_1171
% 182.65/111.68  	| (1037) one_sorted_str(all_0_55_55) = all_891_3_1173
% 182.65/111.68  	| (1038) the_carrier(all_0_55_55) = all_891_2_1172
% 182.65/111.68  	| (1039) powerset(all_891_1_1171) = all_891_0_1170
% 182.65/111.68  	|
% 182.65/111.68  	+-Applying beta-rule and splitting (855), into two cases.
% 182.65/111.68  	|-Branch one:
% 182.65/111.68  	| (1030) all_0_54_54 = 0
% 182.65/111.68  	|
% 182.65/111.68  		| Equations (1030) can reduce 71 to:
% 182.65/111.68  		| (1031) $false
% 182.65/111.68  		|
% 182.65/111.68  		|-The branch is then unsatisfiable
% 182.65/111.68  	|-Branch two:
% 182.65/111.68  	| (71)  ~ (all_0_54_54 = 0)
% 182.65/111.68  	| (1043)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (one_sorted_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v1) = v2 & ( ~ (v0 = 0) | (v4 = 0 &  ~ (v5 = 0) & empty(v3) = v5 & element(v3, v2) = 0)))
% 182.65/111.68  	|
% 182.65/111.68  		| Instantiating (1043) with all_1678_0_2707, all_1678_1_2708, all_1678_2_2709, all_1678_3_2710, all_1678_4_2711, all_1678_5_2712 yields:
% 182.65/111.68  		| (1044) one_sorted_str(all_0_55_55) = all_1678_5_2712 & the_carrier(all_0_55_55) = all_1678_4_2711 & powerset(all_1678_4_2711) = all_1678_3_2710 & ( ~ (all_1678_5_2712 = 0) | (all_1678_1_2708 = 0 &  ~ (all_1678_0_2707 = 0) & empty(all_1678_2_2709) = all_1678_0_2707 & element(all_1678_2_2709, all_1678_3_2710) = 0))
% 182.65/111.68  		|
% 182.65/111.68  		| Applying alpha-rule on (1044) yields:
% 182.65/111.68  		| (1045) one_sorted_str(all_0_55_55) = all_1678_5_2712
% 182.65/111.68  		| (1046) the_carrier(all_0_55_55) = all_1678_4_2711
% 182.65/111.68  		| (1047) powerset(all_1678_4_2711) = all_1678_3_2710
% 182.65/111.68  		| (1048)  ~ (all_1678_5_2712 = 0) | (all_1678_1_2708 = 0 &  ~ (all_1678_0_2707 = 0) & empty(all_1678_2_2709) = all_1678_0_2707 & element(all_1678_2_2709, all_1678_3_2710) = 0)
% 182.65/111.68  		|
% 182.65/111.68  		+-Applying beta-rule and splitting (858), into two cases.
% 182.65/111.68  		|-Branch one:
% 182.65/111.68  		| (1030) all_0_54_54 = 0
% 182.65/111.68  		|
% 182.65/111.68  			| Equations (1030) can reduce 71 to:
% 182.65/111.68  			| (1031) $false
% 182.65/111.68  			|
% 182.65/111.68  			|-The branch is then unsatisfiable
% 182.65/111.68  		|-Branch two:
% 182.65/111.68  		| (71)  ~ (all_0_54_54 = 0)
% 182.65/111.68  		| (1052)  ? [v0] :  ? [v1] :  ? [v2] : (one_sorted_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & empty(v1) = v2 & ( ~ (v2 = 0) |  ~ (v0 = 0)))
% 182.65/111.68  		|
% 182.65/111.68  			| Instantiating (1052) with all_1683_0_2713, all_1683_1_2714, all_1683_2_2715 yields:
% 182.65/111.68  			| (1053) one_sorted_str(all_0_55_55) = all_1683_2_2715 & the_carrier(all_0_55_55) = all_1683_1_2714 & empty(all_1683_1_2714) = all_1683_0_2713 & ( ~ (all_1683_0_2713 = 0) |  ~ (all_1683_2_2715 = 0))
% 182.65/111.68  			|
% 182.65/111.68  			| Applying alpha-rule on (1053) yields:
% 182.65/111.68  			| (1054) one_sorted_str(all_0_55_55) = all_1683_2_2715
% 182.65/111.68  			| (1055) the_carrier(all_0_55_55) = all_1683_1_2714
% 182.65/111.68  			| (1056) empty(all_1683_1_2714) = all_1683_0_2713
% 182.65/111.68  			| (1057)  ~ (all_1683_0_2713 = 0) |  ~ (all_1683_2_2715 = 0)
% 182.65/111.68  			|
% 182.65/111.68  			+-Applying beta-rule and splitting (857), into two cases.
% 182.65/111.68  			|-Branch one:
% 182.65/111.68  			| (1030) all_0_54_54 = 0
% 182.65/111.68  			|
% 182.65/111.68  				| Equations (1030) can reduce 71 to:
% 182.65/111.68  				| (1031) $false
% 182.65/111.68  				|
% 182.65/111.68  				|-The branch is then unsatisfiable
% 182.65/111.68  			|-Branch two:
% 182.65/111.68  			| (71)  ~ (all_0_54_54 = 0)
% 182.65/111.68  			| (1061)  ? [v0] :  ? [v1] :  ? [v2] : (one_sorted_str(all_0_55_55) = v0 & the_carrier(all_0_55_55) = v1 & powerset(v1) = v2 & ( ~ (v0 = 0) |  ! [v3] : ( ~ (element(v3, v2) = 0) |  ? [v4] : (subset_complement(v1, v3) = v4 &  ! [v5] :  ! [v6] : ( ~ (in(v5, v4) = v6) |  ? [v7] :  ? [v8] : (element(v5, v1) = v7 & in(v5, v3) = v8 & ( ~ (v7 = 0) | (( ~ (v8 = 0) |  ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))))))))
% 182.65/111.68  			|
% 182.65/111.68  				| Instantiating (1061) with all_1764_0_2761, all_1764_1_2762, all_1764_2_2763 yields:
% 182.65/111.68  				| (1062) one_sorted_str(all_0_55_55) = all_1764_2_2763 & the_carrier(all_0_55_55) = all_1764_1_2762 & powerset(all_1764_1_2762) = all_1764_0_2761 & ( ~ (all_1764_2_2763 = 0) |  ! [v0] : ( ~ (element(v0, all_1764_0_2761) = 0) |  ? [v1] : (subset_complement(all_1764_1_2762, v0) = v1 &  ! [v2] :  ! [v3] : ( ~ (in(v2, v1) = v3) |  ? [v4] :  ? [v5] : (element(v2, all_1764_1_2762) = v4 & in(v2, v0) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) |  ~ (v3 = 0)) & (v5 = 0 | v3 = 0))))))))
% 182.65/111.68  				|
% 182.65/111.68  				| Applying alpha-rule on (1062) yields:
% 182.65/111.68  				| (1063) one_sorted_str(all_0_55_55) = all_1764_2_2763
% 182.65/111.68  				| (1064) the_carrier(all_0_55_55) = all_1764_1_2762
% 182.65/111.68  				| (1065) powerset(all_1764_1_2762) = all_1764_0_2761
% 182.65/111.68  				| (1066)  ~ (all_1764_2_2763 = 0) |  ! [v0] : ( ~ (element(v0, all_1764_0_2761) = 0) |  ? [v1] : (subset_complement(all_1764_1_2762, v0) = v1 &  ! [v2] :  ! [v3] : ( ~ (in(v2, v1) = v3) |  ? [v4] :  ? [v5] : (element(v2, all_1764_1_2762) = v4 & in(v2, v0) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) |  ~ (v3 = 0)) & (v5 = 0 | v3 = 0)))))))
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (567) with all_0_55_55, all_195_4_210, 0 and discharging atoms topological_space(all_0_55_55) = all_195_4_210, topological_space(all_0_55_55) = 0, yields:
% 182.65/111.68  				| (1067) all_195_4_210 = 0
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (567) with all_0_55_55, all_187_3_197, all_198_3_216 and discharging atoms topological_space(all_0_55_55) = all_198_3_216, topological_space(all_0_55_55) = all_187_3_197, yields:
% 182.65/111.68  				| (1068) all_198_3_216 = all_187_3_197
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (567) with all_0_55_55, all_187_3_197, all_195_4_210 and discharging atoms topological_space(all_0_55_55) = all_195_4_210, topological_space(all_0_55_55) = all_187_3_197, yields:
% 182.65/111.68  				| (1069) all_195_4_210 = all_187_3_197
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (567) with all_0_55_55, all_182_2_185, all_198_3_216 and discharging atoms topological_space(all_0_55_55) = all_198_3_216, topological_space(all_0_55_55) = all_182_2_185, yields:
% 182.65/111.68  				| (1070) all_198_3_216 = all_182_2_185
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_499_5_625, all_529_6_667 and discharging atoms top_str(all_0_55_55) = all_529_6_667, top_str(all_0_55_55) = all_499_5_625, yields:
% 182.65/111.68  				| (1071) all_529_6_667 = all_499_5_625
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_497_3_619, all_499_5_625 and discharging atoms top_str(all_0_55_55) = all_499_5_625, top_str(all_0_55_55) = all_497_3_619, yields:
% 182.65/111.68  				| (1072) all_499_5_625 = all_497_3_619
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_495_3_615, all_497_3_619 and discharging atoms top_str(all_0_55_55) = all_497_3_619, top_str(all_0_55_55) = all_495_3_615, yields:
% 182.65/111.68  				| (1073) all_497_3_619 = all_495_3_615
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_493_2_611, all_495_3_615 and discharging atoms top_str(all_0_55_55) = all_495_3_615, top_str(all_0_55_55) = all_493_2_611, yields:
% 182.65/111.68  				| (1074) all_495_3_615 = all_493_2_611
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_491_2_608, all_493_2_611 and discharging atoms top_str(all_0_55_55) = all_493_2_611, top_str(all_0_55_55) = all_491_2_608, yields:
% 182.65/111.68  				| (1075) all_493_2_611 = all_491_2_608
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_482_6_594, all_491_2_608 and discharging atoms top_str(all_0_55_55) = all_491_2_608, top_str(all_0_55_55) = all_482_6_594, yields:
% 182.65/111.68  				| (1076) all_491_2_608 = all_482_6_594
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_480_5_587, all_482_6_594 and discharging atoms top_str(all_0_55_55) = all_482_6_594, top_str(all_0_55_55) = all_480_5_587, yields:
% 182.65/111.68  				| (1077) all_482_6_594 = all_480_5_587
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_478_2_580, all_480_5_587 and discharging atoms top_str(all_0_55_55) = all_480_5_587, top_str(all_0_55_55) = all_478_2_580, yields:
% 182.65/111.68  				| (1078) all_480_5_587 = all_478_2_580
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_250_2_256, all_478_2_580 and discharging atoms top_str(all_0_55_55) = all_478_2_580, top_str(all_0_55_55) = all_250_2_256, yields:
% 182.65/111.68  				| (1079) all_478_2_580 = all_250_2_256
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_198_2_215, all_529_6_667 and discharging atoms top_str(all_0_55_55) = all_529_6_667, top_str(all_0_55_55) = all_198_2_215, yields:
% 182.65/111.68  				| (1080) all_529_6_667 = all_198_2_215
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_195_3_209, all_250_2_256 and discharging atoms top_str(all_0_55_55) = all_250_2_256, top_str(all_0_55_55) = all_195_3_209, yields:
% 182.65/111.68  				| (1081) all_250_2_256 = all_195_3_209
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_187_2_196, 0 and discharging atoms top_str(all_0_55_55) = all_187_2_196, top_str(all_0_55_55) = 0, yields:
% 182.65/111.68  				| (1082) all_187_2_196 = 0
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_187_2_196, all_250_2_256 and discharging atoms top_str(all_0_55_55) = all_250_2_256, top_str(all_0_55_55) = all_187_2_196, yields:
% 182.65/111.68  				| (1083) all_250_2_256 = all_187_2_196
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (766) with all_0_55_55, all_182_1_184, all_250_2_256 and discharging atoms top_str(all_0_55_55) = all_250_2_256, top_str(all_0_55_55) = all_182_1_184, yields:
% 182.65/111.68  				| (1084) all_250_2_256 = all_182_1_184
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (186) with all_0_55_55, all_1683_1_2714, all_1764_1_2762 and discharging atoms the_carrier(all_0_55_55) = all_1764_1_2762, the_carrier(all_0_55_55) = all_1683_1_2714, yields:
% 182.65/111.68  				| (1085) all_1764_1_2762 = all_1683_1_2714
% 182.65/111.68  				|
% 182.65/111.68  				| Instantiating formula (186) with all_0_55_55, all_1678_4_2711, all_1764_1_2762 and discharging atoms the_carrier(all_0_55_55) = all_1764_1_2762, the_carrier(all_0_55_55) = all_1678_4_2711, yields:
% 182.65/111.69  				| (1086) all_1764_1_2762 = all_1678_4_2711
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_891_2_1172, all_1764_1_2762 and discharging atoms the_carrier(all_0_55_55) = all_1764_1_2762, the_carrier(all_0_55_55) = all_891_2_1172, yields:
% 182.65/111.69  				| (1087) all_1764_1_2762 = all_891_2_1172
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_554_1_698, all_891_2_1172 and discharging atoms the_carrier(all_0_55_55) = all_891_2_1172, the_carrier(all_0_55_55) = all_554_1_698, yields:
% 182.65/111.69  				| (1088) all_891_2_1172 = all_554_1_698
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_551_1_696, all_554_1_698 and discharging atoms the_carrier(all_0_55_55) = all_554_1_698, the_carrier(all_0_55_55) = all_551_1_696, yields:
% 182.65/111.69  				| (1089) all_554_1_698 = all_551_1_696
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_548_2_694, all_551_1_696 and discharging atoms the_carrier(all_0_55_55) = all_551_1_696, the_carrier(all_0_55_55) = all_548_2_694, yields:
% 182.65/111.69  				| (1090) all_551_1_696 = all_548_2_694
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_545_2_691, all_548_2_694 and discharging atoms the_carrier(all_0_55_55) = all_548_2_694, the_carrier(all_0_55_55) = all_545_2_691, yields:
% 182.65/111.69  				| (1091) all_548_2_694 = all_545_2_691
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_526_2_660, all_529_5_666 and discharging atoms the_carrier(all_0_55_55) = all_529_5_666, the_carrier(all_0_55_55) = all_526_2_660, yields:
% 182.65/111.69  				| (1092) all_529_5_666 = all_526_2_660
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_523_2_657, all_0_53_53 and discharging atoms the_carrier(all_0_55_55) = all_523_2_657, the_carrier(all_0_55_55) = all_0_53_53, yields:
% 182.65/111.69  				| (1093) all_523_2_657 = all_0_53_53
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_523_2_657, all_545_2_691 and discharging atoms the_carrier(all_0_55_55) = all_545_2_691, the_carrier(all_0_55_55) = all_523_2_657, yields:
% 182.65/111.69  				| (1094) all_545_2_691 = all_523_2_657
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_520_1_654, all_526_2_660 and discharging atoms the_carrier(all_0_55_55) = all_526_2_660, the_carrier(all_0_55_55) = all_520_1_654, yields:
% 182.65/111.69  				| (1095) all_526_2_660 = all_520_1_654
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_508_1_633, all_517_1_652 and discharging atoms the_carrier(all_0_55_55) = all_517_1_652, the_carrier(all_0_55_55) = all_508_1_633, yields:
% 182.65/111.69  				| (1096) all_517_1_652 = all_508_1_633
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_505_1_631, all_520_1_654 and discharging atoms the_carrier(all_0_55_55) = all_520_1_654, the_carrier(all_0_55_55) = all_505_1_631, yields:
% 182.65/111.69  				| (1097) all_520_1_654 = all_505_1_631
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_499_4_624, all_508_1_633 and discharging atoms the_carrier(all_0_55_55) = all_508_1_633, the_carrier(all_0_55_55) = all_499_4_624, yields:
% 182.65/111.69  				| (1098) all_508_1_633 = all_499_4_624
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_497_2_618, all_1683_1_2714 and discharging atoms the_carrier(all_0_55_55) = all_1683_1_2714, the_carrier(all_0_55_55) = all_497_2_618, yields:
% 182.65/111.69  				| (1099) all_1683_1_2714 = all_497_2_618
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_495_2_614, all_517_1_652 and discharging atoms the_carrier(all_0_55_55) = all_517_1_652, the_carrier(all_0_55_55) = all_495_2_614, yields:
% 182.65/111.69  				| (1100) all_517_1_652 = all_495_2_614
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_493_1_610, all_505_1_631 and discharging atoms the_carrier(all_0_55_55) = all_505_1_631, the_carrier(all_0_55_55) = all_493_1_610, yields:
% 182.65/111.69  				| (1101) all_505_1_631 = all_493_1_610
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_491_1_607, all_523_2_657 and discharging atoms the_carrier(all_0_55_55) = all_523_2_657, the_carrier(all_0_55_55) = all_491_1_607, yields:
% 182.65/111.69  				| (1102) all_523_2_657 = all_491_1_607
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_482_5_593, all_499_4_624 and discharging atoms the_carrier(all_0_55_55) = all_499_4_624, the_carrier(all_0_55_55) = all_482_5_593, yields:
% 182.65/111.69  				| (1103) all_499_4_624 = all_482_5_593
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_482_5_593, all_493_1_610 and discharging atoms the_carrier(all_0_55_55) = all_493_1_610, the_carrier(all_0_55_55) = all_482_5_593, yields:
% 182.65/111.69  				| (1104) all_493_1_610 = all_482_5_593
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_480_4_586, all_529_5_666 and discharging atoms the_carrier(all_0_55_55) = all_529_5_666, the_carrier(all_0_55_55) = all_480_4_586, yields:
% 182.65/111.69  				| (1105) all_529_5_666 = all_480_4_586
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_478_1_579, all_482_5_593 and discharging atoms the_carrier(all_0_55_55) = all_482_5_593, the_carrier(all_0_55_55) = all_478_1_579, yields:
% 182.65/111.69  				| (1106) all_482_5_593 = all_478_1_579
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_250_1_255, all_482_5_593 and discharging atoms the_carrier(all_0_55_55) = all_482_5_593, the_carrier(all_0_55_55) = all_250_1_255, yields:
% 182.65/111.69  				| (1107) all_482_5_593 = all_250_1_255
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_142_1_157, all_491_1_607 and discharging atoms the_carrier(all_0_55_55) = all_491_1_607, the_carrier(all_0_55_55) = all_142_1_157, yields:
% 182.65/111.69  				| (1108) all_491_1_607 = all_142_1_157
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_142_1_157, all_250_1_255 and discharging atoms the_carrier(all_0_55_55) = all_250_1_255, the_carrier(all_0_55_55) = all_142_1_157, yields:
% 182.65/111.69  				| (1109) all_250_1_255 = all_142_1_157
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (186) with all_0_55_55, all_97_1_120, all_499_4_624 and discharging atoms the_carrier(all_0_55_55) = all_499_4_624, the_carrier(all_0_55_55) = all_97_1_120, yields:
% 182.65/111.69  				| (1110) all_499_4_624 = all_97_1_120
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (550) with all_0_55_55, all_515_4_650, all_0_54_54 and discharging atoms empty_carrier(all_0_55_55) = all_515_4_650, empty_carrier(all_0_55_55) = all_0_54_54, yields:
% 182.65/111.69  				| (1111) all_515_4_650 = all_0_54_54
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (550) with all_0_55_55, all_515_4_650, all_529_7_668 and discharging atoms empty_carrier(all_0_55_55) = all_529_7_668, empty_carrier(all_0_55_55) = all_515_4_650, yields:
% 182.65/111.69  				| (1112) all_529_7_668 = all_515_4_650
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (550) with all_0_55_55, all_513_4_645, all_541_4_686 and discharging atoms empty_carrier(all_0_55_55) = all_541_4_686, empty_carrier(all_0_55_55) = all_513_4_645, yields:
% 182.65/111.69  				| (1113) all_541_4_686 = all_513_4_645
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (550) with all_0_55_55, all_513_4_645, all_515_4_650 and discharging atoms empty_carrier(all_0_55_55) = all_515_4_650, empty_carrier(all_0_55_55) = all_513_4_645, yields:
% 182.65/111.69  				| (1114) all_515_4_650 = all_513_4_645
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (550) with all_0_55_55, all_478_3_581, all_515_4_650 and discharging atoms empty_carrier(all_0_55_55) = all_515_4_650, empty_carrier(all_0_55_55) = all_478_3_581, yields:
% 182.65/111.69  				| (1115) all_515_4_650 = all_478_3_581
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (550) with all_0_55_55, all_184_4_191, all_529_7_668 and discharging atoms empty_carrier(all_0_55_55) = all_529_7_668, empty_carrier(all_0_55_55) = all_184_4_191, yields:
% 182.65/111.69  				| (1116) all_529_7_668 = all_184_4_191
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (550) with all_0_55_55, all_182_3_186, all_541_4_686 and discharging atoms empty_carrier(all_0_55_55) = all_541_4_686, empty_carrier(all_0_55_55) = all_182_3_186, yields:
% 182.65/111.69  				| (1117) all_541_4_686 = all_182_3_186
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (693) with all_0_53_53, all_1678_3_2710, all_0_52_52 and discharging atoms powerset(all_0_53_53) = all_0_52_52, yields:
% 182.65/111.69  				| (1118) all_1678_3_2710 = all_0_52_52 |  ~ (powerset(all_0_53_53) = all_1678_3_2710)
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (693) with all_517_1_652, all_517_0_651, all_1678_3_2710 and discharging atoms powerset(all_517_1_652) = all_517_0_651, yields:
% 182.65/111.69  				| (1119) all_1678_3_2710 = all_517_0_651 |  ~ (powerset(all_517_1_652) = all_1678_3_2710)
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (693) with all_508_1_633, all_508_0_632, all_517_0_651 and discharging atoms powerset(all_508_1_633) = all_508_0_632, yields:
% 182.65/111.69  				| (1120) all_517_0_651 = all_508_0_632 |  ~ (powerset(all_508_1_633) = all_517_0_651)
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (693) with all_505_1_631, all_505_0_630, all_891_1_1171 and discharging atoms powerset(all_505_1_631) = all_505_0_630, yields:
% 182.65/111.69  				| (1121) all_891_1_1171 = all_505_0_630 |  ~ (powerset(all_505_1_631) = all_891_1_1171)
% 182.65/111.69  				|
% 182.65/111.69  				| Instantiating formula (693) with all_97_1_120, all_97_0_119, all_891_1_1171 and discharging atoms powerset(all_97_1_120) = all_97_0_119, yields:
% 182.65/111.69  				| (1122) all_891_1_1171 = all_97_0_119 |  ~ (powerset(all_97_1_120) = all_891_1_1171)
% 182.65/111.69  				|
% 183.04/111.69  				| Instantiating formula (693) with all_97_1_120, all_97_0_119, all_250_0_254 and discharging atoms powerset(all_97_1_120) = all_97_0_119, yields:
% 183.04/111.69  				| (1123) all_250_0_254 = all_97_0_119 |  ~ (powerset(all_97_1_120) = all_250_0_254)
% 183.04/111.69  				|
% 183.04/111.69  				| Instantiating formula (693) with all_0_53_53, all_182_0_183, all_0_52_52 and discharging atoms powerset(all_0_53_53) = all_182_0_183, powerset(all_0_53_53) = all_0_52_52, yields:
% 183.04/111.69  				| (1124) all_182_0_183 = all_0_52_52
% 183.04/111.69  				|
% 183.04/111.69  				| Instantiating formula (693) with all_0_53_53, all_182_0_183, all_554_0_697 and discharging atoms powerset(all_0_53_53) = all_182_0_183, yields:
% 183.04/111.69  				| (1125) all_554_0_697 = all_182_0_183 |  ~ (powerset(all_0_53_53) = all_554_0_697)
% 183.04/111.69  				|
% 183.04/111.69  				| Instantiating formula (693) with all_0_53_53, all_182_0_183, all_497_1_617 and discharging atoms powerset(all_0_53_53) = all_182_0_183, yields:
% 183.04/111.69  				| (1126) all_497_1_617 = all_182_0_183 |  ~ (powerset(all_0_53_53) = all_497_1_617)
% 183.04/111.69  				|
% 183.04/111.69  				| Instantiating formula (693) with all_0_53_53, all_182_0_183, all_493_0_609 and discharging atoms powerset(all_0_53_53) = all_182_0_183, yields:
% 183.04/111.69  				| (1127) all_493_0_609 = all_182_0_183 |  ~ (powerset(all_0_53_53) = all_493_0_609)
% 183.04/111.69  				|
% 183.04/111.69  				| Instantiating formula (693) with all_0_53_53, all_182_0_183, all_478_0_578 and discharging atoms powerset(all_0_53_53) = all_182_0_183, yields:
% 183.04/111.69  				| (1128) all_478_0_578 = all_182_0_183 |  ~ (powerset(all_0_53_53) = all_478_0_578)
% 183.04/111.69  				|
% 183.04/111.69  				| Instantiating formula (693) with all_0_53_53, all_182_0_183, all_250_0_254 and discharging atoms powerset(all_0_53_53) = all_182_0_183, yields:
% 183.04/111.69  				| (1129) all_250_0_254 = all_182_0_183 |  ~ (powerset(all_0_53_53) = all_250_0_254)
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1085,1086) yields a new equation:
% 183.04/111.69  				| (1130) all_1683_1_2714 = all_1678_4_2711
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1130 yields:
% 183.04/111.69  				| (1131) all_1683_1_2714 = all_1678_4_2711
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1087,1086) yields a new equation:
% 183.04/111.69  				| (1132) all_1678_4_2711 = all_891_2_1172
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1131,1099) yields a new equation:
% 183.04/111.69  				| (1133) all_1678_4_2711 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1133 yields:
% 183.04/111.69  				| (1134) all_1678_4_2711 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1132,1134) yields a new equation:
% 183.04/111.69  				| (1135) all_891_2_1172 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1135 yields:
% 183.04/111.69  				| (1136) all_891_2_1172 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1088,1136) yields a new equation:
% 183.04/111.69  				| (1137) all_554_1_698 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1137 yields:
% 183.04/111.69  				| (1138) all_554_1_698 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1089,1138) yields a new equation:
% 183.04/111.69  				| (1139) all_551_1_696 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1139 yields:
% 183.04/111.69  				| (1140) all_551_1_696 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1090,1140) yields a new equation:
% 183.04/111.69  				| (1141) all_548_2_694 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1141 yields:
% 183.04/111.69  				| (1142) all_548_2_694 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1091,1142) yields a new equation:
% 183.04/111.69  				| (1143) all_545_2_691 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1143 yields:
% 183.04/111.69  				| (1144) all_545_2_691 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1094,1144) yields a new equation:
% 183.04/111.69  				| (1145) all_523_2_657 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1145 yields:
% 183.04/111.69  				| (1146) all_523_2_657 = all_497_2_618
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1113,1117) yields a new equation:
% 183.04/111.69  				| (1147) all_513_4_645 = all_182_3_186
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1147 yields:
% 183.04/111.69  				| (1148) all_513_4_645 = all_182_3_186
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1092,1105) yields a new equation:
% 183.04/111.69  				| (1149) all_526_2_660 = all_480_4_586
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1149 yields:
% 183.04/111.69  				| (1150) all_526_2_660 = all_480_4_586
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1071,1080) yields a new equation:
% 183.04/111.69  				| (1151) all_499_5_625 = all_198_2_215
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1151 yields:
% 183.04/111.69  				| (1152) all_499_5_625 = all_198_2_215
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1112,1116) yields a new equation:
% 183.04/111.69  				| (1153) all_515_4_650 = all_184_4_191
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1153 yields:
% 183.04/111.69  				| (1154) all_515_4_650 = all_184_4_191
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1095,1150) yields a new equation:
% 183.04/111.69  				| (1155) all_520_1_654 = all_480_4_586
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1155 yields:
% 183.04/111.69  				| (1156) all_520_1_654 = all_480_4_586
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1093,1146) yields a new equation:
% 183.04/111.69  				| (1157) all_497_2_618 = all_0_53_53
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1102,1146) yields a new equation:
% 183.04/111.69  				| (1158) all_497_2_618 = all_491_1_607
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1097,1156) yields a new equation:
% 183.04/111.69  				| (1159) all_505_1_631 = all_480_4_586
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1159 yields:
% 183.04/111.69  				| (1160) all_505_1_631 = all_480_4_586
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1096,1100) yields a new equation:
% 183.04/111.69  				| (1161) all_508_1_633 = all_495_2_614
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1161 yields:
% 183.04/111.69  				| (1162) all_508_1_633 = all_495_2_614
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1111,1115) yields a new equation:
% 183.04/111.69  				| (1163) all_478_3_581 = all_0_54_54
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1114,1115) yields a new equation:
% 183.04/111.69  				| (1164) all_513_4_645 = all_478_3_581
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1164 yields:
% 183.04/111.69  				| (1165) all_513_4_645 = all_478_3_581
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1154,1115) yields a new equation:
% 183.04/111.69  				| (1166) all_478_3_581 = all_184_4_191
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1165,1148) yields a new equation:
% 183.04/111.69  				| (1167) all_478_3_581 = all_182_3_186
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1167 yields:
% 183.04/111.69  				| (1168) all_478_3_581 = all_182_3_186
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1098,1162) yields a new equation:
% 183.04/111.69  				| (1169) all_499_4_624 = all_495_2_614
% 183.04/111.69  				|
% 183.04/111.69  				| Simplifying 1169 yields:
% 183.04/111.69  				| (1170) all_499_4_624 = all_495_2_614
% 183.04/111.69  				|
% 183.04/111.69  				| Combining equations (1101,1160) yields a new equation:
% 183.04/111.70  				| (1171) all_493_1_610 = all_480_4_586
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1171 yields:
% 183.04/111.70  				| (1172) all_493_1_610 = all_480_4_586
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1110,1170) yields a new equation:
% 183.04/111.70  				| (1173) all_495_2_614 = all_97_1_120
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1103,1170) yields a new equation:
% 183.04/111.70  				| (1174) all_495_2_614 = all_482_5_593
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1072,1152) yields a new equation:
% 183.04/111.70  				| (1175) all_497_3_619 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1175 yields:
% 183.04/111.70  				| (1176) all_497_3_619 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1158,1157) yields a new equation:
% 183.04/111.70  				| (1177) all_491_1_607 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1177 yields:
% 183.04/111.70  				| (1178) all_491_1_607 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1073,1176) yields a new equation:
% 183.04/111.70  				| (1179) all_495_3_615 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1179 yields:
% 183.04/111.70  				| (1180) all_495_3_615 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1174,1173) yields a new equation:
% 183.04/111.70  				| (1181) all_482_5_593 = all_97_1_120
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1181 yields:
% 183.04/111.70  				| (1182) all_482_5_593 = all_97_1_120
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1074,1180) yields a new equation:
% 183.04/111.70  				| (1183) all_493_2_611 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1183 yields:
% 183.04/111.70  				| (1184) all_493_2_611 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1104,1172) yields a new equation:
% 183.04/111.70  				| (1185) all_482_5_593 = all_480_4_586
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1185 yields:
% 183.04/111.70  				| (1186) all_482_5_593 = all_480_4_586
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1075,1184) yields a new equation:
% 183.04/111.70  				| (1187) all_491_2_608 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1187 yields:
% 183.04/111.70  				| (1188) all_491_2_608 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1108,1178) yields a new equation:
% 183.04/111.70  				| (1189) all_142_1_157 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1189 yields:
% 183.04/111.70  				| (1190) all_142_1_157 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1076,1188) yields a new equation:
% 183.04/111.70  				| (1191) all_482_6_594 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1191 yields:
% 183.04/111.70  				| (1192) all_482_6_594 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1107,1186) yields a new equation:
% 183.04/111.70  				| (1193) all_480_4_586 = all_250_1_255
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1106,1186) yields a new equation:
% 183.04/111.70  				| (1194) all_480_4_586 = all_478_1_579
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1182,1186) yields a new equation:
% 183.04/111.70  				| (1195) all_480_4_586 = all_97_1_120
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1077,1192) yields a new equation:
% 183.04/111.70  				| (1196) all_480_5_587 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1196 yields:
% 183.04/111.70  				| (1197) all_480_5_587 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1193,1194) yields a new equation:
% 183.04/111.70  				| (1198) all_478_1_579 = all_250_1_255
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1195,1194) yields a new equation:
% 183.04/111.70  				| (1199) all_478_1_579 = all_97_1_120
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1078,1197) yields a new equation:
% 183.04/111.70  				| (1200) all_478_2_580 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1200 yields:
% 183.04/111.70  				| (1201) all_478_2_580 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1198,1199) yields a new equation:
% 183.04/111.70  				| (1202) all_250_1_255 = all_97_1_120
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1202 yields:
% 183.04/111.70  				| (1203) all_250_1_255 = all_97_1_120
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1079,1201) yields a new equation:
% 183.04/111.70  				| (1204) all_250_2_256 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1204 yields:
% 183.04/111.70  				| (1205) all_250_2_256 = all_198_2_215
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1163,1166) yields a new equation:
% 183.04/111.70  				| (1206) all_184_4_191 = all_0_54_54
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1168,1166) yields a new equation:
% 183.04/111.70  				| (1207) all_184_4_191 = all_182_3_186
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1109,1203) yields a new equation:
% 183.04/111.70  				| (1208) all_142_1_157 = all_97_1_120
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1208 yields:
% 183.04/111.70  				| (1209) all_142_1_157 = all_97_1_120
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1081,1205) yields a new equation:
% 183.04/111.70  				| (1210) all_198_2_215 = all_195_3_209
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1084,1205) yields a new equation:
% 183.04/111.70  				| (1211) all_198_2_215 = all_182_1_184
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1083,1205) yields a new equation:
% 183.04/111.70  				| (1212) all_198_2_215 = all_187_2_196
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1211,1210) yields a new equation:
% 183.04/111.70  				| (1213) all_195_3_209 = all_182_1_184
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1212,1210) yields a new equation:
% 183.04/111.70  				| (1214) all_195_3_209 = all_187_2_196
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1068,1070) yields a new equation:
% 183.04/111.70  				| (1215) all_187_3_197 = all_182_2_185
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1215 yields:
% 183.04/111.70  				| (1216) all_187_3_197 = all_182_2_185
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1214,1213) yields a new equation:
% 183.04/111.70  				| (1217) all_187_2_196 = all_182_1_184
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1217 yields:
% 183.04/111.70  				| (1218) all_187_2_196 = all_182_1_184
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1069,1067) yields a new equation:
% 183.04/111.70  				| (1219) all_187_3_197 = 0
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1219 yields:
% 183.04/111.70  				| (1220) all_187_3_197 = 0
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1082,1218) yields a new equation:
% 183.04/111.70  				| (1221) all_182_1_184 = 0
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1220,1216) yields a new equation:
% 183.04/111.70  				| (1222) all_182_2_185 = 0
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1207,1206) yields a new equation:
% 183.04/111.70  				| (1223) all_182_3_186 = all_0_54_54
% 183.04/111.70  				|
% 183.04/111.70  				| Simplifying 1223 yields:
% 183.04/111.70  				| (1224) all_182_3_186 = all_0_54_54
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1190,1209) yields a new equation:
% 183.04/111.70  				| (1225) all_97_1_120 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1221,1213) yields a new equation:
% 183.04/111.70  				| (1226) all_195_3_209 = 0
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1226,1210) yields a new equation:
% 183.04/111.70  				| (1227) all_198_2_215 = 0
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1225,1203) yields a new equation:
% 183.04/111.70  				| (1228) all_250_1_255 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1206,1166) yields a new equation:
% 183.04/111.70  				| (1163) all_478_3_581 = all_0_54_54
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1227,1201) yields a new equation:
% 183.04/111.70  				| (1230) all_478_2_580 = 0
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1225,1199) yields a new equation:
% 183.04/111.70  				| (1231) all_478_1_579 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1231,1194) yields a new equation:
% 183.04/111.70  				| (1232) all_480_4_586 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1227,1184) yields a new equation:
% 183.04/111.70  				| (1233) all_493_2_611 = 0
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1232,1172) yields a new equation:
% 183.04/111.70  				| (1234) all_493_1_610 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1225,1173) yields a new equation:
% 183.04/111.70  				| (1235) all_495_2_614 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1232,1160) yields a new equation:
% 183.04/111.70  				| (1236) all_505_1_631 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1235,1162) yields a new equation:
% 183.04/111.70  				| (1237) all_508_1_633 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1235,1100) yields a new equation:
% 183.04/111.70  				| (1238) all_517_1_652 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1206,1116) yields a new equation:
% 183.04/111.70  				| (1239) all_529_7_668 = all_0_54_54
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1227,1080) yields a new equation:
% 183.04/111.70  				| (1240) all_529_6_667 = 0
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1157,1138) yields a new equation:
% 183.04/111.70  				| (1241) all_554_1_698 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1157,1136) yields a new equation:
% 183.04/111.70  				| (1242) all_891_2_1172 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| Combining equations (1157,1134) yields a new equation:
% 183.04/111.70  				| (1243) all_1678_4_2711 = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| From (1221) and (879) follows:
% 183.04/111.70  				| (720) top_str(all_0_55_55) = 0
% 183.04/111.70  				|
% 183.04/111.70  				| From (1225) and (869) follows:
% 183.04/111.70  				| (64) the_carrier(all_0_55_55) = all_0_53_53
% 183.04/111.70  				|
% 183.04/111.70  				| From (1243) and (1047) follows:
% 183.04/111.70  				| (1246) powerset(all_0_53_53) = all_1678_3_2710
% 183.04/111.70  				|
% 183.04/111.70  				| From (1242) and (1036) follows:
% 183.04/111.70  				| (1247) powerset(all_0_53_53) = all_891_1_1171
% 183.04/111.70  				|
% 183.04/111.70  				| From (1241) and (1028) follows:
% 183.04/111.70  				| (1248) powerset(all_0_53_53) = all_554_0_697
% 183.04/111.70  				|
% 183.04/111.70  				| From (1236) and (958) follows:
% 183.04/111.70  				| (1249) powerset(all_0_53_53) = all_505_0_630
% 183.04/111.70  				|
% 183.04/111.70  				| From (1157) and (946) follows:
% 183.04/111.70  				| (1250) powerset(all_0_53_53) = all_497_1_617
% 183.04/111.70  				|
% 183.04/111.70  				| From (1234) and (937) follows:
% 183.04/111.70  				| (1251) powerset(all_0_53_53) = all_493_0_609
% 183.04/111.70  				|
% 183.04/111.70  				| From (1231) and (916) follows:
% 183.04/111.70  				| (1252) powerset(all_0_53_53) = all_478_0_578
% 183.04/111.70  				|
% 183.04/111.70  				| From (1228) and (911) follows:
% 183.04/111.70  				| (1253) powerset(all_0_53_53) = all_250_0_254
% 183.04/111.70  				|
% 183.04/111.70  				+-Applying beta-rule and splitting (938), into two cases.
% 183.04/111.70  				|-Branch one:
% 183.04/111.70  				| (1254)  ~ (all_493_2_611 = 0)
% 183.04/111.70  				|
% 183.04/111.70  					| Equations (1233) can reduce 1254 to:
% 183.04/111.70  					| (1031) $false
% 183.04/111.70  					|
% 183.04/111.70  					|-The branch is then unsatisfiable
% 183.04/111.70  				|-Branch two:
% 183.04/111.70  				| (1233) all_493_2_611 = 0
% 183.04/111.70  				| (1257)  ! [v0] : ( ~ (top_str(v0) = 0) |  ? [v1] :  ? [v2] : (the_carrier(v0) = v1 & powerset(v1) = v2 &  ! [v3] : ( ~ (element(v3, all_493_0_609) = 0) |  ? [v4] :  ? [v5] : (interior(all_0_55_55, v3) = v4 & open_subset(v3, all_0_55_55) = v5 &  ! [v6] : ( ~ (v4 = v3) | v5 = 0 |  ~ (element(v6, v2) = 0)) &  ! [v6] : ( ~ (element(v6, v2) = 0) |  ? [v7] :  ? [v8] : (interior(v0, v6) = v8 & open_subset(v6, v0) = v7 & ( ~ (v7 = 0) | v8 = v6)))))))
% 183.04/111.70  				|
% 183.04/111.70  					| Instantiating formula (1257) with all_0_2_2 and discharging atoms top_str(all_0_2_2) = 0, yields:
% 183.04/111.70  					| (1258)  ? [v0] :  ? [v1] : (the_carrier(all_0_2_2) = v0 & powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, all_493_0_609) = 0) |  ? [v3] :  ? [v4] : (interior(all_0_55_55, v2) = v3 & open_subset(v2, all_0_55_55) = v4 &  ! [v5] : ( ~ (v3 = v2) | v4 = 0 |  ~ (element(v5, v1) = 0)) &  ! [v5] : ( ~ (element(v5, v1) = 0) |  ? [v6] :  ? [v7] : (interior(all_0_2_2, v5) = v7 & open_subset(v5, all_0_2_2) = v6 & ( ~ (v6 = 0) | v7 = v5))))))
% 183.04/111.70  					|
% 183.04/111.70  					| Instantiating formula (1257) with all_0_55_55 and discharging atoms top_str(all_0_55_55) = 0, yields:
% 183.04/111.70  					| (1259)  ? [v0] :  ? [v1] : (the_carrier(all_0_55_55) = v0 & powerset(v0) = v1 &  ! [v2] : ( ~ (element(v2, all_493_0_609) = 0) |  ? [v3] :  ? [v4] : (interior(all_0_55_55, v2) = v3 & open_subset(v2, all_0_55_55) = v4 &  ! [v5] : ( ~ (v3 = v2) | v4 = 0 |  ~ (element(v5, v1) = 0)) &  ! [v5] : ( ~ (element(v5, v1) = 0) |  ? [v6] :  ? [v7] : (interior(all_0_55_55, v5) = v7 & open_subset(v5, all_0_55_55) = v6 & ( ~ (v6 = 0) | v7 = v5))))))
% 183.04/111.70  					|
% 183.04/111.70  					| Instantiating (1259) with all_1812_0_2824, all_1812_1_2825 yields:
% 183.04/111.70  					| (1260) the_carrier(all_0_55_55) = all_1812_1_2825 & powerset(all_1812_1_2825) = all_1812_0_2824 &  ! [v0] : ( ~ (element(v0, all_493_0_609) = 0) |  ? [v1] :  ? [v2] : (interior(all_0_55_55, v0) = v1 & open_subset(v0, all_0_55_55) = v2 &  ! [v3] : ( ~ (v1 = v0) | v2 = 0 |  ~ (element(v3, all_1812_0_2824) = 0)) &  ! [v3] : ( ~ (element(v3, all_1812_0_2824) = 0) |  ? [v4] :  ? [v5] : (interior(all_0_55_55, v3) = v5 & open_subset(v3, all_0_55_55) = v4 & ( ~ (v4 = 0) | v5 = v3)))))
% 183.04/111.71  					|
% 183.04/111.71  					| Applying alpha-rule on (1260) yields:
% 183.04/111.71  					| (1261) the_carrier(all_0_55_55) = all_1812_1_2825
% 183.04/111.71  					| (1262) powerset(all_1812_1_2825) = all_1812_0_2824
% 183.04/111.71  					| (1263)  ! [v0] : ( ~ (element(v0, all_493_0_609) = 0) |  ? [v1] :  ? [v2] : (interior(all_0_55_55, v0) = v1 & open_subset(v0, all_0_55_55) = v2 &  ! [v3] : ( ~ (v1 = v0) | v2 = 0 |  ~ (element(v3, all_1812_0_2824) = 0)) &  ! [v3] : ( ~ (element(v3, all_1812_0_2824) = 0) |  ? [v4] :  ? [v5] : (interior(all_0_55_55, v3) = v5 & open_subset(v3, all_0_55_55) = v4 & ( ~ (v4 = 0) | v5 = v3)))))
% 183.04/111.71  					|
% 183.04/111.71  					| Instantiating formula (1263) with all_0_51_51 yields:
% 183.04/111.71  					| (1264)  ~ (element(all_0_51_51, all_493_0_609) = 0) |  ? [v0] :  ? [v1] : (interior(all_0_55_55, all_0_51_51) = v0 & open_subset(all_0_51_51, all_0_55_55) = v1 &  ! [v2] : ( ~ (v0 = all_0_51_51) | v1 = 0 |  ~ (element(v2, all_1812_0_2824) = 0)) &  ! [v2] : ( ~ (element(v2, all_1812_0_2824) = 0) |  ? [v3] :  ? [v4] : (interior(all_0_55_55, v2) = v4 & open_subset(v2, all_0_55_55) = v3 & ( ~ (v3 = 0) | v4 = v2))))
% 183.04/111.71  					|
% 183.04/111.71  					| Instantiating (1258) with all_1815_0_2826, all_1815_1_2827 yields:
% 183.04/111.71  					| (1265) the_carrier(all_0_2_2) = all_1815_1_2827 & powerset(all_1815_1_2827) = all_1815_0_2826 &  ! [v0] : ( ~ (element(v0, all_493_0_609) = 0) |  ? [v1] :  ? [v2] : (interior(all_0_55_55, v0) = v1 & open_subset(v0, all_0_55_55) = v2 &  ! [v3] : ( ~ (v1 = v0) | v2 = 0 |  ~ (element(v3, all_1815_0_2826) = 0)) &  ! [v3] : ( ~ (element(v3, all_1815_0_2826) = 0) |  ? [v4] :  ? [v5] : (interior(all_0_2_2, v3) = v5 & open_subset(v3, all_0_2_2) = v4 & ( ~ (v4 = 0) | v5 = v3)))))
% 183.04/111.71  					|
% 183.04/111.71  					| Applying alpha-rule on (1265) yields:
% 183.04/111.71  					| (1266) the_carrier(all_0_2_2) = all_1815_1_2827
% 183.04/111.71  					| (1267) powerset(all_1815_1_2827) = all_1815_0_2826
% 183.04/111.71  					| (1268)  ! [v0] : ( ~ (element(v0, all_493_0_609) = 0) |  ? [v1] :  ? [v2] : (interior(all_0_55_55, v0) = v1 & open_subset(v0, all_0_55_55) = v2 &  ! [v3] : ( ~ (v1 = v0) | v2 = 0 |  ~ (element(v3, all_1815_0_2826) = 0)) &  ! [v3] : ( ~ (element(v3, all_1815_0_2826) = 0) |  ? [v4] :  ? [v5] : (interior(all_0_2_2, v3) = v5 & open_subset(v3, all_0_2_2) = v4 & ( ~ (v4 = 0) | v5 = v3)))))
% 183.04/111.71  					|
% 183.04/111.71  					| Instantiating formula (1268) with all_0_51_51 yields:
% 183.04/111.71  					| (1269)  ~ (element(all_0_51_51, all_493_0_609) = 0) |  ? [v0] :  ? [v1] : (interior(all_0_55_55, all_0_51_51) = v0 & open_subset(all_0_51_51, all_0_55_55) = v1 &  ! [v2] : ( ~ (v0 = all_0_51_51) | v1 = 0 |  ~ (element(v2, all_1815_0_2826) = 0)) &  ! [v2] : ( ~ (element(v2, all_1815_0_2826) = 0) |  ? [v3] :  ? [v4] : (interior(all_0_2_2, v2) = v4 & open_subset(v2, all_0_2_2) = v3 & ( ~ (v3 = 0) | v4 = v2))))
% 183.04/111.71  					|
% 183.04/111.71  					+-Applying beta-rule and splitting (1118), into two cases.
% 183.04/111.71  					|-Branch one:
% 183.04/111.71  					| (1270)  ~ (powerset(all_0_53_53) = all_1678_3_2710)
% 183.04/111.71  					|
% 183.04/111.71  						| Using (1246) and (1270) yields:
% 183.04/111.71  						| (1271) $false
% 183.04/111.71  						|
% 183.04/111.71  						|-The branch is then unsatisfiable
% 183.04/111.71  					|-Branch two:
% 183.04/111.71  					| (1246) powerset(all_0_53_53) = all_1678_3_2710
% 183.04/111.71  					| (1273) all_1678_3_2710 = all_0_52_52
% 183.04/111.71  					|
% 183.04/111.71  						+-Applying beta-rule and splitting (883), into two cases.
% 183.04/111.71  						|-Branch one:
% 183.04/111.71  						| (1274)  ~ (all_182_1_184 = 0)
% 183.04/111.71  						|
% 183.04/111.71  							| Equations (1221) can reduce 1274 to:
% 183.04/111.71  							| (1031) $false
% 183.04/111.71  							|
% 183.04/111.71  							|-The branch is then unsatisfiable
% 183.04/111.71  						|-Branch two:
% 183.04/111.71  						| (1221) all_182_1_184 = 0
% 183.04/111.71  						| (1277)  ~ (all_182_2_185 = 0) | all_182_3_186 = 0 |  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (element(v0, all_182_0_183) = v1) |  ? [v2] : ( ~ (v2 = 0) & point_neighbourhood(v0, all_0_55_55, all_0_50_50) = v2))
% 183.04/111.71  						|
% 183.04/111.71  							+-Applying beta-rule and splitting (1277), into two cases.
% 183.04/111.71  							|-Branch one:
% 183.04/111.71  							| (1278)  ~ (all_182_2_185 = 0)
% 183.04/111.71  							|
% 183.04/111.71  								| Equations (1222) can reduce 1278 to:
% 183.04/111.71  								| (1031) $false
% 183.04/111.71  								|
% 183.04/111.71  								|-The branch is then unsatisfiable
% 183.04/111.71  							|-Branch two:
% 183.04/111.71  							| (1222) all_182_2_185 = 0
% 183.04/111.71  							| (1281) all_182_3_186 = 0 |  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (element(v0, all_182_0_183) = v1) |  ? [v2] : ( ~ (v2 = 0) & point_neighbourhood(v0, all_0_55_55, all_0_50_50) = v2))
% 183.04/111.71  							|
% 183.04/111.71  								+-Applying beta-rule and splitting (1281), into two cases.
% 183.04/111.71  								|-Branch one:
% 183.04/111.71  								| (1282) all_182_3_186 = 0
% 183.04/111.71  								|
% 183.04/111.71  									| Combining equations (1224,1282) yields a new equation:
% 183.04/111.71  									| (1283) all_0_54_54 = 0
% 183.04/111.71  									|
% 183.04/111.71  									| Simplifying 1283 yields:
% 183.04/111.71  									| (1030) all_0_54_54 = 0
% 183.04/111.71  									|
% 183.04/111.71  									| Equations (1030) can reduce 71 to:
% 183.04/111.71  									| (1031) $false
% 183.04/111.71  									|
% 183.04/111.71  									|-The branch is then unsatisfiable
% 183.04/111.71  								|-Branch two:
% 183.04/111.71  								| (1286)  ~ (all_182_3_186 = 0)
% 183.04/111.71  								| (1287)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (element(v0, all_182_0_183) = v1) |  ? [v2] : ( ~ (v2 = 0) & point_neighbourhood(v0, all_0_55_55, all_0_50_50) = v2))
% 183.04/111.71  								|
% 183.04/111.71  									| Equations (1224) can reduce 1286 to:
% 183.04/111.71  									| (71)  ~ (all_0_54_54 = 0)
% 183.04/111.71  									|
% 183.04/111.71  									+-Applying beta-rule and splitting (1000), into two cases.
% 183.04/111.71  									|-Branch one:
% 183.04/111.71  									| (1289)  ~ (all_529_6_667 = 0)
% 183.04/111.71  									|
% 183.04/111.71  										| Equations (1240) can reduce 1289 to:
% 183.04/111.71  										| (1031) $false
% 183.04/111.71  										|
% 183.04/111.71  										|-The branch is then unsatisfiable
% 183.04/111.71  									|-Branch two:
% 183.04/111.71  									| (1240) all_529_6_667 = 0
% 183.04/111.71  									| (1292) all_529_7_668 = 0 | (all_529_0_661 = 0 & all_529_2_663 = 0 &  ~ (all_529_1_662 = 0) & closed_subset(all_529_3_664, all_0_55_55) = 0 & empty(all_529_3_664) = all_529_1_662 & element(all_529_3_664, all_529_4_665) = 0)
% 183.04/111.71  									|
% 183.04/111.71  										+-Applying beta-rule and splitting (1292), into two cases.
% 183.04/111.71  										|-Branch one:
% 183.04/111.71  										| (1293) all_529_7_668 = 0
% 183.04/111.71  										|
% 183.04/111.71  											| Combining equations (1293,1239) yields a new equation:
% 183.04/111.71  											| (1030) all_0_54_54 = 0
% 183.04/111.71  											|
% 183.04/111.71  											| Equations (1030) can reduce 71 to:
% 183.04/111.71  											| (1031) $false
% 183.04/111.71  											|
% 183.04/111.71  											|-The branch is then unsatisfiable
% 183.04/111.71  										|-Branch two:
% 183.04/111.71  										| (1296)  ~ (all_529_7_668 = 0)
% 183.04/111.71  										| (1297) all_529_0_661 = 0 & all_529_2_663 = 0 &  ~ (all_529_1_662 = 0) & closed_subset(all_529_3_664, all_0_55_55) = 0 & empty(all_529_3_664) = all_529_1_662 & element(all_529_3_664, all_529_4_665) = 0
% 183.04/111.71  										|
% 183.04/111.71  											| Equations (1239) can reduce 1296 to:
% 183.04/111.71  											| (71)  ~ (all_0_54_54 = 0)
% 183.04/111.71  											|
% 183.04/111.71  											+-Applying beta-rule and splitting (918), into two cases.
% 183.04/111.71  											|-Branch one:
% 183.04/111.71  											| (1299)  ~ (all_478_2_580 = 0)
% 183.04/111.71  											|
% 183.04/111.71  												| Equations (1230) can reduce 1299 to:
% 183.04/111.71  												| (1031) $false
% 183.04/111.71  												|
% 183.04/111.71  												|-The branch is then unsatisfiable
% 183.04/111.71  											|-Branch two:
% 183.04/111.71  											| (1230) all_478_2_580 = 0
% 183.04/111.71  											| (1302) all_478_3_581 = 0 |  ! [v0] :  ! [v1] : ( ~ (element(v1, all_478_0_578) = 0) |  ~ (element(v0, all_478_1_579) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : (point_neighbourhood(v1, all_0_55_55, v0) = v2 & interior(all_0_55_55, v1) = v3 & in(v0, v3) = v4 & ( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))
% 183.04/111.71  											|
% 183.04/111.71  												+-Applying beta-rule and splitting (1302), into two cases.
% 183.04/111.71  												|-Branch one:
% 183.04/111.71  												| (1303) all_478_3_581 = 0
% 183.04/111.71  												|
% 183.04/111.71  													| Combining equations (1303,1163) yields a new equation:
% 183.04/111.71  													| (1030) all_0_54_54 = 0
% 183.04/111.71  													|
% 183.04/111.71  													| Equations (1030) can reduce 71 to:
% 183.04/111.71  													| (1031) $false
% 183.04/111.71  													|
% 183.04/111.71  													|-The branch is then unsatisfiable
% 183.04/111.71  												|-Branch two:
% 183.04/111.71  												| (1306)  ~ (all_478_3_581 = 0)
% 183.04/111.71  												| (1307)  ! [v0] :  ! [v1] : ( ~ (element(v1, all_478_0_578) = 0) |  ~ (element(v0, all_478_1_579) = 0) |  ? [v2] :  ? [v3] :  ? [v4] : (point_neighbourhood(v1, all_0_55_55, v0) = v2 & interior(all_0_55_55, v1) = v3 & in(v0, v3) = v4 & ( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))
% 183.04/111.71  												|
% 183.04/111.71  													| Instantiating formula (1307) with all_0_51_51, all_0_50_50 yields:
% 183.04/111.71  													| (1308)  ~ (element(all_0_50_50, all_478_1_579) = 0) |  ~ (element(all_0_51_51, all_478_0_578) = 0) |  ? [v0] :  ? [v1] :  ? [v2] : (point_neighbourhood(all_0_51_51, all_0_55_55, all_0_50_50) = v0 & interior(all_0_55_55, all_0_51_51) = v1 & in(all_0_50_50, v1) = v2 & ( ~ (v2 = 0) | v0 = 0) & ( ~ (v0 = 0) | v2 = 0))
% 183.04/111.71  													|
% 183.04/111.71  													+-Applying beta-rule and splitting (1122), into two cases.
% 183.04/111.71  													|-Branch one:
% 183.04/111.71  													| (1309)  ~ (powerset(all_97_1_120) = all_891_1_1171)
% 183.04/111.71  													|
% 183.04/111.71  														| From (1225) and (1309) follows:
% 183.04/111.71  														| (1310)  ~ (powerset(all_0_53_53) = all_891_1_1171)
% 183.04/111.71  														|
% 183.04/111.71  														| Using (1247) and (1310) yields:
% 183.04/111.71  														| (1271) $false
% 183.04/111.71  														|
% 183.04/111.71  														|-The branch is then unsatisfiable
% 183.04/111.71  													|-Branch two:
% 183.04/111.71  													| (1312) powerset(all_97_1_120) = all_891_1_1171
% 183.04/111.71  													| (1313) all_891_1_1171 = all_97_0_119
% 183.04/111.71  													|
% 183.04/111.71  														+-Applying beta-rule and splitting (1123), into two cases.
% 183.04/111.71  														|-Branch one:
% 183.04/111.71  														| (1314)  ~ (powerset(all_97_1_120) = all_250_0_254)
% 183.04/111.71  														|
% 183.04/111.71  															| From (1225) and (1314) follows:
% 183.04/111.71  															| (1315)  ~ (powerset(all_0_53_53) = all_250_0_254)
% 183.04/111.71  															|
% 183.04/111.71  															| Using (1253) and (1315) yields:
% 183.04/111.71  															| (1271) $false
% 183.04/111.71  															|
% 183.04/111.71  															|-The branch is then unsatisfiable
% 183.04/111.71  														|-Branch two:
% 183.04/111.71  														| (1317) powerset(all_97_1_120) = all_250_0_254
% 183.04/111.71  														| (1318) all_250_0_254 = all_97_0_119
% 183.04/111.71  														|
% 183.04/111.71  															| From (1318) and (1253) follows:
% 183.04/111.71  															| (1319) powerset(all_0_53_53) = all_97_0_119
% 183.04/111.71  															|
% 183.04/111.71  															+-Applying beta-rule and splitting (1129), into two cases.
% 183.04/111.71  															|-Branch one:
% 183.04/111.71  															| (1315)  ~ (powerset(all_0_53_53) = all_250_0_254)
% 183.04/111.71  															|
% 183.04/111.71  																| From (1318) and (1315) follows:
% 183.04/111.71  																| (1321)  ~ (powerset(all_0_53_53) = all_97_0_119)
% 183.04/111.71  																|
% 183.04/111.71  																| Using (1319) and (1321) yields:
% 183.04/111.71  																| (1271) $false
% 183.04/111.71  																|
% 183.04/111.71  																|-The branch is then unsatisfiable
% 183.04/111.71  															|-Branch two:
% 183.04/111.71  															| (1253) powerset(all_0_53_53) = all_250_0_254
% 183.04/111.71  															| (1324) all_250_0_254 = all_182_0_183
% 183.04/111.71  															|
% 183.04/111.71  																| Combining equations (1324,1318) yields a new equation:
% 183.04/111.71  																| (1325) all_182_0_183 = all_97_0_119
% 183.04/111.71  																|
% 183.04/111.71  																| Simplifying 1325 yields:
% 183.04/111.71  																| (1326) all_182_0_183 = all_97_0_119
% 183.04/111.71  																|
% 183.04/111.71  																| Combining equations (1326,1124) yields a new equation:
% 183.04/111.71  																| (1327) all_97_0_119 = all_0_52_52
% 183.04/111.71  																|
% 183.04/111.71  																| Simplifying 1327 yields:
% 183.04/111.71  																| (1328) all_97_0_119 = all_0_52_52
% 183.04/111.71  																|
% 183.04/111.71  																| Combining equations (1328,1313) yields a new equation:
% 183.04/111.71  																| (1329) all_891_1_1171 = all_0_52_52
% 183.04/111.71  																|
% 183.04/111.71  																| From (1328) and (1319) follows:
% 183.04/111.71  																| (154) powerset(all_0_53_53) = all_0_52_52
% 183.04/111.71  																|
% 183.04/111.71  																+-Applying beta-rule and splitting (872), into two cases.
% 183.04/111.71  																|-Branch one:
% 183.04/111.71  																| (1331)  ~ (element(all_0_51_51, all_97_0_119) = 0)
% 183.04/111.71  																|
% 183.04/111.71  																	| From (1328) and (1331) follows:
% 183.04/111.71  																	| (1332)  ~ (element(all_0_51_51, all_0_52_52) = 0)
% 183.04/111.71  																	|
% 183.04/111.71  																	| Using (805) and (1332) yields:
% 183.04/111.72  																	| (1271) $false
% 183.04/111.72  																	|
% 183.04/111.72  																	|-The branch is then unsatisfiable
% 183.04/111.72  																|-Branch two:
% 183.04/111.72  																| (1334) element(all_0_51_51, all_97_0_119) = 0
% 183.04/111.72  																| (1335)  ? [v0] : (topstr_closure(all_0_55_55, all_0_51_51) = v0 &  ! [v1] : (v1 = v0 |  ~ (element(v1, all_97_0_119) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (in(v2, v1) = v3 & in(v2, all_97_1_120) = 0 & ( ~ (v3 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & open_subset(v4, all_0_55_55) = 0 & disjoint(all_0_51_51, v4) = 0 & element(v4, all_97_0_119) = 0 & in(v2, v4) = 0)) & (v3 = 0 |  ! [v9] : ( ~ (element(v9, all_97_0_119) = 0) |  ? [v10] :  ? [v11] :  ? [v12] : (open_subset(v9, all_0_55_55) = v10 & disjoint(all_0_51_51, v9) = v12 & in(v2, v9) = v11 & ( ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0))))))) &  ! [v1] : ( ~ (element(v0, all_97_0_119) = 0) |  ~ (in(v1, all_97_1_120) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (in(v1, v0) = v2 & ( ~ (v2 = 0) |  ! [v8] : ( ~ (element(v8, all_97_0_119) = 0) |  ? [v9] :  ? [v10] :  ? [v11] : (open_subset(v8, all_0_55_55) = v9 & disjoint(all_0_51_51, v8) = v11 & in(v1, v8) = v10 & ( ~ (v11 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0))))) & (v2 = 0 | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & open_subset(v3, all_0_55_55) = 0 & disjoint(all_0_51_51, v3) = 0 & element(v3, all_97_0_119) = 0 & in(v1, v3) = 0)))))
% 183.04/111.72  																|
% 183.04/111.72  																	| From (1328) and (1334) follows:
% 183.04/111.72  																	| (805) element(all_0_51_51, all_0_52_52) = 0
% 183.04/111.72  																	|
% 183.04/111.72  																	+-Applying beta-rule and splitting (1121), into two cases.
% 183.04/111.72  																	|-Branch one:
% 183.04/111.72  																	| (1337)  ~ (powerset(all_505_1_631) = all_891_1_1171)
% 183.04/111.72  																	|
% 183.04/111.72  																		| From (1236)(1329) and (1337) follows:
% 183.04/111.72  																		| (1338)  ~ (powerset(all_0_53_53) = all_0_52_52)
% 183.04/111.72  																		|
% 183.04/111.72  																		| Using (154) and (1338) yields:
% 183.04/111.72  																		| (1271) $false
% 183.04/111.72  																		|
% 183.04/111.72  																		|-The branch is then unsatisfiable
% 183.04/111.72  																	|-Branch two:
% 183.04/111.72  																	| (1340) powerset(all_505_1_631) = all_891_1_1171
% 183.04/111.72  																	| (1341) all_891_1_1171 = all_505_0_630
% 183.04/111.72  																	|
% 183.04/111.72  																		| Combining equations (1329,1341) yields a new equation:
% 183.04/111.72  																		| (1342) all_505_0_630 = all_0_52_52
% 183.04/111.72  																		|
% 183.04/111.72  																		| From (1342) and (1249) follows:
% 183.04/111.72  																		| (154) powerset(all_0_53_53) = all_0_52_52
% 183.04/111.72  																		|
% 183.04/111.72  																		+-Applying beta-rule and splitting (1119), into two cases.
% 183.04/111.72  																		|-Branch one:
% 183.04/111.72  																		| (1344)  ~ (powerset(all_517_1_652) = all_1678_3_2710)
% 183.04/111.72  																		|
% 183.04/111.72  																			| From (1238)(1273) and (1344) follows:
% 183.04/111.72  																			| (1338)  ~ (powerset(all_0_53_53) = all_0_52_52)
% 183.04/111.72  																			|
% 183.04/111.72  																			| Using (154) and (1338) yields:
% 183.04/111.72  																			| (1271) $false
% 183.04/111.72  																			|
% 183.04/111.72  																			|-The branch is then unsatisfiable
% 183.04/111.72  																		|-Branch two:
% 183.04/111.72  																		| (1347) powerset(all_517_1_652) = all_1678_3_2710
% 183.04/111.72  																		| (1348) all_1678_3_2710 = all_517_0_651
% 183.04/111.72  																		|
% 183.04/111.72  																			| Combining equations (1348,1273) yields a new equation:
% 183.04/111.72  																			| (1349) all_517_0_651 = all_0_52_52
% 183.04/111.72  																			|
% 183.04/111.72  																			| Simplifying 1349 yields:
% 183.04/111.72  																			| (1350) all_517_0_651 = all_0_52_52
% 183.04/111.72  																			|
% 183.04/111.72  																			+-Applying beta-rule and splitting (960), into two cases.
% 183.04/111.72  																			|-Branch one:
% 183.04/111.72  																			| (1351)  ~ (element(all_0_51_51, all_505_0_630) = 0)
% 183.04/111.72  																			|
% 183.04/111.72  																				| From (1342) and (1351) follows:
% 183.04/111.72  																				| (1332)  ~ (element(all_0_51_51, all_0_52_52) = 0)
% 183.04/111.72  																				|
% 183.04/111.72  																				| Using (805) and (1332) yields:
% 183.04/111.72  																				| (1271) $false
% 183.04/111.72  																				|
% 183.04/111.72  																				|-The branch is then unsatisfiable
% 183.04/111.72  																			|-Branch two:
% 183.04/111.72  																			| (1354) element(all_0_51_51, all_505_0_630) = 0
% 183.04/111.72  																			| (1355)  ? [v0] : (topstr_closure(all_0_55_55, all_0_51_51) = v0 &  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (in(v1, v0) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : ((v6 = 0 & v5 = 0 & v4 = 0 &  ~ (v7 = 0) & closed_subset(v3, all_0_55_55) = 0 & subset(all_0_51_51, v3) = 0 & element(v3, all_505_0_630) = 0 & in(v1, v3) = v7) | ( ~ (v3 = 0) & in(v1, all_505_1_631) = v3))) &  ! [v1] :  ! [v2] : ( ~ (element(v2, all_505_0_630) = 0) |  ~ (in(v1, v0) = 0) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v3 = 0) & in(v1, all_505_1_631) = v3) | (closed_subset(v2, all_0_55_55) = v3 & subset(all_0_51_51, v2) = v4 & in(v1, v2) = v5 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))))
% 183.04/111.72  																			|
% 183.04/111.72  																				| From (1342) and (1354) follows:
% 183.04/111.72  																				| (805) element(all_0_51_51, all_0_52_52) = 0
% 183.04/111.72  																				|
% 183.04/111.72  																				+-Applying beta-rule and splitting (984), into two cases.
% 183.04/111.72  																				|-Branch one:
% 183.04/111.72  																				| (1357)  ~ (element(all_0_51_51, all_517_0_651) = 0)
% 183.04/111.72  																				|
% 183.04/111.72  																					| From (1350) and (1357) follows:
% 183.04/111.72  																					| (1332)  ~ (element(all_0_51_51, all_0_52_52) = 0)
% 183.04/111.72  																					|
% 183.04/111.72  																					| Using (805) and (1332) yields:
% 183.04/111.72  																					| (1271) $false
% 183.04/111.72  																					|
% 183.04/111.72  																					|-The branch is then unsatisfiable
% 183.04/111.72  																				|-Branch two:
% 183.04/111.72  																				| (1360) element(all_0_51_51, all_517_0_651) = 0
% 183.04/111.72  																				| (1361)  ? [v0] : (interior(all_0_55_55, all_0_51_51) = v0 & subset(v0, all_0_51_51) = 0)
% 183.04/111.72  																				|
% 183.04/111.72  																					| Instantiating (1361) with all_2642_0_2888 yields:
% 183.04/111.72  																					| (1362) interior(all_0_55_55, all_0_51_51) = all_2642_0_2888 & subset(all_2642_0_2888, all_0_51_51) = 0
% 183.04/111.72  																					|
% 183.04/111.72  																					| Applying alpha-rule on (1362) yields:
% 183.04/111.72  																					| (1363) interior(all_0_55_55, all_0_51_51) = all_2642_0_2888
% 183.04/111.72  																					| (1364) subset(all_2642_0_2888, all_0_51_51) = 0
% 183.04/111.72  																					|
% 183.04/111.72  																					| From (1350) and (1360) follows:
% 183.04/111.72  																					| (805) element(all_0_51_51, all_0_52_52) = 0
% 183.04/111.72  																					|
% 183.04/111.72  																					+-Applying beta-rule and splitting (1125), into two cases.
% 183.04/111.72  																					|-Branch one:
% 183.04/111.72  																					| (1366)  ~ (powerset(all_0_53_53) = all_554_0_697)
% 183.04/111.72  																					|
% 183.04/111.72  																						| Using (1248) and (1366) yields:
% 183.04/111.72  																						| (1271) $false
% 183.04/111.72  																						|
% 183.04/111.72  																						|-The branch is then unsatisfiable
% 183.04/111.72  																					|-Branch two:
% 183.04/111.72  																					| (1248) powerset(all_0_53_53) = all_554_0_697
% 183.04/111.72  																					| (1369) all_554_0_697 = all_182_0_183
% 183.04/111.72  																					|
% 183.04/111.72  																						| Combining equations (1124,1369) yields a new equation:
% 183.04/111.72  																						| (1370) all_554_0_697 = all_0_52_52
% 183.04/111.72  																						|
% 183.04/111.72  																						| From (1370) and (1248) follows:
% 183.04/111.72  																						| (154) powerset(all_0_53_53) = all_0_52_52
% 183.04/111.72  																						|
% 183.04/111.72  																						+-Applying beta-rule and splitting (1120), into two cases.
% 183.04/111.72  																						|-Branch one:
% 183.04/111.72  																						| (1372)  ~ (powerset(all_508_1_633) = all_517_0_651)
% 183.04/111.72  																						|
% 183.04/111.72  																							| From (1237)(1350) and (1372) follows:
% 183.04/111.72  																							| (1338)  ~ (powerset(all_0_53_53) = all_0_52_52)
% 183.04/111.72  																							|
% 183.04/111.72  																							| Using (154) and (1338) yields:
% 183.04/111.72  																							| (1271) $false
% 183.04/111.72  																							|
% 183.04/111.72  																							|-The branch is then unsatisfiable
% 183.04/111.72  																						|-Branch two:
% 183.04/111.72  																						| (1375) powerset(all_508_1_633) = all_517_0_651
% 183.04/111.72  																						| (1376) all_517_0_651 = all_508_0_632
% 183.04/111.72  																						|
% 183.04/111.72  																							| Combining equations (1376,1350) yields a new equation:
% 183.04/111.72  																							| (1377) all_508_0_632 = all_0_52_52
% 183.04/111.72  																							|
% 183.04/111.72  																							| Simplifying 1377 yields:
% 183.04/111.72  																							| (1378) all_508_0_632 = all_0_52_52
% 183.04/111.72  																							|
% 183.04/111.72  																							+-Applying beta-rule and splitting (1128), into two cases.
% 183.04/111.72  																							|-Branch one:
% 183.04/111.72  																							| (1379)  ~ (powerset(all_0_53_53) = all_478_0_578)
% 183.04/111.72  																							|
% 183.04/111.72  																								| Using (1252) and (1379) yields:
% 183.04/111.72  																								| (1271) $false
% 183.04/111.72  																								|
% 183.04/111.72  																								|-The branch is then unsatisfiable
% 183.04/111.72  																							|-Branch two:
% 183.04/111.72  																							| (1252) powerset(all_0_53_53) = all_478_0_578
% 183.04/111.72  																							| (1382) all_478_0_578 = all_182_0_183
% 183.04/111.72  																							|
% 183.04/111.72  																								| Combining equations (1124,1382) yields a new equation:
% 183.04/111.72  																								| (1383) all_478_0_578 = all_0_52_52
% 183.04/111.72  																								|
% 183.04/111.72  																								+-Applying beta-rule and splitting (1127), into two cases.
% 183.04/111.72  																								|-Branch one:
% 183.04/111.72  																								| (1384)  ~ (powerset(all_0_53_53) = all_493_0_609)
% 183.04/111.72  																								|
% 183.04/111.72  																									| Using (1251) and (1384) yields:
% 183.04/111.72  																									| (1271) $false
% 183.04/111.72  																									|
% 183.04/111.72  																									|-The branch is then unsatisfiable
% 183.04/111.72  																								|-Branch two:
% 183.04/111.72  																								| (1251) powerset(all_0_53_53) = all_493_0_609
% 183.04/111.72  																								| (1387) all_493_0_609 = all_182_0_183
% 183.04/111.72  																								|
% 183.04/111.72  																									| Combining equations (1124,1387) yields a new equation:
% 183.04/111.72  																									| (1388) all_493_0_609 = all_0_52_52
% 183.04/111.72  																									|
% 183.04/111.72  																									+-Applying beta-rule and splitting (1264), into two cases.
% 183.04/111.72  																									|-Branch one:
% 183.04/111.72  																									| (1389)  ~ (element(all_0_51_51, all_493_0_609) = 0)
% 183.04/111.72  																									|
% 183.04/111.72  																										| From (1388) and (1389) follows:
% 183.04/111.72  																										| (1332)  ~ (element(all_0_51_51, all_0_52_52) = 0)
% 183.04/111.72  																										|
% 183.04/111.72  																										| Using (805) and (1332) yields:
% 183.04/111.72  																										| (1271) $false
% 183.04/111.72  																										|
% 183.04/111.72  																										|-The branch is then unsatisfiable
% 183.04/111.72  																									|-Branch two:
% 183.04/111.72  																									| (1392) element(all_0_51_51, all_493_0_609) = 0
% 183.04/111.72  																									| (1393)  ? [v0] :  ? [v1] : (interior(all_0_55_55, all_0_51_51) = v0 & open_subset(all_0_51_51, all_0_55_55) = v1 &  ! [v2] : ( ~ (v0 = all_0_51_51) | v1 = 0 |  ~ (element(v2, all_1812_0_2824) = 0)) &  ! [v2] : ( ~ (element(v2, all_1812_0_2824) = 0) |  ? [v3] :  ? [v4] : (interior(all_0_55_55, v2) = v4 & open_subset(v2, all_0_55_55) = v3 & ( ~ (v3 = 0) | v4 = v2))))
% 183.04/111.72  																									|
% 183.04/111.72  																										| From (1388) and (1392) follows:
% 183.04/111.72  																										| (805) element(all_0_51_51, all_0_52_52) = 0
% 183.04/111.72  																										|
% 183.04/111.72  																										+-Applying beta-rule and splitting (1269), into two cases.
% 183.04/111.72  																										|-Branch one:
% 183.04/111.72  																										| (1389)  ~ (element(all_0_51_51, all_493_0_609) = 0)
% 183.04/111.72  																										|
% 183.04/111.72  																											| From (1388) and (1389) follows:
% 183.04/111.72  																											| (1332)  ~ (element(all_0_51_51, all_0_52_52) = 0)
% 183.04/111.72  																											|
% 183.04/111.72  																											| Using (805) and (1332) yields:
% 183.04/111.72  																											| (1271) $false
% 183.04/111.72  																											|
% 183.04/111.72  																											|-The branch is then unsatisfiable
% 183.04/111.72  																										|-Branch two:
% 183.04/111.72  																										| (1392) element(all_0_51_51, all_493_0_609) = 0
% 183.04/111.72  																										| (1399)  ? [v0] :  ? [v1] : (interior(all_0_55_55, all_0_51_51) = v0 & open_subset(all_0_51_51, all_0_55_55) = v1 &  ! [v2] : ( ~ (v0 = all_0_51_51) | v1 = 0 |  ~ (element(v2, all_1815_0_2826) = 0)) &  ! [v2] : ( ~ (element(v2, all_1815_0_2826) = 0) |  ? [v3] :  ? [v4] : (interior(all_0_2_2, v2) = v4 & open_subset(v2, all_0_2_2) = v3 & ( ~ (v3 = 0) | v4 = v2))))
% 183.04/111.72  																										|
% 183.04/111.72  																											| Instantiating (1393) with all_2787_0_2891, all_2787_1_2892 yields:
% 183.04/111.72  																											| (1400) interior(all_0_55_55, all_0_51_51) = all_2787_1_2892 & open_subset(all_0_51_51, all_0_55_55) = all_2787_0_2891 &  ! [v0] : ( ~ (all_2787_1_2892 = all_0_51_51) | all_2787_0_2891 = 0 |  ~ (element(v0, all_1812_0_2824) = 0)) &  ! [v0] : ( ~ (element(v0, all_1812_0_2824) = 0) |  ? [v1] :  ? [v2] : (interior(all_0_55_55, v0) = v2 & open_subset(v0, all_0_55_55) = v1 & ( ~ (v1 = 0) | v2 = v0)))
% 183.04/111.72  																											|
% 183.04/111.72  																											| Applying alpha-rule on (1400) yields:
% 183.04/111.72  																											| (1401) interior(all_0_55_55, all_0_51_51) = all_2787_1_2892
% 183.04/111.72  																											| (1402) open_subset(all_0_51_51, all_0_55_55) = all_2787_0_2891
% 183.04/111.72  																											| (1403)  ! [v0] : ( ~ (all_2787_1_2892 = all_0_51_51) | all_2787_0_2891 = 0 |  ~ (element(v0, all_1812_0_2824) = 0))
% 183.04/111.72  																											| (1404)  ! [v0] : ( ~ (element(v0, all_1812_0_2824) = 0) |  ? [v1] :  ? [v2] : (interior(all_0_55_55, v0) = v2 & open_subset(v0, all_0_55_55) = v1 & ( ~ (v1 = 0) | v2 = v0)))
% 183.04/111.73  																											|
% 183.04/111.73  																											| Instantiating formula (1404) with all_0_51_51 yields:
% 183.04/111.73  																											| (1405)  ~ (element(all_0_51_51, all_1812_0_2824) = 0) |  ? [v0] :  ? [v1] : (interior(all_0_55_55, all_0_51_51) = v1 & open_subset(all_0_51_51, all_0_55_55) = v0 & ( ~ (v0 = 0) | v1 = all_0_51_51))
% 183.04/111.73  																											|
% 183.04/111.73  																											| Instantiating (1399) with all_2790_0_2893, all_2790_1_2894 yields:
% 183.04/111.73  																											| (1406) interior(all_0_55_55, all_0_51_51) = all_2790_1_2894 & open_subset(all_0_51_51, all_0_55_55) = all_2790_0_2893 &  ! [v0] : ( ~ (all_2790_1_2894 = all_0_51_51) | all_2790_0_2893 = 0 |  ~ (element(v0, all_1815_0_2826) = 0)) &  ! [v0] : ( ~ (element(v0, all_1815_0_2826) = 0) |  ? [v1] :  ? [v2] : (interior(all_0_2_2, v0) = v2 & open_subset(v0, all_0_2_2) = v1 & ( ~ (v1 = 0) | v2 = v0)))
% 183.04/111.73  																											|
% 183.04/111.73  																											| Applying alpha-rule on (1406) yields:
% 183.04/111.73  																											| (1407) interior(all_0_55_55, all_0_51_51) = all_2790_1_2894
% 183.04/111.73  																											| (1408) open_subset(all_0_51_51, all_0_55_55) = all_2790_0_2893
% 183.04/111.73  																											| (1409)  ! [v0] : ( ~ (all_2790_1_2894 = all_0_51_51) | all_2790_0_2893 = 0 |  ~ (element(v0, all_1815_0_2826) = 0))
% 183.04/111.73  																											| (1410)  ! [v0] : ( ~ (element(v0, all_1815_0_2826) = 0) |  ? [v1] :  ? [v2] : (interior(all_0_2_2, v0) = v2 & open_subset(v0, all_0_2_2) = v1 & ( ~ (v1 = 0) | v2 = v0)))
% 183.04/111.73  																											|
% 183.04/111.73  																											| From (1388) and (1392) follows:
% 183.04/111.73  																											| (805) element(all_0_51_51, all_0_52_52) = 0
% 183.04/111.73  																											|
% 183.04/111.73  																											+-Applying beta-rule and splitting (965), into two cases.
% 183.04/111.73  																											|-Branch one:
% 183.04/111.73  																											| (1412)  ~ (element(all_0_51_51, all_508_0_632) = 0)
% 183.04/111.73  																											|
% 183.04/111.73  																												| From (1378) and (1412) follows:
% 183.04/111.73  																												| (1332)  ~ (element(all_0_51_51, all_0_52_52) = 0)
% 183.04/111.73  																												|
% 183.04/111.73  																												| Using (805) and (1332) yields:
% 183.04/111.73  																												| (1271) $false
% 183.04/111.73  																												|
% 183.04/111.73  																												|-The branch is then unsatisfiable
% 183.04/111.73  																											|-Branch two:
% 183.04/111.73  																											| (1415) element(all_0_51_51, all_508_0_632) = 0
% 183.04/111.73  																											| (1416)  ? [v0] : (topstr_closure(all_0_55_55, all_0_51_51) = v0 & subset(all_0_51_51, v0) = 0)
% 183.04/111.73  																											|
% 183.04/111.73  																												| From (1378) and (1415) follows:
% 183.04/111.73  																												| (805) element(all_0_51_51, all_0_52_52) = 0
% 183.04/111.73  																												|
% 183.04/111.73  																												+-Applying beta-rule and splitting (1126), into two cases.
% 183.04/111.73  																												|-Branch one:
% 183.04/111.73  																												| (1418)  ~ (powerset(all_0_53_53) = all_497_1_617)
% 183.04/111.73  																												|
% 183.04/111.73  																													| Using (1250) and (1418) yields:
% 183.04/111.73  																													| (1271) $false
% 183.04/111.73  																													|
% 183.04/111.73  																													|-The branch is then unsatisfiable
% 183.04/111.73  																												|-Branch two:
% 183.04/111.73  																												| (1250) powerset(all_0_53_53) = all_497_1_617
% 183.04/111.73  																												| (1421) all_497_1_617 = all_182_0_183
% 183.04/111.73  																												|
% 183.04/111.73  																													| Combining equations (1124,1421) yields a new equation:
% 183.04/111.73  																													| (1422) all_497_1_617 = all_0_52_52
% 183.04/111.73  																													|
% 183.04/111.73  																													| From (1422) and (1250) follows:
% 183.04/111.73  																													| (154) powerset(all_0_53_53) = all_0_52_52
% 183.04/111.73  																													|
% 183.04/111.73  																													| Instantiating formula (423) with all_0_55_55, all_0_51_51, all_2790_1_2894, all_198_1_214 and discharging atoms interior(all_0_55_55, all_0_51_51) = all_2790_1_2894, interior(all_0_55_55, all_0_51_51) = all_198_1_214, yields:
% 183.04/111.73  																													| (1424) all_2790_1_2894 = all_198_1_214
% 183.04/111.73  																													|
% 183.04/111.73  																													| Instantiating formula (423) with all_0_55_55, all_0_51_51, all_2787_1_2892, all_2790_1_2894 and discharging atoms interior(all_0_55_55, all_0_51_51) = all_2790_1_2894, interior(all_0_55_55, all_0_51_51) = all_2787_1_2892, yields:
% 183.04/111.73  																													| (1425) all_2790_1_2894 = all_2787_1_2892
% 183.04/111.73  																													|
% 183.04/111.73  																													| Instantiating formula (423) with all_0_55_55, all_0_51_51, all_2642_0_2888, all_2790_1_2894 and discharging atoms interior(all_0_55_55, all_0_51_51) = all_2790_1_2894, interior(all_0_55_55, all_0_51_51) = all_2642_0_2888, yields:
% 183.04/111.73  																													| (1426) all_2790_1_2894 = all_2642_0_2888
% 183.04/111.73  																													|
% 183.04/111.73  																													| Instantiating formula (205) with all_0_51_51, all_0_55_55, all_2790_0_2893, 0 and discharging atoms open_subset(all_0_51_51, all_0_55_55) = all_2790_0_2893, open_subset(all_0_51_51, all_0_55_55) = 0, yields:
% 183.04/111.73  																													| (1427) all_2790_0_2893 = 0
% 183.04/111.73  																													|
% 183.04/111.73  																													| Instantiating formula (205) with all_0_51_51, all_0_55_55, all_2787_0_2891, all_2790_0_2893 and discharging atoms open_subset(all_0_51_51, all_0_55_55) = all_2790_0_2893, open_subset(all_0_51_51, all_0_55_55) = all_2787_0_2891, yields:
% 183.04/111.73  																													| (1428) all_2790_0_2893 = all_2787_0_2891
% 183.04/111.73  																													|
% 183.04/111.73  																													| Instantiating formula (186) with all_0_55_55, all_1812_1_2825, all_0_53_53 and discharging atoms the_carrier(all_0_55_55) = all_1812_1_2825, the_carrier(all_0_55_55) = all_0_53_53, yields:
% 183.04/111.73  																													| (1429) all_1812_1_2825 = all_0_53_53
% 183.04/111.73  																													|
% 183.04/111.73  																													| Instantiating formula (693) with all_0_53_53, all_1812_0_2824, all_0_52_52 and discharging atoms powerset(all_0_53_53) = all_0_52_52, yields:
% 183.04/111.73  																													| (1430) all_1812_0_2824 = all_0_52_52 |  ~ (powerset(all_0_53_53) = all_1812_0_2824)
% 183.04/111.73  																													|
% 183.04/111.73  																													| Combining equations (1427,1428) yields a new equation:
% 183.04/111.73  																													| (1431) all_2787_0_2891 = 0
% 183.04/111.73  																													|
% 183.04/111.73  																													| Combining equations (1424,1425) yields a new equation:
% 183.04/111.73  																													| (1432) all_2787_1_2892 = all_198_1_214
% 183.04/111.73  																													|
% 183.04/111.73  																													| Combining equations (1426,1425) yields a new equation:
% 183.04/111.73  																													| (1433) all_2787_1_2892 = all_2642_0_2888
% 183.04/111.73  																													|
% 183.04/111.73  																													| Combining equations (1432,1433) yields a new equation:
% 183.04/111.73  																													| (1434) all_2642_0_2888 = all_198_1_214
% 183.04/111.73  																													|
% 183.04/111.73  																													| From (1434) and (1363) follows:
% 183.04/111.73  																													| (905) interior(all_0_55_55, all_0_51_51) = all_198_1_214
% 183.04/111.73  																													|
% 183.04/111.73  																													| From (1431) and (1402) follows:
% 183.04/111.73  																													| (339) open_subset(all_0_51_51, all_0_55_55) = 0
% 183.04/111.73  																													|
% 183.04/111.73  																													| From (1429) and (1262) follows:
% 183.04/111.73  																													| (1437) powerset(all_0_53_53) = all_1812_0_2824
% 183.04/111.73  																													|
% 183.04/111.73  																													+-Applying beta-rule and splitting (1430), into two cases.
% 183.04/111.73  																													|-Branch one:
% 183.04/111.73  																													| (1438)  ~ (powerset(all_0_53_53) = all_1812_0_2824)
% 183.04/111.73  																													|
% 183.04/111.73  																														| Using (1437) and (1438) yields:
% 183.04/111.73  																														| (1271) $false
% 183.04/111.73  																														|
% 183.04/111.73  																														|-The branch is then unsatisfiable
% 183.04/111.73  																													|-Branch two:
% 183.04/111.73  																													| (1437) powerset(all_0_53_53) = all_1812_0_2824
% 183.04/111.73  																													| (1441) all_1812_0_2824 = all_0_52_52
% 183.04/111.73  																													|
% 183.04/111.73  																														+-Applying beta-rule and splitting (1405), into two cases.
% 183.04/111.73  																														|-Branch one:
% 183.04/111.73  																														| (1442)  ~ (element(all_0_51_51, all_1812_0_2824) = 0)
% 183.04/111.73  																														|
% 183.04/111.73  																															| From (1441) and (1442) follows:
% 183.04/111.73  																															| (1332)  ~ (element(all_0_51_51, all_0_52_52) = 0)
% 183.04/111.73  																															|
% 183.04/111.73  																															| Using (805) and (1332) yields:
% 183.04/111.73  																															| (1271) $false
% 183.04/111.73  																															|
% 183.04/111.73  																															|-The branch is then unsatisfiable
% 183.04/111.73  																														|-Branch two:
% 183.04/111.73  																														| (1445) element(all_0_51_51, all_1812_0_2824) = 0
% 183.04/111.73  																														| (1446)  ? [v0] :  ? [v1] : (interior(all_0_55_55, all_0_51_51) = v1 & open_subset(all_0_51_51, all_0_55_55) = v0 & ( ~ (v0 = 0) | v1 = all_0_51_51))
% 183.04/111.73  																														|
% 183.04/111.73  																															| Instantiating (1446) with all_2873_0_2897, all_2873_1_2898 yields:
% 183.04/111.73  																															| (1447) interior(all_0_55_55, all_0_51_51) = all_2873_0_2897 & open_subset(all_0_51_51, all_0_55_55) = all_2873_1_2898 & ( ~ (all_2873_1_2898 = 0) | all_2873_0_2897 = all_0_51_51)
% 183.04/111.73  																															|
% 183.04/111.73  																															| Applying alpha-rule on (1447) yields:
% 183.04/111.73  																															| (1448) interior(all_0_55_55, all_0_51_51) = all_2873_0_2897
% 183.04/111.73  																															| (1449) open_subset(all_0_51_51, all_0_55_55) = all_2873_1_2898
% 183.04/111.73  																															| (1450)  ~ (all_2873_1_2898 = 0) | all_2873_0_2897 = all_0_51_51
% 183.04/111.73  																															|
% 183.04/111.73  																															| From (1441) and (1445) follows:
% 183.04/111.73  																															| (805) element(all_0_51_51, all_0_52_52) = 0
% 183.04/111.73  																															|
% 183.04/111.73  																															| Instantiating formula (423) with all_0_55_55, all_0_51_51, all_2873_0_2897, all_198_1_214 and discharging atoms interior(all_0_55_55, all_0_51_51) = all_2873_0_2897, interior(all_0_55_55, all_0_51_51) = all_198_1_214, yields:
% 183.04/111.73  																															| (1452) all_2873_0_2897 = all_198_1_214
% 183.04/111.73  																															|
% 183.04/111.73  																															| Instantiating formula (205) with all_0_51_51, all_0_55_55, all_2873_1_2898, 0 and discharging atoms open_subset(all_0_51_51, all_0_55_55) = all_2873_1_2898, open_subset(all_0_51_51, all_0_55_55) = 0, yields:
% 183.04/111.73  																															| (1453) all_2873_1_2898 = 0
% 183.04/111.73  																															|
% 183.04/111.73  																															| From (1452) and (1448) follows:
% 183.04/111.73  																															| (905) interior(all_0_55_55, all_0_51_51) = all_198_1_214
% 183.04/111.73  																															|
% 183.04/111.73  																															+-Applying beta-rule and splitting (1450), into two cases.
% 183.04/111.73  																															|-Branch one:
% 183.04/111.73  																															| (1455)  ~ (all_2873_1_2898 = 0)
% 183.04/111.73  																															|
% 183.04/111.73  																																| Equations (1453) can reduce 1455 to:
% 183.04/111.73  																																| (1031) $false
% 183.04/111.73  																																|
% 183.04/111.73  																																|-The branch is then unsatisfiable
% 183.04/111.73  																															|-Branch two:
% 183.04/111.73  																															| (1453) all_2873_1_2898 = 0
% 183.04/111.73  																															| (1458) all_2873_0_2897 = all_0_51_51
% 183.04/111.73  																															|
% 183.04/111.73  																																| Combining equations (1458,1452) yields a new equation:
% 183.04/111.73  																																| (1459) all_198_1_214 = all_0_51_51
% 183.04/111.73  																																|
% 183.04/111.73  																																| From (1459) and (905) follows:
% 183.04/111.73  																																| (1460) interior(all_0_55_55, all_0_51_51) = all_0_51_51
% 183.04/111.73  																																|
% 183.04/111.73  																																+-Applying beta-rule and splitting (1308), into two cases.
% 183.04/111.73  																																|-Branch one:
% 183.04/111.73  																																| (1461)  ~ (element(all_0_50_50, all_478_1_579) = 0)
% 183.04/111.73  																																|
% 183.04/111.73  																																	| From (1231) and (1461) follows:
% 183.04/111.73  																																	| (1462)  ~ (element(all_0_50_50, all_0_53_53) = 0)
% 183.04/111.73  																																	|
% 183.04/111.73  																																	| Using (303) and (1462) yields:
% 183.04/111.73  																																	| (1271) $false
% 183.04/111.73  																																	|
% 183.04/111.73  																																	|-The branch is then unsatisfiable
% 183.04/111.73  																																|-Branch two:
% 183.04/111.73  																																| (1464) element(all_0_50_50, all_478_1_579) = 0
% 183.04/111.73  																																| (1465)  ~ (element(all_0_51_51, all_478_0_578) = 0) |  ? [v0] :  ? [v1] :  ? [v2] : (point_neighbourhood(all_0_51_51, all_0_55_55, all_0_50_50) = v0 & interior(all_0_55_55, all_0_51_51) = v1 & in(all_0_50_50, v1) = v2 & ( ~ (v2 = 0) | v0 = 0) & ( ~ (v0 = 0) | v2 = 0))
% 183.04/111.73  																																|
% 183.04/111.73  																																	+-Applying beta-rule and splitting (1465), into two cases.
% 183.04/111.73  																																	|-Branch one:
% 183.04/111.73  																																	| (1466)  ~ (element(all_0_51_51, all_478_0_578) = 0)
% 183.04/111.73  																																	|
% 183.04/111.73  																																		| From (1383) and (1466) follows:
% 183.04/111.73  																																		| (1332)  ~ (element(all_0_51_51, all_0_52_52) = 0)
% 183.04/111.73  																																		|
% 183.04/111.73  																																		| Using (805) and (1332) yields:
% 183.04/111.73  																																		| (1271) $false
% 183.04/111.73  																																		|
% 183.04/111.73  																																		|-The branch is then unsatisfiable
% 183.04/111.73  																																	|-Branch two:
% 183.04/111.73  																																	| (1469) element(all_0_51_51, all_478_0_578) = 0
% 183.04/111.73  																																	| (1470)  ? [v0] :  ? [v1] :  ? [v2] : (point_neighbourhood(all_0_51_51, all_0_55_55, all_0_50_50) = v0 & interior(all_0_55_55, all_0_51_51) = v1 & in(all_0_50_50, v1) = v2 & ( ~ (v2 = 0) | v0 = 0) & ( ~ (v0 = 0) | v2 = 0))
% 183.04/111.73  																																	|
% 183.04/111.73  																																		| Instantiating (1470) with all_2891_0_2899, all_2891_1_2900, all_2891_2_2901 yields:
% 183.04/111.73  																																		| (1471) point_neighbourhood(all_0_51_51, all_0_55_55, all_0_50_50) = all_2891_2_2901 & interior(all_0_55_55, all_0_51_51) = all_2891_1_2900 & in(all_0_50_50, all_2891_1_2900) = all_2891_0_2899 & ( ~ (all_2891_0_2899 = 0) | all_2891_2_2901 = 0) & ( ~ (all_2891_2_2901 = 0) | all_2891_0_2899 = 0)
% 183.04/111.73  																																		|
% 183.04/111.73  																																		| Applying alpha-rule on (1471) yields:
% 183.04/111.73  																																		| (1472)  ~ (all_2891_0_2899 = 0) | all_2891_2_2901 = 0
% 183.04/111.73  																																		| (1473)  ~ (all_2891_2_2901 = 0) | all_2891_0_2899 = 0
% 183.04/111.73  																																		| (1474) in(all_0_50_50, all_2891_1_2900) = all_2891_0_2899
% 183.04/111.73  																																		| (1475) point_neighbourhood(all_0_51_51, all_0_55_55, all_0_50_50) = all_2891_2_2901
% 183.04/111.73  																																		| (1476) interior(all_0_55_55, all_0_51_51) = all_2891_1_2900
% 183.04/111.73  																																		|
% 183.04/111.73  																																		| Instantiating formula (361) with all_0_51_51, all_0_55_55, all_0_50_50, all_2891_2_2901, all_0_49_49 and discharging atoms point_neighbourhood(all_0_51_51, all_0_55_55, all_0_50_50) = all_2891_2_2901, point_neighbourhood(all_0_51_51, all_0_55_55, all_0_50_50) = all_0_49_49, yields:
% 183.04/111.73  																																		| (1477) all_2891_2_2901 = all_0_49_49
% 183.04/111.73  																																		|
% 183.04/111.73  																																		| Instantiating formula (423) with all_0_55_55, all_0_51_51, all_0_51_51, all_2891_1_2900 and discharging atoms interior(all_0_55_55, all_0_51_51) = all_2891_1_2900, interior(all_0_55_55, all_0_51_51) = all_0_51_51, yields:
% 183.04/111.73  																																		| (1478) all_2891_1_2900 = all_0_51_51
% 183.04/111.73  																																		|
% 183.04/111.73  																																		| Instantiating formula (417) with all_0_50_50, all_0_51_51, all_2891_0_2899, 0 and discharging atoms in(all_0_50_50, all_0_51_51) = 0, yields:
% 183.04/111.74  																																		| (1479) all_2891_0_2899 = 0 |  ~ (in(all_0_50_50, all_0_51_51) = all_2891_0_2899)
% 183.04/111.74  																																		|
% 183.04/111.74  																																		| From (1478) and (1474) follows:
% 183.04/111.74  																																		| (1480) in(all_0_50_50, all_0_51_51) = all_2891_0_2899
% 183.04/111.74  																																		|
% 183.04/111.74  																																		+-Applying beta-rule and splitting (1479), into two cases.
% 183.04/111.74  																																		|-Branch one:
% 183.04/111.74  																																		| (1481)  ~ (in(all_0_50_50, all_0_51_51) = all_2891_0_2899)
% 183.04/111.74  																																		|
% 183.04/111.74  																																			| Using (1480) and (1481) yields:
% 183.04/111.74  																																			| (1271) $false
% 183.04/111.74  																																			|
% 183.04/111.74  																																			|-The branch is then unsatisfiable
% 183.04/111.74  																																		|-Branch two:
% 183.04/111.74  																																		| (1480) in(all_0_50_50, all_0_51_51) = all_2891_0_2899
% 183.04/111.74  																																		| (1484) all_2891_0_2899 = 0
% 183.04/111.74  																																		|
% 183.04/111.74  																																			+-Applying beta-rule and splitting (1472), into two cases.
% 183.04/111.74  																																			|-Branch one:
% 183.04/111.74  																																			| (1485)  ~ (all_2891_0_2899 = 0)
% 183.04/111.74  																																			|
% 183.04/111.74  																																				| Equations (1484) can reduce 1485 to:
% 183.04/111.74  																																				| (1031) $false
% 183.04/111.74  																																				|
% 183.04/111.74  																																				|-The branch is then unsatisfiable
% 183.04/111.74  																																			|-Branch two:
% 183.04/111.74  																																			| (1484) all_2891_0_2899 = 0
% 183.04/111.74  																																			| (1488) all_2891_2_2901 = 0
% 183.04/111.74  																																			|
% 183.04/111.74  																																				| Combining equations (1488,1477) yields a new equation:
% 183.04/111.74  																																				| (1489) all_0_49_49 = 0
% 183.04/111.74  																																				|
% 183.04/111.74  																																				| Equations (1489) can reduce 775 to:
% 183.04/111.74  																																				| (1031) $false
% 183.04/111.74  																																				|
% 183.04/111.74  																																				|-The branch is then unsatisfiable
% 183.04/111.74  % SZS output end Proof for theBenchmark
% 183.04/111.74  
% 183.04/111.74  111103ms
%------------------------------------------------------------------------------