%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SEU308+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 08:48:43 EDT 2022

% Result   : Theorem 15.29s 4.10s
% Output   : Proof 27.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU308+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 19 18:18:09 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.58          ____       _                          
% 0.19/0.58    ___  / __ \_____(_)___  ________  __________
% 0.19/0.58   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.58  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.19/0.58  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.19/0.58  
% 0.19/0.58  A Theorem Prover for First-Order Logic
% 0.19/0.58  (ePrincess v.1.0)
% 0.19/0.58  
% 0.19/0.58  (c) Philipp Rümmer, 2009-2015
% 0.19/0.58  (c) Peter Backeman, 2014-2015
% 0.19/0.58  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.58  Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.58  Bug reports to peter@backeman.se
% 0.19/0.58  
% 0.19/0.58  For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.58  
% 0.19/0.58  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.69/0.63  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.62/1.37  Prover 0: Preprocessing ...
% 10.68/3.06  Prover 0: Warning: ignoring some quantifiers
% 11.25/3.13  Prover 0: Constructing countermodel ...
% 15.29/4.10  Prover 0: proved (3471ms)
% 15.29/4.10  
% 15.29/4.10  No countermodel exists, formula is valid
% 15.29/4.10  % SZS status Theorem for theBenchmark
% 15.29/4.10  
% 15.29/4.10  Generating proof ... Warning: ignoring some quantifiers
% 25.36/6.67  found it (size 84)
% 25.36/6.67  
% 25.36/6.67  % SZS output start Proof for theBenchmark
% 25.36/6.67  Assumed formulas after preprocessing and simplification: 
% 25.36/6.67  | (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] : ( ~ (v8 = v7) & subset_difference(v3, v5, v6) = v8 & subset_complement(v3, v6) = v7 & cast_as_carrier_subset(v2) = v5 & singleton(empty_set) = v0 & relation_rng(empty_set) = empty_set & relation_dom(empty_set) = empty_set & the_carrier(v2) = v3 & powerset(v3) = v4 & powerset(v0) = v1 & powerset(empty_set) = v0 & relation_empty_yielding(v22) & relation_empty_yielding(v20) & relation_empty_yielding(empty_set) & latt_str(v38) & being_limit_ordinal(v32) & being_limit_ordinal(omega) & one_sorted_str(v40) & one_sorted_str(v21) & one_sorted_str(v2) & meet_semilatt_str(v41) & join_semilatt_str(v39) & one_to_one(v31) & one_to_one(v27) & one_to_one(v24) & one_to_one(empty_set) & relation(v35) & relation(v31) & relation(v30) & relation(v28) & relation(v27) & relation(v26) & relation(v24) & relation(v22) & relation(v20) & relation(empty_set) & function(v35) & function(v31) & function(v28) & function(v27) & function(v24) & function(v20) & function(empty_set) & finite(v36) & epsilon_connected(v37) & epsilon_connected(v33) & epsilon_connected(v32) & epsilon_connected(v27) & epsilon_connected(v23) & epsilon_connected(empty_set) & epsilon_connected(omega) & epsilon_transitive(v37) & epsilon_transitive(v33) & epsilon_transitive(v32) & epsilon_transitive(v27) & epsilon_transitive(v23) & epsilon_transitive(empty_set) & epsilon_transitive(omega) & ordinal(v37) & ordinal(v33) & ordinal(v32) & ordinal(v27) & ordinal(v23) & ordinal(empty_set) & ordinal(omega) & empty(v31) & empty(v30) & empty(v29) & empty(v28) & empty(v27) & empty(empty_set) & natural(v37) & v5_membered(v34) & v5_membered(empty_set) & v4_membered(v34) & v4_membered(empty_set) & v3_membered(v34) & v3_membered(empty_set) & v2_membered(v34) & v2_membered(empty_set) & element(v6, v4) & v1_membered(v34) & v1_membered(empty_set) & in(empty_set, omega) &  ~ empty_carrier(v21) &  ~ empty(v37) &  ~ empty(v36) &  ~ empty(v34) &  ~ empty(v26) &  ~ empty(v25) &  ~ empty(v23) &  ~ empty(omega) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v43 = v42 |  ~ (apply_binary_as_element(v49, v48, v47, v46, v45, v44) = v43) |  ~ (apply_binary_as_element(v49, v48, v47, v46, v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v43 = empty_set |  ~ (relation_composition(v45, v47) = v48) |  ~ (apply(v48, v44) = v49) |  ~ (apply(v45, v44) = v46) |  ~ quasi_total(v45, v42, v43) |  ~ relation_of2_as_subset(v45, v42, v43) |  ~ relation(v47) |  ~ function(v47) |  ~ function(v45) |  ~ in(v44, v42) | apply(v47, v46) = v49) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : ( ~ (relation_composition(v42, v43) = v44) |  ~ (ordered_pair(v48, v46) = v49) |  ~ (ordered_pair(v45, v46) = v47) |  ~ relation(v44) |  ~ relation(v43) |  ~ relation(v42) |  ~ in(v49, v43) | in(v47, v44) |  ? [v50] : (ordered_pair(v45, v48) = v50 &  ~ in(v50, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : ( ~ (relation_composition(v42, v43) = v44) |  ~ (ordered_pair(v45, v48) = v49) |  ~ (ordered_pair(v45, v46) = v47) |  ~ relation(v44) |  ~ relation(v43) |  ~ relation(v42) |  ~ in(v49, v42) | in(v47, v44) |  ? [v50] : (ordered_pair(v48, v46) = v50 &  ~ in(v50, v43))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v43 = empty_set |  ~ (relation_inverse_image(v45, v44) = v46) |  ~ (apply(v45, v47) = v48) |  ~ quasi_total(v45, v42, v43) |  ~ relation_of2_as_subset(v45, v42, v43) |  ~ function(v45) |  ~ in(v48, v44) |  ~ in(v47, v42) | in(v47, v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v43 = empty_set |  ~ (relation_inverse_image(v45, v44) = v46) |  ~ (apply(v45, v47) = v48) |  ~ quasi_total(v45, v42, v43) |  ~ relation_of2_as_subset(v45, v42, v43) |  ~ function(v45) |  ~ in(v47, v46) | in(v48, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v43 = empty_set |  ~ (relation_inverse_image(v45, v44) = v46) |  ~ (apply(v45, v47) = v48) |  ~ quasi_total(v45, v42, v43) |  ~ relation_of2_as_subset(v45, v42, v43) |  ~ function(v45) |  ~ in(v47, v46) | in(v47, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v43 = empty_set |  ~ (apply(v47, v46) = v48) |  ~ (apply(v45, v44) = v46) |  ~ quasi_total(v45, v42, v43) |  ~ relation_of2_as_subset(v45, v42, v43) |  ~ relation(v47) |  ~ function(v47) |  ~ function(v45) |  ~ in(v44, v42) |  ? [v49] : (relation_composition(v45, v47) = v49 & apply(v49, v44) = v48)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (relation_composition(v47, v45) = v48) |  ~ (identity_relation(v44) = v47) |  ~ (ordered_pair(v42, v43) = v46) |  ~ relation(v45) |  ~ in(v46, v48) | in(v46, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (relation_composition(v47, v45) = v48) |  ~ (identity_relation(v44) = v47) |  ~ (ordered_pair(v42, v43) = v46) |  ~ relation(v45) |  ~ in(v46, v48) | in(v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (relation_composition(v47, v45) = v48) |  ~ (identity_relation(v44) = v47) |  ~ (ordered_pair(v42, v43) = v46) |  ~ relation(v45) |  ~ in(v46, v45) |  ~ in(v42, v44) | in(v46, v48)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (apply_binary_as_element(v42, v43, v44, v45, v46, v47) = v48) |  ~ function(v45) |  ~ element(v47, v43) |  ~ element(v46, v42) | empty(v43) | empty(v42) | element(v48, v44) |  ? [v49] : (cartesian_product2(v42, v43) = v49 & ( ~ relation_of2(v45, v49, v44) |  ~ quasi_total(v45, v49, v44)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (apply_binary_as_element(v42, v43, v44, v45, v46, v47) = v48) |  ~ function(v45) |  ~ element(v47, v43) |  ~ element(v46, v42) | empty(v43) | empty(v42) |  ? [v49] :  ? [v50] : (apply_binary(v45, v46, v47) = v50 & cartesian_product2(v42, v43) = v49 & (v50 = v48 |  ~ relation_of2(v45, v49, v44) |  ~ quasi_total(v45, v49, v44)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (ordered_pair(v45, v46) = v48) |  ~ (ordered_pair(v44, v45) = v47) |  ~ is_transitive_in(v42, v43) |  ~ relation(v42) |  ~ in(v48, v42) |  ~ in(v47, v42) |  ~ in(v46, v43) |  ~ in(v45, v43) |  ~ in(v44, v43) |  ? [v49] : (ordered_pair(v44, v46) = v49 & in(v49, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (ordered_pair(v45, v46) = v47) |  ~ (ordered_pair(v44, v46) = v48) |  ~ is_transitive_in(v42, v43) |  ~ relation(v42) |  ~ in(v47, v42) |  ~ in(v46, v43) |  ~ in(v45, v43) |  ~ in(v44, v43) | in(v48, v42) |  ? [v49] : (ordered_pair(v44, v45) = v49 &  ~ in(v49, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (ordered_pair(v44, v46) = v48) |  ~ (ordered_pair(v44, v45) = v47) |  ~ is_transitive_in(v42, v43) |  ~ relation(v42) |  ~ in(v47, v42) |  ~ in(v46, v43) |  ~ in(v45, v43) |  ~ in(v44, v43) | in(v48, v42) |  ? [v49] : (ordered_pair(v45, v46) = v49 &  ~ in(v49, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : (v47 = v45 |  ~ (meet(v42, v44, v45) = v46) |  ~ (join(v42, v46, v45) = v47) |  ~ (the_carrier(v42) = v43) |  ~ meet_absorbing(v42) |  ~ latt_str(v42) |  ~ element(v45, v43) |  ~ element(v44, v43) | empty_carrier(v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : (v45 = v44 |  ~ (ordered_pair(v43, v45) = v47) |  ~ (ordered_pair(v43, v44) = v46) |  ~ function(v42) |  ~ in(v47, v42) |  ~ in(v46, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : (v45 = v43 |  ~ (pair_second(v42) = v43) |  ~ (ordered_pair(v46, v47) = v42) |  ~ (ordered_pair(v44, v45) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : (v44 = v43 |  ~ (pair_first(v42) = v43) |  ~ (ordered_pair(v46, v47) = v42) |  ~ (ordered_pair(v44, v45) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_composition(v42, v43) = v44) |  ~ (ordered_pair(v45, v46) = v47) |  ~ relation(v44) |  ~ relation(v43) |  ~ relation(v42) |  ~ in(v47, v44) |  ? [v48] :  ? [v49] :  ? [v50] : (ordered_pair(v48, v46) = v50 & ordered_pair(v45, v48) = v49 & in(v50, v43) & in(v49, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (inclusion_relation(v42) = v43) |  ~ (relation_field(v43) = v44) |  ~ (ordered_pair(v45, v46) = v47) |  ~ subset(v45, v46) |  ~ relation(v43) |  ~ in(v46, v42) |  ~ in(v45, v42) | in(v47, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (inclusion_relation(v42) = v43) |  ~ (relation_field(v43) = v44) |  ~ (ordered_pair(v45, v46) = v47) |  ~ relation(v43) |  ~ in(v47, v43) |  ~ in(v46, v42) |  ~ in(v45, v42) | subset(v45, v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_rng(v46) = v47) |  ~ (relation_field(v44) = v45) |  ~ (relation_field(v42) = v43) |  ~ relation(v46) |  ~ relation(v44) |  ~ relation(v42) |  ~ function(v46) |  ? [v48] :  ? [v49] :  ? [v50] :  ? [v51] :  ? [v52] :  ? [v53] :  ? [v54] : (relation_dom(v46) = v48 & ( ~ (v48 = v43) |  ~ (v47 = v45) |  ~ one_to_one(v46) | relation_isomorphism(v42, v44, v46) | (apply(v46, v50) = v53 & apply(v46, v49) = v52 & ordered_pair(v52, v53) = v54 & ordered_pair(v49, v50) = v51 & ( ~ in(v54, v44) |  ~ in(v51, v42) |  ~ in(v50, v43) |  ~ in(v49, v43)) & (in(v51, v42) | (in(v54, v44) & in(v50, v43) & in(v49, v43))))) & ( ~ relation_isomorphism(v42, v44, v46) | (v48 = v43 & v47 = v45 & one_to_one(v46) &  ! [v55] :  ! [v56] :  ! [v57] :  ! [v58] :  ! [v59] : ( ~ (apply(v46, v56) = v58) |  ~ (apply(v46, v55) = v57) |  ~ (ordered_pair(v57, v58) = v59) |  ~ in(v59, v44) |  ~ in(v56, v43) |  ~ in(v55, v43) |  ? [v60] : (ordered_pair(v55, v56) = v60 & in(v60, v42))) &  ! [v55] :  ! [v56] :  ! [v57] :  ! [v58] :  ! [v59] : ( ~ (apply(v46, v56) = v58) |  ~ (apply(v46, v55) = v57) |  ~ (ordered_pair(v57, v58) = v59) | in(v59, v44) |  ? [v60] : (ordered_pair(v55, v56) = v60 &  ~ in(v60, v42))) &  ! [v55] :  ! [v56] :  ! [v57] :  ! [v58] :  ! [v59] : ( ~ (apply(v46, v56) = v58) |  ~ (apply(v46, v55) = v57) |  ~ (ordered_pair(v57, v58) = v59) | in(v56, v43) |  ? [v60] : (ordered_pair(v55, v56) = v60 &  ~ in(v60, v42))) &  ! [v55] :  ! [v56] :  ! [v57] :  ! [v58] :  ! [v59] : ( ~ (apply(v46, v56) = v58) |  ~ (apply(v46, v55) = v57) |  ~ (ordered_pair(v57, v58) = v59) | in(v55, v43) |  ? [v60] : (ordered_pair(v55, v56) = v60 &  ~ in(v60, v42))) &  ! [v55] :  ! [v56] :  ! [v57] : ( ~ (ordered_pair(v55, v56) = v57) |  ~ in(v57, v42) | in(v56, v43)) &  ! [v55] :  ! [v56] :  ! [v57] : ( ~ (ordered_pair(v55, v56) = v57) |  ~ in(v57, v42) | in(v55, v43)) &  ! [v55] :  ! [v56] :  ! [v57] : ( ~ (ordered_pair(v55, v56) = v57) |  ~ in(v57, v42) |  ? [v58] :  ? [v59] :  ? [v60] : (apply(v46, v56) = v59 & apply(v46, v55) = v58 & ordered_pair(v58, v59) = v60 & in(v60, v44))) &  ! [v55] :  ! [v56] :  ! [v57] : ( ~ (ordered_pair(v55, v56) = v57) |  ~ in(v56, v43) |  ~ in(v55, v43) | in(v57, v42) |  ? [v58] :  ? [v59] :  ? [v60] : (apply(v46, v56) = v59 & apply(v46, v55) = v58 & ordered_pair(v58, v59) = v60 &  ~ in(v60, v44))))))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_inverse_image(v42, v44) = v45) |  ~ (relation_dom(v42) = v43) |  ~ (apply(v42, v46) = v47) |  ~ relation(v42) |  ~ function(v42) |  ~ in(v47, v44) |  ~ in(v46, v43) | in(v46, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_inverse_image(v42, v44) = v45) |  ~ (relation_dom(v42) = v43) |  ~ (apply(v42, v46) = v47) |  ~ relation(v42) |  ~ function(v42) |  ~ in(v46, v45) | in(v47, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_inverse_image(v42, v44) = v45) |  ~ (relation_dom(v42) = v43) |  ~ (apply(v42, v46) = v47) |  ~ relation(v42) |  ~ function(v42) |  ~ in(v46, v45) | in(v46, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_inverse_image(v42, v43) = v44) |  ~ (ordered_pair(v45, v46) = v47) |  ~ relation(v42) |  ~ in(v47, v42) |  ~ in(v46, v43) | in(v45, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_field(v44) = v45) |  ~ (relation_field(v42) = v43) |  ~ (relation_dom(v46) = v47) |  ~ relation(v46) |  ~ relation(v44) |  ~ relation(v42) |  ~ function(v46) |  ? [v48] :  ? [v49] :  ? [v50] :  ? [v51] :  ? [v52] :  ? [v53] :  ? [v54] : (relation_rng(v46) = v48 & ( ~ (v48 = v45) |  ~ (v47 = v43) |  ~ one_to_one(v46) | relation_isomorphism(v42, v44, v46) | (apply(v46, v50) = v53 & apply(v46, v49) = v52 & ordered_pair(v52, v53) = v54 & ordered_pair(v49, v50) = v51 & ( ~ in(v54, v44) |  ~ in(v51, v42) |  ~ in(v50, v43) |  ~ in(v49, v43)) & (in(v51, v42) | (in(v54, v44) & in(v50, v43) & in(v49, v43))))) & ( ~ relation_isomorphism(v42, v44, v46) | (v48 = v45 & v47 = v43 & one_to_one(v46) &  ! [v55] :  ! [v56] :  ! [v57] :  ! [v58] :  ! [v59] : ( ~ (apply(v46, v56) = v58) |  ~ (apply(v46, v55) = v57) |  ~ (ordered_pair(v57, v58) = v59) |  ~ in(v59, v44) |  ~ in(v56, v43) |  ~ in(v55, v43) |  ? [v60] : (ordered_pair(v55, v56) = v60 & in(v60, v42))) &  ! [v55] :  ! [v56] :  ! [v57] :  ! [v58] :  ! [v59] : ( ~ (apply(v46, v56) = v58) |  ~ (apply(v46, v55) = v57) |  ~ (ordered_pair(v57, v58) = v59) | in(v59, v44) |  ? [v60] : (ordered_pair(v55, v56) = v60 &  ~ in(v60, v42))) &  ! [v55] :  ! [v56] :  ! [v57] :  ! [v58] :  ! [v59] : ( ~ (apply(v46, v56) = v58) |  ~ (apply(v46, v55) = v57) |  ~ (ordered_pair(v57, v58) = v59) | in(v56, v43) |  ? [v60] : (ordered_pair(v55, v56) = v60 &  ~ in(v60, v42))) &  ! [v55] :  ! [v56] :  ! [v57] :  ! [v58] :  ! [v59] : ( ~ (apply(v46, v56) = v58) |  ~ (apply(v46, v55) = v57) |  ~ (ordered_pair(v57, v58) = v59) | in(v55, v43) |  ? [v60] : (ordered_pair(v55, v56) = v60 &  ~ in(v60, v42))) &  ! [v55] :  ! [v56] :  ! [v57] : ( ~ (ordered_pair(v55, v56) = v57) |  ~ in(v57, v42) | in(v56, v43)) &  ! [v55] :  ! [v56] :  ! [v57] : ( ~ (ordered_pair(v55, v56) = v57) |  ~ in(v57, v42) | in(v55, v43)) &  ! [v55] :  ! [v56] :  ! [v57] : ( ~ (ordered_pair(v55, v56) = v57) |  ~ in(v57, v42) |  ? [v58] :  ? [v59] :  ? [v60] : (apply(v46, v56) = v59 & apply(v46, v55) = v58 & ordered_pair(v58, v59) = v60 & in(v60, v44))) &  ! [v55] :  ! [v56] :  ! [v57] : ( ~ (ordered_pair(v55, v56) = v57) |  ~ in(v56, v43) |  ~ in(v55, v43) | in(v57, v42) |  ? [v58] :  ? [v59] :  ? [v60] : (apply(v46, v56) = v59 & apply(v46, v55) = v58 & ordered_pair(v58, v59) = v60 &  ~ in(v60, v44))))))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_rng_restriction(v42, v43) = v44) |  ~ (ordered_pair(v45, v46) = v47) |  ~ relation(v44) |  ~ relation(v43) |  ~ in(v47, v44) | in(v47, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_rng_restriction(v42, v43) = v44) |  ~ (ordered_pair(v45, v46) = v47) |  ~ relation(v44) |  ~ relation(v43) |  ~ in(v47, v44) | in(v46, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_rng_restriction(v42, v43) = v44) |  ~ (ordered_pair(v45, v46) = v47) |  ~ relation(v44) |  ~ relation(v43) |  ~ in(v47, v43) |  ~ in(v46, v42) | in(v47, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_dom(v45) = v46) |  ~ (relation_dom(v43) = v44) |  ~ (set_intersection2(v46, v42) = v47) |  ~ relation(v45) |  ~ relation(v43) |  ~ function(v45) |  ~ function(v43) |  ? [v48] :  ? [v49] :  ? [v50] :  ? [v51] : (relation_dom_restriction(v45, v42) = v48 & ( ~ (v48 = v43) | (v47 = v44 &  ! [v52] :  ! [v53] : ( ~ (apply(v45, v52) = v53) |  ~ in(v52, v44) | apply(v43, v52) = v53) &  ! [v52] :  ! [v53] : ( ~ (apply(v43, v52) = v53) |  ~ in(v52, v44) | apply(v45, v52) = v53))) & ( ~ (v47 = v44) | v48 = v43 | ( ~ (v51 = v50) & apply(v45, v49) = v51 & apply(v43, v49) = v50 & in(v49, v44))))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_dom(v42) = v43) |  ~ (relation_image(v42, v44) = v45) |  ~ (apply(v42, v47) = v46) |  ~ relation(v42) |  ~ function(v42) |  ~ in(v47, v44) |  ~ in(v47, v43) | in(v46, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_image(v42, v43) = v44) |  ~ (ordered_pair(v46, v45) = v47) |  ~ relation(v42) |  ~ in(v47, v42) |  ~ in(v46, v43) | in(v45, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_dom_restriction(v42, v43) = v44) |  ~ (ordered_pair(v45, v46) = v47) |  ~ relation(v44) |  ~ relation(v42) |  ~ in(v47, v44) | in(v47, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_dom_restriction(v42, v43) = v44) |  ~ (ordered_pair(v45, v46) = v47) |  ~ relation(v44) |  ~ relation(v42) |  ~ in(v47, v44) | in(v45, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (relation_dom_restriction(v42, v43) = v44) |  ~ (ordered_pair(v45, v46) = v47) |  ~ relation(v44) |  ~ relation(v42) |  ~ in(v47, v42) |  ~ in(v45, v43) | in(v47, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (ordered_pair(v46, v47) = v45) |  ~ (cartesian_product2(v42, v43) = v44) |  ~ in(v47, v43) |  ~ in(v46, v42) | in(v45, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (ordered_pair(v44, v45) = v47) |  ~ (ordered_pair(v43, v44) = v46) |  ~ transitive(v42) |  ~ relation(v42) |  ~ in(v47, v42) |  ~ in(v46, v42) |  ? [v48] : (ordered_pair(v43, v45) = v48 & in(v48, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (ordered_pair(v44, v45) = v46) |  ~ (ordered_pair(v43, v45) = v47) |  ~ transitive(v42) |  ~ relation(v42) |  ~ in(v46, v42) | in(v47, v42) |  ? [v48] : (ordered_pair(v43, v44) = v48 &  ~ in(v48, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (ordered_pair(v43, v45) = v47) |  ~ (ordered_pair(v43, v44) = v46) |  ~ transitive(v42) |  ~ relation(v42) |  ~ in(v46, v42) | in(v47, v42) |  ? [v48] : (ordered_pair(v44, v45) = v48 &  ~ in(v48, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (ordered_pair(v42, v43) = v46) |  ~ (cartesian_product2(v44, v45) = v47) |  ~ in(v46, v47) | in(v43, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (ordered_pair(v42, v43) = v46) |  ~ (cartesian_product2(v44, v45) = v47) |  ~ in(v46, v47) | in(v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (ordered_pair(v42, v43) = v46) |  ~ (cartesian_product2(v44, v45) = v47) |  ~ in(v43, v45) |  ~ in(v42, v44) | in(v46, v47)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (cartesian_product2(v43, v45) = v47) |  ~ (cartesian_product2(v42, v44) = v46) |  ~ subset(v44, v45) |  ~ subset(v42, v43) | subset(v46, v47)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v46 = v45 |  ~ (join(v42, v44, v45) = v46) |  ~ (the_carrier(v42) = v43) |  ~ below(v42, v44, v45) |  ~ join_semilatt_str(v42) |  ~ element(v45, v43) |  ~ element(v44, v43) | empty_carrier(v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v46 = v45 |  ~ (relation_dom(v43) = v44) |  ~ (apply(v43, v45) = v46) |  ~ (identity_relation(v42) = v43) |  ~ relation(v43) |  ~ function(v43) |  ~ in(v45, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v46 = v44 | v46 = v43 | v46 = v42 |  ~ (unordered_triple(v42, v43, v44) = v45) |  ~ in(v46, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v45 = v44 |  ~ (relation_field(v42) = v43) |  ~ (ordered_pair(v45, v44) = v46) |  ~ connected(v42) |  ~ relation(v42) |  ~ in(v45, v43) |  ~ in(v44, v43) | in(v46, v42) |  ? [v47] : (ordered_pair(v44, v45) = v47 & in(v47, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v45 = v44 |  ~ (relation_field(v42) = v43) |  ~ (ordered_pair(v44, v45) = v46) |  ~ connected(v42) |  ~ relation(v42) |  ~ in(v45, v43) |  ~ in(v44, v43) | in(v46, v42) |  ? [v47] : (ordered_pair(v45, v44) = v47 & in(v47, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v45 = v44 |  ~ (relation_dom(v42) = v43) |  ~ (apply(v42, v45) = v46) |  ~ (apply(v42, v44) = v46) |  ~ one_to_one(v42) |  ~ relation(v42) |  ~ function(v42) |  ~ in(v45, v43) |  ~ in(v44, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v45 = v44 |  ~ (identity_relation(v42) = v43) |  ~ (ordered_pair(v44, v45) = v46) |  ~ relation(v43) |  ~ in(v46, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v45 = v44 |  ~ (ordered_pair(v45, v44) = v46) |  ~ is_connected_in(v42, v43) |  ~ relation(v42) |  ~ in(v45, v43) |  ~ in(v44, v43) | in(v46, v42) |  ? [v47] : (ordered_pair(v44, v45) = v47 & in(v47, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v45 = v44 |  ~ (ordered_pair(v45, v44) = v46) |  ~ is_antisymmetric_in(v42, v43) |  ~ relation(v42) |  ~ in(v46, v42) |  ~ in(v45, v43) |  ~ in(v44, v43) |  ? [v47] : (ordered_pair(v44, v45) = v47 &  ~ in(v47, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v45 = v44 |  ~ (ordered_pair(v44, v45) = v46) |  ~ is_connected_in(v42, v43) |  ~ relation(v42) |  ~ in(v45, v43) |  ~ in(v44, v43) | in(v46, v42) |  ? [v47] : (ordered_pair(v45, v44) = v47 & in(v47, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v45 = v44 |  ~ (ordered_pair(v44, v45) = v46) |  ~ is_antisymmetric_in(v42, v43) |  ~ relation(v42) |  ~ in(v46, v42) |  ~ in(v45, v43) |  ~ in(v44, v43) |  ? [v47] : (ordered_pair(v45, v44) = v47 &  ~ in(v47, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v45 = v43 |  ~ (fiber(v42, v43) = v44) |  ~ (ordered_pair(v45, v43) = v46) |  ~ relation(v42) |  ~ in(v46, v42) | in(v45, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v45 = v43 |  ~ (ordered_pair(v44, v45) = v46) |  ~ (ordered_pair(v42, v43) = v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v45 = v42 | v44 = v42 |  ~ (unordered_pair(v44, v45) = v46) |  ~ (unordered_pair(v42, v43) = v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v44 = v42 |  ~ (ordered_pair(v44, v45) = v46) |  ~ (ordered_pair(v42, v43) = v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v43 = v42 |  ~ (apply_binary(v46, v45, v44) = v43) |  ~ (apply_binary(v46, v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v43 = v42 |  ~ (subset_difference(v46, v45, v44) = v43) |  ~ (subset_difference(v46, v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v43 = v42 |  ~ (relation_rng_as_subset(v46, v45, v44) = v43) |  ~ (relation_rng_as_subset(v46, v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v43 = v42 |  ~ (meet(v46, v45, v44) = v43) |  ~ (meet(v46, v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v43 = v42 |  ~ (join(v46, v45, v44) = v43) |  ~ (join(v46, v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v43 = v42 |  ~ (relation_dom_as_subset(v46, v45, v44) = v43) |  ~ (relation_dom_as_subset(v46, v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v43 = v42 |  ~ (unordered_triple(v46, v45, v44) = v43) |  ~ (unordered_triple(v46, v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v43 = v42 |  ~ (subset_intersection2(v46, v45, v44) = v43) |  ~ (subset_intersection2(v46, v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v43 = v42 |  ~ (meet_commut(v46, v45, v44) = v43) |  ~ (meet_commut(v46, v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v43 = v42 |  ~ (join_commut(v46, v45, v44) = v43) |  ~ (join_commut(v46, v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v43 = empty_set |  ~ (subset_difference(v42, v44, v45) = v46) |  ~ (meet_of_subsets(v42, v43) = v45) |  ~ (cast_to_subset(v42) = v44) |  ? [v47] :  ? [v48] :  ? [v49] :  ? [v50] : (union_of_subsets(v42, v49) = v50 & complements_of_subsets(v42, v43) = v49 & powerset(v47) = v48 & powerset(v42) = v47 & (v50 = v46 |  ~ element(v43, v48)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v43 = empty_set |  ~ (subset_difference(v42, v44, v45) = v46) |  ~ (union_of_subsets(v42, v43) = v45) |  ~ (cast_to_subset(v42) = v44) |  ? [v47] :  ? [v48] :  ? [v49] :  ? [v50] : (meet_of_subsets(v42, v49) = v50 & complements_of_subsets(v42, v43) = v49 & powerset(v47) = v48 & powerset(v42) = v47 & (v50 = v46 |  ~ element(v43, v48)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v43 = empty_set |  ~ (apply(v45, v44) = v46) |  ~ quasi_total(v45, v42, v43) |  ~ relation_of2_as_subset(v45, v42, v43) |  ~ function(v45) |  ~ in(v44, v42) |  ? [v47] : (relation_rng(v45) = v47 & in(v46, v47))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v42 = empty_set |  ~ (subset_complement(v42, v44) = v45) |  ~ (powerset(v42) = v43) |  ~ element(v46, v42) |  ~ element(v44, v43) | in(v46, v45) | in(v46, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (function_inverse(v43) = v44) |  ~ (relation_composition(v44, v43) = v45) |  ~ (apply(v45, v42) = v46) |  ~ one_to_one(v43) |  ~ relation(v43) |  ~ function(v43) |  ? [v47] :  ? [v48] :  ? [v49] : (relation_rng(v43) = v47 & apply(v44, v42) = v48 & apply(v43, v48) = v49 & ( ~ in(v42, v47) | (v49 = v42 & v46 = v42)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (function_inverse(v43) = v44) |  ~ (apply(v44, v42) = v45) |  ~ (apply(v43, v45) = v46) |  ~ one_to_one(v43) |  ~ relation(v43) |  ~ function(v43) |  ? [v47] :  ? [v48] :  ? [v49] : (relation_composition(v44, v43) = v48 & relation_rng(v43) = v47 & apply(v48, v42) = v49 & ( ~ in(v42, v47) | (v49 = v42 & v46 = v42)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_composition(v44, v43) = v45) |  ~ (apply(v45, v42) = v46) |  ~ relation(v44) |  ~ relation(v43) |  ~ function(v44) |  ~ function(v43) |  ? [v47] :  ? [v48] :  ? [v49] : (relation_dom(v45) = v47 & apply(v44, v42) = v48 & apply(v43, v48) = v49 & (v49 = v46 |  ~ in(v42, v47)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_inverse(v42) = v43) |  ~ (ordered_pair(v45, v44) = v46) |  ~ relation(v43) |  ~ relation(v42) |  ~ in(v46, v42) |  ? [v47] : (ordered_pair(v44, v45) = v47 & in(v47, v43))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_inverse(v42) = v43) |  ~ (ordered_pair(v45, v44) = v46) |  ~ relation(v43) |  ~ relation(v42) | in(v46, v42) |  ? [v47] : (ordered_pair(v44, v45) = v47 &  ~ in(v47, v43))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_inverse(v42) = v43) |  ~ (ordered_pair(v44, v45) = v46) |  ~ relation(v43) |  ~ relation(v42) |  ~ in(v46, v43) |  ? [v47] : (ordered_pair(v45, v44) = v47 & in(v47, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_inverse(v42) = v43) |  ~ (ordered_pair(v44, v45) = v46) |  ~ relation(v43) |  ~ relation(v42) | in(v46, v43) |  ? [v47] : (ordered_pair(v45, v44) = v47 &  ~ in(v47, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_restriction(v44, v42) = v45) |  ~ (fiber(v45, v43) = v46) |  ~ relation(v44) |  ? [v47] : (fiber(v44, v43) = v47 & subset(v46, v47))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (subset_complement(v42, v45) = v46) |  ~ (powerset(v42) = v44) |  ~ disjoint(v43, v45) |  ~ element(v45, v44) |  ~ element(v43, v44) | subset(v43, v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (subset_complement(v42, v45) = v46) |  ~ (powerset(v42) = v44) |  ~ subset(v43, v46) |  ~ element(v45, v44) |  ~ element(v43, v44) | disjoint(v43, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (set_difference(v43, v45) = v46) |  ~ (singleton(v44) = v45) |  ~ subset(v42, v43) | subset(v42, v46) | in(v44, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (set_difference(v43, v44) = v46) |  ~ (set_difference(v42, v44) = v45) |  ~ subset(v42, v43) | subset(v45, v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (set_difference(v43, v44) = v46) |  ~ (powerset(v42) = v45) |  ~ element(v44, v45) |  ~ element(v43, v45) | subset_difference(v42, v43, v44) = v46) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (fiber(v42, v43) = v44) |  ~ (ordered_pair(v45, v43) = v46) |  ~ relation(v42) |  ~ in(v45, v44) | in(v46, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (singleton(v42) = v45) |  ~ (unordered_pair(v44, v45) = v46) |  ~ (unordered_pair(v42, v43) = v44) | ordered_pair(v42, v43) = v46) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_rng(v45) = v46) |  ~ relation_of2_as_subset(v45, v44, v42) |  ~ subset(v46, v43) | relation_of2_as_subset(v45, v44, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_rng(v44) = v46) |  ~ (ordered_pair(v42, v43) = v45) |  ~ relation(v44) |  ~ in(v45, v44) | in(v43, v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_rng(v44) = v46) |  ~ (ordered_pair(v42, v43) = v45) |  ~ relation(v44) |  ~ in(v45, v44) |  ? [v47] : (relation_dom(v44) = v47 & in(v42, v47))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_rng(v42) = v43) |  ~ (ordered_pair(v45, v44) = v46) |  ~ relation(v42) |  ~ in(v46, v42) | in(v44, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_inverse_image(v44, v43) = v46) |  ~ (relation_inverse_image(v44, v42) = v45) |  ~ subset(v42, v43) |  ~ relation(v44) | subset(v45, v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_field(v44) = v46) |  ~ (ordered_pair(v42, v43) = v45) |  ~ relation(v44) |  ~ in(v45, v44) | in(v43, v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_field(v44) = v46) |  ~ (ordered_pair(v42, v43) = v45) |  ~ relation(v44) |  ~ in(v45, v44) | in(v42, v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_rng_restriction(v42, v45) = v46) |  ~ (relation_dom_restriction(v44, v43) = v45) |  ~ relation(v44) |  ? [v47] : (relation_rng_restriction(v42, v44) = v47 & relation_dom_restriction(v47, v43) = v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_rng_restriction(v42, v44) = v45) |  ~ (relation_dom_restriction(v45, v43) = v46) |  ~ relation(v44) |  ? [v47] : (relation_rng_restriction(v42, v47) = v46 & relation_dom_restriction(v44, v43) = v47)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_dom(v44) = v46) |  ~ (ordered_pair(v42, v43) = v45) |  ~ relation(v44) |  ~ function(v44) |  ? [v47] : (apply(v44, v42) = v47 & ( ~ (v47 = v43) |  ~ in(v42, v46) | in(v45, v44)) & ( ~ in(v45, v44) | (v47 = v43 & in(v42, v46))))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_dom(v44) = v46) |  ~ (ordered_pair(v42, v43) = v45) |  ~ relation(v44) |  ~ in(v45, v44) | in(v42, v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_dom(v44) = v46) |  ~ (ordered_pair(v42, v43) = v45) |  ~ relation(v44) |  ~ in(v45, v44) |  ? [v47] : (relation_rng(v44) = v47 & in(v43, v47))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_dom(v43) = v44) |  ~ (relation_image(v43, v45) = v46) |  ~ (set_intersection2(v44, v42) = v45) |  ~ relation(v43) | relation_image(v43, v42) = v46) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_dom(v43) = v44) |  ~ (apply(v45, v42) = v46) |  ~ relation(v45) |  ~ relation(v43) |  ~ function(v45) |  ~ function(v43) |  ? [v47] :  ? [v48] :  ? [v49] : (relation_composition(v45, v43) = v47 & relation_dom(v47) = v48 & relation_dom(v45) = v49 & ( ~ in(v46, v44) |  ~ in(v42, v49) | in(v42, v48)) & ( ~ in(v42, v48) | (in(v46, v44) & in(v42, v49))))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_dom(v43) = v44) |  ~ (relation_dom_restriction(v45, v42) = v46) |  ~ relation(v45) |  ~ relation(v43) |  ~ function(v45) |  ~ function(v43) |  ? [v47] :  ? [v48] :  ? [v49] :  ? [v50] :  ? [v51] : (relation_dom(v45) = v47 & set_intersection2(v47, v42) = v48 & ( ~ (v48 = v44) | v46 = v43 | ( ~ (v51 = v50) & apply(v45, v49) = v51 & apply(v43, v49) = v50 & in(v49, v44))) & ( ~ (v46 = v43) | (v48 = v44 &  ! [v52] :  ! [v53] : ( ~ (apply(v45, v52) = v53) |  ~ in(v52, v44) | apply(v43, v52) = v53) &  ! [v52] :  ! [v53] : ( ~ (apply(v43, v52) = v53) |  ~ in(v52, v44) | apply(v45, v52) = v53))))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_dom(v42) = v43) |  ~ (relation_image(v42, v44) = v45) |  ~ relation(v42) |  ~ function(v42) |  ~ in(v46, v45) |  ? [v47] : (apply(v42, v47) = v46 & in(v47, v44) & in(v47, v43))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_dom(v42) = v43) |  ~ (ordered_pair(v44, v45) = v46) |  ~ relation(v42) |  ~ function(v42) |  ~ in(v44, v43) |  ? [v47] : (apply(v42, v44) = v47 & ( ~ (v47 = v45) | in(v46, v42)) & (v47 = v45 |  ~ in(v46, v42)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_dom(v42) = v43) |  ~ (ordered_pair(v44, v45) = v46) |  ~ relation(v42) |  ~ in(v46, v42) | in(v44, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (apply(v45, v43) = v46) |  ~ (relation_dom_restriction(v44, v42) = v45) |  ~ relation(v44) |  ~ function(v44) |  ~ in(v43, v42) | apply(v44, v43) = v46) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (apply(v45, v43) = v46) |  ~ (relation_dom_restriction(v44, v42) = v45) |  ~ relation(v44) |  ~ function(v44) |  ? [v47] :  ? [v48] : (relation_dom(v45) = v47 & apply(v44, v43) = v48 & (v48 = v46 |  ~ in(v43, v47)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (apply(v44, v43) = v46) |  ~ (relation_dom_restriction(v44, v42) = v45) |  ~ relation(v44) |  ~ function(v44) |  ? [v47] :  ? [v48] : (relation_dom(v45) = v47 & apply(v45, v43) = v48 & (v48 = v46 |  ~ in(v43, v47)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (apply(v44, v42) = v46) |  ~ (ordered_pair(v42, v43) = v45) |  ~ relation(v44) |  ~ function(v44) |  ? [v47] : (relation_dom(v44) = v47 & ( ~ (v46 = v43) |  ~ in(v42, v47) | in(v45, v44)) & ( ~ in(v45, v44) | (v46 = v43 & in(v42, v47))))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (apply(v44, v42) = v45) |  ~ (apply(v43, v45) = v46) |  ~ relation(v44) |  ~ relation(v43) |  ~ function(v44) |  ~ function(v43) |  ? [v47] :  ? [v48] :  ? [v49] : (relation_composition(v44, v43) = v47 & relation_dom(v47) = v48 & apply(v47, v42) = v49 & (v49 = v46 |  ~ in(v42, v48)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (identity_relation(v42) = v43) |  ~ (ordered_pair(v44, v45) = v46) |  ~ relation(v43) |  ~ in(v46, v43) | in(v44, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (ordered_pair(v44, v45) = v46) |  ~ subset(v42, v43) |  ~ relation(v43) |  ~ relation(v42) |  ~ in(v46, v42) | in(v46, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (meet_commut(v42, v44, v45) = v46) |  ~ (the_carrier(v42) = v43) |  ~ meet_absorbing(v42) |  ~ latt_str(v42) |  ~ meet_commutative(v42) |  ~ element(v45, v43) |  ~ element(v44, v43) | below(v42, v46, v44) | empty_carrier(v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (set_intersection2(v43, v44) = v46) |  ~ (set_intersection2(v42, v44) = v45) |  ~ subset(v42, v43) | subset(v45, v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (set_intersection2(v43, v44) = v46) |  ~ (powerset(v42) = v45) |  ~ element(v44, v45) |  ~ element(v43, v45) | subset_intersection2(v42, v43, v44) = v46) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (cartesian_product2(v44, v43) = v46) |  ~ (cartesian_product2(v44, v42) = v45) |  ~ subset(v42, v43) | subset(v45, v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (cartesian_product2(v44, v43) = v46) |  ~ (cartesian_product2(v44, v42) = v45) |  ~ subset(v42, v43) |  ? [v47] :  ? [v48] : (cartesian_product2(v43, v44) = v48 & cartesian_product2(v42, v44) = v47 & subset(v47, v48))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (cartesian_product2(v44, v43) = v46) |  ~ (cartesian_product2(v42, v44) = v45) |  ~ subset(v42, v43) |  ? [v47] :  ? [v48] : (cartesian_product2(v44, v42) = v48 & cartesian_product2(v43, v44) = v47 & subset(v48, v46) & subset(v45, v47))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (cartesian_product2(v44, v42) = v46) |  ~ (cartesian_product2(v43, v44) = v45) |  ~ subset(v42, v43) |  ? [v47] :  ? [v48] : (cartesian_product2(v44, v43) = v48 & cartesian_product2(v42, v44) = v47 & subset(v47, v45) & subset(v46, v48))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (cartesian_product2(v43, v44) = v46) |  ~ (cartesian_product2(v42, v44) = v45) |  ~ subset(v42, v43) | subset(v45, v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (cartesian_product2(v43, v44) = v46) |  ~ (cartesian_product2(v42, v44) = v45) |  ~ subset(v42, v43) |  ? [v47] :  ? [v48] : (cartesian_product2(v44, v43) = v48 & cartesian_product2(v44, v42) = v47 & subset(v47, v48))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v46 = v42 |  ~ (unordered_triple(v43, v44, v45) = v46) |  ? [v47] : ((v47 = v45 | v47 = v44 | v47 = v43 | in(v47, v42)) & ( ~ in(v47, v42) | ( ~ (v47 = v45) &  ~ (v47 = v44) &  ~ (v47 = v43))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v46 = v42 |  ~ (relation_inverse_image(v43, v45) = v46) |  ~ (relation_dom(v43) = v44) |  ~ relation(v43) |  ~ function(v43) |  ? [v47] :  ? [v48] : (apply(v43, v47) = v48 & ( ~ in(v48, v45) |  ~ in(v47, v44) |  ~ in(v47, v42)) & (in(v47, v42) | (in(v48, v45) & in(v47, v44))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v46 = v42 |  ~ (relation_dom(v43) = v44) |  ~ (relation_image(v43, v45) = v46) |  ~ relation(v43) |  ~ function(v43) |  ? [v47] :  ? [v48] :  ? [v49] : (( ~ in(v47, v42) |  ! [v50] : ( ~ (apply(v43, v50) = v47) |  ~ in(v50, v45) |  ~ in(v50, v44))) & (in(v47, v42) | (v49 = v47 & apply(v43, v48) = v47 & in(v48, v45) & in(v48, v44))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v44 = v42 |  ~ (pair_second(v43) = v44) |  ~ (ordered_pair(v45, v46) = v43) |  ? [v47] :  ? [v48] : ( ~ (v48 = v42) & ordered_pair(v47, v48) = v43)) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : (v44 = v42 |  ~ (pair_first(v43) = v44) |  ~ (ordered_pair(v45, v46) = v43) |  ? [v47] :  ? [v48] : ( ~ (v47 = v42) & ordered_pair(v47, v48) = v43)) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_composition(v45, v43) = v46) |  ~ (relation_dom(v43) = v44) |  ~ relation(v45) |  ~ relation(v43) |  ~ function(v45) |  ~ function(v43) |  ? [v47] :  ? [v48] :  ? [v49] : (relation_dom(v46) = v47 & relation_dom(v45) = v48 & apply(v45, v42) = v49 & ( ~ in(v49, v44) |  ~ in(v42, v48) | in(v42, v47)) & ( ~ in(v42, v47) | (in(v49, v44) & in(v42, v48))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_dom(v45) = v46) |  ~ (relation_dom(v43) = v44) |  ~ relation(v45) |  ~ relation(v43) |  ~ function(v45) |  ~ function(v43) |  ? [v47] :  ? [v48] :  ? [v49] : (relation_composition(v45, v43) = v47 & relation_dom(v47) = v48 & apply(v45, v42) = v49 & ( ~ in(v49, v44) |  ~ in(v42, v46) | in(v42, v48)) & ( ~ in(v42, v48) | (in(v49, v44) & in(v42, v46))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (relation_dom(v44) = v46) |  ~ (powerset(v43) = v45) |  ~ relation(v44) |  ~ function(v44) |  ? [v47] :  ? [v48] :  ? [v49] : (powerset(v46) = v48 & powerset(v45) = v47 & ( ~ element(v42, v47) | ( ! [v50] :  ! [v51] : ( ~ (relation_image(v44, v50) = v51) |  ~ in(v51, v42) |  ~ in(v50, v48) | in(v50, v49)) &  ! [v50] :  ! [v51] : ( ~ (relation_image(v44, v50) = v51) |  ~ in(v50, v49) | in(v51, v42)) &  ! [v50] :  ! [v51] : ( ~ (relation_image(v44, v50) = v51) |  ~ in(v50, v49) | in(v50, v48)))))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v44 |  ~ (relation_composition(v42, v43) = v44) |  ~ relation(v45) |  ~ relation(v43) |  ~ relation(v42) |  ? [v46] :  ? [v47] :  ? [v48] :  ? [v49] :  ? [v50] :  ? [v51] : (ordered_pair(v46, v47) = v48 & ( ~ in(v48, v45) | ( ! [v52] :  ! [v53] : ( ~ (ordered_pair(v52, v47) = v53) |  ~ in(v53, v43) |  ? [v54] : (ordered_pair(v46, v52) = v54 &  ~ in(v54, v42))) &  ! [v52] :  ! [v53] : ( ~ (ordered_pair(v46, v52) = v53) |  ~ in(v53, v42) |  ? [v54] : (ordered_pair(v52, v47) = v54 &  ~ in(v54, v43))))) & (in(v48, v45) | (ordered_pair(v49, v47) = v51 & ordered_pair(v46, v49) = v50 & in(v51, v43) & in(v50, v42))))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v44 |  ~ (relation_rng_restriction(v42, v43) = v44) |  ~ relation(v45) |  ~ relation(v43) |  ? [v46] :  ? [v47] :  ? [v48] : (ordered_pair(v46, v47) = v48 & ( ~ in(v48, v45) |  ~ in(v48, v43) |  ~ in(v47, v42)) & (in(v48, v45) | (in(v48, v43) & in(v47, v42))))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v44 |  ~ (relation_dom_restriction(v42, v43) = v45) |  ~ relation(v44) |  ~ relation(v42) |  ? [v46] :  ? [v47] :  ? [v48] : (ordered_pair(v46, v47) = v48 & ( ~ in(v48, v44) |  ~ in(v48, v42) |  ~ in(v46, v43)) & (in(v48, v44) | (in(v48, v42) & in(v46, v43))))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v44 |  ~ (the_carrier(v42) = v43) |  ~ below(v42, v45, v44) |  ~ below(v42, v44, v45) |  ~ join_semilatt_str(v42) |  ~ join_commutative(v42) |  ~ element(v45, v43) |  ~ element(v44, v43) | empty_carrier(v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v43 | v45 = v42 |  ~ (unordered_pair(v42, v43) = v44) |  ~ in(v45, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v43 |  ~ (relation_rng_as_subset(v42, v43, v44) = v45) |  ~ relation_of2_as_subset(v44, v42, v43) |  ? [v46] : (in(v46, v43) &  ! [v47] :  ! [v48] : ( ~ (ordered_pair(v47, v46) = v48) |  ~ in(v48, v44)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v43 |  ~ (complements_of_subsets(v42, v44) = v45) |  ~ (complements_of_subsets(v42, v43) = v44) |  ? [v46] :  ? [v47] : (powerset(v46) = v47 & powerset(v42) = v46 &  ~ element(v43, v47))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v43 |  ~ (subset_complement(v42, v44) = v45) |  ~ (subset_complement(v42, v43) = v44) |  ? [v46] : (powerset(v42) = v46 &  ~ element(v43, v46))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v43 |  ~ (set_difference(v43, v42) = v44) |  ~ (set_union2(v42, v44) = v45) |  ~ subset(v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v43 |  ~ (singleton(v42) = v44) |  ~ (set_union2(v44, v43) = v45) |  ~ in(v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v43 |  ~ (relation_dom_as_subset(v43, v42, v44) = v45) |  ~ relation_of2_as_subset(v44, v43, v42) |  ? [v46] : (in(v46, v43) &  ! [v47] :  ! [v48] : ( ~ (ordered_pair(v46, v47) = v48) |  ~ in(v48, v44)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v43 |  ~ (apply(v44, v43) = v45) |  ~ (identity_relation(v42) = v44) |  ~ in(v43, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v42 | v43 = empty_set |  ~ (relation_dom_as_subset(v42, v43, v44) = v45) |  ~ quasi_total(v44, v42, v43) |  ~ relation_of2_as_subset(v44, v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v42 |  ~ (set_difference(v42, v44) = v45) |  ~ (singleton(v43) = v44) | in(v43, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v42 |  ~ (relation_inverse_image(v43, v42) = v44) |  ~ (relation_image(v43, v44) = v45) |  ~ relation(v43) |  ~ function(v43) |  ? [v46] : (relation_rng(v43) = v46 &  ~ subset(v42, v46))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = empty_set |  ~ (relation_dom(v42) = v43) |  ~ (apply(v42, v44) = v45) |  ~ relation(v42) |  ~ function(v42) | in(v44, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v44 = v43 |  ~ (singleton(v42) = v45) |  ~ (unordered_pair(v43, v44) = v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v44 = v43 |  ~ (ordered_pair(v44, v43) = v45) |  ~ antisymmetric(v42) |  ~ relation(v42) |  ~ in(v45, v42) |  ? [v46] : (ordered_pair(v43, v44) = v46 &  ~ in(v46, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v44 = v43 |  ~ (ordered_pair(v43, v44) = v45) |  ~ antisymmetric(v42) |  ~ relation(v42) |  ~ in(v45, v42) |  ? [v46] : (ordered_pair(v44, v43) = v46 &  ~ in(v46, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (meet_of_subsets(v45, v44) = v43) |  ~ (meet_of_subsets(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (union_of_subsets(v45, v44) = v43) |  ~ (union_of_subsets(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (complements_of_subsets(v45, v44) = v43) |  ~ (complements_of_subsets(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (relation_composition(v45, v44) = v43) |  ~ (relation_composition(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (relation_restriction(v45, v44) = v43) |  ~ (relation_restriction(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (subset_complement(v45, v44) = v43) |  ~ (subset_complement(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (set_difference(v45, v44) = v43) |  ~ (set_difference(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (fiber(v45, v44) = v43) |  ~ (fiber(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (singleton(v43) = v45) |  ~ (singleton(v42) = v44) |  ~ subset(v44, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (singleton(v42) = v45) |  ~ (unordered_pair(v43, v44) = v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (relation_inverse_image(v45, v44) = v43) |  ~ (relation_inverse_image(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (relation_rng_restriction(v45, v44) = v43) |  ~ (relation_rng_restriction(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (relation_image(v45, v44) = v43) |  ~ (relation_image(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (apply(v45, v44) = v43) |  ~ (apply(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (relation_dom_restriction(v45, v44) = v43) |  ~ (relation_dom_restriction(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (ordered_pair(v45, v44) = v43) |  ~ (ordered_pair(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (set_intersection2(v45, v44) = v43) |  ~ (set_intersection2(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (set_union2(v45, v44) = v43) |  ~ (set_union2(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (unordered_pair(v45, v44) = v43) |  ~ (unordered_pair(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = v42 |  ~ (cartesian_product2(v45, v44) = v43) |  ~ (cartesian_product2(v45, v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = empty_set |  ~ (meet_of_subsets(v42, v44) = v45) |  ~ (complements_of_subsets(v42, v43) = v44) |  ? [v46] :  ? [v47] :  ? [v48] :  ? [v49] :  ? [v50] : (subset_difference(v42, v48, v49) = v50 & union_of_subsets(v42, v43) = v49 & cast_to_subset(v42) = v48 & powerset(v46) = v47 & powerset(v42) = v46 & (v50 = v45 |  ~ element(v43, v47)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = empty_set |  ~ (union_of_subsets(v42, v44) = v45) |  ~ (complements_of_subsets(v42, v43) = v44) |  ? [v46] :  ? [v47] :  ? [v48] :  ? [v49] :  ? [v50] : (subset_difference(v42, v48, v49) = v50 & meet_of_subsets(v42, v43) = v49 & cast_to_subset(v42) = v48 & powerset(v46) = v47 & powerset(v42) = v46 & (v50 = v45 |  ~ element(v43, v47)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = empty_set |  ~ quasi_total(v45, v42, v43) |  ~ relation_of2_as_subset(v45, v42, v43) |  ~ subset(v43, v44) |  ~ function(v45) | quasi_total(v45, v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v43 = empty_set |  ~ quasi_total(v45, v42, v43) |  ~ relation_of2_as_subset(v45, v42, v43) |  ~ subset(v43, v44) |  ~ function(v45) | relation_of2_as_subset(v45, v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v42 = empty_set |  ~ (set_meet(v42) = v43) |  ~ in(v45, v42) |  ~ in(v44, v43) | in(v44, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (subset_difference(v42, v43, v44) = v45) |  ? [v46] :  ? [v47] : (set_difference(v43, v44) = v47 & powerset(v42) = v46 & (v47 = v45 |  ~ element(v44, v46) |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (subset_difference(v42, v43, v44) = v45) |  ? [v46] : (powerset(v42) = v46 & ( ~ element(v44, v46) |  ~ element(v43, v46) | element(v45, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_rng_as_subset(v42, v43, v44) = v45) |  ~ relation_of2(v44, v42, v43) | relation_rng(v44) = v45) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_rng_as_subset(v42, v43, v44) = v45) |  ~ relation_of2(v44, v42, v43) |  ? [v46] : (powerset(v43) = v46 & element(v45, v46))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_rng_as_subset(v42, v43, v44) = v43) |  ~ relation_of2_as_subset(v44, v42, v43) |  ~ in(v45, v43) |  ? [v46] :  ? [v47] : (ordered_pair(v46, v45) = v47 & in(v47, v44))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (function_inverse(v44) = v45) |  ~ relation_isomorphism(v42, v43, v44) |  ~ relation(v44) |  ~ relation(v43) |  ~ relation(v42) |  ~ function(v44) | relation_isomorphism(v43, v42, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_composition(v44, v43) = v45) |  ~ (identity_relation(v42) = v44) |  ~ relation(v43) | relation_dom_restriction(v43, v42) = v45) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_composition(v42, v44) = v45) |  ~ (relation_rng(v42) = v43) |  ~ relation(v44) |  ~ relation(v42) |  ? [v46] : (relation_rng(v45) = v46 & relation_image(v44, v43) = v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_composition(v42, v44) = v45) |  ~ (relation_dom(v42) = v43) |  ~ relation(v44) |  ~ relation(v42) |  ? [v46] : (relation_dom(v45) = v46 & subset(v46, v43))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (subset_complement(v42, v44) = v45) |  ~ in(v43, v45) |  ~ in(v43, v44) |  ? [v46] : (powerset(v42) = v46 &  ~ element(v44, v46))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_difference(v44, v43) = v45) |  ~ (set_union2(v42, v43) = v44) | set_difference(v42, v43) = v45) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_difference(v43, v42) = v44) |  ~ (set_union2(v42, v44) = v45) | set_union2(v42, v43) = v45) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_difference(v42, v44) = v45) |  ~ (set_difference(v42, v43) = v44) | set_intersection2(v42, v43) = v45) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_difference(v42, v43) = v44) |  ~ in(v45, v44) |  ~ in(v45, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_difference(v42, v43) = v44) |  ~ in(v45, v44) | in(v45, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_difference(v42, v43) = v44) |  ~ in(v45, v42) | in(v45, v44) | in(v45, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (union(v43) = v45) |  ~ (powerset(v42) = v44) |  ? [v46] :  ? [v47] : (union_of_subsets(v42, v43) = v47 & powerset(v44) = v46 & (v47 = v45 |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (union(v42) = v43) |  ~ in(v45, v42) |  ~ in(v44, v45) | in(v44, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (meet(v42, v43, v44) = v45) |  ~ meet_semilatt_str(v42) |  ~ meet_commutative(v42) | empty_carrier(v42) |  ? [v46] :  ? [v47] : (meet_commut(v42, v43, v44) = v47 & the_carrier(v42) = v46 & (v47 = v45 |  ~ element(v44, v46) |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (meet(v42, v43, v44) = v45) |  ~ meet_semilatt_str(v42) | empty_carrier(v42) |  ? [v46] : (the_carrier(v42) = v46 & ( ~ element(v44, v46) |  ~ element(v43, v46) | element(v45, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (fiber(v42, v43) = v44) |  ~ (ordered_pair(v43, v43) = v45) |  ~ relation(v42) |  ~ in(v43, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_meet(v43) = v45) |  ~ (powerset(v42) = v44) |  ? [v46] :  ? [v47] : (meet_of_subsets(v42, v43) = v47 & powerset(v44) = v46 & (v47 = v45 |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (join(v42, v44, v45) = v45) |  ~ (the_carrier(v42) = v43) |  ~ join_semilatt_str(v42) |  ~ element(v45, v43) |  ~ element(v44, v43) | below(v42, v44, v45) | empty_carrier(v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (join(v42, v43, v44) = v45) |  ~ join_semilatt_str(v42) |  ~ join_commutative(v42) | empty_carrier(v42) |  ? [v46] :  ? [v47] : (the_carrier(v42) = v46 & join_commut(v42, v43, v44) = v47 & (v47 = v45 |  ~ element(v44, v46) |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (join(v42, v43, v44) = v45) |  ~ join_semilatt_str(v42) | empty_carrier(v42) |  ? [v46] : (the_carrier(v42) = v46 & ( ~ element(v44, v46) |  ~ element(v43, v46) | element(v45, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_dom_as_subset(v43, v42, v44) = v43) |  ~ relation_of2_as_subset(v44, v43, v42) |  ~ in(v45, v43) |  ? [v46] :  ? [v47] : (ordered_pair(v45, v46) = v47 & in(v47, v44))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_dom_as_subset(v42, v43, v44) = v45) |  ~ relation_of2(v44, v42, v43) | relation_dom(v44) = v45) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_dom_as_subset(v42, v43, v44) = v45) |  ~ relation_of2(v44, v42, v43) |  ? [v46] : (powerset(v42) = v46 & element(v45, v46))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_rng(v44) = v45) |  ~ relation_of2_as_subset(v44, v42, v43) | subset(v45, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_rng(v44) = v45) |  ~ relation_of2_as_subset(v44, v42, v43) |  ? [v46] : (relation_dom(v44) = v46 & subset(v46, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_rng(v43) = v44) |  ~ (set_intersection2(v44, v42) = v45) |  ~ relation(v43) |  ? [v46] : (relation_rng(v46) = v45 & relation_rng_restriction(v42, v43) = v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_rng(v42) = v44) |  ~ (relation_dom(v42) = v43) |  ~ (set_union2(v43, v44) = v45) |  ~ relation(v42) | relation_field(v42) = v45) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_rng(v42) = v44) |  ~ (relation_dom(v42) = v43) |  ~ (cartesian_product2(v43, v44) = v45) |  ~ relation(v42) | subset(v42, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_rng(v42) = v43) |  ~ (relation_image(v44, v43) = v45) |  ~ relation(v44) |  ~ relation(v42) |  ? [v46] : (relation_composition(v42, v44) = v46 & relation_rng(v46) = v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (unordered_triple(v42, v43, v44) = v45) | in(v44, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (unordered_triple(v42, v43, v44) = v45) | in(v43, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (unordered_triple(v42, v43, v44) = v45) | in(v42, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_inverse_image(v43, v44) = v45) |  ~ (relation_image(v43, v42) = v44) |  ~ relation(v43) | subset(v42, v45) |  ? [v46] : (relation_dom(v43) = v46 &  ~ subset(v42, v46))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_inverse_image(v43, v42) = v44) |  ~ (relation_image(v43, v44) = v45) |  ~ relation(v43) |  ~ function(v43) | subset(v45, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_inverse_image(v42, v43) = v44) |  ~ relation(v42) |  ~ in(v45, v44) |  ? [v46] :  ? [v47] : (ordered_pair(v45, v46) = v47 & in(v47, v42) & in(v46, v43))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_field(v42) = v43) |  ~ (ordered_pair(v44, v44) = v45) |  ~ reflexive(v42) |  ~ relation(v42) |  ~ in(v44, v43) | in(v45, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_rng_restriction(v42, v44) = v45) |  ~ (relation_dom_restriction(v43, v42) = v44) |  ~ relation(v43) | relation_restriction(v43, v42) = v45) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_rng_restriction(v42, v43) = v44) |  ~ (relation_dom_restriction(v44, v42) = v45) |  ~ relation(v43) | relation_restriction(v43, v42) = v45) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_dom(v44) = v45) |  ~ relation_of2_as_subset(v44, v42, v43) | subset(v45, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_dom(v44) = v45) |  ~ relation_of2_as_subset(v44, v42, v43) |  ? [v46] : (relation_rng(v44) = v46 & subset(v46, v43))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_dom(v43) = v44) |  ~ (set_intersection2(v44, v42) = v45) |  ~ relation(v43) |  ? [v46] : (relation_dom(v46) = v45 & relation_dom_restriction(v43, v42) = v46)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_image(v42, v43) = v44) |  ~ relation(v42) |  ~ in(v45, v44) |  ? [v46] :  ? [v47] : (ordered_pair(v46, v45) = v47 & in(v47, v42) & in(v46, v43))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (identity_relation(v42) = v43) |  ~ (ordered_pair(v44, v44) = v45) |  ~ relation(v43) |  ~ in(v44, v42) | in(v45, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (ordered_pair(v44, v44) = v45) |  ~ is_reflexive_in(v42, v43) |  ~ relation(v42) |  ~ in(v44, v43) | in(v45, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (subset_intersection2(v42, v44, v43) = v45) |  ? [v46] :  ? [v47] : (subset_intersection2(v42, v43, v44) = v47 & powerset(v42) = v46 & (v47 = v45 |  ~ element(v44, v46) |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (subset_intersection2(v42, v43, v44) = v45) |  ? [v46] :  ? [v47] : (subset_intersection2(v42, v44, v43) = v47 & powerset(v42) = v46 & (v47 = v45 |  ~ element(v44, v46) |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (subset_intersection2(v42, v43, v44) = v45) |  ? [v46] :  ? [v47] : (set_intersection2(v43, v44) = v47 & powerset(v42) = v46 & (v47 = v45 |  ~ element(v44, v46) |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (subset_intersection2(v42, v43, v44) = v45) |  ? [v46] : (powerset(v42) = v46 & ( ~ element(v44, v46) |  ~ element(v43, v46) | element(v45, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (meet_commut(v42, v44, v43) = v45) |  ~ meet_semilatt_str(v42) |  ~ meet_commutative(v42) | empty_carrier(v42) |  ? [v46] :  ? [v47] : (meet_commut(v42, v43, v44) = v47 & the_carrier(v42) = v46 & (v47 = v45 |  ~ element(v44, v46) |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (meet_commut(v42, v43, v44) = v45) |  ~ meet_semilatt_str(v42) |  ~ meet_commutative(v42) | empty_carrier(v42) |  ? [v46] :  ? [v47] : (meet(v42, v43, v44) = v47 & the_carrier(v42) = v46 & (v47 = v45 |  ~ element(v44, v46) |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (meet_commut(v42, v43, v44) = v45) |  ~ meet_semilatt_str(v42) |  ~ meet_commutative(v42) | empty_carrier(v42) |  ? [v46] :  ? [v47] : (meet_commut(v42, v44, v43) = v47 & the_carrier(v42) = v46 & (v47 = v45 |  ~ element(v44, v46) |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (meet_commut(v42, v43, v44) = v45) |  ~ meet_semilatt_str(v42) |  ~ meet_commutative(v42) | empty_carrier(v42) |  ? [v46] : (the_carrier(v42) = v46 & ( ~ element(v44, v46) |  ~ element(v43, v46) | element(v45, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_intersection2(v43, v44) = v45) |  ~ subset(v42, v44) |  ~ subset(v42, v43) | subset(v42, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_intersection2(v42, v44) = v45) |  ~ (cartesian_product2(v43, v43) = v44) |  ~ relation(v42) | relation_restriction(v42, v43) = v45) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ disjoint(v42, v43) |  ~ in(v45, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ in(v45, v44) | in(v45, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ in(v45, v44) | in(v45, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ in(v45, v43) |  ~ in(v45, v42) | in(v45, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (join_commut(v42, v44, v43) = v45) |  ~ join_semilatt_str(v42) |  ~ join_commutative(v42) | empty_carrier(v42) |  ? [v46] :  ? [v47] : (the_carrier(v42) = v46 & join_commut(v42, v43, v44) = v47 & (v47 = v45 |  ~ element(v44, v46) |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (join_commut(v42, v43, v44) = v45) |  ~ join_semilatt_str(v42) |  ~ join_commutative(v42) | empty_carrier(v42) |  ? [v46] :  ? [v47] : (join(v42, v43, v44) = v47 & the_carrier(v42) = v46 & (v47 = v45 |  ~ element(v44, v46) |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (join_commut(v42, v43, v44) = v45) |  ~ join_semilatt_str(v42) |  ~ join_commutative(v42) | empty_carrier(v42) |  ? [v46] :  ? [v47] : (the_carrier(v42) = v46 & join_commut(v42, v44, v43) = v47 & (v47 = v45 |  ~ element(v44, v46) |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (join_commut(v42, v43, v44) = v45) |  ~ join_semilatt_str(v42) |  ~ join_commutative(v42) | empty_carrier(v42) |  ? [v46] : (the_carrier(v42) = v46 & ( ~ element(v44, v46) |  ~ element(v43, v46) | element(v45, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_union2(v42, v44) = v45) |  ~ subset(v44, v43) |  ~ subset(v42, v43) | subset(v45, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_union2(v42, v43) = v44) |  ~ in(v45, v44) | in(v45, v43) | in(v45, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_union2(v42, v43) = v44) |  ~ in(v45, v43) | in(v45, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (set_union2(v42, v43) = v44) |  ~ in(v45, v42) | in(v45, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (unordered_pair(v42, v43) = v45) |  ~ subset(v45, v44) | in(v43, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (unordered_pair(v42, v43) = v45) |  ~ subset(v45, v44) | in(v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (unordered_pair(v42, v43) = v45) |  ~ in(v43, v44) |  ~ in(v42, v44) | subset(v45, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (cartesian_product2(v42, v44) = v45) |  ~ relation(v43) | empty(v42) |  ? [v46] : ( ! [v47] :  ! [v48] :  ! [v49] : ( ~ (ordered_pair(v48, v49) = v47) |  ~ in(v49, v48) |  ~ in(v48, v42) |  ~ in(v47, v45) | in(v47, v46) |  ? [v50] :  ? [v51] : (ordered_pair(v49, v50) = v51 & in(v50, v48) &  ~ in(v51, v43))) &  ! [v47] : ( ~ in(v47, v46) | in(v47, v45)) &  ! [v47] : ( ~ in(v47, v46) |  ? [v48] :  ? [v49] : (ordered_pair(v48, v49) = v47 & in(v49, v48) & in(v48, v42) &  ! [v50] :  ! [v51] : ( ~ (ordered_pair(v49, v50) = v51) |  ~ in(v50, v48) | in(v51, v43)))))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (cartesian_product2(v42, v43) = v45) |  ~ relation_of2(v44, v42, v43) | subset(v44, v45)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (cartesian_product2(v42, v43) = v45) |  ~ relation_of2_as_subset(v44, v42, v43) |  ? [v46] : (powerset(v45) = v46 & element(v44, v46))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (cartesian_product2(v42, v43) = v45) |  ~ subset(v44, v45) | relation_of2(v44, v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (cartesian_product2(v42, v43) = v44) |  ~ in(v45, v44) |  ? [v46] :  ? [v47] : (ordered_pair(v46, v47) = v45 & in(v47, v43) & in(v46, v42))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (cartesian_product2(v42, v42) = v45) |  ~ relation(v44) |  ~ relation(v43) |  ~ function(v44) |  ? [v46] : ( ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] :  ! [v51] :  ! [v52] : ( ~ (apply(v44, v49) = v51) |  ~ (apply(v44, v48) = v50) |  ~ (ordered_pair(v50, v51) = v52) |  ~ in(v52, v43) |  ~ in(v47, v45) | in(v47, v46) |  ? [v53] : ( ~ (v53 = v47) & ordered_pair(v48, v49) = v53)) &  ! [v47] :  ! [v48] :  ! [v49] : ( ~ (ordered_pair(v48, v49) = v47) |  ~ in(v47, v45) | in(v47, v46) |  ? [v50] :  ? [v51] :  ? [v52] : (apply(v44, v49) = v51 & apply(v44, v48) = v50 & ordered_pair(v50, v51) = v52 &  ~ in(v52, v43))) &  ! [v47] : ( ~ in(v47, v46) | in(v47, v45)) &  ! [v47] : ( ~ in(v47, v46) |  ? [v48] :  ? [v49] :  ? [v50] :  ? [v51] :  ? [v52] : (apply(v44, v49) = v51 & apply(v44, v48) = v50 & ordered_pair(v50, v51) = v52 & ordered_pair(v48, v49) = v47 & in(v52, v43))))) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (powerset(v44) = v45) |  ~ empty(v44) |  ~ element(v43, v45) |  ~ in(v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (powerset(v44) = v45) |  ~ element(v43, v45) |  ~ in(v42, v43) | element(v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (powerset(v42) = v44) |  ~ element(v43, v44) |  ~ in(v45, v43) | in(v45, v42)) &  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ relation_of2_as_subset(v45, v44, v42) |  ~ subset(v42, v43) | relation_of2_as_subset(v45, v44, v43)) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v44 |  ~ (subset_intersection2(v43, v44, v44) = v45) |  ? [v46] : (powerset(v43) = v46 & ( ~ element(v44, v46) |  ~ element(v42, v46)))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v42 |  ~ (set_difference(v43, v44) = v45) |  ? [v46] : (( ~ in(v46, v43) |  ~ in(v46, v42) | in(v46, v44)) & (in(v46, v42) | (in(v46, v43) &  ~ in(v46, v44))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v42 |  ~ (fiber(v43, v44) = v45) |  ~ relation(v43) |  ? [v46] :  ? [v47] : (ordered_pair(v46, v44) = v47 & (v46 = v44 |  ~ in(v47, v43) |  ~ in(v46, v42)) & (in(v46, v42) | ( ~ (v46 = v44) & in(v47, v43))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v42 |  ~ (relation_inverse_image(v43, v44) = v45) |  ~ relation(v43) |  ? [v46] :  ? [v47] :  ? [v48] : (( ~ in(v46, v42) |  ! [v49] :  ! [v50] : ( ~ (ordered_pair(v46, v49) = v50) |  ~ in(v50, v43) |  ~ in(v49, v44))) & (in(v46, v42) | (ordered_pair(v46, v47) = v48 & in(v48, v43) & in(v47, v44))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v42 |  ~ (relation_image(v43, v44) = v45) |  ~ relation(v43) |  ? [v46] :  ? [v47] :  ? [v48] : (( ~ in(v46, v42) |  ! [v49] :  ! [v50] : ( ~ (ordered_pair(v49, v46) = v50) |  ~ in(v50, v43) |  ~ in(v49, v44))) & (in(v46, v42) | (ordered_pair(v47, v46) = v48 & in(v48, v43) & in(v47, v44))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v42 |  ~ (set_intersection2(v43, v44) = v45) |  ? [v46] : (( ~ in(v46, v44) |  ~ in(v46, v43) |  ~ in(v46, v42)) & (in(v46, v42) | (in(v46, v44) & in(v46, v43))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v42 |  ~ (set_union2(v43, v44) = v45) |  ? [v46] : (( ~ in(v46, v42) | ( ~ in(v46, v44) &  ~ in(v46, v43))) & (in(v46, v44) | in(v46, v43) | in(v46, v42)))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v42 |  ~ (unordered_pair(v43, v44) = v45) |  ? [v46] : ((v46 = v44 | v46 = v43 | in(v46, v42)) & ( ~ in(v46, v42) | ( ~ (v46 = v44) &  ~ (v46 = v43))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : (v45 = v42 |  ~ (cartesian_product2(v43, v44) = v45) |  ? [v46] :  ? [v47] :  ? [v48] :  ? [v49] : (( ~ in(v46, v42) |  ! [v50] :  ! [v51] : ( ~ (ordered_pair(v50, v51) = v46) |  ~ in(v51, v44) |  ~ in(v50, v43))) & (in(v46, v42) | (v49 = v46 & ordered_pair(v47, v48) = v46 & in(v48, v44) & in(v47, v43))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_composition(v44, v43) = v45) |  ~ relation(v44) |  ~ relation(v43) |  ~ function(v44) |  ~ function(v43) |  ? [v46] :  ? [v47] :  ? [v48] :  ? [v49] : (relation_dom(v45) = v46 & apply(v45, v42) = v47 & apply(v44, v42) = v48 & apply(v43, v48) = v49 & (v49 = v47 |  ~ in(v42, v46)))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_restriction(v44, v43) = v45) |  ~ relation(v44) |  ? [v46] :  ? [v47] : (relation_field(v45) = v46 & relation_field(v44) = v47 & ( ~ in(v42, v46) | (in(v42, v47) & in(v42, v43))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_restriction(v44, v43) = v45) |  ~ relation(v44) |  ? [v46] : (cartesian_product2(v43, v43) = v46 & ( ~ in(v42, v46) |  ~ in(v42, v44) | in(v42, v45)) & ( ~ in(v42, v45) | (in(v42, v46) & in(v42, v44))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_inverse_image(v44, v43) = v45) |  ~ relation(v44) |  ? [v46] :  ? [v47] :  ? [v48] : (relation_rng(v44) = v46 & ( ~ in(v42, v45) | (ordered_pair(v42, v47) = v48 & in(v48, v44) & in(v47, v46) & in(v47, v43))) & (in(v42, v45) |  ! [v49] :  ! [v50] : ( ~ (ordered_pair(v42, v49) = v50) |  ~ in(v50, v44) |  ~ in(v49, v46) |  ~ in(v49, v43))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_rng_restriction(v43, v44) = v45) |  ~ relation(v44) |  ? [v46] :  ? [v47] : (relation_rng(v45) = v46 & relation_rng(v44) = v47 & ( ~ in(v42, v47) |  ~ in(v42, v43) | in(v42, v46)) & ( ~ in(v42, v46) | (in(v42, v47) & in(v42, v43))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_image(v44, v43) = v45) |  ~ relation(v44) |  ? [v46] :  ? [v47] :  ? [v48] : (relation_dom(v44) = v46 & ( ~ in(v42, v45) | (ordered_pair(v47, v42) = v48 & in(v48, v44) & in(v47, v46) & in(v47, v43))) & (in(v42, v45) |  ! [v49] :  ! [v50] : ( ~ (ordered_pair(v49, v42) = v50) |  ~ in(v50, v44) |  ~ in(v49, v46) |  ~ in(v49, v43))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_dom_restriction(v44, v43) = v45) |  ~ relation(v44) |  ~ function(v44) |  ? [v46] :  ? [v47] : (relation_dom(v45) = v46 & relation_dom(v44) = v47 & ( ~ in(v42, v47) |  ~ in(v42, v43) | in(v42, v46)) & ( ~ in(v42, v46) | (in(v42, v47) & in(v42, v43))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (relation_dom_restriction(v44, v43) = v45) |  ~ relation(v44) |  ? [v46] :  ? [v47] : (relation_dom(v45) = v46 & relation_dom(v44) = v47 & ( ~ in(v42, v47) |  ~ in(v42, v43) | in(v42, v46)) & ( ~ in(v42, v46) | (in(v42, v47) & in(v42, v43))))) &  ? [v42] :  ! [v43] :  ! [v44] :  ! [v45] : ( ~ (cartesian_product2(v43, v44) = v45) | relation(v42) |  ? [v46] : (powerset(v45) = v46 &  ~ element(v42, v46))) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = v43 |  ~ (relation_inverse(v42) = v43) |  ~ relation(v44) |  ~ relation(v42) |  ? [v45] :  ? [v46] :  ? [v47] :  ? [v48] : (ordered_pair(v46, v45) = v48 & ordered_pair(v45, v46) = v47 & ( ~ in(v48, v42) |  ~ in(v47, v44)) & (in(v48, v42) | in(v47, v44)))) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = v43 |  ~ (inclusion_relation(v42) = v44) |  ~ (relation_field(v43) = v42) |  ~ relation(v43) |  ? [v45] :  ? [v46] :  ? [v47] : (ordered_pair(v45, v46) = v47 & in(v46, v42) & in(v45, v42) & ( ~ subset(v45, v46) |  ~ in(v47, v43)) & (subset(v45, v46) | in(v47, v43)))) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = v43 |  ~ (relation_dom(v43) = v42) |  ~ (identity_relation(v42) = v44) |  ~ relation(v43) |  ~ function(v43) |  ? [v45] :  ? [v46] : ( ~ (v46 = v45) & apply(v43, v45) = v46 & in(v45, v42))) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = v43 |  ~ (identity_relation(v42) = v44) |  ~ relation(v43) |  ? [v45] :  ? [v46] :  ? [v47] : (ordered_pair(v45, v46) = v47 & ( ~ (v46 = v45) |  ~ in(v47, v43) |  ~ in(v45, v42)) & (in(v47, v43) | (v46 = v45 & in(v45, v42))))) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = v43 |  ~ (set_union2(v42, v43) = v44) |  ~ subset(v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = v43 |  ~ epsilon_connected(v42) |  ~ in(v44, v42) |  ~ in(v43, v42) | in(v44, v43) | in(v43, v44)) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = v42 | v42 = empty_set |  ~ (singleton(v43) = v44) |  ~ subset(v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = v42 |  ~ (set_difference(v42, v43) = v44) |  ~ disjoint(v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = v42 |  ~ (inclusion_relation(v42) = v43) |  ~ (relation_field(v43) = v44) |  ~ relation(v43)) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = v42 |  ~ (singleton(v42) = v43) |  ~ in(v44, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = v42 |  ~ (relation_dom(v43) = v44) |  ~ (identity_relation(v42) = v43) |  ~ relation(v43) |  ~ function(v43)) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = v42 |  ~ (set_intersection2(v42, v43) = v44) |  ~ subset(v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = empty_set |  ~ (set_difference(v42, v43) = v44) |  ~ subset(v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = empty_set |  ~ (relation_dom_as_subset(empty_set, v42, v43) = v44) |  ~ quasi_total(v43, empty_set, v42) |  ~ relation_of2_as_subset(v43, empty_set, v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = empty_set |  ~ (relation_field(v42) = v43) |  ~ well_founded_relation(v42) |  ~ subset(v44, v43) |  ~ relation(v42) |  ? [v45] :  ? [v46] : (fiber(v42, v45) = v46 & disjoint(v46, v44) & in(v45, v44))) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = empty_set |  ~ (set_intersection2(v42, v43) = v44) |  ~ disjoint(v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : (v44 = empty_set |  ~ is_well_founded_in(v42, v43) |  ~ subset(v44, v43) |  ~ relation(v42) |  ? [v45] :  ? [v46] : (fiber(v42, v45) = v46 & disjoint(v46, v44) & in(v45, v44))) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (function_inverse(v44) = v43) |  ~ (function_inverse(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (relation_inverse(v44) = v43) |  ~ (relation_inverse(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (union(v44) = v43) |  ~ (union(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (cast_to_subset(v44) = v43) |  ~ (cast_to_subset(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (cast_as_carrier_subset(v44) = v43) |  ~ (cast_as_carrier_subset(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (pair_second(v44) = v43) |  ~ (pair_second(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (the_L_meet(v44) = v43) |  ~ (the_L_meet(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (inclusion_relation(v44) = v43) |  ~ (inclusion_relation(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (set_meet(v44) = v43) |  ~ (set_meet(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (singleton(v44) = v43) |  ~ (singleton(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (succ(v44) = v43) |  ~ (succ(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (pair_first(v44) = v43) |  ~ (pair_first(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (the_L_join(v44) = v43) |  ~ (the_L_join(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (relation_rng(v44) = v43) |  ~ (relation_rng(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (relation_field(v44) = v43) |  ~ (relation_field(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (relation_dom(v44) = v43) |  ~ (relation_dom(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (identity_relation(v44) = v43) |  ~ (identity_relation(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (the_carrier(v44) = v43) |  ~ (the_carrier(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = v42 |  ~ (powerset(v44) = v43) |  ~ (powerset(v44) = v42)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = empty_set | v42 = empty_set |  ~ (relation_dom_as_subset(v42, empty_set, v43) = v44) |  ~ quasi_total(v43, v42, empty_set) |  ~ relation_of2_as_subset(v43, v42, empty_set)) &  ! [v42] :  ! [v43] :  ! [v44] : (v43 = empty_set |  ~ (relation_dom_as_subset(v42, v43, v44) = v42) |  ~ relation_of2_as_subset(v44, v42, v43) | quasi_total(v44, v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (meet_of_subsets(v42, v43) = v44) |  ? [v45] :  ? [v46] :  ? [v47] : (set_meet(v43) = v47 & powerset(v45) = v46 & powerset(v42) = v45 & (v47 = v44 |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (meet_of_subsets(v42, v43) = v44) |  ? [v45] :  ? [v46] : (powerset(v45) = v46 & powerset(v42) = v45 & ( ~ element(v43, v46) | element(v44, v45)))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (union_of_subsets(v42, v43) = v44) |  ? [v45] :  ? [v46] :  ? [v47] : (union(v43) = v47 & powerset(v45) = v46 & powerset(v42) = v45 & (v47 = v44 |  ~ element(v43, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (union_of_subsets(v42, v43) = v44) |  ? [v45] :  ? [v46] : (powerset(v45) = v46 & powerset(v42) = v45 & ( ~ element(v43, v46) | element(v44, v45)))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (complements_of_subsets(v42, v43) = v44) |  ? [v45] :  ? [v46] : (powerset(v45) = v46 & powerset(v42) = v45 & ( ~ element(v43, v46) | element(v44, v46)))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (complements_of_subsets(v42, v43) = v44) |  ? [v45] :  ? [v46] : (powerset(v45) = v46 & powerset(v42) = v45 & ( ~ element(v43, v46) | ( ! [v47] :  ! [v48] : ( ~ (subset_complement(v42, v47) = v48) |  ~ element(v47, v45) |  ~ element(v44, v46) |  ~ in(v48, v43) | in(v47, v44)) &  ! [v47] :  ! [v48] : ( ~ (subset_complement(v42, v47) = v48) |  ~ element(v47, v45) |  ~ element(v44, v46) |  ~ in(v47, v44) | in(v48, v43)) &  ! [v47] : (v47 = v44 |  ~ element(v47, v46) |  ? [v48] :  ? [v49] : (subset_complement(v42, v48) = v49 & element(v48, v45) & ( ~ in(v49, v43) |  ~ in(v48, v47)) & (in(v49, v43) | in(v48, v47)))))))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_composition(v43, v42) = v44) |  ~ relation(v43) |  ~ empty(v42) | relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_composition(v43, v42) = v44) |  ~ relation(v43) |  ~ empty(v42) | empty(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_composition(v42, v43) = v44) |  ~ relation(v43) |  ~ relation(v42) |  ~ function(v43) |  ~ function(v42) | relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_composition(v42, v43) = v44) |  ~ relation(v43) |  ~ relation(v42) |  ~ function(v43) |  ~ function(v42) | function(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_composition(v42, v43) = v44) |  ~ relation(v43) |  ~ relation(v42) | relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_composition(v42, v43) = v44) |  ~ relation(v43) |  ~ relation(v42) |  ? [v45] :  ? [v46] : (relation_rng(v44) = v45 & relation_rng(v43) = v46 & subset(v45, v46))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_composition(v42, v43) = v44) |  ~ relation(v43) |  ~ empty(v42) | relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_composition(v42, v43) = v44) |  ~ relation(v43) |  ~ empty(v42) | empty(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v43, v42) = v44) |  ~ well_orders(v43, v42) |  ~ relation(v43) | relation_field(v44) = v42) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v43, v42) = v44) |  ~ well_orders(v43, v42) |  ~ relation(v43) | well_ordering(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v43, v42) = v44) |  ~ reflexive(v43) |  ~ relation(v43) | reflexive(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v43, v42) = v44) |  ~ well_ordering(v43) |  ~ relation(v43) | well_ordering(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v43, v42) = v44) |  ~ well_ordering(v43) |  ~ relation(v43) |  ? [v45] :  ? [v46] : (relation_field(v44) = v46 & relation_field(v43) = v45 & (v46 = v42 |  ~ subset(v42, v45)))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v43, v42) = v44) |  ~ well_founded_relation(v43) |  ~ relation(v43) | well_founded_relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v43, v42) = v44) |  ~ transitive(v43) |  ~ relation(v43) | transitive(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v43, v42) = v44) |  ~ connected(v43) |  ~ relation(v43) | connected(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v43, v42) = v44) |  ~ antisymmetric(v43) |  ~ relation(v43) | antisymmetric(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v43, v42) = v44) |  ~ relation(v43) |  ? [v45] :  ? [v46] : (relation_field(v44) = v45 & relation_field(v43) = v46 & subset(v45, v46) & subset(v45, v42))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v43, v42) = v44) |  ~ relation(v43) |  ? [v45] : (relation_rng_restriction(v42, v45) = v44 & relation_dom_restriction(v43, v42) = v45)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v43, v42) = v44) |  ~ relation(v43) |  ? [v45] : (relation_rng_restriction(v42, v43) = v45 & relation_dom_restriction(v45, v42) = v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v42, v43) = v44) |  ~ relation(v42) | relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_restriction(v42, v43) = v44) |  ~ relation(v42) |  ? [v45] : (set_intersection2(v42, v45) = v44 & cartesian_product2(v43, v43) = v45)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (subset_complement(v42, v43) = v44) |  ? [v45] :  ? [v46] : (set_difference(v42, v43) = v46 & powerset(v42) = v45 & (v46 = v44 |  ~ element(v43, v45)))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (subset_complement(v42, v43) = v44) |  ? [v45] : (powerset(v42) = v45 & ( ~ element(v43, v45) | element(v44, v45)))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v44) = v42) |  ~ (singleton(v43) = v44) |  ~ in(v43, v42)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ relation(v43) |  ~ relation(v42) | relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ finite(v42) | finite(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v5_membered(v42) | v5_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v5_membered(v42) | v4_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v5_membered(v42) | v3_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v5_membered(v42) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v5_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v4_membered(v42) | v4_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v4_membered(v42) | v3_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v4_membered(v42) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v4_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v3_membered(v42) | v3_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v3_membered(v42) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v3_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v2_membered(v42) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v2_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ~ v1_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) | subset(v44, v42)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ? [v45] :  ? [v46] : (subset_complement(v42, v43) = v46 & powerset(v42) = v45 & (v46 = v44 |  ~ element(v43, v45)))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_difference(v42, v43) = v44) |  ? [v45] : (set_difference(v45, v43) = v44 & set_union2(v42, v43) = v45)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (union(v43) = v44) |  ~ in(v42, v43) | subset(v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (union(v42) = v43) |  ~ in(v44, v43) |  ? [v45] : (in(v45, v42) & in(v44, v45))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (singleton(v42) = v44) |  ~ disjoint(v44, v43) |  ~ in(v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (singleton(v42) = v44) |  ~ subset(v44, v43) | in(v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (singleton(v42) = v44) |  ~ in(v42, v43) | subset(v44, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (singleton(v42) = v43) |  ~ (set_union2(v42, v43) = v44) | succ(v42) = v44) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (succ(v43) = v44) |  ~ being_limit_ordinal(v42) |  ~ ordinal(v43) |  ~ ordinal(v42) |  ~ in(v43, v42) | in(v44, v42)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (succ(v42) = v43) |  ~ ordinal_subset(v43, v44) |  ~ ordinal(v44) |  ~ ordinal(v42) | in(v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (succ(v42) = v43) |  ~ ordinal(v44) |  ~ ordinal(v42) |  ~ in(v42, v44) | ordinal_subset(v43, v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_rng(v43) = v44) |  ~ relation(v43) |  ~ relation(v42) |  ? [v45] :  ? [v46] : (relation_composition(v42, v43) = v45 & relation_rng(v45) = v46 & subset(v46, v44))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_rng(v42) = v43) |  ~ relation(v42) |  ~ in(v44, v43) |  ? [v45] :  ? [v46] : (ordered_pair(v45, v44) = v46 & in(v46, v42))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_inverse_image(v43, v42) = v44) |  ~ relation(v43) |  ? [v45] : (relation_dom(v43) = v45 & subset(v44, v45))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_field(v43) = v44) |  ~ equipotent(v42, v44) |  ~ well_ordering(v43) |  ~ relation(v43) |  ? [v45] : (well_orders(v45, v42) & relation(v45))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_rng_restriction(v42, v43) = v44) |  ~ relation(v43) |  ~ function(v43) | relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_rng_restriction(v42, v43) = v44) |  ~ relation(v43) |  ~ function(v43) | function(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_rng_restriction(v42, v43) = v44) |  ~ relation(v43) | subset(v44, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_rng_restriction(v42, v43) = v44) |  ~ relation(v43) | relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_rng_restriction(v42, v43) = v44) |  ~ relation(v43) |  ? [v45] :  ? [v46] : (relation_rng(v44) = v45 & relation_rng(v43) = v46 & set_intersection2(v46, v42) = v45)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_rng_restriction(v42, v43) = v44) |  ~ relation(v43) |  ? [v45] :  ? [v46] : (relation_rng(v44) = v45 & relation_rng(v43) = v46 & subset(v45, v46))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_rng_restriction(v42, v43) = v44) |  ~ relation(v43) |  ? [v45] :  ? [v46] : (relation_dom(v44) = v45 & relation_dom(v43) = v46 & subset(v45, v46))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_rng_restriction(v42, v43) = v44) |  ~ relation(v43) |  ? [v45] : (relation_rng(v44) = v45 & subset(v45, v42))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_dom(v42) = v43) |  ~ (relation_image(v42, v43) = v44) |  ~ relation(v42) | relation_rng(v42) = v44) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_dom(v42) = v43) |  ~ relation(v42) |  ~ in(v44, v43) |  ? [v45] :  ? [v46] : (ordered_pair(v44, v45) = v46 & in(v46, v42))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_image(v43, v42) = v44) |  ~ relation(v43) |  ~ function(v43) |  ~ finite(v42) | finite(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_image(v43, v42) = v44) |  ~ relation(v43) |  ? [v45] :  ? [v46] : (relation_dom(v43) = v45 & relation_image(v43, v46) = v44 & set_intersection2(v45, v42) = v46)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_image(v43, v42) = v44) |  ~ relation(v43) |  ? [v45] : (relation_rng(v43) = v45 & subset(v44, v45))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_image(v42, v43) = v44) |  ~ relation(v42) |  ~ function(v42) |  ~ finite(v43) | finite(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (apply(v43, v42) = v44) |  ~ relation(v43) |  ~ function(v43) |  ? [v45] : (relation_dom(v43) = v45 &  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (relation_composition(v43, v46) = v47) |  ~ (apply(v47, v42) = v48) |  ~ relation(v46) |  ~ function(v46) |  ~ in(v42, v45) | apply(v46, v44) = v48) &  ! [v46] :  ! [v47] : ( ~ (apply(v46, v44) = v47) |  ~ relation(v46) |  ~ function(v46) |  ~ in(v42, v45) |  ? [v48] : (relation_composition(v43, v46) = v48 & apply(v48, v42) = v47)))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_dom_restriction(v43, v42) = v44) |  ~ relation(v43) | subset(v44, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_dom_restriction(v43, v42) = v44) |  ~ relation(v43) |  ? [v45] :  ? [v46] : (relation_rng(v44) = v45 & relation_rng(v43) = v46 & subset(v45, v46))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_dom_restriction(v43, v42) = v44) |  ~ relation(v43) |  ? [v45] :  ? [v46] : (relation_dom(v44) = v45 & relation_dom(v43) = v46 & set_intersection2(v46, v42) = v45)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_dom_restriction(v43, v42) = v44) |  ~ relation(v43) |  ? [v45] : (relation_composition(v45, v43) = v44 & identity_relation(v42) = v45)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_dom_restriction(v42, v43) = v44) |  ~ relation_empty_yielding(v42) |  ~ relation(v42) | relation_empty_yielding(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_dom_restriction(v42, v43) = v44) |  ~ relation_empty_yielding(v42) |  ~ relation(v42) | relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_dom_restriction(v42, v43) = v44) |  ~ relation(v42) |  ~ function(v42) | relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_dom_restriction(v42, v43) = v44) |  ~ relation(v42) |  ~ function(v42) | function(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_dom_restriction(v42, v43) = v44) |  ~ relation(v42) | relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (ordered_pair(v42, v43) = v44) |  ~ empty(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (ordered_pair(v42, v43) = v44) | pair_second(v44) = v43) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (ordered_pair(v42, v43) = v44) | pair_first(v44) = v42) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (ordered_pair(v42, v43) = v44) |  ? [v45] :  ? [v46] : (singleton(v42) = v46 & unordered_pair(v45, v46) = v44 & unordered_pair(v42, v43) = v45)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v5_membered(v42) | v5_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v5_membered(v42) | v4_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v5_membered(v42) | v3_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v5_membered(v42) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v5_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v4_membered(v42) | v4_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v4_membered(v42) | v3_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v4_membered(v42) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v4_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v3_membered(v42) | v3_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v3_membered(v42) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v3_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v2_membered(v42) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v2_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) |  ~ v1_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v43, v42) = v44) | set_intersection2(v42, v43) = v44) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ relation(v43) |  ~ relation(v42) | relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ finite(v43) | finite(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ finite(v42) | finite(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v5_membered(v42) | v5_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v5_membered(v42) | v4_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v5_membered(v42) | v3_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v5_membered(v42) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v5_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v4_membered(v42) | v4_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v4_membered(v42) | v3_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v4_membered(v42) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v4_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v3_membered(v42) | v3_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v3_membered(v42) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v3_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v2_membered(v42) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v2_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ~ v1_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) | set_intersection2(v43, v42) = v44) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) | disjoint(v42, v43) |  ? [v45] : in(v45, v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) | subset(v44, v42)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_intersection2(v42, v43) = v44) |  ? [v45] : (set_difference(v42, v45) = v44 & set_difference(v42, v43) = v45)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (the_carrier(v42) = v43) |  ~ (cartesian_product2(v43, v43) = v44) |  ~ meet_semilatt_str(v42) |  ? [v45] : (the_L_meet(v42) = v45 & quasi_total(v45, v44, v43) & relation_of2_as_subset(v45, v44, v43) & function(v45))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (the_carrier(v42) = v43) |  ~ (cartesian_product2(v43, v43) = v44) |  ~ join_semilatt_str(v42) |  ? [v45] : (the_L_join(v42) = v45 & quasi_total(v45, v44, v43) & relation_of2_as_subset(v45, v44, v43) & function(v45))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_union2(v43, v42) = v44) |  ~ empty(v44) | empty(v42)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_union2(v43, v42) = v44) | set_union2(v42, v43) = v44) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_union2(v42, v43) = v44) |  ~ relation(v43) |  ~ relation(v42) | relation(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_union2(v42, v43) = v44) |  ~ finite(v43) |  ~ finite(v42) | finite(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_union2(v42, v43) = v44) |  ~ empty(v44) | empty(v42)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_union2(v42, v43) = v44) | set_union2(v43, v42) = v44) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_union2(v42, v43) = v44) | subset(v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (set_union2(v42, v43) = v44) |  ? [v45] : (set_difference(v43, v42) = v45 & set_union2(v42, v45) = v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (unordered_pair(v43, v42) = v44) | unordered_pair(v42, v43) = v44) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (unordered_pair(v42, v43) = v44) |  ~ empty(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (unordered_pair(v42, v43) = v44) | unordered_pair(v43, v42) = v44) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (unordered_pair(v42, v43) = v44) | in(v43, v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (unordered_pair(v42, v43) = v44) | in(v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (cartesian_product2(v42, v43) = v44) |  ~ empty(v44) | empty(v43) | empty(v42)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (cartesian_product2(v42, v43) = v44) |  ? [v45] : ( ! [v46] :  ! [v47] :  ! [v48] : ( ~ (ordered_pair(v47, v48) = v46) |  ~ in(v47, v42) |  ~ in(v46, v44) | in(v46, v45) |  ? [v49] : ( ~ (v49 = v48) & singleton(v47) = v49)) &  ! [v46] : ( ~ in(v46, v45) | in(v46, v44)) &  ! [v46] : ( ~ in(v46, v45) |  ? [v47] :  ? [v48] : (singleton(v47) = v48 & ordered_pair(v47, v48) = v46 & in(v47, v42))))) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v43) = v44) |  ~ subset(v42, v43) | element(v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v43) = v44) |  ~ element(v42, v44) | subset(v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ subset(v44, v42) | in(v44, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ finite(v42) |  ~ element(v44, v43) | finite(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v5_membered(v42) |  ~ element(v44, v43) | v5_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v5_membered(v42) |  ~ element(v44, v43) | v4_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v5_membered(v42) |  ~ element(v44, v43) | v3_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v5_membered(v42) |  ~ element(v44, v43) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v5_membered(v42) |  ~ element(v44, v43) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v4_membered(v42) |  ~ element(v44, v43) | v4_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v4_membered(v42) |  ~ element(v44, v43) | v3_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v4_membered(v42) |  ~ element(v44, v43) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v4_membered(v42) |  ~ element(v44, v43) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v3_membered(v42) |  ~ element(v44, v43) | v3_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v3_membered(v42) |  ~ element(v44, v43) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v3_membered(v42) |  ~ element(v44, v43) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v2_membered(v42) |  ~ element(v44, v43) | v2_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ v2_membered(v42) |  ~ element(v44, v43) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ element(v44, v43) |  ~ v1_membered(v42) | v1_membered(v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v42) = v43) |  ~ in(v44, v43) | subset(v44, v42)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ relation_isomorphism(v42, v43, v44) |  ~ reflexive(v42) |  ~ relation(v44) |  ~ relation(v43) |  ~ relation(v42) |  ~ function(v44) | reflexive(v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ relation_isomorphism(v42, v43, v44) |  ~ well_ordering(v42) |  ~ relation(v44) |  ~ relation(v43) |  ~ relation(v42) |  ~ function(v44) | well_ordering(v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ relation_isomorphism(v42, v43, v44) |  ~ well_founded_relation(v42) |  ~ relation(v44) |  ~ relation(v43) |  ~ relation(v42) |  ~ function(v44) | well_founded_relation(v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ relation_isomorphism(v42, v43, v44) |  ~ transitive(v42) |  ~ relation(v44) |  ~ relation(v43) |  ~ relation(v42) |  ~ function(v44) | transitive(v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ relation_isomorphism(v42, v43, v44) |  ~ connected(v42) |  ~ relation(v44) |  ~ relation(v43) |  ~ relation(v42) |  ~ function(v44) | connected(v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ relation_isomorphism(v42, v43, v44) |  ~ antisymmetric(v42) |  ~ relation(v44) |  ~ relation(v43) |  ~ relation(v42) |  ~ function(v44) | antisymmetric(v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ disjoint(v43, v44) |  ~ subset(v42, v43) | disjoint(v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ disjoint(v42, v43) |  ~ in(v44, v43) |  ~ in(v44, v42)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ relation_of2(v44, v42, v43) | relation_of2_as_subset(v44, v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ quasi_total(v44, empty_set, v42) |  ~ relation_of2_as_subset(v44, empty_set, v42) |  ~ subset(v42, v43) |  ~ function(v44) | quasi_total(v44, empty_set, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ quasi_total(v44, empty_set, v42) |  ~ relation_of2_as_subset(v44, empty_set, v42) |  ~ subset(v42, v43) |  ~ function(v44) | relation_of2_as_subset(v44, empty_set, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ relation_of2_as_subset(v44, v42, v43) | relation_of2(v44, v42, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ subset(v43, v44) |  ~ subset(v42, v43) | subset(v42, v44)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ subset(v42, v43) |  ~ in(v44, v42) | in(v44, v43)) &  ! [v42] :  ! [v43] :  ! [v44] : ( ~ in(v44, v42) |  ~ in(v43, v44) |  ~ in(v42, v43)) &  ? [v42] :  ! [v43] :  ! [v44] : (v44 = v42 | v43 = empty_set |  ~ (set_meet(v43) = v44) |  ? [v45] :  ? [v46] : (( ~ in(v45, v42) | (in(v46, v43) &  ~ in(v45, v46))) & (in(v45, v42) |  ! [v47] : ( ~ in(v47, v43) | in(v45, v47))))) &  ? [v42] :  ! [v43] :  ! [v44] : (v44 = v42 |  ~ (union(v43) = v44) |  ? [v45] :  ? [v46] : (( ~ in(v45, v42) |  ! [v47] : ( ~ in(v47, v43) |  ~ in(v45, v47))) & (in(v45, v42) | (in(v46, v43) & in(v45, v46))))) &  ? [v42] :  ! [v43] :  ! [v44] : (v44 = v42 |  ~ (singleton(v43) = v44) |  ? [v45] : (( ~ (v45 = v43) |  ~ in(v43, v42)) & (v45 = v43 | in(v45, v42)))) &  ? [v42] :  ! [v43] :  ! [v44] : (v44 = v42 |  ~ (relation_rng(v43) = v44) |  ~ relation(v43) |  ? [v45] :  ? [v46] :  ? [v47] : (( ~ in(v45, v42) |  ! [v48] :  ! [v49] : ( ~ (ordered_pair(v48, v45) = v49) |  ~ in(v49, v43))) & (in(v45, v42) | (ordered_pair(v46, v45) = v47 & in(v47, v43))))) &  ? [v42] :  ! [v43] :  ! [v44] : (v44 = v42 |  ~ (relation_dom(v43) = v44) |  ~ relation(v43) |  ? [v45] :  ? [v46] :  ? [v47] : (( ~ in(v45, v42) |  ! [v48] :  ! [v49] : ( ~ (ordered_pair(v45, v48) = v49) |  ~ in(v49, v43))) & (in(v45, v42) | (ordered_pair(v45, v46) = v47 & in(v47, v43))))) &  ? [v42] :  ! [v43] :  ! [v44] : (v44 = v42 |  ~ (powerset(v43) = v44) |  ? [v45] : (( ~ subset(v45, v43) |  ~ in(v45, v42)) & (subset(v45, v43) | in(v45, v42)))) &  ? [v42] :  ! [v43] :  ! [v44] : (v43 = empty_set |  ~ (set_meet(v43) = v44) | in(v42, v44) |  ? [v45] : (in(v45, v43) &  ~ in(v42, v45))) &  ? [v42] :  ! [v43] :  ! [v44] : ( ~ (singleton(v43) = v44) |  ~ ordinal(v43) |  ? [v45] :  ? [v46] :  ? [v47] :  ? [v48] :  ? [v49] : (succ(v43) = v45 & powerset(v46) = v47 & powerset(v45) = v46 & powerset(v43) = v48 & ( ~ element(v42, v47) | ( ! [v50] :  ! [v51] : ( ~ (set_difference(v51, v44) = v50) |  ~ in(v51, v42) |  ~ in(v50, v48) | in(v50, v49)) &  ! [v50] : ( ~ in(v50, v49) | in(v50, v48)) &  ! [v50] : ( ~ in(v50, v49) |  ? [v51] : (set_difference(v51, v44) = v50 & in(v51, v42))))))) &  ? [v42] :  ! [v43] :  ! [v44] : ( ~ (singleton(v43) = v44) | disjoint(v44, v42) | in(v43, v42)) &  ? [v42] :  ! [v43] :  ! [v44] : ( ~ (succ(v43) = v44) |  ~ ordinal(v43) |  ? [v45] :  ? [v46] :  ? [v47] :  ? [v48] :  ? [v49] : (singleton(v43) = v48 & powerset(v45) = v46 & powerset(v44) = v45 & powerset(v43) = v47 & ( ~ element(v42, v46) | ( ! [v50] :  ! [v51] : ( ~ (set_difference(v51, v48) = v50) |  ~ in(v51, v42) |  ~ in(v50, v47) | in(v50, v49)) &  ! [v50] : ( ~ in(v50, v49) | in(v50, v47)) &  ! [v50] : ( ~ in(v50, v49) |  ? [v51] : (set_difference(v51, v48) = v50 & in(v51, v42))))))) &  ? [v42] :  ! [v43] :  ! [v44] : ( ~ (succ(v43) = v44) |  ~ ordinal(v43) |  ? [v45] :  ? [v46] :  ? [v47] :  ? [v48] :  ? [v49] : (singleton(v43) = v47 & powerset(v45) = v46 & powerset(v44) = v45 & powerset(v43) = v48 & ( ~ element(v42, v46) | ( ! [v50] :  ! [v51] : ( ~ (set_difference(v51, v47) = v50) |  ~ in(v51, v42) |  ~ in(v50, v48) | in(v50, v49)) &  ! [v50] : ( ~ in(v50, v49) | in(v50, v48)) &  ! [v50] : ( ~ in(v50, v49) |  ? [v51] : (set_difference(v51, v47) = v50 & in(v51, v42))))))) &  ? [v42] :  ! [v43] :  ! [v44] : ( ~ (succ(v43) = v44) |  ~ ordinal(v43) |  ? [v45] : ( ! [v46] : ( ~ ordinal(v46) |  ~ in(v46, v44) |  ~ in(v46, v42) | in(v46, v45)) &  ! [v46] : ( ~ in(v46, v45) | in(v46, v44)) &  ! [v46] : ( ~ in(v46, v45) | (ordinal(v46) & in(v46, v42))))) &  ? [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_rng(v44) = v43) |  ~ one_to_one(v44) |  ~ relation(v44) |  ~ function(v44) | equipotent(v42, v43) |  ? [v45] : ( ~ (v45 = v42) & relation_dom(v44) = v45)) &  ? [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_dom(v44) = v43) |  ~ one_to_one(v44) |  ~ relation(v44) |  ~ function(v44) | equipotent(v43, v42) |  ? [v45] : ( ~ (v45 = v42) & relation_rng(v44) = v45)) &  ? [v42] :  ! [v43] :  ! [v44] : ( ~ (relation_dom(v43) = v44) |  ~ relation(v43) |  ~ function(v43) |  ~ in(v44, omega) | finite(v42) |  ? [v45] : ( ~ (v45 = v42) & relation_rng(v43) = v45)) &  ? [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v43) = v44) |  ~ ordinal(v43) |  ? [v45] :  ? [v46] :  ? [v47] :  ? [v48] :  ? [v49] : (singleton(v43) = v48 & succ(v43) = v45 & powerset(v46) = v47 & powerset(v45) = v46 & ( ~ element(v42, v47) | ( ! [v50] :  ! [v51] : ( ~ (set_difference(v51, v48) = v50) |  ~ in(v51, v42) |  ~ in(v50, v44) | in(v50, v49)) &  ! [v50] : ( ~ in(v50, v49) | in(v50, v44)) &  ! [v50] : ( ~ in(v50, v49) |  ? [v51] : (set_difference(v51, v48) = v50 & in(v51, v42))))))) &  ? [v42] :  ! [v43] :  ! [v44] : ( ~ (powerset(v43) = v44) | element(v42, v44) |  ? [v45] : (in(v45, v42) &  ~ in(v45, v43))) &  ? [v42] :  ! [v43] :  ! [v44] : ( ~ relation(v44) |  ~ relation(v43) |  ~ function(v44) |  ? [v45] : (relation(v45) &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] : ( ~ (apply(v44, v47) = v49) |  ~ (apply(v44, v46) = v48) |  ~ (ordered_pair(v48, v49) = v50) |  ~ in(v50, v43) |  ~ in(v47, v42) |  ~ in(v46, v42) |  ? [v51] : (ordered_pair(v46, v47) = v51 & in(v51, v45))) &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] : ( ~ (apply(v44, v47) = v49) |  ~ (apply(v44, v46) = v48) |  ~ (ordered_pair(v48, v49) = v50) | in(v50, v43) |  ? [v51] : (ordered_pair(v46, v47) = v51 &  ~ in(v51, v45))) &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] : ( ~ (apply(v44, v47) = v49) |  ~ (apply(v44, v46) = v48) |  ~ (ordered_pair(v48, v49) = v50) | in(v47, v42) |  ? [v51] : (ordered_pair(v46, v47) = v51 &  ~ in(v51, v45))) &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] : ( ~ (apply(v44, v47) = v49) |  ~ (apply(v44, v46) = v48) |  ~ (ordered_pair(v48, v49) = v50) | in(v46, v42) |  ? [v51] : (ordered_pair(v46, v47) = v51 &  ~ in(v51, v45))) &  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (ordered_pair(v46, v47) = v48) |  ~ in(v48, v45) | in(v47, v42)) &  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (ordered_pair(v46, v47) = v48) |  ~ in(v48, v45) | in(v46, v42)) &  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (ordered_pair(v46, v47) = v48) |  ~ in(v48, v45) |  ? [v49] :  ? [v50] :  ? [v51] : (apply(v44, v47) = v50 & apply(v44, v46) = v49 & ordered_pair(v49, v50) = v51 & in(v51, v43))) &  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (ordered_pair(v46, v47) = v48) |  ~ in(v47, v42) |  ~ in(v46, v42) | in(v48, v45) |  ? [v49] :  ? [v50] :  ? [v51] : (apply(v44, v47) = v50 & apply(v44, v46) = v49 & ordered_pair(v49, v50) = v51 &  ~ in(v51, v43))))) &  ! [v42] :  ! [v43] : (v43 = v42 |  ~ (set_difference(v42, empty_set) = v43)) &  ! [v42] :  ! [v43] : (v43 = v42 |  ~ (union(v42) = v43) |  ~ being_limit_ordinal(v42)) &  ! [v42] :  ! [v43] : (v43 = v42 |  ~ (cast_to_subset(v42) = v43)) &  ! [v42] :  ! [v43] : (v43 = v42 |  ~ (set_intersection2(v42, v42) = v43)) &  ! [v42] :  ! [v43] : (v43 = v42 |  ~ (set_union2(v42, v42) = v43)) &  ! [v42] :  ! [v43] : (v43 = v42 |  ~ (set_union2(v42, empty_set) = v43)) &  ! [v42] :  ! [v43] : (v43 = v42 |  ~ subset(v43, v42) |  ~ subset(v42, v43)) &  ! [v42] :  ! [v43] : (v43 = v42 |  ~ subset(v42, v43) | proper_subset(v42, v43)) &  ! [v42] :  ! [v43] : (v43 = v42 |  ~ relation(v43) |  ~ relation(v42) |  ? [v44] :  ? [v45] :  ? [v46] : (ordered_pair(v44, v45) = v46 & ( ~ in(v46, v43) |  ~ in(v46, v42)) & (in(v46, v43) | in(v46, v42)))) &  ! [v42] :  ! [v43] : (v43 = v42 |  ~ ordinal(v43) |  ~ ordinal(v42) | in(v43, v42) | in(v42, v43)) &  ! [v42] :  ! [v43] : (v43 = v42 |  ~ empty(v43) |  ~ empty(v42)) &  ! [v42] :  ! [v43] : (v43 = empty_set |  ~ (complements_of_subsets(v42, v43) = empty_set) |  ? [v44] :  ? [v45] : (powerset(v44) = v45 & powerset(v42) = v44 &  ~ element(v43, v45))) &  ! [v42] :  ! [v43] : (v43 = empty_set |  ~ (set_difference(empty_set, v42) = v43)) &  ! [v42] :  ! [v43] : (v43 = empty_set |  ~ (set_intersection2(v42, empty_set) = v43)) &  ! [v42] :  ! [v43] : (v42 = empty_set |  ~ (relation_dom_as_subset(v42, empty_set, empty_set) = v43) |  ~ relation_of2_as_subset(empty_set, v42, empty_set) | quasi_total(empty_set, v42, empty_set)) &  ! [v42] :  ! [v43] : (v42 = empty_set |  ~ (relation_rng(v42) = v43) |  ~ relation(v42) |  ? [v44] : ( ~ (v44 = empty_set) & relation_dom(v42) = v44)) &  ! [v42] :  ! [v43] : (v42 = empty_set |  ~ (relation_inverse_image(v43, v42) = empty_set) |  ~ relation(v43) |  ? [v44] : (relation_rng(v43) = v44 &  ~ subset(v42, v44))) &  ! [v42] :  ! [v43] : (v42 = empty_set |  ~ (relation_dom(v42) = v43) |  ~ relation(v42) |  ? [v44] : ( ~ (v44 = empty_set) & relation_rng(v42) = v44)) &  ! [v42] :  ! [v43] : (v42 = empty_set |  ~ subset(v42, v43) |  ~ ordinal(v43) |  ? [v44] : (ordinal(v44) & in(v44, v42) &  ! [v45] : ( ~ ordinal(v45) |  ~ in(v45, v42) | ordinal_subset(v44, v45)))) &  ! [v42] :  ! [v43] : ( ~ (function_inverse(v42) = v43) |  ~ one_to_one(v42) |  ~ relation(v42) |  ~ function(v42) | relation_inverse(v42) = v43) &  ! [v42] :  ! [v43] : ( ~ (function_inverse(v42) = v43) |  ~ one_to_one(v42) |  ~ relation(v42) |  ~ function(v42) | one_to_one(v43)) &  ! [v42] :  ! [v43] : ( ~ (function_inverse(v42) = v43) |  ~ one_to_one(v42) |  ~ relation(v42) |  ~ function(v42) |  ? [v44] :  ? [v45] : (relation_rng(v43) = v45 & relation_rng(v42) = v44 & relation_dom(v43) = v44 & relation_dom(v42) = v45)) &  ! [v42] :  ! [v43] : ( ~ (function_inverse(v42) = v43) |  ~ one_to_one(v42) |  ~ relation(v42) |  ~ function(v42) |  ? [v44] :  ? [v45] : (relation_rng(v42) = v44 & relation_dom(v42) = v45 &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v49 = v48 |  ~ (relation_dom(v43) = v46) |  ~ (apply(v43, v47) = v49) |  ~ (apply(v42, v48) = v47) |  ~ relation(v43) |  ~ function(v43) |  ~ in(v48, v45)) &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v49 = v47 |  ~ (relation_dom(v43) = v46) |  ~ (apply(v43, v47) = v48) |  ~ (apply(v42, v48) = v49) |  ~ relation(v43) |  ~ function(v43) |  ~ in(v47, v44)) &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : ( ~ (relation_dom(v43) = v46) |  ~ (apply(v43, v47) = v49) |  ~ (apply(v42, v48) = v47) |  ~ relation(v43) |  ~ function(v43) |  ~ in(v48, v45) | in(v47, v44)) &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : ( ~ (relation_dom(v43) = v46) |  ~ (apply(v43, v47) = v48) |  ~ (apply(v42, v48) = v49) |  ~ relation(v43) |  ~ function(v43) |  ~ in(v47, v44) | in(v48, v45)) &  ! [v46] : (v46 = v44 |  ~ (relation_dom(v43) = v46) |  ~ relation(v43) |  ~ function(v43)) &  ! [v46] : (v46 = v43 |  ~ (relation_dom(v46) = v44) |  ~ relation(v46) |  ~ function(v46) |  ? [v47] :  ? [v48] :  ? [v49] :  ? [v50] : (apply(v46, v47) = v49 & apply(v42, v48) = v50 & ((v50 = v47 & in(v48, v45) & ( ~ (v49 = v48) |  ~ in(v47, v44))) | (v49 = v48 & in(v47, v44) & ( ~ (v50 = v47) |  ~ in(v48, v45)))))))) &  ! [v42] :  ! [v43] : ( ~ (function_inverse(v42) = v43) |  ~ relation(v42) |  ~ function(v42) | relation(v43)) &  ! [v42] :  ! [v43] : ( ~ (function_inverse(v42) = v43) |  ~ relation(v42) |  ~ function(v42) | function(v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_inverse(v42) = v43) |  ~ one_to_one(v42) |  ~ relation(v42) |  ~ function(v42) | function_inverse(v42) = v43) &  ! [v42] :  ! [v43] : ( ~ (relation_inverse(v42) = v43) |  ~ one_to_one(v42) |  ~ relation(v42) |  ~ function(v42) | relation(v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_inverse(v42) = v43) |  ~ one_to_one(v42) |  ~ relation(v42) |  ~ function(v42) | function(v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_inverse(v42) = v43) |  ~ relation(v42) | relation_inverse(v43) = v42) &  ! [v42] :  ! [v43] : ( ~ (relation_inverse(v42) = v43) |  ~ relation(v42) | relation(v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_inverse(v42) = v43) |  ~ relation(v42) |  ? [v44] :  ? [v45] : (relation_rng(v43) = v45 & relation_rng(v42) = v44 & relation_dom(v43) = v44 & relation_dom(v42) = v45)) &  ! [v42] :  ! [v43] : ( ~ (relation_inverse(v42) = v43) |  ~ empty(v42) | relation(v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_inverse(v42) = v43) |  ~ empty(v42) | empty(v43)) &  ! [v42] :  ! [v43] : ( ~ (set_difference(v42, v43) = v42) | disjoint(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ (set_difference(v42, v43) = empty_set) | subset(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ (union(v42) = v43) |  ~ ordinal(v42) | epsilon_connected(v43)) &  ! [v42] :  ! [v43] : ( ~ (union(v42) = v43) |  ~ ordinal(v42) | epsilon_transitive(v43)) &  ! [v42] :  ! [v43] : ( ~ (union(v42) = v43) |  ~ ordinal(v42) | ordinal(v43)) &  ! [v42] :  ! [v43] : ( ~ (cast_to_subset(v42) = v43) |  ? [v44] : (powerset(v42) = v44 & element(v43, v44))) &  ! [v42] :  ! [v43] : ( ~ (cast_as_carrier_subset(v42) = v43) |  ~ one_sorted_str(v42) | the_carrier(v42) = v43) &  ! [v42] :  ! [v43] : ( ~ (cast_as_carrier_subset(v42) = v43) |  ~ one_sorted_str(v42) |  ? [v44] :  ? [v45] : (the_carrier(v42) = v44 & powerset(v44) = v45 & element(v43, v45))) &  ! [v42] :  ! [v43] : ( ~ (cast_as_carrier_subset(v42) = v43) |  ~ one_sorted_str(v42) |  ? [v44] :  ? [v45] : (the_carrier(v42) = v44 & powerset(v44) = v45 &  ! [v46] :  ! [v47] : (v47 = v46 |  ~ (subset_intersection2(v44, v46, v43) = v47) |  ~ element(v46, v45)))) &  ! [v42] :  ! [v43] : ( ~ (the_L_meet(v42) = v43) |  ~ meet_semilatt_str(v42) | empty_carrier(v42) |  ? [v44] : (the_carrier(v42) = v44 &  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (meet(v42, v45, v46) = v47) |  ~ element(v46, v44) |  ~ element(v45, v44) | apply_binary_as_element(v44, v44, v44, v43, v45, v46) = v47) &  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (apply_binary_as_element(v44, v44, v44, v43, v45, v46) = v47) |  ~ element(v46, v44) |  ~ element(v45, v44) | meet(v42, v45, v46) = v47))) &  ! [v42] :  ! [v43] : ( ~ (the_L_meet(v42) = v43) |  ~ meet_semilatt_str(v42) | function(v43)) &  ! [v42] :  ! [v43] : ( ~ (the_L_meet(v42) = v43) |  ~ meet_semilatt_str(v42) |  ? [v44] :  ? [v45] : (the_carrier(v42) = v44 & cartesian_product2(v44, v44) = v45 & quasi_total(v43, v45, v44) & relation_of2_as_subset(v43, v45, v44))) &  ! [v42] :  ! [v43] : ( ~ (inclusion_relation(v42) = v43) |  ~ ordinal(v42) | well_ordering(v43)) &  ! [v42] :  ! [v43] : ( ~ (inclusion_relation(v42) = v43) |  ~ ordinal(v42) | well_founded_relation(v43)) &  ! [v42] :  ! [v43] : ( ~ (inclusion_relation(v42) = v43) |  ~ ordinal(v42) | connected(v43)) &  ! [v42] :  ! [v43] : ( ~ (inclusion_relation(v42) = v43) | reflexive(v43)) &  ! [v42] :  ! [v43] : ( ~ (inclusion_relation(v42) = v43) | transitive(v43)) &  ! [v42] :  ! [v43] : ( ~ (inclusion_relation(v42) = v43) | antisymmetric(v43)) &  ! [v42] :  ! [v43] : ( ~ (inclusion_relation(v42) = v43) | relation(v43)) &  ! [v42] :  ! [v43] : ( ~ (singleton(v43) = v42) | subset(v42, v42)) &  ! [v42] :  ! [v43] : ( ~ (singleton(v42) = v43) |  ~ empty(v43)) &  ! [v42] :  ! [v43] : ( ~ (singleton(v42) = v43) | unordered_pair(v42, v42) = v43) &  ! [v42] :  ! [v43] : ( ~ (singleton(v42) = v43) | subset(empty_set, v43)) &  ! [v42] :  ! [v43] : ( ~ (singleton(v42) = v43) | finite(v43)) &  ! [v42] :  ! [v43] : ( ~ (singleton(v42) = v43) | in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ (succ(v43) = v42) |  ~ being_limit_ordinal(v42) |  ~ ordinal(v43) |  ~ ordinal(v42)) &  ! [v42] :  ! [v43] : ( ~ (succ(v42) = v43) |  ~ ordinal(v42) |  ~ empty(v43) |  ~ natural(v42)) &  ! [v42] :  ! [v43] : ( ~ (succ(v42) = v43) |  ~ ordinal(v42) |  ~ empty(v43)) &  ! [v42] :  ! [v43] : ( ~ (succ(v42) = v43) |  ~ ordinal(v42) |  ~ natural(v42) | epsilon_connected(v43)) &  ! [v42] :  ! [v43] : ( ~ (succ(v42) = v43) |  ~ ordinal(v42) |  ~ natural(v42) | epsilon_transitive(v43)) &  ! [v42] :  ! [v43] : ( ~ (succ(v42) = v43) |  ~ ordinal(v42) |  ~ natural(v42) | ordinal(v43)) &  ! [v42] :  ! [v43] : ( ~ (succ(v42) = v43) |  ~ ordinal(v42) |  ~ natural(v42) | natural(v43)) &  ! [v42] :  ! [v43] : ( ~ (succ(v42) = v43) |  ~ ordinal(v42) | epsilon_connected(v43)) &  ! [v42] :  ! [v43] : ( ~ (succ(v42) = v43) |  ~ ordinal(v42) | epsilon_transitive(v43)) &  ! [v42] :  ! [v43] : ( ~ (succ(v42) = v43) |  ~ ordinal(v42) | ordinal(v43)) &  ! [v42] :  ! [v43] : ( ~ (succ(v42) = v43) |  ~ ordinal(v42) |  ? [v44] : ( ! [v45] :  ! [v46] : ( ~ (powerset(v45) = v46) |  ~ ordinal(v45) |  ~ in(v45, v43) | in(v45, v44) | in(v45, omega)) &  ! [v45] :  ! [v46] : ( ~ (powerset(v45) = v46) |  ~ ordinal(v45) |  ~ in(v45, v43) | in(v45, v44) |  ? [v47] :  ? [v48] : ( ~ (v48 = empty_set) & powerset(v46) = v47 & element(v48, v47) &  ! [v49] : ( ~ in(v49, v48) |  ? [v50] : ( ~ (v50 = v49) & subset(v49, v50) & in(v50, v48))))) &  ! [v45] : ( ~ in(v45, v44) | in(v45, v43)) &  ! [v45] : ( ~ in(v45, v44) |  ? [v46] :  ? [v47] : (powerset(v46) = v47 & powerset(v45) = v46 & ordinal(v45) & ( ~ in(v45, omega) |  ! [v48] : (v48 = empty_set |  ~ element(v48, v47) |  ? [v49] : (in(v49, v48) &  ! [v50] : (v50 = v49 |  ~ subset(v49, v50) |  ~ in(v50, v48))))))))) &  ! [v42] :  ! [v43] : ( ~ (succ(v42) = v43) |  ~ empty(v43)) &  ! [v42] :  ! [v43] : ( ~ (succ(v42) = v43) | in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ (succ(v42) = v43) |  ? [v44] : (singleton(v42) = v44 & set_union2(v42, v44) = v43)) &  ! [v42] :  ! [v43] : ( ~ (the_L_join(v42) = v43) |  ~ join_semilatt_str(v42) | empty_carrier(v42) |  ? [v44] : (the_carrier(v42) = v44 &  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (join(v42, v45, v46) = v47) |  ~ element(v46, v44) |  ~ element(v45, v44) | apply_binary_as_element(v44, v44, v44, v43, v45, v46) = v47) &  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (apply_binary_as_element(v44, v44, v44, v43, v45, v46) = v47) |  ~ element(v46, v44) |  ~ element(v45, v44) | join(v42, v45, v46) = v47))) &  ! [v42] :  ! [v43] : ( ~ (the_L_join(v42) = v43) |  ~ join_semilatt_str(v42) | function(v43)) &  ! [v42] :  ! [v43] : ( ~ (the_L_join(v42) = v43) |  ~ join_semilatt_str(v42) |  ? [v44] :  ? [v45] : (the_carrier(v42) = v44 & cartesian_product2(v44, v44) = v45 & quasi_total(v43, v45, v44) & relation_of2_as_subset(v43, v45, v44))) &  ! [v42] :  ! [v43] : ( ~ (relation_dom_as_subset(empty_set, v42, v43) = empty_set) |  ~ relation_of2_as_subset(v43, empty_set, v42) | quasi_total(v43, empty_set, v42)) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v43) = v42) |  ~ relation(v43) |  ~ function(v43) | finite(v42) |  ? [v44] : (relation_dom(v43) = v44 &  ~ in(v44, omega))) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v42) = v43) |  ~ one_to_one(v42) |  ~ relation(v42) |  ~ function(v42) |  ? [v44] :  ? [v45] : (function_inverse(v42) = v44 & relation_rng(v44) = v45 & relation_dom(v44) = v43 & relation_dom(v42) = v45)) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v42) = v43) |  ~ one_to_one(v42) |  ~ relation(v42) |  ~ function(v42) |  ? [v44] :  ? [v45] : (function_inverse(v42) = v44 & relation_dom(v42) = v45 &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v49 = v48 |  ~ (relation_dom(v44) = v46) |  ~ (apply(v44, v47) = v49) |  ~ (apply(v42, v48) = v47) |  ~ relation(v44) |  ~ function(v44) |  ~ in(v48, v45)) &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v49 = v47 |  ~ (relation_dom(v44) = v46) |  ~ (apply(v44, v47) = v48) |  ~ (apply(v42, v48) = v49) |  ~ relation(v44) |  ~ function(v44) |  ~ in(v47, v43)) &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : ( ~ (relation_dom(v44) = v46) |  ~ (apply(v44, v47) = v49) |  ~ (apply(v42, v48) = v47) |  ~ relation(v44) |  ~ function(v44) |  ~ in(v48, v45) | in(v47, v43)) &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : ( ~ (relation_dom(v44) = v46) |  ~ (apply(v44, v47) = v48) |  ~ (apply(v42, v48) = v49) |  ~ relation(v44) |  ~ function(v44) |  ~ in(v47, v43) | in(v48, v45)) &  ! [v46] : (v46 = v44 |  ~ (relation_dom(v46) = v43) |  ~ relation(v46) |  ~ function(v46) |  ? [v47] :  ? [v48] :  ? [v49] :  ? [v50] : (apply(v46, v47) = v49 & apply(v42, v48) = v50 & ((v50 = v47 & in(v48, v45) & ( ~ (v49 = v48) |  ~ in(v47, v43))) | (v49 = v48 & in(v47, v43) & ( ~ (v50 = v47) |  ~ in(v48, v45)))))) &  ! [v46] : (v46 = v43 |  ~ (relation_dom(v44) = v46) |  ~ relation(v44) |  ~ function(v44)))) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v42) = v43) |  ~ relation(v42) |  ~ function(v42) | finite(v43) |  ? [v44] : (relation_dom(v42) = v44 &  ~ finite(v44))) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v42) = v43) |  ~ relation(v42) |  ~ function(v42) |  ? [v44] : (relation_dom(v42) = v44 &  ! [v45] :  ! [v46] : ( ~ (apply(v42, v46) = v45) |  ~ in(v46, v44) | in(v45, v43)) &  ! [v45] : ( ~ in(v45, v43) |  ? [v46] : (apply(v42, v46) = v45 & in(v46, v44))) &  ? [v45] : (v45 = v43 |  ? [v46] :  ? [v47] :  ? [v48] : (( ~ in(v46, v45) |  ! [v49] : ( ~ (apply(v42, v49) = v46) |  ~ in(v49, v44))) & (in(v46, v45) | (v48 = v46 & apply(v42, v47) = v46 & in(v47, v44))))))) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v42) = v43) |  ~ relation(v42) |  ~ empty(v43) | empty(v42)) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v42) = v43) |  ~ relation(v42) |  ? [v44] :  ? [v45] : (relation_inverse(v42) = v44 & relation_rng(v44) = v45 & relation_dom(v44) = v43 & relation_dom(v42) = v45)) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v42) = v43) |  ~ relation(v42) |  ? [v44] : (relation_dom(v42) = v44 & relation_image(v42, v44) = v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v42) = v43) |  ~ relation(v42) |  ? [v44] : (relation_dom(v42) = v44 &  ! [v45] :  ! [v46] : ( ~ (relation_composition(v45, v42) = v46) |  ~ relation(v45) |  ? [v47] :  ? [v48] : (relation_rng(v46) = v48 & relation_rng(v45) = v47 & (v48 = v43 |  ~ subset(v44, v47)))) &  ! [v45] :  ! [v46] : ( ~ (relation_rng(v45) = v46) |  ~ subset(v44, v46) |  ~ relation(v45) |  ? [v47] : (relation_composition(v45, v42) = v47 & relation_rng(v47) = v43)))) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v42) = v43) |  ~ relation(v42) |  ? [v44] : (relation_dom(v42) = v44 &  ! [v45] :  ! [v46] : ( ~ (relation_composition(v42, v45) = v46) |  ~ relation(v45) |  ? [v47] :  ? [v48] : (relation_dom(v46) = v48 & relation_dom(v45) = v47 & (v48 = v44 |  ~ subset(v43, v47)))) &  ! [v45] :  ! [v46] : ( ~ (relation_dom(v45) = v46) |  ~ subset(v43, v46) |  ~ relation(v45) |  ? [v47] : (relation_composition(v42, v45) = v47 & relation_dom(v47) = v44)))) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v42) = v43) |  ~ relation(v42) |  ? [v44] : (relation_dom(v42) = v44 &  ! [v45] :  ! [v46] : ( ~ (relation_rng(v45) = v46) |  ~ subset(v42, v45) |  ~ relation(v45) | subset(v43, v46)) &  ! [v45] :  ! [v46] : ( ~ (relation_rng(v45) = v46) |  ~ subset(v42, v45) |  ~ relation(v45) |  ? [v47] : (relation_dom(v45) = v47 & subset(v44, v47))) &  ! [v45] :  ! [v46] : ( ~ (relation_dom(v45) = v46) |  ~ subset(v42, v45) |  ~ relation(v45) | subset(v44, v46)) &  ! [v45] :  ! [v46] : ( ~ (relation_dom(v45) = v46) |  ~ subset(v42, v45) |  ~ relation(v45) |  ? [v47] : (relation_rng(v45) = v47 & subset(v43, v47))))) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v42) = v43) |  ~ relation(v42) |  ? [v44] : (relation_dom(v42) = v44 & ( ~ (v44 = empty_set) | v43 = empty_set) & ( ~ (v43 = empty_set) | v44 = empty_set))) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v42) = v43) |  ~ empty(v42) | relation(v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_rng(v42) = v43) |  ~ empty(v42) | empty(v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ well_orders(v42, v43) |  ~ relation(v42) | well_ordering(v42)) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ reflexive(v42) |  ~ relation(v42) | is_reflexive_in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ well_ordering(v42) |  ~ relation(v42) | well_orders(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ is_well_founded_in(v42, v43) |  ~ relation(v42) | well_founded_relation(v42)) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ well_founded_relation(v42) |  ~ relation(v42) | is_well_founded_in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ is_reflexive_in(v42, v43) |  ~ relation(v42) | reflexive(v42)) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ is_transitive_in(v42, v43) |  ~ relation(v42) | transitive(v42)) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ transitive(v42) |  ~ relation(v42) | is_transitive_in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ is_connected_in(v42, v43) |  ~ relation(v42) | connected(v42)) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ connected(v42) |  ~ relation(v42) | is_connected_in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ is_antisymmetric_in(v42, v43) |  ~ relation(v42) | antisymmetric(v42)) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ antisymmetric(v42) |  ~ relation(v42) | is_antisymmetric_in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ relation(v42) | reflexive(v42) |  ? [v44] :  ? [v45] : (ordered_pair(v44, v44) = v45 & in(v44, v43) &  ~ in(v45, v42))) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ relation(v42) | well_founded_relation(v42) |  ? [v44] : ( ~ (v44 = empty_set) & subset(v44, v43) &  ! [v45] :  ! [v46] : ( ~ (fiber(v42, v45) = v46) |  ~ disjoint(v46, v44) |  ~ in(v45, v44)))) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ relation(v42) | connected(v42) |  ? [v44] :  ? [v45] :  ? [v46] :  ? [v47] : ( ~ (v45 = v44) & ordered_pair(v45, v44) = v47 & ordered_pair(v44, v45) = v46 & in(v45, v43) & in(v44, v43) &  ~ in(v47, v42) &  ~ in(v46, v42))) &  ! [v42] :  ! [v43] : ( ~ (relation_field(v42) = v43) |  ~ relation(v42) |  ? [v44] :  ? [v45] : (relation_rng(v42) = v45 & relation_dom(v42) = v44 & set_union2(v44, v45) = v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_dom(v42) = v43) |  ~ one_to_one(v42) |  ~ relation(v42) |  ~ function(v42) |  ? [v44] :  ? [v45] : (function_inverse(v42) = v45 & relation_rng(v45) = v43 & relation_rng(v42) = v44 & relation_dom(v45) = v44)) &  ! [v42] :  ! [v43] : ( ~ (relation_dom(v42) = v43) |  ~ one_to_one(v42) |  ~ relation(v42) |  ~ function(v42) |  ? [v44] :  ? [v45] : (function_inverse(v42) = v44 & relation_rng(v42) = v45 &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v49 = v48 |  ~ (relation_dom(v44) = v46) |  ~ (apply(v44, v47) = v49) |  ~ (apply(v42, v48) = v47) |  ~ relation(v44) |  ~ function(v44) |  ~ in(v48, v43)) &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v49 = v47 |  ~ (relation_dom(v44) = v46) |  ~ (apply(v44, v47) = v48) |  ~ (apply(v42, v48) = v49) |  ~ relation(v44) |  ~ function(v44) |  ~ in(v47, v45)) &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : ( ~ (relation_dom(v44) = v46) |  ~ (apply(v44, v47) = v49) |  ~ (apply(v42, v48) = v47) |  ~ relation(v44) |  ~ function(v44) |  ~ in(v48, v43) | in(v47, v45)) &  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : ( ~ (relation_dom(v44) = v46) |  ~ (apply(v44, v47) = v48) |  ~ (apply(v42, v48) = v49) |  ~ relation(v44) |  ~ function(v44) |  ~ in(v47, v45) | in(v48, v43)) &  ! [v46] : (v46 = v45 |  ~ (relation_dom(v44) = v46) |  ~ relation(v44) |  ~ function(v44)) &  ! [v46] : (v46 = v44 |  ~ (relation_dom(v46) = v45) |  ~ relation(v46) |  ~ function(v46) |  ? [v47] :  ? [v48] :  ? [v49] :  ? [v50] : (apply(v46, v47) = v49 & apply(v42, v48) = v50 & ((v50 = v47 & in(v48, v43) & ( ~ (v49 = v48) |  ~ in(v47, v45))) | (v49 = v48 & in(v47, v45) & ( ~ (v50 = v47) |  ~ in(v48, v43)))))))) &  ! [v42] :  ! [v43] : ( ~ (relation_dom(v42) = v43) |  ~ relation(v42) |  ~ function(v42) |  ~ finite(v43) |  ? [v44] : (relation_rng(v42) = v44 & finite(v44))) &  ! [v42] :  ! [v43] : ( ~ (relation_dom(v42) = v43) |  ~ relation(v42) |  ~ function(v42) | one_to_one(v42) |  ? [v44] :  ? [v45] :  ? [v46] : ( ~ (v45 = v44) & apply(v42, v45) = v46 & apply(v42, v44) = v46 & in(v45, v43) & in(v44, v43))) &  ! [v42] :  ! [v43] : ( ~ (relation_dom(v42) = v43) |  ~ relation(v42) |  ~ function(v42) |  ? [v44] : (relation_rng(v42) = v44 &  ! [v45] :  ! [v46] : ( ~ (apply(v42, v46) = v45) |  ~ in(v46, v43) | in(v45, v44)) &  ! [v45] : ( ~ in(v45, v44) |  ? [v46] : (apply(v42, v46) = v45 & in(v46, v43))) &  ? [v45] : (v45 = v44 |  ? [v46] :  ? [v47] :  ? [v48] : (( ~ in(v46, v45) |  ! [v49] : ( ~ (apply(v42, v49) = v46) |  ~ in(v49, v43))) & (in(v46, v45) | (v48 = v46 & apply(v42, v47) = v46 & in(v47, v43))))))) &  ! [v42] :  ! [v43] : ( ~ (relation_dom(v42) = v43) |  ~ relation(v42) |  ~ empty(v43) | empty(v42)) &  ! [v42] :  ! [v43] : ( ~ (relation_dom(v42) = v43) |  ~ relation(v42) |  ? [v44] :  ? [v45] : (relation_inverse(v42) = v45 & relation_rng(v45) = v43 & relation_rng(v42) = v44 & relation_dom(v45) = v44)) &  ! [v42] :  ! [v43] : ( ~ (relation_dom(v42) = v43) |  ~ relation(v42) |  ? [v44] : (relation_rng(v42) = v44 &  ! [v45] :  ! [v46] : ( ~ (relation_composition(v45, v42) = v46) |  ~ relation(v45) |  ? [v47] :  ? [v48] : (relation_rng(v46) = v48 & relation_rng(v45) = v47 & (v48 = v44 |  ~ subset(v43, v47)))) &  ! [v45] :  ! [v46] : ( ~ (relation_rng(v45) = v46) |  ~ subset(v43, v46) |  ~ relation(v45) |  ? [v47] : (relation_composition(v45, v42) = v47 & relation_rng(v47) = v44)))) &  ! [v42] :  ! [v43] : ( ~ (relation_dom(v42) = v43) |  ~ relation(v42) |  ? [v44] : (relation_rng(v42) = v44 &  ! [v45] :  ! [v46] : ( ~ (relation_composition(v42, v45) = v46) |  ~ relation(v45) |  ? [v47] :  ? [v48] : (relation_dom(v46) = v48 & relation_dom(v45) = v47 & (v48 = v43 |  ~ subset(v44, v47)))) &  ! [v45] :  ! [v46] : ( ~ (relation_dom(v45) = v46) |  ~ subset(v44, v46) |  ~ relation(v45) |  ? [v47] : (relation_composition(v42, v45) = v47 & relation_dom(v47) = v43)))) &  ! [v42] :  ! [v43] : ( ~ (relation_dom(v42) = v43) |  ~ relation(v42) |  ? [v44] : (relation_rng(v42) = v44 &  ! [v45] :  ! [v46] : ( ~ (relation_rng(v45) = v46) |  ~ subset(v42, v45) |  ~ relation(v45) | subset(v44, v46)) &  ! [v45] :  ! [v46] : ( ~ (relation_rng(v45) = v46) |  ~ subset(v42, v45) |  ~ relation(v45) |  ? [v47] : (relation_dom(v45) = v47 & subset(v43, v47))) &  ! [v45] :  ! [v46] : ( ~ (relation_dom(v45) = v46) |  ~ subset(v42, v45) |  ~ relation(v45) | subset(v43, v46)) &  ! [v45] :  ! [v46] : ( ~ (relation_dom(v45) = v46) |  ~ subset(v42, v45) |  ~ relation(v45) |  ? [v47] : (relation_rng(v45) = v47 & subset(v44, v47))))) &  ! [v42] :  ! [v43] : ( ~ (relation_dom(v42) = v43) |  ~ relation(v42) |  ? [v44] : (relation_rng(v42) = v44 & ( ~ (v44 = empty_set) | v43 = empty_set) & ( ~ (v43 = empty_set) | v44 = empty_set))) &  ! [v42] :  ! [v43] : ( ~ (relation_dom(v42) = v43) |  ~ empty(v42) | relation(v43)) &  ! [v42] :  ! [v43] : ( ~ (relation_dom(v42) = v43) |  ~ empty(v42) | empty(v43)) &  ! [v42] :  ! [v43] : ( ~ (identity_relation(v42) = v43) | relation_rng(v43) = v42) &  ! [v42] :  ! [v43] : ( ~ (identity_relation(v42) = v43) | relation_dom(v43) = v42) &  ! [v42] :  ! [v43] : ( ~ (identity_relation(v42) = v43) | relation(v43)) &  ! [v42] :  ! [v43] : ( ~ (identity_relation(v42) = v43) | function(v43)) &  ! [v42] :  ! [v43] : ( ~ (set_intersection2(v42, v43) = empty_set) | disjoint(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ (the_carrier(v42) = v43) |  ~ latt_str(v42) | meet_absorbing(v42) | empty_carrier(v42) |  ? [v44] :  ? [v45] :  ? [v46] :  ? [v47] : ( ~ (v47 = v45) & meet(v42, v44, v45) = v46 & join(v42, v46, v45) = v47 & element(v45, v43) & element(v44, v43))) &  ! [v42] :  ! [v43] : ( ~ (the_carrier(v42) = v43) |  ~ one_sorted_str(v42) |  ~ empty(v43) | empty_carrier(v42)) &  ! [v42] :  ! [v43] : ( ~ (the_carrier(v42) = v43) |  ~ one_sorted_str(v42) | cast_as_carrier_subset(v42) = v43) &  ! [v42] :  ! [v43] : ( ~ (the_carrier(v42) = v43) |  ~ one_sorted_str(v42) | empty_carrier(v42) |  ? [v44] :  ? [v45] : (powerset(v43) = v44 & element(v45, v44) &  ~ empty(v45))) &  ! [v42] :  ! [v43] : ( ~ (the_carrier(v42) = v43) |  ~ one_sorted_str(v42) |  ? [v44] :  ? [v45] : (cast_as_carrier_subset(v42) = v45 & powerset(v43) = v44 &  ! [v46] :  ! [v47] : (v47 = v46 |  ~ (subset_intersection2(v43, v46, v45) = v47) |  ~ element(v46, v44)))) &  ! [v42] :  ! [v43] : ( ~ (the_carrier(v42) = v43) |  ~ one_sorted_str(v42) |  ? [v44] :  ? [v45] : (cast_as_carrier_subset(v42) = v44 & powerset(v43) = v45 & element(v44, v45))) &  ! [v42] :  ! [v43] : ( ~ (the_carrier(v42) = v43) |  ~ meet_semilatt_str(v42) | empty_carrier(v42) |  ? [v44] : (the_L_meet(v42) = v44 &  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (meet(v42, v45, v46) = v47) |  ~ element(v46, v43) |  ~ element(v45, v43) | apply_binary_as_element(v43, v43, v43, v44, v45, v46) = v47) &  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (apply_binary_as_element(v43, v43, v43, v44, v45, v46) = v47) |  ~ element(v46, v43) |  ~ element(v45, v43) | meet(v42, v45, v46) = v47))) &  ! [v42] :  ! [v43] : ( ~ (the_carrier(v42) = v43) |  ~ meet_semilatt_str(v42) |  ? [v44] :  ? [v45] : (the_L_meet(v42) = v44 & cartesian_product2(v43, v43) = v45 & quasi_total(v44, v45, v43) & relation_of2_as_subset(v44, v45, v43) & function(v44))) &  ! [v42] :  ! [v43] : ( ~ (the_carrier(v42) = v43) |  ~ join_semilatt_str(v42) | empty_carrier(v42) |  ? [v44] : (the_L_join(v42) = v44 &  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (join(v42, v45, v46) = v47) |  ~ element(v46, v43) |  ~ element(v45, v43) | apply_binary_as_element(v43, v43, v43, v44, v45, v46) = v47) &  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (apply_binary_as_element(v43, v43, v43, v44, v45, v46) = v47) |  ~ element(v46, v43) |  ~ element(v45, v43) | join(v42, v45, v46) = v47))) &  ! [v42] :  ! [v43] : ( ~ (the_carrier(v42) = v43) |  ~ join_semilatt_str(v42) |  ? [v44] :  ? [v45] : (the_L_join(v42) = v44 & cartesian_product2(v43, v43) = v45 & quasi_total(v44, v45, v43) & relation_of2_as_subset(v44, v45, v43) & function(v44))) &  ! [v42] :  ! [v43] : ( ~ (unordered_pair(v42, v42) = v43) | singleton(v42) = v43) &  ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) |  ~ finite(v42) |  ? [v44] : (powerset(v43) = v44 &  ! [v45] : (v45 = empty_set |  ~ element(v45, v44) |  ? [v46] : (in(v46, v45) &  ! [v47] : (v47 = v46 |  ~ subset(v46, v47) |  ~ in(v47, v45)))))) &  ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) |  ~ empty(v43)) &  ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) | union(v43) = v42) &  ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) | diff_closed(v43)) &  ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) | cup_closed(v43)) &  ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) | preboolean(v43)) &  ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) | empty(v42) |  ? [v44] : (finite(v44) & element(v44, v43) &  ~ empty(v44))) &  ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) | empty(v42) |  ? [v44] : (element(v44, v43) &  ~ empty(v44))) &  ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) |  ? [v44] : (cast_to_subset(v42) = v44 & element(v44, v43))) &  ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) |  ? [v44] : (one_to_one(v44) & relation(v44) & function(v44) & finite(v44) & epsilon_connected(v44) & epsilon_transitive(v44) & ordinal(v44) & empty(v44) & natural(v44) & element(v44, v43))) &  ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) |  ? [v44] : (empty(v44) & element(v44, v43))) &  ! [v42] :  ! [v43] : ( ~ are_equipotent(v42, v43) | equipotent(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ well_orders(v42, v43) |  ~ relation(v42) | is_well_founded_in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ well_orders(v42, v43) |  ~ relation(v42) | is_reflexive_in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ well_orders(v42, v43) |  ~ relation(v42) | is_transitive_in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ well_orders(v42, v43) |  ~ relation(v42) | is_connected_in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ well_orders(v42, v43) |  ~ relation(v42) | is_antisymmetric_in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ equipotent(v42, v43) | are_equipotent(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ equipotent(v42, v43) | equipotent(v43, v42)) &  ! [v42] :  ! [v43] : ( ~ equipotent(v42, v43) |  ? [v44] : (relation_rng(v44) = v43 & relation_dom(v44) = v42 & one_to_one(v44) & relation(v44) & function(v44))) &  ! [v42] :  ! [v43] : ( ~ is_well_founded_in(v42, v43) |  ~ is_reflexive_in(v42, v43) |  ~ is_transitive_in(v42, v43) |  ~ is_connected_in(v42, v43) |  ~ is_antisymmetric_in(v42, v43) |  ~ relation(v42) | well_orders(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ disjoint(v42, v43) | disjoint(v43, v42)) &  ! [v42] :  ! [v43] : ( ~ subset(v42, v43) |  ~ finite(v43) | finite(v42)) &  ! [v42] :  ! [v43] : ( ~ subset(v42, v43) |  ~ ordinal(v43) |  ~ ordinal(v42) | ordinal_subset(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ subset(v42, v43) |  ~ proper_subset(v43, v42)) &  ! [v42] :  ! [v43] : ( ~ ordinal_subset(v42, v43) |  ~ ordinal(v43) |  ~ ordinal(v42) | subset(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ relation(v43) |  ~ relation(v42) | subset(v42, v43) |  ? [v44] :  ? [v45] :  ? [v46] : (ordered_pair(v44, v45) = v46 & in(v46, v42) &  ~ in(v46, v43))) &  ! [v42] :  ! [v43] : ( ~ relation(v42) |  ~ in(v43, v42) |  ? [v44] :  ? [v45] : ordered_pair(v44, v45) = v43) &  ! [v42] :  ! [v43] : ( ~ epsilon_transitive(v42) |  ~ ordinal(v43) |  ~ proper_subset(v42, v43) | in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ epsilon_transitive(v42) |  ~ in(v43, v42) | subset(v43, v42)) &  ! [v42] :  ! [v43] : ( ~ ordinal(v43) |  ~ ordinal(v42) | ordinal_subset(v43, v42) | ordinal_subset(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ ordinal(v43) |  ~ ordinal(v42) | ordinal_subset(v42, v42)) &  ! [v42] :  ! [v43] : ( ~ ordinal(v43) |  ~ in(v43, v42) |  ? [v44] : (ordinal(v44) & in(v44, v42) &  ! [v45] : ( ~ ordinal(v45) |  ~ in(v45, v42) | ordinal_subset(v44, v45)))) &  ! [v42] :  ! [v43] : ( ~ ordinal(v43) |  ~ in(v42, v43) | ordinal(v42)) &  ! [v42] :  ! [v43] : ( ~ ordinal(v42) |  ~ element(v43, v42) | epsilon_connected(v43)) &  ! [v42] :  ! [v43] : ( ~ ordinal(v42) |  ~ element(v43, v42) | epsilon_transitive(v43)) &  ! [v42] :  ! [v43] : ( ~ ordinal(v42) |  ~ element(v43, v42) | ordinal(v43)) &  ! [v42] :  ! [v43] : ( ~ empty(v43) |  ~ empty(v42) | element(v43, v42)) &  ! [v42] :  ! [v43] : ( ~ empty(v43) |  ~ in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ empty(v42) |  ~ element(v43, v42) | empty(v43)) &  ! [v42] :  ! [v43] : ( ~ v5_membered(v42) |  ~ element(v43, v42) | natural(v43)) &  ! [v42] :  ! [v43] : ( ~ v5_membered(v42) |  ~ element(v43, v42) | v1_int_1(v43)) &  ! [v42] :  ! [v43] : ( ~ v5_membered(v42) |  ~ element(v43, v42) | v1_rat_1(v43)) &  ! [v42] :  ! [v43] : ( ~ v5_membered(v42) |  ~ element(v43, v42) | v1_xreal_0(v43)) &  ! [v42] :  ! [v43] : ( ~ v5_membered(v42) |  ~ element(v43, v42) | v1_xcmplx_0(v43)) &  ! [v42] :  ! [v43] : ( ~ v4_membered(v42) |  ~ element(v43, v42) | v1_int_1(v43)) &  ! [v42] :  ! [v43] : ( ~ v4_membered(v42) |  ~ element(v43, v42) | v1_rat_1(v43)) &  ! [v42] :  ! [v43] : ( ~ v4_membered(v42) |  ~ element(v43, v42) | v1_xreal_0(v43)) &  ! [v42] :  ! [v43] : ( ~ v4_membered(v42) |  ~ element(v43, v42) | v1_xcmplx_0(v43)) &  ! [v42] :  ! [v43] : ( ~ v3_membered(v42) |  ~ element(v43, v42) | v1_rat_1(v43)) &  ! [v42] :  ! [v43] : ( ~ v3_membered(v42) |  ~ element(v43, v42) | v1_xreal_0(v43)) &  ! [v42] :  ! [v43] : ( ~ v3_membered(v42) |  ~ element(v43, v42) | v1_xcmplx_0(v43)) &  ! [v42] :  ! [v43] : ( ~ v2_membered(v42) |  ~ element(v43, v42) | v1_xreal_0(v43)) &  ! [v42] :  ! [v43] : ( ~ v2_membered(v42) |  ~ element(v43, v42) | v1_xcmplx_0(v43)) &  ! [v42] :  ! [v43] : ( ~ element(v43, v42) |  ~ v1_membered(v42) | v1_xcmplx_0(v43)) &  ! [v42] :  ! [v43] : ( ~ element(v43, v42) | empty(v42) | in(v43, v42)) &  ! [v42] :  ! [v43] : ( ~ element(v42, v43) | empty(v43) | in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ proper_subset(v43, v42) |  ~ proper_subset(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ proper_subset(v42, v43) | subset(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ in(v43, v42) |  ~ in(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ in(v43, v42) | empty(v42) | element(v43, v42)) &  ! [v42] :  ! [v43] : ( ~ in(v42, v43) | element(v42, v43)) &  ! [v42] :  ! [v43] : ( ~ in(v42, v43) |  ? [v44] : (in(v44, v43) &  ! [v45] : ( ~ in(v45, v44) |  ~ in(v45, v43)))) &  ? [v42] :  ! [v43] : ( ~ relation(v43) | is_well_founded_in(v43, v42) |  ? [v44] : ( ~ (v44 = empty_set) & subset(v44, v42) &  ! [v45] :  ! [v46] : ( ~ (fiber(v43, v45) = v46) |  ~ disjoint(v46, v44) |  ~ in(v45, v44)))) &  ? [v42] :  ! [v43] : ( ~ relation(v43) | is_reflexive_in(v43, v42) |  ? [v44] :  ? [v45] : (ordered_pair(v44, v44) = v45 & in(v44, v42) &  ~ in(v45, v43))) &  ? [v42] :  ! [v43] : ( ~ relation(v43) | is_transitive_in(v43, v42) |  ? [v44] :  ? [v45] :  ? [v46] :  ? [v47] :  ? [v48] :  ? [v49] : (ordered_pair(v45, v46) = v48 & ordered_pair(v44, v46) = v49 & ordered_pair(v44, v45) = v47 & in(v48, v43) & in(v47, v43) & in(v46, v42) & in(v45, v42) & in(v44, v42) &  ~ in(v49, v43))) &  ? [v42] :  ! [v43] : ( ~ relation(v43) | is_connected_in(v43, v42) |  ? [v44] :  ? [v45] :  ? [v46] :  ? [v47] : ( ~ (v45 = v44) & ordered_pair(v45, v44) = v47 & ordered_pair(v44, v45) = v46 & in(v45, v42) & in(v44, v42) &  ~ in(v47, v43) &  ~ in(v46, v43))) &  ? [v42] :  ! [v43] : ( ~ relation(v43) | is_antisymmetric_in(v43, v42) |  ? [v44] :  ? [v45] :  ? [v46] :  ? [v47] : ( ~ (v45 = v44) & ordered_pair(v45, v44) = v47 & ordered_pair(v44, v45) = v46 & in(v47, v43) & in(v46, v43) & in(v45, v42) & in(v44, v42))) &  ? [v42] :  ! [v43] : ( ~ relation(v43) | empty(v42) |  ? [v44] :  ? [v45] :  ? [v46] :  ? [v47] :  ? [v48] : ((v48 = v44 & v47 = v44 &  ~ (v46 = v45) & in(v46, v44) & in(v45, v44) & in(v44, v42) &  ! [v49] :  ! [v50] : ( ~ (ordered_pair(v46, v49) = v50) |  ~ in(v49, v44) | in(v50, v43)) &  ! [v49] :  ! [v50] : ( ~ (ordered_pair(v45, v49) = v50) |  ~ in(v49, v44) | in(v50, v43))) | (v45 = v42 & relation_dom(v44) = v42 & relation(v44) & function(v44) &  ! [v49] :  ! [v50] : ( ~ (apply(v44, v49) = v50) |  ~ in(v49, v42) | (in(v50, v49) &  ! [v51] :  ! [v52] : ( ~ (ordered_pair(v50, v51) = v52) |  ~ in(v51, v49) | in(v52, v43))))) | (in(v44, v42) &  ! [v49] : ( ~ in(v49, v44) |  ? [v50] :  ? [v51] : (ordered_pair(v49, v50) = v51 & in(v50, v44) &  ~ in(v51, v43)))))) &  ? [v42] :  ! [v43] : ( ~ relation(v43) | empty(v42) |  ? [v44] :  ? [v45] :  ? [v46] :  ? [v47] :  ? [v48] : ((v48 = v44 & v47 = v44 &  ~ (v46 = v45) & in(v46, v44) & in(v45, v44) & in(v44, v42) &  ! [v49] :  ! [v50] : ( ~ (ordered_pair(v46, v49) = v50) |  ~ in(v49, v44) | in(v50, v43)) &  ! [v49] :  ! [v50] : ( ~ (ordered_pair(v45, v49) = v50) |  ~ in(v49, v44) | in(v50, v43))) | (relation(v44) & function(v44) &  ! [v49] :  ! [v50] :  ! [v51] : ( ~ (ordered_pair(v49, v50) = v51) |  ~ in(v51, v44) | in(v49, v42)) &  ! [v49] :  ! [v50] :  ! [v51] : ( ~ (ordered_pair(v49, v50) = v51) |  ~ in(v51, v44) | (in(v50, v49) &  ! [v52] :  ! [v53] : ( ~ (ordered_pair(v50, v52) = v53) |  ~ in(v52, v49) | in(v53, v43)))) &  ! [v49] :  ! [v50] :  ! [v51] : ( ~ (ordered_pair(v49, v50) = v51) |  ~ in(v50, v49) |  ~ in(v49, v42) | in(v51, v44) |  ? [v52] :  ? [v53] : (ordered_pair(v50, v52) = v53 & in(v52, v49) &  ~ in(v53, v43)))))) &  ? [v42] :  ! [v43] : ( ~ relation(v43) | empty(v42) |  ? [v44] :  ? [v45] :  ? [v46] :  ? [v47] :  ? [v48] : ((v48 = v44 & v47 = v44 &  ~ (v46 = v45) & in(v46, v44) & in(v45, v44) & in(v44, v42) &  ! [v49] :  ! [v50] : ( ~ (ordered_pair(v46, v49) = v50) |  ~ in(v49, v44) | in(v50, v43)) &  ! [v49] :  ! [v50] : ( ~ (ordered_pair(v45, v49) = v50) |  ~ in(v49, v44) | in(v50, v43))) | ( ! [v49] :  ! [v50] : ( ~ in(v50, v42) |  ~ in(v49, v50) | in(v49, v44) |  ? [v51] :  ? [v52] : (ordered_pair(v49, v51) = v52 & in(v51, v50) &  ~ in(v52, v43))) &  ! [v49] : ( ~ in(v49, v44) |  ? [v50] : (in(v50, v42) & in(v49, v50) &  ! [v51] :  ! [v52] : ( ~ (ordered_pair(v49, v51) = v52) |  ~ in(v51, v50) | in(v52, v43))))))) &  ! [v42] : (v42 = empty_set |  ~ (set_meet(empty_set) = v42)) &  ! [v42] : (v42 = empty_set |  ~ (relation_rng(v42) = empty_set) |  ~ relation(v42)) &  ! [v42] : (v42 = empty_set |  ~ (relation_dom(v42) = empty_set) |  ~ relation(v42)) &  ! [v42] : (v42 = empty_set |  ~ subset(v42, empty_set)) &  ! [v42] : (v42 = empty_set |  ~ relation(v42) |  ? [v43] :  ? [v44] :  ? [v45] : (ordered_pair(v43, v44) = v45 & in(v45, v42))) &  ! [v42] : (v42 = empty_set |  ~ empty(v42)) &  ! [v42] : (v42 = omega |  ~ being_limit_ordinal(v42) |  ~ ordinal(v42) |  ~ in(empty_set, v42) |  ? [v43] : (being_limit_ordinal(v43) & ordinal(v43) & in(empty_set, v43) &  ~ subset(v42, v43))) &  ! [v42] : ( ~ (union(v42) = v42) | being_limit_ordinal(v42)) &  ! [v42] :  ~ (singleton(v42) = empty_set) &  ! [v42] : ( ~ latt_str(v42) | meet_semilatt_str(v42)) &  ! [v42] : ( ~ latt_str(v42) | join_semilatt_str(v42)) &  ! [v42] : ( ~ being_limit_ordinal(v42) |  ~ ordinal(v42) |  ~ in(empty_set, v42) | subset(omega, v42)) &  ! [v42] : ( ~ reflexive(v42) |  ~ well_founded_relation(v42) |  ~ transitive(v42) |  ~ connected(v42) |  ~ antisymmetric(v42) |  ~ relation(v42) | well_ordering(v42)) &  ! [v42] : ( ~ well_ordering(v42) |  ~ relation(v42) | reflexive(v42)) &  ! [v42] : ( ~ well_ordering(v42) |  ~ relation(v42) | well_founded_relation(v42)) &  ! [v42] : ( ~ well_ordering(v42) |  ~ relation(v42) | transitive(v42)) &  ! [v42] : ( ~ well_ordering(v42) |  ~ relation(v42) | connected(v42)) &  ! [v42] : ( ~ well_ordering(v42) |  ~ relation(v42) | antisymmetric(v42)) &  ! [v42] : ( ~ meet_semilatt_str(v42) | one_sorted_str(v42)) &  ! [v42] : ( ~ join_semilatt_str(v42) | one_sorted_str(v42)) &  ! [v42] : ( ~ relation(v42) |  ~ function(v42) |  ~ empty(v42) | one_to_one(v42)) &  ! [v42] : ( ~ relation(v42) | transitive(v42) |  ? [v43] :  ? [v44] :  ? [v45] :  ? [v46] :  ? [v47] :  ? [v48] : (ordered_pair(v44, v45) = v47 & ordered_pair(v43, v45) = v48 & ordered_pair(v43, v44) = v46 & in(v47, v42) & in(v46, v42) &  ~ in(v48, v42))) &  ! [v42] : ( ~ relation(v42) | antisymmetric(v42) |  ? [v43] :  ? [v44] :  ? [v45] :  ? [v46] : ( ~ (v44 = v43) & ordered_pair(v44, v43) = v46 & ordered_pair(v43, v44) = v45 & in(v46, v42) & in(v45, v42))) &  ! [v42] : ( ~ diff_closed(v42) |  ~ cup_closed(v42) | preboolean(v42)) &  ! [v42] : ( ~ preboolean(v42) | diff_closed(v42)) &  ! [v42] : ( ~ preboolean(v42) | cup_closed(v42)) &  ! [v42] : ( ~ finite(v42) |  ? [v43] :  ? [v44] : (relation_rng(v43) = v42 & relation_dom(v43) = v44 & relation(v43) & function(v43) & in(v44, omega))) &  ! [v42] : ( ~ epsilon_connected(v42) |  ~ epsilon_transitive(v42) | ordinal(v42)) &  ! [v42] : ( ~ ordinal(v42) |  ~ empty(v42) | epsilon_connected(v42)) &  ! [v42] : ( ~ ordinal(v42) |  ~ empty(v42) | epsilon_transitive(v42)) &  ! [v42] : ( ~ ordinal(v42) |  ~ empty(v42) | natural(v42)) &  ! [v42] : ( ~ ordinal(v42) | being_limit_ordinal(v42) |  ? [v43] :  ? [v44] : (succ(v43) = v44 & ordinal(v43) & in(v43, v42) &  ~ in(v44, v42))) &  ! [v42] : ( ~ ordinal(v42) | being_limit_ordinal(v42) |  ? [v43] : (succ(v43) = v42 & ordinal(v43))) &  ! [v42] : ( ~ ordinal(v42) | epsilon_connected(v42)) &  ! [v42] : ( ~ ordinal(v42) | epsilon_transitive(v42)) &  ! [v42] : ( ~ empty(v42) | relation(v42)) &  ! [v42] : ( ~ empty(v42) | function(v42)) &  ! [v42] : ( ~ empty(v42) | finite(v42)) &  ! [v42] : ( ~ empty(v42) | epsilon_connected(v42)) &  ! [v42] : ( ~ empty(v42) | epsilon_transitive(v42)) &  ! [v42] : ( ~ empty(v42) | ordinal(v42)) &  ! [v42] : ( ~ empty(v42) | v5_membered(v42)) &  ! [v42] : ( ~ empty(v42) | v4_membered(v42)) &  ! [v42] : ( ~ empty(v42) | v3_membered(v42)) &  ! [v42] : ( ~ empty(v42) | v2_membered(v42)) &  ! [v42] : ( ~ empty(v42) | v1_membered(v42)) &  ! [v42] : ( ~ v5_membered(v42) | v4_membered(v42)) &  ! [v42] : ( ~ v4_membered(v42) | v3_membered(v42)) &  ! [v42] : ( ~ v3_membered(v42) | v2_membered(v42)) &  ! [v42] : ( ~ v2_membered(v42) | v1_membered(v42)) &  ! [v42] : ( ~ element(v42, omega) | epsilon_connected(v42)) &  ! [v42] : ( ~ element(v42, omega) | epsilon_transitive(v42)) &  ! [v42] : ( ~ element(v42, omega) | ordinal(v42)) &  ! [v42] : ( ~ element(v42, omega) | natural(v42)) &  ! [v42] :  ~ proper_subset(v42, v42) &  ! [v42] :  ~ in(v42, empty_set) &  ? [v42] :  ? [v43] :  ? [v44] : relation_of2(v44, v42, v43) &  ? [v42] :  ? [v43] :  ? [v44] : relation_of2_as_subset(v44, v42, v43) &  ? [v42] :  ? [v43] :  ? [v44] : (relation_of2(v44, v42, v43) & quasi_total(v44, v42, v43) & relation(v44) & function(v44)) &  ? [v42] :  ? [v43] :  ? [v44] : (relation_of2(v44, v42, v43) & relation(v44) & function(v44)) &  ? [v42] :  ? [v43] : (v43 = v42 |  ? [v44] : (( ~ in(v44, v43) |  ~ in(v44, v42)) & (in(v44, v43) | in(v44, v42)))) &  ? [v42] :  ? [v43] : (disjoint(v42, v43) |  ? [v44] : (in(v44, v43) & in(v44, v42))) &  ? [v42] :  ? [v43] : (subset(v42, v43) |  ? [v44] : (in(v44, v42) &  ~ in(v44, v43))) &  ? [v42] :  ? [v43] : element(v43, v42) &  ? [v42] :  ? [v43] : (relation_dom(v43) = v42 & relation(v43) & function(v43) &  ! [v44] :  ! [v45] : ( ~ (singleton(v44) = v45) |  ~ in(v44, v42) | apply(v43, v44) = v45) &  ! [v44] :  ! [v45] : ( ~ (apply(v43, v44) = v45) |  ~ in(v44, v42) | singleton(v44) = v45)) &  ? [v42] :  ? [v43] : (well_orders(v43, v42) & relation(v43)) &  ? [v42] :  ? [v43] : (relation(v43) & function(v43) &  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (ordered_pair(v44, v45) = v46) |  ~ in(v46, v43) | singleton(v44) = v45) &  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (ordered_pair(v44, v45) = v46) |  ~ in(v46, v43) | in(v44, v42)) &  ! [v44] :  ! [v45] :  ! [v46] : ( ~ (ordered_pair(v44, v45) = v46) |  ~ in(v44, v42) | in(v46, v43) |  ? [v47] : ( ~ (v47 = v45) & singleton(v44) = v47))) &  ? [v42] :  ? [v43] : (in(v42, v43) &  ! [v44] :  ! [v45] : ( ~ (powerset(v44) = v45) |  ~ in(v44, v43) | in(v45, v43)) &  ! [v44] :  ! [v45] : ( ~ subset(v45, v44) |  ~ in(v44, v43) | in(v45, v43)) &  ! [v44] : ( ~ subset(v44, v43) | are_equipotent(v44, v43) | in(v44, v43))) &  ? [v42] :  ? [v43] : (in(v42, v43) &  ! [v44] :  ! [v45] : ( ~ subset(v45, v44) |  ~ in(v44, v43) | in(v45, v43)) &  ! [v44] : ( ~ subset(v44, v43) | are_equipotent(v44, v43) | in(v44, v43)) &  ! [v44] : ( ~ in(v44, v43) |  ? [v45] : (in(v45, v43) &  ! [v46] : ( ~ subset(v46, v44) | in(v46, v45))))) &  ? [v42] :  ? [v43] : ( ! [v44] :  ! [v45] : ( ~ (singleton(v45) = v44) |  ~ in(v45, v42) | in(v44, v43)) &  ! [v44] : ( ~ in(v44, v43) |  ? [v45] : (singleton(v45) = v44 & in(v45, v42)))) &  ? [v42] :  ? [v43] : ( ! [v44] : ( ~ ordinal(v44) |  ~ in(v44, v42) | in(v44, v43)) &  ! [v44] : ( ~ in(v44, v43) | ordinal(v44)) &  ! [v44] : ( ~ in(v44, v43) | in(v44, v42))) &  ? [v42] : (v42 = empty_set |  ? [v43] : in(v43, v42)) &  ? [v42] : equipotent(v42, v42) &  ? [v42] : subset(v42, v42) &  ? [v42] : subset(empty_set, v42) &  ? [v42] : (relation(v42) |  ? [v43] : (in(v43, v42) &  ! [v44] :  ! [v45] :  ~ (ordered_pair(v44, v45) = v43))) &  ? [v42] : (function(v42) |  ? [v43] :  ? [v44] :  ? [v45] :  ? [v46] :  ? [v47] : ( ~ (v45 = v44) & ordered_pair(v43, v45) = v47 & ordered_pair(v43, v44) = v46 & in(v47, v42) & in(v46, v42))) &  ? [v42] : (epsilon_connected(v42) |  ? [v43] :  ? [v44] : ( ~ (v44 = v43) & in(v44, v42) & in(v43, v42) &  ~ in(v44, v43) &  ~ in(v43, v44))) &  ? [v42] : (epsilon_transitive(v42) |  ? [v43] : (in(v43, v42) &  ~ subset(v43, v42))) &  ? [v42] : (ordinal(v42) |  ? [v43] : (in(v43, v42) & ( ~ subset(v43, v42) |  ~ ordinal(v43)))) &  ? [v42] : (empty(v42) |  ? [v43] :  ? [v44] : ((v44 = v42 & relation_dom(v43) = v42 & relation(v43) & function(v43) &  ! [v45] :  ! [v46] : ( ~ (apply(v43, v45) = v46) |  ~ in(v45, v42) | in(v46, v45))) | (v43 = empty_set & in(empty_set, v42)))) & ( ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) |  ~ ordinal(v42) |  ~ in(v42, omega) |  ? [v44] : (powerset(v43) = v44 &  ! [v45] : (v45 = empty_set |  ~ element(v45, v44) |  ? [v46] : (in(v46, v45) &  ! [v47] : (v47 = v46 |  ~ subset(v46, v47) |  ~ in(v47, v45)))))) | ( ~ (v19 = empty_set) & succ(v13) = v16 & powerset(v17) = v18 & powerset(v16) = v17 & powerset(v14) = v15 & powerset(v13) = v14 & ordinal(v13) & element(v19, v18) & in(v16, omega) &  ! [v42] : ( ~ in(v42, v19) |  ? [v43] : ( ~ (v43 = v42) & subset(v42, v43) & in(v43, v19))) & ( ~ in(v13, omega) |  ! [v42] : (v42 = empty_set |  ~ element(v42, v15) |  ? [v43] : (in(v43, v42) &  ! [v44] : (v44 = v43 |  ~ subset(v43, v44) |  ~ in(v44, v42)))))) | ( ~ (v16 = empty_set) &  ~ (v13 = empty_set) & powerset(v14) = v15 & powerset(v13) = v14 & being_limit_ordinal(v13) & ordinal(v13) & element(v16, v15) & in(v13, omega) &  ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) |  ~ ordinal(v42) |  ~ in(v42, v13) |  ~ in(v42, omega) |  ? [v44] : (powerset(v43) = v44 &  ! [v45] : (v45 = empty_set |  ~ element(v45, v44) |  ? [v46] : (in(v46, v45) &  ! [v47] : (v47 = v46 |  ~ subset(v46, v47) |  ~ in(v47, v45)))))) &  ! [v42] : ( ~ in(v42, v16) |  ? [v43] : ( ~ (v43 = v42) & subset(v42, v43) & in(v43, v16)))) | ( ~ (v13 = empty_set) & element(v13, v1) &  ! [v42] : ( ~ in(v42, v13) |  ? [v43] : ( ~ (v43 = v42) & subset(v42, v43) & in(v43, v13))))) & ( ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) |  ~ ordinal(v42) |  ~ in(v42, omega) |  ? [v44] : (powerset(v43) = v44 &  ! [v45] : (v45 = empty_set |  ~ element(v45, v44) |  ? [v46] : (in(v46, v45) &  ! [v47] : (v47 = v46 |  ~ subset(v46, v47) |  ~ in(v47, v45)))))) | ( ~ (v12 = empty_set) & powerset(v10) = v11 & powerset(v9) = v10 & ordinal(v9) & element(v12, v11) & in(v9, omega) &  ! [v42] :  ! [v43] : ( ~ (powerset(v42) = v43) |  ~ ordinal(v42) |  ~ in(v42, v9) |  ~ in(v42, omega) |  ? [v44] : (powerset(v43) = v44 &  ! [v45] : (v45 = empty_set |  ~ element(v45, v44) |  ? [v46] : (in(v46, v45) &  ! [v47] : (v47 = v46 |  ~ subset(v46, v47) |  ~ in(v47, v45)))))) &  ! [v42] : ( ~ in(v42, v12) |  ? [v43] : ( ~ (v43 = v42) & subset(v42, v43) & in(v43, v12))))))
% 26.28/6.86  | 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 yields:
% 26.28/6.86  | (1)  ~ (all_0_33_33 = all_0_34_34) & subset_difference(all_0_38_38, all_0_36_36, all_0_35_35) = all_0_33_33 & subset_complement(all_0_38_38, all_0_35_35) = all_0_34_34 & cast_as_carrier_subset(all_0_39_39) = all_0_36_36 & singleton(empty_set) = all_0_41_41 & relation_rng(empty_set) = empty_set & relation_dom(empty_set) = empty_set & the_carrier(all_0_39_39) = all_0_38_38 & powerset(all_0_38_38) = all_0_37_37 & powerset(all_0_41_41) = all_0_40_40 & powerset(empty_set) = all_0_41_41 & relation_empty_yielding(all_0_19_19) & relation_empty_yielding(all_0_21_21) & relation_empty_yielding(empty_set) & latt_str(all_0_3_3) & being_limit_ordinal(all_0_9_9) & being_limit_ordinal(omega) & one_sorted_str(all_0_1_1) & one_sorted_str(all_0_20_20) & one_sorted_str(all_0_39_39) & meet_semilatt_str(all_0_0_0) & join_semilatt_str(all_0_2_2) & one_to_one(all_0_10_10) & one_to_one(all_0_14_14) & one_to_one(all_0_17_17) & one_to_one(empty_set) & relation(all_0_6_6) & relation(all_0_10_10) & relation(all_0_11_11) & relation(all_0_13_13) & relation(all_0_14_14) & relation(all_0_15_15) & relation(all_0_17_17) & relation(all_0_19_19) & relation(all_0_21_21) & relation(empty_set) & function(all_0_6_6) & function(all_0_10_10) & function(all_0_13_13) & function(all_0_14_14) & function(all_0_17_17) & function(all_0_21_21) & function(empty_set) & finite(all_0_5_5) & epsilon_connected(all_0_4_4) & epsilon_connected(all_0_8_8) & epsilon_connected(all_0_9_9) & epsilon_connected(all_0_14_14) & epsilon_connected(all_0_18_18) & epsilon_connected(empty_set) & epsilon_connected(omega) & epsilon_transitive(all_0_4_4) & epsilon_transitive(all_0_8_8) & epsilon_transitive(all_0_9_9) & epsilon_transitive(all_0_14_14) & epsilon_transitive(all_0_18_18) & epsilon_transitive(empty_set) & epsilon_transitive(omega) & ordinal(all_0_4_4) & ordinal(all_0_8_8) & ordinal(all_0_9_9) & ordinal(all_0_14_14) & ordinal(all_0_18_18) & ordinal(empty_set) & ordinal(omega) & empty(all_0_10_10) & empty(all_0_11_11) & empty(all_0_12_12) & empty(all_0_13_13) & empty(all_0_14_14) & empty(empty_set) & natural(all_0_4_4) & v5_membered(all_0_7_7) & v5_membered(empty_set) & v4_membered(all_0_7_7) & v4_membered(empty_set) & v3_membered(all_0_7_7) & v3_membered(empty_set) & v2_membered(all_0_7_7) & v2_membered(empty_set) & element(all_0_35_35, all_0_37_37) & v1_membered(all_0_7_7) & v1_membered(empty_set) & in(empty_set, omega) &  ~ empty_carrier(all_0_20_20) &  ~ empty(all_0_4_4) &  ~ empty(all_0_5_5) &  ~ empty(all_0_7_7) &  ~ empty(all_0_15_15) &  ~ empty(all_0_16_16) &  ~ empty(all_0_18_18) &  ~ empty(omega) &  ! [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] : (v1 = empty_set |  ~ (relation_composition(v3, v5) = v6) |  ~ (apply(v6, v2) = v7) |  ~ (apply(v3, v2) = v4) |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ relation(v5) |  ~ function(v5) |  ~ function(v3) |  ~ in(v2, v0) | apply(v5, v4) = v7) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_composition(v0, v1) = v2) |  ~ (ordered_pair(v6, v4) = v7) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ in(v7, v1) | in(v5, v2) |  ? [v8] : (ordered_pair(v3, v6) = v8 &  ~ in(v8, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_composition(v0, v1) = v2) |  ~ (ordered_pair(v3, v6) = v7) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ in(v7, v0) | in(v5, v2) |  ? [v8] : (ordered_pair(v6, v4) = v8 &  ~ in(v8, v1))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v1 = empty_set |  ~ (relation_inverse_image(v3, v2) = v4) |  ~ (apply(v3, v5) = v6) |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ function(v3) |  ~ in(v6, v2) |  ~ in(v5, v0) | in(v5, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v1 = empty_set |  ~ (relation_inverse_image(v3, v2) = v4) |  ~ (apply(v3, v5) = v6) |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ function(v3) |  ~ in(v5, v4) | in(v6, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v1 = empty_set |  ~ (relation_inverse_image(v3, v2) = v4) |  ~ (apply(v3, v5) = v6) |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ function(v3) |  ~ in(v5, v4) | in(v5, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v1 = empty_set |  ~ (apply(v5, v4) = v6) |  ~ (apply(v3, v2) = v4) |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ relation(v5) |  ~ function(v5) |  ~ function(v3) |  ~ in(v2, v0) |  ? [v7] : (relation_composition(v3, v5) = v7 & apply(v7, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_composition(v5, v3) = v6) |  ~ (identity_relation(v2) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ relation(v3) |  ~ in(v4, v6) | in(v4, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_composition(v5, v3) = v6) |  ~ (identity_relation(v2) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ relation(v3) |  ~ in(v4, v6) | in(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_composition(v5, v3) = v6) |  ~ (identity_relation(v2) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ relation(v3) |  ~ in(v4, v3) |  ~ in(v0, v2) | in(v4, v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (apply_binary_as_element(v0, v1, v2, v3, v4, v5) = v6) |  ~ function(v3) |  ~ element(v5, v1) |  ~ element(v4, v0) | empty(v1) | empty(v0) | element(v6, v2) |  ? [v7] : (cartesian_product2(v0, v1) = v7 & ( ~ relation_of2(v3, v7, v2) |  ~ quasi_total(v3, v7, v2)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (apply_binary_as_element(v0, v1, v2, v3, v4, v5) = v6) |  ~ function(v3) |  ~ element(v5, v1) |  ~ element(v4, v0) | empty(v1) | empty(v0) |  ? [v7] :  ? [v8] : (apply_binary(v3, v4, v5) = v8 & cartesian_product2(v0, v1) = v7 & (v8 = v6 |  ~ relation_of2(v3, v7, v2) |  ~ quasi_total(v3, v7, v2)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v3, v4) = v6) |  ~ (ordered_pair(v2, v3) = v5) |  ~ is_transitive_in(v0, v1) |  ~ relation(v0) |  ~ in(v6, v0) |  ~ in(v5, v0) |  ~ in(v4, v1) |  ~ in(v3, v1) |  ~ in(v2, v1) |  ? [v7] : (ordered_pair(v2, v4) = v7 & in(v7, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v3, v4) = v5) |  ~ (ordered_pair(v2, v4) = v6) |  ~ is_transitive_in(v0, v1) |  ~ relation(v0) |  ~ in(v5, v0) |  ~ in(v4, v1) |  ~ in(v3, v1) |  ~ in(v2, v1) | in(v6, v0) |  ? [v7] : (ordered_pair(v2, v3) = v7 &  ~ in(v7, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v2, v4) = v6) |  ~ (ordered_pair(v2, v3) = v5) |  ~ is_transitive_in(v0, v1) |  ~ relation(v0) |  ~ in(v5, v0) |  ~ in(v4, v1) |  ~ in(v3, v1) |  ~ in(v2, v1) | in(v6, v0) |  ? [v7] : (ordered_pair(v3, v4) = v7 &  ~ in(v7, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (meet(v0, v2, v3) = v4) |  ~ (join(v0, v4, v3) = v5) |  ~ (the_carrier(v0) = v1) |  ~ meet_absorbing(v0) |  ~ latt_str(v0) |  ~ element(v3, v1) |  ~ element(v2, v1) | empty_carrier(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v3 = v2 |  ~ (ordered_pair(v1, v3) = v5) |  ~ (ordered_pair(v1, v2) = v4) |  ~ function(v0) |  ~ in(v5, v0) |  ~ in(v4, v0)) &  ! [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] : (v2 = v1 |  ~ (pair_first(v0) = v1) |  ~ (ordered_pair(v4, v5) = v0) |  ~ (ordered_pair(v2, v3) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_composition(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ in(v5, v2) |  ? [v6] :  ? [v7] :  ? [v8] : (ordered_pair(v6, v4) = v8 & ordered_pair(v3, v6) = v7 & in(v8, v1) & in(v7, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (inclusion_relation(v0) = v1) |  ~ (relation_field(v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ subset(v3, v4) |  ~ relation(v1) |  ~ in(v4, v0) |  ~ in(v3, v0) | in(v5, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (inclusion_relation(v0) = v1) |  ~ (relation_field(v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v1) |  ~ in(v5, v1) |  ~ in(v4, v0) |  ~ in(v3, v0) | subset(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_rng(v4) = v5) |  ~ (relation_field(v2) = v3) |  ~ (relation_field(v0) = v1) |  ~ relation(v4) |  ~ relation(v2) |  ~ relation(v0) |  ~ function(v4) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (relation_dom(v4) = v6 & ( ~ (v6 = v1) |  ~ (v5 = v3) |  ~ one_to_one(v4) | relation_isomorphism(v0, v2, v4) | (apply(v4, v8) = v11 & apply(v4, v7) = v10 & ordered_pair(v10, v11) = v12 & ordered_pair(v7, v8) = v9 & ( ~ in(v12, v2) |  ~ in(v9, v0) |  ~ in(v8, v1) |  ~ in(v7, v1)) & (in(v9, v0) | (in(v12, v2) & in(v8, v1) & in(v7, v1))))) & ( ~ relation_isomorphism(v0, v2, v4) | (v6 = v1 & v5 = v3 & one_to_one(v4) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) |  ~ in(v17, v2) |  ~ in(v14, v1) |  ~ in(v13, v1) |  ? [v18] : (ordered_pair(v13, v14) = v18 & in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) | in(v17, v2) |  ? [v18] : (ordered_pair(v13, v14) = v18 &  ~ in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) | in(v14, v1) |  ? [v18] : (ordered_pair(v13, v14) = v18 &  ~ in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) | in(v13, v1) |  ? [v18] : (ordered_pair(v13, v14) = v18 &  ~ in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v15, v0) | in(v14, v1)) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v15, v0) | in(v13, v1)) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v15, v0) |  ? [v16] :  ? [v17] :  ? [v18] : (apply(v4, v14) = v17 & apply(v4, v13) = v16 & ordered_pair(v16, v17) = v18 & in(v18, v2))) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v14, v1) |  ~ in(v13, v1) | in(v15, v0) |  ? [v16] :  ? [v17] :  ? [v18] : (apply(v4, v14) = v17 & apply(v4, v13) = v16 & ordered_pair(v16, v17) = v18 &  ~ in(v18, v2))))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_inverse_image(v0, v2) = v3) |  ~ (relation_dom(v0) = v1) |  ~ (apply(v0, v4) = v5) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v5, v2) |  ~ in(v4, v1) | in(v4, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_inverse_image(v0, v2) = v3) |  ~ (relation_dom(v0) = v1) |  ~ (apply(v0, v4) = v5) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v4, v3) | in(v5, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_inverse_image(v0, v2) = v3) |  ~ (relation_dom(v0) = v1) |  ~ (apply(v0, v4) = v5) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v4, v3) | in(v4, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_inverse_image(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v0) |  ~ in(v5, v0) |  ~ in(v4, v1) | in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_field(v2) = v3) |  ~ (relation_field(v0) = v1) |  ~ (relation_dom(v4) = v5) |  ~ relation(v4) |  ~ relation(v2) |  ~ relation(v0) |  ~ function(v4) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (relation_rng(v4) = v6 & ( ~ (v6 = v3) |  ~ (v5 = v1) |  ~ one_to_one(v4) | relation_isomorphism(v0, v2, v4) | (apply(v4, v8) = v11 & apply(v4, v7) = v10 & ordered_pair(v10, v11) = v12 & ordered_pair(v7, v8) = v9 & ( ~ in(v12, v2) |  ~ in(v9, v0) |  ~ in(v8, v1) |  ~ in(v7, v1)) & (in(v9, v0) | (in(v12, v2) & in(v8, v1) & in(v7, v1))))) & ( ~ relation_isomorphism(v0, v2, v4) | (v6 = v3 & v5 = v1 & one_to_one(v4) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) |  ~ in(v17, v2) |  ~ in(v14, v1) |  ~ in(v13, v1) |  ? [v18] : (ordered_pair(v13, v14) = v18 & in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) | in(v17, v2) |  ? [v18] : (ordered_pair(v13, v14) = v18 &  ~ in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) | in(v14, v1) |  ? [v18] : (ordered_pair(v13, v14) = v18 &  ~ in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) | in(v13, v1) |  ? [v18] : (ordered_pair(v13, v14) = v18 &  ~ in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v15, v0) | in(v14, v1)) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v15, v0) | in(v13, v1)) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v15, v0) |  ? [v16] :  ? [v17] :  ? [v18] : (apply(v4, v14) = v17 & apply(v4, v13) = v16 & ordered_pair(v16, v17) = v18 & in(v18, v2))) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v14, v1) |  ~ in(v13, v1) | in(v15, v0) |  ? [v16] :  ? [v17] :  ? [v18] : (apply(v4, v14) = v17 & apply(v4, v13) = v16 & ordered_pair(v16, v17) = v18 &  ~ in(v18, v2))))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v1) |  ~ in(v5, v2) | in(v5, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v1) |  ~ in(v5, v2) | in(v4, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v1) |  ~ in(v5, v1) |  ~ in(v4, v0) | in(v5, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom(v3) = v4) |  ~ (relation_dom(v1) = v2) |  ~ (set_intersection2(v4, v0) = v5) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (relation_dom_restriction(v3, v0) = v6 & ( ~ (v6 = v1) | (v5 = v2 &  ! [v10] :  ! [v11] : ( ~ (apply(v3, v10) = v11) |  ~ in(v10, v2) | apply(v1, v10) = v11) &  ! [v10] :  ! [v11] : ( ~ (apply(v1, v10) = v11) |  ~ in(v10, v2) | apply(v3, v10) = v11))) & ( ~ (v5 = v2) | v6 = v1 | ( ~ (v9 = v8) & apply(v3, v7) = v9 & apply(v1, v7) = v8 & in(v7, v2))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom(v0) = v1) |  ~ (relation_image(v0, v2) = v3) |  ~ (apply(v0, v5) = v4) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v5, v2) |  ~ in(v5, v1) | in(v4, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_image(v0, v1) = v2) |  ~ (ordered_pair(v4, v3) = v5) |  ~ relation(v0) |  ~ in(v5, v0) |  ~ in(v4, v1) | in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v0) |  ~ in(v5, v2) | in(v5, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v0) |  ~ in(v5, v2) | in(v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v0) |  ~ in(v5, v0) |  ~ in(v3, v1) | in(v5, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v4, v5) = v3) |  ~ (cartesian_product2(v0, v1) = v2) |  ~ in(v5, v1) |  ~ in(v4, v0) | in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v2, v3) = v5) |  ~ (ordered_pair(v1, v2) = v4) |  ~ transitive(v0) |  ~ relation(v0) |  ~ in(v5, v0) |  ~ in(v4, v0) |  ? [v6] : (ordered_pair(v1, v3) = v6 & in(v6, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v1, v3) = v5) |  ~ transitive(v0) |  ~ relation(v0) |  ~ in(v4, v0) | in(v5, v0) |  ? [v6] : (ordered_pair(v1, v2) = v6 &  ~ in(v6, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v1, v3) = v5) |  ~ (ordered_pair(v1, v2) = v4) |  ~ transitive(v0) |  ~ relation(v0) |  ~ in(v4, v0) | in(v5, v0) |  ? [v6] : (ordered_pair(v2, v3) = v6 &  ~ in(v6, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v0, v1) = v4) |  ~ (cartesian_product2(v2, v3) = v5) |  ~ in(v4, v5) | in(v1, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v0, v1) = v4) |  ~ (cartesian_product2(v2, v3) = v5) |  ~ in(v4, v5) | in(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v0, v1) = v4) |  ~ (cartesian_product2(v2, v3) = v5) |  ~ in(v1, v3) |  ~ in(v0, v2) | in(v4, v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v1, v3) = v5) |  ~ (cartesian_product2(v0, v2) = v4) |  ~ subset(v2, v3) |  ~ subset(v0, v1) | subset(v4, v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (join(v0, v2, v3) = v4) |  ~ (the_carrier(v0) = v1) |  ~ below(v0, v2, v3) |  ~ join_semilatt_str(v0) |  ~ element(v3, v1) |  ~ element(v2, v1) | empty_carrier(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (relation_dom(v1) = v2) |  ~ (apply(v1, v3) = v4) |  ~ (identity_relation(v0) = v1) |  ~ relation(v1) |  ~ function(v1) |  ~ in(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 | v4 = v1 | v4 = v0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ in(v4, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (relation_field(v0) = v1) |  ~ (ordered_pair(v3, v2) = v4) |  ~ connected(v0) |  ~ relation(v0) |  ~ in(v3, v1) |  ~ in(v2, v1) | in(v4, v0) |  ? [v5] : (ordered_pair(v2, v3) = v5 & in(v5, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (relation_field(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ connected(v0) |  ~ relation(v0) |  ~ in(v3, v1) |  ~ in(v2, v1) | in(v4, v0) |  ? [v5] : (ordered_pair(v3, v2) = v5 & in(v5, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (relation_dom(v0) = v1) |  ~ (apply(v0, v3) = v4) |  ~ (apply(v0, v2) = v4) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v3, v1) |  ~ in(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v1) |  ~ in(v4, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (ordered_pair(v3, v2) = v4) |  ~ is_connected_in(v0, v1) |  ~ relation(v0) |  ~ in(v3, v1) |  ~ in(v2, v1) | in(v4, v0) |  ? [v5] : (ordered_pair(v2, v3) = v5 & in(v5, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (ordered_pair(v3, v2) = v4) |  ~ is_antisymmetric_in(v0, v1) |  ~ relation(v0) |  ~ in(v4, v0) |  ~ in(v3, v1) |  ~ in(v2, v1) |  ? [v5] : (ordered_pair(v2, v3) = v5 &  ~ in(v5, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (ordered_pair(v2, v3) = v4) |  ~ is_connected_in(v0, v1) |  ~ relation(v0) |  ~ in(v3, v1) |  ~ in(v2, v1) | in(v4, v0) |  ? [v5] : (ordered_pair(v3, v2) = v5 & in(v5, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (ordered_pair(v2, v3) = v4) |  ~ is_antisymmetric_in(v0, v1) |  ~ relation(v0) |  ~ in(v4, v0) |  ~ in(v3, v1) |  ~ in(v2, v1) |  ? [v5] : (ordered_pair(v3, v2) = v5 &  ~ in(v5, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (fiber(v0, v1) = v2) |  ~ (ordered_pair(v3, v1) = v4) |  ~ relation(v0) |  ~ in(v4, v0) | in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v0 | v2 = v0 |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (apply_binary(v4, v3, v2) = v1) |  ~ (apply_binary(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (subset_difference(v4, v3, v2) = v1) |  ~ (subset_difference(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_rng_as_subset(v4, v3, v2) = v1) |  ~ (relation_rng_as_subset(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (meet(v4, v3, v2) = v1) |  ~ (meet(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 |  ~ (unordered_triple(v4, v3, v2) = v1) |  ~ (unordered_triple(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 |  ~ (subset_difference(v0, v2, v3) = v4) |  ~ (meet_of_subsets(v0, v1) = v3) |  ~ (cast_to_subset(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (union_of_subsets(v0, v7) = v8 & complements_of_subsets(v0, v1) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & (v8 = v4 |  ~ element(v1, v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = empty_set |  ~ (subset_difference(v0, v2, v3) = v4) |  ~ (union_of_subsets(v0, v1) = v3) |  ~ (cast_to_subset(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (meet_of_subsets(v0, v7) = v8 & complements_of_subsets(v0, v1) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & (v8 = v4 |  ~ element(v1, v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = empty_set |  ~ (apply(v3, v2) = v4) |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ function(v3) |  ~ in(v2, v0) |  ? [v5] : (relation_rng(v3) = v5 & in(v4, v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v0 = empty_set |  ~ (subset_complement(v0, v2) = v3) |  ~ (powerset(v0) = v1) |  ~ element(v4, v0) |  ~ element(v2, v1) | in(v4, v3) | in(v4, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (function_inverse(v1) = v2) |  ~ (relation_composition(v2, v1) = v3) |  ~ (apply(v3, v0) = v4) |  ~ one_to_one(v1) |  ~ relation(v1) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_rng(v1) = v5 & apply(v2, v0) = v6 & apply(v1, v6) = v7 & ( ~ in(v0, v5) | (v7 = v0 & v4 = v0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (function_inverse(v1) = v2) |  ~ (apply(v2, v0) = v3) |  ~ (apply(v1, v3) = v4) |  ~ one_to_one(v1) |  ~ relation(v1) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v2, v1) = v6 & relation_rng(v1) = v5 & apply(v6, v0) = v7 & ( ~ in(v0, v5) | (v7 = v0 & v4 = v0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_composition(v2, v1) = v3) |  ~ (apply(v3, v0) = v4) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v3) = v5 & apply(v2, v0) = v6 & apply(v1, v6) = v7 & (v7 = v4 |  ~ in(v0, v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_inverse(v0) = v1) |  ~ (ordered_pair(v3, v2) = v4) |  ~ relation(v1) |  ~ relation(v0) |  ~ in(v4, v0) |  ? [v5] : (ordered_pair(v2, v3) = v5 & in(v5, v1))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_inverse(v0) = v1) |  ~ (ordered_pair(v3, v2) = v4) |  ~ relation(v1) |  ~ relation(v0) | in(v4, v0) |  ? [v5] : (ordered_pair(v2, v3) = v5 &  ~ in(v5, v1))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_inverse(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v1) |  ~ relation(v0) |  ~ in(v4, v1) |  ? [v5] : (ordered_pair(v3, v2) = v5 & in(v5, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_inverse(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v1) |  ~ relation(v0) | in(v4, v1) |  ? [v5] : (ordered_pair(v3, v2) = v5 &  ~ in(v5, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_restriction(v2, v0) = v3) |  ~ (fiber(v3, v1) = v4) |  ~ relation(v2) |  ? [v5] : (fiber(v2, v1) = v5 & subset(v4, v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (subset_complement(v0, v3) = v4) |  ~ (powerset(v0) = v2) |  ~ disjoint(v1, v3) |  ~ element(v3, v2) |  ~ element(v1, v2) | subset(v1, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (subset_complement(v0, v3) = v4) |  ~ (powerset(v0) = v2) |  ~ subset(v1, v4) |  ~ element(v3, v2) |  ~ element(v1, v2) | disjoint(v1, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v1, v3) = v4) |  ~ (singleton(v2) = v3) |  ~ subset(v0, v1) | subset(v0, v4) | in(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v1, v2) = v4) |  ~ (set_difference(v0, v2) = v3) |  ~ subset(v0, v1) | subset(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v1, v2) = v4) |  ~ (powerset(v0) = v3) |  ~ element(v2, v3) |  ~ element(v1, v3) | subset_difference(v0, v1, v2) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (fiber(v0, v1) = v2) |  ~ (ordered_pair(v3, v1) = v4) |  ~ relation(v0) |  ~ in(v3, v2) | in(v4, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (singleton(v0) = v3) |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ relation_of2_as_subset(v3, v2, v0) |  ~ subset(v4, v1) | relation_of2_as_subset(v3, v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) | in(v1, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) |  ? [v5] : (relation_dom(v2) = v5 & in(v0, v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v0) = v1) |  ~ (ordered_pair(v3, v2) = v4) |  ~ relation(v0) |  ~ in(v4, v0) | in(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_inverse_image(v2, v1) = v4) |  ~ (relation_inverse_image(v2, v0) = v3) |  ~ subset(v0, v1) |  ~ relation(v2) | subset(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_field(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) | in(v1, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_field(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) | in(v0, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng_restriction(v0, v3) = v4) |  ~ (relation_dom_restriction(v2, v1) = v3) |  ~ relation(v2) |  ? [v5] : (relation_rng_restriction(v0, v2) = v5 & relation_dom_restriction(v5, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng_restriction(v0, v2) = v3) |  ~ (relation_dom_restriction(v3, v1) = v4) |  ~ relation(v2) |  ? [v5] : (relation_rng_restriction(v0, v5) = v4 & relation_dom_restriction(v2, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ function(v2) |  ? [v5] : (apply(v2, v0) = v5 & ( ~ (v5 = v1) |  ~ in(v0, v4) | in(v3, v2)) & ( ~ in(v3, v2) | (v5 = v1 & in(v0, v4))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) | in(v0, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) |  ? [v5] : (relation_rng(v2) = v5 & in(v1, v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v1) = v2) |  ~ (relation_image(v1, v3) = v4) |  ~ (set_intersection2(v2, v0) = v3) |  ~ relation(v1) | relation_image(v1, v0) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v1) = v2) |  ~ (apply(v3, v0) = v4) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v3, v1) = v5 & relation_dom(v5) = v6 & relation_dom(v3) = v7 & ( ~ in(v4, v2) |  ~ in(v0, v7) | in(v0, v6)) & ( ~ in(v0, v6) | (in(v4, v2) & in(v0, v7))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v1) = v2) |  ~ (relation_dom_restriction(v3, v0) = v4) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (relation_dom(v3) = v5 & set_intersection2(v5, v0) = v6 & ( ~ (v6 = v2) | v4 = v1 | ( ~ (v9 = v8) & apply(v3, v7) = v9 & apply(v1, v7) = v8 & in(v7, v2))) & ( ~ (v4 = v1) | (v6 = v2 &  ! [v10] :  ! [v11] : ( ~ (apply(v3, v10) = v11) |  ~ in(v10, v2) | apply(v1, v10) = v11) &  ! [v10] :  ! [v11] : ( ~ (apply(v1, v10) = v11) |  ~ in(v10, v2) | apply(v3, v10) = v11))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v0) = v1) |  ~ (relation_image(v0, v2) = v3) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v4, v3) |  ? [v5] : (apply(v0, v5) = v4 & in(v5, v2) & in(v5, v1))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v2, v1) |  ? [v5] : (apply(v0, v2) = v5 & ( ~ (v5 = v3) | in(v4, v0)) & (v5 = v3 |  ~ in(v4, v0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v0) |  ~ in(v4, v0) | in(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v3, v1) = v4) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v1, v0) | apply(v2, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v3, v1) = v4) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ~ relation(v2) |  ~ function(v2) |  ? [v5] :  ? [v6] : (relation_dom(v3) = v5 & apply(v2, v1) = v6 & (v6 = v4 |  ~ in(v1, v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v2, v1) = v4) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ~ relation(v2) |  ~ function(v2) |  ? [v5] :  ? [v6] : (relation_dom(v3) = v5 & apply(v3, v1) = v6 & (v6 = v4 |  ~ in(v1, v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v2, v0) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ function(v2) |  ? [v5] : (relation_dom(v2) = v5 & ( ~ (v4 = v1) |  ~ in(v0, v5) | in(v3, v2)) & ( ~ in(v3, v2) | (v4 = v1 & in(v0, v5))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v2, v0) = v3) |  ~ (apply(v1, v3) = v4) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v2, v1) = v5 & relation_dom(v5) = v6 & apply(v5, v0) = v7 & (v7 = v4 |  ~ in(v0, v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v1) |  ~ in(v4, v1) | in(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) |  ~ subset(v0, v1) |  ~ relation(v1) |  ~ relation(v0) |  ~ in(v4, v0) | in(v4, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (meet_commut(v0, v2, v3) = v4) |  ~ (the_carrier(v0) = v1) |  ~ meet_absorbing(v0) |  ~ latt_str(v0) |  ~ meet_commutative(v0) |  ~ element(v3, v1) |  ~ element(v2, v1) | below(v0, v4, v2) | empty_carrier(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_intersection2(v1, v2) = v4) |  ~ (set_intersection2(v0, v2) = v3) |  ~ subset(v0, v1) | subset(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_intersection2(v1, v2) = v4) |  ~ (powerset(v0) = v3) |  ~ element(v2, v3) |  ~ element(v1, v3) | subset_intersection2(v0, v1, v2) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v1) = v4) |  ~ (cartesian_product2(v2, v0) = v3) |  ~ subset(v0, v1) | subset(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v1) = v4) |  ~ (cartesian_product2(v2, v0) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v1, v2) = v6 & cartesian_product2(v0, v2) = v5 & subset(v5, v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v1) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v2, v0) = v6 & cartesian_product2(v1, v2) = v5 & subset(v6, v4) & subset(v3, v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v0) = v4) |  ~ (cartesian_product2(v1, v2) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v2, v1) = v6 & cartesian_product2(v0, v2) = v5 & subset(v5, v3) & subset(v4, v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v1, v2) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ subset(v0, v1) | subset(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v1, v2) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v2, v1) = v6 & cartesian_product2(v2, v0) = v5 & subset(v5, v6))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v0 |  ~ (unordered_triple(v1, v2, v3) = v4) |  ? [v5] : ((v5 = v3 | v5 = v2 | v5 = v1 | in(v5, v0)) & ( ~ in(v5, v0) | ( ~ (v5 = v3) &  ~ (v5 = v2) &  ~ (v5 = v1))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v0 |  ~ (relation_inverse_image(v1, v3) = v4) |  ~ (relation_dom(v1) = v2) |  ~ relation(v1) |  ~ function(v1) |  ? [v5] :  ? [v6] : (apply(v1, v5) = v6 & ( ~ in(v6, v3) |  ~ in(v5, v2) |  ~ in(v5, v0)) & (in(v5, v0) | (in(v6, v3) & in(v5, v2))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v0 |  ~ (relation_dom(v1) = v2) |  ~ (relation_image(v1, v3) = v4) |  ~ relation(v1) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (( ~ in(v5, v0) |  ! [v8] : ( ~ (apply(v1, v8) = v5) |  ~ in(v8, v3) |  ~ in(v8, v2))) & (in(v5, v0) | (v7 = v5 & apply(v1, v6) = v5 & in(v6, v3) & in(v6, v2))))) &  ? [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] :  ! [v4] : ( ~ (relation_composition(v3, v1) = v4) |  ~ (relation_dom(v1) = v2) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v4) = v5 & relation_dom(v3) = v6 & apply(v3, v0) = v7 & ( ~ in(v7, v2) |  ~ in(v0, v6) | in(v0, v5)) & ( ~ in(v0, v5) | (in(v7, v2) & in(v0, v6))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ (relation_dom(v1) = v2) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v3, v1) = v5 & relation_dom(v5) = v6 & apply(v3, v0) = v7 & ( ~ in(v7, v2) |  ~ in(v0, v4) | in(v0, v6)) & ( ~ in(v0, v6) | (in(v7, v2) & in(v0, v4))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v2) = v4) |  ~ (powerset(v1) = v3) |  ~ relation(v2) |  ~ function(v2) |  ? [v5] :  ? [v6] :  ? [v7] : (powerset(v4) = v6 & powerset(v3) = v5 & ( ~ element(v0, v5) | ( ! [v8] :  ! [v9] : ( ~ (relation_image(v2, v8) = v9) |  ~ in(v9, v0) |  ~ in(v8, v6) | in(v8, v7)) &  ! [v8] :  ! [v9] : ( ~ (relation_image(v2, v8) = v9) |  ~ in(v8, v7) | in(v9, v0)) &  ! [v8] :  ! [v9] : ( ~ (relation_image(v2, v8) = v9) |  ~ in(v8, v7) | in(v8, v6)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (relation_composition(v0, v1) = v2) |  ~ relation(v3) |  ~ relation(v1) |  ~ relation(v0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (ordered_pair(v4, v5) = v6 & ( ~ in(v6, v3) | ( ! [v10] :  ! [v11] : ( ~ (ordered_pair(v10, v5) = v11) |  ~ in(v11, v1) |  ? [v12] : (ordered_pair(v4, v10) = v12 &  ~ in(v12, v0))) &  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v4, v10) = v11) |  ~ in(v11, v0) |  ? [v12] : (ordered_pair(v10, v5) = v12 &  ~ in(v12, v1))))) & (in(v6, v3) | (ordered_pair(v7, v5) = v9 & ordered_pair(v4, v7) = v8 & in(v9, v1) & in(v8, v0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v3) |  ~ relation(v1) |  ? [v4] :  ? [v5] :  ? [v6] : (ordered_pair(v4, v5) = v6 & ( ~ in(v6, v3) |  ~ in(v6, v1) |  ~ in(v5, v0)) & (in(v6, v3) | (in(v6, v1) & in(v5, v0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (relation_dom_restriction(v0, v1) = v3) |  ~ relation(v2) |  ~ relation(v0) |  ? [v4] :  ? [v5] :  ? [v6] : (ordered_pair(v4, v5) = v6 & ( ~ in(v6, v2) |  ~ in(v6, v0) |  ~ in(v4, v1)) & (in(v6, v2) | (in(v6, v0) & in(v4, v1))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (the_carrier(v0) = v1) |  ~ below(v0, v3, v2) |  ~ below(v0, v2, v3) |  ~ join_semilatt_str(v0) |  ~ join_commutative(v0) |  ~ element(v3, v1) |  ~ element(v2, v1) | empty_carrier(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 | v3 = v0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (relation_rng_as_subset(v0, v1, v2) = v3) |  ~ relation_of2_as_subset(v2, v0, v1) |  ? [v4] : (in(v4, v1) &  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v5, v4) = v6) |  ~ in(v6, v2)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (complements_of_subsets(v0, v2) = v3) |  ~ (complements_of_subsets(v0, v1) = v2) |  ? [v4] :  ? [v5] : (powerset(v4) = v5 & powerset(v0) = v4 &  ~ element(v1, v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (subset_complement(v0, v2) = v3) |  ~ (subset_complement(v0, v1) = v2) |  ? [v4] : (powerset(v0) = v4 &  ~ element(v1, v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) |  ~ subset(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (singleton(v0) = v2) |  ~ (set_union2(v2, v1) = v3) |  ~ in(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (relation_dom_as_subset(v1, v0, v2) = v3) |  ~ relation_of2_as_subset(v2, v1, v0) |  ? [v4] : (in(v4, v1) &  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v4, v5) = v6) |  ~ in(v6, v2)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (apply(v2, v1) = v3) |  ~ (identity_relation(v0) = v2) |  ~ in(v1, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 | v1 = empty_set |  ~ (relation_dom_as_subset(v0, v1, v2) = v3) |  ~ quasi_total(v2, v0, v1) |  ~ relation_of2_as_subset(v2, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v0, v2) = v3) |  ~ (singleton(v1) = v2) | in(v1, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (relation_inverse_image(v1, v0) = v2) |  ~ (relation_image(v1, v2) = v3) |  ~ relation(v1) |  ~ function(v1) |  ? [v4] : (relation_rng(v1) = v4 &  ~ subset(v0, v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = empty_set |  ~ (relation_dom(v0) = v1) |  ~ (apply(v0, v2) = v3) |  ~ relation(v0) |  ~ function(v0) | in(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (ordered_pair(v2, v1) = v3) |  ~ antisymmetric(v0) |  ~ relation(v0) |  ~ in(v3, v0) |  ? [v4] : (ordered_pair(v1, v2) = v4 &  ~ in(v4, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (ordered_pair(v1, v2) = v3) |  ~ antisymmetric(v0) |  ~ relation(v0) |  ~ in(v3, v0) |  ? [v4] : (ordered_pair(v2, v1) = v4 &  ~ in(v4, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (meet_of_subsets(v3, v2) = v1) |  ~ (meet_of_subsets(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (union_of_subsets(v3, v2) = v1) |  ~ (union_of_subsets(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (complements_of_subsets(v3, v2) = v1) |  ~ (complements_of_subsets(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_composition(v3, v2) = v1) |  ~ (relation_composition(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_restriction(v3, v2) = v1) |  ~ (relation_restriction(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset_complement(v3, v2) = v1) |  ~ (subset_complement(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_difference(v3, v2) = v1) |  ~ (set_difference(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (fiber(v3, v2) = v1) |  ~ (fiber(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v1) = v3) |  ~ (singleton(v0) = v2) |  ~ subset(v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_inverse_image(v3, v2) = v1) |  ~ (relation_inverse_image(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 |  ~ (ordered_pair(v3, v2) = v1) |  ~ (ordered_pair(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_intersection2(v3, v2) = v1) |  ~ (set_intersection2(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_union2(v3, v2) = v1) |  ~ (set_union2(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (unordered_pair(v3, v2) = v1) |  ~ (unordered_pair(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (cartesian_product2(v3, v2) = v1) |  ~ (cartesian_product2(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (meet_of_subsets(v0, v2) = v3) |  ~ (complements_of_subsets(v0, v1) = v2) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (subset_difference(v0, v6, v7) = v8 & union_of_subsets(v0, v1) = v7 & cast_to_subset(v0) = v6 & powerset(v4) = v5 & powerset(v0) = v4 & (v8 = v3 |  ~ element(v1, v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (union_of_subsets(v0, v2) = v3) |  ~ (complements_of_subsets(v0, v1) = v2) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (subset_difference(v0, v6, v7) = v8 & meet_of_subsets(v0, v1) = v7 & cast_to_subset(v0) = v6 & powerset(v4) = v5 & powerset(v0) = v4 & (v8 = v3 |  ~ element(v1, v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ subset(v1, v2) |  ~ function(v3) | quasi_total(v3, v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ subset(v1, v2) |  ~ function(v3) | relation_of2_as_subset(v3, v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v0 = empty_set |  ~ (set_meet(v0) = v1) |  ~ in(v3, v0) |  ~ in(v2, v1) | in(v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_difference(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (set_difference(v1, v2) = v5 & powerset(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_difference(v0, v1, v2) = v3) |  ? [v4] : (powerset(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v3) |  ~ relation_of2(v2, v0, v1) | relation_rng(v2) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v3) |  ~ relation_of2(v2, v0, v1) |  ? [v4] : (powerset(v1) = v4 & element(v3, v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v1) |  ~ relation_of2_as_subset(v2, v0, v1) |  ~ in(v3, v1) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v3) = v5 & in(v5, v2))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (function_inverse(v2) = v3) |  ~ relation_isomorphism(v0, v1, v2) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | relation_isomorphism(v1, v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_composition(v2, v1) = v3) |  ~ (identity_relation(v0) = v2) |  ~ relation(v1) | relation_dom_restriction(v1, v0) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_composition(v0, v2) = v3) |  ~ (relation_rng(v0) = v1) |  ~ relation(v2) |  ~ relation(v0) |  ? [v4] : (relation_rng(v3) = v4 & relation_image(v2, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_composition(v0, v2) = v3) |  ~ (relation_dom(v0) = v1) |  ~ relation(v2) |  ~ relation(v0) |  ? [v4] : (relation_dom(v3) = v4 & subset(v4, v1))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_complement(v0, v2) = v3) |  ~ in(v1, v3) |  ~ in(v1, v2) |  ? [v4] : (powerset(v0) = v4 &  ~ element(v2, v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v2, v1) = v3) |  ~ (set_union2(v0, v1) = v2) | set_difference(v0, v1) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) | set_union2(v0, v1) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v2) = v3) |  ~ (set_difference(v0, v1) = v2) | set_intersection2(v0, v1) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v1) = v2) |  ~ in(v3, v2) |  ~ in(v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v1) = v2) |  ~ in(v3, v0) | in(v3, v2) | in(v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v1) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] :  ? [v5] : (union_of_subsets(v0, v1) = v5 & powerset(v2) = v4 & (v5 = v3 |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v0) = v1) |  ~ in(v3, v0) |  ~ in(v2, v3) | in(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (meet(v0, v1, v2) = v3) |  ~ meet_semilatt_str(v0) |  ~ meet_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (meet_commut(v0, v1, v2) = v5 & the_carrier(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (meet(v0, v1, v2) = v3) |  ~ meet_semilatt_str(v0) | empty_carrier(v0) |  ? [v4] : (the_carrier(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (fiber(v0, v1) = v2) |  ~ (ordered_pair(v1, v1) = v3) |  ~ relation(v0) |  ~ in(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_meet(v1) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] :  ? [v5] : (meet_of_subsets(v0, v1) = v5 & powerset(v2) = v4 & (v5 = v3 |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join(v0, v2, v3) = v3) |  ~ (the_carrier(v0) = v1) |  ~ join_semilatt_str(v0) |  ~ element(v3, v1) |  ~ element(v2, v1) | below(v0, v2, v3) | empty_carrier(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join(v0, v1, v2) = v3) |  ~ join_semilatt_str(v0) |  ~ join_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (the_carrier(v0) = v4 & join_commut(v0, v1, v2) = v5 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join(v0, v1, v2) = v3) |  ~ join_semilatt_str(v0) | empty_carrier(v0) |  ? [v4] : (the_carrier(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_as_subset(v1, v0, v2) = v1) |  ~ relation_of2_as_subset(v2, v1, v0) |  ~ in(v3, v1) |  ? [v4] :  ? [v5] : (ordered_pair(v3, v4) = v5 & in(v5, v2))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_as_subset(v0, v1, v2) = v3) |  ~ relation_of2(v2, v0, v1) | relation_dom(v2) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_as_subset(v0, v1, v2) = v3) |  ~ relation_of2(v2, v0, v1) |  ? [v4] : (powerset(v0) = v4 & element(v3, v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v2) = v3) |  ~ relation_of2_as_subset(v2, v0, v1) | subset(v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v2) = v3) |  ~ relation_of2_as_subset(v2, v0, v1) |  ? [v4] : (relation_dom(v2) = v4 & subset(v4, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v1) = v2) |  ~ (set_intersection2(v2, v0) = v3) |  ~ relation(v1) |  ? [v4] : (relation_rng(v4) = v3 & relation_rng_restriction(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v2) |  ~ (relation_dom(v0) = v1) |  ~ (set_union2(v1, v2) = v3) |  ~ relation(v0) | relation_field(v0) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v2) |  ~ (relation_dom(v0) = v1) |  ~ (cartesian_product2(v1, v2) = v3) |  ~ relation(v0) | subset(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v1) |  ~ (relation_image(v2, v1) = v3) |  ~ relation(v2) |  ~ relation(v0) |  ? [v4] : (relation_composition(v0, v2) = v4 & relation_rng(v4) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_triple(v0, v1, v2) = v3) | in(v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_triple(v0, v1, v2) = v3) | in(v1, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_triple(v0, v1, v2) = v3) | in(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_inverse_image(v1, v2) = v3) |  ~ (relation_image(v1, v0) = v2) |  ~ relation(v1) | subset(v0, v3) |  ? [v4] : (relation_dom(v1) = v4 &  ~ subset(v0, v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_inverse_image(v1, v0) = v2) |  ~ (relation_image(v1, v2) = v3) |  ~ relation(v1) |  ~ function(v1) | subset(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_inverse_image(v0, v1) = v2) |  ~ relation(v0) |  ~ in(v3, v2) |  ? [v4] :  ? [v5] : (ordered_pair(v3, v4) = v5 & in(v5, v0) & in(v4, v1))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_field(v0) = v1) |  ~ (ordered_pair(v2, v2) = v3) |  ~ reflexive(v0) |  ~ relation(v0) |  ~ in(v2, v1) | in(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_restriction(v0, v2) = v3) |  ~ (relation_dom_restriction(v1, v0) = v2) |  ~ relation(v1) | relation_restriction(v1, v0) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ~ relation(v1) | relation_restriction(v1, v0) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom(v2) = v3) |  ~ relation_of2_as_subset(v2, v0, v1) | subset(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom(v2) = v3) |  ~ relation_of2_as_subset(v2, v0, v1) |  ? [v4] : (relation_rng(v2) = v4 & subset(v4, v1))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom(v1) = v2) |  ~ (set_intersection2(v2, v0) = v3) |  ~ relation(v1) |  ? [v4] : (relation_dom(v4) = v3 & relation_dom_restriction(v1, v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_image(v0, v1) = v2) |  ~ relation(v0) |  ~ in(v3, v2) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v3) = v5 & in(v5, v0) & in(v4, v1))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v2) = v3) |  ~ relation(v1) |  ~ in(v2, v0) | in(v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (ordered_pair(v2, v2) = v3) |  ~ is_reflexive_in(v0, v1) |  ~ relation(v0) |  ~ in(v2, v1) | in(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_intersection2(v0, v2, v1) = v3) |  ? [v4] :  ? [v5] : (subset_intersection2(v0, v1, v2) = v5 & powerset(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_intersection2(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (subset_intersection2(v0, v2, v1) = v5 & powerset(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_intersection2(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (set_intersection2(v1, v2) = v5 & powerset(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_intersection2(v0, v1, v2) = v3) |  ? [v4] : (powerset(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (meet_commut(v0, v2, v1) = v3) |  ~ meet_semilatt_str(v0) |  ~ meet_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (meet_commut(v0, v1, v2) = v5 & the_carrier(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (meet_commut(v0, v1, v2) = v3) |  ~ meet_semilatt_str(v0) |  ~ meet_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (meet(v0, v1, v2) = v5 & the_carrier(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (meet_commut(v0, v1, v2) = v3) |  ~ meet_semilatt_str(v0) |  ~ meet_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (meet_commut(v0, v2, v1) = v5 & the_carrier(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (meet_commut(v0, v1, v2) = v3) |  ~ meet_semilatt_str(v0) |  ~ meet_commutative(v0) | empty_carrier(v0) |  ? [v4] : (the_carrier(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v1, v2) = v3) |  ~ subset(v0, v2) |  ~ subset(v0, v1) | subset(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v2) = v3) |  ~ (cartesian_product2(v1, v1) = v2) |  ~ relation(v0) | relation_restriction(v0, v1) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ disjoint(v0, v1) |  ~ in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ in(v3, v1) |  ~ in(v3, v0) | in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join_commut(v0, v2, v1) = v3) |  ~ join_semilatt_str(v0) |  ~ join_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (the_carrier(v0) = v4 & join_commut(v0, v1, v2) = v5 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join_commut(v0, v1, v2) = v3) |  ~ join_semilatt_str(v0) |  ~ join_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (join(v0, v1, v2) = v5 & the_carrier(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join_commut(v0, v1, v2) = v3) |  ~ join_semilatt_str(v0) |  ~ join_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (the_carrier(v0) = v4 & join_commut(v0, v2, v1) = v5 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join_commut(v0, v1, v2) = v3) |  ~ join_semilatt_str(v0) |  ~ join_commutative(v0) | empty_carrier(v0) |  ? [v4] : (the_carrier(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v2) = v3) |  ~ subset(v2, v1) |  ~ subset(v0, v1) | subset(v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v1) | in(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v1) = v2) |  ~ in(v3, v1) | in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v1) = v2) |  ~ in(v3, v0) | in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_pair(v0, v1) = v3) |  ~ subset(v3, v2) | in(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_pair(v0, v1) = v3) |  ~ subset(v3, v2) | in(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_pair(v0, v1) = v3) |  ~ in(v1, v2) |  ~ in(v0, v2) | subset(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v2) = v3) |  ~ relation(v1) | empty(v0) |  ? [v4] : ( ! [v5] :  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v6, v7) = v5) |  ~ in(v7, v6) |  ~ in(v6, v0) |  ~ in(v5, v3) | in(v5, v4) |  ? [v8] :  ? [v9] : (ordered_pair(v7, v8) = v9 & in(v8, v6) &  ~ in(v9, v1))) &  ! [v5] : ( ~ in(v5, v4) | in(v5, v3)) &  ! [v5] : ( ~ in(v5, v4) |  ? [v6] :  ? [v7] : (ordered_pair(v6, v7) = v5 & in(v7, v6) & in(v6, v0) &  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v7, v8) = v9) |  ~ in(v8, v6) | in(v9, v1)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v1) = v3) |  ~ relation_of2(v2, v0, v1) | subset(v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v1) = v3) |  ~ relation_of2_as_subset(v2, v0, v1) |  ? [v4] : (powerset(v3) = v4 & element(v2, v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v1) = v3) |  ~ subset(v2, v3) | relation_of2(v2, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v1) = v2) |  ~ in(v3, v2) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v5) = v3 & in(v5, v1) & in(v4, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v0) = v3) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ? [v4] : ( ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (apply(v2, v7) = v9) |  ~ (apply(v2, v6) = v8) |  ~ (ordered_pair(v8, v9) = v10) |  ~ in(v10, v1) |  ~ in(v5, v3) | in(v5, v4) |  ? [v11] : ( ~ (v11 = v5) & ordered_pair(v6, v7) = v11)) &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v6, v7) = v5) |  ~ in(v5, v3) | in(v5, v4) |  ? [v8] :  ? [v9] :  ? [v10] : (apply(v2, v7) = v9 & apply(v2, v6) = v8 & ordered_pair(v8, v9) = v10 &  ~ in(v10, v1))) &  ! [v5] : ( ~ in(v5, v4) | in(v5, v3)) &  ! [v5] : ( ~ in(v5, v4) |  ? [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))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ empty(v2) |  ~ element(v1, v3) |  ~ in(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ element(v1, v3) |  ~ in(v0, v1) | element(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v2) |  ~ element(v1, v2) |  ~ in(v3, v1) | in(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ relation_of2_as_subset(v3, v2, v0) |  ~ subset(v0, v1) | relation_of2_as_subset(v3, v2, v1)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (subset_intersection2(v1, v2, v2) = v3) |  ? [v4] : (powerset(v1) = v4 & ( ~ element(v2, v4) |  ~ element(v0, v4)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v1, v2) = v3) |  ? [v4] : (( ~ in(v4, v1) |  ~ in(v4, v0) | in(v4, v2)) & (in(v4, v0) | (in(v4, v1) &  ~ in(v4, v2))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (fiber(v1, v2) = v3) |  ~ relation(v1) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v2) = v5 & (v4 = v2 |  ~ in(v5, v1) |  ~ in(v4, v0)) & (in(v4, v0) | ( ~ (v4 = v2) & in(v5, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (relation_inverse_image(v1, v2) = v3) |  ~ relation(v1) |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ in(v4, v0) |  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v4, v7) = v8) |  ~ in(v8, v1) |  ~ in(v7, v2))) & (in(v4, v0) | (ordered_pair(v4, v5) = v6 & in(v6, v1) & in(v5, v2))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (relation_image(v1, v2) = v3) |  ~ relation(v1) |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ in(v4, v0) |  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v7, v4) = v8) |  ~ in(v8, v1) |  ~ in(v7, v2))) & (in(v4, v0) | (ordered_pair(v5, v4) = v6 & in(v6, v1) & in(v5, v2))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_intersection2(v1, v2) = v3) |  ? [v4] : (( ~ in(v4, v2) |  ~ in(v4, v1) |  ~ in(v4, v0)) & (in(v4, v0) | (in(v4, v2) & in(v4, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_union2(v1, v2) = v3) |  ? [v4] : (( ~ in(v4, v0) | ( ~ in(v4, v2) &  ~ in(v4, v1))) & (in(v4, v2) | in(v4, v1) | in(v4, v0)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (unordered_pair(v1, v2) = v3) |  ? [v4] : ((v4 = v2 | v4 = v1 | in(v4, v0)) & ( ~ in(v4, v0) | ( ~ (v4 = v2) &  ~ (v4 = v1))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (cartesian_product2(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (( ~ in(v4, v0) |  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v8, v9) = v4) |  ~ in(v9, v2) |  ~ in(v8, v1))) & (in(v4, v0) | (v7 = v4 & ordered_pair(v5, v6) = v4 & in(v6, v2) & in(v5, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_composition(v2, v1) = v3) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ~ function(v1) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v3) = v4 & apply(v3, v0) = v5 & apply(v2, v0) = v6 & apply(v1, v6) = v7 & (v7 = v5 |  ~ in(v0, v4)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_restriction(v2, v1) = v3) |  ~ relation(v2) |  ? [v4] :  ? [v5] : (relation_field(v3) = v4 & relation_field(v2) = v5 & ( ~ in(v0, v4) | (in(v0, v5) & in(v0, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_restriction(v2, v1) = v3) |  ~ relation(v2) |  ? [v4] : (cartesian_product2(v1, v1) = v4 & ( ~ in(v0, v4) |  ~ in(v0, v2) | in(v0, v3)) & ( ~ in(v0, v3) | (in(v0, v4) & in(v0, v2))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_inverse_image(v2, v1) = v3) |  ~ relation(v2) |  ? [v4] :  ? [v5] :  ? [v6] : (relation_rng(v2) = v4 & ( ~ in(v0, v3) | (ordered_pair(v0, v5) = v6 & in(v6, v2) & in(v5, v4) & in(v5, v1))) & (in(v0, v3) |  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v0, v7) = v8) |  ~ in(v8, v2) |  ~ in(v7, v4) |  ~ in(v7, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_restriction(v1, v2) = v3) |  ~ relation(v2) |  ? [v4] :  ? [v5] : (relation_rng(v3) = v4 & relation_rng(v2) = v5 & ( ~ in(v0, v5) |  ~ in(v0, v1) | in(v0, v4)) & ( ~ in(v0, v4) | (in(v0, v5) & in(v0, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_image(v2, v1) = v3) |  ~ relation(v2) |  ? [v4] :  ? [v5] :  ? [v6] : (relation_dom(v2) = v4 & ( ~ in(v0, v3) | (ordered_pair(v5, v0) = v6 & in(v6, v2) & in(v5, v4) & in(v5, v1))) & (in(v0, v3) |  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v7, v0) = v8) |  ~ in(v8, v2) |  ~ in(v7, v4) |  ~ in(v7, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_restriction(v2, v1) = v3) |  ~ relation(v2) |  ~ function(v2) |  ? [v4] :  ? [v5] : (relation_dom(v3) = v4 & relation_dom(v2) = v5 & ( ~ in(v0, v5) |  ~ in(v0, v1) | in(v0, v4)) & ( ~ in(v0, v4) | (in(v0, v5) & in(v0, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_restriction(v2, v1) = v3) |  ~ relation(v2) |  ? [v4] :  ? [v5] : (relation_dom(v3) = v4 & relation_dom(v2) = v5 & ( ~ in(v0, v5) |  ~ in(v0, v1) | in(v0, v4)) & ( ~ in(v0, v4) | (in(v0, v5) & in(v0, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v1, v2) = v3) | relation(v0) |  ? [v4] : (powerset(v3) = v4 &  ~ element(v0, v4))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (relation_inverse(v0) = v1) |  ~ relation(v2) |  ~ relation(v0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (ordered_pair(v4, v3) = v6 & ordered_pair(v3, v4) = v5 & ( ~ in(v6, v0) |  ~ in(v5, v2)) & (in(v6, v0) | in(v5, v2)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (inclusion_relation(v0) = v2) |  ~ (relation_field(v1) = v0) |  ~ relation(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (ordered_pair(v3, v4) = v5 & in(v4, v0) & in(v3, v0) & ( ~ subset(v3, v4) |  ~ in(v5, v1)) & (subset(v3, v4) | in(v5, v1)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (relation_dom(v1) = v0) |  ~ (identity_relation(v0) = v2) |  ~ relation(v1) |  ~ function(v1) |  ? [v3] :  ? [v4] : ( ~ (v4 = v3) & apply(v1, v3) = v4 & in(v3, v0))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (identity_relation(v0) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (ordered_pair(v3, v4) = v5 & ( ~ (v4 = v3) |  ~ in(v5, v1) |  ~ in(v3, v0)) & (in(v5, v1) | (v4 = v3 & in(v3, v0))))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (set_union2(v0, v1) = v2) |  ~ subset(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ epsilon_connected(v0) |  ~ in(v2, v0) |  ~ in(v1, v0) | in(v2, v1) | in(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v0 = empty_set |  ~ (singleton(v1) = v2) |  ~ subset(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (set_difference(v0, v1) = v2) |  ~ disjoint(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (inclusion_relation(v0) = v1) |  ~ (relation_field(v1) = v2) |  ~ relation(v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v0) = v1) |  ~ in(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_dom(v1) = v2) |  ~ (identity_relation(v0) = v1) |  ~ relation(v1) |  ~ function(v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (set_intersection2(v0, v1) = v2) |  ~ subset(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (set_difference(v0, v1) = v2) |  ~ subset(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (relation_dom_as_subset(empty_set, v0, v1) = v2) |  ~ quasi_total(v1, empty_set, v0) |  ~ relation_of2_as_subset(v1, empty_set, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (relation_field(v0) = v1) |  ~ well_founded_relation(v0) |  ~ subset(v2, v1) |  ~ relation(v0) |  ? [v3] :  ? [v4] : (fiber(v0, v3) = v4 & disjoint(v4, v2) & in(v3, v2))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (set_intersection2(v0, v1) = v2) |  ~ disjoint(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ is_well_founded_in(v0, v1) |  ~ subset(v2, v1) |  ~ relation(v0) |  ? [v3] :  ? [v4] : (fiber(v0, v3) = v4 & disjoint(v4, v2) & in(v3, v2))) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (function_inverse(v2) = v1) |  ~ (function_inverse(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_inverse(v2) = v1) |  ~ (relation_inverse(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (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 |  ~ (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 |  ~ (inclusion_relation(v2) = v1) |  ~ (inclusion_relation(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (set_meet(v2) = v1) |  ~ (set_meet(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (singleton(v2) = v1) |  ~ (singleton(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (succ(v2) = v1) |  ~ (succ(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pair_first(v2) = v1) |  ~ (pair_first(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (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 |  ~ (relation_field(v2) = v1) |  ~ (relation_field(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 |  ~ (the_carrier(v2) = v1) |  ~ (the_carrier(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~ (powerset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = empty_set | v0 = empty_set |  ~ (relation_dom_as_subset(v0, empty_set, v1) = v2) |  ~ quasi_total(v1, v0, empty_set) |  ~ relation_of2_as_subset(v1, v0, empty_set)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = empty_set |  ~ (relation_dom_as_subset(v0, v1, v2) = v0) |  ~ relation_of2_as_subset(v2, v0, v1) | quasi_total(v2, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (meet_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (set_meet(v1) = v5 & powerset(v3) = v4 & powerset(v0) = v3 & (v5 = v2 |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (meet_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | element(v2, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (union(v1) = v5 & powerset(v3) = v4 & powerset(v0) = v3 & (v5 = v2 |  ~ element(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | element(v2, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (complements_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | element(v2, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (complements_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | ( ! [v5] :  ! [v6] : ( ~ (subset_complement(v0, v5) = v6) |  ~ element(v5, v3) |  ~ element(v2, v4) |  ~ in(v6, v1) | in(v5, v2)) &  ! [v5] :  ! [v6] : ( ~ (subset_complement(v0, v5) = v6) |  ~ element(v5, v3) |  ~ element(v2, v4) |  ~ in(v5, v2) | in(v6, v1)) &  ! [v5] : (v5 = v2 |  ~ element(v5, v4) |  ? [v6] :  ? [v7] : (subset_complement(v0, v6) = v7 & element(v6, v3) & ( ~ in(v7, v1) |  ~ in(v6, v5)) & (in(v7, v1) | in(v6, v5)))))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v1, v0) = v2) |  ~ relation(v1) |  ~ empty(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v1, v0) = v2) |  ~ relation(v1) |  ~ empty(v0) | empty(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v1) |  ~ function(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v1) |  ~ function(v0) | function(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) |  ? [v3] :  ? [v4] : (relation_rng(v2) = v3 & relation_rng(v1) = v4 & subset(v3, v4))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ empty(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ empty(v0) | empty(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ well_orders(v1, v0) |  ~ relation(v1) | relation_field(v2) = v0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ well_orders(v1, v0) |  ~ relation(v1) | well_ordering(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ reflexive(v1) |  ~ relation(v1) | reflexive(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ well_ordering(v1) |  ~ relation(v1) | well_ordering(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ well_ordering(v1) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_field(v2) = v4 & relation_field(v1) = v3 & (v4 = v0 |  ~ subset(v0, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ well_founded_relation(v1) |  ~ relation(v1) | well_founded_relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ transitive(v1) |  ~ relation(v1) | transitive(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ connected(v1) |  ~ relation(v1) | connected(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ antisymmetric(v1) |  ~ relation(v1) | antisymmetric(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_field(v2) = v3 & relation_field(v1) = v4 & subset(v3, v4) & subset(v3, v0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] : (relation_rng_restriction(v0, v3) = v2 & relation_dom_restriction(v1, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] : (relation_rng_restriction(v0, v1) = v3 & relation_dom_restriction(v3, v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) |  ~ relation(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) |  ~ relation(v0) |  ? [v3] : (set_intersection2(v0, v3) = v2 & cartesian_product2(v1, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset_complement(v0, v1) = v2) |  ? [v3] :  ? [v4] : (set_difference(v0, v1) = v4 & powerset(v0) = v3 & (v4 = v2 |  ~ element(v1, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset_complement(v0, v1) = v2) |  ? [v3] : (powerset(v0) = v3 & ( ~ element(v1, v3) | element(v2, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v2) = v0) |  ~ (singleton(v1) = v2) |  ~ in(v1, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ finite(v0) | finite(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v5_membered(v0) | v5_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v5_membered(v0) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v5_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v5_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v5_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v4_membered(v0) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v4_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v4_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v4_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v3_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v3_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v3_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v2_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v2_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v1_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) | subset(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] : (subset_complement(v0, v1) = v4 & powerset(v0) = v3 & (v4 = v2 |  ~ element(v1, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] : (set_difference(v3, v1) = v2 & set_union2(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v1) = v2) |  ~ in(v0, v1) | subset(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v0) = v1) |  ~ in(v2, v1) |  ? [v3] : (in(v3, v0) & in(v2, v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ disjoint(v2, v1) |  ~ in(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ subset(v2, v1) | in(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ in(v0, v1) | subset(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v1) |  ~ (set_union2(v0, v1) = v2) | succ(v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ~ being_limit_ordinal(v0) |  ~ ordinal(v1) |  ~ ordinal(v0) |  ~ in(v1, v0) | in(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v0) = v1) |  ~ ordinal_subset(v1, v2) |  ~ ordinal(v2) |  ~ ordinal(v0) | in(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v0) = v1) |  ~ ordinal(v2) |  ~ ordinal(v0) |  ~ in(v0, v2) | ordinal_subset(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng(v1) = v2) |  ~ relation(v1) |  ~ relation(v0) |  ? [v3] :  ? [v4] : (relation_composition(v0, v1) = v3 & relation_rng(v3) = v4 & subset(v4, v2))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ in(v2, v1) |  ? [v3] :  ? [v4] : (ordered_pair(v3, v2) = v4 & in(v4, v0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_inverse_image(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] : (relation_dom(v1) = v3 & subset(v2, v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_field(v1) = v2) |  ~ equipotent(v0, v2) |  ~ well_ordering(v1) |  ~ relation(v1) |  ? [v3] : (well_orders(v3, v0) & relation(v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) |  ~ function(v1) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) |  ~ function(v1) | function(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) | subset(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_rng(v2) = v3 & relation_rng(v1) = v4 & set_intersection2(v4, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_rng(v2) = v3 & relation_rng(v1) = v4 & subset(v3, v4))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_dom(v2) = v3 & relation_dom(v1) = v4 & subset(v3, v4))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) |  ? [v3] : (relation_rng(v2) = v3 & subset(v3, v0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v0) = v1) |  ~ (relation_image(v0, v1) = v2) |  ~ relation(v0) | relation_rng(v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ in(v2, v1) |  ? [v3] :  ? [v4] : (ordered_pair(v2, v3) = v4 & in(v4, v0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_image(v1, v0) = v2) |  ~ relation(v1) |  ~ function(v1) |  ~ finite(v0) | finite(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_image(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_dom(v1) = v3 & relation_image(v1, v4) = v2 & set_intersection2(v3, v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_image(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] : (relation_rng(v1) = v3 & subset(v2, v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_image(v0, v1) = v2) |  ~ relation(v0) |  ~ function(v0) |  ~ finite(v1) | finite(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (apply(v1, v0) = v2) |  ~ relation(v1) |  ~ function(v1) |  ? [v3] : (relation_dom(v1) = v3 &  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_composition(v1, v4) = v5) |  ~ (apply(v5, v0) = v6) |  ~ relation(v4) |  ~ function(v4) |  ~ in(v0, v3) | apply(v4, v2) = v6) &  ! [v4] :  ! [v5] : ( ~ (apply(v4, v2) = v5) |  ~ relation(v4) |  ~ function(v4) |  ~ in(v0, v3) |  ? [v6] : (relation_composition(v1, v4) = v6 & apply(v6, v0) = v5)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v1, v0) = v2) |  ~ relation(v1) | subset(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_rng(v2) = v3 & relation_rng(v1) = v4 & subset(v3, v4))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_dom(v2) = v3 & relation_dom(v1) = v4 & set_intersection2(v4, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] : (relation_composition(v3, v1) = v2 & identity_relation(v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ relation_empty_yielding(v0) |  ~ relation(v0) | relation_empty_yielding(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ relation_empty_yielding(v0) |  ~ relation(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ relation(v0) |  ~ function(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ relation(v0) |  ~ function(v0) | function(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ relation(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ~ empty(v2)) &  ! [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] :  ? [v4] : (singleton(v0) = v4 & unordered_pair(v3, v4) = v2 & unordered_pair(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v5_membered(v0) | v5_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v5_membered(v0) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v5_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v5_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v5_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v4_membered(v0) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v4_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v4_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v4_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v3_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v3_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v3_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v2_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v2_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v1_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | set_intersection2(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ finite(v1) | finite(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ finite(v0) | finite(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v5_membered(v0) | v5_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v5_membered(v0) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v5_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v5_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v5_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v4_membered(v0) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v4_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v4_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v4_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v3_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v3_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v3_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v2_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v2_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v1_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | disjoint(v0, v1) |  ? [v3] : in(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | subset(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] : (set_difference(v0, v3) = v2 & set_difference(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (the_carrier(v0) = v1) |  ~ (cartesian_product2(v1, v1) = v2) |  ~ meet_semilatt_str(v0) |  ? [v3] : (the_L_meet(v0) = v3 & quasi_total(v3, v2, v1) & relation_of2_as_subset(v3, v2, v1) & function(v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (the_carrier(v0) = v1) |  ~ (cartesian_product2(v1, v1) = v2) |  ~ join_semilatt_str(v0) |  ? [v3] : (the_L_join(v0) = v3 & quasi_total(v3, v2, v1) & relation_of2_as_subset(v3, v2, v1) & function(v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v1, v0) = v2) |  ~ empty(v2) | empty(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v1, v0) = v2) | set_union2(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) | relation(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ~ finite(v1) |  ~ finite(v0) | finite(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ~ empty(v2) | empty(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) | subset(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ? [v3] : (set_difference(v1, v0) = v3 & set_union2(v0, v3) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v1, v0) = v2) | unordered_pair(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) |  ~ empty(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | in(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | in(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) |  ~ empty(v2) | empty(v1) | empty(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) |  ? [v3] : ( ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v5, v6) = v4) |  ~ in(v5, v0) |  ~ in(v4, v2) | in(v4, v3) |  ? [v7] : ( ~ (v7 = v6) & singleton(v5) = v7)) &  ! [v4] : ( ~ in(v4, v3) | in(v4, v2)) &  ! [v4] : ( ~ in(v4, v3) |  ? [v5] :  ? [v6] : (singleton(v5) = v6 & ordered_pair(v5, v6) = v4 & in(v5, v0))))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ subset(v0, v1) | element(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ element(v0, v2) | subset(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ subset(v2, v0) | in(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ finite(v0) |  ~ element(v2, v1) | finite(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v5_membered(v0) |  ~ element(v2, v1) | v5_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v5_membered(v0) |  ~ element(v2, v1) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v5_membered(v0) |  ~ element(v2, v1) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v5_membered(v0) |  ~ element(v2, v1) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v5_membered(v0) |  ~ element(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v4_membered(v0) |  ~ element(v2, v1) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v4_membered(v0) |  ~ element(v2, v1) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v4_membered(v0) |  ~ element(v2, v1) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v4_membered(v0) |  ~ element(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v3_membered(v0) |  ~ element(v2, v1) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v3_membered(v0) |  ~ element(v2, v1) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v3_membered(v0) |  ~ element(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v2_membered(v0) |  ~ element(v2, v1) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v2_membered(v0) |  ~ element(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ element(v2, v1) |  ~ v1_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ in(v2, v1) | subset(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_isomorphism(v0, v1, v2) |  ~ reflexive(v0) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | reflexive(v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_isomorphism(v0, v1, v2) |  ~ well_ordering(v0) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | well_ordering(v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_isomorphism(v0, v1, v2) |  ~ well_founded_relation(v0) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | well_founded_relation(v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_isomorphism(v0, v1, v2) |  ~ transitive(v0) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | transitive(v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_isomorphism(v0, v1, v2) |  ~ connected(v0) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | connected(v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_isomorphism(v0, v1, v2) |  ~ antisymmetric(v0) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | antisymmetric(v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjoint(v1, v2) |  ~ subset(v0, v1) | disjoint(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjoint(v0, v1) |  ~ in(v2, v1) |  ~ in(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_of2(v2, v0, v1) | relation_of2_as_subset(v2, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ quasi_total(v2, empty_set, v0) |  ~ relation_of2_as_subset(v2, empty_set, v0) |  ~ subset(v0, v1) |  ~ function(v2) | quasi_total(v2, empty_set, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ quasi_total(v2, empty_set, v0) |  ~ relation_of2_as_subset(v2, empty_set, v0) |  ~ subset(v0, v1) |  ~ function(v2) | relation_of2_as_subset(v2, empty_set, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_of2_as_subset(v2, v0, v1) | relation_of2(v2, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subset(v1, v2) |  ~ subset(v0, v1) | subset(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subset(v0, v1) |  ~ in(v2, v0) | in(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ in(v2, v0) |  ~ in(v1, v2) |  ~ in(v0, v1)) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v1 = empty_set |  ~ (set_meet(v1) = v2) |  ? [v3] :  ? [v4] : (( ~ in(v3, v0) | (in(v4, v1) &  ~ in(v3, v4))) & (in(v3, v0) |  ! [v5] : ( ~ in(v5, v1) | in(v3, v5))))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (union(v1) = v2) |  ? [v3] :  ? [v4] : (( ~ in(v3, v0) |  ! [v5] : ( ~ in(v5, v1) |  ~ in(v3, v5))) & (in(v3, v0) | (in(v4, v1) & in(v3, v4))))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v1) = v2) |  ? [v3] : (( ~ (v3 = v1) |  ~ in(v1, v0)) & (v3 = v1 | in(v3, v0)))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_rng(v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ in(v3, v0) |  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v6, v3) = v7) |  ~ in(v7, v1))) & (in(v3, v0) | (ordered_pair(v4, v3) = v5 & in(v5, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_dom(v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ in(v3, v0) |  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v3, v6) = v7) |  ~ in(v7, v1))) & (in(v3, v0) | (ordered_pair(v3, v4) = v5 & in(v5, v1))))) &  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (powerset(v1) = v2) |  ? [v3] : (( ~ subset(v3, v1) |  ~ in(v3, v0)) & (subset(v3, v1) | in(v3, v0)))) &  ? [v0] :  ! [v1] :  ! [v2] : (v1 = empty_set |  ~ (set_meet(v1) = v2) | in(v0, v2) |  ? [v3] : (in(v3, v1) &  ~ in(v0, v3))) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v1) = v2) |  ~ ordinal(v1) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (succ(v1) = v3 & powerset(v4) = v5 & powerset(v3) = v4 & powerset(v1) = v6 & ( ~ element(v0, v5) | ( ! [v8] :  ! [v9] : ( ~ (set_difference(v9, v2) = v8) |  ~ in(v9, v0) |  ~ in(v8, v6) | in(v8, v7)) &  ! [v8] : ( ~ in(v8, v7) | in(v8, v6)) &  ! [v8] : ( ~ in(v8, v7) |  ? [v9] : (set_difference(v9, v2) = v8 & in(v9, v0))))))) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v1) = v2) | disjoint(v2, v0) | in(v1, v0)) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ~ ordinal(v1) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (singleton(v1) = v6 & powerset(v3) = v4 & powerset(v2) = v3 & powerset(v1) = v5 & ( ~ element(v0, v4) | ( ! [v8] :  ! [v9] : ( ~ (set_difference(v9, v6) = v8) |  ~ in(v9, v0) |  ~ in(v8, v5) | in(v8, v7)) &  ! [v8] : ( ~ in(v8, v7) | in(v8, v5)) &  ! [v8] : ( ~ in(v8, v7) |  ? [v9] : (set_difference(v9, v6) = v8 & in(v9, v0))))))) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ~ ordinal(v1) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (singleton(v1) = v5 & powerset(v3) = v4 & powerset(v2) = v3 & powerset(v1) = v6 & ( ~ element(v0, v4) | ( ! [v8] :  ! [v9] : ( ~ (set_difference(v9, v5) = v8) |  ~ in(v9, v0) |  ~ in(v8, v6) | in(v8, v7)) &  ! [v8] : ( ~ in(v8, v7) | in(v8, v6)) &  ! [v8] : ( ~ in(v8, v7) |  ? [v9] : (set_difference(v9, v5) = v8 & in(v9, v0))))))) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ~ ordinal(v1) |  ? [v3] : ( ! [v4] : ( ~ ordinal(v4) |  ~ in(v4, v2) |  ~ in(v4, v0) | in(v4, v3)) &  ! [v4] : ( ~ in(v4, v3) | in(v4, v2)) &  ! [v4] : ( ~ in(v4, v3) | (ordinal(v4) & in(v4, v0))))) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng(v2) = v1) |  ~ one_to_one(v2) |  ~ relation(v2) |  ~ function(v2) | equipotent(v0, v1) |  ? [v3] : ( ~ (v3 = v0) & relation_dom(v2) = v3)) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v2) = v1) |  ~ one_to_one(v2) |  ~ relation(v2) |  ~ function(v2) | equipotent(v1, v0) |  ? [v3] : ( ~ (v3 = v0) & relation_rng(v2) = v3)) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v1) = v2) |  ~ relation(v1) |  ~ function(v1) |  ~ in(v2, omega) | finite(v0) |  ? [v3] : ( ~ (v3 = v0) & relation_rng(v1) = v3)) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ ordinal(v1) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (singleton(v1) = v6 & succ(v1) = v3 & powerset(v4) = v5 & powerset(v3) = v4 & ( ~ element(v0, v5) | ( ! [v8] :  ! [v9] : ( ~ (set_difference(v9, v6) = v8) |  ~ in(v9, v0) |  ~ in(v8, v2) | in(v8, v7)) &  ! [v8] : ( ~ in(v8, v7) | in(v8, v2)) &  ! [v8] : ( ~ in(v8, v7) |  ? [v9] : (set_difference(v9, v6) = v8 & in(v9, v0))))))) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) | element(v0, v2) |  ? [v3] : (in(v3, v0) &  ~ in(v3, v1))) &  ? [v0] :  ! [v1] :  ! [v2] : ( ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ? [v3] : (relation(v3) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (apply(v2, v5) = v7) |  ~ (apply(v2, v4) = v6) |  ~ (ordered_pair(v6, v7) = v8) |  ~ in(v8, v1) |  ~ in(v5, v0) |  ~ in(v4, v0) |  ? [v9] : (ordered_pair(v4, v5) = v9 & in(v9, v3))) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (apply(v2, v5) = v7) |  ~ (apply(v2, v4) = v6) |  ~ (ordered_pair(v6, v7) = v8) | in(v8, v1) |  ? [v9] : (ordered_pair(v4, v5) = v9 &  ~ in(v9, v3))) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (apply(v2, v5) = v7) |  ~ (apply(v2, v4) = v6) |  ~ (ordered_pair(v6, v7) = v8) | in(v5, v0) |  ? [v9] : (ordered_pair(v4, v5) = v9 &  ~ in(v9, v3))) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (apply(v2, v5) = v7) |  ~ (apply(v2, v4) = v6) |  ~ (ordered_pair(v6, v7) = v8) | in(v4, v0) |  ? [v9] : (ordered_pair(v4, v5) = v9 &  ~ in(v9, v3))) &  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v4, v5) = v6) |  ~ in(v6, v3) | in(v5, v0)) &  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v4, v5) = v6) |  ~ in(v6, v3) | in(v4, v0)) &  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v4, v5) = v6) |  ~ in(v6, v3) |  ? [v7] :  ? [v8] :  ? [v9] : (apply(v2, v5) = v8 & apply(v2, v4) = v7 & ordered_pair(v7, v8) = v9 & in(v9, v1))) &  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v4, v5) = v6) |  ~ in(v5, v0) |  ~ in(v4, v0) | in(v6, v3) |  ? [v7] :  ? [v8] :  ? [v9] : (apply(v2, v5) = v8 & apply(v2, v4) = v7 & ordered_pair(v7, v8) = v9 &  ~ in(v9, v1))))) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_difference(v0, empty_set) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (union(v0) = v1) |  ~ being_limit_ordinal(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (cast_to_subset(v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_intersection2(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, empty_set) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ subset(v1, v0) |  ~ subset(v0, v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ subset(v0, v1) | proper_subset(v0, v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ relation(v1) |  ~ relation(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (ordered_pair(v2, v3) = v4 & ( ~ in(v4, v1) |  ~ in(v4, v0)) & (in(v4, v1) | in(v4, v0)))) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ ordinal(v1) |  ~ ordinal(v0) | in(v1, v0) | in(v0, v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ empty(v1) |  ~ empty(v0)) &  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (complements_of_subsets(v0, v1) = empty_set) |  ? [v2] :  ? [v3] : (powerset(v2) = v3 & powerset(v0) = v2 &  ~ element(v1, v3))) &  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_difference(empty_set, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_intersection2(v0, empty_set) = v1)) &  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ (relation_dom_as_subset(v0, empty_set, empty_set) = v1) |  ~ relation_of2_as_subset(empty_set, v0, empty_set) | quasi_total(empty_set, v0, empty_set)) &  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : ( ~ (v2 = empty_set) & relation_dom(v0) = v2)) &  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ (relation_inverse_image(v1, v0) = empty_set) |  ~ relation(v1) |  ? [v2] : (relation_rng(v1) = v2 &  ~ subset(v0, v2))) &  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] : ( ~ (v2 = empty_set) & relation_rng(v0) = v2)) &  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ subset(v0, v1) |  ~ ordinal(v1) |  ? [v2] : (ordinal(v2) & in(v2, v0) &  ! [v3] : ( ~ ordinal(v3) |  ~ in(v3, v0) | ordinal_subset(v2, v3)))) &  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) | relation_inverse(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) | one_to_one(v1)) &  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] :  ? [v3] : (relation_rng(v1) = v3 & relation_rng(v0) = v2 & relation_dom(v1) = v2 & relation_dom(v0) = v3)) &  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] :  ? [v3] : (relation_rng(v0) = v2 & relation_dom(v0) = v3 &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v6 |  ~ (relation_dom(v1) = v4) |  ~ (apply(v1, v5) = v7) |  ~ (apply(v0, v6) = v5) |  ~ relation(v1) |  ~ function(v1) |  ~ in(v6, v3)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v5 |  ~ (relation_dom(v1) = v4) |  ~ (apply(v1, v5) = v6) |  ~ (apply(v0, v6) = v7) |  ~ relation(v1) |  ~ function(v1) |  ~ in(v5, v2)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_dom(v1) = v4) |  ~ (apply(v1, v5) = v7) |  ~ (apply(v0, v6) = v5) |  ~ relation(v1) |  ~ function(v1) |  ~ in(v6, v3) | in(v5, v2)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_dom(v1) = v4) |  ~ (apply(v1, v5) = v6) |  ~ (apply(v0, v6) = v7) |  ~ relation(v1) |  ~ function(v1) |  ~ in(v5, v2) | in(v6, v3)) &  ! [v4] : (v4 = v2 |  ~ (relation_dom(v1) = v4) |  ~ relation(v1) |  ~ function(v1)) &  ! [v4] : (v4 = v1 |  ~ (relation_dom(v4) = v2) |  ~ relation(v4) |  ~ function(v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (apply(v4, v5) = v7 & apply(v0, v6) = v8 & ((v8 = v5 & in(v6, v3) & ( ~ (v7 = v6) |  ~ in(v5, v2))) | (v7 = v6 & in(v5, v2) & ( ~ (v8 = v5) |  ~ in(v6, v3)))))))) &  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ~ relation(v0) |  ~ function(v0) | relation(v1)) &  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ~ relation(v0) |  ~ function(v0) | function(v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) | function_inverse(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) | relation(v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) | function(v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ relation(v0) | relation_inverse(v1) = v0) &  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ relation(v0) | relation(v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ relation(v0) |  ? [v2] :  ? [v3] : (relation_rng(v1) = v3 & relation_rng(v0) = v2 & relation_dom(v1) = v2 & relation_dom(v0) = v3)) &  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ empty(v0) | relation(v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ empty(v0) | empty(v1)) &  ! [v0] :  ! [v1] : ( ~ (set_difference(v0, v1) = v0) | disjoint(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (set_difference(v0, v1) = empty_set) | subset(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (union(v0) = v1) |  ~ ordinal(v0) | epsilon_connected(v1)) &  ! [v0] :  ! [v1] : ( ~ (union(v0) = v1) |  ~ ordinal(v0) | epsilon_transitive(v1)) &  ! [v0] :  ! [v1] : ( ~ (union(v0) = v1) |  ~ ordinal(v0) | ordinal(v1)) &  ! [v0] :  ! [v1] : ( ~ (cast_to_subset(v0) = v1) |  ? [v2] : (powerset(v0) = v2 & element(v1, v2))) &  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ~ one_sorted_str(v0) | the_carrier(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ~ one_sorted_str(v0) |  ? [v2] :  ? [v3] : (the_carrier(v0) = v2 & powerset(v2) = v3 & element(v1, v3))) &  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ~ one_sorted_str(v0) |  ? [v2] :  ? [v3] : (the_carrier(v0) = v2 & powerset(v2) = v3 &  ! [v4] :  ! [v5] : (v5 = v4 |  ~ (subset_intersection2(v2, v4, v1) = v5) |  ~ element(v4, v3)))) &  ! [v0] :  ! [v1] : ( ~ (the_L_meet(v0) = v1) |  ~ meet_semilatt_str(v0) | empty_carrier(v0) |  ? [v2] : (the_carrier(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (meet(v0, v3, v4) = v5) |  ~ element(v4, v2) |  ~ element(v3, v2) | apply_binary_as_element(v2, v2, v2, v1, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (apply_binary_as_element(v2, v2, v2, v1, v3, v4) = v5) |  ~ element(v4, v2) |  ~ element(v3, v2) | meet(v0, v3, v4) = v5))) &  ! [v0] :  ! [v1] : ( ~ (the_L_meet(v0) = v1) |  ~ meet_semilatt_str(v0) | function(v1)) &  ! [v0] :  ! [v1] : ( ~ (the_L_meet(v0) = v1) |  ~ meet_semilatt_str(v0) |  ? [v2] :  ? [v3] : (the_carrier(v0) = v2 & cartesian_product2(v2, v2) = v3 & quasi_total(v1, v3, v2) & relation_of2_as_subset(v1, v3, v2))) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) |  ~ ordinal(v0) | well_ordering(v1)) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) |  ~ ordinal(v0) | well_founded_relation(v1)) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) |  ~ ordinal(v0) | connected(v1)) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | reflexive(v1)) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | transitive(v1)) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | antisymmetric(v1)) &  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | relation(v1)) &  ! [v0] :  ! [v1] : ( ~ (singleton(v1) = v0) | subset(v0, v0)) &  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) |  ~ empty(v1)) &  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | unordered_pair(v0, v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | subset(empty_set, v1)) &  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | finite(v1)) &  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (succ(v1) = v0) |  ~ being_limit_ordinal(v0) |  ~ ordinal(v1) |  ~ ordinal(v0)) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ~ empty(v1) |  ~ natural(v0)) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ~ empty(v1)) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ~ natural(v0) | epsilon_connected(v1)) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ~ natural(v0) | epsilon_transitive(v1)) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ~ natural(v0) | ordinal(v1)) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ~ natural(v0) | natural(v1)) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) | epsilon_connected(v1)) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) | epsilon_transitive(v1)) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) | ordinal(v1)) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ? [v2] : ( ! [v3] :  ! [v4] : ( ~ (powerset(v3) = v4) |  ~ ordinal(v3) |  ~ in(v3, v1) | in(v3, v2) | in(v3, omega)) &  ! [v3] :  ! [v4] : ( ~ (powerset(v3) = v4) |  ~ ordinal(v3) |  ~ in(v3, v1) | in(v3, v2) |  ? [v5] :  ? [v6] : ( ~ (v6 = empty_set) & powerset(v4) = v5 & element(v6, v5) &  ! [v7] : ( ~ in(v7, v6) |  ? [v8] : ( ~ (v8 = v7) & subset(v7, v8) & in(v8, v6))))) &  ! [v3] : ( ~ in(v3, v2) | in(v3, v1)) &  ! [v3] : ( ~ in(v3, v2) |  ? [v4] :  ? [v5] : (powerset(v4) = v5 & powerset(v3) = v4 & ordinal(v3) & ( ~ in(v3, omega) |  ! [v6] : (v6 = empty_set |  ~ element(v6, v5) |  ? [v7] : (in(v7, v6) &  ! [v8] : (v8 = v7 |  ~ subset(v7, v8) |  ~ in(v8, v6))))))))) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ empty(v1)) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) | in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ? [v2] : (singleton(v0) = v2 & set_union2(v0, v2) = v1)) &  ! [v0] :  ! [v1] : ( ~ (the_L_join(v0) = v1) |  ~ join_semilatt_str(v0) | empty_carrier(v0) |  ? [v2] : (the_carrier(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (join(v0, v3, v4) = v5) |  ~ element(v4, v2) |  ~ element(v3, v2) | apply_binary_as_element(v2, v2, v2, v1, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (apply_binary_as_element(v2, v2, v2, v1, v3, v4) = v5) |  ~ element(v4, v2) |  ~ element(v3, v2) | join(v0, v3, v4) = v5))) &  ! [v0] :  ! [v1] : ( ~ (the_L_join(v0) = v1) |  ~ join_semilatt_str(v0) | function(v1)) &  ! [v0] :  ! [v1] : ( ~ (the_L_join(v0) = v1) |  ~ join_semilatt_str(v0) |  ? [v2] :  ? [v3] : (the_carrier(v0) = v2 & cartesian_product2(v2, v2) = v3 & quasi_total(v1, v3, v2) & relation_of2_as_subset(v1, v3, v2))) &  ! [v0] :  ! [v1] : ( ~ (relation_dom_as_subset(empty_set, v0, v1) = empty_set) |  ~ relation_of2_as_subset(v1, empty_set, v0) | quasi_total(v1, empty_set, v0)) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v1) = v0) |  ~ relation(v1) |  ~ function(v1) | finite(v0) |  ? [v2] : (relation_dom(v1) = v2 &  ~ in(v2, omega))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] :  ? [v3] : (function_inverse(v0) = v2 & relation_rng(v2) = v3 & relation_dom(v2) = v1 & relation_dom(v0) = v3)) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] :  ? [v3] : (function_inverse(v0) = v2 & relation_dom(v0) = v3 &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v6 |  ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v7) |  ~ (apply(v0, v6) = v5) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v6, v3)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v5 |  ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v6) |  ~ (apply(v0, v6) = v7) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v5, v1)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v7) |  ~ (apply(v0, v6) = v5) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v6, v3) | in(v5, v1)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v6) |  ~ (apply(v0, v6) = v7) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v5, v1) | in(v6, v3)) &  ! [v4] : (v4 = v2 |  ~ (relation_dom(v4) = v1) |  ~ relation(v4) |  ~ function(v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (apply(v4, v5) = v7 & apply(v0, v6) = v8 & ((v8 = v5 & in(v6, v3) & ( ~ (v7 = v6) |  ~ in(v5, v1))) | (v7 = v6 & in(v5, v1) & ( ~ (v8 = v5) |  ~ in(v6, v3)))))) &  ! [v4] : (v4 = v1 |  ~ (relation_dom(v2) = v4) |  ~ relation(v2) |  ~ function(v2)))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ function(v0) | finite(v1) |  ? [v2] : (relation_dom(v0) = v2 &  ~ finite(v2))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] : (relation_dom(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (apply(v0, v4) = v3) |  ~ in(v4, v2) | in(v3, v1)) &  ! [v3] : ( ~ in(v3, v1) |  ? [v4] : (apply(v0, v4) = v3 & in(v4, v2))) &  ? [v3] : (v3 = v1 |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ in(v4, v3) |  ! [v7] : ( ~ (apply(v0, v7) = v4) |  ~ in(v7, v2))) & (in(v4, v3) | (v6 = v4 & apply(v0, v5) = v4 & in(v5, v2))))))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ empty(v1) | empty(v0)) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] :  ? [v3] : (relation_inverse(v0) = v2 & relation_rng(v2) = v3 & relation_dom(v2) = v1 & relation_dom(v0) = v3)) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_dom(v0) = v2 & relation_image(v0, v2) = v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_dom(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_composition(v3, v0) = v4) |  ~ relation(v3) |  ? [v5] :  ? [v6] : (relation_rng(v4) = v6 & relation_rng(v3) = v5 & (v6 = v1 |  ~ subset(v2, v5)))) &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ subset(v2, v4) |  ~ relation(v3) |  ? [v5] : (relation_composition(v3, v0) = v5 & relation_rng(v5) = v1)))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_dom(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_composition(v0, v3) = v4) |  ~ relation(v3) |  ? [v5] :  ? [v6] : (relation_dom(v4) = v6 & relation_dom(v3) = v5 & (v6 = v2 |  ~ subset(v1, v5)))) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ subset(v1, v4) |  ~ relation(v3) |  ? [v5] : (relation_composition(v0, v3) = v5 & relation_dom(v5) = v2)))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_dom(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) | subset(v1, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) |  ? [v5] : (relation_dom(v3) = v5 & subset(v2, v5))) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) | subset(v2, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) |  ? [v5] : (relation_rng(v3) = v5 & subset(v1, v5))))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_dom(v0) = v2 & ( ~ (v2 = empty_set) | v1 = empty_set) & ( ~ (v1 = empty_set) | v2 = empty_set))) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ empty(v0) | relation(v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ empty(v0) | empty(v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ well_orders(v0, v1) |  ~ relation(v0) | well_ordering(v0)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ reflexive(v0) |  ~ relation(v0) | is_reflexive_in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ well_ordering(v0) |  ~ relation(v0) | well_orders(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ is_well_founded_in(v0, v1) |  ~ relation(v0) | well_founded_relation(v0)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ well_founded_relation(v0) |  ~ relation(v0) | is_well_founded_in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ is_reflexive_in(v0, v1) |  ~ relation(v0) | reflexive(v0)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ is_transitive_in(v0, v1) |  ~ relation(v0) | transitive(v0)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ transitive(v0) |  ~ relation(v0) | is_transitive_in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ is_connected_in(v0, v1) |  ~ relation(v0) | connected(v0)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ connected(v0) |  ~ relation(v0) | is_connected_in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ is_antisymmetric_in(v0, v1) |  ~ relation(v0) | antisymmetric(v0)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ antisymmetric(v0) |  ~ relation(v0) | is_antisymmetric_in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ relation(v0) | reflexive(v0) |  ? [v2] :  ? [v3] : (ordered_pair(v2, v2) = v3 & in(v2, v1) &  ~ in(v3, v0))) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ relation(v0) | well_founded_relation(v0) |  ? [v2] : ( ~ (v2 = empty_set) & subset(v2, v1) &  ! [v3] :  ! [v4] : ( ~ (fiber(v0, v3) = v4) |  ~ disjoint(v4, v2) |  ~ in(v3, v2)))) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ relation(v0) | connected(v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v3 = v2) & ordered_pair(v3, v2) = v5 & ordered_pair(v2, v3) = v4 & in(v3, v1) & in(v2, v1) &  ~ in(v5, v0) &  ~ in(v4, v0))) &  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ relation(v0) |  ? [v2] :  ? [v3] : (relation_rng(v0) = v3 & relation_dom(v0) = v2 & set_union2(v2, v3) = v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] :  ? [v3] : (function_inverse(v0) = v3 & relation_rng(v3) = v1 & relation_rng(v0) = v2 & relation_dom(v3) = v2)) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] :  ? [v3] : (function_inverse(v0) = v2 & relation_rng(v0) = v3 &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v6 |  ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v7) |  ~ (apply(v0, v6) = v5) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v6, v1)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v5 |  ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v6) |  ~ (apply(v0, v6) = v7) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v5, v3)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v7) |  ~ (apply(v0, v6) = v5) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v6, v1) | in(v5, v3)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v6) |  ~ (apply(v0, v6) = v7) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v5, v3) | in(v6, v1)) &  ! [v4] : (v4 = v3 |  ~ (relation_dom(v2) = v4) |  ~ relation(v2) |  ~ function(v2)) &  ! [v4] : (v4 = v2 |  ~ (relation_dom(v4) = v3) |  ~ relation(v4) |  ~ function(v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (apply(v4, v5) = v7 & apply(v0, v6) = v8 & ((v8 = v5 & in(v6, v1) & ( ~ (v7 = v6) |  ~ in(v5, v3))) | (v7 = v6 & in(v5, v3) & ( ~ (v8 = v5) |  ~ in(v6, v1)))))))) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ function(v0) |  ~ finite(v1) |  ? [v2] : (relation_rng(v0) = v2 & finite(v2))) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ function(v0) | one_to_one(v0) |  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v3 = v2) & apply(v0, v3) = v4 & apply(v0, v2) = v4 & in(v3, v1) & in(v2, v1))) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] : (relation_rng(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (apply(v0, v4) = v3) |  ~ in(v4, v1) | in(v3, v2)) &  ! [v3] : ( ~ in(v3, v2) |  ? [v4] : (apply(v0, v4) = v3 & in(v4, v1))) &  ? [v3] : (v3 = v2 |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ in(v4, v3) |  ! [v7] : ( ~ (apply(v0, v7) = v4) |  ~ in(v7, v1))) & (in(v4, v3) | (v6 = v4 & apply(v0, v5) = v4 & in(v5, v1))))))) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ empty(v1) | empty(v0)) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] :  ? [v3] : (relation_inverse(v0) = v3 & relation_rng(v3) = v1 & relation_rng(v0) = v2 & relation_dom(v3) = v2)) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_rng(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_composition(v3, v0) = v4) |  ~ relation(v3) |  ? [v5] :  ? [v6] : (relation_rng(v4) = v6 & relation_rng(v3) = v5 & (v6 = v2 |  ~ subset(v1, v5)))) &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ subset(v1, v4) |  ~ relation(v3) |  ? [v5] : (relation_composition(v3, v0) = v5 & relation_rng(v5) = v2)))) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_rng(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_composition(v0, v3) = v4) |  ~ relation(v3) |  ? [v5] :  ? [v6] : (relation_dom(v4) = v6 & relation_dom(v3) = v5 & (v6 = v1 |  ~ subset(v2, v5)))) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ subset(v2, v4) |  ~ relation(v3) |  ? [v5] : (relation_composition(v0, v3) = v5 & relation_dom(v5) = v1)))) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_rng(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) | subset(v2, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) |  ? [v5] : (relation_dom(v3) = v5 & subset(v1, v5))) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) | subset(v1, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) |  ? [v5] : (relation_rng(v3) = v5 & subset(v2, v5))))) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_rng(v0) = v2 & ( ~ (v2 = empty_set) | v1 = empty_set) & ( ~ (v1 = empty_set) | v2 = empty_set))) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ empty(v0) | relation(v1)) &  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ empty(v0) | empty(v1)) &  ! [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)) &  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | function(v1)) &  ! [v0] :  ! [v1] : ( ~ (set_intersection2(v0, v1) = empty_set) | disjoint(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ latt_str(v0) | meet_absorbing(v0) | empty_carrier(v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v5 = v3) & meet(v0, v2, v3) = v4 & join(v0, v4, v3) = v5 & element(v3, v1) & element(v2, v1))) &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ one_sorted_str(v0) |  ~ empty(v1) | empty_carrier(v0)) &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ one_sorted_str(v0) | cast_as_carrier_subset(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ one_sorted_str(v0) | empty_carrier(v0) |  ? [v2] :  ? [v3] : (powerset(v1) = v2 & element(v3, v2) &  ~ empty(v3))) &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ one_sorted_str(v0) |  ? [v2] :  ? [v3] : (cast_as_carrier_subset(v0) = v3 & powerset(v1) = v2 &  ! [v4] :  ! [v5] : (v5 = v4 |  ~ (subset_intersection2(v1, v4, v3) = v5) |  ~ element(v4, v2)))) &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ one_sorted_str(v0) |  ? [v2] :  ? [v3] : (cast_as_carrier_subset(v0) = v2 & powerset(v1) = v3 & element(v2, v3))) &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ meet_semilatt_str(v0) | empty_carrier(v0) |  ? [v2] : (the_L_meet(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (meet(v0, v3, v4) = v5) |  ~ element(v4, v1) |  ~ element(v3, v1) | apply_binary_as_element(v1, v1, v1, v2, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (apply_binary_as_element(v1, v1, v1, v2, v3, v4) = v5) |  ~ element(v4, v1) |  ~ element(v3, v1) | meet(v0, v3, v4) = v5))) &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ meet_semilatt_str(v0) |  ? [v2] :  ? [v3] : (the_L_meet(v0) = v2 & cartesian_product2(v1, v1) = v3 & quasi_total(v2, v3, v1) & relation_of2_as_subset(v2, v3, v1) & function(v2))) &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ join_semilatt_str(v0) | empty_carrier(v0) |  ? [v2] : (the_L_join(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (join(v0, v3, v4) = v5) |  ~ element(v4, v1) |  ~ element(v3, v1) | apply_binary_as_element(v1, v1, v1, v2, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (apply_binary_as_element(v1, v1, v1, v2, v3, v4) = v5) |  ~ element(v4, v1) |  ~ element(v3, v1) | join(v0, v3, v4) = v5))) &  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ join_semilatt_str(v0) |  ? [v2] :  ? [v3] : (the_L_join(v0) = v2 & cartesian_product2(v1, v1) = v3 & quasi_total(v2, v3, v1) & relation_of2_as_subset(v2, v3, v1) & function(v2))) &  ! [v0] :  ! [v1] : ( ~ (unordered_pair(v0, v0) = v1) | singleton(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ finite(v0) |  ? [v2] : (powerset(v1) = v2 &  ! [v3] : (v3 = empty_set |  ~ element(v3, v2) |  ? [v4] : (in(v4, v3) &  ! [v5] : (v5 = v4 |  ~ subset(v4, v5) |  ~ in(v5, v3)))))) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ empty(v1)) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | union(v1) = v0) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | diff_closed(v1)) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | cup_closed(v1)) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | preboolean(v1)) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) |  ? [v2] : (finite(v2) & element(v2, v1) &  ~ empty(v2))) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) |  ? [v2] : (element(v2, v1) &  ~ empty(v2))) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (cast_to_subset(v0) = v2 & element(v2, v1))) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (one_to_one(v2) & relation(v2) & function(v2) & finite(v2) & epsilon_connected(v2) & epsilon_transitive(v2) & ordinal(v2) & empty(v2) & natural(v2) & element(v2, v1))) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (empty(v2) & element(v2, v1))) &  ! [v0] :  ! [v1] : ( ~ are_equipotent(v0, v1) | equipotent(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ well_orders(v0, v1) |  ~ relation(v0) | is_well_founded_in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ well_orders(v0, v1) |  ~ relation(v0) | is_reflexive_in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ well_orders(v0, v1) |  ~ relation(v0) | is_transitive_in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ well_orders(v0, v1) |  ~ relation(v0) | is_connected_in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ well_orders(v0, v1) |  ~ relation(v0) | is_antisymmetric_in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ equipotent(v0, v1) | are_equipotent(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ equipotent(v0, v1) | equipotent(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ equipotent(v0, v1) |  ? [v2] : (relation_rng(v2) = v1 & relation_dom(v2) = v0 & one_to_one(v2) & relation(v2) & function(v2))) &  ! [v0] :  ! [v1] : ( ~ is_well_founded_in(v0, v1) |  ~ is_reflexive_in(v0, v1) |  ~ is_transitive_in(v0, v1) |  ~ is_connected_in(v0, v1) |  ~ is_antisymmetric_in(v0, v1) |  ~ relation(v0) | well_orders(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ disjoint(v0, v1) | disjoint(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ subset(v0, v1) |  ~ finite(v1) | finite(v0)) &  ! [v0] :  ! [v1] : ( ~ subset(v0, v1) |  ~ ordinal(v1) |  ~ ordinal(v0) | ordinal_subset(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ subset(v0, v1) |  ~ proper_subset(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ ordinal_subset(v0, v1) |  ~ ordinal(v1) |  ~ ordinal(v0) | subset(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ relation(v1) |  ~ relation(v0) | subset(v0, v1) |  ? [v2] :  ? [v3] :  ? [v4] : (ordered_pair(v2, v3) = v4 & in(v4, v0) &  ~ in(v4, v1))) &  ! [v0] :  ! [v1] : ( ~ relation(v0) |  ~ in(v1, v0) |  ? [v2] :  ? [v3] : ordered_pair(v2, v3) = v1) &  ! [v0] :  ! [v1] : ( ~ epsilon_transitive(v0) |  ~ ordinal(v1) |  ~ proper_subset(v0, v1) | in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ epsilon_transitive(v0) |  ~ in(v1, v0) | subset(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ ordinal(v1) |  ~ ordinal(v0) | ordinal_subset(v1, v0) | ordinal_subset(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ ordinal(v1) |  ~ ordinal(v0) | ordinal_subset(v0, v0)) &  ! [v0] :  ! [v1] : ( ~ ordinal(v1) |  ~ in(v1, v0) |  ? [v2] : (ordinal(v2) & in(v2, v0) &  ! [v3] : ( ~ ordinal(v3) |  ~ in(v3, v0) | ordinal_subset(v2, v3)))) &  ! [v0] :  ! [v1] : ( ~ ordinal(v1) |  ~ in(v0, v1) | ordinal(v0)) &  ! [v0] :  ! [v1] : ( ~ ordinal(v0) |  ~ element(v1, v0) | epsilon_connected(v1)) &  ! [v0] :  ! [v1] : ( ~ ordinal(v0) |  ~ element(v1, v0) | epsilon_transitive(v1)) &  ! [v0] :  ! [v1] : ( ~ ordinal(v0) |  ~ element(v1, v0) | ordinal(v1)) &  ! [v0] :  ! [v1] : ( ~ empty(v1) |  ~ empty(v0) | element(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ empty(v1) |  ~ in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ empty(v0) |  ~ element(v1, v0) | empty(v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ element(v1, v0) | natural(v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ element(v1, v0) | v1_int_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ element(v1, v0) | v1_rat_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ element(v1, v0) | v1_xreal_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ element(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ element(v1, v0) | v1_int_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ element(v1, v0) | v1_rat_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ element(v1, v0) | v1_xreal_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ element(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ element(v1, v0) | v1_rat_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ element(v1, v0) | v1_xreal_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ element(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ element(v1, v0) | v1_xreal_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ element(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ element(v1, v0) |  ~ v1_membered(v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ element(v1, v0) | empty(v0) | in(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ element(v0, v1) | empty(v1) | in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ proper_subset(v1, v0) |  ~ proper_subset(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ proper_subset(v0, v1) | subset(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ in(v1, v0) |  ~ in(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ in(v1, v0) | empty(v0) | element(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ in(v0, v1) | element(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ in(v0, v1) |  ? [v2] : (in(v2, v1) &  ! [v3] : ( ~ in(v3, v2) |  ~ in(v3, v1)))) &  ? [v0] :  ! [v1] : ( ~ relation(v1) | is_well_founded_in(v1, v0) |  ? [v2] : ( ~ (v2 = empty_set) & subset(v2, v0) &  ! [v3] :  ! [v4] : ( ~ (fiber(v1, v3) = v4) |  ~ disjoint(v4, v2) |  ~ in(v3, v2)))) &  ? [v0] :  ! [v1] : ( ~ relation(v1) | is_reflexive_in(v1, v0) |  ? [v2] :  ? [v3] : (ordered_pair(v2, v2) = v3 & in(v2, v0) &  ~ in(v3, v1))) &  ? [v0] :  ! [v1] : ( ~ relation(v1) | is_transitive_in(v1, v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (ordered_pair(v3, v4) = v6 & ordered_pair(v2, v4) = v7 & ordered_pair(v2, v3) = v5 & in(v6, v1) & in(v5, v1) & in(v4, v0) & in(v3, v0) & in(v2, v0) &  ~ in(v7, v1))) &  ? [v0] :  ! [v1] : ( ~ relation(v1) | is_connected_in(v1, v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v3 = v2) & ordered_pair(v3, v2) = v5 & ordered_pair(v2, v3) = v4 & in(v3, v0) & in(v2, v0) &  ~ in(v5, v1) &  ~ in(v4, v1))) &  ? [v0] :  ! [v1] : ( ~ relation(v1) | is_antisymmetric_in(v1, v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v3 = v2) & ordered_pair(v3, v2) = v5 & ordered_pair(v2, v3) = v4 & in(v5, v1) & in(v4, v1) & in(v3, v0) & in(v2, v0))) &  ? [v0] :  ! [v1] : ( ~ relation(v1) | empty(v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ((v6 = v2 & v5 = v2 &  ~ (v4 = v3) & in(v4, v2) & in(v3, v2) & in(v2, v0) &  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v4, v7) = v8) |  ~ in(v7, v2) | in(v8, v1)) &  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v3, v7) = v8) |  ~ in(v7, v2) | in(v8, v1))) | (v3 = v0 & relation_dom(v2) = v0 & relation(v2) & function(v2) &  ! [v7] :  ! [v8] : ( ~ (apply(v2, v7) = v8) |  ~ in(v7, v0) | (in(v8, v7) &  ! [v9] :  ! [v10] : ( ~ (ordered_pair(v8, v9) = v10) |  ~ in(v9, v7) | in(v10, v1))))) | (in(v2, v0) &  ! [v7] : ( ~ in(v7, v2) |  ? [v8] :  ? [v9] : (ordered_pair(v7, v8) = v9 & in(v8, v2) &  ~ in(v9, v1)))))) &  ? [v0] :  ! [v1] : ( ~ relation(v1) | empty(v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ((v6 = v2 & v5 = v2 &  ~ (v4 = v3) & in(v4, v2) & in(v3, v2) & in(v2, v0) &  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v4, v7) = v8) |  ~ in(v7, v2) | in(v8, v1)) &  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v3, v7) = v8) |  ~ in(v7, v2) | in(v8, v1))) | (relation(v2) & function(v2) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v7, v8) = v9) |  ~ in(v9, v2) | in(v7, v0)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v7, v8) = v9) |  ~ in(v9, v2) | (in(v8, v7) &  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v8, v10) = v11) |  ~ in(v10, v7) | in(v11, v1)))) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v7, v8) = v9) |  ~ in(v8, v7) |  ~ in(v7, v0) | in(v9, v2) |  ? [v10] :  ? [v11] : (ordered_pair(v8, v10) = v11 & in(v10, v7) &  ~ in(v11, v1)))))) &  ? [v0] :  ! [v1] : ( ~ relation(v1) | empty(v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ((v6 = v2 & v5 = v2 &  ~ (v4 = v3) & in(v4, v2) & in(v3, v2) & in(v2, v0) &  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v4, v7) = v8) |  ~ in(v7, v2) | in(v8, v1)) &  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v3, v7) = v8) |  ~ in(v7, v2) | in(v8, v1))) | ( ! [v7] :  ! [v8] : ( ~ in(v8, v0) |  ~ in(v7, v8) | in(v7, v2) |  ? [v9] :  ? [v10] : (ordered_pair(v7, v9) = v10 & in(v9, v8) &  ~ in(v10, v1))) &  ! [v7] : ( ~ in(v7, v2) |  ? [v8] : (in(v8, v0) & in(v7, v8) &  ! [v9] :  ! [v10] : ( ~ (ordered_pair(v7, v9) = v10) |  ~ in(v9, v8) | in(v10, v1))))))) &  ! [v0] : (v0 = empty_set |  ~ (set_meet(empty_set) = v0)) &  ! [v0] : (v0 = empty_set |  ~ (relation_rng(v0) = empty_set) |  ~ relation(v0)) &  ! [v0] : (v0 = empty_set |  ~ (relation_dom(v0) = empty_set) |  ~ relation(v0)) &  ! [v0] : (v0 = empty_set |  ~ subset(v0, empty_set)) &  ! [v0] : (v0 = empty_set |  ~ relation(v0) |  ? [v1] :  ? [v2] :  ? [v3] : (ordered_pair(v1, v2) = v3 & in(v3, v0))) &  ! [v0] : (v0 = empty_set |  ~ empty(v0)) &  ! [v0] : (v0 = omega |  ~ being_limit_ordinal(v0) |  ~ ordinal(v0) |  ~ in(empty_set, v0) |  ? [v1] : (being_limit_ordinal(v1) & ordinal(v1) & in(empty_set, v1) &  ~ subset(v0, v1))) &  ! [v0] : ( ~ (union(v0) = v0) | being_limit_ordinal(v0)) &  ! [v0] :  ~ (singleton(v0) = empty_set) &  ! [v0] : ( ~ latt_str(v0) | meet_semilatt_str(v0)) &  ! [v0] : ( ~ latt_str(v0) | join_semilatt_str(v0)) &  ! [v0] : ( ~ being_limit_ordinal(v0) |  ~ ordinal(v0) |  ~ in(empty_set, v0) | subset(omega, v0)) &  ! [v0] : ( ~ reflexive(v0) |  ~ well_founded_relation(v0) |  ~ transitive(v0) |  ~ connected(v0) |  ~ antisymmetric(v0) |  ~ relation(v0) | well_ordering(v0)) &  ! [v0] : ( ~ well_ordering(v0) |  ~ relation(v0) | reflexive(v0)) &  ! [v0] : ( ~ well_ordering(v0) |  ~ relation(v0) | well_founded_relation(v0)) &  ! [v0] : ( ~ well_ordering(v0) |  ~ relation(v0) | transitive(v0)) &  ! [v0] : ( ~ well_ordering(v0) |  ~ relation(v0) | connected(v0)) &  ! [v0] : ( ~ well_ordering(v0) |  ~ relation(v0) | antisymmetric(v0)) &  ! [v0] : ( ~ meet_semilatt_str(v0) | one_sorted_str(v0)) &  ! [v0] : ( ~ join_semilatt_str(v0) | one_sorted_str(v0)) &  ! [v0] : ( ~ relation(v0) |  ~ function(v0) |  ~ empty(v0) | one_to_one(v0)) &  ! [v0] : ( ~ relation(v0) | transitive(v0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (ordered_pair(v2, v3) = v5 & ordered_pair(v1, v3) = v6 & ordered_pair(v1, v2) = v4 & in(v5, v0) & in(v4, v0) &  ~ in(v6, v0))) &  ! [v0] : ( ~ relation(v0) | antisymmetric(v0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v2 = v1) & ordered_pair(v2, v1) = v4 & ordered_pair(v1, v2) = v3 & in(v4, v0) & in(v3, v0))) &  ! [v0] : ( ~ diff_closed(v0) |  ~ cup_closed(v0) | preboolean(v0)) &  ! [v0] : ( ~ preboolean(v0) | diff_closed(v0)) &  ! [v0] : ( ~ preboolean(v0) | cup_closed(v0)) &  ! [v0] : ( ~ finite(v0) |  ? [v1] :  ? [v2] : (relation_rng(v1) = v0 & relation_dom(v1) = v2 & relation(v1) & function(v1) & in(v2, omega))) &  ! [v0] : ( ~ epsilon_connected(v0) |  ~ epsilon_transitive(v0) | ordinal(v0)) &  ! [v0] : ( ~ ordinal(v0) |  ~ empty(v0) | epsilon_connected(v0)) &  ! [v0] : ( ~ ordinal(v0) |  ~ empty(v0) | epsilon_transitive(v0)) &  ! [v0] : ( ~ ordinal(v0) |  ~ empty(v0) | natural(v0)) &  ! [v0] : ( ~ ordinal(v0) | being_limit_ordinal(v0) |  ? [v1] :  ? [v2] : (succ(v1) = v2 & ordinal(v1) & in(v1, v0) &  ~ in(v2, v0))) &  ! [v0] : ( ~ ordinal(v0) | being_limit_ordinal(v0) |  ? [v1] : (succ(v1) = v0 & ordinal(v1))) &  ! [v0] : ( ~ ordinal(v0) | epsilon_connected(v0)) &  ! [v0] : ( ~ ordinal(v0) | epsilon_transitive(v0)) &  ! [v0] : ( ~ empty(v0) | relation(v0)) &  ! [v0] : ( ~ empty(v0) | function(v0)) &  ! [v0] : ( ~ empty(v0) | finite(v0)) &  ! [v0] : ( ~ empty(v0) | epsilon_connected(v0)) &  ! [v0] : ( ~ empty(v0) | epsilon_transitive(v0)) &  ! [v0] : ( ~ empty(v0) | ordinal(v0)) &  ! [v0] : ( ~ empty(v0) | v5_membered(v0)) &  ! [v0] : ( ~ empty(v0) | v4_membered(v0)) &  ! [v0] : ( ~ empty(v0) | v3_membered(v0)) &  ! [v0] : ( ~ empty(v0) | v2_membered(v0)) &  ! [v0] : ( ~ empty(v0) | v1_membered(v0)) &  ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0)) &  ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0)) &  ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0)) &  ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0)) &  ! [v0] : ( ~ element(v0, omega) | epsilon_connected(v0)) &  ! [v0] : ( ~ element(v0, omega) | epsilon_transitive(v0)) &  ! [v0] : ( ~ element(v0, omega) | ordinal(v0)) &  ! [v0] : ( ~ element(v0, omega) | natural(v0)) &  ! [v0] :  ~ proper_subset(v0, v0) &  ! [v0] :  ~ in(v0, empty_set) &  ? [v0] :  ? [v1] :  ? [v2] : relation_of2(v2, v0, v1) &  ? [v0] :  ? [v1] :  ? [v2] : relation_of2_as_subset(v2, v0, v1) &  ? [v0] :  ? [v1] :  ? [v2] : (relation_of2(v2, v0, v1) & quasi_total(v2, v0, v1) & relation(v2) & function(v2)) &  ? [v0] :  ? [v1] :  ? [v2] : (relation_of2(v2, v0, v1) & relation(v2) & function(v2)) &  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] : (( ~ in(v2, v1) |  ~ in(v2, v0)) & (in(v2, v1) | in(v2, v0)))) &  ? [v0] :  ? [v1] : (disjoint(v0, v1) |  ? [v2] : (in(v2, v1) & in(v2, v0))) &  ? [v0] :  ? [v1] : (subset(v0, v1) |  ? [v2] : (in(v2, v0) &  ~ in(v2, v1))) &  ? [v0] :  ? [v1] : element(v1, v0) &  ? [v0] :  ? [v1] : (relation_dom(v1) = v0 & relation(v1) & function(v1) &  ! [v2] :  ! [v3] : ( ~ (singleton(v2) = v3) |  ~ in(v2, v0) | apply(v1, v2) = v3) &  ! [v2] :  ! [v3] : ( ~ (apply(v1, v2) = v3) |  ~ in(v2, v0) | singleton(v2) = v3)) &  ? [v0] :  ? [v1] : (well_orders(v1, v0) & relation(v1)) &  ? [v0] :  ? [v1] : (relation(v1) & function(v1) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) |  ~ in(v4, v1) | singleton(v2) = v3) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) |  ~ in(v4, v1) | in(v2, v0)) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) |  ~ in(v2, v0) | in(v4, v1) |  ? [v5] : ( ~ (v5 = v3) & singleton(v2) = v5))) &  ? [v0] :  ? [v1] : (in(v0, v1) &  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ in(v2, v1) | in(v3, v1)) &  ! [v2] :  ! [v3] : ( ~ subset(v3, v2) |  ~ in(v2, v1) | in(v3, v1)) &  ! [v2] : ( ~ subset(v2, v1) | are_equipotent(v2, v1) | in(v2, v1))) &  ? [v0] :  ? [v1] : (in(v0, v1) &  ! [v2] :  ! [v3] : ( ~ subset(v3, v2) |  ~ in(v2, v1) | in(v3, v1)) &  ! [v2] : ( ~ subset(v2, v1) | are_equipotent(v2, v1) | in(v2, v1)) &  ! [v2] : ( ~ in(v2, v1) |  ? [v3] : (in(v3, v1) &  ! [v4] : ( ~ subset(v4, v2) | in(v4, v3))))) &  ? [v0] :  ? [v1] : ( ! [v2] :  ! [v3] : ( ~ (singleton(v3) = v2) |  ~ in(v3, v0) | in(v2, v1)) &  ! [v2] : ( ~ in(v2, v1) |  ? [v3] : (singleton(v3) = v2 & in(v3, v0)))) &  ? [v0] :  ? [v1] : ( ! [v2] : ( ~ ordinal(v2) |  ~ in(v2, v0) | in(v2, v1)) &  ! [v2] : ( ~ in(v2, v1) | ordinal(v2)) &  ! [v2] : ( ~ in(v2, v1) | in(v2, v0))) &  ? [v0] : (v0 = empty_set |  ? [v1] : in(v1, v0)) &  ? [v0] : equipotent(v0, v0) &  ? [v0] : subset(v0, v0) &  ? [v0] : subset(empty_set, v0) &  ? [v0] : (relation(v0) |  ? [v1] : (in(v1, v0) &  ! [v2] :  ! [v3] :  ~ (ordered_pair(v2, v3) = v1))) &  ? [v0] : (function(v0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v3 = v2) & ordered_pair(v1, v3) = v5 & ordered_pair(v1, v2) = v4 & in(v5, v0) & in(v4, v0))) &  ? [v0] : (epsilon_connected(v0) |  ? [v1] :  ? [v2] : ( ~ (v2 = v1) & in(v2, v0) & in(v1, v0) &  ~ in(v2, v1) &  ~ in(v1, v2))) &  ? [v0] : (epsilon_transitive(v0) |  ? [v1] : (in(v1, v0) &  ~ subset(v1, v0))) &  ? [v0] : (ordinal(v0) |  ? [v1] : (in(v1, v0) & ( ~ subset(v1, v0) |  ~ ordinal(v1)))) &  ? [v0] : (empty(v0) |  ? [v1] :  ? [v2] : ((v2 = v0 & relation_dom(v1) = v0 & relation(v1) & function(v1) &  ! [v3] :  ! [v4] : ( ~ (apply(v1, v3) = v4) |  ~ in(v3, v0) | in(v4, v3))) | (v1 = empty_set & in(empty_set, v0)))) & ( ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ ordinal(v0) |  ~ in(v0, omega) |  ? [v2] : (powerset(v1) = v2 &  ! [v3] : (v3 = empty_set |  ~ element(v3, v2) |  ? [v4] : (in(v4, v3) &  ! [v5] : (v5 = v4 |  ~ subset(v4, v5) |  ~ in(v5, v3)))))) | ( ~ (all_0_22_22 = empty_set) & succ(all_0_28_28) = all_0_25_25 & powerset(all_0_24_24) = all_0_23_23 & powerset(all_0_25_25) = all_0_24_24 & powerset(all_0_27_27) = all_0_26_26 & powerset(all_0_28_28) = all_0_27_27 & ordinal(all_0_28_28) & element(all_0_22_22, all_0_23_23) & in(all_0_25_25, omega) &  ! [v0] : ( ~ in(v0, all_0_22_22) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) & in(v1, all_0_22_22))) & ( ~ in(all_0_28_28, omega) |  ! [v0] : (v0 = empty_set |  ~ element(v0, all_0_26_26) |  ? [v1] : (in(v1, v0) &  ! [v2] : (v2 = v1 |  ~ subset(v1, v2) |  ~ in(v2, v0)))))) | ( ~ (all_0_25_25 = empty_set) &  ~ (all_0_28_28 = empty_set) & powerset(all_0_27_27) = all_0_26_26 & powerset(all_0_28_28) = all_0_27_27 & being_limit_ordinal(all_0_28_28) & ordinal(all_0_28_28) & element(all_0_25_25, all_0_26_26) & in(all_0_28_28, omega) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ ordinal(v0) |  ~ in(v0, all_0_28_28) |  ~ in(v0, omega) |  ? [v2] : (powerset(v1) = v2 &  ! [v3] : (v3 = empty_set |  ~ element(v3, v2) |  ? [v4] : (in(v4, v3) &  ! [v5] : (v5 = v4 |  ~ subset(v4, v5) |  ~ in(v5, v3)))))) &  ! [v0] : ( ~ in(v0, all_0_25_25) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) & in(v1, all_0_25_25)))) | ( ~ (all_0_28_28 = empty_set) & element(all_0_28_28, all_0_40_40) &  ! [v0] : ( ~ in(v0, all_0_28_28) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) & in(v1, all_0_28_28))))) & ( ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ ordinal(v0) |  ~ in(v0, omega) |  ? [v2] : (powerset(v1) = v2 &  ! [v3] : (v3 = empty_set |  ~ element(v3, v2) |  ? [v4] : (in(v4, v3) &  ! [v5] : (v5 = v4 |  ~ subset(v4, v5) |  ~ in(v5, v3)))))) | ( ~ (all_0_29_29 = empty_set) & powerset(all_0_31_31) = all_0_30_30 & powerset(all_0_32_32) = all_0_31_31 & ordinal(all_0_32_32) & element(all_0_29_29, all_0_30_30) & in(all_0_32_32, omega) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ ordinal(v0) |  ~ in(v0, all_0_32_32) |  ~ in(v0, omega) |  ? [v2] : (powerset(v1) = v2 &  ! [v3] : (v3 = empty_set |  ~ element(v3, v2) |  ? [v4] : (in(v4, v3) &  ! [v5] : (v5 = v4 |  ~ subset(v4, v5) |  ~ in(v5, v3)))))) &  ! [v0] : ( ~ in(v0, all_0_29_29) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) & in(v1, all_0_29_29)))))
% 27.09/7.00  |
% 27.09/7.00  | Applying alpha-rule on (1) yields:
% 27.09/7.00  | (2)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | in(v0, v1))
% 27.09/7.00  | (3)  ! [v0] :  ! [v1] : ( ~ well_orders(v0, v1) |  ~ relation(v0) | is_antisymmetric_in(v0, v1))
% 27.09/7.00  | (4)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ ordinal(v1) |  ~ ordinal(v0) | in(v1, v0) | in(v0, v1))
% 27.09/7.00  | (5)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_field(v0) = v1) |  ~ (ordered_pair(v2, v2) = v3) |  ~ reflexive(v0) |  ~ relation(v0) |  ~ in(v2, v1) | in(v3, v0))
% 27.09/7.00  | (6)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset_complement(v0, v1) = v2) |  ? [v3] :  ? [v4] : (set_difference(v0, v1) = v4 & powerset(v0) = v3 & (v4 = v2 |  ~ element(v1, v3))))
% 27.09/7.00  | (7)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_field(v2) = v1) |  ~ (relation_field(v2) = v0))
% 27.09/7.00  | (8) epsilon_transitive(omega)
% 27.09/7.00  | (9)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) | relation(v2))
% 27.09/7.00  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_intersection2(v1, v2) = v4) |  ~ (powerset(v0) = v3) |  ~ element(v2, v3) |  ~ element(v1, v3) | subset_intersection2(v0, v1, v2) = v4)
% 27.09/7.00  | (11)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (singleton(v2) = v1) |  ~ (singleton(v2) = v0))
% 27.09/7.00  | (12)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (the_carrier(v0) = v1) |  ~ (cartesian_product2(v1, v1) = v2) |  ~ meet_semilatt_str(v0) |  ? [v3] : (the_L_meet(v0) = v3 & quasi_total(v3, v2, v1) & relation_of2_as_subset(v3, v2, v1) & function(v3)))
% 27.09/7.00  | (13)  ! [v0] : ( ~ element(v0, omega) | ordinal(v0))
% 27.09/7.00  | (14)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ empty(v0) | relation(v1))
% 27.09/7.00  | (15)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = empty_set |  ~ (relation_dom(v0) = v1) |  ~ (apply(v0, v2) = v3) |  ~ relation(v0) |  ~ function(v0) | in(v2, v1))
% 27.09/7.00  | (16)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v1) | in(v3, v0))
% 27.09/7.01  | (17)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_field(v2) = v3 & relation_field(v1) = v4 & subset(v3, v4) & subset(v3, v0)))
% 27.09/7.01  | (18)  ! [v0] : ( ~ join_semilatt_str(v0) | one_sorted_str(v0))
% 27.09/7.01  | (19)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] : (relation_dom(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (apply(v0, v4) = v3) |  ~ in(v4, v2) | in(v3, v1)) &  ! [v3] : ( ~ in(v3, v1) |  ? [v4] : (apply(v0, v4) = v3 & in(v4, v2))) &  ? [v3] : (v3 = v1 |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ in(v4, v3) |  ! [v7] : ( ~ (apply(v0, v7) = v4) |  ~ in(v7, v2))) & (in(v4, v3) | (v6 = v4 & apply(v0, v5) = v4 & in(v5, v2)))))))
% 27.09/7.01  | (20)  ? [v0] : equipotent(v0, v0)
% 27.09/7.01  | (21)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ element(v1, v0) | v1_rat_1(v1))
% 27.09/7.01  | (22)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ relation(v0) |  ? [v2] :  ? [v3] : (relation_rng(v1) = v3 & relation_rng(v0) = v2 & relation_dom(v1) = v2 & relation_dom(v0) = v3))
% 27.09/7.01  | (23)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (ordered_pair(v3, v2) = v4) |  ~ is_connected_in(v0, v1) |  ~ relation(v0) |  ~ in(v3, v1) |  ~ in(v2, v1) | in(v4, v0) |  ? [v5] : (ordered_pair(v2, v3) = v5 & in(v5, v0)))
% 27.09/7.01  | (24)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v3) |  ~ relation_of2(v2, v0, v1) | relation_rng(v2) = v3)
% 27.09/7.01  | (25)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_difference(v3, v2) = v1) |  ~ (set_difference(v3, v2) = v0))
% 27.16/7.01  | (26)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (subset_complement(v3, v2) = v1) |  ~ (subset_complement(v3, v2) = v0))
% 27.16/7.01  | (27)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_field(v2) = v3) |  ~ (relation_field(v0) = v1) |  ~ (relation_dom(v4) = v5) |  ~ relation(v4) |  ~ relation(v2) |  ~ relation(v0) |  ~ function(v4) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (relation_rng(v4) = v6 & ( ~ (v6 = v3) |  ~ (v5 = v1) |  ~ one_to_one(v4) | relation_isomorphism(v0, v2, v4) | (apply(v4, v8) = v11 & apply(v4, v7) = v10 & ordered_pair(v10, v11) = v12 & ordered_pair(v7, v8) = v9 & ( ~ in(v12, v2) |  ~ in(v9, v0) |  ~ in(v8, v1) |  ~ in(v7, v1)) & (in(v9, v0) | (in(v12, v2) & in(v8, v1) & in(v7, v1))))) & ( ~ relation_isomorphism(v0, v2, v4) | (v6 = v3 & v5 = v1 & one_to_one(v4) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) |  ~ in(v17, v2) |  ~ in(v14, v1) |  ~ in(v13, v1) |  ? [v18] : (ordered_pair(v13, v14) = v18 & in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) | in(v17, v2) |  ? [v18] : (ordered_pair(v13, v14) = v18 &  ~ in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) | in(v14, v1) |  ? [v18] : (ordered_pair(v13, v14) = v18 &  ~ in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) | in(v13, v1) |  ? [v18] : (ordered_pair(v13, v14) = v18 &  ~ in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v15, v0) | in(v14, v1)) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v15, v0) | in(v13, v1)) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v15, v0) |  ? [v16] :  ? [v17] :  ? [v18] : (apply(v4, v14) = v17 & apply(v4, v13) = v16 & ordered_pair(v16, v17) = v18 & in(v18, v2))) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v14, v1) |  ~ in(v13, v1) | in(v15, v0) |  ? [v16] :  ? [v17] :  ? [v18] : (apply(v4, v14) = v17 & apply(v4, v13) = v16 & ordered_pair(v16, v17) = v18 &  ~ in(v18, v2)))))))
% 27.16/7.01  | (28)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (meet(v0, v1, v2) = v3) |  ~ meet_semilatt_str(v0) |  ~ meet_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (meet_commut(v0, v1, v2) = v5 & the_carrier(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4))))
% 27.16/7.01  | (29)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v1) = v2) |  ~ (set_intersection2(v2, v0) = v3) |  ~ relation(v1) |  ? [v4] : (relation_rng(v4) = v3 & relation_rng_restriction(v0, v1) = v4))
% 27.16/7.01  | (30)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ relation(v0) |  ~ function(v0) | function(v2))
% 27.16/7.01  | (31)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (identity_relation(v0) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (ordered_pair(v3, v4) = v5 & ( ~ (v4 = v3) |  ~ in(v5, v1) |  ~ in(v3, v0)) & (in(v5, v1) | (v4 = v3 & in(v3, v0)))))
% 27.16/7.01  | (32)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (complements_of_subsets(v3, v2) = v1) |  ~ (complements_of_subsets(v3, v2) = v0))
% 27.16/7.01  | (33)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ? [v3] : (set_difference(v1, v0) = v3 & set_union2(v0, v3) = v2))
% 27.16/7.01  | (34)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v3, v4) = v6) |  ~ (ordered_pair(v2, v3) = v5) |  ~ is_transitive_in(v0, v1) |  ~ relation(v0) |  ~ in(v6, v0) |  ~ in(v5, v0) |  ~ in(v4, v1) |  ~ in(v3, v1) |  ~ in(v2, v1) |  ? [v7] : (ordered_pair(v2, v4) = v7 & in(v7, v0)))
% 27.16/7.01  | (35)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v2) = v0) |  ~ (singleton(v1) = v2) |  ~ in(v1, v0))
% 27.16/7.01  | (36)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ~ ordinal(v1) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (singleton(v1) = v6 & powerset(v3) = v4 & powerset(v2) = v3 & powerset(v1) = v5 & ( ~ element(v0, v4) | ( ! [v8] :  ! [v9] : ( ~ (set_difference(v9, v6) = v8) |  ~ in(v9, v0) |  ~ in(v8, v5) | in(v8, v7)) &  ! [v8] : ( ~ in(v8, v7) | in(v8, v5)) &  ! [v8] : ( ~ in(v8, v7) |  ? [v9] : (set_difference(v9, v6) = v8 & in(v9, v0)))))))
% 27.16/7.01  | (37)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) | function_inverse(v0) = v1)
% 27.16/7.01  | (38)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v2) = v3) |  ~ relation_of2_as_subset(v2, v0, v1) |  ? [v4] : (relation_dom(v2) = v4 & subset(v4, v0)))
% 27.16/7.01  | (39)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v1 = empty_set |  ~ (set_meet(v1) = v2) |  ? [v3] :  ? [v4] : (( ~ in(v3, v0) | (in(v4, v1) &  ~ in(v3, v4))) & (in(v3, v0) |  ! [v5] : ( ~ in(v5, v1) | in(v3, v5)))))
% 27.16/7.01  | (40)  ~ empty(all_0_4_4)
% 27.16/7.02  | (41)  ! [v0] : ( ~ empty(v0) | v2_membered(v0))
% 27.16/7.02  | (42)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v4_membered(v0) | v3_membered(v2))
% 27.16/7.02  | (43)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) |  ~ empty(v2) | empty(v1) | empty(v0))
% 27.16/7.02  | (44)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ well_orders(v0, v1) |  ~ relation(v0) | well_ordering(v0))
% 27.16/7.02  | (45)  ? [v0] :  ? [v1] : (disjoint(v0, v1) |  ? [v2] : (in(v2, v1) & in(v2, v0)))
% 27.16/7.02  | (46)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v4_membered(v0) |  ~ element(v2, v1) | v4_membered(v2))
% 27.16/7.02  | (47)  ? [v0] :  ! [v1] : ( ~ relation(v1) | empty(v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ((v6 = v2 & v5 = v2 &  ~ (v4 = v3) & in(v4, v2) & in(v3, v2) & in(v2, v0) &  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v4, v7) = v8) |  ~ in(v7, v2) | in(v8, v1)) &  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v3, v7) = v8) |  ~ in(v7, v2) | in(v8, v1))) | (relation(v2) & function(v2) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v7, v8) = v9) |  ~ in(v9, v2) | in(v7, v0)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v7, v8) = v9) |  ~ in(v9, v2) | (in(v8, v7) &  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v8, v10) = v11) |  ~ in(v10, v7) | in(v11, v1)))) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v7, v8) = v9) |  ~ in(v8, v7) |  ~ in(v7, v0) | in(v9, v2) |  ? [v10] :  ? [v11] : (ordered_pair(v8, v10) = v11 & in(v10, v7) &  ~ in(v11, v1))))))
% 27.16/7.02  | (48)  ! [v0] :  ! [v1] : ( ~ equipotent(v0, v1) | equipotent(v1, v0))
% 27.16/7.02  | (49)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ well_founded_relation(v0) |  ~ relation(v0) | is_well_founded_in(v0, v1))
% 27.16/7.02  | (50)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v0, v1) = v4) |  ~ (cartesian_product2(v2, v3) = v5) |  ~ in(v4, v5) | in(v1, v3))
% 27.16/7.02  | (51)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v3_membered(v0) |  ~ element(v2, v1) | v3_membered(v2))
% 27.16/7.02  | (52)  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ~ one_sorted_str(v0) |  ? [v2] :  ? [v3] : (the_carrier(v0) = v2 & powerset(v2) = v3 & element(v1, v3)))
% 27.16/7.02  | (53)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ relation(v0) | reflexive(v0) |  ? [v2] :  ? [v3] : (ordered_pair(v2, v2) = v3 & in(v2, v1) &  ~ in(v3, v0)))
% 27.16/7.02  | (54)  ! [v0] :  ~ in(v0, empty_set)
% 27.16/7.02  | (55)  ! [v0] :  ! [v1] : ( ~ (succ(v1) = v0) |  ~ being_limit_ordinal(v0) |  ~ ordinal(v1) |  ~ ordinal(v0))
% 27.16/7.02  | (56)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2)
% 27.16/7.02  | (57)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v1, v0) = v2) | unordered_pair(v0, v1) = v2)
% 27.16/7.02  | (58)  ! [v0] : ( ~ latt_str(v0) | join_semilatt_str(v0))
% 27.16/7.02  | (59)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ reflexive(v0) |  ~ relation(v0) | is_reflexive_in(v0, v1))
% 27.16/7.02  | (60)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng_restriction(v0, v2) = v3) |  ~ (relation_dom_restriction(v3, v1) = v4) |  ~ relation(v2) |  ? [v5] : (relation_rng_restriction(v0, v5) = v4 & relation_dom_restriction(v2, v1) = v5))
% 27.16/7.02  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v2, v1) = v4) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ~ relation(v2) |  ~ function(v2) |  ? [v5] :  ? [v6] : (relation_dom(v3) = v5 & apply(v3, v1) = v6 & (v6 = v4 |  ~ in(v1, v5))))
% 27.16/7.02  | (62)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ element(v1, v0) | natural(v1))
% 27.16/7.02  | (63)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_inverse_image(v1, v2) = v3) |  ~ (relation_image(v1, v0) = v2) |  ~ relation(v1) | subset(v0, v3) |  ? [v4] : (relation_dom(v1) = v4 &  ~ subset(v0, v4)))
% 27.16/7.02  | (64)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_dom(v2) = v3 & relation_dom(v1) = v4 & subset(v3, v4)))
% 27.16/7.02  | (65)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] :  ? [v4] : (subset_complement(v0, v1) = v4 & powerset(v0) = v3 & (v4 = v2 |  ~ element(v1, v3))))
% 27.16/7.02  | (66) relation(all_0_13_13)
% 27.16/7.02  | (67) epsilon_transitive(all_0_4_4)
% 27.16/7.02  | (68)  ! [v0] :  ! [v1] : ( ~ relation(v1) |  ~ relation(v0) | subset(v0, v1) |  ? [v2] :  ? [v3] :  ? [v4] : (ordered_pair(v2, v3) = v4 & in(v4, v0) &  ~ in(v4, v1)))
% 27.16/7.02  | (69)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (relation_inverse_image(v1, v2) = v3) |  ~ relation(v1) |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ in(v4, v0) |  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v4, v7) = v8) |  ~ in(v8, v1) |  ~ in(v7, v2))) & (in(v4, v0) | (ordered_pair(v4, v5) = v6 & in(v6, v1) & in(v5, v2)))))
% 27.16/7.02  | (70)  ! [v0] :  ! [v1] : ( ~ well_orders(v0, v1) |  ~ relation(v0) | is_connected_in(v0, v1))
% 27.16/7.02  | (71) one_to_one(all_0_17_17)
% 27.16/7.02  | (72) relation(all_0_19_19)
% 27.16/7.02  | (73)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ element(v1, v3) |  ~ in(v0, v1) | element(v0, v2))
% 27.16/7.02  | (74)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ join_semilatt_str(v0) |  ? [v2] :  ? [v3] : (the_L_join(v0) = v2 & cartesian_product2(v1, v1) = v3 & quasi_total(v2, v3, v1) & relation_of2_as_subset(v2, v3, v1) & function(v2)))
% 27.16/7.02  | (75)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2)
% 27.16/7.02  | (76)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | set_intersection2(v0, v1) = v2)
% 27.16/7.02  | (77)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_difference(v0, empty_set) = v1))
% 27.16/7.02  | (78)  ! [v0] :  ! [v1] : ( ~ (the_L_meet(v0) = v1) |  ~ meet_semilatt_str(v0) | function(v1))
% 27.16/7.02  | (79)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4))
% 27.16/7.02  | (80)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (meet_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (set_meet(v1) = v5 & powerset(v3) = v4 & powerset(v0) = v3 & (v5 = v2 |  ~ element(v1, v4))))
% 27.16/7.02  | (81)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_image(v2, v1) = v3) |  ~ relation(v2) |  ? [v4] :  ? [v5] :  ? [v6] : (relation_dom(v2) = v4 & ( ~ in(v0, v3) | (ordered_pair(v5, v0) = v6 & in(v6, v2) & in(v5, v4) & in(v5, v1))) & (in(v0, v3) |  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v7, v0) = v8) |  ~ in(v8, v2) |  ~ in(v7, v4) |  ~ in(v7, v1)))))
% 27.16/7.02  | (82)  ! [v0] : ( ~ ordinal(v0) |  ~ empty(v0) | epsilon_transitive(v0))
% 27.16/7.02  | (83)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v1) = v2) |  ~ in(v3, v2) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v5) = v3 & in(v5, v1) & in(v4, v0)))
% 27.16/7.03  | (84)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_composition(v2, v1) = v3) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ~ function(v1) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v3) = v4 & apply(v3, v0) = v5 & apply(v2, v0) = v6 & apply(v1, v6) = v7 & (v7 = v5 |  ~ in(v0, v4))))
% 27.16/7.03  | (85)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_composition(v2, v1) = v3) |  ~ (identity_relation(v0) = v2) |  ~ relation(v1) | relation_dom_restriction(v1, v0) = v3)
% 27.16/7.03  | (86)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_intersection2(v0, v1, v2) = v3) |  ? [v4] : (powerset(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4))))
% 27.16/7.03  | (87)  ! [v0] : ( ~ ordinal(v0) | epsilon_connected(v0))
% 27.16/7.03  | (88)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_rng(v2) = v3 & relation_rng(v1) = v4 & subset(v3, v4)))
% 27.16/7.03  | (89)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ~ empty(v2) | empty(v0))
% 27.16/7.03  | (90)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (relation_dom_as_subset(v1, v0, v2) = v3) |  ~ relation_of2_as_subset(v2, v1, v0) |  ? [v4] : (in(v4, v1) &  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v4, v5) = v6) |  ~ in(v6, v2))))
% 27.16/7.03  | (91)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ subset(v0, v1) | proper_subset(v0, v1))
% 27.16/7.03  | (92)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v2 = v1 |  ~ (pair_first(v0) = v1) |  ~ (ordered_pair(v4, v5) = v0) |  ~ (ordered_pair(v2, v3) = v0))
% 27.16/7.03  | (93)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ relation(v0) |  ~ function(v0) | relation(v2))
% 27.16/7.03  | (94)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_composition(v0, v2) = v3) |  ~ (relation_dom(v0) = v1) |  ~ relation(v2) |  ~ relation(v0) |  ? [v4] : (relation_dom(v3) = v4 & subset(v4, v1)))
% 27.16/7.03  | (95)  ! [v0] :  ! [v1] : ( ~ well_orders(v0, v1) |  ~ relation(v0) | is_well_founded_in(v0, v1))
% 27.16/7.03  | (96)  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : ( ~ (v2 = empty_set) & relation_dom(v0) = v2))
% 27.16/7.03  | (97)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) |  ? [v5] : (relation_dom(v2) = v5 & in(v0, v5)))
% 27.16/7.03  | (98)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v1) |  ~ (relation_image(v2, v1) = v3) |  ~ relation(v2) |  ~ relation(v0) |  ? [v4] : (relation_composition(v0, v2) = v4 & relation_rng(v4) = v3))
% 27.16/7.03  | (99)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v3_membered(v0) |  ~ element(v2, v1) | v1_membered(v2))
% 27.16/7.03  | (100)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_composition(v3, v2) = v1) |  ~ (relation_composition(v3, v2) = v0))
% 27.16/7.03  | (101)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ empty(v0) | empty(v1))
% 27.16/7.03  | (102)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_rng(v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ in(v3, v0) |  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v6, v3) = v7) |  ~ in(v7, v1))) & (in(v3, v0) | (ordered_pair(v4, v3) = v5 & in(v5, v1)))))
% 27.16/7.03  | (103)  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ element(v1, v0) | v1_xreal_0(v1))
% 27.16/7.03  | (104)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v3) |  ~ relation_of2(v2, v0, v1) |  ? [v4] : (powerset(v1) = v4 & element(v3, v4)))
% 27.16/7.03  | (105)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (empty(v2) & element(v2, v1)))
% 27.16/7.03  | (106)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ ordinal(v0) |  ~ in(v0, omega) |  ? [v2] : (powerset(v1) = v2 &  ! [v3] : (v3 = empty_set |  ~ element(v3, v2) |  ? [v4] : (in(v4, v3) &  ! [v5] : (v5 = v4 |  ~ subset(v4, v5) |  ~ in(v5, v3)))))) | ( ~ (all_0_22_22 = empty_set) & succ(all_0_28_28) = all_0_25_25 & powerset(all_0_24_24) = all_0_23_23 & powerset(all_0_25_25) = all_0_24_24 & powerset(all_0_27_27) = all_0_26_26 & powerset(all_0_28_28) = all_0_27_27 & ordinal(all_0_28_28) & element(all_0_22_22, all_0_23_23) & in(all_0_25_25, omega) &  ! [v0] : ( ~ in(v0, all_0_22_22) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) & in(v1, all_0_22_22))) & ( ~ in(all_0_28_28, omega) |  ! [v0] : (v0 = empty_set |  ~ element(v0, all_0_26_26) |  ? [v1] : (in(v1, v0) &  ! [v2] : (v2 = v1 |  ~ subset(v1, v2) |  ~ in(v2, v0)))))) | ( ~ (all_0_25_25 = empty_set) &  ~ (all_0_28_28 = empty_set) & powerset(all_0_27_27) = all_0_26_26 & powerset(all_0_28_28) = all_0_27_27 & being_limit_ordinal(all_0_28_28) & ordinal(all_0_28_28) & element(all_0_25_25, all_0_26_26) & in(all_0_28_28, omega) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ ordinal(v0) |  ~ in(v0, all_0_28_28) |  ~ in(v0, omega) |  ? [v2] : (powerset(v1) = v2 &  ! [v3] : (v3 = empty_set |  ~ element(v3, v2) |  ? [v4] : (in(v4, v3) &  ! [v5] : (v5 = v4 |  ~ subset(v4, v5) |  ~ in(v5, v3)))))) &  ! [v0] : ( ~ in(v0, all_0_25_25) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) & in(v1, all_0_25_25)))) | ( ~ (all_0_28_28 = empty_set) & element(all_0_28_28, all_0_40_40) &  ! [v0] : ( ~ in(v0, all_0_28_28) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) & in(v1, all_0_28_28))))
% 27.16/7.03  | (107)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_rng(v2) = v1) |  ~ (relation_rng(v2) = v0))
% 27.16/7.03  | (108)  ! [v0] :  ! [v1] : ( ~ (the_L_join(v0) = v1) |  ~ join_semilatt_str(v0) |  ? [v2] :  ? [v3] : (the_carrier(v0) = v2 & cartesian_product2(v2, v2) = v3 & quasi_total(v1, v3, v2) & relation_of2_as_subset(v1, v3, v2)))
% 27.16/7.03  | (109) natural(all_0_4_4)
% 27.16/7.03  | (110)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (relation_field(v0) = v1) |  ~ well_founded_relation(v0) |  ~ subset(v2, v1) |  ~ relation(v0) |  ? [v3] :  ? [v4] : (fiber(v0, v3) = v4 & disjoint(v4, v2) & in(v3, v2)))
% 27.16/7.03  | (111)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_dom(v0) = v2 & relation_image(v0, v2) = v1))
% 27.16/7.03  | (112)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (meet_commut(v0, v2, v1) = v3) |  ~ meet_semilatt_str(v0) |  ~ meet_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (meet_commut(v0, v1, v2) = v5 & the_carrier(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4))))
% 27.16/7.03  | (113)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v1) |  ~ (set_union2(v0, v1) = v2) | succ(v0) = v2)
% 27.16/7.03  | (114)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) | relation(v2))
% 27.16/7.03  | (115)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (apply(v1, v0) = v2) |  ~ relation(v1) |  ~ function(v1) |  ? [v3] : (relation_dom(v1) = v3 &  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_composition(v1, v4) = v5) |  ~ (apply(v5, v0) = v6) |  ~ relation(v4) |  ~ function(v4) |  ~ in(v0, v3) | apply(v4, v2) = v6) &  ! [v4] :  ! [v5] : ( ~ (apply(v4, v2) = v5) |  ~ relation(v4) |  ~ function(v4) |  ~ in(v0, v3) |  ? [v6] : (relation_composition(v1, v4) = v6 & apply(v6, v0) = v5))))
% 27.16/7.03  | (116)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ is_antisymmetric_in(v0, v1) |  ~ relation(v0) | antisymmetric(v0))
% 27.16/7.03  | (117)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_difference(v0, v1, v2) = v3) |  ? [v4] : (powerset(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4))))
% 27.16/7.03  | (118)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v2, v0) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ function(v2) |  ? [v5] : (relation_dom(v2) = v5 & ( ~ (v4 = v1) |  ~ in(v0, v5) | in(v3, v2)) & ( ~ in(v3, v2) | (v4 = v1 & in(v0, v5)))))
% 27.16/7.03  | (119)  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ subset(v0, v1) |  ~ ordinal(v1) |  ? [v2] : (ordinal(v2) & in(v2, v0) &  ! [v3] : ( ~ ordinal(v3) |  ~ in(v3, v0) | ordinal_subset(v2, v3))))
% 27.16/7.03  | (120)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_inverse_image(v2, v1) = v4) |  ~ (relation_inverse_image(v2, v0) = v3) |  ~ subset(v0, v1) |  ~ relation(v2) | subset(v3, v4))
% 27.16/7.03  | (121)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | relation(v1))
% 27.16/7.04  | (122) epsilon_connected(all_0_18_18)
% 27.16/7.04  | (123)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (complements_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | element(v2, v4))))
% 27.16/7.04  | (124) one_to_one(all_0_10_10)
% 27.16/7.04  | (125)  ! [v0] :  ! [v1] : ( ~ empty(v1) |  ~ in(v0, v1))
% 27.16/7.04  | (126)  ! [v0] :  ! [v1] : ( ~ (unordered_pair(v0, v0) = v1) | singleton(v0) = v1)
% 27.16/7.04  | (127)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | unordered_pair(v0, v0) = v1)
% 27.16/7.04  | (128)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v0) |  ~ in(v4, v0) | in(v2, v1))
% 27.16/7.04  | (129)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_restriction(v2, v1) = v3) |  ~ relation(v2) |  ? [v4] : (cartesian_product2(v1, v1) = v4 & ( ~ in(v0, v4) |  ~ in(v0, v2) | in(v0, v3)) & ( ~ in(v0, v3) | (in(v0, v4) & in(v0, v2)))))
% 27.16/7.04  | (130)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng_restriction(v0, v3) = v4) |  ~ (relation_dom_restriction(v2, v1) = v3) |  ~ relation(v2) |  ? [v5] : (relation_rng_restriction(v0, v2) = v5 & relation_dom_restriction(v5, v1) = v4))
% 27.16/7.04  | (131) epsilon_transitive(all_0_14_14)
% 27.16/7.04  | (132)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ relation(v1) |  ~ relation(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (ordered_pair(v2, v3) = v4 & ( ~ in(v4, v1) |  ~ in(v4, v0)) & (in(v4, v1) | in(v4, v0))))
% 27.16/7.04  | (133)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v3 = v2 |  ~ (ordered_pair(v1, v3) = v5) |  ~ (ordered_pair(v1, v2) = v4) |  ~ function(v0) |  ~ in(v5, v0) |  ~ in(v4, v0))
% 27.16/7.04  | (134)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ quasi_total(v2, empty_set, v0) |  ~ relation_of2_as_subset(v2, empty_set, v0) |  ~ subset(v0, v1) |  ~ function(v2) | quasi_total(v2, empty_set, v1))
% 27.16/7.04  | (135)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (union_of_subsets(v0, v2) = v3) |  ~ (complements_of_subsets(v0, v1) = v2) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (subset_difference(v0, v6, v7) = v8 & meet_of_subsets(v0, v1) = v7 & cast_to_subset(v0) = v6 & powerset(v4) = v5 & powerset(v0) = v4 & (v8 = v3 |  ~ element(v1, v5))))
% 27.16/7.04  | (136)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) |  ? [v5] : (relation_rng(v2) = v5 & in(v1, v5)))
% 27.16/7.04  | (137)  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) | one_to_one(v1))
% 27.16/7.04  | (138)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v1) = v2) |  ~ relation(v1) |  ~ function(v1) |  ~ in(v2, omega) | finite(v0) |  ? [v3] : ( ~ (v3 = v0) & relation_rng(v1) = v3))
% 27.16/7.04  | (139)  ! [v0] :  ! [v1] : ( ~ (singleton(v1) = v0) | subset(v0, v0))
% 27.16/7.04  | (140)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_inverse(v0) = v1) |  ~ (ordered_pair(v3, v2) = v4) |  ~ relation(v1) |  ~ relation(v0) | in(v4, v0) |  ? [v5] : (ordered_pair(v2, v3) = v5 &  ~ in(v5, v1)))
% 27.16/7.04  | (141)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_inverse_image(v0, v1) = v2) |  ~ relation(v0) |  ~ in(v3, v2) |  ? [v4] :  ? [v5] : (ordered_pair(v3, v4) = v5 & in(v5, v0) & in(v4, v1)))
% 27.16/7.04  | (142)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ subset(v1, v2) |  ~ function(v3) | quasi_total(v3, v0, v2))
% 27.16/7.04  | (143)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ relation(v0) | connected(v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v3 = v2) & ordered_pair(v3, v2) = v5 & ordered_pair(v2, v3) = v4 & in(v3, v1) & in(v2, v1) &  ~ in(v5, v0) &  ~ in(v4, v0)))
% 27.16/7.04  | (144)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v5_membered(v0) | v4_membered(v2))
% 27.16/7.04  | (145)  ! [v0] : (v0 = empty_set |  ~ (relation_dom(v0) = empty_set) |  ~ relation(v0))
% 27.16/7.04  | (146)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_restriction(v2, v0) = v3) |  ~ (fiber(v3, v1) = v4) |  ~ relation(v2) |  ? [v5] : (fiber(v2, v1) = v5 & subset(v4, v5)))
% 27.16/7.04  | (147)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v2_membered(v0) | v2_membered(v2))
% 27.16/7.04  | (148)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v2, v0) = v3) |  ~ (apply(v1, v3) = v4) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v2, v1) = v5 & relation_dom(v5) = v6 & apply(v5, v0) = v7 & (v7 = v4 |  ~ in(v0, v6))))
% 27.16/7.04  | (149)  ! [v0] : ( ~ meet_semilatt_str(v0) | one_sorted_str(v0))
% 27.16/7.04  | (150)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (union(v2) = v1) |  ~ (union(v2) = v0))
% 27.16/7.04  | (151)  ? [v0] :  ? [v1] : (relation(v1) & function(v1) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) |  ~ in(v4, v1) | singleton(v2) = v3) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) |  ~ in(v4, v1) | in(v2, v0)) &  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) |  ~ in(v2, v0) | in(v4, v1) |  ? [v5] : ( ~ (v5 = v3) & singleton(v2) = v5)))
% 27.16/7.04  | (152)  ? [v0] :  ? [v1] :  ? [v2] : (relation_of2(v2, v0, v1) & relation(v2) & function(v2))
% 27.16/7.04  | (153)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_restriction(v0, v2) = v3) |  ~ (relation_dom_restriction(v1, v0) = v2) |  ~ relation(v1) | relation_restriction(v1, v0) = v3)
% 27.16/7.04  | (154)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v5_membered(v0) | v5_membered(v2))
% 27.16/7.04  | (155) v2_membered(empty_set)
% 27.16/7.04  | (156)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (identity_relation(v2) = v1) |  ~ (identity_relation(v2) = v0))
% 27.16/7.04  | (157)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v5_membered(v0) | v5_membered(v2))
% 27.16/7.04  | (158)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pair_second(v2) = v1) |  ~ (pair_second(v2) = v0))
% 27.16/7.04  | (159) being_limit_ordinal(all_0_9_9)
% 27.16/7.04  | (160)  ! [v0] : (v0 = empty_set |  ~ (relation_rng(v0) = empty_set) |  ~ relation(v0))
% 27.16/7.04  | (161)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v1) = v2) |  ? [v3] : (( ~ (v3 = v1) |  ~ in(v1, v0)) & (v3 = v1 | in(v3, v0))))
% 27.16/7.04  | (162)  ! [v0] : ( ~ well_ordering(v0) |  ~ relation(v0) | antisymmetric(v0))
% 27.16/7.04  | (163)  ! [v0] : ( ~ preboolean(v0) | cup_closed(v0))
% 27.16/7.04  | (164)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_of2_as_subset(v2, v0, v1) | relation_of2(v2, v0, v1))
% 27.16/7.04  | (165)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_of2(v2, v0, v1) | relation_of2_as_subset(v2, v0, v1))
% 27.16/7.04  | (166)  ! [v0] : ( ~ finite(v0) |  ? [v1] :  ? [v2] : (relation_rng(v1) = v0 & relation_dom(v1) = v2 & relation(v1) & function(v1) & in(v2, omega)))
% 27.16/7.04  | (167)  ? [v0] :  ! [v1] : ( ~ relation(v1) | is_reflexive_in(v1, v0) |  ? [v2] :  ? [v3] : (ordered_pair(v2, v2) = v3 & in(v2, v0) &  ~ in(v3, v1)))
% 27.16/7.04  | (168)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ ordinal(v0) |  ~ in(v0, omega) |  ? [v2] : (powerset(v1) = v2 &  ! [v3] : (v3 = empty_set |  ~ element(v3, v2) |  ? [v4] : (in(v4, v3) &  ! [v5] : (v5 = v4 |  ~ subset(v4, v5) |  ~ in(v5, v3)))))) | ( ~ (all_0_29_29 = empty_set) & powerset(all_0_31_31) = all_0_30_30 & powerset(all_0_32_32) = all_0_31_31 & ordinal(all_0_32_32) & element(all_0_29_29, all_0_30_30) & in(all_0_32_32, omega) &  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ ordinal(v0) |  ~ in(v0, all_0_32_32) |  ~ in(v0, omega) |  ? [v2] : (powerset(v1) = v2 &  ! [v3] : (v3 = empty_set |  ~ element(v3, v2) |  ? [v4] : (in(v4, v3) &  ! [v5] : (v5 = v4 |  ~ subset(v4, v5) |  ~ in(v5, v3)))))) &  ! [v0] : ( ~ in(v0, all_0_29_29) |  ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) & in(v1, all_0_29_29))))
% 27.16/7.05  | (169)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (set_meet(v2) = v1) |  ~ (set_meet(v2) = v0))
% 27.16/7.05  | (170)  ? [v0] : subset(empty_set, v0)
% 27.16/7.05  | (171)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v3_membered(v0) | v2_membered(v2))
% 27.16/7.05  | (172)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ element(v1, v0) | v1_rat_1(v1))
% 27.16/7.05  | (173)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_field(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) | in(v0, v4))
% 27.16/7.05  | (174)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v3 = v1 |  ~ (pair_second(v0) = v1) |  ~ (ordered_pair(v4, v5) = v0) |  ~ (ordered_pair(v2, v3) = v0))
% 27.16/7.05  | (175)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_pair(v0, v1) = v3) |  ~ subset(v3, v2) | in(v1, v2))
% 27.16/7.05  | (176)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v2) = v3) |  ~ relation(v1) | empty(v0) |  ? [v4] : ( ! [v5] :  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v6, v7) = v5) |  ~ in(v7, v6) |  ~ in(v6, v0) |  ~ in(v5, v3) | in(v5, v4) |  ? [v8] :  ? [v9] : (ordered_pair(v7, v8) = v9 & in(v8, v6) &  ~ in(v9, v1))) &  ! [v5] : ( ~ in(v5, v4) | in(v5, v3)) &  ! [v5] : ( ~ in(v5, v4) |  ? [v6] :  ? [v7] : (ordered_pair(v6, v7) = v5 & in(v7, v6) & in(v6, v0) &  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v7, v8) = v9) |  ~ in(v8, v6) | in(v9, v1))))))
% 27.16/7.05  | (177)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v0 |  ~ (relation_dom(v1) = v2) |  ~ (relation_image(v1, v3) = v4) |  ~ relation(v1) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (( ~ in(v5, v0) |  ! [v8] : ( ~ (apply(v1, v8) = v5) |  ~ in(v8, v3) |  ~ in(v8, v2))) & (in(v5, v0) | (v7 = v5 & apply(v1, v6) = v5 & in(v6, v3) & in(v6, v2)))))
% 27.16/7.05  | (178)  ! [v0] : ( ~ preboolean(v0) | diff_closed(v0))
% 27.16/7.05  | (179)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ is_connected_in(v0, v1) |  ~ relation(v0) | connected(v0))
% 27.16/7.05  | (180)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (meet_commut(v0, v1, v2) = v3) |  ~ meet_semilatt_str(v0) |  ~ meet_commutative(v0) | empty_carrier(v0) |  ? [v4] : (the_carrier(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4))))
% 27.16/7.05  | (181)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_as_subset(v1, v0, v2) = v1) |  ~ relation_of2_as_subset(v2, v1, v0) |  ~ in(v3, v1) |  ? [v4] :  ? [v5] : (ordered_pair(v3, v4) = v5 & in(v5, v2)))
% 27.16/7.05  | (182) empty(all_0_13_13)
% 27.16/7.05  | (183)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_inverse_image(v3, v2) = v1) |  ~ (relation_inverse_image(v3, v2) = v0))
% 27.16/7.05  | (184)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_dom(v2) = v3 & relation_dom(v1) = v4 & set_intersection2(v4, v0) = v3))
% 27.16/7.05  | (185)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_pair(v0, v1) = v3) |  ~ subset(v3, v2) | in(v0, v2))
% 27.16/7.05  | (186)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (union(v1) = v2) |  ? [v3] :  ? [v4] : (( ~ in(v3, v0) |  ! [v5] : ( ~ in(v5, v1) |  ~ in(v3, v5))) & (in(v3, v0) | (in(v4, v1) & in(v3, v4)))))
% 27.16/7.05  | (187)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | preboolean(v1))
% 27.16/7.05  | (188)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_intersection2(v1, v2) = v4) |  ~ (set_intersection2(v0, v2) = v3) |  ~ subset(v0, v1) | subset(v3, v4))
% 27.16/7.05  | (189)  ! [v0] : ( ~ relation(v0) |  ~ function(v0) |  ~ empty(v0) | one_to_one(v0))
% 27.16/7.05  | (190)  ! [v0] :  ! [v1] : ( ~ epsilon_transitive(v0) |  ~ ordinal(v1) |  ~ proper_subset(v0, v1) | in(v0, v1))
% 27.16/7.05  | (191)  ? [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))
% 27.16/7.05  | (192)  ~ empty(all_0_5_5)
% 27.16/7.05  | (193)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (inclusion_relation(v0) = v1) |  ~ (relation_field(v1) = v2) |  ~ relation(v1))
% 27.16/7.05  | (194)  ? [v0] :  ! [v1] :  ! [v2] : (v1 = empty_set |  ~ (set_meet(v1) = v2) | in(v0, v2) |  ? [v3] : (in(v3, v1) &  ~ in(v0, v3)))
% 27.16/7.05  | (195)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v3_membered(v0) | v3_membered(v2))
% 27.16/7.05  | (196)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_triple(v0, v1, v2) = v3) | in(v1, v3))
% 27.16/7.05  | (197)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | function(v1))
% 27.16/7.05  | (198)  ? [v0] :  ? [v1] : (subset(v0, v1) |  ? [v2] : (in(v2, v0) &  ~ in(v2, v1)))
% 27.16/7.05  | (199)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) | element(v0, v2) |  ? [v3] : (in(v3, v0) &  ~ in(v3, v1)))
% 27.16/7.05  | (200)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | pair_second(v2) = v1)
% 27.16/7.05  | (201)  ? [v0] : (epsilon_connected(v0) |  ? [v1] :  ? [v2] : ( ~ (v2 = v1) & in(v2, v0) & in(v1, v0) &  ~ in(v2, v1) &  ~ in(v1, v2)))
% 27.16/7.05  | (202)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v1 = empty_set |  ~ (relation_inverse_image(v3, v2) = v4) |  ~ (apply(v3, v5) = v6) |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ function(v3) |  ~ in(v5, v4) | in(v5, v0))
% 27.16/7.05  | (203)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (meet_of_subsets(v3, v2) = v1) |  ~ (meet_of_subsets(v3, v2) = v0))
% 27.16/7.05  | (204)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_intersection2(v0, v0) = v1))
% 27.16/7.05  | (205)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v2_membered(v0) | v2_membered(v2))
% 27.16/7.05  | (206)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (subset_complement(v0, v3) = v4) |  ~ (powerset(v0) = v2) |  ~ subset(v1, v4) |  ~ element(v3, v2) |  ~ element(v1, v2) | disjoint(v1, v3))
% 27.16/7.05  | (207)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (relation_inverse_image(v1, v0) = v2) |  ~ (relation_image(v1, v2) = v3) |  ~ relation(v1) |  ~ function(v1) |  ? [v4] : (relation_rng(v1) = v4 &  ~ subset(v0, v4)))
% 27.16/7.05  | (208)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (set_intersection2(v0, v1) = v2) |  ~ disjoint(v0, v1))
% 27.16/7.05  | (209)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] :  ? [v3] : (function_inverse(v0) = v2 & relation_dom(v0) = v3 &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v6 |  ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v7) |  ~ (apply(v0, v6) = v5) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v6, v3)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v5 |  ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v6) |  ~ (apply(v0, v6) = v7) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v5, v1)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v7) |  ~ (apply(v0, v6) = v5) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v6, v3) | in(v5, v1)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v6) |  ~ (apply(v0, v6) = v7) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v5, v1) | in(v6, v3)) &  ! [v4] : (v4 = v2 |  ~ (relation_dom(v4) = v1) |  ~ relation(v4) |  ~ function(v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (apply(v4, v5) = v7 & apply(v0, v6) = v8 & ((v8 = v5 & in(v6, v3) & ( ~ (v7 = v6) |  ~ in(v5, v1))) | (v7 = v6 & in(v5, v1) & ( ~ (v8 = v5) |  ~ in(v6, v3)))))) &  ! [v4] : (v4 = v1 |  ~ (relation_dom(v2) = v4) |  ~ relation(v2) |  ~ function(v2))))
% 27.16/7.05  | (210)  ! [v0] : ( ~ ordinal(v0) |  ~ empty(v0) | epsilon_connected(v0))
% 27.16/7.05  | (211)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_as_subset(v0, v1, v2) = v3) |  ~ relation_of2(v2, v0, v1) |  ? [v4] : (powerset(v0) = v4 & element(v3, v4)))
% 27.16/7.06  | (212)  ! [v0] :  ! [v1] : ( ~ subset(v0, v1) |  ~ proper_subset(v1, v0))
% 27.16/7.06  | (213)  ? [v0] : (v0 = empty_set |  ? [v1] : in(v1, v0))
% 27.16/7.06  | (214)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v1) = v2) |  ~ in(v3, v0) | in(v3, v2))
% 27.16/7.06  | (215)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_triple(v0, v1, v2) = v3) | in(v2, v3))
% 27.16/7.06  | (216)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation(v1))
% 27.16/7.06  | (217)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (set_difference(v0, v1) = v2) |  ~ subset(v0, v1))
% 27.16/7.06  | (218)  ! [v0] : ( ~ empty(v0) | relation(v0))
% 27.16/7.06  | (219)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ well_orders(v1, v0) |  ~ relation(v1) | well_ordering(v2))
% 27.16/7.06  | (220)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (meet(v4, v3, v2) = v1) |  ~ (meet(v4, v3, v2) = v0))
% 27.16/7.06  | (221)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v1) = v2) |  ~ (relation_dom_restriction(v3, v0) = v4) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (relation_dom(v3) = v5 & set_intersection2(v5, v0) = v6 & ( ~ (v6 = v2) | v4 = v1 | ( ~ (v9 = v8) & apply(v3, v7) = v9 & apply(v1, v7) = v8 & in(v7, v2))) & ( ~ (v4 = v1) | (v6 = v2 &  ! [v10] :  ! [v11] : ( ~ (apply(v3, v10) = v11) |  ~ in(v10, v2) | apply(v1, v10) = v11) &  ! [v10] :  ! [v11] : ( ~ (apply(v1, v10) = v11) |  ~ in(v10, v2) | apply(v3, v10) = v11)))))
% 27.16/7.06  | (222) v2_membered(all_0_7_7)
% 27.16/7.06  | (223)  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] : ( ~ (v2 = empty_set) & relation_rng(v0) = v2))
% 27.16/7.06  | (224)  ! [v0] :  ! [v1] : ( ~ in(v1, v0) | empty(v0) | element(v1, v0))
% 27.16/7.06  | (225)  ! [v0] :  ! [v1] : ( ~ element(v1, v0) | empty(v0) | in(v1, v0))
% 27.16/7.06  | (226)  ! [v0] :  ! [v1] : ( ~ in(v0, v1) | element(v0, v1))
% 27.16/7.06  | (227)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom(v3) = v4) |  ~ (relation_dom(v1) = v2) |  ~ (set_intersection2(v4, v0) = v5) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (relation_dom_restriction(v3, v0) = v6 & ( ~ (v6 = v1) | (v5 = v2 &  ! [v10] :  ! [v11] : ( ~ (apply(v3, v10) = v11) |  ~ in(v10, v2) | apply(v1, v10) = v11) &  ! [v10] :  ! [v11] : ( ~ (apply(v1, v10) = v11) |  ~ in(v10, v2) | apply(v3, v10) = v11))) & ( ~ (v5 = v2) | v6 = v1 | ( ~ (v9 = v8) & apply(v3, v7) = v9 & apply(v1, v7) = v8 & in(v7, v2)))))
% 27.16/7.06  | (228)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_image(v0, v1) = v2) |  ~ relation(v0) |  ~ function(v0) |  ~ finite(v1) | finite(v2))
% 27.16/7.06  | (229)  ! [v0] : ( ~ empty(v0) | v4_membered(v0))
% 27.16/7.06  | (230)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ disjoint(v2, v1) |  ~ in(v0, v1))
% 27.16/7.06  | (231)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ~ natural(v0) | natural(v1))
% 27.16/7.06  | (232)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ? [v3] : (set_difference(v0, v3) = v2 & set_difference(v0, v1) = v3))
% 27.16/7.06  | (233)  ! [v0] : ( ~ element(v0, omega) | natural(v0))
% 27.16/7.06  | (234)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ element(v0, v2) | subset(v0, v1))
% 27.16/7.06  | (235)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ subset(v0, v1) | element(v0, v2))
% 27.16/7.06  | (236)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v1) = v2) |  ~ in(v3, v0) | in(v3, v2) | in(v3, v1))
% 27.16/7.06  | (237)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | finite(v1))
% 27.16/7.06  | (238)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_rng(v2) = v3 & relation_rng(v1) = v4 & set_intersection2(v4, v0) = v3))
% 27.16/7.06  | (239)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v0 |  ~ (relation_inverse_image(v1, v3) = v4) |  ~ (relation_dom(v1) = v2) |  ~ relation(v1) |  ~ function(v1) |  ? [v5] :  ? [v6] : (apply(v1, v5) = v6 & ( ~ in(v6, v3) |  ~ in(v5, v2) |  ~ in(v5, v0)) & (in(v5, v0) | (in(v6, v3) & in(v5, v2)))))
% 27.16/7.06  | (240)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) |  ~ relation(v0) |  ? [v3] : (set_intersection2(v0, v3) = v2 & cartesian_product2(v1, v1) = v3))
% 27.16/7.06  | (241)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (complements_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | ( ! [v5] :  ! [v6] : ( ~ (subset_complement(v0, v5) = v6) |  ~ element(v5, v3) |  ~ element(v2, v4) |  ~ in(v6, v1) | in(v5, v2)) &  ! [v5] :  ! [v6] : ( ~ (subset_complement(v0, v5) = v6) |  ~ element(v5, v3) |  ~ element(v2, v4) |  ~ in(v5, v2) | in(v6, v1)) &  ! [v5] : (v5 = v2 |  ~ element(v5, v4) |  ? [v6] :  ? [v7] : (subset_complement(v0, v6) = v7 & element(v6, v3) & ( ~ in(v7, v1) |  ~ in(v6, v5)) & (in(v7, v1) | in(v6, v5))))))))
% 27.16/7.06  | (242)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (apply(v2, v1) = v3) |  ~ (identity_relation(v0) = v2) |  ~ in(v1, v0))
% 27.16/7.06  | (243)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_composition(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ in(v5, v2) |  ? [v6] :  ? [v7] :  ? [v8] : (ordered_pair(v6, v4) = v8 & ordered_pair(v3, v6) = v7 & in(v8, v1) & in(v7, v0)))
% 27.16/7.06  | (244)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) | in(v0, v1))
% 27.16/7.06  | (245)  ! [v0] : ( ~ relation(v0) | transitive(v0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (ordered_pair(v2, v3) = v5 & ordered_pair(v1, v3) = v6 & ordered_pair(v1, v2) = v4 & in(v5, v0) & in(v4, v0) &  ~ in(v6, v0)))
% 27.16/7.06  | (246)  ~ empty(all_0_18_18)
% 27.16/7.06  | (247) v4_membered(empty_set)
% 27.16/7.06  | (248)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_inverse_image(v0, v2) = v3) |  ~ (relation_dom(v0) = v1) |  ~ (apply(v0, v4) = v5) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v5, v2) |  ~ in(v4, v1) | in(v4, v3))
% 27.16/7.06  | (249)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (subset_intersection2(v1, v2, v2) = v3) |  ? [v4] : (powerset(v1) = v4 & ( ~ element(v2, v4) |  ~ element(v0, v4))))
% 27.16/7.06  | (250)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) | in(v1, v4))
% 27.16/7.06  | (251)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v1, v0) = v2) |  ~ relation(v1) | subset(v2, v1))
% 27.16/7.06  | (252)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v4, v5) = v3) |  ~ (cartesian_product2(v0, v1) = v2) |  ~ in(v5, v1) |  ~ in(v4, v0) | in(v3, v2))
% 27.16/7.06  | (253)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_composition(v0, v2) = v3) |  ~ (relation_rng(v0) = v1) |  ~ relation(v2) |  ~ relation(v0) |  ? [v4] : (relation_rng(v3) = v4 & relation_image(v2, v1) = v4))
% 27.16/7.06  | (254)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v1, v2) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ subset(v0, v1) | subset(v3, v4))
% 27.16/7.07  | (255)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_composition(v5, v3) = v6) |  ~ (identity_relation(v2) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ relation(v3) |  ~ in(v4, v6) | in(v0, v2))
% 27.16/7.07  | (256)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v1))
% 27.16/7.07  | (257)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | element(v2, v3))))
% 27.16/7.07  | (258)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_rng(v1) = v0)
% 27.16/7.07  | (259)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (meet(v0, v2, v3) = v4) |  ~ (join(v0, v4, v3) = v5) |  ~ (the_carrier(v0) = v1) |  ~ meet_absorbing(v0) |  ~ latt_str(v0) |  ~ element(v3, v1) |  ~ element(v2, v1) | empty_carrier(v0))
% 27.16/7.07  | (260)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (join_commut(v4, v3, v2) = v1) |  ~ (join_commut(v4, v3, v2) = v0))
% 27.16/7.07  | (261)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ meet_semilatt_str(v0) |  ? [v2] :  ? [v3] : (the_L_meet(v0) = v2 & cartesian_product2(v1, v1) = v3 & quasi_total(v2, v3, v1) & relation_of2_as_subset(v2, v3, v1) & function(v2)))
% 27.16/7.07  | (262)  ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0))
% 27.16/7.07  | (263)  ! [v0] : ( ~ ordinal(v0) |  ~ empty(v0) | natural(v0))
% 27.16/7.07  | (264) cast_as_carrier_subset(all_0_39_39) = all_0_36_36
% 27.16/7.07  | (265)  ! [v0] :  ! [v1] : ( ~ ordinal(v1) |  ~ ordinal(v0) | ordinal_subset(v1, v0) | ordinal_subset(v0, v1))
% 27.16/7.07  | (266)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (cartesian_product2(v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (( ~ in(v4, v0) |  ! [v8] :  ! [v9] : ( ~ (ordered_pair(v8, v9) = v4) |  ~ in(v9, v2) |  ~ in(v8, v1))) & (in(v4, v0) | (v7 = v4 & ordered_pair(v5, v6) = v4 & in(v6, v2) & in(v5, v1)))))
% 27.16/7.07  | (267)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join_commut(v0, v1, v2) = v3) |  ~ join_semilatt_str(v0) |  ~ join_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (the_carrier(v0) = v4 & join_commut(v0, v2, v1) = v5 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4))))
% 27.16/7.07  | (268)  ! [v0] : (v0 = empty_set |  ~ relation(v0) |  ? [v1] :  ? [v2] :  ? [v3] : (ordered_pair(v1, v2) = v3 & in(v3, v0)))
% 27.16/7.07  | (269)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_rng_restriction(v3, v2) = v1) |  ~ (relation_rng_restriction(v3, v2) = v0))
% 27.16/7.07  | (270)  ! [v0] :  ! [v1] : ( ~ (set_intersection2(v0, v1) = empty_set) | disjoint(v0, v1))
% 27.16/7.07  | (271)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (join(v0, v2, v3) = v4) |  ~ (the_carrier(v0) = v1) |  ~ below(v0, v2, v3) |  ~ join_semilatt_str(v0) |  ~ element(v3, v1) |  ~ element(v2, v1) | empty_carrier(v0))
% 27.16/7.07  | (272)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_inverse(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v1) |  ~ relation(v0) | in(v4, v1) |  ? [v5] : (ordered_pair(v3, v2) = v5 &  ~ in(v5, v0)))
% 27.16/7.07  | (273) relation(all_0_15_15)
% 27.16/7.07  | (274)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_restriction(v2, v1) = v3) |  ~ relation(v2) |  ~ function(v2) |  ? [v4] :  ? [v5] : (relation_dom(v3) = v4 & relation_dom(v2) = v5 & ( ~ in(v0, v5) |  ~ in(v0, v1) | in(v0, v4)) & ( ~ in(v0, v4) | (in(v0, v5) & in(v0, v1)))))
% 27.16/7.07  | (275)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v1, v3) = v5) |  ~ (ordered_pair(v1, v2) = v4) |  ~ transitive(v0) |  ~ relation(v0) |  ~ in(v4, v0) | in(v5, v0) |  ? [v6] : (ordered_pair(v2, v3) = v6 &  ~ in(v6, v0)))
% 27.16/7.07  | (276)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (powerset(v1) = v2) |  ? [v3] : (( ~ subset(v3, v1) |  ~ in(v3, v0)) & (subset(v3, v1) | in(v3, v0))))
% 27.16/7.07  | (277)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v2) = v4) |  ~ (powerset(v1) = v3) |  ~ relation(v2) |  ~ function(v2) |  ? [v5] :  ? [v6] :  ? [v7] : (powerset(v4) = v6 & powerset(v3) = v5 & ( ~ element(v0, v5) | ( ! [v8] :  ! [v9] : ( ~ (relation_image(v2, v8) = v9) |  ~ in(v9, v0) |  ~ in(v8, v6) | in(v8, v7)) &  ! [v8] :  ! [v9] : ( ~ (relation_image(v2, v8) = v9) |  ~ in(v8, v7) | in(v9, v0)) &  ! [v8] :  ! [v9] : ( ~ (relation_image(v2, v8) = v9) |  ~ in(v8, v7) | in(v8, v6))))))
% 27.16/7.07  | (278)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] : (relation_composition(v3, v1) = v2 & identity_relation(v0) = v3))
% 27.16/7.07  | (279)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_rng(v4) = v5) |  ~ (relation_field(v2) = v3) |  ~ (relation_field(v0) = v1) |  ~ relation(v4) |  ~ relation(v2) |  ~ relation(v0) |  ~ function(v4) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (relation_dom(v4) = v6 & ( ~ (v6 = v1) |  ~ (v5 = v3) |  ~ one_to_one(v4) | relation_isomorphism(v0, v2, v4) | (apply(v4, v8) = v11 & apply(v4, v7) = v10 & ordered_pair(v10, v11) = v12 & ordered_pair(v7, v8) = v9 & ( ~ in(v12, v2) |  ~ in(v9, v0) |  ~ in(v8, v1) |  ~ in(v7, v1)) & (in(v9, v0) | (in(v12, v2) & in(v8, v1) & in(v7, v1))))) & ( ~ relation_isomorphism(v0, v2, v4) | (v6 = v1 & v5 = v3 & one_to_one(v4) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) |  ~ in(v17, v2) |  ~ in(v14, v1) |  ~ in(v13, v1) |  ? [v18] : (ordered_pair(v13, v14) = v18 & in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) | in(v17, v2) |  ? [v18] : (ordered_pair(v13, v14) = v18 &  ~ in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) | in(v14, v1) |  ? [v18] : (ordered_pair(v13, v14) = v18 &  ~ in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (apply(v4, v14) = v16) |  ~ (apply(v4, v13) = v15) |  ~ (ordered_pair(v15, v16) = v17) | in(v13, v1) |  ? [v18] : (ordered_pair(v13, v14) = v18 &  ~ in(v18, v0))) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v15, v0) | in(v14, v1)) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v15, v0) | in(v13, v1)) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v15, v0) |  ? [v16] :  ? [v17] :  ? [v18] : (apply(v4, v14) = v17 & apply(v4, v13) = v16 & ordered_pair(v16, v17) = v18 & in(v18, v2))) &  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ordered_pair(v13, v14) = v15) |  ~ in(v14, v1) |  ~ in(v13, v1) | in(v15, v0) |  ? [v16] :  ? [v17] :  ? [v18] : (apply(v4, v14) = v17 & apply(v4, v13) = v16 & ordered_pair(v16, v17) = v18 &  ~ in(v18, v2)))))))
% 27.16/7.07  | (280)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = empty_set |  ~ (subset_difference(v0, v2, v3) = v4) |  ~ (meet_of_subsets(v0, v1) = v3) |  ~ (cast_to_subset(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (union_of_subsets(v0, v7) = v8 & complements_of_subsets(v0, v1) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & (v8 = v4 |  ~ element(v1, v6))))
% 27.16/7.07  | (281)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) | relation(v2))
% 27.16/7.07  | (282)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_image(v0, v1) = v2) |  ~ (ordered_pair(v4, v3) = v5) |  ~ relation(v0) |  ~ in(v5, v0) |  ~ in(v4, v1) | in(v3, v2))
% 27.16/7.07  | (283)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (unordered_pair(v1, v2) = v3) |  ? [v4] : ((v4 = v2 | v4 = v1 | in(v4, v0)) & ( ~ in(v4, v0) | ( ~ (v4 = v2) &  ~ (v4 = v1)))))
% 27.16/7.07  | (284)  ! [v0] :  ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_dom(v1) = v0)
% 27.16/7.07  | (285)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v0) = v1) |  ~ in(v3, v0) |  ~ in(v2, v3) | in(v2, v1))
% 27.16/7.08  | (286)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_intersection2(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (subset_intersection2(v0, v2, v1) = v5 & powerset(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4))))
% 27.16/7.08  | (287)  ~ empty(all_0_15_15)
% 27.16/7.08  | (288)  ! [v0] :  ! [v1] : ( ~ ordinal(v1) |  ~ in(v0, v1) | ordinal(v0))
% 27.16/7.08  | (289) one_sorted_str(all_0_39_39)
% 27.16/7.08  | (290)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ~ being_limit_ordinal(v0) |  ~ ordinal(v1) |  ~ ordinal(v0) |  ~ in(v1, v0) | in(v2, v0))
% 27.16/7.08  | (291)  ! [v0] :  ! [v1] : ( ~ in(v1, v0) |  ~ in(v0, v1))
% 27.16/7.08  | (292)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | in(v1, v2))
% 27.16/7.08  | (293)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom(v2) = v3) |  ~ relation_of2_as_subset(v2, v0, v1) | subset(v3, v0))
% 27.16/7.08  | (294) relation_empty_yielding(all_0_21_21)
% 27.16/7.08  | (295) empty(all_0_12_12)
% 27.16/7.08  | (296)  ? [v0] :  ? [v1] : element(v1, v0)
% 27.16/7.08  | (297)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ relation(v0) | relation(v2))
% 27.16/7.08  | (298)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | disjoint(v0, v1) |  ? [v3] : in(v3, v2))
% 27.16/7.08  | (299)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v4_membered(v0) | v2_membered(v2))
% 27.16/7.08  | (300)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v1) = v2) |  ~ in(v0, v1) | subset(v0, v2))
% 27.16/7.08  | (301)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (subset_complement(v0, v3) = v4) |  ~ (powerset(v0) = v2) |  ~ disjoint(v1, v3) |  ~ element(v3, v2) |  ~ element(v1, v2) | subset(v1, v4))
% 27.16/7.08  | (302)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_dom(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_composition(v0, v3) = v4) |  ~ relation(v3) |  ? [v5] :  ? [v6] : (relation_dom(v4) = v6 & relation_dom(v3) = v5 & (v6 = v2 |  ~ subset(v1, v5)))) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ subset(v1, v4) |  ~ relation(v3) |  ? [v5] : (relation_composition(v0, v3) = v5 & relation_dom(v5) = v2))))
% 27.16/7.08  | (303)  ! [v0] :  ! [v1] : ( ~ empty(v1) |  ~ empty(v0) | element(v1, v0))
% 27.16/7.08  | (304)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union(v0) = v1) |  ~ in(v2, v1) |  ? [v3] : (in(v3, v0) & in(v2, v3)))
% 27.16/7.08  | (305)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_inverse_image(v2, v1) = v3) |  ~ relation(v2) |  ? [v4] :  ? [v5] :  ? [v6] : (relation_rng(v2) = v4 & ( ~ in(v0, v3) | (ordered_pair(v0, v5) = v6 & in(v6, v2) & in(v5, v4) & in(v5, v1))) & (in(v0, v3) |  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v0, v7) = v8) |  ~ in(v8, v2) |  ~ in(v7, v4) |  ~ in(v7, v1)))))
% 27.16/7.08  | (306) ordinal(all_0_8_8)
% 27.16/7.08  | (307)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (relation_composition(v0, v1) = v2) |  ~ relation(v3) |  ~ relation(v1) |  ~ relation(v0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (ordered_pair(v4, v5) = v6 & ( ~ in(v6, v3) | ( ! [v10] :  ! [v11] : ( ~ (ordered_pair(v10, v5) = v11) |  ~ in(v11, v1) |  ? [v12] : (ordered_pair(v4, v10) = v12 &  ~ in(v12, v0))) &  ! [v10] :  ! [v11] : ( ~ (ordered_pair(v4, v10) = v11) |  ~ in(v11, v0) |  ? [v12] : (ordered_pair(v10, v5) = v12 &  ~ in(v12, v1))))) & (in(v6, v3) | (ordered_pair(v7, v5) = v9 & ordered_pair(v4, v7) = v8 & in(v9, v1) & in(v8, v0)))))
% 27.16/7.08  | (308)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ empty(v0) | empty(v1))
% 27.16/7.08  | (309)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) |  ~ empty(v2))
% 27.16/7.08  | (310)  ! [v0] : ( ~ ordinal(v0) | being_limit_ordinal(v0) |  ? [v1] :  ? [v2] : (succ(v1) = v2 & ordinal(v1) & in(v1, v0) &  ~ in(v2, v0)))
% 27.16/7.08  | (311)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_rng_as_subset(v4, v3, v2) = v1) |  ~ (relation_rng_as_subset(v4, v3, v2) = v0))
% 27.16/7.08  | (312)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_rng(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) | subset(v2, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) |  ? [v5] : (relation_dom(v3) = v5 & subset(v1, v5))) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) | subset(v1, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) |  ? [v5] : (relation_rng(v3) = v5 & subset(v2, v5)))))
% 27.16/7.08  | (313)  ! [v0] :  ! [v1] : ( ~ ordinal(v1) |  ~ in(v1, v0) |  ? [v2] : (ordinal(v2) & in(v2, v0) &  ! [v3] : ( ~ ordinal(v3) |  ~ in(v3, v0) | ordinal_subset(v2, v3))))
% 27.16/7.08  | (314)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (meet_commut(v4, v3, v2) = v1) |  ~ (meet_commut(v4, v3, v2) = v0))
% 27.16/7.08  | (315)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ element(v1, v0) | v1_xreal_0(v1))
% 27.16/7.08  | (316)  ! [v0] : ( ~ well_ordering(v0) |  ~ relation(v0) | reflexive(v0))
% 27.16/7.08  | (317)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v3_membered(v0) | v1_membered(v2))
% 27.16/7.08  | (318)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v1_membered(v0) | v1_membered(v2))
% 27.16/7.08  | (319)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ? [v3] : (set_difference(v3, v1) = v2 & set_union2(v0, v1) = v3))
% 27.16/7.08  | (320)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_intersection2(v1, v2) = v3) |  ? [v4] : (( ~ in(v4, v2) |  ~ in(v4, v1) |  ~ in(v4, v0)) & (in(v4, v0) | (in(v4, v2) & in(v4, v1)))))
% 27.16/7.08  | (321)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_rng(v0) = v2 & ( ~ (v2 = empty_set) | v1 = empty_set) & ( ~ (v1 = empty_set) | v2 = empty_set)))
% 27.16/7.08  | (322)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) |  ~ empty(v1))
% 27.16/7.08  | (323)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v5_membered(v0) | v4_membered(v2))
% 27.16/7.08  | (324)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_triple(v0, v1, v2) = v3) | in(v0, v3))
% 27.16/7.08  | (325)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v1, v2) = v3) | relation(v0) |  ? [v4] : (powerset(v3) = v4 &  ~ element(v0, v4)))
% 27.16/7.08  | (326)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v2) = v1) |  ~ one_to_one(v2) |  ~ relation(v2) |  ~ function(v2) | equipotent(v1, v0) |  ? [v3] : ( ~ (v3 = v0) & relation_rng(v2) = v3))
% 27.16/7.08  | (327)  ! [v0] :  ! [v1] : ( ~ ordinal_subset(v0, v1) |  ~ ordinal(v1) |  ~ ordinal(v0) | subset(v0, v1))
% 27.16/7.08  | (328)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ~ natural(v0) | epsilon_connected(v1))
% 27.16/7.08  | (329)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subset_complement(v0, v1) = v2) |  ? [v3] : (powerset(v0) = v3 & ( ~ element(v1, v3) | element(v2, v3))))
% 27.16/7.08  | (330)  ! [v0] :  ! [v1] : ( ~ (union(v0) = v1) |  ~ ordinal(v0) | ordinal(v1))
% 27.16/7.08  | (331)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ~ ordinal(v1) |  ? [v3] : ( ! [v4] : ( ~ ordinal(v4) |  ~ in(v4, v2) |  ~ in(v4, v0) | in(v4, v3)) &  ! [v4] : ( ~ in(v4, v3) | in(v4, v2)) &  ! [v4] : ( ~ in(v4, v3) | (ordinal(v4) & in(v4, v0)))))
% 27.16/7.08  | (332)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ one_sorted_str(v0) |  ? [v2] :  ? [v3] : (cast_as_carrier_subset(v0) = v3 & powerset(v1) = v2 &  ! [v4] :  ! [v5] : (v5 = v4 |  ~ (subset_intersection2(v1, v4, v3) = v5) |  ~ element(v4, v2))))
% 27.16/7.08  | (333)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v5_membered(v0) | v1_membered(v2))
% 27.16/7.08  | (334)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v5_membered(v0) | v1_membered(v2))
% 27.16/7.08  | (335)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_restriction(v1, v2) = v3) |  ~ relation(v2) |  ? [v4] :  ? [v5] : (relation_rng(v3) = v4 & relation_rng(v2) = v5 & ( ~ in(v0, v5) |  ~ in(v0, v1) | in(v0, v4)) & ( ~ in(v0, v4) | (in(v0, v5) & in(v0, v1)))))
% 27.16/7.08  | (336)  ! [v0] :  ! [v1] : ( ~ in(v0, v1) |  ? [v2] : (in(v2, v1) &  ! [v3] : ( ~ in(v3, v2) |  ~ in(v3, v1))))
% 27.16/7.08  | (337)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ element(v1, v0) | v1_xreal_0(v1))
% 27.16/7.08  | (338)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3))
% 27.16/7.08  | (339)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v4_membered(v0) | v4_membered(v2))
% 27.16/7.08  | (340)  ? [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))
% 27.16/7.08  | (341) finite(all_0_5_5)
% 27.16/7.08  | (342)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_image(v1, v0) = v2) |  ~ relation(v1) |  ~ function(v1) |  ~ finite(v0) | finite(v2))
% 27.16/7.08  | (343) subset_complement(all_0_38_38, all_0_35_35) = all_0_34_34
% 27.16/7.08  | (344)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ empty(v0) | relation(v1))
% 27.16/7.09  | (345)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_dom(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_composition(v3, v0) = v4) |  ~ relation(v3) |  ? [v5] :  ? [v6] : (relation_rng(v4) = v6 & relation_rng(v3) = v5 & (v6 = v1 |  ~ subset(v2, v5)))) &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ subset(v2, v4) |  ~ relation(v3) |  ? [v5] : (relation_composition(v3, v0) = v5 & relation_rng(v5) = v1))))
% 27.16/7.09  | (346)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (meet_commut(v0, v1, v2) = v3) |  ~ meet_semilatt_str(v0) |  ~ meet_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (meet(v0, v1, v2) = v5 & the_carrier(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4))))
% 27.16/7.09  | (347)  ~ empty_carrier(all_0_20_20)
% 27.16/7.09  | (348)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v0 | v2 = v0 |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v4))
% 27.16/7.09  | (349)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] : (relation_rng_restriction(v0, v1) = v3 & relation_dom_restriction(v3, v0) = v2))
% 27.16/7.09  | (350)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_L_join(v2) = v1) |  ~ (the_L_join(v2) = v0))
% 27.16/7.09  | (351)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v1, v0) = v2) |  ~ relation(v1) |  ~ empty(v0) | empty(v2))
% 27.16/7.09  | (352)  ? [v0] : (epsilon_transitive(v0) |  ? [v1] : (in(v1, v0) &  ~ subset(v1, v0)))
% 27.16/7.09  | (353)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ well_ordering(v1) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_field(v2) = v4 & relation_field(v1) = v3 & (v4 = v0 |  ~ subset(v0, v3))))
% 27.16/7.09  | (354)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join(v0, v1, v2) = v3) |  ~ join_semilatt_str(v0) | empty_carrier(v0) |  ? [v4] : (the_carrier(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4))))
% 27.16/7.09  | (355)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ in(v2, v1) |  ? [v3] :  ? [v4] : (ordered_pair(v2, v3) = v4 & in(v4, v0)))
% 27.16/7.09  | (356)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_dom(v0) = v2 & ( ~ (v2 = empty_set) | v1 = empty_set) & ( ~ (v1 = empty_set) | v2 = empty_set)))
% 27.16/7.09  | (357)  ! [v0] :  ! [v1] : ( ~ (set_difference(v0, v1) = v0) | disjoint(v0, v1))
% 27.16/7.09  | (358)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v2_membered(v0) | v1_membered(v2))
% 27.16/7.09  | (359)  ! [v0] :  ! [v1] : ( ~ epsilon_transitive(v0) |  ~ in(v1, v0) | subset(v1, v0))
% 27.16/7.09  | (360) ordinal(all_0_4_4)
% 27.16/7.09  | (361)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) | relation(v2))
% 27.16/7.09  | (362)  ? [v0] :  ! [v1] : ( ~ relation(v1) | empty(v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ((v6 = v2 & v5 = v2 &  ~ (v4 = v3) & in(v4, v2) & in(v3, v2) & in(v2, v0) &  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v4, v7) = v8) |  ~ in(v7, v2) | in(v8, v1)) &  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v3, v7) = v8) |  ~ in(v7, v2) | in(v8, v1))) | (v3 = v0 & relation_dom(v2) = v0 & relation(v2) & function(v2) &  ! [v7] :  ! [v8] : ( ~ (apply(v2, v7) = v8) |  ~ in(v7, v0) | (in(v8, v7) &  ! [v9] :  ! [v10] : ( ~ (ordered_pair(v8, v9) = v10) |  ~ in(v9, v7) | in(v10, v1))))) | (in(v2, v0) &  ! [v7] : ( ~ in(v7, v2) |  ? [v8] :  ? [v9] : (ordered_pair(v7, v8) = v9 & in(v8, v2) &  ~ in(v9, v1))))))
% 27.16/7.09  | (363)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v0 = empty_set |  ~ (subset_complement(v0, v2) = v3) |  ~ (powerset(v0) = v1) |  ~ element(v4, v0) |  ~ element(v2, v1) | in(v4, v3) | in(v4, v2))
% 27.16/7.09  | (364) ordinal(omega)
% 27.16/7.09  | (365)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ finite(v0) |  ? [v2] : (powerset(v1) = v2 &  ! [v3] : (v3 = empty_set |  ~ element(v3, v2) |  ? [v4] : (in(v4, v3) &  ! [v5] : (v5 = v4 |  ~ subset(v4, v5) |  ~ in(v5, v3))))))
% 27.16/7.09  | (366)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ well_orders(v1, v0) |  ~ relation(v1) | relation_field(v2) = v0)
% 27.16/7.09  | (367)  ! [v0] :  ! [v1] : ( ~ subset(v0, v1) |  ~ finite(v1) | finite(v0))
% 27.16/7.09  | (368)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v1, v2) = v3) |  ? [v4] : (( ~ in(v4, v1) |  ~ in(v4, v0) | in(v4, v2)) & (in(v4, v0) | (in(v4, v1) &  ~ in(v4, v2)))))
% 27.16/7.09  | (369)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (set_difference(v0, v1) = v2) |  ~ disjoint(v0, v1))
% 27.16/7.09  | (370)  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ element(v1, v0) | v1_rat_1(v1))
% 27.16/7.09  | (371)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 | v0 = empty_set |  ~ (singleton(v1) = v2) |  ~ subset(v0, v2))
% 27.16/7.09  | (372)  ! [v0] :  ! [v1] : ( ~ proper_subset(v0, v1) | subset(v0, v1))
% 27.16/7.09  | (373) empty(all_0_11_11)
% 27.16/7.09  | (374)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | pair_first(v2) = v0)
% 27.16/7.09  | (375)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pair_first(v2) = v1) |  ~ (pair_first(v2) = v0))
% 27.16/7.09  | (376)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_image(v3, v2) = v1) |  ~ (relation_image(v3, v2) = v0))
% 27.16/7.09  | (377)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v1) |  ~ in(v4, v1) | in(v2, v0))
% 27.16/7.09  | (378)  ? [v0] :  ! [v1] : ( ~ relation(v1) | is_connected_in(v1, v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v3 = v2) & ordered_pair(v3, v2) = v5 & ordered_pair(v2, v3) = v4 & in(v3, v0) & in(v2, v0) &  ~ in(v5, v1) &  ~ in(v4, v1)))
% 27.16/7.09  | (379)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ element(v2, v1) |  ~ v1_membered(v0) | v1_membered(v2))
% 27.16/7.09  | (380)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v1, v2) = v4) |  ~ (powerset(v0) = v3) |  ~ element(v2, v3) |  ~ element(v1, v3) | subset_difference(v0, v1, v2) = v4)
% 27.16/7.09  | (381)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (apply_binary(v4, v3, v2) = v1) |  ~ (apply_binary(v4, v3, v2) = v0))
% 27.16/7.09  | (382)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_intersection2(v0, v2, v1) = v3) |  ? [v4] :  ? [v5] : (subset_intersection2(v0, v1, v2) = v5 & powerset(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4))))
% 27.16/7.09  | (383)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ epsilon_connected(v0) |  ~ in(v2, v0) |  ~ in(v1, v0) | in(v2, v1) | in(v1, v2))
% 27.16/7.09  | (384)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (relation_dom_restriction(v0, v1) = v3) |  ~ relation(v2) |  ~ relation(v0) |  ? [v4] :  ? [v5] :  ? [v6] : (ordered_pair(v4, v5) = v6 & ( ~ in(v6, v2) |  ~ in(v6, v0) |  ~ in(v4, v1)) & (in(v6, v2) | (in(v6, v0) & in(v4, v1)))))
% 27.16/7.09  | (385) join_semilatt_str(all_0_2_2)
% 27.16/7.09  | (386)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ relation_empty_yielding(v0) |  ~ relation(v0) | relation(v2))
% 27.16/7.09  | (387)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v5_membered(v0) |  ~ element(v2, v1) | v4_membered(v2))
% 27.16/7.09  | (388)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ (relation_dom(v1) = v2) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v3, v1) = v5 & relation_dom(v5) = v6 & apply(v3, v0) = v7 & ( ~ in(v7, v2) |  ~ in(v0, v4) | in(v0, v6)) & ( ~ in(v0, v6) | (in(v7, v2) & in(v0, v4)))))
% 27.16/7.09  | (389)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) | in(v0, v4))
% 27.16/7.09  | (390)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (inclusion_relation(v2) = v1) |  ~ (inclusion_relation(v2) = v0))
% 27.16/7.09  | (391)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ is_well_founded_in(v0, v1) |  ~ relation(v0) | well_founded_relation(v0))
% 27.16/7.09  | (392)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (singleton(v0) = v1) |  ~ in(v2, v1))
% 27.16/7.09  | (393)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v5_membered(v0) |  ~ element(v2, v1) | v5_membered(v2))
% 27.16/7.09  | (394)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom(v0) = v1) |  ~ (relation_image(v0, v2) = v3) |  ~ (apply(v0, v5) = v4) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v5, v2) |  ~ in(v5, v1) | in(v4, v3))
% 27.16/7.09  | (395) epsilon_connected(empty_set)
% 27.16/7.09  | (396)  ! [v0] : ( ~ ordinal(v0) | epsilon_transitive(v0))
% 27.16/7.09  | (397)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subset(v1, v2) |  ~ subset(v0, v1) | subset(v0, v2))
% 27.16/7.09  | (398)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_composition(v0, v1) = v2) |  ~ (ordered_pair(v6, v4) = v7) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ in(v7, v1) | in(v5, v2) |  ? [v8] : (ordered_pair(v3, v6) = v8 &  ~ in(v8, v0)))
% 27.16/7.09  | (399)  ! [v0] : ( ~ well_ordering(v0) |  ~ relation(v0) | transitive(v0))
% 27.16/7.09  | (400)  ~ empty(omega)
% 27.16/7.09  | (401)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ empty(v0) | empty(v1))
% 27.16/7.09  | (402)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ordered_pair(v3, v2) = v1) |  ~ (ordered_pair(v3, v2) = v0))
% 27.16/7.09  | (403)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ~ empty(v1))
% 27.16/7.09  | (404)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (meet_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ( ~ element(v1, v4) | element(v2, v3))))
% 27.16/7.09  | (405)  ? [v0] :  ? [v1] :  ? [v2] : (relation_of2(v2, v0, v1) & quasi_total(v2, v0, v1) & relation(v2) & function(v2))
% 27.16/7.09  | (406)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v4_membered(v0) | v3_membered(v2))
% 27.16/7.09  | (407) epsilon_transitive(all_0_8_8)
% 27.16/7.09  | (408)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_restriction(v3, v2) = v1) |  ~ (relation_restriction(v3, v2) = v0))
% 27.16/7.09  | (409)  ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0))
% 27.16/7.09  | (410)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ in(v3, v1) |  ~ in(v3, v0) | in(v3, v2))
% 27.16/7.09  | (411)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (union_of_subsets(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (union(v1) = v5 & powerset(v3) = v4 & powerset(v0) = v3 & (v5 = v2 |  ~ element(v1, v4))))
% 27.16/7.09  | (412)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v5_membered(v0) |  ~ element(v2, v1) | v3_membered(v2))
% 27.16/7.09  | (413)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ? [v2] : (singleton(v0) = v2 & set_union2(v0, v2) = v1))
% 27.16/7.09  | (414)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v5_membered(v0) | v5_membered(v2))
% 27.16/7.09  | (415)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_union2(v1, v2) = v3) |  ? [v4] : (( ~ in(v4, v0) | ( ~ in(v4, v2) &  ~ in(v4, v1))) & (in(v4, v2) | in(v4, v1) | in(v4, v0))))
% 27.16/7.09  | (416)  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] :  ? [v3] : (relation_rng(v0) = v2 & relation_dom(v0) = v3 &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v6 |  ~ (relation_dom(v1) = v4) |  ~ (apply(v1, v5) = v7) |  ~ (apply(v0, v6) = v5) |  ~ relation(v1) |  ~ function(v1) |  ~ in(v6, v3)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v5 |  ~ (relation_dom(v1) = v4) |  ~ (apply(v1, v5) = v6) |  ~ (apply(v0, v6) = v7) |  ~ relation(v1) |  ~ function(v1) |  ~ in(v5, v2)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_dom(v1) = v4) |  ~ (apply(v1, v5) = v7) |  ~ (apply(v0, v6) = v5) |  ~ relation(v1) |  ~ function(v1) |  ~ in(v6, v3) | in(v5, v2)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_dom(v1) = v4) |  ~ (apply(v1, v5) = v6) |  ~ (apply(v0, v6) = v7) |  ~ relation(v1) |  ~ function(v1) |  ~ in(v5, v2) | in(v6, v3)) &  ! [v4] : (v4 = v2 |  ~ (relation_dom(v1) = v4) |  ~ relation(v1) |  ~ function(v1)) &  ! [v4] : (v4 = v1 |  ~ (relation_dom(v4) = v2) |  ~ relation(v4) |  ~ function(v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (apply(v4, v5) = v7 & apply(v0, v6) = v8 & ((v8 = v5 & in(v6, v3) & ( ~ (v7 = v6) |  ~ in(v5, v2))) | (v7 = v6 & in(v5, v2) & ( ~ (v8 = v5) |  ~ in(v6, v3))))))))
% 27.16/7.10  | (417)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_isomorphism(v0, v1, v2) |  ~ reflexive(v0) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | reflexive(v1))
% 27.16/7.10  | (418)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) |  ? [v3] : ( ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v5, v6) = v4) |  ~ in(v5, v0) |  ~ in(v4, v2) | in(v4, v3) |  ? [v7] : ( ~ (v7 = v6) & singleton(v5) = v7)) &  ! [v4] : ( ~ in(v4, v3) | in(v4, v2)) &  ! [v4] : ( ~ in(v4, v3) |  ? [v5] :  ? [v6] : (singleton(v5) = v6 & ordered_pair(v5, v6) = v4 & in(v5, v0)))))
% 27.16/7.10  | (419)  ! [v0] :  ! [v1] : ( ~ (union(v0) = v1) |  ~ ordinal(v0) | epsilon_transitive(v1))
% 27.16/7.10  | (420)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v0))
% 27.16/7.10  | (421)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ? [v2] : ( ! [v3] :  ! [v4] : ( ~ (powerset(v3) = v4) |  ~ ordinal(v3) |  ~ in(v3, v1) | in(v3, v2) | in(v3, omega)) &  ! [v3] :  ! [v4] : ( ~ (powerset(v3) = v4) |  ~ ordinal(v3) |  ~ in(v3, v1) | in(v3, v2) |  ? [v5] :  ? [v6] : ( ~ (v6 = empty_set) & powerset(v4) = v5 & element(v6, v5) &  ! [v7] : ( ~ in(v7, v6) |  ? [v8] : ( ~ (v8 = v7) & subset(v7, v8) & in(v8, v6))))) &  ! [v3] : ( ~ in(v3, v2) | in(v3, v1)) &  ! [v3] : ( ~ in(v3, v2) |  ? [v4] :  ? [v5] : (powerset(v4) = v5 & powerset(v3) = v4 & ordinal(v3) & ( ~ in(v3, omega) |  ! [v6] : (v6 = empty_set |  ~ element(v6, v5) |  ? [v7] : (in(v7, v6) &  ! [v8] : (v8 = v7 |  ~ subset(v7, v8) |  ~ in(v8, v6)))))))))
% 27.16/7.10  | (422)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v2) = v3) |  ~ relation_of2_as_subset(v2, v0, v1) | subset(v3, v1))
% 27.16/7.10  | (423) v5_membered(empty_set)
% 27.16/7.10  | (424)  ! [v0] : ( ~ epsilon_connected(v0) |  ~ epsilon_transitive(v0) | ordinal(v0))
% 27.16/7.10  | (425)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v4_membered(v0) | v4_membered(v2))
% 27.16/7.10  | (426)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v5_membered(v0) | v2_membered(v2))
% 27.16/7.10  | (427)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) |  ~ subset(v0, v1))
% 27.16/7.10  | (428)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join(v0, v2, v3) = v3) |  ~ (the_carrier(v0) = v1) |  ~ join_semilatt_str(v0) |  ~ element(v3, v1) |  ~ element(v2, v1) | below(v0, v2, v3) | empty_carrier(v0))
% 27.16/7.10  | (429)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (inclusion_relation(v0) = v2) |  ~ (relation_field(v1) = v0) |  ~ relation(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (ordered_pair(v3, v4) = v5 & in(v4, v0) & in(v3, v0) & ( ~ subset(v3, v4) |  ~ in(v5, v1)) & (subset(v3, v4) | in(v5, v1))))
% 27.16/7.10  | (430)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v0) = v2) |  ~ element(v1, v2) |  ~ in(v3, v1) | in(v3, v0))
% 27.16/7.10  | (431)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (relation_field(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ connected(v0) |  ~ relation(v0) |  ~ in(v3, v1) |  ~ in(v2, v1) | in(v4, v0) |  ? [v5] : (ordered_pair(v3, v2) = v5 & in(v5, v0)))
% 27.16/7.10  | (432) epsilon_transitive(all_0_18_18)
% 27.16/7.10  | (433) v1_membered(all_0_7_7)
% 27.16/7.10  | (434)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] :  ? [v3] : (relation_inverse(v0) = v3 & relation_rng(v3) = v1 & relation_rng(v0) = v2 & relation_dom(v3) = v2))
% 27.16/7.10  | (435)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjoint(v0, v1) |  ~ in(v2, v1) |  ~ in(v2, v0))
% 27.16/7.10  | (436)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_carrier(v2) = v1) |  ~ (the_carrier(v2) = v0))
% 27.16/7.10  | (437)  ! [v0] : ( ~ empty(v0) | ordinal(v0))
% 27.16/7.10  | (438)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_rng(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_composition(v0, v3) = v4) |  ~ relation(v3) |  ? [v5] :  ? [v6] : (relation_dom(v4) = v6 & relation_dom(v3) = v5 & (v6 = v1 |  ~ subset(v2, v5)))) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ subset(v2, v4) |  ~ relation(v3) |  ? [v5] : (relation_composition(v0, v3) = v5 & relation_dom(v5) = v1))))
% 27.16/7.10  | (439)  ! [v0] :  ! [v1] : ( ~ (set_difference(v0, v1) = empty_set) | subset(v0, v1))
% 27.16/7.10  | (440)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ relation_of2_as_subset(v3, v2, v0) |  ~ subset(v0, v1) | relation_of2_as_subset(v3, v2, v1))
% 27.16/7.10  | (441)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v1) = v3) |  ~ relation_of2_as_subset(v2, v0, v1) |  ? [v4] : (powerset(v3) = v4 & element(v2, v4)))
% 27.16/7.10  | (442)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v1) |  ~ relation_of2_as_subset(v2, v0, v1) |  ~ in(v3, v1) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v3) = v5 & in(v5, v2)))
% 27.16/7.10  | (443)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_composition(v3, v1) = v4) |  ~ (relation_dom(v1) = v2) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v4) = v5 & relation_dom(v3) = v6 & apply(v3, v0) = v7 & ( ~ in(v7, v2) |  ~ in(v0, v6) | in(v0, v5)) & ( ~ in(v0, v5) | (in(v7, v2) & in(v0, v6)))))
% 27.16/7.10  | (444)  ! [v0] :  ! [v1] : ( ~ ordinal(v0) |  ~ element(v1, v0) | epsilon_transitive(v1))
% 27.16/7.10  | (445)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (ordered_pair(v2, v3) = v4) |  ~ is_antisymmetric_in(v0, v1) |  ~ relation(v0) |  ~ in(v4, v0) |  ~ in(v3, v1) |  ~ in(v2, v1) |  ? [v5] : (ordered_pair(v3, v2) = v5 &  ~ in(v5, v0)))
% 27.16/7.10  | (446)  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ element(v1, v0) | v1_xreal_0(v1))
% 27.16/7.10  | (447)  ? [v0] : (ordinal(v0) |  ? [v1] : (in(v1, v0) & ( ~ subset(v1, v0) |  ~ ordinal(v1))))
% 27.16/7.10  | (448)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (union(v1) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] :  ? [v5] : (union_of_subsets(v0, v1) = v5 & powerset(v2) = v4 & (v5 = v3 |  ~ element(v1, v4))))
% 27.16/7.10  | (449)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v0) |  ~ in(v5, v2) | in(v3, v1))
% 27.16/7.10  | (450)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ empty(v0) | relation(v1))
% 27.16/7.10  | (451)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v1) |  ~ in(v5, v2) | in(v4, v0))
% 27.16/7.10  | (452)  ! [v0] : ( ~ empty(v0) | function(v0))
% 27.16/7.10  | (453)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ latt_str(v0) | meet_absorbing(v0) | empty_carrier(v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v5 = v3) & meet(v0, v2, v3) = v4 & join(v0, v4, v3) = v5 & element(v3, v1) & element(v2, v1)))
% 27.16/7.10  | (454) element(all_0_35_35, all_0_37_37)
% 27.16/7.10  | (455)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) | function(v1))
% 27.16/7.10  | (456)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_image(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] : (relation_rng(v1) = v3 & subset(v2, v3)))
% 27.16/7.10  | (457)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v2) = v3) |  ~ (cartesian_product2(v1, v1) = v2) |  ~ relation(v0) | relation_restriction(v0, v1) = v3)
% 27.16/7.10  | (458)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v2_membered(v0) |  ~ element(v2, v1) | v2_membered(v2))
% 27.16/7.10  | (459)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (ordered_pair(v2, v3) = v4) |  ~ is_connected_in(v0, v1) |  ~ relation(v0) |  ~ in(v3, v1) |  ~ in(v2, v1) | in(v4, v0) |  ? [v5] : (ordered_pair(v3, v2) = v5 & in(v5, v0)))
% 27.16/7.10  | (460)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (the_carrier(v0) = v1) |  ~ (cartesian_product2(v1, v1) = v2) |  ~ join_semilatt_str(v0) |  ? [v3] : (the_L_join(v0) = v3 & quasi_total(v3, v2, v1) & relation_of2_as_subset(v3, v2, v1) & function(v3)))
% 27.16/7.10  | (461)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 | v3 = v0 |  ~ (unordered_pair(v0, v1) = v2) |  ~ in(v3, v2))
% 27.16/7.10  | (462)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_composition(v5, v3) = v6) |  ~ (identity_relation(v2) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ relation(v3) |  ~ in(v4, v6) | in(v4, v3))
% 27.16/7.10  | (463)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ~ natural(v0) | ordinal(v1))
% 27.16/7.10  | (464)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ connected(v1) |  ~ relation(v1) | connected(v2))
% 27.16/7.10  | (465)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v3_membered(v0) | v2_membered(v2))
% 27.16/7.10  | (466)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_intersection2(v3, v2) = v1) |  ~ (set_intersection2(v3, v2) = v0))
% 27.16/7.10  | (467) one_to_one(empty_set)
% 27.16/7.10  | (468)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) | subset(v2, v0))
% 27.16/7.10  | (469) relation(all_0_17_17)
% 27.16/7.10  | (470)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ antisymmetric(v1) |  ~ relation(v1) | antisymmetric(v2))
% 27.16/7.10  | (471)  ! [v0] :  ! [v1] : ( ~ (the_L_meet(v0) = v1) |  ~ meet_semilatt_str(v0) |  ? [v2] :  ? [v3] : (the_carrier(v0) = v2 & cartesian_product2(v2, v2) = v3 & quasi_total(v1, v3, v2) & relation_of2_as_subset(v1, v3, v2)))
% 27.16/7.10  | (472)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) | subset(v2, v1))
% 27.16/7.10  | (473)  ! [v0] :  ! [v1] : ( ~ (relation_dom_as_subset(empty_set, v0, v1) = empty_set) |  ~ relation_of2_as_subset(v1, empty_set, v0) | quasi_total(v1, empty_set, v0))
% 27.16/7.10  | (474)  ! [v0] : ( ~ relation(v0) | antisymmetric(v0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v2 = v1) & ordered_pair(v2, v1) = v4 & ordered_pair(v1, v2) = v3 & in(v4, v0) & in(v3, v0)))
% 27.16/7.10  | (475)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v1, v3) = v4) |  ~ (singleton(v2) = v3) |  ~ subset(v0, v1) | subset(v0, v4) | in(v2, v0))
% 27.16/7.10  | (476) epsilon_transitive(all_0_9_9)
% 27.16/7.10  | (477)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ finite(v0) | finite(v2))
% 27.16/7.10  | (478)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (union(v0) = v1) |  ~ being_limit_ordinal(v0))
% 27.16/7.10  | (479)  ? [v0] :  ? [v1] : ( ! [v2] :  ! [v3] : ( ~ (singleton(v3) = v2) |  ~ in(v3, v0) | in(v2, v1)) &  ! [v2] : ( ~ in(v2, v1) |  ? [v3] : (singleton(v3) = v2 & in(v3, v0))))
% 27.16/7.10  | (480)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v3_membered(v0) | v1_membered(v2))
% 27.16/7.11  | (481)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v2, v3) = v5) |  ~ (ordered_pair(v1, v2) = v4) |  ~ transitive(v0) |  ~ relation(v0) |  ~ in(v5, v0) |  ~ in(v4, v0) |  ? [v6] : (ordered_pair(v1, v3) = v6 & in(v6, v0)))
% 27.16/7.11  | (482)  ? [v0] : (empty(v0) |  ? [v1] :  ? [v2] : ((v2 = v0 & relation_dom(v1) = v0 & relation(v1) & function(v1) &  ! [v3] :  ! [v4] : ( ~ (apply(v1, v3) = v4) |  ~ in(v3, v0) | in(v4, v3))) | (v1 = empty_set & in(empty_set, v0))))
% 27.16/7.11  | (483) relation_empty_yielding(all_0_19_19)
% 27.16/7.11  | (484)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v1_membered(v0) | v1_membered(v2))
% 27.16/7.11  | (485)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ function(v2) |  ? [v5] : (apply(v2, v0) = v5 & ( ~ (v5 = v1) |  ~ in(v0, v4) | in(v3, v2)) & ( ~ in(v3, v2) | (v5 = v1 & in(v0, v4)))))
% 27.16/7.11  | (486)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join_commut(v0, v2, v1) = v3) |  ~ join_semilatt_str(v0) |  ~ join_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (the_carrier(v0) = v4 & join_commut(v0, v1, v2) = v5 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4))))
% 27.16/7.11  | (487)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) |  ? [v2] : (finite(v2) & element(v2, v1) &  ~ empty(v2)))
% 27.16/7.11  | (488)  ? [v0] : subset(v0, v0)
% 27.16/7.11  | (489)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ finite(v0) |  ~ element(v2, v1) | finite(v2))
% 27.16/7.11  | (490)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_as_subset(v0, v1, v2) = v3) |  ~ relation_of2(v2, v0, v1) | relation_dom(v2) = v3)
% 27.16/7.11  | (491)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] :  ? [v3] : (function_inverse(v0) = v3 & relation_rng(v3) = v1 & relation_rng(v0) = v2 & relation_dom(v3) = v2))
% 27.62/7.11  | (492)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (ordered_pair(v2, v1) = v3) |  ~ antisymmetric(v0) |  ~ relation(v0) |  ~ in(v3, v0) |  ? [v4] : (ordered_pair(v1, v2) = v4 &  ~ in(v4, v0)))
% 27.62/7.11  | (493)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ subset(v1, v2) |  ~ function(v3) | relation_of2_as_subset(v3, v0, v2))
% 27.62/7.11  | (494)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (complements_of_subsets(v0, v1) = empty_set) |  ? [v2] :  ? [v3] : (powerset(v2) = v3 & powerset(v0) = v2 &  ~ element(v1, v3)))
% 27.62/7.11  | (495)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v1 = empty_set |  ~ (relation_inverse_image(v3, v2) = v4) |  ~ (apply(v3, v5) = v6) |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ function(v3) |  ~ in(v6, v2) |  ~ in(v5, v0) | in(v5, v4))
% 27.62/7.11  | (496)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v1) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v2, v0) = v6 & cartesian_product2(v1, v2) = v5 & subset(v6, v4) & subset(v3, v5)))
% 27.62/7.11  | (497)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ finite(v0) | finite(v2))
% 27.62/7.11  | (498)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] :  ? [v3] : (function_inverse(v0) = v2 & relation_rng(v0) = v3 &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v6 |  ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v7) |  ~ (apply(v0, v6) = v5) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v6, v1)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v5 |  ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v6) |  ~ (apply(v0, v6) = v7) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v5, v3)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v7) |  ~ (apply(v0, v6) = v5) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v6, v1) | in(v5, v3)) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_dom(v2) = v4) |  ~ (apply(v2, v5) = v6) |  ~ (apply(v0, v6) = v7) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v5, v3) | in(v6, v1)) &  ! [v4] : (v4 = v3 |  ~ (relation_dom(v2) = v4) |  ~ relation(v2) |  ~ function(v2)) &  ! [v4] : (v4 = v2 |  ~ (relation_dom(v4) = v3) |  ~ relation(v4) |  ~ function(v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (apply(v4, v5) = v7 & apply(v0, v6) = v8 & ((v8 = v5 & in(v6, v1) & ( ~ (v7 = v6) |  ~ in(v5, v3))) | (v7 = v6 & in(v5, v3) & ( ~ (v8 = v5) |  ~ in(v6, v1))))))))
% 27.62/7.11  | (499)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ in(v2, v1) | subset(v2, v0))
% 27.62/7.11  | (500)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ subset(v2, v0) | in(v2, v1))
% 27.62/7.11  | (501)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join(v0, v1, v2) = v3) |  ~ join_semilatt_str(v0) |  ~ join_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (the_carrier(v0) = v4 & join_commut(v0, v1, v2) = v5 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4))))
% 27.62/7.11  | (502)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) | relation(v1))
% 27.62/7.11  | (503)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v2, v1) = v3) |  ~ (set_union2(v0, v1) = v2) | set_difference(v0, v1) = v3)
% 27.62/7.11  | (504)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, v0) = v1))
% 27.62/7.11  | (505)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (fiber(v3, v2) = v1) |  ~ (fiber(v3, v2) = v0))
% 27.62/7.11  | (506)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (cast_to_subset(v2) = v1) |  ~ (cast_to_subset(v2) = v0))
% 27.62/7.11  | (507)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v2_membered(v0) | v1_membered(v2))
% 27.62/7.11  | (508)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ? [v3] : (relation(v3) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (apply(v2, v5) = v7) |  ~ (apply(v2, v4) = v6) |  ~ (ordered_pair(v6, v7) = v8) |  ~ in(v8, v1) |  ~ in(v5, v0) |  ~ in(v4, v0) |  ? [v9] : (ordered_pair(v4, v5) = v9 & in(v9, v3))) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (apply(v2, v5) = v7) |  ~ (apply(v2, v4) = v6) |  ~ (ordered_pair(v6, v7) = v8) | in(v8, v1) |  ? [v9] : (ordered_pair(v4, v5) = v9 &  ~ in(v9, v3))) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (apply(v2, v5) = v7) |  ~ (apply(v2, v4) = v6) |  ~ (ordered_pair(v6, v7) = v8) | in(v5, v0) |  ? [v9] : (ordered_pair(v4, v5) = v9 &  ~ in(v9, v3))) &  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (apply(v2, v5) = v7) |  ~ (apply(v2, v4) = v6) |  ~ (ordered_pair(v6, v7) = v8) | in(v4, v0) |  ? [v9] : (ordered_pair(v4, v5) = v9 &  ~ in(v9, v3))) &  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v4, v5) = v6) |  ~ in(v6, v3) | in(v5, v0)) &  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v4, v5) = v6) |  ~ in(v6, v3) | in(v4, v0)) &  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v4, v5) = v6) |  ~ in(v6, v3) |  ? [v7] :  ? [v8] :  ? [v9] : (apply(v2, v5) = v8 & apply(v2, v4) = v7 & ordered_pair(v7, v8) = v9 & in(v9, v1))) &  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v4, v5) = v6) |  ~ in(v5, v0) |  ~ in(v4, v0) | in(v6, v3) |  ? [v7] :  ? [v8] :  ? [v9] : (apply(v2, v5) = v8 & apply(v2, v4) = v7 & ordered_pair(v7, v8) = v9 &  ~ in(v9, v1)))))
% 27.62/7.11  | (509)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ one_sorted_str(v0) |  ? [v2] :  ? [v3] : (cast_as_carrier_subset(v0) = v2 & powerset(v1) = v3 & element(v2, v3)))
% 27.62/7.11  | (510)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v0) |  ~ in(v5, v0) |  ~ in(v3, v1) | in(v5, v2))
% 27.62/7.11  | (511)  ! [v0] : ( ~ reflexive(v0) |  ~ well_founded_relation(v0) |  ~ transitive(v0) |  ~ connected(v0) |  ~ antisymmetric(v0) |  ~ relation(v0) | well_ordering(v0))
% 27.62/7.11  | (512)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v4_membered(v0) | v1_membered(v2))
% 27.62/7.11  | (513)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_isomorphism(v0, v1, v2) |  ~ well_ordering(v0) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | well_ordering(v1))
% 27.62/7.11  | (514) empty(all_0_10_10)
% 27.62/7.11  | (515)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ antisymmetric(v0) |  ~ relation(v0) | is_antisymmetric_in(v0, v1))
% 27.62/7.11  | (516)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (complements_of_subsets(v0, v2) = v3) |  ~ (complements_of_subsets(v0, v1) = v2) |  ? [v4] :  ? [v5] : (powerset(v4) = v5 & powerset(v0) = v4 &  ~ element(v1, v5)))
% 27.62/7.11  | (517)  ! [v0] : (v0 = empty_set |  ~ empty(v0))
% 27.62/7.11  | (518)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ finite(v1) | finite(v2))
% 27.62/7.11  | (519)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ relation(v0) | relation(v1))
% 27.62/7.11  | (520)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v4_membered(v0) | v3_membered(v2))
% 27.62/7.11  | (521)  ! [v0] :  ! [v1] : ( ~ subset(v0, v1) |  ~ ordinal(v1) |  ~ ordinal(v0) | ordinal_subset(v0, v1))
% 27.62/7.11  | (522)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (one_to_one(v2) & relation(v2) & function(v2) & finite(v2) & epsilon_connected(v2) & epsilon_transitive(v2) & ordinal(v2) & empty(v2) & natural(v2) & element(v2, v1)))
% 27.62/7.11  | (523)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (meet(v0, v1, v2) = v3) |  ~ meet_semilatt_str(v0) | empty_carrier(v0) |  ? [v4] : (the_carrier(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4))))
% 27.62/7.11  | (524)  ! [v0] :  ! [v1] : ( ~ proper_subset(v1, v0) |  ~ proper_subset(v0, v1))
% 27.62/7.11  | (525)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_inverse(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v1) |  ~ relation(v0) |  ~ in(v4, v1) |  ? [v5] : (ordered_pair(v3, v2) = v5 & in(v5, v0)))
% 27.62/7.11  | (526)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v0 |  ~ (unordered_triple(v1, v2, v3) = v4) |  ? [v5] : ((v5 = v3 | v5 = v2 | v5 = v1 | in(v5, v0)) & ( ~ in(v5, v0) | ( ~ (v5 = v3) &  ~ (v5 = v2) &  ~ (v5 = v1)))))
% 27.62/7.11  | (527)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) |  ~ ordinal(v0) | connected(v1))
% 27.62/7.11  | (528)  ! [v0] :  ! [v1] : ( ~ (singleton(v0) = v1) | subset(empty_set, v1))
% 27.62/7.11  | (529)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (unordered_triple(v4, v3, v2) = v1) |  ~ (unordered_triple(v4, v3, v2) = v0))
% 27.62/7.11  | (530)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (set_difference(v1, v2) = v4) |  ~ (set_difference(v0, v2) = v3) |  ~ subset(v0, v1) | subset(v3, v4))
% 27.62/7.11  | (531)  ! [v0] : ( ~ ordinal(v0) | being_limit_ordinal(v0) |  ? [v1] : (succ(v1) = v0 & ordinal(v1)))
% 27.62/7.11  | (532)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (cartesian_product2(v1, v3) = v5) |  ~ (cartesian_product2(v0, v2) = v4) |  ~ subset(v2, v3) |  ~ subset(v0, v1) | subset(v4, v5))
% 27.62/7.11  | (533)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ relation_empty_yielding(v0) |  ~ relation(v0) | relation_empty_yielding(v2))
% 27.62/7.11  | (534)  ! [v0] :  ! [v1] : ( ~ (relation_inverse(v0) = v1) |  ~ relation(v0) | relation_inverse(v1) = v0)
% 27.62/7.11  | (535)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_rng(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_composition(v3, v0) = v4) |  ~ relation(v3) |  ? [v5] :  ? [v6] : (relation_rng(v4) = v6 & relation_rng(v3) = v5 & (v6 = v2 |  ~ subset(v1, v5)))) &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ subset(v1, v4) |  ~ relation(v3) |  ? [v5] : (relation_composition(v3, v0) = v5 & relation_rng(v5) = v2))))
% 27.62/7.12  | (536)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v1, v2) = v3) |  ~ subset(v0, v2) |  ~ subset(v0, v1) | subset(v0, v3))
% 27.62/7.12  | (537) relation_dom(empty_set) = empty_set
% 27.62/7.12  | (538)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) |  ? [v3] : (relation_rng(v2) = v3 & subset(v3, v0)))
% 27.62/7.12  | (539)  ? [v0] :  ! [v1] : ( ~ relation(v1) | is_antisymmetric_in(v1, v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v3 = v2) & ordered_pair(v3, v2) = v5 & ordered_pair(v2, v3) = v4 & in(v5, v1) & in(v4, v1) & in(v3, v0) & in(v2, v0)))
% 27.62/7.12  | (540)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_inverse_image(v0, v2) = v3) |  ~ (relation_dom(v0) = v1) |  ~ (apply(v0, v4) = v5) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v4, v3) | in(v4, v1))
% 27.62/7.12  | (541)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ empty(v2) |  ~ element(v1, v3) |  ~ in(v0, v1))
% 27.62/7.12  | (542) ordinal(empty_set)
% 27.62/7.12  | (543)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join_commut(v0, v1, v2) = v3) |  ~ join_semilatt_str(v0) |  ~ join_commutative(v0) | empty_carrier(v0) |  ? [v4] : (the_carrier(v0) = v4 & ( ~ element(v2, v4) |  ~ element(v1, v4) | element(v3, v4))))
% 27.62/7.12  | (544) relation_empty_yielding(empty_set)
% 27.62/7.12  | (545)  ! [v0] : (v0 = empty_set |  ~ (set_meet(empty_set) = v0))
% 27.62/7.12  | (546)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ relation(v0) | well_founded_relation(v0) |  ? [v2] : ( ~ (v2 = empty_set) & subset(v2, v1) &  ! [v3] :  ! [v4] : ( ~ (fiber(v0, v3) = v4) |  ~ disjoint(v4, v2) |  ~ in(v3, v2))))
% 27.62/7.12  | (547)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_inverse(v0) = v1) |  ~ (ordered_pair(v3, v2) = v4) |  ~ relation(v1) |  ~ relation(v0) |  ~ in(v4, v0) |  ? [v5] : (ordered_pair(v2, v3) = v5 & in(v5, v1)))
% 27.62/7.12  | (548)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v4_membered(v0) |  ~ element(v2, v1) | v3_membered(v2))
% 27.62/7.12  | (549)  ! [v0] : ( ~ empty(v0) | epsilon_connected(v0))
% 27.62/7.12  | (550)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng(v2) = v1) |  ~ one_to_one(v2) |  ~ relation(v2) |  ~ function(v2) | equipotent(v0, v1) |  ? [v3] : ( ~ (v3 = v0) & relation_dom(v2) = v3))
% 27.62/7.12  | (551)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ empty(v1) | empty(v0))
% 27.62/7.12  | (552)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (relation_dom_restriction(v3, v2) = v1) |  ~ (relation_dom_restriction(v3, v2) = v0))
% 27.62/7.12  | (553)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (ordered_pair(v2, v2) = v3) |  ~ is_reflexive_in(v0, v1) |  ~ relation(v0) |  ~ in(v2, v1) | in(v3, v0))
% 27.62/7.12  | (554)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v1) = v2) |  ~ (relation_image(v1, v3) = v4) |  ~ (set_intersection2(v2, v0) = v3) |  ~ relation(v1) | relation_image(v1, v0) = v4)
% 27.62/7.12  | (555) empty(all_0_14_14)
% 27.62/7.12  | (556) subset_difference(all_0_38_38, all_0_36_36, all_0_35_35) = all_0_33_33
% 27.62/7.12  | (557)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v2_membered(v0) |  ~ element(v2, v1) | v1_membered(v2))
% 27.62/7.12  | (558)  ! [v0] : ( ~ empty(v0) | finite(v0))
% 27.62/7.12  | (559)  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ~ one_sorted_str(v0) | the_carrier(v0) = v1)
% 27.62/7.12  | (560) being_limit_ordinal(omega)
% 27.62/7.12  | (561)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (succ(v2) = v1) |  ~ (succ(v2) = v0))
% 27.62/7.12  | (562)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ empty(v0) | empty(v2))
% 27.62/7.12  | (563)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (fiber(v0, v1) = v2) |  ~ (ordered_pair(v3, v1) = v4) |  ~ relation(v0) |  ~ in(v3, v2) | in(v4, v0))
% 27.62/7.12  | (564)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v5_membered(v0) | v2_membered(v2))
% 27.62/7.12  | (565)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v1) |  ~ function(v0) | relation(v2))
% 27.62/7.12  | (566)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v0 = empty_set |  ~ (set_meet(v0) = v1) |  ~ in(v3, v0) |  ~ in(v2, v1) | in(v2, v3))
% 27.62/7.12  | (567)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v0) = v4) |  ~ (cartesian_product2(v1, v2) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v2, v1) = v6 & cartesian_product2(v0, v2) = v5 & subset(v5, v3) & subset(v4, v6)))
% 27.62/7.12  | (568)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v1, v0) = v2) |  ~ (set_union2(v0, v2) = v3) | set_union2(v0, v1) = v3)
% 27.62/7.12  | (569)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_restriction(v2, v1) = v3) |  ~ relation(v2) |  ? [v4] :  ? [v5] : (relation_field(v3) = v4 & relation_field(v2) = v5 & ( ~ in(v0, v4) | (in(v0, v5) & in(v0, v1)))))
% 27.62/7.12  | (570)  ? [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_dom(v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ in(v3, v0) |  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v3, v6) = v7) |  ~ in(v7, v1))) & (in(v3, v0) | (ordered_pair(v3, v4) = v5 & in(v5, v1)))))
% 27.62/7.12  | (571)  ? [v0] :  ! [v1] : ( ~ relation(v1) | is_well_founded_in(v1, v0) |  ? [v2] : ( ~ (v2 = empty_set) & subset(v2, v0) &  ! [v3] :  ! [v4] : ( ~ (fiber(v1, v3) = v4) |  ~ disjoint(v4, v2) |  ~ in(v3, v2))))
% 27.62/7.12  | (572) relation(all_0_10_10)
% 27.62/7.12  | (573)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (union_of_subsets(v3, v2) = v1) |  ~ (union_of_subsets(v3, v2) = v0))
% 27.62/7.12  | (574)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_isomorphism(v0, v1, v2) |  ~ connected(v0) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | connected(v1))
% 27.62/7.12  | (575)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_difference(empty_set, v0) = v1))
% 27.62/7.12  | (576)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v3_membered(v0) | v3_membered(v2))
% 27.62/7.12  | (577)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ~ empty(v1) |  ~ natural(v0))
% 27.62/7.12  | (578)  ! [v0] : ( ~ well_ordering(v0) |  ~ relation(v0) | connected(v0))
% 27.62/7.12  | (579) relation(all_0_14_14)
% 27.62/7.12  | (580)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (set_intersection2(v0, v1) = v2) |  ~ subset(v0, v1))
% 27.62/7.12  | (581) ordinal(all_0_18_18)
% 27.62/7.12  | (582)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (apply(v3, v2) = v1) |  ~ (apply(v3, v2) = v0))
% 27.62/7.12  | (583)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_difference(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (set_difference(v1, v2) = v5 & powerset(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4))))
% 27.62/7.12  | (584)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ well_ordering(v0) |  ~ relation(v0) | well_orders(v0, v1))
% 27.62/7.12  | (585)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (relation_field(v0) = v1) |  ~ (ordered_pair(v3, v2) = v4) |  ~ connected(v0) |  ~ relation(v0) |  ~ in(v3, v1) |  ~ in(v2, v1) | in(v4, v0) |  ? [v5] : (ordered_pair(v2, v3) = v5 & in(v5, v0)))
% 27.62/7.12  | (586)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v3, v1) = v4) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ~ relation(v2) |  ~ function(v2) |  ? [v5] :  ? [v6] : (relation_dom(v3) = v5 & apply(v2, v1) = v6 & (v6 = v4 |  ~ in(v1, v5))))
% 27.62/7.12  | (587)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v5_membered(v0) | v4_membered(v2))
% 27.62/7.12  | (588)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (relation_image(v1, v2) = v3) |  ~ relation(v1) |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ in(v4, v0) |  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v7, v4) = v8) |  ~ in(v8, v1) |  ~ in(v7, v2))) & (in(v4, v0) | (ordered_pair(v5, v4) = v6 & in(v6, v1) & in(v5, v2)))))
% 27.62/7.12  | (589)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ transitive(v1) |  ~ relation(v1) | transitive(v2))
% 27.62/7.12  | (590)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v1) = v2) |  ~ (apply(v3, v0) = v4) |  ~ relation(v3) |  ~ relation(v1) |  ~ function(v3) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v3, v1) = v5 & relation_dom(v5) = v6 & relation_dom(v3) = v7 & ( ~ in(v4, v2) |  ~ in(v0, v7) | in(v0, v6)) & ( ~ in(v0, v6) | (in(v4, v2) & in(v0, v7)))))
% 27.62/7.12  | (591) ordinal(all_0_9_9)
% 27.62/7.12  | (592)  ! [v0] :  ~ proper_subset(v0, v0)
% 27.62/7.12  | (593)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ (relation_dom_as_subset(empty_set, v0, v1) = v2) |  ~ quasi_total(v1, empty_set, v0) |  ~ relation_of2_as_subset(v1, empty_set, v0))
% 27.62/7.12  | (594)  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ element(v1, v0) | v1_xcmplx_0(v1))
% 27.62/7.12  | (595)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_composition(v2, v1) = v3) |  ~ (apply(v3, v0) = v4) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_dom(v3) = v5 & apply(v2, v0) = v6 & apply(v1, v6) = v7 & (v7 = v4 |  ~ in(v0, v5))))
% 27.62/7.12  | (596)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) |  ~ function(v1) | relation(v2))
% 27.62/7.12  | (597)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v2_membered(v0) | v2_membered(v2))
% 27.62/7.12  | (598)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom(v2) = v3) |  ~ relation_of2_as_subset(v2, v0, v1) |  ? [v4] : (relation_rng(v2) = v4 & subset(v4, v1)))
% 27.62/7.12  | (599) relation(empty_set)
% 27.62/7.12  | (600)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v0) = v1) |  ~ (relation_image(v0, v2) = v3) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v4, v3) |  ? [v5] : (apply(v0, v5) = v4 & in(v5, v2) & in(v5, v1)))
% 27.62/7.12  | (601)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v2) |  ~ (relation_dom(v0) = v1) |  ~ (cartesian_product2(v1, v2) = v3) |  ~ relation(v0) | subset(v0, v3))
% 27.62/7.12  | (602)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v1) = v2) |  ~ in(v3, v2) |  ~ in(v3, v1))
% 27.62/7.12  | (603)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_rng(v2) = v3 & relation_rng(v1) = v4 & subset(v3, v4)))
% 27.62/7.13  | (604)  ? [v0] :  ? [v1] : ( ! [v2] : ( ~ ordinal(v2) |  ~ in(v2, v0) | in(v2, v1)) &  ! [v2] : ( ~ in(v2, v1) | ordinal(v2)) &  ! [v2] : ( ~ in(v2, v1) | in(v2, v0)))
% 27.62/7.13  | (605)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ empty(v1) |  ~ empty(v0))
% 27.62/7.13  | (606)  ! [v0] :  ! [v1] : ( ~ empty(v0) |  ~ element(v1, v0) | empty(v1))
% 27.62/7.13  | (607)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (subset_complement(v0, v2) = v3) |  ~ (subset_complement(v0, v1) = v2) |  ? [v4] : (powerset(v0) = v4 &  ~ element(v1, v4)))
% 27.62/7.13  | (608)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (function_inverse(v2) = v3) |  ~ relation_isomorphism(v0, v1, v2) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | relation_isomorphism(v1, v0, v3))
% 27.62/7.13  | (609)  ! [v0] :  ! [v1] : ( ~ element(v0, v1) | empty(v1) | in(v0, v1))
% 27.62/7.13  | (610) v4_membered(all_0_7_7)
% 27.62/7.13  | (611)  ~ empty(all_0_7_7)
% 27.62/7.13  | (612)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (relation_dom_as_subset(v4, v3, v2) = v1) |  ~ (relation_dom_as_subset(v4, v3, v2) = v0))
% 27.62/7.13  | (613)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ~ ordinal(v1) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (singleton(v1) = v5 & powerset(v3) = v4 & powerset(v2) = v3 & powerset(v1) = v6 & ( ~ element(v0, v4) | ( ! [v8] :  ! [v9] : ( ~ (set_difference(v9, v5) = v8) |  ~ in(v9, v0) |  ~ in(v8, v6) | in(v8, v7)) &  ! [v8] : ( ~ in(v8, v7) | in(v8, v6)) &  ! [v8] : ( ~ in(v8, v7) |  ? [v9] : (set_difference(v9, v5) = v8 & in(v9, v0)))))))
% 27.62/7.13  | (614)  ! [v0] : ( ~ (union(v0) = v0) | being_limit_ordinal(v0))
% 27.62/7.13  | (615)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (cartesian_product2(v3, v2) = v1) |  ~ (cartesian_product2(v3, v2) = v0))
% 27.62/7.13  | (616)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_dom(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v2, v1) |  ? [v5] : (apply(v0, v2) = v5 & ( ~ (v5 = v3) | in(v4, v0)) & (v5 = v3 |  ~ in(v4, v0))))
% 27.62/7.13  | (617)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (set_union2(v0, v1) = v2) |  ~ subset(v0, v1))
% 27.62/7.13  | (618)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) |  ~ finite(v1) |  ~ finite(v0) | finite(v2))
% 27.62/7.13  | (619)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_image(v0, v1) = v2) |  ~ relation(v0) |  ~ in(v3, v2) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v3) = v5 & in(v5, v0) & in(v4, v1)))
% 27.62/7.13  | (620)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (cast_to_subset(v0) = v1))
% 27.62/7.13  | (621)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v2) = v3) |  ~ relation(v1) |  ~ in(v2, v0) | in(v3, v1))
% 27.62/7.13  | (622) function(all_0_14_14)
% 27.62/7.13  | (623)  ? [v0] :  ! [v1] : ( ~ relation(v1) | is_transitive_in(v1, v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (ordered_pair(v3, v4) = v6 & ordered_pair(v2, v4) = v7 & ordered_pair(v2, v3) = v5 & in(v6, v1) & in(v5, v1) & in(v4, v0) & in(v3, v0) & in(v2, v0) &  ~ in(v7, v1)))
% 27.62/7.13  | (624)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v4_membered(v0) | v2_membered(v2))
% 27.62/7.13  | (625)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v3_membered(v0) | v2_membered(v2))
% 27.62/7.13  | (626)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v1) = v2) | disjoint(v2, v0) | in(v1, v0))
% 27.62/7.13  | (627)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ relation_of2_as_subset(v3, v2, v0) |  ~ subset(v4, v1) | relation_of2_as_subset(v3, v2, v1))
% 27.62/7.13  | (628)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (apply(v3, v1) = v4) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ~ relation(v2) |  ~ function(v2) |  ~ in(v1, v0) | apply(v2, v1) = v4)
% 27.62/7.13  | (629)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v4_membered(v0) |  ~ element(v2, v1) | v1_membered(v2))
% 27.62/7.13  | (630)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (relation_inverse(v0) = v1) |  ~ relation(v2) |  ~ relation(v0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (ordered_pair(v4, v3) = v6 & ordered_pair(v3, v4) = v5 & ( ~ in(v6, v0) |  ~ in(v5, v2)) & (in(v6, v0) | in(v5, v2))))
% 27.62/7.13  | (631)  ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0))
% 27.62/7.13  | (632)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ connected(v0) |  ~ relation(v0) | is_connected_in(v0, v1))
% 27.62/7.13  | (633)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (singleton(v0) = v2) |  ~ (set_union2(v2, v1) = v3) |  ~ in(v0, v1))
% 27.62/7.13  | (634)  ! [v0] :  ! [v1] : ( ~ ordinal(v1) |  ~ ordinal(v0) | ordinal_subset(v0, v0))
% 27.62/7.13  | (635)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_dom(v2) = v1) |  ~ (relation_dom(v2) = v0))
% 27.62/7.13  | (636)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) |  ~ ordinal(v0) | well_founded_relation(v1))
% 27.62/7.13  | (637)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (relation_rng_as_subset(v0, v1, v2) = v3) |  ~ relation_of2_as_subset(v2, v0, v1) |  ? [v4] : (in(v4, v1) &  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v5, v4) = v6) |  ~ in(v6, v2))))
% 27.62/7.13  | (638) relation(all_0_11_11)
% 27.62/7.13  | (639)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ? [v3] :  ? [v4] : (singleton(v0) = v4 & unordered_pair(v3, v4) = v2 & unordered_pair(v0, v1) = v3))
% 27.62/7.13  | (640)  ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0))
% 27.62/7.13  | (641)  ! [v0] :  ! [v1] : (v1 = empty_set |  ~ (set_intersection2(v0, empty_set) = v1))
% 27.62/7.13  | (642) powerset(all_0_41_41) = all_0_40_40
% 27.62/7.13  | (643)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v1 = empty_set |  ~ (relation_composition(v3, v5) = v6) |  ~ (apply(v6, v2) = v7) |  ~ (apply(v3, v2) = v4) |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ relation(v5) |  ~ function(v5) |  ~ function(v3) |  ~ in(v2, v0) | apply(v5, v4) = v7)
% 27.62/7.13  | (644)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_intersection2(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (set_intersection2(v1, v2) = v5 & powerset(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4))))
% 27.62/7.13  | (645)  ! [v0] :  ! [v1] : ( ~ (cast_to_subset(v0) = v1) |  ? [v2] : (powerset(v0) = v2 & element(v1, v2)))
% 27.62/7.13  | (646)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v4_membered(v0) | v4_membered(v2))
% 27.62/7.13  | (647) one_sorted_str(all_0_20_20)
% 27.62/7.13  | (648)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = empty_set |  ~ (apply(v3, v2) = v4) |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ function(v3) |  ~ in(v2, v0) |  ? [v5] : (relation_rng(v3) = v5 & in(v4, v5)))
% 27.62/7.13  | (649)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | antisymmetric(v1))
% 27.62/7.13  | (650)  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ~ relation(v0) |  ~ function(v0) | relation(v1))
% 27.62/7.13  | (651)  ! [v0] :  ! [v1] : ( ~ (the_L_join(v0) = v1) |  ~ join_semilatt_str(v0) | empty_carrier(v0) |  ? [v2] : (the_carrier(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (join(v0, v3, v4) = v5) |  ~ element(v4, v2) |  ~ element(v3, v2) | apply_binary_as_element(v2, v2, v2, v1, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (apply_binary_as_element(v2, v2, v2, v1, v3, v4) = v5) |  ~ element(v4, v2) |  ~ element(v3, v2) | join(v0, v3, v4) = v5)))
% 27.62/7.13  | (652)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v2) = v3) |  ~ subset(v2, v1) |  ~ subset(v0, v1) | subset(v3, v1))
% 27.62/7.13  | (653)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v1, v0) = v2) |  ~ relation(v1) |  ~ empty(v0) | relation(v2))
% 27.62/7.13  | (654) function(all_0_10_10)
% 27.62/7.13  | (655)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ one_sorted_str(v0) | empty_carrier(v0) |  ? [v2] :  ? [v3] : (powerset(v1) = v2 & element(v3, v2) &  ~ empty(v3)))
% 27.62/7.13  | (656)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ relation(v0) |  ? [v2] :  ? [v3] : (relation_rng(v0) = v3 & relation_dom(v0) = v2 & set_union2(v2, v3) = v1))
% 27.62/7.13  | (657)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 | v1 = empty_set |  ~ (relation_dom_as_subset(v0, v1, v2) = v3) |  ~ quasi_total(v2, v0, v1) |  ~ relation_of2_as_subset(v2, v0, v1))
% 27.62/7.13  | (658)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v3_membered(v0) |  ~ element(v2, v1) | v2_membered(v2))
% 27.62/7.13  | (659)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (subset_difference(v4, v3, v2) = v1) |  ~ (subset_difference(v4, v3, v2) = v0))
% 27.62/7.13  | (660)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v1) = v3) |  ~ subset(v2, v3) | relation_of2(v2, v0, v1))
% 27.62/7.13  | (661)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v1) = v3) |  ~ relation_of2(v2, v0, v1) | subset(v2, v3))
% 27.62/7.13  | (662) function(empty_set)
% 27.62/7.13  | (663)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (ordered_pair(v1, v2) = v3) |  ~ antisymmetric(v0) |  ~ relation(v0) |  ~ in(v3, v0) |  ? [v4] : (ordered_pair(v2, v1) = v4 &  ~ in(v4, v0)))
% 27.62/7.13  | (664)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v5_membered(v0) |  ~ element(v2, v1) | v2_membered(v2))
% 27.62/7.13  | (665)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | cup_closed(v1))
% 27.62/7.13  | (666)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v1_membered(v0) | v1_membered(v2))
% 27.62/7.13  | (667)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ empty(v0) | relation(v2))
% 27.62/7.13  | (668)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v3, v4) = v5) |  ~ (ordered_pair(v2, v4) = v6) |  ~ is_transitive_in(v0, v1) |  ~ relation(v0) |  ~ in(v5, v0) |  ~ in(v4, v1) |  ~ in(v3, v1) |  ~ in(v2, v1) | in(v6, v0) |  ? [v7] : (ordered_pair(v2, v3) = v7 &  ~ in(v7, v0)))
% 27.62/7.13  | (669) powerset(empty_set) = all_0_41_41
% 27.62/7.13  | (670)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (singleton(v0) = v3) |  ~ (unordered_pair(v2, v3) = v4) |  ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4)
% 27.62/7.13  | (671)  ! [v0] : ( ~ empty(v0) | v3_membered(v0))
% 27.62/7.13  | (672)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (relation_dom(v1) = v2) |  ~ (apply(v1, v3) = v4) |  ~ (identity_relation(v0) = v1) |  ~ relation(v1) |  ~ function(v1) |  ~ in(v3, v0))
% 27.62/7.13  | (673)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | diff_closed(v1))
% 27.62/7.13  | (674)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = empty_set |  ~ (meet_of_subsets(v0, v2) = v3) |  ~ (complements_of_subsets(v0, v1) = v2) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (subset_difference(v0, v6, v7) = v8 & union_of_subsets(v0, v1) = v7 & cast_to_subset(v0) = v6 & powerset(v4) = v5 & powerset(v0) = v4 & (v8 = v3 |  ~ element(v1, v5))))
% 27.62/7.13  | (675)  ! [v0] :  ! [v1] : ( ~ (cast_as_carrier_subset(v0) = v1) |  ~ one_sorted_str(v0) |  ? [v2] :  ? [v3] : (the_carrier(v0) = v2 & powerset(v2) = v3 &  ! [v4] :  ! [v5] : (v5 = v4 |  ~ (subset_intersection2(v2, v4, v1) = v5) |  ~ element(v4, v3))))
% 27.62/7.13  | (676)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ? [v2] : (cast_to_subset(v0) = v2 & element(v2, v1)))
% 27.62/7.13  | (677)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ empty(v1) | empty(v0))
% 27.62/7.13  | (678)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (unordered_pair(v3, v2) = v1) |  ~ (unordered_pair(v3, v2) = v0))
% 27.62/7.13  | (679)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ in(v2, v0) |  ~ in(v1, v2) |  ~ in(v0, v1))
% 27.62/7.13  | (680)  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) | relation_inverse(v0) = v1)
% 27.62/7.13  | (681)  ! [v0] : (v0 = omega |  ~ being_limit_ordinal(v0) |  ~ ordinal(v0) |  ~ in(empty_set, v0) |  ? [v1] : (being_limit_ordinal(v1) & ordinal(v1) & in(empty_set, v1) &  ~ subset(v0, v1)))
% 27.62/7.13  | (682)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v1, v0) = v2) |  ~ empty(v2) | empty(v0))
% 27.62/7.13  | (683)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v4_membered(v0) | v2_membered(v2))
% 27.62/7.13  | (684)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ disjoint(v0, v1) |  ~ in(v3, v2))
% 27.62/7.13  | (685)  ! [v0] : ( ~ empty(v0) | v1_membered(v0))
% 27.62/7.14  | (686) epsilon_connected(all_0_14_14)
% 27.62/7.14  | (687) epsilon_connected(all_0_9_9)
% 27.62/7.14  | (688)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ is_reflexive_in(v0, v1) |  ~ relation(v0) | reflexive(v0))
% 27.62/7.14  | (689)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v0) = v1) |  ~ ordinal(v2) |  ~ ordinal(v0) |  ~ in(v0, v2) | ordinal_subset(v1, v2))
% 27.62/7.14  | (690)  ! [v0] :  ~ (singleton(v0) = empty_set)
% 27.62/7.14  | (691)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ transitive(v0) |  ~ relation(v0) | is_transitive_in(v0, v1))
% 27.62/7.14  | (692) epsilon_transitive(empty_set)
% 27.62/7.14  | (693)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 | v4 = v1 | v4 = v0 |  ~ (unordered_triple(v0, v1, v2) = v3) |  ~ in(v4, v3))
% 27.62/7.14  | (694)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] : (relation_rng_restriction(v0, v3) = v2 & relation_dom_restriction(v1, v0) = v3))
% 27.62/7.14  | (695)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ function(v0) |  ~ finite(v1) |  ? [v2] : (relation_rng(v0) = v2 & finite(v2)))
% 27.62/7.14  | (696)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) | relation(v2))
% 27.62/7.14  | (697)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) | subset(v0, v2))
% 27.62/7.14  | (698)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_image(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] :  ? [v4] : (relation_dom(v1) = v3 & relation_image(v1, v4) = v2 & set_intersection2(v3, v0) = v4))
% 27.62/7.14  | (699)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_inverse_image(v0, v2) = v3) |  ~ (relation_dom(v0) = v1) |  ~ (apply(v0, v4) = v5) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v4, v3) | in(v5, v2))
% 27.62/7.14  | (700)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ function(v0) | finite(v1) |  ? [v2] : (relation_dom(v0) = v2 &  ~ finite(v2)))
% 27.62/7.14  | (701)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ one_sorted_str(v0) | cast_as_carrier_subset(v0) = v1)
% 27.62/7.14  | (702)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v3) |  ~ relation(v1) |  ? [v4] :  ? [v5] :  ? [v6] : (ordered_pair(v4, v5) = v6 & ( ~ in(v6, v3) |  ~ in(v6, v1) |  ~ in(v5, v0)) & (in(v6, v3) | (in(v6, v1) & in(v5, v0)))))
% 27.62/7.14  | (703)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (the_carrier(v0) = v1) |  ~ below(v0, v3, v2) |  ~ below(v0, v2, v3) |  ~ join_semilatt_str(v0) |  ~ join_commutative(v0) |  ~ element(v3, v1) |  ~ element(v2, v1) | empty_carrier(v0))
% 27.62/7.14  | (704)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) |  ? [v2] : (element(v2, v1) &  ~ empty(v2)))
% 27.62/7.14  | (705) ordinal(all_0_14_14)
% 27.62/7.14  | (706)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v1) = v0) |  ~ relation(v1) |  ~ function(v1) | finite(v0) |  ? [v2] : (relation_dom(v1) = v2 &  ~ in(v2, omega)))
% 27.62/7.14  | (707)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (relation_dom(v0) = v1) |  ~ (apply(v0, v3) = v4) |  ~ (apply(v0, v2) = v4) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ~ in(v3, v1) |  ~ in(v2, v1))
% 27.62/7.14  | (708)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (subset_complement(v0, v2) = v3) |  ~ in(v1, v3) |  ~ in(v1, v2) |  ? [v4] : (powerset(v0) = v4 &  ~ element(v2, v4)))
% 27.62/7.14  | (709)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v3_membered(v0) | v1_membered(v2))
% 27.62/7.14  | (710)  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ element(v1, v0) | v1_xcmplx_0(v1))
% 27.62/7.14  | (711)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) |  ? [v3] :  ? [v4] : (relation_rng(v2) = v3 & relation_rng(v1) = v4 & subset(v3, v4)))
% 27.62/7.14  | (712)  ! [v0] : ( ~ element(v0, omega) | epsilon_connected(v0))
% 27.62/7.14  | (713)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v1 = empty_set |  ~ (apply(v5, v4) = v6) |  ~ (apply(v3, v2) = v4) |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ relation(v5) |  ~ function(v5) |  ~ function(v3) |  ~ in(v2, v0) |  ? [v7] : (relation_composition(v3, v5) = v7 & apply(v7, v2) = v6))
% 27.62/7.14  | (714)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v1, v2) = v4) |  ~ (cartesian_product2(v0, v2) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v2, v1) = v6 & cartesian_product2(v2, v0) = v5 & subset(v5, v6)))
% 27.62/7.14  | (715)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (relation_composition(v5, v3) = v6) |  ~ (identity_relation(v2) = v5) |  ~ (ordered_pair(v0, v1) = v4) |  ~ relation(v3) |  ~ in(v4, v3) |  ~ in(v0, v2) | in(v4, v6))
% 27.62/7.14  | (716)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_meet(v1) = v3) |  ~ (powerset(v0) = v2) |  ? [v4] :  ? [v5] : (meet_of_subsets(v0, v1) = v5 & powerset(v2) = v4 & (v5 = v3 |  ~ element(v1, v4))))
% 27.62/7.14  | (717)  ? [v0] :  ? [v1] :  ? [v2] : relation_of2(v2, v0, v1)
% 27.62/7.14  | (718) v3_membered(empty_set)
% 27.62/7.14  | (719)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (apply_binary_as_element(v0, v1, v2, v3, v4, v5) = v6) |  ~ function(v3) |  ~ element(v5, v1) |  ~ element(v4, v0) | empty(v1) | empty(v0) |  ? [v7] :  ? [v8] : (apply_binary(v3, v4, v5) = v8 & cartesian_product2(v0, v1) = v7 & (v8 = v6 |  ~ relation_of2(v3, v7, v2) |  ~ quasi_total(v3, v7, v2))))
% 27.62/7.14  | (720)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (meet_commut(v0, v2, v3) = v4) |  ~ (the_carrier(v0) = v1) |  ~ meet_absorbing(v0) |  ~ latt_str(v0) |  ~ meet_commutative(v0) |  ~ element(v3, v1) |  ~ element(v2, v1) | below(v0, v4, v2) | empty_carrier(v0))
% 27.62/7.14  | (721) relation_rng(empty_set) = empty_set
% 27.62/7.14  | (722)  ! [v0] : ( ~ element(v0, omega) | epsilon_transitive(v0))
% 27.62/7.14  | (723)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | reflexive(v1))
% 27.62/7.14  | (724)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] :  ? [v3] : (function_inverse(v0) = v2 & relation_rng(v2) = v3 & relation_dom(v2) = v1 & relation_dom(v0) = v3))
% 27.62/7.14  | (725)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v0, v1) = v4) |  ~ (cartesian_product2(v2, v3) = v5) |  ~ in(v4, v5) | in(v0, v2))
% 27.62/7.14  | (726)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ element(v1, v0) | v1_xcmplx_0(v1))
% 27.62/7.14  | (727)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (singleton(v1) = v3) |  ~ (singleton(v0) = v2) |  ~ subset(v2, v3))
% 27.62/7.14  | (728)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ function(v0) | one_to_one(v0) |  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v3 = v2) & apply(v0, v3) = v4 & apply(v0, v2) = v4 & in(v3, v1) & in(v2, v1)))
% 27.62/7.14  | (729)  ! [v0] : ( ~ empty(v0) | v5_membered(v0))
% 27.62/7.14  | (730)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = empty_set | v0 = empty_set |  ~ (relation_dom_as_subset(v0, empty_set, v1) = v2) |  ~ quasi_total(v1, v0, empty_set) |  ~ relation_of2_as_subset(v1, v0, empty_set))
% 27.62/7.14  | (731)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~ (powerset(v2) = v0))
% 27.62/7.14  | (732)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) | transitive(v1))
% 27.62/7.14  | (733) function(all_0_6_6)
% 27.62/7.14  | (734)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_field(v1) = v2) |  ~ equipotent(v0, v2) |  ~ well_ordering(v1) |  ~ relation(v1) |  ? [v3] : (well_orders(v3, v0) & relation(v3)))
% 27.62/7.14  | (735)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) |  ~ relation(v0) | relation(v2))
% 27.62/7.14  | (736)  ? [v0] :  ? [v1] : (in(v0, v1) &  ! [v2] :  ! [v3] : ( ~ (powerset(v2) = v3) |  ~ in(v2, v1) | in(v3, v1)) &  ! [v2] :  ! [v3] : ( ~ subset(v3, v2) |  ~ in(v2, v1) | in(v3, v1)) &  ! [v2] : ( ~ subset(v2, v1) | are_equipotent(v2, v1) | in(v2, v1)))
% 27.62/7.14  | (737) function(all_0_13_13)
% 27.62/7.14  | (738) epsilon_connected(omega)
% 27.62/7.14  | (739)  ! [v0] :  ! [v1] : ( ~ element(v1, v0) |  ~ v1_membered(v0) | v1_xcmplx_0(v1))
% 27.62/7.14  | (740)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v1) = v2) |  ~ ordinal(v1) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (singleton(v1) = v6 & succ(v1) = v3 & powerset(v4) = v5 & powerset(v3) = v4 & ( ~ element(v0, v5) | ( ! [v8] :  ! [v9] : ( ~ (set_difference(v9, v6) = v8) |  ~ in(v9, v0) |  ~ in(v8, v2) | in(v8, v7)) &  ! [v8] : ( ~ in(v8, v7) | in(v8, v2)) &  ! [v8] : ( ~ in(v8, v7) |  ? [v9] : (set_difference(v9, v6) = v8 & in(v9, v0)))))))
% 27.62/7.14  | (741)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (fiber(v0, v1) = v2) |  ~ (ordered_pair(v3, v1) = v4) |  ~ relation(v0) |  ~ in(v4, v0) | in(v3, v2))
% 27.62/7.14  | (742)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) | union(v1) = v0)
% 27.62/7.14  | (743)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_field(v2) = v4) |  ~ (ordered_pair(v0, v1) = v3) |  ~ relation(v2) |  ~ in(v3, v2) | in(v1, v4))
% 27.62/7.14  | (744)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (fiber(v1, v2) = v3) |  ~ relation(v1) |  ? [v4] :  ? [v5] : (ordered_pair(v4, v2) = v5 & (v4 = v2 |  ~ in(v5, v1) |  ~ in(v4, v0)) & (in(v4, v0) | ( ~ (v4 = v2) & in(v5, v1)))))
% 27.62/7.14  | (745)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ relation(v1) |  ~ function(v1) | function(v2))
% 27.62/7.14  | (746)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v1) |  ~ in(v5, v1) |  ~ in(v4, v0) | in(v5, v2))
% 27.62/7.14  | (747)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_isomorphism(v0, v1, v2) |  ~ well_founded_relation(v0) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | well_founded_relation(v1))
% 27.62/7.14  | (748)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (function_inverse(v1) = v2) |  ~ (relation_composition(v2, v1) = v3) |  ~ (apply(v3, v0) = v4) |  ~ one_to_one(v1) |  ~ relation(v1) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_rng(v1) = v5 & apply(v2, v0) = v6 & apply(v1, v6) = v7 & ( ~ in(v0, v5) | (v7 = v0 & v4 = v0))))
% 27.62/7.14  | (749) one_to_one(all_0_14_14)
% 27.62/7.14  | (750)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) |  ~ natural(v0) | epsilon_transitive(v1))
% 27.62/7.14  | (751)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) | epsilon_connected(v1))
% 27.62/7.14  | (752)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v0) = v1) |  ~ ordinal_subset(v1, v2) |  ~ ordinal(v2) |  ~ ordinal(v0) | in(v0, v2))
% 27.62/7.14  | (753)  ? [v0] : (relation(v0) |  ? [v1] : (in(v1, v0) &  ! [v2] :  ! [v3] :  ~ (ordered_pair(v2, v3) = v1)))
% 27.62/7.14  | (754)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ subset(v0, v1) |  ~ in(v2, v0) | in(v2, v1))
% 27.62/7.14  | (755)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng(v1) = v2) |  ~ relation(v1) |  ~ relation(v0) |  ? [v3] :  ? [v4] : (relation_composition(v0, v1) = v3 & relation_rng(v3) = v4 & subset(v4, v2)))
% 27.62/7.14  | (756)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom_restriction(v2, v1) = v3) |  ~ relation(v2) |  ? [v4] :  ? [v5] : (relation_dom(v3) = v4 & relation_dom(v2) = v5 & ( ~ in(v0, v5) |  ~ in(v0, v1) | in(v0, v4)) & ( ~ in(v0, v4) | (in(v0, v5) & in(v0, v1)))))
% 27.62/7.14  | (757)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ in(v3, v2) | in(v3, v0))
% 27.62/7.14  | (758)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) |  ~ empty(v2))
% 27.62/7.14  | (759) empty(empty_set)
% 27.62/7.14  | (760)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_dom(v1) = v2) |  ~ (set_intersection2(v2, v0) = v3) |  ~ relation(v1) |  ? [v4] : (relation_dom(v4) = v3 & relation_dom_restriction(v1, v0) = v4))
% 27.62/7.14  | (761) one_sorted_str(all_0_1_1)
% 27.62/7.14  | (762)  ! [v0] : ( ~ diff_closed(v0) |  ~ cup_closed(v0) | preboolean(v0))
% 27.62/7.14  | (763)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ subset(v1, v0) |  ~ subset(v0, v1))
% 27.62/7.14  | (764) the_carrier(all_0_39_39) = all_0_38_38
% 27.62/7.14  | (765)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (subset_intersection2(v4, v3, v2) = v1) |  ~ (subset_intersection2(v4, v3, v2) = v0))
% 27.62/7.14  | (766)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2)
% 27.62/7.14  | (767)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_union2(v1, v0) = v2) | set_union2(v0, v1) = v2)
% 27.62/7.14  | (768)  ? [v0] :  ? [v1] : (relation_dom(v1) = v0 & relation(v1) & function(v1) &  ! [v2] :  ! [v3] : ( ~ (singleton(v2) = v3) |  ~ in(v2, v0) | apply(v1, v2) = v3) &  ! [v2] :  ! [v3] : ( ~ (apply(v1, v2) = v3) |  ~ in(v2, v0) | singleton(v2) = v3))
% 27.62/7.14  | (769)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (apply_binary_as_element(v0, v1, v2, v3, v4, v5) = v6) |  ~ function(v3) |  ~ element(v5, v1) |  ~ element(v4, v0) | empty(v1) | empty(v0) | element(v6, v2) |  ? [v7] : (cartesian_product2(v0, v1) = v7 & ( ~ relation_of2(v3, v7, v2) |  ~ quasi_total(v3, v7, v2))))
% 27.62/7.15  | (770)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v4_membered(v0) | v1_membered(v2))
% 27.62/7.15  | (771)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ quasi_total(v2, empty_set, v0) |  ~ relation_of2_as_subset(v2, empty_set, v0) |  ~ subset(v0, v1) |  ~ function(v2) | relation_of2_as_subset(v2, empty_set, v1))
% 27.62/7.15  | (772)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v1 = empty_set |  ~ (relation_inverse_image(v3, v2) = v4) |  ~ (apply(v3, v5) = v6) |  ~ quasi_total(v3, v0, v1) |  ~ relation_of2_as_subset(v3, v0, v1) |  ~ function(v3) |  ~ in(v5, v4) | in(v6, v2))
% 27.62/7.15  | (773)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (function_inverse(v1) = v2) |  ~ (apply(v2, v0) = v3) |  ~ (apply(v1, v3) = v4) |  ~ one_to_one(v1) |  ~ relation(v1) |  ~ function(v1) |  ? [v5] :  ? [v6] :  ? [v7] : (relation_composition(v2, v1) = v6 & relation_rng(v1) = v5 & apply(v6, v0) = v7 & ( ~ in(v0, v5) | (v7 = v0 & v4 = v0))))
% 27.62/7.15  | (774)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (inclusion_relation(v0) = v1) |  ~ (relation_field(v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v1) |  ~ in(v5, v1) |  ~ in(v4, v0) |  ~ in(v3, v0) | subset(v3, v4))
% 27.62/7.15  | (775)  ? [v0] :  ? [v1] : (well_orders(v1, v0) & relation(v1))
% 27.62/7.15  | (776)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (meet_commut(v0, v1, v2) = v3) |  ~ meet_semilatt_str(v0) |  ~ meet_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (meet_commut(v0, v2, v1) = v5 & the_carrier(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4))))
% 27.62/7.15  | (777)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ reflexive(v1) |  ~ relation(v1) | reflexive(v2))
% 27.62/7.15  | (778) v3_membered(all_0_7_7)
% 27.62/7.15  | (779)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_difference(v0, v2) = v3) |  ~ (set_difference(v0, v1) = v2) | set_intersection2(v0, v1) = v3)
% 27.62/7.15  | (780)  ? [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v1) = v2) |  ~ ordinal(v1) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (succ(v1) = v3 & powerset(v4) = v5 & powerset(v3) = v4 & powerset(v1) = v6 & ( ~ element(v0, v5) | ( ! [v8] :  ! [v9] : ( ~ (set_difference(v9, v2) = v8) |  ~ in(v9, v0) |  ~ in(v8, v6) | in(v8, v7)) &  ! [v8] : ( ~ in(v8, v7) | in(v8, v6)) &  ! [v8] : ( ~ in(v8, v7) |  ? [v9] : (set_difference(v9, v2) = v8 & in(v9, v0)))))))
% 27.62/7.15  | (781)  ! [v0] :  ! [v1] : ( ~ well_orders(v0, v1) |  ~ relation(v0) | is_transitive_in(v0, v1))
% 27.62/7.15  | (782)  ! [v0] : ( ~ well_ordering(v0) |  ~ relation(v0) | well_founded_relation(v0))
% 27.62/7.15  | (783)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_isomorphism(v0, v1, v2) |  ~ transitive(v0) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | transitive(v1))
% 27.62/7.15  | (784) in(empty_set, omega)
% 27.62/7.15  | (785) powerset(all_0_38_38) = all_0_37_37
% 27.62/7.15  | (786)  ? [v0] :  ! [v1] : ( ~ relation(v1) | empty(v0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ((v6 = v2 & v5 = v2 &  ~ (v4 = v3) & in(v4, v2) & in(v3, v2) & in(v2, v0) &  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v4, v7) = v8) |  ~ in(v7, v2) | in(v8, v1)) &  ! [v7] :  ! [v8] : ( ~ (ordered_pair(v3, v7) = v8) |  ~ in(v7, v2) | in(v8, v1))) | ( ! [v7] :  ! [v8] : ( ~ in(v8, v0) |  ~ in(v7, v8) | in(v7, v2) |  ? [v9] :  ? [v10] : (ordered_pair(v7, v9) = v10 & in(v9, v8) &  ~ in(v10, v1))) &  ! [v7] : ( ~ in(v7, v2) |  ? [v8] : (in(v8, v0) & in(v7, v8) &  ! [v9] :  ! [v10] : ( ~ (ordered_pair(v7, v9) = v10) |  ~ in(v9, v8) | in(v10, v1)))))))
% 27.62/7.15  | (787)  ! [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))
% 27.62/7.15  | (788)  ! [v0] :  ! [v1] : ( ~ relation(v0) |  ~ in(v1, v0) |  ? [v2] :  ? [v3] : ordered_pair(v2, v3) = v1)
% 27.62/7.15  | (789) function(all_0_21_21)
% 27.62/7.15  | (790)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v1, v3) = v5) |  ~ transitive(v0) |  ~ relation(v0) |  ~ in(v4, v0) | in(v5, v0) |  ? [v6] : (ordered_pair(v1, v2) = v6 &  ~ in(v6, v0)))
% 27.62/7.15  | (791)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (join_commut(v0, v1, v2) = v3) |  ~ join_semilatt_str(v0) |  ~ join_commutative(v0) | empty_carrier(v0) |  ? [v4] :  ? [v5] : (join(v0, v1, v2) = v5 & the_carrier(v0) = v4 & (v5 = v3 |  ~ element(v2, v4) |  ~ element(v1, v4))))
% 27.62/7.15  | (792)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ empty(v1))
% 27.62/7.15  | (793)  ~ (all_0_33_33 = all_0_34_34)
% 27.62/7.15  | (794)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) |  ~ subset(v0, v1) |  ~ relation(v1) |  ~ relation(v0) |  ~ in(v4, v0) | in(v4, v1))
% 27.62/7.15  | (795)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v4_membered(v0) | v1_membered(v2))
% 27.62/7.15  | (796)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_composition(v0, v1) = v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v1) |  ~ function(v0) | function(v2))
% 27.62/7.15  | (797)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (inclusion_relation(v0) = v1) |  ~ (relation_field(v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ subset(v3, v4) |  ~ relation(v1) |  ~ in(v4, v0) |  ~ in(v3, v0) | in(v5, v1))
% 27.62/7.15  | (798)  ! [v0] :  ! [v1] : ( ~ ordinal(v0) |  ~ element(v1, v0) | epsilon_connected(v1))
% 27.62/7.15  | (799) singleton(empty_set) = all_0_41_41
% 27.62/7.15  | (800)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (unordered_pair(v0, v1) = v3) |  ~ in(v1, v2) |  ~ in(v0, v2) | subset(v3, v2))
% 27.62/7.15  | (801)  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] : (( ~ in(v2, v1) |  ~ in(v2, v0)) & (in(v2, v1) | in(v2, v0))))
% 27.62/7.15  | (802)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (join(v4, v3, v2) = v1) |  ~ (join(v4, v3, v2) = v0))
% 27.62/7.15  | (803)  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ (relation_inverse_image(v1, v0) = empty_set) |  ~ relation(v1) |  ? [v2] : (relation_rng(v1) = v2 &  ~ subset(v0, v2)))
% 27.62/7.15  | (804) meet_semilatt_str(all_0_0_0)
% 27.62/7.15  | (805)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v1) |  ~ in(v5, v2) | in(v5, v1))
% 27.62/7.15  | (806)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] :  ? [v3] : (relation_inverse(v0) = v2 & relation_rng(v2) = v3 & relation_dom(v2) = v1 & relation_dom(v0) = v3))
% 27.62/7.15  | (807)  ! [v0] :  ! [v1] : ( ~ (powerset(v0) = v1) |  ~ empty(v1))
% 27.62/7.15  | (808)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v4_membered(v0) |  ~ element(v2, v1) | v2_membered(v2))
% 27.62/7.15  | (809)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ in(v0, v1) | subset(v2, v1))
% 27.62/7.15  | (810)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (singleton(v0) = v2) |  ~ subset(v2, v1) | in(v0, v1))
% 27.62/7.15  | (811)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = empty_set |  ~ (relation_dom_as_subset(v0, v1, v2) = v0) |  ~ relation_of2_as_subset(v2, v0, v1) | quasi_total(v2, v0, v1))
% 27.62/7.15  | (812)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (set_difference(v0, v2) = v3) |  ~ (singleton(v1) = v2) | in(v1, v0))
% 27.62/7.15  | (813)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (set_union2(v3, v2) = v1) |  ~ (set_union2(v3, v2) = v0))
% 27.62/7.15  | (814) relation(all_0_21_21)
% 27.62/7.15  | (815)  ! [v0] :  ! [v1] : ( ~ disjoint(v0, v1) | disjoint(v1, v0))
% 27.62/7.15  | (816)  ! [v0] :  ! [v1] : ( ~ equipotent(v0, v1) | are_equipotent(v0, v1))
% 27.62/7.15  | (817)  ! [v0] :  ! [v1] : ( ~ are_equipotent(v0, v1) | equipotent(v0, v1))
% 27.62/7.15  | (818)  ? [v0] : (function(v0) |  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v3 = v2) & ordered_pair(v1, v3) = v5 & ordered_pair(v1, v2) = v4 & in(v5, v0) & in(v4, v0)))
% 27.62/7.15  | (819)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (fiber(v0, v1) = v2) |  ~ (ordered_pair(v1, v1) = v3) |  ~ relation(v0) |  ~ in(v1, v2))
% 27.62/7.15  | (820)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (set_union2(v0, empty_set) = v1))
% 27.62/7.15  | (821)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (set_union2(v0, v1) = v2) |  ~ in(v3, v1) | in(v3, v2))
% 27.62/7.15  | (822) relation(all_0_6_6)
% 27.62/7.15  | (823)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) | epsilon_transitive(v1))
% 27.62/7.15  | (824)  ? [v0] :  ? [v1] :  ? [v2] : relation_of2_as_subset(v2, v0, v1)
% 27.62/7.15  | (825)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (powerset(v0) = v1) |  ~ v5_membered(v0) |  ~ element(v2, v1) | v1_membered(v2))
% 27.62/7.15  | (826)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v5_membered(v0) | v3_membered(v2))
% 27.62/7.15  | (827)  ! [v0] :  ! [v1] : ( ~ (union(v0) = v1) |  ~ ordinal(v0) | epsilon_connected(v1))
% 27.62/7.15  | (828)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ one_sorted_str(v0) |  ~ empty(v1) | empty_carrier(v0))
% 27.62/7.15  | (829)  ~ empty(all_0_16_16)
% 27.62/7.15  | (830)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (function_inverse(v2) = v1) |  ~ (function_inverse(v2) = v0))
% 27.62/7.15  | (831)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ~ in(v2, v1) |  ? [v3] :  ? [v4] : (ordered_pair(v3, v2) = v4 & in(v4, v0)))
% 27.62/7.15  | (832)  ! [v0] : (v0 = empty_set |  ~ subset(v0, empty_set))
% 27.62/7.15  | (833)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = empty_set |  ~ (subset_difference(v0, v2, v3) = v4) |  ~ (union_of_subsets(v0, v1) = v3) |  ~ (cast_to_subset(v0) = v2) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (meet_of_subsets(v0, v7) = v8 & complements_of_subsets(v0, v1) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & (v8 = v4 |  ~ element(v1, v6))))
% 27.62/7.15  | (834) v5_membered(all_0_7_7)
% 27.62/7.15  | (835) latt_str(all_0_3_3)
% 27.62/7.15  | (836)  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ~ one_to_one(v0) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] :  ? [v3] : (relation_rng(v1) = v3 & relation_rng(v0) = v2 & relation_dom(v1) = v2 & relation_dom(v0) = v3))
% 27.62/7.15  | (837) epsilon_connected(all_0_4_4)
% 27.62/7.15  | (838)  ! [v0] :  ! [v1] : ( ~ (relation_field(v0) = v1) |  ~ is_transitive_in(v0, v1) |  ~ relation(v0) | transitive(v0))
% 27.62/7.15  | (839)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v1) = v4) |  ~ (cartesian_product2(v2, v0) = v3) |  ~ subset(v0, v1) |  ? [v5] :  ? [v6] : (cartesian_product2(v1, v2) = v6 & cartesian_product2(v0, v2) = v5 & subset(v5, v6)))
% 27.62/7.15  | (840)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (identity_relation(v0) = v1) |  ~ (ordered_pair(v2, v3) = v4) |  ~ relation(v1) |  ~ in(v4, v1))
% 27.62/7.15  | (841)  ! [v0] :  ! [v1] : ( ~ well_orders(v0, v1) |  ~ relation(v0) | is_reflexive_in(v0, v1))
% 27.62/7.15  | (842)  ! [v0] :  ! [v1] : ( ~ (relation_dom(v0) = v1) |  ~ relation(v0) |  ~ function(v0) |  ? [v2] : (relation_rng(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (apply(v0, v4) = v3) |  ~ in(v4, v1) | in(v3, v2)) &  ! [v3] : ( ~ in(v3, v2) |  ? [v4] : (apply(v0, v4) = v3 & in(v4, v1))) &  ? [v3] : (v3 = v2 |  ? [v4] :  ? [v5] :  ? [v6] : (( ~ in(v4, v3) |  ! [v7] : ( ~ (apply(v0, v7) = v4) |  ~ in(v7, v1))) & (in(v4, v3) | (v6 = v4 & apply(v0, v5) = v4 & in(v5, v1)))))))
% 27.62/7.15  | (843)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ join_semilatt_str(v0) | empty_carrier(v0) |  ? [v2] : (the_L_join(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (join(v0, v3, v4) = v5) |  ~ element(v4, v1) |  ~ element(v3, v1) | apply_binary_as_element(v1, v1, v1, v2, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (apply_binary_as_element(v1, v1, v1, v2, v3, v4) = v5) |  ~ element(v4, v1) |  ~ element(v3, v1) | join(v0, v3, v4) = v5)))
% 27.62/7.15  | (844)  ! [v0] :  ! [v1] : ( ~ is_well_founded_in(v0, v1) |  ~ is_reflexive_in(v0, v1) |  ~ is_transitive_in(v0, v1) |  ~ is_connected_in(v0, v1) |  ~ is_antisymmetric_in(v0, v1) |  ~ relation(v0) | well_orders(v0, v1))
% 27.62/7.16  | (845)  ! [v0] :  ! [v1] : ( ~ (inclusion_relation(v0) = v1) |  ~ ordinal(v0) | well_ordering(v1))
% 27.62/7.16  | (846)  ! [v0] :  ! [v1] : ( ~ (the_L_join(v0) = v1) |  ~ join_semilatt_str(v0) | function(v1))
% 27.62/7.16  | (847)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v5_membered(v0) | v1_membered(v2))
% 27.62/7.16  | (848)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (relation_inverse(v2) = v1) |  ~ (relation_inverse(v2) = v0))
% 27.62/7.16  | (849)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ element(v1, v0) | v1_int_1(v1))
% 27.62/7.16  | (850)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | in(v0, v2))
% 27.62/7.16  | (851)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_difference(v0, v1) = v2) |  ~ v5_membered(v0) | v3_membered(v2))
% 27.62/7.16  | (852)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (relation_dom(v1) = v0) |  ~ (identity_relation(v0) = v2) |  ~ relation(v1) |  ~ function(v1) |  ? [v3] :  ? [v4] : ( ~ (v4 = v3) & apply(v1, v3) = v4 & in(v3, v0)))
% 27.62/7.16  | (853)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_dom(v0) = v1) |  ~ (relation_image(v0, v1) = v2) |  ~ relation(v0) | relation_rng(v0) = v2)
% 27.62/7.16  | (854)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjoint(v1, v2) |  ~ subset(v0, v1) | disjoint(v0, v2))
% 27.62/7.16  | (855)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | subset(v2, v0))
% 27.62/7.16  | (856)  ? [v0] :  ? [v1] : (in(v0, v1) &  ! [v2] :  ! [v3] : ( ~ subset(v3, v2) |  ~ in(v2, v1) | in(v3, v1)) &  ! [v2] : ( ~ subset(v2, v1) | are_equipotent(v2, v1) | in(v2, v1)) &  ! [v2] : ( ~ in(v2, v1) |  ? [v3] : (in(v3, v1) &  ! [v4] : ( ~ subset(v4, v2) | in(v4, v3)))))
% 27.62/7.16  | (857)  ! [v0] :  ! [v1] : ( ~ (function_inverse(v0) = v1) |  ~ relation(v0) |  ~ function(v0) | function(v1))
% 27.62/7.16  | (858)  ! [v0] : ( ~ empty(v0) | epsilon_transitive(v0))
% 27.62/7.16  | (859)  ! [v0] :  ! [v1] : ( ~ ordinal(v0) |  ~ element(v1, v0) | ordinal(v1))
% 27.62/7.16  | (860)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (cast_as_carrier_subset(v2) = v1) |  ~ (cast_as_carrier_subset(v2) = v0))
% 27.62/7.16  | (861)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ relation_isomorphism(v0, v1, v2) |  ~ antisymmetric(v0) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ function(v2) | antisymmetric(v1))
% 27.62/7.16  | (862)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (ordered_pair(v2, v3) = v4) |  ~ (ordered_pair(v0, v1) = v4))
% 27.62/7.16  | (863)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (singleton(v0) = v3) |  ~ (unordered_pair(v1, v2) = v3))
% 27.62/7.16  | (864)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_inverse_image(v1, v0) = v2) |  ~ (relation_image(v1, v2) = v3) |  ~ relation(v1) |  ~ function(v1) | subset(v3, v0))
% 27.62/7.16  | (865)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (cartesian_product2(v2, v1) = v4) |  ~ (cartesian_product2(v2, v0) = v3) |  ~ subset(v0, v1) | subset(v3, v4))
% 27.62/7.16  | (866)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng(v0) = v2) |  ~ (relation_dom(v0) = v1) |  ~ (set_union2(v1, v2) = v3) |  ~ relation(v0) | relation_field(v0) = v3)
% 27.62/7.16  | (867) v1_membered(empty_set)
% 27.62/7.16  | (868)  ! [v0] :  ! [v1] : ( ~ equipotent(v0, v1) |  ? [v2] : (relation_rng(v2) = v1 & relation_dom(v2) = v0 & one_to_one(v2) & relation(v2) & function(v2)))
% 27.62/7.16  | (869)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ element(v1, v0) | v1_xcmplx_0(v1))
% 27.62/7.16  | (870)  ! [v0] :  ! [v1] : (v0 = empty_set |  ~ (relation_dom_as_subset(v0, empty_set, empty_set) = v1) |  ~ relation_of2_as_subset(empty_set, v0, empty_set) | quasi_total(empty_set, v0, empty_set))
% 27.62/7.16  | (871)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_inverse_image(v1, v0) = v2) |  ~ relation(v1) |  ? [v3] : (relation_dom(v1) = v3 & subset(v2, v3)))
% 27.62/7.16  | (872)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ well_ordering(v1) |  ~ relation(v1) | well_ordering(v2))
% 27.62/7.16  | (873)  ! [v0] :  ! [v1] : ( ~ (relation_rng(v0) = v1) |  ~ relation(v0) |  ? [v2] : (relation_dom(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) | subset(v1, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_rng(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) |  ? [v5] : (relation_dom(v3) = v5 & subset(v2, v5))) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) | subset(v2, v4)) &  ! [v3] :  ! [v4] : ( ~ (relation_dom(v3) = v4) |  ~ subset(v0, v3) |  ~ relation(v3) |  ? [v5] : (relation_rng(v3) = v5 & subset(v1, v5)))))
% 27.62/7.16  | (874) function(all_0_17_17)
% 27.62/7.16  | (875)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v2_membered(v0) | v1_membered(v2))
% 27.62/7.16  | (876)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (the_L_meet(v2) = v1) |  ~ (the_L_meet(v2) = v0))
% 27.62/7.16  | (877)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v5_membered(v0) | v2_membered(v2))
% 27.62/7.16  | (878)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (relation_rng(v0) = v1) |  ~ (ordered_pair(v3, v2) = v4) |  ~ relation(v0) |  ~ in(v4, v0) | in(v2, v1))
% 27.62/7.16  | (879)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (relation_dom_restriction(v2, v0) = v3) |  ~ relation(v1) | relation_restriction(v1, v0) = v3)
% 27.62/7.16  | (880)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ element(v1, v0) | v1_int_1(v1))
% 27.62/7.16  | (881)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ordered_pair(v2, v4) = v6) |  ~ (ordered_pair(v2, v3) = v5) |  ~ is_transitive_in(v0, v1) |  ~ relation(v0) |  ~ in(v5, v0) |  ~ in(v4, v1) |  ~ in(v3, v1) |  ~ in(v2, v1) | in(v6, v0) |  ? [v7] : (ordered_pair(v3, v4) = v7 &  ~ in(v7, v0)))
% 27.62/7.16  | (882)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) |  ~ v3_membered(v0) | v3_membered(v2))
% 27.62/7.16  | (883)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_inverse_image(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v0) |  ~ in(v5, v0) |  ~ in(v4, v1) | in(v3, v2))
% 27.62/7.16  | (884)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = empty_set |  ~ is_well_founded_in(v0, v1) |  ~ subset(v2, v1) |  ~ relation(v0) |  ? [v3] :  ? [v4] : (fiber(v0, v3) = v4 & disjoint(v4, v2) & in(v3, v2)))
% 27.62/7.16  | (885)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (ordered_pair(v3, v2) = v4) |  ~ is_antisymmetric_in(v0, v1) |  ~ relation(v0) |  ~ in(v4, v0) |  ~ in(v3, v1) |  ~ in(v2, v1) |  ? [v5] : (ordered_pair(v2, v3) = v5 &  ~ in(v5, v0)))
% 27.62/7.16  | (886)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) |  ~ well_founded_relation(v1) |  ~ relation(v1) | well_founded_relation(v2))
% 27.62/7.16  | (887) epsilon_connected(all_0_8_8)
% 27.62/7.16  | (888)  ! [v0] :  ! [v1] : ( ~ (the_carrier(v0) = v1) |  ~ meet_semilatt_str(v0) | empty_carrier(v0) |  ? [v2] : (the_L_meet(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (meet(v0, v3, v4) = v5) |  ~ element(v4, v1) |  ~ element(v3, v1) | apply_binary_as_element(v1, v1, v1, v2, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (apply_binary_as_element(v1, v1, v1, v2, v3, v4) = v5) |  ~ element(v4, v1) |  ~ element(v3, v1) | meet(v0, v3, v4) = v5)))
% 27.62/7.16  | (889)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (relation_dom(v1) = v2) |  ~ (identity_relation(v0) = v1) |  ~ relation(v1) |  ~ function(v1))
% 27.62/7.16  | (890)  ! [v0] : ( ~ latt_str(v0) | meet_semilatt_str(v0))
% 27.62/7.16  | (891)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (cartesian_product2(v0, v0) = v3) |  ~ relation(v2) |  ~ relation(v1) |  ~ function(v2) |  ? [v4] : ( ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (apply(v2, v7) = v9) |  ~ (apply(v2, v6) = v8) |  ~ (ordered_pair(v8, v9) = v10) |  ~ in(v10, v1) |  ~ in(v5, v3) | in(v5, v4) |  ? [v11] : ( ~ (v11 = v5) & ordered_pair(v6, v7) = v11)) &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (ordered_pair(v6, v7) = v5) |  ~ in(v5, v3) | in(v5, v4) |  ? [v8] :  ? [v9] :  ? [v10] : (apply(v2, v7) = v9 & apply(v2, v6) = v8 & ordered_pair(v8, v9) = v10 &  ~ in(v10, v1))) &  ! [v5] : ( ~ in(v5, v4) | in(v5, v3)) &  ! [v5] : ( ~ in(v5, v4) |  ? [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)))))
% 27.62/7.16  | (892)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) |  ~ v5_membered(v0) | v3_membered(v2))
% 27.62/7.16  | (893)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) |  ~ ordinal(v0) | ordinal(v1))
% 27.62/7.16  | (894)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v0) |  ~ in(v5, v2) | in(v5, v0))
% 27.62/7.16  | (895)  ! [v0] :  ! [v1] : ( ~ (the_L_meet(v0) = v1) |  ~ meet_semilatt_str(v0) | empty_carrier(v0) |  ? [v2] : (the_carrier(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (meet(v0, v3, v4) = v5) |  ~ element(v4, v2) |  ~ element(v3, v2) | apply_binary_as_element(v2, v2, v2, v1, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (apply_binary_as_element(v2, v2, v2, v1, v3, v4) = v5) |  ~ element(v4, v2) |  ~ element(v3, v2) | meet(v0, v3, v4) = v5)))
% 27.62/7.16  | (896)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (ordered_pair(v0, v1) = v4) |  ~ (cartesian_product2(v2, v3) = v5) |  ~ in(v1, v3) |  ~ in(v0, v2) | in(v4, v5))
% 27.62/7.16  | (897)  ! [v0] : ( ~ being_limit_ordinal(v0) |  ~ ordinal(v0) |  ~ in(empty_set, v0) | subset(omega, v0))
% 27.62/7.16  | (898)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (relation_composition(v0, v1) = v2) |  ~ (ordered_pair(v3, v6) = v7) |  ~ (ordered_pair(v3, v4) = v5) |  ~ relation(v2) |  ~ relation(v1) |  ~ relation(v0) |  ~ in(v7, v0) | in(v5, v2) |  ? [v8] : (ordered_pair(v6, v4) = v8 &  ~ in(v8, v1)))
% 27.62/7.16  |
% 27.62/7.16  | Instantiating formula (583) with all_0_33_33, all_0_35_35, all_0_36_36, all_0_38_38 and discharging atoms subset_difference(all_0_38_38, all_0_36_36, all_0_35_35) = all_0_33_33, yields:
% 27.62/7.16  | (899)  ? [v0] :  ? [v1] : (set_difference(all_0_36_36, all_0_35_35) = v1 & powerset(all_0_38_38) = v0 & (v1 = all_0_33_33 |  ~ element(all_0_35_35, v0) |  ~ element(all_0_36_36, v0)))
% 27.62/7.16  |
% 27.62/7.16  | Instantiating formula (117) with all_0_33_33, all_0_35_35, all_0_36_36, all_0_38_38 and discharging atoms subset_difference(all_0_38_38, all_0_36_36, all_0_35_35) = all_0_33_33, yields:
% 27.62/7.16  | (900)  ? [v0] : (powerset(all_0_38_38) = v0 & ( ~ element(all_0_35_35, v0) |  ~ element(all_0_36_36, v0) | element(all_0_33_33, v0)))
% 27.62/7.16  |
% 27.62/7.16  | Instantiating formula (6) with all_0_34_34, all_0_35_35, all_0_38_38 and discharging atoms subset_complement(all_0_38_38, all_0_35_35) = all_0_34_34, yields:
% 27.62/7.16  | (901)  ? [v0] :  ? [v1] : (set_difference(all_0_38_38, all_0_35_35) = v1 & powerset(all_0_38_38) = v0 & (v1 = all_0_34_34 |  ~ element(all_0_35_35, v0)))
% 27.62/7.16  |
% 27.62/7.16  | Instantiating formula (329) with all_0_34_34, all_0_35_35, all_0_38_38 and discharging atoms subset_complement(all_0_38_38, all_0_35_35) = all_0_34_34, yields:
% 27.62/7.16  | (902)  ? [v0] : (powerset(all_0_38_38) = v0 & ( ~ element(all_0_35_35, v0) | element(all_0_34_34, v0)))
% 27.62/7.16  |
% 27.62/7.16  | Instantiating formula (676) with all_0_37_37, all_0_38_38 and discharging atoms powerset(all_0_38_38) = all_0_37_37, yields:
% 27.62/7.16  | (903)  ? [v0] : (cast_to_subset(all_0_38_38) = v0 & element(v0, all_0_37_37))
% 27.62/7.16  |
% 27.62/7.16  | Instantiating formula (559) with all_0_36_36, all_0_39_39 and discharging atoms cast_as_carrier_subset(all_0_39_39) = all_0_36_36, one_sorted_str(all_0_39_39), yields:
% 27.62/7.16  | (904) the_carrier(all_0_39_39) = all_0_36_36
% 27.62/7.16  |
% 27.62/7.16  | Instantiating formula (52) with all_0_36_36, all_0_39_39 and discharging atoms cast_as_carrier_subset(all_0_39_39) = all_0_36_36, one_sorted_str(all_0_39_39), yields:
% 27.62/7.16  | (905)  ? [v0] :  ? [v1] : (the_carrier(all_0_39_39) = v0 & powerset(v0) = v1 & element(all_0_36_36, v1))
% 27.62/7.16  |
% 27.62/7.17  | Instantiating formula (675) with all_0_36_36, all_0_39_39 and discharging atoms cast_as_carrier_subset(all_0_39_39) = all_0_36_36, one_sorted_str(all_0_39_39), yields:
% 27.62/7.17  | (906)  ? [v0] :  ? [v1] : (the_carrier(all_0_39_39) = v0 & powerset(v0) = v1 &  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (subset_intersection2(v0, v2, all_0_36_36) = v3) |  ~ element(v2, v1)))
% 27.62/7.17  |
% 27.62/7.17  | Instantiating formula (332) with all_0_38_38, all_0_39_39 and discharging atoms the_carrier(all_0_39_39) = all_0_38_38, one_sorted_str(all_0_39_39), yields:
% 27.62/7.17  | (907)  ? [v0] :  ? [v1] : (cast_as_carrier_subset(all_0_39_39) = v1 & powerset(all_0_38_38) = v0 &  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (subset_intersection2(all_0_38_38, v2, v1) = v3) |  ~ element(v2, v0)))
% 27.62/7.17  |
% 27.62/7.17  | Instantiating formula (509) with all_0_38_38, all_0_39_39 and discharging atoms the_carrier(all_0_39_39) = all_0_38_38, one_sorted_str(all_0_39_39), yields:
% 27.62/7.17  | (908)  ? [v0] :  ? [v1] : (cast_as_carrier_subset(all_0_39_39) = v0 & powerset(all_0_38_38) = v1 & element(v0, v1))
% 27.62/7.17  |
% 27.62/7.17  | Instantiating (902) with all_164_0_139 yields:
% 27.62/7.17  | (909) powerset(all_0_38_38) = all_164_0_139 & ( ~ element(all_0_35_35, all_164_0_139) | element(all_0_34_34, all_164_0_139))
% 27.62/7.17  |
% 27.62/7.17  | Applying alpha-rule on (909) yields:
% 27.62/7.17  | (910) powerset(all_0_38_38) = all_164_0_139
% 27.62/7.17  | (911)  ~ element(all_0_35_35, all_164_0_139) | element(all_0_34_34, all_164_0_139)
% 27.62/7.17  |
% 27.62/7.17  | Instantiating (901) with all_166_0_140, all_166_1_141 yields:
% 27.62/7.17  | (912) set_difference(all_0_38_38, all_0_35_35) = all_166_0_140 & powerset(all_0_38_38) = all_166_1_141 & (all_166_0_140 = all_0_34_34 |  ~ element(all_0_35_35, all_166_1_141))
% 27.62/7.17  |
% 27.62/7.17  | Applying alpha-rule on (912) yields:
% 27.62/7.17  | (913) set_difference(all_0_38_38, all_0_35_35) = all_166_0_140
% 27.62/7.17  | (914) powerset(all_0_38_38) = all_166_1_141
% 27.62/7.17  | (915) all_166_0_140 = all_0_34_34 |  ~ element(all_0_35_35, all_166_1_141)
% 27.62/7.17  |
% 27.62/7.17  | Instantiating (900) with all_193_0_164 yields:
% 27.62/7.17  | (916) powerset(all_0_38_38) = all_193_0_164 & ( ~ element(all_0_35_35, all_193_0_164) |  ~ element(all_0_36_36, all_193_0_164) | element(all_0_33_33, all_193_0_164))
% 27.62/7.17  |
% 27.62/7.17  | Applying alpha-rule on (916) yields:
% 27.62/7.17  | (917) powerset(all_0_38_38) = all_193_0_164
% 27.62/7.17  | (918)  ~ element(all_0_35_35, all_193_0_164) |  ~ element(all_0_36_36, all_193_0_164) | element(all_0_33_33, all_193_0_164)
% 27.62/7.17  |
% 27.62/7.17  | Instantiating (899) with all_195_0_165, all_195_1_166 yields:
% 27.62/7.17  | (919) set_difference(all_0_36_36, all_0_35_35) = all_195_0_165 & powerset(all_0_38_38) = all_195_1_166 & (all_195_0_165 = all_0_33_33 |  ~ element(all_0_35_35, all_195_1_166) |  ~ element(all_0_36_36, all_195_1_166))
% 27.62/7.17  |
% 27.62/7.17  | Applying alpha-rule on (919) yields:
% 27.62/7.17  | (920) set_difference(all_0_36_36, all_0_35_35) = all_195_0_165
% 27.62/7.17  | (921) powerset(all_0_38_38) = all_195_1_166
% 27.62/7.17  | (922) all_195_0_165 = all_0_33_33 |  ~ element(all_0_35_35, all_195_1_166) |  ~ element(all_0_36_36, all_195_1_166)
% 27.62/7.17  |
% 27.62/7.17  | Instantiating (905) with all_197_0_167, all_197_1_168 yields:
% 27.62/7.17  | (923) the_carrier(all_0_39_39) = all_197_1_168 & powerset(all_197_1_168) = all_197_0_167 & element(all_0_36_36, all_197_0_167)
% 27.62/7.17  |
% 27.62/7.17  | Applying alpha-rule on (923) yields:
% 27.62/7.17  | (924) the_carrier(all_0_39_39) = all_197_1_168
% 27.62/7.17  | (925) powerset(all_197_1_168) = all_197_0_167
% 27.62/7.17  | (926) element(all_0_36_36, all_197_0_167)
% 27.62/7.17  |
% 27.62/7.17  | Instantiating (903) with all_209_0_178 yields:
% 27.62/7.17  | (927) cast_to_subset(all_0_38_38) = all_209_0_178 & element(all_209_0_178, all_0_37_37)
% 27.62/7.17  |
% 27.62/7.17  | Applying alpha-rule on (927) yields:
% 27.62/7.17  | (928) cast_to_subset(all_0_38_38) = all_209_0_178
% 27.62/7.17  | (929) element(all_209_0_178, all_0_37_37)
% 27.62/7.17  |
% 27.62/7.17  | Instantiating (906) with all_281_0_215, all_281_1_216 yields:
% 27.62/7.17  | (930) the_carrier(all_0_39_39) = all_281_1_216 & powerset(all_281_1_216) = all_281_0_215 &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (subset_intersection2(all_281_1_216, v0, all_0_36_36) = v1) |  ~ element(v0, all_281_0_215))
% 27.62/7.17  |
% 27.62/7.17  | Applying alpha-rule on (930) yields:
% 27.62/7.17  | (931) the_carrier(all_0_39_39) = all_281_1_216
% 27.62/7.17  | (932) powerset(all_281_1_216) = all_281_0_215
% 27.62/7.17  | (933)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (subset_intersection2(all_281_1_216, v0, all_0_36_36) = v1) |  ~ element(v0, all_281_0_215))
% 27.62/7.17  |
% 27.62/7.17  | Instantiating (907) with all_287_0_218, all_287_1_219 yields:
% 27.62/7.17  | (934) cast_as_carrier_subset(all_0_39_39) = all_287_0_218 & powerset(all_0_38_38) = all_287_1_219 &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (subset_intersection2(all_0_38_38, v0, all_287_0_218) = v1) |  ~ element(v0, all_287_1_219))
% 27.62/7.17  |
% 27.62/7.17  | Applying alpha-rule on (934) yields:
% 27.62/7.17  | (935) cast_as_carrier_subset(all_0_39_39) = all_287_0_218
% 27.62/7.17  | (936) powerset(all_0_38_38) = all_287_1_219
% 27.62/7.17  | (937)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (subset_intersection2(all_0_38_38, v0, all_287_0_218) = v1) |  ~ element(v0, all_287_1_219))
% 27.62/7.17  |
% 27.62/7.17  | Instantiating (908) with all_332_0_243, all_332_1_244 yields:
% 27.62/7.17  | (938) cast_as_carrier_subset(all_0_39_39) = all_332_1_244 & powerset(all_0_38_38) = all_332_0_243 & element(all_332_1_244, all_332_0_243)
% 27.62/7.17  |
% 27.62/7.17  | Applying alpha-rule on (938) yields:
% 27.62/7.17  | (939) cast_as_carrier_subset(all_0_39_39) = all_332_1_244
% 27.62/7.17  | (940) powerset(all_0_38_38) = all_332_0_243
% 27.62/7.17  | (941) element(all_332_1_244, all_332_0_243)
% 27.62/7.17  |
% 27.62/7.17  | Instantiating formula (620) with all_209_0_178, all_0_38_38 and discharging atoms cast_to_subset(all_0_38_38) = all_209_0_178, yields:
% 27.62/7.17  | (942) all_209_0_178 = all_0_38_38
% 27.62/7.17  |
% 27.62/7.17  | Instantiating formula (436) with all_0_39_39, all_197_1_168, all_0_38_38 and discharging atoms the_carrier(all_0_39_39) = all_197_1_168, the_carrier(all_0_39_39) = all_0_38_38, yields:
% 27.62/7.17  | (943) all_197_1_168 = all_0_38_38
% 27.62/7.17  |
% 27.62/7.17  | Instantiating formula (436) with all_0_39_39, all_197_1_168, all_281_1_216 and discharging atoms the_carrier(all_0_39_39) = all_281_1_216, the_carrier(all_0_39_39) = all_197_1_168, yields:
% 27.62/7.17  | (944) all_281_1_216 = all_197_1_168
% 27.62/7.17  |
% 27.62/7.17  | Instantiating formula (436) with all_0_39_39, all_0_36_36, all_281_1_216 and discharging atoms the_carrier(all_0_39_39) = all_281_1_216, the_carrier(all_0_39_39) = all_0_36_36, yields:
% 27.62/7.17  | (945) all_281_1_216 = all_0_36_36
% 27.62/7.17  |
% 27.62/7.17  | Instantiating formula (731) with all_0_38_38, all_287_1_219, all_332_0_243 and discharging atoms powerset(all_0_38_38) = all_332_0_243, powerset(all_0_38_38) = all_287_1_219, yields:
% 27.62/7.17  | (946) all_332_0_243 = all_287_1_219
% 27.62/7.17  |
% 27.62/7.17  | Instantiating formula (731) with all_0_38_38, all_195_1_166, all_0_37_37 and discharging atoms powerset(all_0_38_38) = all_195_1_166, powerset(all_0_38_38) = all_0_37_37, yields:
% 27.62/7.17  | (947) all_195_1_166 = all_0_37_37
% 27.62/7.17  |
% 27.62/7.17  | Instantiating formula (731) with all_0_38_38, all_193_0_164, all_287_1_219 and discharging atoms powerset(all_0_38_38) = all_287_1_219, powerset(all_0_38_38) = all_193_0_164, yields:
% 27.62/7.17  | (948) all_287_1_219 = all_193_0_164
% 27.62/7.17  |
% 27.62/7.17  | Instantiating formula (731) with all_0_38_38, all_193_0_164, all_195_1_166 and discharging atoms powerset(all_0_38_38) = all_195_1_166, powerset(all_0_38_38) = all_193_0_164, yields:
% 27.62/7.17  | (949) all_195_1_166 = all_193_0_164
% 27.62/7.17  |
% 27.62/7.17  | Instantiating formula (731) with all_0_38_38, all_166_1_141, all_287_1_219 and discharging atoms powerset(all_0_38_38) = all_287_1_219, powerset(all_0_38_38) = all_166_1_141, yields:
% 27.62/7.17  | (950) all_287_1_219 = all_166_1_141
% 27.62/7.17  |
% 27.62/7.17  | Instantiating formula (731) with all_0_38_38, all_164_0_139, all_332_0_243 and discharging atoms powerset(all_0_38_38) = all_332_0_243, powerset(all_0_38_38) = all_164_0_139, yields:
% 27.62/7.17  | (951) all_332_0_243 = all_164_0_139
% 27.62/7.17  |
% 27.62/7.17  | Combining equations (946,951) yields a new equation:
% 27.62/7.17  | (952) all_287_1_219 = all_164_0_139
% 27.62/7.17  |
% 27.62/7.17  | Simplifying 952 yields:
% 27.62/7.17  | (953) all_287_1_219 = all_164_0_139
% 27.62/7.17  |
% 27.62/7.17  | Combining equations (948,950) yields a new equation:
% 27.62/7.17  | (954) all_193_0_164 = all_166_1_141
% 27.62/7.17  |
% 27.62/7.17  | Simplifying 954 yields:
% 27.62/7.17  | (955) all_193_0_164 = all_166_1_141
% 27.62/7.17  |
% 27.62/7.17  | Combining equations (953,950) yields a new equation:
% 27.62/7.17  | (956) all_166_1_141 = all_164_0_139
% 27.62/7.17  |
% 27.62/7.17  | Combining equations (944,945) yields a new equation:
% 27.62/7.17  | (957) all_197_1_168 = all_0_36_36
% 27.62/7.17  |
% 27.62/7.17  | Simplifying 957 yields:
% 27.62/7.17  | (958) all_197_1_168 = all_0_36_36
% 27.62/7.17  |
% 27.62/7.17  | Combining equations (943,958) yields a new equation:
% 27.62/7.17  | (959) all_0_36_36 = all_0_38_38
% 27.62/7.17  |
% 27.62/7.17  | Combining equations (949,947) yields a new equation:
% 27.62/7.17  | (960) all_193_0_164 = all_0_37_37
% 27.62/7.17  |
% 27.62/7.17  | Simplifying 960 yields:
% 27.62/7.17  | (961) all_193_0_164 = all_0_37_37
% 27.62/7.17  |
% 27.62/7.17  | Combining equations (955,961) yields a new equation:
% 27.62/7.17  | (962) all_166_1_141 = all_0_37_37
% 27.62/7.17  |
% 27.62/7.17  | Simplifying 962 yields:
% 27.62/7.17  | (963) all_166_1_141 = all_0_37_37
% 27.62/7.17  |
% 27.62/7.17  | Combining equations (963,956) yields a new equation:
% 27.62/7.17  | (964) all_164_0_139 = all_0_37_37
% 27.62/7.17  |
% 27.62/7.17  | Combining equations (964,956) yields a new equation:
% 27.62/7.17  | (963) all_166_1_141 = all_0_37_37
% 27.62/7.17  |
% 27.62/7.17  | From (959) and (920) follows:
% 27.62/7.17  | (966) set_difference(all_0_38_38, all_0_35_35) = all_195_0_165
% 27.62/7.17  |
% 27.62/7.17  | From (942) and (929) follows:
% 27.62/7.17  | (967) element(all_0_38_38, all_0_37_37)
% 27.62/7.17  |
% 27.62/7.17  +-Applying beta-rule and splitting (922), into two cases.
% 27.62/7.17  |-Branch one:
% 27.62/7.17  | (968)  ~ element(all_0_35_35, all_195_1_166)
% 27.62/7.17  |
% 27.62/7.17  	| From (947) and (968) follows:
% 27.62/7.17  	| (969)  ~ element(all_0_35_35, all_0_37_37)
% 27.62/7.17  	|
% 27.62/7.17  	| Using (454) and (969) yields:
% 27.62/7.17  	| (970) $false
% 27.62/7.17  	|
% 27.62/7.17  	|-The branch is then unsatisfiable
% 27.62/7.17  |-Branch two:
% 27.62/7.17  | (971) element(all_0_35_35, all_195_1_166)
% 27.62/7.17  | (972) all_195_0_165 = all_0_33_33 |  ~ element(all_0_36_36, all_195_1_166)
% 27.62/7.17  |
% 27.62/7.17  	| From (947) and (971) follows:
% 27.62/7.17  	| (454) element(all_0_35_35, all_0_37_37)
% 27.62/7.17  	|
% 27.62/7.17  	+-Applying beta-rule and splitting (911), into two cases.
% 27.62/7.17  	|-Branch one:
% 27.62/7.17  	| (974)  ~ element(all_0_35_35, all_164_0_139)
% 27.62/7.17  	|
% 27.62/7.17  		| From (964) and (974) follows:
% 27.62/7.17  		| (969)  ~ element(all_0_35_35, all_0_37_37)
% 27.62/7.17  		|
% 27.62/7.17  		| Using (454) and (969) yields:
% 27.62/7.17  		| (970) $false
% 27.62/7.17  		|
% 27.62/7.17  		|-The branch is then unsatisfiable
% 27.62/7.17  	|-Branch two:
% 27.62/7.17  	| (977) element(all_0_35_35, all_164_0_139)
% 27.62/7.17  	| (978) element(all_0_34_34, all_164_0_139)
% 27.62/7.17  	|
% 27.62/7.17  		| From (964) and (977) follows:
% 27.62/7.17  		| (454) element(all_0_35_35, all_0_37_37)
% 27.62/7.17  		|
% 27.62/7.17  		+-Applying beta-rule and splitting (972), into two cases.
% 27.62/7.17  		|-Branch one:
% 27.62/7.17  		| (980)  ~ element(all_0_36_36, all_195_1_166)
% 27.62/7.17  		|
% 27.62/7.17  			| From (959)(947) and (980) follows:
% 27.62/7.17  			| (981)  ~ element(all_0_38_38, all_0_37_37)
% 27.62/7.17  			|
% 27.62/7.17  			| Using (967) and (981) yields:
% 27.62/7.17  			| (970) $false
% 27.62/7.17  			|
% 27.62/7.17  			|-The branch is then unsatisfiable
% 27.62/7.17  		|-Branch two:
% 27.62/7.17  		| (983) element(all_0_36_36, all_195_1_166)
% 27.62/7.17  		| (984) all_195_0_165 = all_0_33_33
% 27.62/7.17  		|
% 27.62/7.17  			| From (984) and (966) follows:
% 27.62/7.18  			| (985) set_difference(all_0_38_38, all_0_35_35) = all_0_33_33
% 27.62/7.18  			|
% 27.62/7.18  			+-Applying beta-rule and splitting (918), into two cases.
% 27.62/7.18  			|-Branch one:
% 27.62/7.18  			| (986)  ~ element(all_0_35_35, all_193_0_164)
% 27.62/7.18  			|
% 27.62/7.18  				| From (961) and (986) follows:
% 27.62/7.18  				| (969)  ~ element(all_0_35_35, all_0_37_37)
% 27.62/7.18  				|
% 27.62/7.18  				| Using (454) and (969) yields:
% 27.62/7.18  				| (970) $false
% 27.62/7.18  				|
% 27.62/7.18  				|-The branch is then unsatisfiable
% 27.62/7.18  			|-Branch two:
% 27.62/7.18  			| (989) element(all_0_35_35, all_193_0_164)
% 27.62/7.18  			| (990)  ~ element(all_0_36_36, all_193_0_164) | element(all_0_33_33, all_193_0_164)
% 27.62/7.18  			|
% 27.62/7.18  				| From (961) and (989) follows:
% 27.62/7.18  				| (454) element(all_0_35_35, all_0_37_37)
% 27.62/7.18  				|
% 27.62/7.18  				+-Applying beta-rule and splitting (915), into two cases.
% 27.62/7.18  				|-Branch one:
% 27.62/7.18  				| (992)  ~ element(all_0_35_35, all_166_1_141)
% 27.62/7.18  				|
% 27.62/7.18  					| From (963) and (992) follows:
% 27.62/7.18  					| (969)  ~ element(all_0_35_35, all_0_37_37)
% 27.62/7.18  					|
% 27.62/7.18  					| Using (454) and (969) yields:
% 27.62/7.18  					| (970) $false
% 27.62/7.18  					|
% 27.62/7.18  					|-The branch is then unsatisfiable
% 27.62/7.18  				|-Branch two:
% 27.62/7.18  				| (995) element(all_0_35_35, all_166_1_141)
% 27.62/7.18  				| (996) all_166_0_140 = all_0_34_34
% 27.62/7.18  				|
% 27.62/7.18  					| From (996) and (913) follows:
% 27.62/7.18  					| (997) set_difference(all_0_38_38, all_0_35_35) = all_0_34_34
% 27.62/7.18  					|
% 27.62/7.18  					| Instantiating formula (25) with all_0_38_38, all_0_35_35, all_0_34_34, all_0_33_33 and discharging atoms set_difference(all_0_38_38, all_0_35_35) = all_0_33_33, set_difference(all_0_38_38, all_0_35_35) = all_0_34_34, yields:
% 27.62/7.18  					| (998) all_0_33_33 = all_0_34_34
% 27.62/7.18  					|
% 27.62/7.18  					| Equations (998) can reduce 793 to:
% 27.62/7.18  					| (999) $false
% 27.62/7.18  					|
% 27.62/7.18  					|-The branch is then unsatisfiable
% 27.62/7.18  % SZS output end Proof for theBenchmark
% 27.62/7.18  
% 27.62/7.18  6587ms
%------------------------------------------------------------------------------