TSTP Solution File: SEU305+2 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SEU305+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.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 08:48:41 EDT 2022
% Result : Theorem 96.98s 54.91s
% Output : Proof 136.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU305+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jun 20 12:25:46 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.46/0.61 ____ _
% 0.46/0.61 ___ / __ \_____(_)___ ________ __________
% 0.46/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.46/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.46/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.46/0.61
% 0.46/0.61 A Theorem Prover for First-Order Logic
% 0.46/0.62 (ePrincess v.1.0)
% 0.46/0.62
% 0.46/0.62 (c) Philipp Rümmer, 2009-2015
% 0.46/0.62 (c) Peter Backeman, 2014-2015
% 0.46/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.46/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.46/0.62 Bug reports to peter@backeman.se
% 0.46/0.62
% 0.46/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.46/0.62
% 0.46/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.66/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.61/1.41 Prover 0: Preprocessing ...
% 9.87/2.79 Prover 0: Warning: ignoring some quantifiers
% 10.34/2.86 Prover 0: Constructing countermodel ...
% 23.10/5.99 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 24.17/6.31 Prover 1: Preprocessing ...
% 26.89/6.97 Prover 1: Warning: ignoring some quantifiers
% 26.89/7.00 Prover 1: Constructing countermodel ...
% 33.69/8.58 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 34.90/8.86 Prover 2: Preprocessing ...
% 43.45/10.89 Prover 2: Warning: ignoring some quantifiers
% 43.62/10.99 Prover 2: Constructing countermodel ...
% 51.48/14.21 Prover 0: stopped
% 51.73/14.41 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 52.67/14.63 Prover 3: Preprocessing ...
% 53.72/14.94 Prover 3: Warning: ignoring some quantifiers
% 53.72/14.96 Prover 3: Constructing countermodel ...
% 96.80/54.81 Prover 3: stopped
% 96.98/54.91 Prover 1: proved (3097ms)
% 96.98/54.91 Prover 2: stopped
% 96.98/54.91
% 96.98/54.91 No countermodel exists, formula is valid
% 96.98/54.91 % SZS status Theorem for theBenchmark
% 96.98/54.91
% 96.98/54.91 Generating proof ... Warning: ignoring some quantifiers
% 133.27/73.56 found it (size 275)
% 133.27/73.56
% 133.27/73.56 % SZS output start Proof for theBenchmark
% 133.27/73.56 Assumed formulas after preprocessing and simplification:
% 133.27/73.56 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ( ~ (v48 = 0) & ~ (v46 = 0) & ~ (v36 = 0) & ~ (v34 = 0) & ~ (v31 = 0) & ~ (v28 = 0) & ~ (v7 = v6) & ~ (v4 = 0) & ~ (v0 = 0) & relation_empty_yielding(v29) = 0 & relation_empty_yielding(v26) = 0 & relation_empty_yielding(empty_set) = 0 & one_sorted_str(v51) = 0 & one_sorted_str(v27) = 0 & latt_str(v49) = 0 & being_limit_ordinal(v42) = 0 & being_limit_ordinal(omega) = 0 & below(v3, v7, v6) = 0 & below(v3, v6, v7) = 0 & singleton(empty_set) = v1 & relation_rng(empty_set) = empty_set & relation_dom(empty_set) = empty_set & meet_semilatt_str(v52) = 0 & the_carrier(v3) = v5 & empty_carrier(v27) = v28 & empty_carrier(v3) = v4 & join_commutative(v3) = 0 & join_semilatt_str(v50) = 0 & join_semilatt_str(v3) = 0 & one_to_one(v41) = 0 & one_to_one(v37) = 0 & one_to_one(v32) = 0 & one_to_one(empty_set) = 0 & natural(v47) = 0 & powerset(v1) = v2 & powerset(empty_set) = v1 & relation(v44) = 0 & relation(v41) = 0 & relation(v40) = 0 & relation(v38) = 0 & relation(v37) = 0 & relation(v35) = 0 & relation(v32) = 0 & relation(v29) = 0 & relation(v26) = 0 & relation(empty_set) = 0 & function(v44) = 0 & function(v41) = 0 & function(v38) = 0 & function(v37) = 0 & function(v32) = 0 & function(v26) = 0 & function(empty_set) = 0 & finite(v45) = 0 & empty(v47) = v48 & empty(v45) = v46 & empty(v41) = 0 & empty(v40) = 0 & empty(v39) = 0 & empty(v38) = 0 & empty(v37) = 0 & empty(v35) = v36 & empty(v33) = v34 & empty(v30) = v31 & empty(empty_set) = 0 & empty(omega) = v0 & epsilon_connected(v47) = 0 & epsilon_connected(v43) = 0 & epsilon_connected(v42) = 0 & epsilon_connected(v37) = 0 & epsilon_connected(v30) = 0 & epsilon_connected(empty_set) = 0 & epsilon_connected(omega) = 0 & element(v7, v5) = 0 & element(v6, v5) = 0 & epsilon_transitive(v47) = 0 & epsilon_transitive(v43) = 0 & epsilon_transitive(v42) = 0 & epsilon_transitive(v37) = 0 & epsilon_transitive(v30) = 0 & epsilon_transitive(empty_set) = 0 & epsilon_transitive(omega) = 0 & ordinal(v47) = 0 & ordinal(v43) = 0 & ordinal(v42) = 0 & ordinal(v37) = 0 & ordinal(v30) = 0 & ordinal(empty_set) = 0 & ordinal(omega) = 0 & in(empty_set, omega) = 0 & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : (v59 = 0 | ~ (relation_composition(v53, v54) = v55) | ~ (ordered_pair(v56, v60) = v61) | ~ (ordered_pair(v56, v57) = v58) | ~ (relation(v55) = 0) | ~ (relation(v53) = 0) | ~ (in(v61, v53) = 0) | ~ (in(v58, v55) = v59) | ? [v62] : ? [v63] : (( ~ (v63 = 0) & ordered_pair(v60, v57) = v62 & in(v62, v54) = v63) | ( ~ (v62 = 0) & relation(v54) = v62))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : (v60 = 0 | ~ (is_transitive_in(v53, v54) = 0) | ~ (ordered_pair(v55, v57) = v59) | ~ (ordered_pair(v55, v56) = v58) | ~ (relation(v53) = 0) | ~ (in(v59, v53) = v60) | ~ (in(v58, v53) = 0) | ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : (ordered_pair(v56, v57) = v64 & in(v64, v53) = v65 & in(v57, v54) = v63 & in(v56, v54) = v62 & in(v55, v54) = v61 & ( ~ (v65 = 0) | ~ (v63 = 0) | ~ (v62 = 0) | ~ (v61 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : (v54 = v53 | ~ (apply_binary_as_element(v60, v59, v58, v57, v56, v55) = v54) | ~ (apply_binary_as_element(v60, v59, v58, v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (apply_binary(v56, v57, v58) = v60) | ~ (relation_of2(v56, v59, v55) = 0) | ~ (cartesian_product2(v53, v54) = v59) | ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : (apply_binary_as_element(v53, v54, v55, v56, v57, v58) = v67 & quasi_total(v56, v59, v55) = v64 & function(v56) = v63 & empty(v54) = v62 & empty(v53) = v61 & element(v58, v54) = v66 & element(v57, v53) = v65 & ( ~ (v66 = 0) | ~ (v65 = 0) | ~ (v64 = 0) | ~ (v63 = 0) | v67 = v60 | v62 = 0 | v61 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (relation_composition(v58, v56) = v59) | ~ (identity_relation(v55) = v58) | ~ (ordered_pair(v53, v54) = v57) | ~ (in(v57, v59) = v60) | ? [v61] : ? [v62] : ? [v63] : (relation(v56) = v61 & in(v57, v56) = v63 & in(v53, v55) = v62 & ( ~ (v61 = 0) | (( ~ (v63 = 0) | ~ (v62 = 0) | v60 = 0) & ( ~ (v60 = 0) | (v63 = 0 & v62 = 0)))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v59 = 0 | v54 = empty_set | ~ (quasi_total(v56, v53, v54) = 0) | ~ (relation_rng(v56) = v58) | ~ (apply(v56, v55) = v57) | ~ (in(v57, v58) = v59) | ? [v60] : ? [v61] : ? [v62] : (relation_of2_as_subset(v56, v53, v54) = v61 & function(v56) = v60 & in(v55, v53) = v62 & ( ~ (v62 = 0) | ~ (v61 = 0) | ~ (v60 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v59 = 0 | v54 = empty_set | ~ (quasi_total(v56, v53, v54) = 0) | ~ (relation_inverse_image(v56, v55) = v57) | ~ (in(v58, v57) = v59) | ? [v60] : ? [v61] : ? [v62] : ((relation_of2_as_subset(v56, v53, v54) = v61 & function(v56) = v60 & ( ~ (v61 = 0) | ~ (v60 = 0))) | (apply(v56, v58) = v61 & in(v61, v55) = v62 & in(v58, v53) = v60 & ( ~ (v62 = 0) | ~ (v60 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v59 = 0 | ~ (relation_restriction(v55, v53) = v56) | ~ (fiber(v56, v54) = v57) | ~ (fiber(v55, v54) = v58) | ~ (subset(v57, v58) = v59) | ? [v60] : ( ~ (v60 = 0) & relation(v55) = v60)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v59 = 0 | ~ (relation_rng(v55) = v58) | ~ (relation_dom(v55) = v56) | ~ (subset(v58, v54) = v59) | ~ (subset(v56, v53) = v57) | ? [v60] : ( ~ (v60 = 0) & relation_of2_as_subset(v55, v53, v54) = v60)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v59 = 0 | ~ (relation_rng(v55) = v58) | ~ (relation_dom(v55) = v56) | ~ (in(v54, v58) = v59) | ~ (in(v53, v56) = v57) | ? [v60] : ? [v61] : ? [v62] : (ordered_pair(v53, v54) = v61 & relation(v55) = v60 & in(v61, v55) = v62 & ( ~ (v62 = 0) | ~ (v60 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v59 = 0 | ~ (transitive(v53) = 0) | ~ (ordered_pair(v54, v56) = v58) | ~ (ordered_pair(v54, v55) = v57) | ~ (in(v58, v53) = v59) | ~ (in(v57, v53) = 0) | ? [v60] : ? [v61] : (( ~ (v61 = 0) & ordered_pair(v55, v56) = v60 & in(v60, v53) = v61) | ( ~ (v60 = 0) & relation(v53) = v60))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v59 = 0 | ~ (subset(v57, v58) = v59) | ~ (cartesian_product2(v54, v56) = v58) | ~ (cartesian_product2(v53, v55) = v57) | ? [v60] : ? [v61] : (subset(v55, v56) = v61 & subset(v53, v54) = v60 & ( ~ (v61 = 0) | ~ (v60 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v59 = 0 | ~ (ordered_pair(v53, v54) = v57) | ~ (cartesian_product2(v55, v56) = v58) | ~ (in(v57, v58) = v59) | ? [v60] : ? [v61] : (in(v54, v56) = v61 & in(v53, v55) = v60 & ( ~ (v61 = 0) | ~ (v60 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v57 = 0 | ~ (relation_rng(v55) = v58) | ~ (relation_dom(v55) = v56) | ~ (subset(v58, v54) = v59) | ~ (subset(v56, v53) = v57) | ? [v60] : ( ~ (v60 = 0) & relation_of2_as_subset(v55, v53, v54) = v60)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v57 = 0 | ~ (relation_rng(v55) = v58) | ~ (relation_dom(v55) = v56) | ~ (in(v54, v58) = v59) | ~ (in(v53, v56) = v57) | ? [v60] : ? [v61] : ? [v62] : (ordered_pair(v53, v54) = v61 & relation(v55) = v60 & in(v61, v55) = v62 & ( ~ (v62 = 0) | ~ (v60 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v57 = 0 | ~ (relation_inverse_image(v53, v54) = v55) | ~ (ordered_pair(v56, v58) = v59) | ~ (relation(v53) = 0) | ~ (in(v59, v53) = 0) | ~ (in(v56, v55) = v57) | ? [v60] : ( ~ (v60 = 0) & in(v58, v54) = v60)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v57 = 0 | ~ (relation_image(v53, v54) = v55) | ~ (ordered_pair(v58, v56) = v59) | ~ (relation(v53) = 0) | ~ (in(v59, v53) = 0) | ~ (in(v56, v55) = v57) | ? [v60] : ( ~ (v60 = 0) & in(v58, v54) = v60)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v57 = 0 | ~ (ordered_pair(v58, v59) = v56) | ~ (cartesian_product2(v53, v54) = v55) | ~ (in(v56, v55) = v57) | ? [v60] : ? [v61] : (in(v59, v54) = v61 & in(v58, v53) = v60 & ( ~ (v61 = 0) | ~ (v60 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (inclusion_relation(v53) = v54) | ~ (relation_field(v54) = v55) | ~ (ordered_pair(v56, v57) = v58) | ~ (in(v58, v54) = v59) | ? [v60] : ? [v61] : ? [v62] : (( ~ (v60 = 0) & relation(v54) = v60) | (subset(v56, v57) = v62 & in(v57, v53) = v61 & in(v56, v53) = v60 & ( ~ (v61 = 0) | ~ (v60 = 0) | (( ~ (v62 = 0) | v59 = 0) & ( ~ (v59 = 0) | v62 = 0)))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (relation_of2(v56, v59, v55) = 0) | ~ (cartesian_product2(v53, v54) = v59) | ~ (element(v58, v54) = 0) | ~ (element(v57, v53) = 0) | ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : (apply_binary_as_element(v53, v54, v55, v56, v57, v58) = v64 & quasi_total(v56, v59, v55) = v63 & function(v56) = v62 & empty(v54) = v61 & empty(v53) = v60 & element(v64, v55) = v65 & ( ~ (v63 = 0) | ~ (v62 = 0) | v65 = 0 | v61 = 0 | v60 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (relation_rng_restriction(v53, v54) = v55) | ~ (ordered_pair(v56, v57) = v58) | ~ (relation(v55) = 0) | ~ (in(v58, v54) = v59) | ? [v60] : ? [v61] : (( ~ (v60 = 0) & relation(v54) = v60) | (in(v58, v55) = v60 & in(v57, v53) = v61 & ( ~ (v60 = 0) | (v61 = 0 & v59 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (relation_dom_restriction(v53, v54) = v55) | ~ (ordered_pair(v56, v57) = v58) | ~ (relation(v55) = 0) | ~ (relation(v53) = 0) | ~ (in(v58, v53) = v59) | ? [v60] : ? [v61] : (in(v58, v55) = v60 & in(v56, v54) = v61 & ( ~ (v60 = 0) | (v61 = 0 & v59 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | v56 = v55 | ~ (is_connected_in(v53, v54) = 0) | ~ (ordered_pair(v55, v56) = v57) | ~ (relation(v53) = 0) | ~ (in(v57, v53) = v58) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : (ordered_pair(v56, v55) = v61 & in(v61, v53) = v62 & in(v56, v54) = v60 & in(v55, v54) = v59 & ( ~ (v60 = 0) | ~ (v59 = 0) | v62 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (subset_difference(v53, v54, v55) = v57) | ~ (powerset(v53) = v56) | ~ (element(v57, v56) = v58) | ? [v59] : ? [v60] : (element(v55, v56) = v60 & element(v54, v56) = v59 & ( ~ (v60 = 0) | ~ (v59 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (relation_rng_as_subset(v53, v54, v55) = v56) | ~ (powerset(v54) = v57) | ~ (element(v56, v57) = v58) | ? [v59] : ( ~ (v59 = 0) & relation_of2(v55, v53, v54) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (complements_of_subsets(v53, v54) = v57) | ~ (powerset(v55) = v56) | ~ (powerset(v53) = v55) | ~ (element(v57, v56) = v58) | ? [v59] : ( ~ (v59 = 0) & element(v54, v56) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (relation_composition(v53, v55) = v56) | ~ (relation_dom(v56) = v57) | ~ (relation_dom(v53) = v54) | ~ (subset(v57, v54) = v58) | ? [v59] : (( ~ (v59 = 0) & relation(v55) = v59) | ( ~ (v59 = 0) & relation(v53) = v59))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (relation_composition(v53, v54) = v55) | ~ (relation_rng(v55) = v56) | ~ (relation_rng(v54) = v57) | ~ (subset(v56, v57) = v58) | ~ (relation(v53) = 0) | ? [v59] : ( ~ (v59 = 0) & relation(v54) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (relation_inverse(v53) = v54) | ~ (ordered_pair(v55, v56) = v57) | ~ (relation(v54) = 0) | ~ (in(v57, v54) = v58) | ? [v59] : ? [v60] : (( ~ (v60 = 0) & ordered_pair(v56, v55) = v59 & in(v59, v53) = v60) | ( ~ (v59 = 0) & relation(v53) = v59))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (set_difference(v54, v56) = v57) | ~ (singleton(v55) = v56) | ~ (subset(v53, v57) = v58) | ? [v59] : ? [v60] : (subset(v53, v54) = v59 & in(v55, v53) = v60 & ( ~ (v59 = 0) | v60 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (set_difference(v54, v55) = v57) | ~ (set_difference(v53, v55) = v56) | ~ (subset(v56, v57) = v58) | ? [v59] : ( ~ (v59 = 0) & subset(v53, v54) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (meet(v53, v54, v55) = v57) | ~ (the_carrier(v53) = v56) | ~ (element(v57, v56) = v58) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : (meet_semilatt_str(v53) = v60 & empty_carrier(v53) = v59 & element(v55, v56) = v62 & element(v54, v56) = v61 & ( ~ (v62 = 0) | ~ (v61 = 0) | ~ (v60 = 0) | v59 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (fiber(v53, v54) = v55) | ~ (ordered_pair(v56, v54) = v57) | ~ (relation(v53) = 0) | ~ (in(v57, v53) = v58) | ? [v59] : ( ~ (v59 = 0) & in(v56, v55) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (join(v53, v54, v55) = v57) | ~ (the_carrier(v53) = v56) | ~ (element(v57, v56) = v58) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : (empty_carrier(v53) = v59 & join_semilatt_str(v53) = v60 & element(v55, v56) = v62 & element(v54, v56) = v61 & ( ~ (v62 = 0) | ~ (v61 = 0) | ~ (v60 = 0) | v59 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (relation_dom_as_subset(v53, v54, v55) = v56) | ~ (powerset(v53) = v57) | ~ (element(v56, v57) = v58) | ? [v59] : ( ~ (v59 = 0) & relation_of2(v55, v53, v54) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (relation_rng(v55) = v56) | ~ (relation_rng(v54) = v57) | ~ (relation_rng_restriction(v53, v54) = v55) | ~ (subset(v56, v57) = v58) | ? [v59] : ( ~ (v59 = 0) & relation(v54) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (relation_rng(v55) = v56) | ~ (relation_rng(v54) = v57) | ~ (relation_dom_restriction(v54, v53) = v55) | ~ (subset(v56, v57) = v58) | ? [v59] : ( ~ (v59 = 0) & relation(v54) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (relation_inverse_image(v55, v54) = v57) | ~ (relation_inverse_image(v55, v53) = v56) | ~ (subset(v56, v57) = v58) | ? [v59] : ? [v60] : (subset(v53, v54) = v60 & relation(v55) = v59 & ( ~ (v60 = 0) | ~ (v59 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (relation_field(v55) = v56) | ~ (in(v54, v56) = v58) | ~ (in(v53, v56) = v57) | ? [v59] : ? [v60] : ? [v61] : (ordered_pair(v53, v54) = v60 & relation(v55) = v59 & in(v60, v55) = v61 & ( ~ (v61 = 0) | ~ (v59 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (relation_rng_restriction(v53, v54) = v55) | ~ (relation_dom(v55) = v56) | ~ (relation_dom(v54) = v57) | ~ (subset(v56, v57) = v58) | ? [v59] : ( ~ (v59 = 0) & relation(v54) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (subset(v56, v57) = v58) | ~ (set_intersection2(v54, v55) = v57) | ~ (set_intersection2(v53, v55) = v56) | ? [v59] : ( ~ (v59 = 0) & subset(v53, v54) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (meet_commut(v53, v54, v55) = v57) | ~ (the_carrier(v53) = v56) | ~ (element(v57, v56) = v58) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : (meet_commutative(v53) = v60 & meet_semilatt_str(v53) = v61 & empty_carrier(v53) = v59 & element(v55, v56) = v63 & element(v54, v56) = v62 & ( ~ (v63 = 0) | ~ (v62 = 0) | ~ (v61 = 0) | ~ (v60 = 0) | v59 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (the_carrier(v53) = v56) | ~ (join_commut(v53, v54, v55) = v57) | ~ (element(v57, v56) = v58) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : (empty_carrier(v53) = v59 & join_commutative(v53) = v60 & join_semilatt_str(v53) = v61 & element(v55, v56) = v63 & element(v54, v56) = v62 & ( ~ (v63 = 0) | ~ (v62 = 0) | ~ (v61 = 0) | ~ (v60 = 0) | v59 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (cartesian_product2(v53, v54) = v56) | ~ (powerset(v56) = v57) | ~ (element(v55, v57) = v58) | ? [v59] : ( ~ (v59 = 0) & relation_of2_as_subset(v55, v53, v54) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v57 = 0 | ~ (relation_field(v55) = v56) | ~ (in(v54, v56) = v58) | ~ (in(v53, v56) = v57) | ? [v59] : ? [v60] : ? [v61] : (ordered_pair(v53, v54) = v60 & relation(v55) = v59 & in(v60, v55) = v61 & ( ~ (v61 = 0) | ~ (v59 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v56 = v55 | ~ (ordered_pair(v54, v56) = v58) | ~ (ordered_pair(v54, v55) = v57) | ~ (function(v53) = 0) | ~ (in(v58, v53) = 0) | ~ (in(v57, v53) = 0)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v56 = v54 | ~ (pair_second(v53) = v54) | ~ (ordered_pair(v57, v58) = v53) | ~ (ordered_pair(v55, v56) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v56 = 0 | ~ (relation_rng(v53) = v54) | ~ (ordered_pair(v57, v55) = v58) | ~ (in(v58, v53) = 0) | ~ (in(v55, v54) = v56) | ? [v59] : ( ~ (v59 = 0) & relation(v53) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v56 = 0 | ~ (relation_dom(v53) = v54) | ~ (ordered_pair(v55, v57) = v58) | ~ (in(v58, v53) = 0) | ~ (in(v55, v54) = v56) | ? [v59] : ( ~ (v59 = 0) & relation(v53) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v55 = v54 | ~ (pair_first(v53) = v54) | ~ (ordered_pair(v57, v58) = v53) | ~ (ordered_pair(v55, v56) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v54 = empty_set | ~ (quasi_total(v56, v53, v54) = 0) | ~ (relation_inverse_image(v56, v55) = v57) | ~ (in(v58, v57) = 0) | ? [v59] : ? [v60] : ? [v61] : ((v61 = 0 & v59 = 0 & apply(v56, v58) = v60 & in(v60, v55) = 0 & in(v58, v53) = 0) | (relation_of2_as_subset(v56, v53, v54) = v60 & function(v56) = v59 & ( ~ (v60 = 0) | ~ (v59 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (relation_composition(v53, v54) = v55) | ~ (ordered_pair(v56, v57) = v58) | ~ (relation(v55) = 0) | ~ (relation(v53) = 0) | ~ (in(v58, v55) = 0) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ((v63 = 0 & v61 = 0 & ordered_pair(v59, v57) = v62 & ordered_pair(v56, v59) = v60 & in(v62, v54) = 0 & in(v60, v53) = 0) | ( ~ (v59 = 0) & relation(v54) = v59))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (relation_isomorphism(v53, v55, v57) = v58) | ~ (relation_field(v55) = v56) | ~ (relation_field(v53) = v54) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : ? [v68] : ? [v69] : ? [v70] : ? [v71] : ? [v72] : ? [v73] : (( ~ (v59 = 0) & relation(v55) = v59) | ( ~ (v59 = 0) & relation(v53) = v59) | (relation_rng(v57) = v62 & relation_dom(v57) = v61 & one_to_one(v57) = v63 & relation(v57) = v59 & function(v57) = v60 & ( ~ (v60 = 0) | ~ (v59 = 0) | (( ~ (v63 = 0) | ~ (v62 = v56) | ~ (v61 = v54) | v58 = 0 | (apply(v57, v65) = v71 & apply(v57, v64) = v70 & ordered_pair(v70, v71) = v72 & ordered_pair(v64, v65) = v66 & in(v72, v55) = v73 & in(v66, v53) = v67 & in(v65, v54) = v69 & in(v64, v54) = v68 & ( ~ (v73 = 0) | ~ (v69 = 0) | ~ (v68 = 0) | ~ (v67 = 0)) & (v67 = 0 | (v73 = 0 & v69 = 0 & v68 = 0)))) & ( ~ (v58 = 0) | (v63 = 0 & v62 = v56 & v61 = v54 & ! [v74] : ! [v75] : ! [v76] : ! [v77] : ! [v78] : ! [v79] : ( ~ (apply(v57, v75) = v77) | ~ (apply(v57, v74) = v76) | ~ (ordered_pair(v76, v77) = v78) | ~ (in(v78, v55) = v79) | ? [v80] : ? [v81] : ? [v82] : ? [v83] : (ordered_pair(v74, v75) = v80 & in(v80, v53) = v81 & in(v75, v54) = v83 & in(v74, v54) = v82 & ( ~ (v81 = 0) | (v83 = 0 & v82 = 0 & v79 = 0)))) & ! [v74] : ! [v75] : ! [v76] : ! [v77] : ! [v78] : ( ~ (apply(v57, v75) = v77) | ~ (apply(v57, v74) = v76) | ~ (ordered_pair(v76, v77) = v78) | ~ (in(v78, v55) = 0) | ? [v79] : ? [v80] : ? [v81] : ? [v82] : (ordered_pair(v74, v75) = v81 & in(v81, v53) = v82 & in(v75, v54) = v80 & in(v74, v54) = v79 & ( ~ (v80 = 0) | ~ (v79 = 0) | v82 = 0)))))))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (relation_restriction(v54, v53) = v55) | ~ (relation_field(v55) = v56) | ~ (relation_field(v54) = v57) | ~ (subset(v56, v57) = v58) | ? [v59] : ? [v60] : (subset(v56, v53) = v60 & relation(v54) = v59 & ( ~ (v59 = 0) | (v60 = 0 & v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (subset_complement(v53, v56) = v57) | ~ (subset(v54, v57) = v58) | ~ (powerset(v53) = v55) | ~ (element(v54, v55) = 0) | ? [v59] : ? [v60] : (disjoint(v54, v56) = v60 & element(v56, v55) = v59 & ( ~ (v59 = 0) | (( ~ (v60 = 0) | v58 = 0) & ( ~ (v58 = 0) | v60 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (relation_rng(v56) = v57) | ~ (relation_rng_restriction(v54, v55) = v56) | ~ (in(v53, v57) = v58) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : (relation_rng(v55) = v61 & relation(v55) = v59 & in(v53, v61) = v62 & in(v53, v54) = v60 & ( ~ (v59 = 0) | (( ~ (v62 = 0) | ~ (v60 = 0) | v58 = 0) & ( ~ (v58 = 0) | (v62 = 0 & v60 = 0)))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (relation_rng_restriction(v53, v54) = v55) | ~ (ordered_pair(v56, v57) = v58) | ~ (relation(v55) = 0) | ~ (in(v58, v54) = 0) | ? [v59] : ? [v60] : (( ~ (v59 = 0) & relation(v54) = v59) | (in(v58, v55) = v60 & in(v57, v53) = v59 & ( ~ (v59 = 0) | v60 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (relation_dom(v56) = v57) | ~ (relation_dom_restriction(v55, v54) = v56) | ~ (in(v53, v57) = v58) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : (relation_dom(v55) = v61 & relation(v55) = v59 & in(v53, v61) = v62 & in(v53, v54) = v60 & ( ~ (v59 = 0) | (( ~ (v62 = 0) | ~ (v60 = 0) | v58 = 0) & ( ~ (v58 = 0) | (v62 = 0 & v60 = 0)))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (relation_dom(v56) = v57) | ~ (relation_dom_restriction(v55, v53) = v56) | ~ (in(v54, v57) = v58) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : (relation_dom(v55) = v61 & relation(v55) = v59 & function(v55) = v60 & in(v54, v61) = v62 & in(v54, v53) = v63 & ( ~ (v60 = 0) | ~ (v59 = 0) | (( ~ (v63 = 0) | ~ (v62 = 0) | v58 = 0) & ( ~ (v58 = 0) | (v63 = 0 & v62 = 0)))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (relation_dom_restriction(v53, v54) = v55) | ~ (ordered_pair(v56, v57) = v58) | ~ (relation(v55) = 0) | ~ (relation(v53) = 0) | ~ (in(v58, v53) = 0) | ? [v59] : ? [v60] : (in(v58, v55) = v60 & in(v56, v54) = v59 & ( ~ (v59 = 0) | v60 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (subset(v56, v57) = v58) | ~ (cartesian_product2(v54, v55) = v57) | ~ (cartesian_product2(v53, v55) = v56) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : (subset(v60, v61) = v62 & subset(v53, v54) = v59 & cartesian_product2(v55, v54) = v61 & cartesian_product2(v55, v53) = v60 & ( ~ (v59 = 0) | (v62 = 0 & v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (ordered_pair(v53, v54) = v57) | ~ (cartesian_product2(v55, v56) = v58) | ~ (in(v57, v58) = 0) | (in(v54, v56) = 0 & in(v53, v55) = 0)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v55 | v57 = v54 | v57 = v53 | ~ (unordered_triple(v53, v54, v55) = v56) | ~ (in(v57, v56) = 0)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | v53 = empty_set | ~ (set_meet(v53) = v54) | ~ (in(v55, v56) = v57) | ~ (in(v55, v54) = 0) | ? [v58] : ( ~ (v58 = 0) & in(v56, v53) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (meet_of_subsets(v53, v54) = v56) | ~ (powerset(v53) = v55) | ~ (element(v56, v55) = v57) | ? [v58] : ? [v59] : ( ~ (v59 = 0) & powerset(v55) = v58 & element(v54, v58) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (union_of_subsets(v53, v54) = v56) | ~ (powerset(v53) = v55) | ~ (element(v56, v55) = v57) | ? [v58] : ? [v59] : ( ~ (v59 = 0) & powerset(v55) = v58 & element(v54, v58) = v59)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (function_inverse(v55) = v56) | ~ (relation_isomorphism(v54, v53, v56) = v57) | ~ (relation(v54) = 0) | ~ (relation(v53) = 0) | ? [v58] : ? [v59] : ? [v60] : (relation_isomorphism(v53, v54, v55) = v60 & relation(v55) = v58 & function(v55) = v59 & ( ~ (v60 = 0) | ~ (v59 = 0) | ~ (v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (subset_complement(v53, v54) = v56) | ~ (powerset(v53) = v55) | ~ (element(v56, v55) = v57) | ? [v58] : ( ~ (v58 = 0) & element(v54, v55) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (is_reflexive_in(v53, v54) = 0) | ~ (ordered_pair(v55, v55) = v56) | ~ (relation(v53) = 0) | ~ (in(v56, v53) = v57) | ? [v58] : ( ~ (v58 = 0) & in(v55, v54) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (relation_of2_as_subset(v56, v55, v54) = v57) | ~ (relation_of2_as_subset(v56, v55, v53) = 0) | ? [v58] : ( ~ (v58 = 0) & subset(v53, v54) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (relation_rng(v55) = v56) | ~ (relation_rng_restriction(v53, v54) = v55) | ~ (subset(v56, v53) = v57) | ? [v58] : ( ~ (v58 = 0) & relation(v54) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (relation_rng(v54) = v56) | ~ (relation_image(v54, v53) = v55) | ~ (subset(v55, v56) = v57) | ? [v58] : ( ~ (v58 = 0) & relation(v54) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (relation_rng(v53) = v55) | ~ (relation_dom(v53) = v54) | ~ (subset(v53, v56) = v57) | ~ (cartesian_product2(v54, v55) = v56) | ? [v58] : ( ~ (v58 = 0) & relation(v53) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (unordered_triple(v53, v54, v55) = v56) | ~ (in(v55, v56) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (unordered_triple(v53, v54, v55) = v56) | ~ (in(v54, v56) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (unordered_triple(v53, v54, v55) = v56) | ~ (in(v53, v56) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (relation_inverse_image(v54, v55) = v56) | ~ (relation_image(v54, v53) = v55) | ~ (subset(v53, v56) = v57) | ? [v58] : ? [v59] : ? [v60] : (relation_dom(v54) = v59 & subset(v53, v59) = v60 & relation(v54) = v58 & ( ~ (v60 = 0) | ~ (v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (relation_inverse_image(v54, v53) = v55) | ~ (relation_dom(v54) = v56) | ~ (subset(v55, v56) = v57) | ? [v58] : ( ~ (v58 = 0) & relation(v54) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (relation_inverse_image(v54, v53) = v55) | ~ (relation_image(v54, v55) = v56) | ~ (subset(v56, v53) = v57) | ? [v58] : ? [v59] : (relation(v54) = v58 & function(v54) = v59 & ( ~ (v59 = 0) | ~ (v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (subset(v56, v55) = v57) | ~ (unordered_pair(v53, v54) = v56) | ? [v58] : ? [v59] : (in(v54, v55) = v59 & in(v53, v55) = v58 & ( ~ (v59 = 0) | ~ (v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (subset(v56, v54) = v57) | ~ (set_union2(v53, v55) = v56) | ? [v58] : ? [v59] : (subset(v55, v54) = v59 & subset(v53, v54) = v58 & ( ~ (v59 = 0) | ~ (v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (subset(v55, v56) = v57) | ~ (cartesian_product2(v53, v54) = v56) | ? [v58] : ( ~ (v58 = 0) & relation_of2(v55, v53, v54) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (subset(v53, v56) = v57) | ~ (set_intersection2(v54, v55) = v56) | ? [v58] : ? [v59] : (subset(v53, v55) = v59 & subset(v53, v54) = v58 & ( ~ (v59 = 0) | ~ (v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (identity_relation(v53) = v54) | ~ (ordered_pair(v55, v55) = v56) | ~ (relation(v54) = 0) | ~ (in(v56, v54) = v57) | ? [v58] : ( ~ (v58 = 0) & in(v55, v53) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (set_union2(v53, v54) = v55) | ~ (in(v56, v53) = v57) | ? [v58] : ? [v59] : (in(v56, v55) = v58 & in(v56, v54) = v59 & ( ~ (v58 = 0) | v59 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (powerset(v55) = v56) | ~ (element(v54, v56) = 0) | ~ (element(v53, v55) = v57) | ? [v58] : ( ~ (v58 = 0) & in(v53, v54) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (powerset(v53) = v55) | ~ (element(v54, v55) = 0) | ~ (in(v56, v53) = v57) | ? [v58] : ( ~ (v58 = 0) & in(v56, v54) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v56 = v55 | ~ (is_antisymmetric_in(v53, v54) = 0) | ~ (ordered_pair(v55, v56) = v57) | ~ (relation(v53) = 0) | ~ (in(v57, v53) = 0) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : (ordered_pair(v56, v55) = v60 & in(v60, v53) = v61 & in(v56, v54) = v59 & in(v55, v54) = v58 & ( ~ (v61 = 0) | ~ (v59 = 0) | ~ (v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v56 = v55 | ~ (identity_relation(v53) = v54) | ~ (ordered_pair(v55, v56) = v57) | ~ (relation(v54) = 0) | ~ (in(v57, v54) = 0)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v56 = v54 | ~ (fiber(v53, v54) = v55) | ~ (ordered_pair(v56, v54) = v57) | ~ (relation(v53) = 0) | ~ (in(v57, v53) = 0) | in(v56, v55) = 0) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v56 = v54 | ~ (ordered_pair(v55, v56) = v57) | ~ (ordered_pair(v53, v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v56 = v53 | v55 = v53 | ~ (unordered_pair(v55, v56) = v57) | ~ (unordered_pair(v53, v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v56 = 0 | ~ (union(v53) = v54) | ~ (in(v55, v57) = 0) | ~ (in(v55, v54) = v56) | ? [v58] : ( ~ (v58 = 0) & in(v57, v53) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v55 = v53 | ~ (ordered_pair(v55, v56) = v57) | ~ (ordered_pair(v53, v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v55 = 0 | ~ (cartesian_product2(v53, v56) = v57) | ~ (relation(v54) = 0) | ~ (empty(v53) = v55) | ? [v58] : ( ! [v59] : ! [v60] : ! [v61] : ! [v62] : (v60 = 0 | ~ (ordered_pair(v61, v62) = v59) | ~ (in(v62, v61) = 0) | ~ (in(v59, v58) = v60) | ~ (in(v59, v57) = 0) | ? [v63] : ? [v64] : ? [v65] : ? [v66] : ((v64 = 0 & ~ (v66 = 0) & ordered_pair(v62, v63) = v65 & in(v65, v54) = v66 & in(v63, v61) = 0) | ( ~ (v63 = 0) & in(v61, v53) = v63))) & ! [v59] : ( ~ (in(v59, v58) = 0) | ? [v60] : ? [v61] : (ordered_pair(v60, v61) = v59 & in(v61, v60) = 0 & in(v60, v53) = 0 & in(v59, v57) = 0 & ! [v62] : ! [v63] : ! [v64] : (v64 = 0 | ~ (ordered_pair(v61, v62) = v63) | ~ (in(v63, v54) = v64) | ? [v65] : ( ~ (v65 = 0) & in(v62, v60) = v65)))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v55 = 0 | ~ (cartesian_product2(v53, v56) = v57) | ~ (relation(v54) = 0) | ~ (empty(v53) = v55) | ? [v58] : ( ! [v59] : ! [v60] : ! [v61] : ( ~ (ordered_pair(v60, v61) = v59) | ~ (in(v61, v60) = 0) | ~ (in(v59, v57) = 0) | ? [v62] : ? [v63] : ? [v64] : ? [v65] : ((v63 = 0 & ~ (v65 = 0) & ordered_pair(v61, v62) = v64 & in(v64, v54) = v65 & in(v62, v60) = 0) | (v62 = 0 & in(v59, v58) = 0) | ( ~ (v62 = 0) & in(v60, v53) = v62))) & ! [v59] : ! [v60] : (v60 = 0 | ~ (in(v59, v57) = v60) | ? [v61] : ( ~ (v61 = 0) & in(v59, v58) = v61)) & ! [v59] : ! [v60] : ( ~ (in(v59, v57) = v60) | ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ((v66 = 0 & v65 = v61 & v64 = 0 & v63 = v59 & ordered_pair(v61, v62) = v59 & in(v62, v61) = 0 & in(v61, v53) = 0 & ! [v67] : ! [v68] : ! [v69] : (v69 = 0 | ~ (ordered_pair(v62, v67) = v68) | ~ (in(v68, v54) = v69) | ? [v70] : ( ~ (v70 = 0) & in(v67, v61) = v70))) | ( ~ (v61 = 0) & in(v59, v58) = v61))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (apply_binary(v57, v56, v55) = v54) | ~ (apply_binary(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (subset_difference(v57, v56, v55) = v54) | ~ (subset_difference(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (relation_rng_as_subset(v57, v56, v55) = v54) | ~ (relation_rng_as_subset(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (relation_isomorphism(v57, v56, v55) = v54) | ~ (relation_isomorphism(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (below(v57, v56, v55) = v54) | ~ (below(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (meet(v57, v56, v55) = v54) | ~ (meet(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (relation_of2(v57, v56, v55) = v54) | ~ (relation_of2(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (join(v57, v56, v55) = v54) | ~ (join(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (relation_dom_as_subset(v57, v56, v55) = v54) | ~ (relation_dom_as_subset(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (relation_of2_as_subset(v57, v56, v55) = v54) | ~ (relation_of2_as_subset(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (quasi_total(v57, v56, v55) = v54) | ~ (quasi_total(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (unordered_triple(v57, v56, v55) = v54) | ~ (unordered_triple(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (meet_commut(v57, v56, v55) = v54) | ~ (meet_commut(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v53 | ~ (join_commut(v57, v56, v55) = v54) | ~ (join_commut(v57, v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = empty_set | ~ (subset_difference(v53, v55, v56) = v57) | ~ (meet_of_subsets(v53, v54) = v56) | ~ (cast_to_subset(v53) = v55) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : (union_of_subsets(v53, v61) = v62 & complements_of_subsets(v53, v54) = v61 & powerset(v58) = v59 & powerset(v53) = v58 & element(v54, v59) = v60 & ( ~ (v60 = 0) | v62 = v57))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = empty_set | ~ (subset_difference(v53, v55, v56) = v57) | ~ (union_of_subsets(v53, v54) = v56) | ~ (cast_to_subset(v53) = v55) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : (meet_of_subsets(v53, v61) = v62 & complements_of_subsets(v53, v54) = v61 & powerset(v58) = v59 & powerset(v53) = v58 & element(v54, v59) = v60 & ( ~ (v60 = 0) | v62 = v57))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = empty_set | ~ (quasi_total(v56, v53, v55) = v57) | ~ (quasi_total(v56, v53, v54) = 0) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : (relation_of2_as_subset(v56, v53, v55) = v61 & relation_of2_as_subset(v56, v53, v54) = v59 & subset(v54, v55) = v60 & function(v56) = v58 & ( ~ (v60 = 0) | ~ (v59 = 0) | ~ (v58 = 0) | (v61 = 0 & v57 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (function_inverse(v54) = v55) | ~ (relation_composition(v55, v54) = v56) | ~ (apply(v56, v53) = v57) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : (relation_rng(v54) = v61 & apply(v55, v53) = v63 & apply(v54, v63) = v64 & one_to_one(v54) = v60 & relation(v54) = v58 & function(v54) = v59 & in(v53, v61) = v62 & ( ~ (v62 = 0) | ~ (v60 = 0) | ~ (v59 = 0) | ~ (v58 = 0) | (v64 = v53 & v57 = v53)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (relation_composition(v55, v54) = v56) | ~ (relation_dom(v56) = v57) | ~ (function(v54) = 0) | ~ (in(v53, v57) = 0) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : (( ~ (v58 = 0) & relation(v54) = v58) | (apply(v56, v53) = v60 & apply(v55, v53) = v61 & apply(v54, v61) = v62 & relation(v55) = v58 & function(v55) = v59 & ( ~ (v59 = 0) | ~ (v58 = 0) | v62 = v60)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (relation_inverse(v53) = v54) | ~ (ordered_pair(v55, v56) = v57) | ~ (relation(v54) = 0) | ~ (in(v57, v54) = 0) | ? [v58] : ? [v59] : ((v59 = 0 & ordered_pair(v56, v55) = v58 & in(v58, v53) = 0) | ( ~ (v58 = 0) & relation(v53) = v58))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (relation_restriction(v55, v54) = v56) | ~ (relation_field(v56) = v57) | ~ (in(v53, v57) = 0) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : (relation_field(v55) = v59 & relation(v55) = v58 & in(v53, v59) = v60 & in(v53, v54) = v61 & ( ~ (v58 = 0) | (v61 = 0 & v60 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (relation_restriction(v55, v54) = v56) | ~ (in(v53, v56) = v57) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : (cartesian_product2(v54, v54) = v60 & relation(v55) = v58 & in(v53, v60) = v61 & in(v53, v55) = v59 & ( ~ (v58 = 0) | (( ~ (v61 = 0) | ~ (v59 = 0) | v57 = 0) & ( ~ (v57 = 0) | (v61 = 0 & v59 = 0)))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (set_difference(v53, v54) = v55) | ~ (in(v56, v53) = v57) | ? [v58] : ? [v59] : (in(v56, v55) = v58 & in(v56, v54) = v59 & ( ~ (v58 = 0) | (v57 = 0 & ~ (v59 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (the_L_meet(v53) = v54) | ~ (quasi_total(v54, v56, v55) = v57) | ~ (the_carrier(v53) = v55) | ~ (cartesian_product2(v55, v55) = v56) | ? [v58] : ? [v59] : ? [v60] : (relation_of2_as_subset(v54, v56, v55) = v60 & meet_semilatt_str(v53) = v58 & function(v54) = v59 & ( ~ (v58 = 0) | (v60 = 0 & v59 = 0 & v57 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (fiber(v53, v54) = v55) | ~ (ordered_pair(v54, v54) = v56) | ~ (relation(v53) = 0) | ~ (in(v56, v53) = v57) | ? [v58] : ( ~ (v58 = 0) & in(v54, v55) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (singleton(v53) = v56) | ~ (unordered_pair(v55, v56) = v57) | ~ (unordered_pair(v53, v54) = v55) | ordered_pair(v53, v54) = v57) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (succ(v53) = v55) | ~ (powerset(v56) = v57) | ~ (powerset(v55) = v56) | ~ (element(v54, v57) = 0) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : (singleton(v53) = v60 & powerset(v53) = v59 & ordinal(v53) = v58 & ( ~ (v58 = 0) | ( ! [v62] : ! [v63] : (v63 = 0 | ~ (in(v62, v59) = v63) | ? [v64] : ( ~ (v64 = 0) & in(v62, v61) = v64)) & ! [v62] : ! [v63] : ( ~ (set_difference(v63, v60) = v62) | ~ (in(v62, v59) = 0) | ? [v64] : ((v64 = 0 & in(v62, v61) = 0) | ( ~ (v64 = 0) & in(v63, v54) = v64))) & ! [v62] : ! [v63] : ( ~ (in(v62, v59) = v63) | ? [v64] : ? [v65] : ? [v66] : ((v66 = v62 & v65 = 0 & set_difference(v64, v60) = v62 & in(v64, v54) = 0) | ( ~ (v64 = 0) & in(v62, v61) = v64))))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (succ(v53) = v55) | ~ (powerset(v56) = v57) | ~ (powerset(v55) = v56) | ~ (element(v54, v57) = 0) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : (singleton(v53) = v59 & powerset(v53) = v60 & ordinal(v53) = v58 & ( ~ (v58 = 0) | ( ! [v62] : ! [v63] : ! [v64] : (v63 = 0 | ~ (set_difference(v64, v59) = v62) | ~ (in(v62, v61) = v63) | ~ (in(v62, v60) = 0) | ? [v65] : ( ~ (v65 = 0) & in(v64, v54) = v65)) & ! [v62] : ( ~ (in(v62, v61) = 0) | ? [v63] : (set_difference(v63, v59) = v62 & in(v63, v54) = 0 & in(v62, v60) = 0)))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (the_L_join(v53) = v54) | ~ (quasi_total(v54, v56, v55) = v57) | ~ (the_carrier(v53) = v55) | ~ (cartesian_product2(v55, v55) = v56) | ? [v58] : ? [v59] : ? [v60] : (relation_of2_as_subset(v54, v56, v55) = v60 & join_semilatt_str(v53) = v58 & function(v54) = v59 & ( ~ (v58 = 0) | (v60 = 0 & v59 = 0 & v57 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (relation_of2_as_subset(v56, v55, v53) = 0) | ~ (relation_rng(v56) = v57) | ~ (subset(v57, v54) = 0) | relation_of2_as_subset(v56, v55, v54) = 0) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (quasi_total(v56, v53, v54) = 0) | ~ (apply(v56, v55) = v57) | ? [v58] : ? [v59] : ? [v60] : (relation_of2_as_subset(v56, v53, v54) = v59 & function(v56) = v58 & in(v55, v53) = v60 & ( ~ (v59 = 0) | ~ (v58 = 0) | ! [v61] : ! [v62] : ! [v63] : ( ~ (v60 = 0) | v54 = empty_set | ~ (relation_composition(v56, v61) = v62) | ~ (apply(v62, v55) = v63) | ? [v64] : ? [v65] : ? [v66] : (apply(v61, v57) = v66 & relation(v61) = v64 & function(v61) = v65 & ( ~ (v65 = 0) | ~ (v64 = 0) | v66 = v63)))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (relation_inverse_image(v55, v54) = v56) | ~ (in(v53, v56) = v57) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : (relation_rng(v55) = v59 & relation(v55) = v58 & ( ~ (v58 = 0) | (( ~ (v57 = 0) | (v64 = 0 & v63 = 0 & v61 = 0 & ordered_pair(v53, v60) = v62 & in(v62, v55) = 0 & in(v60, v59) = 0 & in(v60, v54) = 0)) & (v57 = 0 | ! [v65] : ( ~ (in(v65, v59) = 0) | ? [v66] : ? [v67] : ? [v68] : (ordered_pair(v53, v65) = v66 & in(v66, v55) = v67 & in(v65, v54) = v68 & ( ~ (v68 = 0) | ~ (v67 = 0))))))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (relation_rng_restriction(v53, v56) = v57) | ~ (relation_dom_restriction(v55, v54) = v56) | ? [v58] : ? [v59] : ? [v60] : (relation_rng_restriction(v53, v55) = v59 & relation_dom_restriction(v59, v54) = v60 & relation(v55) = v58 & ( ~ (v58 = 0) | v60 = v57))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (relation_dom(v56) = v57) | ~ (relation_dom_restriction(v55, v53) = v56) | ~ (in(v54, v57) = 0) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : (apply(v56, v54) = v60 & apply(v55, v54) = v61 & relation(v55) = v58 & function(v55) = v59 & ( ~ (v59 = 0) | ~ (v58 = 0) | v61 = v60))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (relation_dom(v54) = v55) | ~ (relation_image(v54, v56) = v57) | ~ (set_intersection2(v55, v53) = v56) | ? [v58] : ? [v59] : (relation_image(v54, v53) = v59 & relation(v54) = v58 & ( ~ (v58 = 0) | v59 = v57))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (relation_image(v55, v54) = v56) | ~ (in(v53, v56) = v57) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : (relation_dom(v55) = v59 & relation(v55) = v58 & ( ~ (v58 = 0) | (( ~ (v57 = 0) | (v64 = 0 & v63 = 0 & v61 = 0 & ordered_pair(v60, v53) = v62 & in(v62, v55) = 0 & in(v60, v59) = 0 & in(v60, v54) = 0)) & (v57 = 0 | ! [v65] : ( ~ (in(v65, v59) = 0) | ? [v66] : ? [v67] : ? [v68] : (ordered_pair(v65, v53) = v66 & in(v66, v55) = v67 & in(v65, v54) = v68 & ( ~ (v68 = 0) | ~ (v67 = 0))))))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (apply(v56, v54) = v57) | ~ (relation_dom_restriction(v55, v53) = v56) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : (apply(v55, v54) = v61 & relation(v55) = v58 & function(v55) = v59 & in(v54, v53) = v60 & ( ~ (v60 = 0) | ~ (v59 = 0) | ~ (v58 = 0) | v61 = v57))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (subset(v53, v54) = 0) | ~ (ordered_pair(v55, v56) = v57) | ~ (relation(v53) = 0) | ~ (in(v57, v53) = 0) | ? [v58] : ((v58 = 0 & in(v57, v54) = 0) | ( ~ (v58 = 0) & relation(v54) = v58))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (identity_relation(v53) = v54) | ~ (ordered_pair(v55, v56) = v57) | ~ (relation(v54) = 0) | ~ (in(v57, v54) = 0) | in(v55, v53) = 0) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (ordered_pair(v53, v54) = v56) | ~ (in(v56, v55) = v57) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : (relation_dom(v55) = v60 & apply(v55, v53) = v62 & relation(v55) = v58 & function(v55) = v59 & in(v53, v60) = v61 & ( ~ (v59 = 0) | ~ (v58 = 0) | (( ~ (v62 = v54) | ~ (v61 = 0) | v57 = 0) & ( ~ (v57 = 0) | (v62 = v54 & v61 = 0)))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (set_intersection2(v53, v54) = v55) | ~ (in(v56, v53) = v57) | ? [v58] : ? [v59] : (in(v56, v55) = v58 & in(v56, v54) = v59 & ( ~ (v58 = 0) | (v59 = 0 & v57 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (set_union2(v53, v54) = v55) | ~ (in(v56, v53) = v57) | ? [v58] : ? [v59] : (in(v56, v55) = v59 & in(v56, v54) = v58 & (v59 = 0 | ( ~ (v58 = 0) & ~ (v57 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (cartesian_product2(v53, v54) = v56) | ~ (powerset(v56) = v57) | ~ (element(v55, v57) = 0) | relation(v55) = 0) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (powerset(v56) = v57) | ~ (powerset(v53) = v56) | ~ (function(v55) = 0) | ~ (element(v54, v57) = 0) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : (relation_dom(v55) = v59 & powerset(v59) = v60 & relation(v55) = v58 & ( ~ (v58 = 0) | ( ! [v62] : ! [v63] : ! [v64] : ( ~ (relation_image(v55, v62) = v63) | ~ (in(v63, v54) = v64) | ? [v65] : ? [v66] : ((v66 = 0 & v65 = v62 & v64 = 0 & in(v62, v60) = 0) | ( ~ (v65 = 0) & in(v62, v61) = v65))) & ! [v62] : ! [v63] : ( ~ (relation_image(v55, v62) = v63) | ~ (in(v63, v54) = 0) | ~ (in(v62, v60) = 0) | in(v62, v61) = 0))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (powerset(v56) = v57) | ~ (powerset(v53) = v56) | ~ (function(v55) = 0) | ~ (element(v54, v57) = 0) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : (relation_dom(v55) = v59 & powerset(v59) = v60 & relation(v55) = v58 & ( ~ (v58 = 0) | ( ! [v62] : ! [v63] : ( ~ (in(v62, v60) = v63) | ? [v64] : ? [v65] : ? [v66] : (relation_image(v55, v62) = v65 & in(v65, v54) = v66 & in(v62, v61) = v64 & ( ~ (v64 = 0) | (v66 = 0 & v63 = 0)))) & ! [v62] : ( ~ (in(v62, v60) = 0) | ? [v63] : ? [v64] : ? [v65] : (relation_image(v55, v62) = v63 & in(v63, v54) = v64 & in(v62, v61) = v65 & ( ~ (v64 = 0) | v65 = 0))))))) & ? [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v53 | ~ (unordered_triple(v54, v55, v56) = v57) | ? [v58] : ? [v59] : (in(v58, v53) = v59 & ( ~ (v59 = 0) | ( ~ (v58 = v56) & ~ (v58 = v55) & ~ (v58 = v54))) & (v59 = 0 | v58 = v56 | v58 = v55 | v58 = v54))) & ? [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v55 = v53 | ~ (pair_second(v54) = v55) | ~ (ordered_pair(v56, v57) = v54) | ? [v58] : ? [v59] : ( ~ (v59 = v53) & ordered_pair(v58, v59) = v54)) & ? [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v55 = v53 | ~ (pair_first(v54) = v55) | ~ (ordered_pair(v56, v57) = v54) | ? [v58] : ? [v59] : ( ~ (v58 = v53) & ordered_pair(v58, v59) = v54)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v55 | ~ (relation_composition(v53, v54) = v55) | ~ (relation(v56) = 0) | ~ (relation(v53) = 0) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : (( ~ (v57 = 0) & relation(v54) = v57) | (ordered_pair(v57, v58) = v59 & in(v59, v56) = v60 & ( ~ (v60 = 0) | ! [v66] : ! [v67] : ( ~ (ordered_pair(v57, v66) = v67) | ~ (in(v67, v53) = 0) | ? [v68] : ? [v69] : ( ~ (v69 = 0) & ordered_pair(v66, v58) = v68 & in(v68, v54) = v69))) & (v60 = 0 | (v65 = 0 & v63 = 0 & ordered_pair(v61, v58) = v64 & ordered_pair(v57, v61) = v62 & in(v64, v54) = 0 & in(v62, v53) = 0))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v55 | ~ (relation_rng_restriction(v53, v54) = v55) | ~ (relation(v56) = 0) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : (( ~ (v57 = 0) & relation(v54) = v57) | (ordered_pair(v57, v58) = v59 & in(v59, v56) = v60 & in(v59, v54) = v62 & in(v58, v53) = v61 & ( ~ (v62 = 0) | ~ (v61 = 0) | ~ (v60 = 0)) & (v60 = 0 | (v62 = 0 & v61 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v55 | ~ (relation_dom_restriction(v53, v54) = v56) | ~ (relation(v55) = 0) | ~ (relation(v53) = 0) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : (ordered_pair(v57, v58) = v59 & in(v59, v55) = v60 & in(v59, v53) = v62 & in(v57, v54) = v61 & ( ~ (v62 = 0) | ~ (v61 = 0) | ~ (v60 = 0)) & (v60 = 0 | (v62 = 0 & v61 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v54 | v56 = v53 | ~ (unordered_pair(v53, v54) = v55) | ~ (in(v56, v55) = 0)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v54 | ~ (relation_rng_as_subset(v53, v54, v55) = v56) | ? [v57] : ? [v58] : ((v58 = 0 & in(v57, v54) = 0 & ! [v59] : ! [v60] : ( ~ (ordered_pair(v59, v57) = v60) | ~ (in(v60, v55) = 0))) | ( ~ (v57 = 0) & relation_of2_as_subset(v55, v53, v54) = v57))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v54 | ~ (subset_complement(v53, v55) = v56) | ~ (subset_complement(v53, v54) = v55) | ? [v57] : ? [v58] : ( ~ (v58 = 0) & powerset(v53) = v57 & element(v54, v57) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v54 | ~ (set_difference(v54, v53) = v55) | ~ (set_union2(v53, v55) = v56) | ? [v57] : ( ~ (v57 = 0) & subset(v53, v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v54 | ~ (singleton(v53) = v55) | ~ (set_union2(v55, v54) = v56) | ? [v57] : ( ~ (v57 = 0) & in(v53, v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v54 | ~ (relation_dom_as_subset(v54, v53, v55) = v56) | ? [v57] : ? [v58] : ((v58 = 0 & in(v57, v54) = 0 & ! [v59] : ! [v60] : ( ~ (ordered_pair(v57, v59) = v60) | ~ (in(v60, v55) = 0))) | ( ~ (v57 = 0) & relation_of2_as_subset(v55, v54, v53) = v57))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v54 | ~ (apply(v55, v54) = v56) | ~ (identity_relation(v53) = v55) | ? [v57] : ( ~ (v57 = 0) & in(v54, v53) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v53 | ~ (set_difference(v53, v55) = v56) | ~ (singleton(v54) = v55) | in(v54, v53) = 0) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v53 | ~ (relation_inverse_image(v54, v53) = v55) | ~ (relation_image(v54, v55) = v56) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : (relation_rng(v54) = v59 & subset(v53, v59) = v60 & relation(v54) = v57 & function(v54) = v58 & ( ~ (v60 = 0) | ~ (v58 = 0) | ~ (v57 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | v53 = empty_set | ~ (set_meet(v53) = v54) | ~ (in(v55, v54) = v56) | ? [v57] : ? [v58] : ( ~ (v58 = 0) & in(v57, v53) = 0 & in(v55, v57) = v58)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (being_limit_ordinal(v53) = 0) | ~ (succ(v54) = v55) | ~ (in(v55, v53) = v56) | ? [v57] : ? [v58] : (( ~ (v57 = 0) & ordinal(v53) = v57) | (ordinal(v54) = v57 & in(v54, v53) = v58 & ( ~ (v58 = 0) | ~ (v57 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (set_difference(v53, v54) = v55) | ~ (subset(v55, v53) = v56)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (union(v54) = v55) | ~ (subset(v53, v55) = v56) | ? [v57] : ( ~ (v57 = 0) & in(v53, v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (cast_to_subset(v53) = v54) | ~ (powerset(v53) = v55) | ~ (element(v54, v55) = v56)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (disjoint(v55, v54) = v56) | ~ (singleton(v53) = v55) | in(v53, v54) = 0) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (disjoint(v54, v55) = 0) | ~ (disjoint(v53, v55) = v56) | ? [v57] : ( ~ (v57 = 0) & subset(v53, v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (relation_of2(v55, v53, v54) = v56) | ? [v57] : ( ~ (v57 = 0) & relation_of2_as_subset(v55, v53, v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (singleton(v53) = v55) | ~ (subset(v55, v54) = v56) | ? [v57] : ( ~ (v57 = 0) & in(v53, v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (relation_rng_restriction(v53, v54) = v55) | ~ (subset(v55, v54) = v56) | ? [v57] : ( ~ (v57 = 0) & relation(v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (relation_dom_restriction(v54, v53) = v55) | ~ (subset(v55, v54) = v56) | ? [v57] : ( ~ (v57 = 0) & relation(v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (subset(v55, v53) = v56) | ~ (set_intersection2(v53, v54) = v55)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (subset(v55, v53) = v56) | ~ (powerset(v53) = v54) | ? [v57] : ( ~ (v57 = 0) & in(v55, v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (subset(v53, v55) = v56) | ~ (subset(v53, v54) = 0) | ? [v57] : ( ~ (v57 = 0) & subset(v54, v55) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (subset(v53, v55) = v56) | ~ (set_union2(v53, v54) = v55)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (unordered_pair(v53, v54) = v55) | ~ (in(v54, v55) = v56)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (unordered_pair(v53, v54) = v55) | ~ (in(v53, v55) = v56)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (powerset(v54) = v55) | ~ (element(v53, v55) = v56) | ? [v57] : ? [v58] : ( ~ (v58 = 0) & in(v57, v54) = v58 & in(v57, v53) = 0)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = 0 | ~ (powerset(v54) = v55) | ~ (element(v53, v55) = v56) | ? [v57] : ( ~ (v57 = 0) & subset(v53, v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v55 = v54 | ~ (singleton(v53) = v56) | ~ (unordered_pair(v54, v55) = v56)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v55 = v54 | ~ (antisymmetric(v53) = 0) | ~ (ordered_pair(v54, v55) = v56) | ~ (in(v56, v53) = 0) | ? [v57] : ? [v58] : (( ~ (v58 = 0) & ordered_pair(v55, v54) = v57 & in(v57, v53) = v58) | ( ~ (v57 = 0) & relation(v53) = v57))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v55 = 0 | ~ (relation_isomorphism(v53, v54, v56) = 0) | ~ (well_ordering(v54) = v55) | ~ (well_ordering(v53) = 0) | ? [v57] : ? [v58] : (( ~ (v57 = 0) & relation(v54) = v57) | ( ~ (v57 = 0) & relation(v53) = v57) | (relation(v56) = v57 & function(v56) = v58 & ( ~ (v58 = 0) | ~ (v57 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v55 = 0 | ~ (equipotent(v53, v54) = v55) | ~ (one_to_one(v56) = 0) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : (relation_rng(v56) = v60 & relation_dom(v56) = v59 & relation(v56) = v57 & function(v56) = v58 & ( ~ (v60 = v54) | ~ (v59 = v53) | ~ (v58 = 0) | ~ (v57 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (are_equipotent(v56, v55) = v54) | ~ (are_equipotent(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (meet_of_subsets(v56, v55) = v54) | ~ (meet_of_subsets(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (union_of_subsets(v56, v55) = v54) | ~ (union_of_subsets(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (complements_of_subsets(v56, v55) = v54) | ~ (complements_of_subsets(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (relation_composition(v56, v55) = v54) | ~ (relation_composition(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (relation_restriction(v56, v55) = v54) | ~ (relation_restriction(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (well_orders(v56, v55) = v54) | ~ (well_orders(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (subset_complement(v56, v55) = v54) | ~ (subset_complement(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (set_difference(v56, v55) = v54) | ~ (set_difference(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (equipotent(v56, v55) = v54) | ~ (equipotent(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (is_well_founded_in(v56, v55) = v54) | ~ (is_well_founded_in(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (disjoint(v56, v55) = v54) | ~ (disjoint(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (fiber(v56, v55) = v54) | ~ (fiber(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (is_reflexive_in(v56, v55) = v54) | ~ (is_reflexive_in(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (singleton(v54) = v56) | ~ (singleton(v53) = v55) | ~ (subset(v55, v56) = 0)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (singleton(v53) = v56) | ~ (unordered_pair(v54, v55) = v56)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (is_transitive_in(v56, v55) = v54) | ~ (is_transitive_in(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (is_connected_in(v56, v55) = v54) | ~ (is_connected_in(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (relation_inverse_image(v56, v55) = v54) | ~ (relation_inverse_image(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (is_antisymmetric_in(v56, v55) = v54) | ~ (is_antisymmetric_in(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (relation_rng_restriction(v56, v55) = v54) | ~ (relation_rng_restriction(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (relation_image(v56, v55) = v54) | ~ (relation_image(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (apply(v56, v55) = v54) | ~ (apply(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (relation_dom_restriction(v56, v55) = v54) | ~ (relation_dom_restriction(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (subset(v56, v55) = v54) | ~ (subset(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (ordered_pair(v56, v55) = v54) | ~ (ordered_pair(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (ordinal_subset(v56, v55) = v54) | ~ (ordinal_subset(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (set_intersection2(v56, v55) = v54) | ~ (set_intersection2(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (set_union2(v56, v55) = v54) | ~ (set_union2(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (unordered_pair(v56, v55) = v54) | ~ (unordered_pair(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (cartesian_product2(v56, v55) = v54) | ~ (cartesian_product2(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (element(v56, v55) = v54) | ~ (element(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (proper_subset(v56, v55) = v54) | ~ (proper_subset(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (in(v56, v55) = v54) | ~ (in(v56, v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = empty_set | ~ (powerset(v55) = v56) | ~ (powerset(v53) = v55) | ~ (element(v54, v56) = 0) | ? [v57] : ( ~ (v57 = empty_set) & complements_of_subsets(v53, v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_rng_as_subset(v53, v54, v55) = v56) | ? [v57] : ? [v58] : (relation_of2(v55, v53, v54) = v57 & relation_rng(v55) = v58 & ( ~ (v57 = 0) | v58 = v56))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_rng_as_subset(v53, v54, v55) = v54) | ~ (in(v56, v54) = 0) | ? [v57] : ? [v58] : ? [v59] : ((v59 = 0 & ordered_pair(v57, v56) = v58 & in(v58, v55) = 0) | ( ~ (v57 = 0) & relation_of2_as_subset(v55, v53, v54) = v57))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_composition(v55, v54) = v56) | ~ (identity_relation(v53) = v55) | ? [v57] : ? [v58] : (relation_dom_restriction(v54, v53) = v58 & relation(v54) = v57 & ( ~ (v57 = 0) | v58 = v56))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (set_difference(v55, v54) = v56) | ~ (set_union2(v53, v54) = v55) | set_difference(v53, v54) = v56) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (set_difference(v54, v53) = v55) | ~ (set_union2(v53, v55) = v56) | set_union2(v53, v54) = v56) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (set_difference(v53, v55) = v56) | ~ (set_difference(v53, v54) = v55) | set_intersection2(v53, v54) = v56) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (set_difference(v53, v54) = v55) | ~ (in(v56, v53) = 0) | ? [v57] : ? [v58] : (in(v56, v55) = v58 & in(v56, v54) = v57 & (v58 = 0 | v57 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (succ(v53) = v54) | ~ (ordinal_subset(v54, v55) = v56) | ? [v57] : ? [v58] : (( ~ (v57 = 0) & ordinal(v53) = v57) | (ordinal(v55) = v57 & in(v53, v55) = v58 & ( ~ (v57 = 0) | (( ~ (v58 = 0) | v56 = 0) & ( ~ (v56 = 0) | v58 = 0)))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_dom_as_subset(v54, v53, v55) = v54) | ~ (in(v56, v54) = 0) | ? [v57] : ? [v58] : ? [v59] : ((v59 = 0 & ordered_pair(v56, v57) = v58 & in(v58, v55) = 0) | ( ~ (v57 = 0) & relation_of2_as_subset(v55, v54, v53) = v57))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_dom_as_subset(v53, v54, v55) = v56) | ? [v57] : ? [v58] : (relation_of2(v55, v53, v54) = v57 & relation_dom(v55) = v58 & ( ~ (v57 = 0) | v58 = v56))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_dom_as_subset(v53, v54, v55) = v56) | ? [v57] : ? [v58] : (relation_of2_as_subset(v55, v53, v54) = v57 & quasi_total(v55, v53, v54) = v58 & ( ~ (v57 = 0) | (( ~ (v54 = empty_set) | v53 = empty_set | (( ~ (v58 = 0) | v55 = empty_set) & ( ~ (v55 = empty_set) | v58 = 0))) & ((v54 = empty_set & ~ (v53 = empty_set)) | (( ~ (v58 = 0) | v56 = v53) & ( ~ (v56 = v53) | v58 = 0))))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (quasi_total(v55, empty_set, v54) = v56) | ~ (quasi_total(v55, empty_set, v53) = 0) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : (relation_of2_as_subset(v55, empty_set, v54) = v60 & relation_of2_as_subset(v55, empty_set, v53) = v58 & subset(v53, v54) = v59 & function(v55) = v57 & ( ~ (v59 = 0) | ~ (v58 = 0) | ~ (v57 = 0) | (v60 = 0 & v56 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_rng(v54) = v55) | ~ (set_intersection2(v55, v53) = v56) | ? [v57] : ? [v58] : ? [v59] : (relation_rng(v58) = v59 & relation_rng_restriction(v53, v54) = v58 & relation(v54) = v57 & ( ~ (v57 = 0) | v59 = v56))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_rng(v53) = v55) | ~ (relation_dom(v53) = v54) | ~ (set_union2(v54, v55) = v56) | ? [v57] : ? [v58] : (relation_field(v53) = v58 & relation(v53) = v57 & ( ~ (v57 = 0) | v58 = v56))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_rng(v53) = v54) | ~ (relation_image(v55, v54) = v56) | ? [v57] : ? [v58] : ? [v59] : (( ~ (v57 = 0) & relation(v53) = v57) | (relation_composition(v53, v55) = v58 & relation_rng(v58) = v59 & relation(v55) = v57 & ( ~ (v57 = 0) | v59 = v56)))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_inverse_image(v53, v54) = v55) | ~ (relation(v53) = 0) | ~ (in(v56, v55) = 0) | ? [v57] : ? [v58] : (ordered_pair(v56, v57) = v58 & in(v58, v53) = 0 & in(v57, v54) = 0)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_rng_restriction(v53, v55) = v56) | ~ (relation_dom_restriction(v54, v53) = v55) | ? [v57] : ? [v58] : (relation_restriction(v54, v53) = v58 & relation(v54) = v57 & ( ~ (v57 = 0) | v58 = v56))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_rng_restriction(v53, v54) = v55) | ~ (relation_dom_restriction(v55, v53) = v56) | ? [v57] : ? [v58] : (relation_restriction(v54, v53) = v58 & relation(v54) = v57 & ( ~ (v57 = 0) | v58 = v56))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_dom(v54) = v55) | ~ (set_intersection2(v55, v53) = v56) | ? [v57] : ? [v58] : ? [v59] : (relation_dom(v58) = v59 & relation_dom_restriction(v54, v53) = v58 & relation(v54) = v57 & ( ~ (v57 = 0) | v59 = v56))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_dom(v54) = v55) | ~ (in(v53, v55) = v56) | ? [v57] : ? [v58] : ? [v59] : (apply(v54, v53) = v59 & relation(v54) = v57 & function(v54) = v58 & ( ~ (v58 = 0) | ~ (v57 = 0) | ! [v60] : ! [v61] : ! [v62] : ( ~ (v56 = 0) | ~ (relation_composition(v54, v60) = v61) | ~ (apply(v61, v53) = v62) | ? [v63] : ? [v64] : ? [v65] : (apply(v60, v59) = v65 & relation(v60) = v63 & function(v60) = v64 & ( ~ (v64 = 0) | ~ (v63 = 0) | v65 = v62)))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (relation_image(v53, v54) = v55) | ~ (relation(v53) = 0) | ~ (in(v56, v55) = 0) | ? [v57] : ? [v58] : (ordered_pair(v57, v56) = v58 & in(v58, v53) = 0 & in(v57, v54) = 0)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (subset(v56, v55) = 0) | ~ (unordered_pair(v53, v54) = v56) | (in(v54, v55) = 0 & in(v53, v55) = 0)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (subset(v55, v56) = 0) | ~ (cartesian_product2(v53, v54) = v56) | relation_of2(v55, v53, v54) = 0) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (set_intersection2(v53, v55) = v56) | ~ (cartesian_product2(v54, v54) = v55) | ~ (relation(v53) = 0) | relation_restriction(v53, v54) = v56) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (set_intersection2(v53, v54) = v55) | ~ (in(v56, v53) = 0) | ? [v57] : ? [v58] : (in(v56, v55) = v58 & in(v56, v54) = v57 & ( ~ (v57 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (the_carrier(v53) = v56) | ~ (element(v55, v56) = 0) | ~ (element(v54, v56) = 0) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : (meet(v53, v54, v55) = v61 & meet_commutative(v53) = v58 & meet_semilatt_str(v53) = v59 & meet_commut(v53, v54, v55) = v60 & empty_carrier(v53) = v57 & ( ~ (v59 = 0) | ~ (v58 = 0) | v61 = v60 | v57 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (the_carrier(v53) = v56) | ~ (element(v55, v56) = 0) | ~ (element(v54, v56) = 0) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : (join(v53, v54, v55) = v61 & empty_carrier(v53) = v57 & join_commutative(v53) = v58 & join_semilatt_str(v53) = v59 & join_commut(v53, v54, v55) = v60 & ( ~ (v59 = 0) | ~ (v58 = 0) | v61 = v60 | v57 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (the_carrier(v53) = v56) | ~ (element(v55, v56) = 0) | ~ (element(v54, v56) = 0) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : (meet_commutative(v53) = v58 & meet_semilatt_str(v53) = v59 & meet_commut(v53, v55, v54) = v61 & meet_commut(v53, v54, v55) = v60 & empty_carrier(v53) = v57 & ( ~ (v59 = 0) | ~ (v58 = 0) | v61 = v60 | v57 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (the_carrier(v53) = v56) | ~ (element(v55, v56) = 0) | ~ (element(v54, v56) = 0) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : (empty_carrier(v53) = v57 & join_commutative(v53) = v58 & join_semilatt_str(v53) = v59 & join_commut(v53, v55, v54) = v61 & join_commut(v53, v54, v55) = v60 & ( ~ (v59 = 0) | ~ (v58 = 0) | v61 = v60 | v57 = 0))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (cartesian_product2(v53, v54) = v55) | ~ (in(v56, v55) = 0) | ? [v57] : ? [v58] : (ordered_pair(v57, v58) = v56 & in(v58, v54) = 0 & in(v57, v53) = 0)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (cartesian_product2(v53, v53) = v56) | ~ (relation(v54) = 0) | ~ (function(v55) = 0) | ? [v57] : (( ~ (v57 = 0) & relation(v55) = v57) | ( ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ! [v64] : (v59 = 0 | ~ (apply(v55, v61) = v63) | ~ (apply(v55, v60) = v62) | ~ (ordered_pair(v62, v63) = v64) | ~ (in(v64, v54) = 0) | ~ (in(v58, v57) = v59) | ~ (in(v58, v56) = 0) | ? [v65] : ( ~ (v65 = v58) & ordered_pair(v60, v61) = v65)) & ! [v58] : ( ~ (in(v58, v57) = 0) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : (apply(v55, v60) = v62 & apply(v55, v59) = v61 & ordered_pair(v61, v62) = v63 & ordered_pair(v59, v60) = v58 & in(v63, v54) = 0 & in(v58, v56) = 0))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (cartesian_product2(v53, v53) = v56) | ~ (relation(v54) = 0) | ~ (function(v55) = 0) | ? [v57] : (( ~ (v57 = 0) & relation(v55) = v57) | ( ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ( ~ (apply(v55, v60) = v62) | ~ (apply(v55, v59) = v61) | ~ (ordered_pair(v61, v62) = v63) | ~ (in(v63, v54) = 0) | ~ (in(v58, v56) = 0) | ? [v64] : ((v64 = 0 & in(v58, v57) = 0) | ( ~ (v64 = v58) & ordered_pair(v59, v60) = v64))) & ! [v58] : ! [v59] : (v59 = 0 | ~ (in(v58, v56) = v59) | ? [v60] : ( ~ (v60 = 0) & in(v58, v57) = v60)) & ! [v58] : ! [v59] : ( ~ (in(v58, v56) = v59) | ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ((v66 = 0 & v62 = v58 & apply(v55, v61) = v64 & apply(v55, v60) = v63 & ordered_pair(v63, v64) = v65 & ordered_pair(v60, v61) = v58 & in(v65, v54) = 0) | ( ~ (v60 = 0) & in(v58, v57) = v60)))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (powerset(v55) = v56) | ~ (powerset(v53) = v55) | ~ (element(v54, v56) = 0) | ? [v57] : (meet_of_subsets(v53, v54) = v57 & set_meet(v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (powerset(v55) = v56) | ~ (powerset(v53) = v55) | ~ (element(v54, v56) = 0) | ? [v57] : (union_of_subsets(v53, v54) = v57 & union(v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (powerset(v55) = v56) | ~ (powerset(v53) = v55) | ~ (element(v54, v56) = 0) | ? [v57] : (complements_of_subsets(v53, v57) = v54 & complements_of_subsets(v53, v54) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (powerset(v55) = v56) | ~ (powerset(v53) = v55) | ~ (element(v54, v56) = 0) | ? [v57] : (complements_of_subsets(v53, v54) = v57 & ! [v58] : (v58 = v57 | ~ (element(v58, v56) = 0) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : (subset_complement(v53, v59) = v61 & element(v59, v55) = 0 & in(v61, v54) = v62 & in(v59, v58) = v60 & ( ~ (v62 = 0) | ~ (v60 = 0)) & (v62 = 0 | v60 = 0))) & ! [v58] : ( ~ (element(v58, v55) = 0) | ~ (element(v57, v56) = 0) | ? [v59] : ? [v60] : ? [v61] : (subset_complement(v53, v58) = v60 & in(v60, v54) = v61 & in(v58, v57) = v59 & ( ~ (v61 = 0) | v59 = 0) & ( ~ (v59 = 0) | v61 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (powerset(v55) = v56) | ~ (element(v54, v56) = 0) | ~ (in(v53, v54) = 0) | ? [v57] : ( ~ (v57 = 0) & empty(v55) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (powerset(v53) = v56) | ~ (element(v55, v56) = 0) | ~ (element(v54, v56) = 0) | ? [v57] : (subset_difference(v53, v54, v55) = v57 & set_difference(v54, v55) = v57)) & ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (powerset(v53) = v56) | ~ (element(v55, v56) = 0) | ~ (in(v54, v55) = 0) | ? [v57] : ? [v58] : ( ~ (v58 = 0) & subset_complement(v53, v55) = v57 & in(v54, v57) = v58)) & ? [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v53 | ~ (set_difference(v54, v55) = v56) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : (in(v57, v55) = v60 & in(v57, v54) = v59 & in(v57, v53) = v58 & ( ~ (v59 = 0) | ~ (v58 = 0) | v60 = 0) & (v58 = 0 | (v59 = 0 & ~ (v60 = 0))))) & ? [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v53 | ~ (fiber(v54, v55) = v56) | ~ (relation(v54) = 0) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : (ordered_pair(v57, v55) = v59 & in(v59, v54) = v60 & in(v57, v53) = v58 & ( ~ (v60 = 0) | ~ (v58 = 0) | v57 = v55) & (v58 = 0 | (v60 = 0 & ~ (v57 = v55))))) & ? [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v53 | ~ (relation_inverse_image(v54, v55) = v56) | ~ (relation(v54) = 0) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : (in(v57, v53) = v58 & ( ~ (v58 = 0) | ! [v63] : ! [v64] : ( ~ (ordered_pair(v57, v63) = v64) | ~ (in(v64, v54) = 0) | ? [v65] : ( ~ (v65 = 0) & in(v63, v55) = v65))) & (v58 = 0 | (v62 = 0 & v61 = 0 & ordered_pair(v57, v59) = v60 & in(v60, v54) = 0 & in(v59, v55) = 0)))) & ? [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v53 | ~ (relation_image(v54, v55) = v56) | ~ (relation(v54) = 0) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : (in(v57, v53) = v58 & ( ~ (v58 = 0) | ! [v63] : ! [v64] : ( ~ (ordered_pair(v63, v57) = v64) | ~ (in(v64, v54) = 0) | ? [v65] : ( ~ (v65 = 0) & in(v63, v55) = v65))) & (v58 = 0 | (v62 = 0 & v61 = 0 & ordered_pair(v59, v57) = v60 & in(v60, v54) = 0 & in(v59, v55) = 0)))) & ? [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v53 | ~ (set_intersection2(v54, v55) = v56) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : (in(v57, v55) = v60 & in(v57, v54) = v59 & in(v57, v53) = v58 & ( ~ (v60 = 0) | ~ (v59 = 0) | ~ (v58 = 0)) & (v58 = 0 | (v60 = 0 & v59 = 0)))) & ? [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v53 | ~ (set_union2(v54, v55) = v56) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : (in(v57, v55) = v60 & in(v57, v54) = v59 & in(v57, v53) = v58 & ( ~ (v58 = 0) | ( ~ (v60 = 0) & ~ (v59 = 0))) & (v60 = 0 | v59 = 0 | v58 = 0))) & ? [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v53 | ~ (unordered_pair(v54, v55) = v56) | ? [v57] : ? [v58] : (in(v57, v53) = v58 & ( ~ (v58 = 0) | ( ~ (v57 = v55) & ~ (v57 = v54))) & (v58 = 0 | v57 = v55 | v57 = v54))) & ? [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v53 | ~ (cartesian_product2(v54, v55) = v56) | ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : (in(v57, v53) = v58 & ( ~ (v58 = 0) | ! [v64] : ! [v65] : ( ~ (ordered_pair(v64, v65) = v57) | ? [v66] : ? [v67] : (in(v65, v55) = v67 & in(v64, v54) = v66 & ( ~ (v67 = 0) | ~ (v66 = 0))))) & (v58 = 0 | (v63 = v57 & v62 = 0 & v61 = 0 & ordered_pair(v59, v60) = v57 & in(v60, v55) = 0 & in(v59, v54) = 0)))) & ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (relation_inverse(v53) = v54) | ~ (relation(v55) = 0) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : (( ~ (v56 = 0) & relation(v53) = v56) | (ordered_pair(v57, v56) = v60 & ordered_pair(v56, v57) = v58 & in(v60, v53) = v61 & in(v58, v55) = v59 & ( ~ (v61 = 0) | ~ (v59 = 0)) & (v61 = 0 | v59 = 0)))) & ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (inclusion_relation(v53) = v55) | ~ (relation_field(v54) = v53) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ((v59 = 0 & v58 = 0 & subset(v56, v57) = v62 & ordered_pair(v56, v57) = v60 & in(v60, v54) = v61 & in(v57, v53) = 0 & in(v56, v53) = 0 & ( ~ (v62 = 0) | ~ (v61 = 0)) & (v62 = 0 | v61 = 0)) | ( ~ (v56 = 0) & relation(v54) = v56))) & ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (identity_relation(v53) = v55) | ~ (relation(v54) = 0) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : (ordered_pair(v56, v57) = v58 & in(v58, v54) = v59 & in(v56, v53) = v60 & ( ~ (v60 = 0) | ~ (v59 = 0) | ~ (v57 = v56)) & (v59 = 0 | (v60 = 0 & v57 = v56)))) & ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (set_union2(v53, v54) = v55) | ? [v56] : ( ~ (v56 = 0) & subset(v53, v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (epsilon_connected(v53) = 0) | ~ (in(v55, v53) = 0) | ~ (in(v54, v53) = 0) | ? [v56] : ? [v57] : (in(v55, v54) = v57 & in(v54, v55) = v56 & (v57 = 0 | v56 = 0))) & ! [v53] : ! [v54] : ! [v55] : (v55 = v53 | v53 = empty_set | ~ (singleton(v54) = v55) | ~ (subset(v53, v55) = 0)) & ! [v53] : ! [v54] : ! [v55] : (v55 = v53 | ~ (inclusion_relation(v53) = v54) | ~ (relation_field(v54) = v55) | ? [v56] : ( ~ (v56 = 0) & relation(v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : (v55 = v53 | ~ (singleton(v53) = v54) | ~ (in(v55, v54) = 0)) & ! [v53] : ! [v54] : ! [v55] : (v55 = v53 | ~ (set_intersection2(v53, v54) = v55) | ? [v56] : ( ~ (v56 = 0) & subset(v53, v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : (v55 = empty_set | ~ (set_difference(v53, v54) = v55) | ? [v56] : ( ~ (v56 = 0) & subset(v53, v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : (v55 = empty_set | ~ (is_well_founded_in(v53, v54) = 0) | ~ (subset(v55, v54) = 0) | ~ (relation(v53) = 0) | ? [v56] : ? [v57] : (disjoint(v57, v55) = 0 & fiber(v53, v56) = v57 & in(v56, v55) = 0)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | v54 = v53 | ~ (proper_subset(v53, v54) = v55) | ? [v56] : ( ~ (v56 = 0) & subset(v53, v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (are_equipotent(v53, v54) = v55) | ? [v56] : ( ~ (v56 = 0) & equipotent(v53, v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (is_well_founded_in(v53, v54) = v55) | ~ (relation(v53) = 0) | ? [v56] : ( ~ (v56 = empty_set) & subset(v56, v54) = 0 & ! [v57] : ! [v58] : ( ~ (disjoint(v58, v56) = 0) | ~ (fiber(v53, v57) = v58) | ? [v59] : ( ~ (v59 = 0) & in(v57, v56) = v59)))) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (disjoint(v53, v54) = v55) | ? [v56] : ? [v57] : (set_intersection2(v53, v54) = v56 & in(v57, v56) = 0)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (disjoint(v53, v54) = v55) | ? [v56] : ( ~ (v56 = v53) & set_difference(v53, v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (disjoint(v53, v54) = v55) | ? [v56] : ( ~ (v56 = empty_set) & set_intersection2(v53, v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (disjoint(v53, v54) = v55) | ? [v56] : (in(v56, v54) = 0 & in(v56, v53) = 0)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (is_reflexive_in(v53, v54) = v55) | ~ (relation(v53) = 0) | ? [v56] : ? [v57] : ? [v58] : ( ~ (v58 = 0) & ordered_pair(v56, v56) = v57 & in(v57, v53) = v58 & in(v56, v54) = 0)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (singleton(v54) = v53) | ~ (subset(v53, v53) = v55)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (singleton(v53) = v54) | ~ (subset(empty_set, v54) = v55)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (singleton(v53) = v54) | ~ (in(v53, v54) = v55)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (succ(v53) = v54) | ~ (in(v53, v54) = v55)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (is_transitive_in(v53, v54) = v55) | ~ (relation(v53) = 0) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ( ~ (v62 = 0) & ordered_pair(v57, v58) = v60 & ordered_pair(v56, v58) = v61 & ordered_pair(v56, v57) = v59 & in(v61, v53) = v62 & in(v60, v53) = 0 & in(v59, v53) = 0 & in(v58, v54) = 0 & in(v57, v54) = 0 & in(v56, v54) = 0)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (is_connected_in(v53, v54) = v55) | ~ (relation(v53) = 0) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ( ~ (v61 = 0) & ~ (v59 = 0) & ~ (v57 = v56) & ordered_pair(v57, v56) = v60 & ordered_pair(v56, v57) = v58 & in(v60, v53) = v61 & in(v58, v53) = v59 & in(v57, v54) = 0 & in(v56, v54) = 0)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (is_antisymmetric_in(v53, v54) = v55) | ~ (relation(v53) = 0) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ( ~ (v57 = v56) & ordered_pair(v57, v56) = v59 & ordered_pair(v56, v57) = v58 & in(v59, v53) = 0 & in(v58, v53) = 0 & in(v57, v54) = 0 & in(v56, v54) = 0)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (subset(v54, v53) = v55) | ~ (epsilon_transitive(v53) = 0) | ? [v56] : ( ~ (v56 = 0) & in(v54, v53) = v56)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (subset(v53, v54) = v55) | ~ (relation(v53) = 0) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ((v59 = 0 & ~ (v60 = 0) & ordered_pair(v56, v57) = v58 & in(v58, v54) = v60 & in(v58, v53) = 0) | ( ~ (v56 = 0) & relation(v54) = v56))) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (subset(v53, v54) = v55) | ? [v56] : ? [v57] : ( ~ (v57 = 0) & in(v56, v54) = v57 & in(v56, v53) = 0)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (ordinal_subset(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : (ordinal_subset(v54, v53) = v58 & ordinal(v54) = v57 & ordinal(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (ordinal_subset(v53, v53) = v55) | ~ (ordinal(v54) = 0) | ? [v56] : ( ~ (v56 = 0) & ordinal(v53) = v56)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (relation(v54) = 0) | ~ (empty(v53) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ((v63 = 0 & v62 = v56 & v61 = 0 & v60 = v56 & v59 = 0 & ~ (v58 = v57) & in(v58, v56) = 0 & in(v57, v56) = 0 & in(v56, v53) = 0 & ! [v64] : ! [v65] : ! [v66] : (v66 = 0 | ~ (ordered_pair(v58, v64) = v65) | ~ (in(v65, v54) = v66) | ? [v67] : ( ~ (v67 = 0) & in(v64, v56) = v67)) & ! [v64] : ! [v65] : ! [v66] : (v66 = 0 | ~ (ordered_pair(v57, v64) = v65) | ~ (in(v65, v54) = v66) | ? [v67] : ( ~ (v67 = 0) & in(v64, v56) = v67))) | (v59 = v53 & v58 = 0 & v57 = 0 & relation_dom(v56) = v53 & relation(v56) = 0 & function(v56) = 0 & ! [v64] : ! [v65] : ( ~ (apply(v56, v64) = v65) | ? [v66] : ? [v67] : ((v67 = 0 & v66 = v64 & in(v65, v64) = 0 & ! [v68] : ! [v69] : ! [v70] : (v70 = 0 | ~ (ordered_pair(v65, v68) = v69) | ~ (in(v69, v54) = v70) | ? [v71] : ( ~ (v71 = 0) & in(v68, v64) = v71))) | ( ~ (v66 = 0) & in(v64, v53) = v66)))) | (v57 = 0 & in(v56, v53) = 0 & ! [v64] : ( ~ (in(v64, v56) = 0) | ? [v65] : ? [v66] : ? [v67] : ( ~ (v67 = 0) & ordered_pair(v64, v65) = v66 & in(v66, v54) = v67 & in(v65, v56) = 0))))) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (relation(v54) = 0) | ~ (empty(v53) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ((v63 = 0 & v62 = v56 & v61 = 0 & v60 = v56 & v59 = 0 & ~ (v58 = v57) & in(v58, v56) = 0 & in(v57, v56) = 0 & in(v56, v53) = 0 & ! [v64] : ! [v65] : ! [v66] : (v66 = 0 | ~ (ordered_pair(v58, v64) = v65) | ~ (in(v65, v54) = v66) | ? [v67] : ( ~ (v67 = 0) & in(v64, v56) = v67)) & ! [v64] : ! [v65] : ! [v66] : (v66 = 0 | ~ (ordered_pair(v57, v64) = v65) | ~ (in(v65, v54) = v66) | ? [v67] : ( ~ (v67 = 0) & in(v64, v56) = v67))) | (v58 = 0 & v57 = 0 & relation(v56) = 0 & function(v56) = 0 & ! [v64] : ! [v65] : ! [v66] : ! [v67] : (v67 = 0 | ~ (ordered_pair(v64, v65) = v66) | ~ (in(v66, v56) = v67) | ~ (in(v65, v64) = 0) | ? [v68] : ? [v69] : ? [v70] : ? [v71] : ((v69 = 0 & ~ (v71 = 0) & ordered_pair(v65, v68) = v70 & in(v70, v54) = v71 & in(v68, v64) = 0) | ( ~ (v68 = 0) & in(v64, v53) = v68))) & ! [v64] : ! [v65] : ! [v66] : ( ~ (ordered_pair(v64, v65) = v66) | ~ (in(v66, v56) = 0) | in(v64, v53) = 0) & ! [v64] : ! [v65] : ! [v66] : ( ~ (ordered_pair(v64, v65) = v66) | ~ (in(v66, v56) = 0) | (in(v65, v64) = 0 & ! [v67] : ! [v68] : ! [v69] : (v69 = 0 | ~ (ordered_pair(v65, v67) = v68) | ~ (in(v68, v54) = v69) | ? [v70] : ( ~ (v70 = 0) & in(v67, v64) = v70))))))) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (relation(v54) = 0) | ~ (empty(v53) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ((v63 = 0 & v62 = v56 & v61 = 0 & v60 = v56 & v59 = 0 & ~ (v58 = v57) & in(v58, v56) = 0 & in(v57, v56) = 0 & in(v56, v53) = 0 & ! [v64] : ! [v65] : ! [v66] : (v66 = 0 | ~ (ordered_pair(v58, v64) = v65) | ~ (in(v65, v54) = v66) | ? [v67] : ( ~ (v67 = 0) & in(v64, v56) = v67)) & ! [v64] : ! [v65] : ! [v66] : (v66 = 0 | ~ (ordered_pair(v57, v64) = v65) | ~ (in(v65, v54) = v66) | ? [v67] : ( ~ (v67 = 0) & in(v64, v56) = v67))) | ( ! [v64] : ! [v65] : ! [v66] : (v65 = 0 | ~ (in(v66, v53) = 0) | ~ (in(v64, v66) = 0) | ~ (in(v64, v56) = v65) | ? [v67] : ? [v68] : ? [v69] : ( ~ (v69 = 0) & ordered_pair(v64, v67) = v68 & in(v68, v54) = v69 & in(v67, v66) = 0)) & ! [v64] : ( ~ (in(v64, v56) = 0) | ? [v65] : (in(v65, v53) = 0 & in(v64, v65) = 0 & ! [v66] : ! [v67] : ! [v68] : (v68 = 0 | ~ (ordered_pair(v64, v66) = v67) | ~ (in(v67, v54) = v68) | ? [v69] : ( ~ (v69 = 0) & in(v66, v65) = v69))))))) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (finite(v54) = 0) | ~ (finite(v53) = v55) | ? [v56] : ( ~ (v56 = 0) & subset(v53, v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (element(v53, v54) = v55) | ? [v56] : ( ~ (v56 = 0) & in(v53, v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : (v55 = 0 | ~ (ordinal(v54) = 0) | ~ (ordinal(v53) = v55) | ? [v56] : ( ~ (v56 = 0) & in(v53, v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (relation_empty_yielding(v55) = v54) | ~ (relation_empty_yielding(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (one_sorted_str(v55) = v54) | ~ (one_sorted_str(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (function_inverse(v55) = v54) | ~ (function_inverse(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (meet_absorbing(v55) = v54) | ~ (meet_absorbing(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (latt_str(v55) = v54) | ~ (latt_str(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (relation_inverse(v55) = v54) | ~ (relation_inverse(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (being_limit_ordinal(v55) = v54) | ~ (being_limit_ordinal(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (well_ordering(v55) = v54) | ~ (well_ordering(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (reflexive(v55) = v54) | ~ (reflexive(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (union(v55) = v54) | ~ (union(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (cast_to_subset(v55) = v54) | ~ (cast_to_subset(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (well_founded_relation(v55) = v54) | ~ (well_founded_relation(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (pair_second(v55) = v54) | ~ (pair_second(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (the_L_meet(v55) = v54) | ~ (the_L_meet(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (inclusion_relation(v55) = v54) | ~ (inclusion_relation(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (set_meet(v55) = v54) | ~ (set_meet(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (singleton(v55) = v54) | ~ (singleton(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (succ(v55) = v54) | ~ (succ(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (pair_first(v55) = v54) | ~ (pair_first(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (the_L_join(v55) = v54) | ~ (the_L_join(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (relation_rng(v55) = v54) | ~ (relation_rng(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (transitive(v55) = v54) | ~ (transitive(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (connected(v55) = v54) | ~ (connected(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (relation_field(v55) = v54) | ~ (relation_field(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (antisymmetric(v55) = v54) | ~ (antisymmetric(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (relation_dom(v55) = v54) | ~ (relation_dom(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (identity_relation(v55) = v54) | ~ (identity_relation(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (meet_commutative(v55) = v54) | ~ (meet_commutative(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (meet_semilatt_str(v55) = v54) | ~ (meet_semilatt_str(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (the_carrier(v55) = v54) | ~ (the_carrier(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (empty_carrier(v55) = v54) | ~ (empty_carrier(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (join_commutative(v55) = v54) | ~ (join_commutative(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (join_semilatt_str(v55) = v54) | ~ (join_semilatt_str(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (one_to_one(v55) = v54) | ~ (one_to_one(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (natural(v55) = v54) | ~ (natural(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (powerset(v55) = v54) | ~ (powerset(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (relation(v55) = v54) | ~ (relation(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (function(v55) = v54) | ~ (function(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (preboolean(v55) = v54) | ~ (preboolean(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (cup_closed(v55) = v54) | ~ (cup_closed(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (diff_closed(v55) = v54) | ~ (diff_closed(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (finite(v55) = v54) | ~ (finite(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (empty(v55) = v54) | ~ (empty(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (epsilon_connected(v55) = v54) | ~ (epsilon_connected(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (epsilon_transitive(v55) = v54) | ~ (epsilon_transitive(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = v53 | ~ (ordinal(v55) = v54) | ~ (ordinal(v55) = v53)) & ! [v53] : ! [v54] : ! [v55] : (v54 = 0 | ~ (relation_rng(v55) = v53) | ~ (finite(v53) = v54) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : (relation_dom(v55) = v58 & relation(v55) = v56 & function(v55) = v57 & in(v58, omega) = v59 & ( ~ (v59 = 0) | ~ (v57 = 0) | ~ (v56 = 0)))) & ! [v53] : ! [v54] : ! [v55] : (v53 = empty_set | ~ (relation_rng(v54) = v55) | ~ (subset(v53, v55) = 0) | ? [v56] : ? [v57] : (relation_inverse_image(v54, v53) = v57 & relation(v54) = v56 & ( ~ (v57 = empty_set) | ~ (v56 = 0)))) & ! [v53] : ! [v54] : ! [v55] : (v53 = empty_set | ~ (powerset(v53) = v54) | ~ (element(v55, v54) = 0) | ? [v56] : (subset_complement(v53, v55) = v56 & ! [v57] : ! [v58] : (v58 = 0 | ~ (in(v57, v56) = v58) | ? [v59] : ? [v60] : (element(v57, v53) = v59 & in(v57, v55) = v60 & ( ~ (v59 = 0) | v60 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_composition(v54, v53) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : (relation(v55) = v59 & relation(v54) = v57 & empty(v55) = v58 & empty(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | (v59 = 0 & v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_composition(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : (relation(v55) = v60 & relation(v54) = v58 & relation(v53) = v56 & function(v55) = v61 & function(v54) = v59 & function(v53) = v57 & ( ~ (v59 = 0) | ~ (v58 = 0) | ~ (v57 = 0) | ~ (v56 = 0) | (v61 = 0 & v60 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_composition(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : (relation(v55) = v59 & relation(v54) = v57 & empty(v55) = v58 & empty(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | (v59 = 0 & v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_composition(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : (relation(v55) = v58 & relation(v54) = v57 & relation(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_restriction(v54, v53) = v55) | ? [v56] : ? [v57] : ? [v58] : (well_ordering(v55) = v58 & well_ordering(v54) = v57 & relation(v54) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_restriction(v54, v53) = v55) | ? [v56] : ? [v57] : ? [v58] : (reflexive(v55) = v58 & reflexive(v54) = v57 & relation(v54) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_restriction(v54, v53) = v55) | ? [v56] : ? [v57] : ? [v58] : (well_founded_relation(v55) = v58 & well_founded_relation(v54) = v57 & relation(v54) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_restriction(v54, v53) = v55) | ? [v56] : ? [v57] : ? [v58] : (transitive(v55) = v58 & transitive(v54) = v57 & relation(v54) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_restriction(v54, v53) = v55) | ? [v56] : ? [v57] : ? [v58] : (connected(v55) = v58 & connected(v54) = v57 & relation(v54) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_restriction(v54, v53) = v55) | ? [v56] : ? [v57] : ? [v58] : (antisymmetric(v55) = v58 & antisymmetric(v54) = v57 & relation(v54) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_restriction(v53, v54) = v55) | ? [v56] : ? [v57] : (relation(v55) = v57 & relation(v53) = v56 & ( ~ (v56 = 0) | v57 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (well_orders(v53, v54) = v55) | ~ (relation_field(v53) = v54) | ? [v56] : ? [v57] : (well_ordering(v53) = v57 & relation(v53) = v56 & ( ~ (v56 = 0) | (( ~ (v57 = 0) | v55 = 0) & ( ~ (v55 = 0) | v57 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (set_difference(v53, v55) = v53) | ~ (singleton(v54) = v55) | ? [v56] : ( ~ (v56 = 0) & in(v54, v53) = v56)) & ! [v53] : ! [v54] : ! [v55] : ( ~ (set_difference(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : (relation(v55) = v58 & relation(v54) = v57 & relation(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (set_difference(v53, v54) = v55) | ? [v56] : ? [v57] : (finite(v55) = v57 & finite(v53) = v56 & ( ~ (v56 = 0) | v57 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (equipotent(v53, v55) = 0) | ~ (relation_field(v54) = v55) | ? [v56] : ? [v57] : ? [v58] : ((v58 = 0 & v57 = 0 & well_orders(v56, v53) = 0 & relation(v56) = 0) | (well_ordering(v54) = v57 & relation(v54) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (union(v53) = v54) | ~ (in(v55, v54) = 0) | ? [v56] : (in(v56, v53) = 0 & in(v55, v56) = 0)) & ! [v53] : ! [v54] : ! [v55] : ( ~ (is_well_founded_in(v53, v54) = v55) | ~ (relation_field(v53) = v54) | ? [v56] : ? [v57] : (well_founded_relation(v53) = v57 & relation(v53) = v56 & ( ~ (v56 = 0) | (( ~ (v57 = 0) | v55 = 0) & ( ~ (v55 = 0) | v57 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (is_well_founded_in(v53, v54) = v55) | ~ (relation(v53) = 0) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : (well_orders(v53, v54) = v56 & is_reflexive_in(v53, v54) = v57 & is_transitive_in(v53, v54) = v58 & is_connected_in(v53, v54) = v60 & is_antisymmetric_in(v53, v54) = v59 & ( ~ (v56 = 0) | (v60 = 0 & v59 = 0 & v58 = 0 & v57 = 0 & v55 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (disjoint(v55, v54) = 0) | ~ (singleton(v53) = v55) | ? [v56] : ( ~ (v56 = 0) & in(v53, v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : ( ~ (disjoint(v53, v54) = 0) | ~ (in(v55, v53) = 0) | ? [v56] : ( ~ (v56 = 0) & in(v55, v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_of2(v55, v53, v54) = 0) | relation_of2_as_subset(v55, v53, v54) = 0) & ! [v53] : ! [v54] : ! [v55] : ( ~ (is_reflexive_in(v53, v54) = v55) | ~ (relation_field(v53) = v54) | ? [v56] : ? [v57] : (reflexive(v53) = v57 & relation(v53) = v56 & ( ~ (v56 = 0) | (( ~ (v57 = 0) | v55 = 0) & ( ~ (v55 = 0) | v57 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (singleton(v53) = v55) | ~ (subset(v55, v54) = 0) | in(v53, v54) = 0) & ! [v53] : ! [v54] : ! [v55] : ( ~ (singleton(v53) = v54) | ~ (set_union2(v53, v54) = v55) | succ(v53) = v55) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_rng(v53) = v54) | ~ (in(v55, v54) = 0) | ? [v56] : ? [v57] : ? [v58] : ((v58 = 0 & ordered_pair(v56, v55) = v57 & in(v57, v53) = 0) | ( ~ (v56 = 0) & relation(v53) = v56))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (is_transitive_in(v53, v54) = v55) | ~ (relation_field(v53) = v54) | ? [v56] : ? [v57] : (transitive(v53) = v57 & relation(v53) = v56 & ( ~ (v56 = 0) | (( ~ (v57 = 0) | v55 = 0) & ( ~ (v55 = 0) | v57 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (is_connected_in(v53, v54) = v55) | ~ (relation_field(v53) = v54) | ? [v56] : ? [v57] : (connected(v53) = v57 & relation(v53) = v56 & ( ~ (v56 = 0) | (( ~ (v57 = 0) | v55 = 0) & ( ~ (v55 = 0) | v57 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_field(v54) = v55) | ~ (subset(v53, v55) = 0) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : (relation_restriction(v54, v53) = v58 & well_ordering(v54) = v57 & relation_field(v58) = v59 & relation(v54) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | v59 = v53))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_field(v53) = v54) | ~ (is_antisymmetric_in(v53, v54) = v55) | ? [v56] : ? [v57] : (antisymmetric(v53) = v57 & relation(v53) = v56 & ( ~ (v56 = 0) | (( ~ (v57 = 0) | v55 = 0) & ( ~ (v55 = 0) | v57 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_rng_restriction(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : (relation(v55) = v58 & relation(v54) = v56 & function(v55) = v59 & function(v54) = v57 & ( ~ (v57 = 0) | ~ (v56 = 0) | (v59 = 0 & v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_rng_restriction(v53, v54) = v55) | ? [v56] : ? [v57] : (relation(v55) = v57 & relation(v54) = v56 & ( ~ (v56 = 0) | v57 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_dom(v53) = v54) | ~ (relation_image(v53, v54) = v55) | ? [v56] : ? [v57] : (relation_rng(v53) = v57 & relation(v53) = v56 & ( ~ (v56 = 0) | v57 = v55))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_dom(v53) = v54) | ~ (in(v55, v54) = 0) | ? [v56] : ? [v57] : ? [v58] : ((v58 = 0 & ordered_pair(v55, v56) = v57 & in(v57, v53) = 0) | ( ~ (v56 = 0) & relation(v53) = v56))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_image(v54, v53) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : (relation(v54) = v56 & function(v54) = v57 & finite(v55) = v59 & finite(v53) = v58 & ( ~ (v58 = 0) | ~ (v57 = 0) | ~ (v56 = 0) | v59 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_image(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : (relation(v53) = v56 & function(v53) = v57 & finite(v55) = v59 & finite(v54) = v58 & ( ~ (v58 = 0) | ~ (v57 = 0) | ~ (v56 = 0) | v59 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_dom_restriction(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : (relation_empty_yielding(v55) = v59 & relation_empty_yielding(v53) = v57 & relation(v55) = v58 & relation(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | (v59 = 0 & v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_dom_restriction(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : (relation(v55) = v58 & relation(v53) = v56 & function(v55) = v59 & function(v53) = v57 & ( ~ (v57 = 0) | ~ (v56 = 0) | (v59 = 0 & v58 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (relation_dom_restriction(v53, v54) = v55) | ? [v56] : ? [v57] : (relation(v55) = v57 & relation(v53) = v56 & ( ~ (v56 = 0) | v57 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (subset(v55, v53) = 0) | ~ (powerset(v53) = v54) | in(v55, v54) = 0) & ! [v53] : ! [v54] : ! [v55] : ( ~ (subset(v53, v54) = 0) | ~ (in(v55, v53) = 0) | in(v55, v54) = 0) & ! [v53] : ! [v54] : ! [v55] : ( ~ (identity_relation(v53) = v55) | ~ (function(v54) = 0) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : (relation_dom(v54) = v57 & relation(v54) = v56 & ( ~ (v56 = 0) | (( ~ (v57 = v53) | v55 = v54 | (v59 = 0 & ~ (v60 = v58) & apply(v54, v58) = v60 & in(v58, v53) = 0)) & ( ~ (v55 = v54) | (v57 = v53 & ! [v61] : ! [v62] : (v62 = v61 | ~ (apply(v54, v61) = v62) | ? [v63] : ( ~ (v63 = 0) & in(v61, v53) = v63)))))))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (ordered_pair(v53, v54) = v55) | pair_second(v55) = v54) & ! [v53] : ! [v54] : ! [v55] : ( ~ (ordered_pair(v53, v54) = v55) | pair_first(v55) = v53) & ! [v53] : ! [v54] : ! [v55] : ( ~ (ordered_pair(v53, v54) = v55) | ? [v56] : ( ~ (v56 = 0) & empty(v55) = v56)) & ! [v53] : ! [v54] : ! [v55] : ( ~ (ordinal_subset(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : (subset(v53, v54) = v58 & ordinal(v54) = v57 & ordinal(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | (( ~ (v58 = 0) | v55 = 0) & ( ~ (v55 = 0) | v58 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (set_intersection2(v53, v54) = v55) | set_intersection2(v54, v53) = v55) & ! [v53] : ! [v54] : ! [v55] : ( ~ (set_intersection2(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : (relation(v55) = v58 & relation(v54) = v57 & relation(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (set_intersection2(v53, v54) = v55) | ? [v56] : ? [v57] : (finite(v55) = v57 & finite(v54) = v56 & ( ~ (v56 = 0) | v57 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (set_intersection2(v53, v54) = v55) | ? [v56] : ? [v57] : (finite(v55) = v57 & finite(v53) = v56 & ( ~ (v56 = 0) | v57 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (set_union2(v54, v53) = v55) | ? [v56] : ? [v57] : (empty(v55) = v57 & empty(v53) = v56 & ( ~ (v57 = 0) | v56 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (set_union2(v53, v54) = v55) | set_union2(v54, v53) = v55) & ! [v53] : ! [v54] : ! [v55] : ( ~ (set_union2(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : (relation(v55) = v58 & relation(v54) = v57 & relation(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (set_union2(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : (finite(v55) = v58 & finite(v54) = v57 & finite(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (set_union2(v53, v54) = v55) | ? [v56] : ? [v57] : (empty(v55) = v57 & empty(v53) = v56 & ( ~ (v57 = 0) | v56 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (unordered_pair(v53, v54) = v55) | unordered_pair(v54, v53) = v55) & ! [v53] : ! [v54] : ! [v55] : ( ~ (unordered_pair(v53, v54) = v55) | ? [v56] : ( ~ (v56 = 0) & empty(v55) = v56)) & ! [v53] : ! [v54] : ! [v55] : ( ~ (cartesian_product2(v53, v54) = v55) | ? [v56] : ? [v57] : ? [v58] : (empty(v55) = v58 & empty(v54) = v57 & empty(v53) = v56 & ( ~ (v58 = 0) | v57 = 0 | v56 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (cartesian_product2(v53, v54) = v55) | ? [v56] : ( ! [v57] : ! [v58] : ! [v59] : ! [v60] : (v58 = 0 | ~ (ordered_pair(v59, v60) = v57) | ~ (in(v57, v56) = v58) | ~ (in(v57, v55) = 0) | ? [v61] : ? [v62] : (singleton(v59) = v62 & in(v59, v53) = v61 & ( ~ (v62 = v60) | ~ (v61 = 0)))) & ! [v57] : ( ~ (in(v57, v56) = 0) | ? [v58] : ? [v59] : (singleton(v58) = v59 & ordered_pair(v58, v59) = v57 & in(v58, v53) = 0 & in(v57, v55) = 0)))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (cartesian_product2(v53, v54) = v55) | ? [v56] : ( ! [v57] : ! [v58] : ! [v59] : ( ~ (ordered_pair(v58, v59) = v57) | ~ (in(v57, v55) = 0) | ? [v60] : ? [v61] : ((v60 = 0 & in(v57, v56) = 0) | (singleton(v58) = v61 & in(v58, v53) = v60 & ( ~ (v61 = v59) | ~ (v60 = 0))))) & ! [v57] : ! [v58] : (v58 = 0 | ~ (in(v57, v55) = v58) | ? [v59] : ( ~ (v59 = 0) & in(v57, v56) = v59)) & ! [v57] : ! [v58] : ( ~ (in(v57, v55) = v58) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ((v63 = v60 & v62 = 0 & v61 = v57 & singleton(v59) = v60 & ordered_pair(v59, v60) = v57 & in(v59, v53) = 0) | ( ~ (v59 = 0) & in(v57, v56) = v59))))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (powerset(v54) = v55) | ~ (element(v53, v55) = 0) | subset(v53, v54) = 0) & ! [v53] : ! [v54] : ! [v55] : ( ~ (powerset(v53) = v55) | ~ (element(v54, v55) = 0) | ? [v56] : (subset_complement(v53, v54) = v56 & set_difference(v53, v54) = v56)) & ! [v53] : ! [v54] : ! [v55] : ( ~ (empty(v54) = v55) | ~ (empty(v53) = 0) | ? [v56] : (element(v54, v53) = v56 & ( ~ (v56 = 0) | v55 = 0) & ( ~ (v55 = 0) | v56 = 0))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (epsilon_connected(v54) = v55) | ~ (ordinal(v53) = 0) | ? [v56] : ? [v57] : ? [v58] : (element(v54, v53) = v56 & epsilon_transitive(v54) = v57 & ordinal(v54) = v58 & ( ~ (v56 = 0) | (v58 = 0 & v57 = 0 & v55 = 0)))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (element(v54, v53) = v55) | ? [v56] : ? [v57] : (empty(v53) = v56 & in(v54, v53) = v57 & (v56 = 0 | (( ~ (v57 = 0) | v55 = 0) & ( ~ (v55 = 0) | v57 = 0))))) & ! [v53] : ! [v54] : ! [v55] : ( ~ (in(v54, v55) = 0) | ~ (in(v53, v54) = 0) | ? [v56] : ( ~ (v56 = 0) & in(v55, v53) = v56)) & ? [v53] : ! [v54] : ! [v55] : (v55 = v53 | v54 = empty_set | ~ (set_meet(v54) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : (in(v56, v53) = v57 & ( ~ (v57 = 0) | (v59 = 0 & ~ (v60 = 0) & in(v58, v54) = 0 & in(v56, v58) = v60)) & (v57 = 0 | ! [v61] : ! [v62] : (v62 = 0 | ~ (in(v56, v61) = v62) | ? [v63] : ( ~ (v63 = 0) & in(v61, v54) = v63))))) & ? [v53] : ! [v54] : ! [v55] : (v55 = v53 | ~ (union(v54) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : (in(v56, v53) = v57 & ( ~ (v57 = 0) | ! [v61] : ( ~ (in(v56, v61) = 0) | ? [v62] : ( ~ (v62 = 0) & in(v61, v54) = v62))) & (v57 = 0 | (v60 = 0 & v59 = 0 & in(v58, v54) = 0 & in(v56, v58) = 0)))) & ? [v53] : ! [v54] : ! [v55] : (v55 = v53 | ~ (singleton(v54) = v55) | ? [v56] : ? [v57] : (in(v56, v53) = v57 & ( ~ (v57 = 0) | ~ (v56 = v54)) & (v57 = 0 | v56 = v54))) & ? [v53] : ! [v54] : ! [v55] : (v55 = v53 | ~ (relation_rng(v54) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : (( ~ (v56 = 0) & relation(v54) = v56) | (in(v56, v53) = v57 & ( ~ (v57 = 0) | ! [v61] : ! [v62] : ( ~ (ordered_pair(v61, v56) = v62) | ~ (in(v62, v54) = 0))) & (v57 = 0 | (v60 = 0 & ordered_pair(v58, v56) = v59 & in(v59, v54) = 0))))) & ? [v53] : ! [v54] : ! [v55] : (v55 = v53 | ~ (relation_dom(v54) = v55) | ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : (( ~ (v56 = 0) & relation(v54) = v56) | (in(v56, v53) = v57 & ( ~ (v57 = 0) | ! [v61] : ! [v62] : ( ~ (ordered_pair(v56, v61) = v62) | ~ (in(v62, v54) = 0))) & (v57 = 0 | (v60 = 0 & ordered_pair(v56, v58) = v59 & in(v59, v54) = 0))))) & ? [v53] : ! [v54] : ! [v55] : (v55 = v53 | ~ (powerset(v54) = v55) | ? [v56] : ? [v57] : ? [v58] : (subset(v56, v54) = v58 & in(v56, v53) = v57 & ( ~ (v58 = 0) | ~ (v57 = 0)) & (v58 = 0 | v57 = 0))) & ? [v53] : ! [v54] : ! [v55] : ( ~ (succ(v54) = v55) | ? [v56] : (( ~ (v56 = 0) & ordinal(v54) = v56) | ( ! [v57] : ! [v58] : (v58 = 0 | ~ (ordinal(v57) = 0) | ~ (in(v57, v56) = v58) | ~ (in(v57, v55) = 0) | ? [v59] : ( ~ (v59 = 0) & in(v57, v53) = v59)) & ! [v57] : ( ~ (in(v57, v56) = 0) | (ordinal(v57) = 0 & in(v57, v55) = 0 & in(v57, v53) = 0))))) & ? [v53] : ! [v54] : ! [v55] : ( ~ (succ(v54) = v55) | ? [v56] : (( ~ (v56 = 0) & ordinal(v54) = v56) | ( ! [v57] : ! [v58] : (v58 = 0 | ~ (in(v57, v55) = v58) | ? [v59] : ( ~ (v59 = 0) & in(v57, v56) = v59)) & ! [v57] : ! [v58] : ( ~ (in(v57, v55) = v58) | ? [v59] : ? [v60] : ? [v61] : ((v61 = 0 & v60 = 0 & v59 = v57 & ordinal(v57) = 0 & in(v57, v53) = 0) | ( ~ (v59 = 0) & in(v57, v56) = v59))) & ! [v57] : ( ~ (ordinal(v57) = 0) | ~ (in(v57, v55) = 0) | ? [v58] : ((v58 = 0 & in(v57, v56) = 0) | ( ~ (v58 = 0) & in(v57, v53) = v58)))))) & ? [v53] : ! [v54] : ! [v55] : ( ~ (relation(v54) = 0) | ~ (function(v55) = 0) | ? [v56] : ? [v57] : ((v57 = 0 & relation(v56) = 0 & ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ( ~ (apply(v55, v59) = v61) | ~ (apply(v55, v58) = v60) | ~ (ordered_pair(v60, v61) = v62) | ~ (in(v62, v54) = v63) | ? [v64] : ? [v65] : ? [v66] : ? [v67] : (ordered_pair(v58, v59) = v64 & in(v64, v56) = v65 & in(v59, v53) = v67 & in(v58, v53) = v66 & ( ~ (v65 = 0) | (v67 = 0 & v66 = 0 & v63 = 0)))) & ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ( ~ (apply(v55, v59) = v61) | ~ (apply(v55, v58) = v60) | ~ (ordered_pair(v60, v61) = v62) | ~ (in(v62, v54) = 0) | ? [v63] : ? [v64] : ? [v65] : ? [v66] : (ordered_pair(v58, v59) = v65 & in(v65, v56) = v66 & in(v59, v53) = v64 & in(v58, v53) = v63 & ( ~ (v64 = 0) | ~ (v63 = 0) | v66 = 0)))) | ( ~ (v56 = 0) & relation(v55) = v56))) & ! [v53] : ! [v54] : (v54 = v53 | ~ (set_difference(v53, empty_set) = v54)) & ! [v53] : ! [v54] : (v54 = v53 | ~ (union(v53) = v54) | ? [v55] : ( ~ (v55 = 0) & being_limit_ordinal(v53) = v55)) & ! [v53] : ! [v54] : (v54 = v53 | ~ (cast_to_subset(v53) = v54)) & ! [v53] : ! [v54] : (v54 = v53 | ~ (subset(v53, v54) = 0) | ? [v55] : ( ~ (v55 = 0) & subset(v54, v53) = v55)) & ! [v53] : ! [v54] : (v54 = v53 | ~ (set_intersection2(v53, v53) = v54)) & ! [v53] : ! [v54] : (v54 = v53 | ~ (set_union2(v53, v53) = v54)) & ! [v53] : ! [v54] : (v54 = v53 | ~ (set_union2(v53, empty_set) = v54)) & ! [v53] : ! [v54] : (v54 = v53 | ~ (relation(v54) = 0) | ~ (relation(v53) = 0) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : (ordered_pair(v55, v56) = v57 & in(v57, v54) = v59 & in(v57, v53) = v58 & ( ~ (v59 = 0) | ~ (v58 = 0)) & (v59 = 0 | v58 = 0))) & ! [v53] : ! [v54] : (v54 = v53 | ~ (empty(v54) = 0) | ~ (empty(v53) = 0)) & ! [v53] : ! [v54] : (v54 = v53 | ~ (ordinal(v54) = 0) | ~ (ordinal(v53) = 0) | ? [v55] : ? [v56] : (in(v54, v53) = v56 & in(v53, v54) = v55 & (v56 = 0 | v55 = 0))) & ! [v53] : ! [v54] : (v54 = empty_set | ~ (set_difference(empty_set, v53) = v54)) & ! [v53] : ! [v54] : (v54 = empty_set | ~ (set_intersection2(v53, empty_set) = v54)) & ! [v53] : ! [v54] : (v54 = 0 | ~ (one_sorted_str(v53) = v54) | ? [v55] : ( ~ (v55 = 0) & meet_semilatt_str(v53) = v55)) & ! [v53] : ! [v54] : (v54 = 0 | ~ (one_sorted_str(v53) = v54) | ? [v55] : ( ~ (v55 = 0) & join_semilatt_str(v53) = v55)) & ! [v53] : ! [v54] : (v54 = 0 | ~ (being_limit_ordinal(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ((v57 = 0 & v56 = 0 & ~ (v59 = 0) & succ(v55) = v58 & ordinal(v55) = 0 & in(v58, v53) = v59 & in(v55, v53) = 0) | ( ~ (v55 = 0) & ordinal(v53) = v55))) & ! [v53] : ! [v54] : (v54 = 0 | ~ (being_limit_ordinal(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ((v57 = v53 & v56 = 0 & succ(v55) = v53 & ordinal(v55) = 0) | ( ~ (v55 = 0) & ordinal(v53) = v55))) & ! [v53] : ! [v54] : (v54 = 0 | ~ (equipotent(v53, v53) = v54)) & ! [v53] : ! [v54] : (v54 = 0 | ~ (transitive(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ((v61 = 0 & v59 = 0 & ~ (v63 = 0) & ordered_pair(v56, v57) = v60 & ordered_pair(v55, v57) = v62 & ordered_pair(v55, v56) = v58 & in(v62, v53) = v63 & in(v60, v53) = 0 & in(v58, v53) = 0) | ( ~ (v55 = 0) & relation(v53) = v55))) & ! [v53] : ! [v54] : (v54 = 0 | ~ (antisymmetric(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ((v60 = 0 & v58 = 0 & ~ (v56 = v55) & ordered_pair(v56, v55) = v59 & ordered_pair(v55, v56) = v57 & in(v59, v53) = 0 & in(v57, v53) = 0) | ( ~ (v55 = 0) & relation(v53) = v55))) & ! [v53] : ! [v54] : (v54 = 0 | ~ (subset(v53, v53) = v54)) & ! [v53] : ! [v54] : (v54 = 0 | ~ (subset(empty_set, v53) = v54)) & ! [v53] : ! [v54] : (v54 = 0 | ~ (relation(v53) = v54) | ? [v55] : (in(v55, v53) = 0 & ! [v56] : ! [v57] : ~ (ordered_pair(v56, v57) = v55))) & ! [v53] : ! [v54] : (v54 = 0 | ~ (function(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ( ~ (v57 = v56) & ordered_pair(v55, v57) = v59 & ordered_pair(v55, v56) = v58 & in(v59, v53) = 0 & in(v58, v53) = 0)) & ! [v53] : ! [v54] : (v54 = 0 | ~ (preboolean(v53) = v54) | ? [v55] : ? [v56] : (cup_closed(v53) = v55 & diff_closed(v53) = v56 & ( ~ (v56 = 0) | ~ (v55 = 0)))) & ! [v53] : ! [v54] : (v54 = 0 | ~ (finite(v53) = v54) | ? [v55] : ( ~ (v55 = 0) & empty(v53) = v55)) & ! [v53] : ! [v54] : (v54 = 0 | ~ (empty(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ((v58 = v53 & v57 = 0 & v56 = 0 & relation_dom(v55) = v53 & relation(v55) = 0 & function(v55) = 0 & ! [v59] : ! [v60] : ! [v61] : (v61 = 0 | ~ (apply(v55, v59) = v60) | ~ (in(v60, v59) = v61) | ? [v62] : ( ~ (v62 = 0) & in(v59, v53) = v62))) | (v56 = 0 & v55 = empty_set & in(empty_set, v53) = 0))) & ! [v53] : ! [v54] : (v54 = 0 | ~ (empty(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ( ~ (v57 = 0) & powerset(v53) = v55 & finite(v56) = 0 & empty(v56) = v57 & element(v56, v55) = 0)) & ! [v53] : ! [v54] : (v54 = 0 | ~ (empty(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ( ~ (v57 = 0) & powerset(v53) = v55 & empty(v56) = v57 & element(v56, v55) = 0)) & ! [v53] : ! [v54] : (v54 = 0 | ~ (empty(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : (relation_dom(v53) = v56 & relation(v53) = v55 & empty(v56) = v57 & ( ~ (v57 = 0) | ~ (v55 = 0)))) & ! [v53] : ! [v54] : (v54 = 0 | ~ (epsilon_connected(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ( ~ (v58 = 0) & ~ (v57 = 0) & ~ (v56 = v55) & in(v56, v55) = v58 & in(v56, v53) = 0 & in(v55, v56) = v57 & in(v55, v53) = 0)) & ! [v53] : ! [v54] : (v54 = 0 | ~ (epsilon_transitive(v53) = v54) | ? [v55] : ? [v56] : ( ~ (v56 = 0) & subset(v55, v53) = v56 & in(v55, v53) = 0)) & ! [v53] : ! [v54] : (v54 = 0 | ~ (ordinal(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : (subset(v55, v53) = v57 & ordinal(v55) = v56 & in(v55, v53) = 0 & ( ~ (v57 = 0) | ~ (v56 = 0)))) & ! [v53] : ! [v54] : (v53 = empty_set | ~ (relation_rng(v53) = v54) | ? [v55] : ? [v56] : (relation_dom(v53) = v56 & relation(v53) = v55 & ( ~ (v55 = 0) | ( ~ (v56 = empty_set) & ~ (v54 = empty_set))))) & ! [v53] : ! [v54] : (v53 = empty_set | ~ (subset(v53, v54) = 0) | ? [v55] : ? [v56] : ? [v57] : ((v57 = 0 & v56 = 0 & ordinal(v55) = 0 & in(v55, v53) = 0 & ! [v58] : ! [v59] : (v59 = 0 | ~ (ordinal_subset(v55, v58) = v59) | ? [v60] : ? [v61] : (ordinal(v58) = v60 & in(v58, v53) = v61 & ( ~ (v61 = 0) | ~ (v60 = 0))))) | ( ~ (v55 = 0) & ordinal(v54) = v55))) & ! [v53] : ! [v54] : ( ~ (are_equipotent(v53, v54) = 0) | equipotent(v53, v54) = 0) & ! [v53] : ! [v54] : ( ~ (function_inverse(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : (relation_rng(v54) = v61 & relation_rng(v53) = v58 & relation_dom(v54) = v59 & relation_dom(v53) = v60 & one_to_one(v53) = v57 & relation(v53) = v55 & function(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | ~ (v55 = 0) | (v61 = v60 & v59 = v58)))) & ! [v53] : ! [v54] : ( ~ (function_inverse(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : (relation_rng(v53) = v58 & relation_dom(v53) = v59 & one_to_one(v53) = v57 & relation(v53) = v55 & function(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | ~ (v55 = 0) | ! [v60] : ( ~ (function(v60) = 0) | ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : ? [v68] : (relation_dom(v60) = v62 & relation(v60) = v61 & ( ~ (v61 = 0) | (( ~ (v62 = v58) | v60 = v54 | (apply(v60, v63) = v66 & apply(v53, v64) = v68 & in(v64, v59) = v67 & in(v63, v58) = v65 & ((v68 = v63 & v67 = 0 & ( ~ (v66 = v64) | ~ (v65 = 0))) | (v66 = v64 & v65 = 0 & ( ~ (v68 = v63) | ~ (v67 = 0)))))) & ( ~ (v60 = v54) | (v62 = v58 & ! [v69] : ! [v70] : ! [v71] : ( ~ (in(v70, v59) = v71) | ~ (in(v69, v58) = 0) | ? [v72] : ? [v73] : (apply(v54, v69) = v72 & apply(v53, v70) = v73 & ( ~ (v72 = v70) | (v73 = v69 & v71 = 0)))) & ! [v69] : ! [v70] : ! [v71] : ( ~ (in(v70, v59) = 0) | ~ (in(v69, v58) = v71) | ? [v72] : ? [v73] : (apply(v54, v69) = v73 & apply(v53, v70) = v72 & ( ~ (v72 = v69) | (v73 = v70 & v71 = 0))))))))))))) & ! [v53] : ! [v54] : ( ~ (function_inverse(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : (relation_inverse(v53) = v58 & one_to_one(v53) = v57 & relation(v53) = v55 & function(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | ~ (v55 = 0) | v58 = v54))) & ! [v53] : ! [v54] : ( ~ (function_inverse(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : (one_to_one(v54) = v58 & one_to_one(v53) = v57 & relation(v53) = v55 & function(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | ~ (v55 = 0) | v58 = 0))) & ! [v53] : ! [v54] : ( ~ (function_inverse(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : (relation(v54) = v57 & relation(v53) = v55 & function(v54) = v58 & function(v53) = v56 & ( ~ (v56 = 0) | ~ (v55 = 0) | (v58 = 0 & v57 = 0)))) & ! [v53] : ! [v54] : ( ~ (meet_absorbing(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : (latt_str(v53) = v56 & the_carrier(v53) = v57 & empty_carrier(v53) = v55 & ( ~ (v56 = 0) | v55 = 0 | (( ~ (v54 = 0) | ! [v64] : ! [v65] : ! [v66] : ! [v67] : (v67 = v65 | ~ (meet(v53, v64, v65) = v66) | ~ (join(v53, v66, v65) = v67) | ~ (element(v64, v57) = 0) | ? [v68] : ( ~ (v68 = 0) & element(v65, v57) = v68))) & (v54 = 0 | (v61 = 0 & v59 = 0 & ~ (v63 = v60) & meet(v53, v58, v60) = v62 & join(v53, v62, v60) = v63 & element(v60, v57) = 0 & element(v58, v57) = 0)))))) & ! [v53] : ! [v54] : ( ~ (relation_inverse(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : (relation_rng(v54) = v59 & relation_rng(v53) = v56 & relation_dom(v54) = v57 & relation_dom(v53) = v58 & relation(v53) = v55 & ( ~ (v55 = 0) | (v59 = v58 & v57 = v56)))) & ! [v53] : ! [v54] : ( ~ (relation_inverse(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : (one_to_one(v53) = v57 & relation(v54) = v58 & relation(v53) = v55 & function(v54) = v59 & function(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | ~ (v55 = 0) | (v59 = 0 & v58 = 0)))) & ! [v53] : ! [v54] : ( ~ (relation_inverse(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : (relation(v54) = v57 & empty(v54) = v56 & empty(v53) = v55 & ( ~ (v55 = 0) | (v57 = 0 & v56 = 0)))) & ! [v53] : ! [v54] : ( ~ (relation_inverse(v53) = v54) | ? [v55] : ? [v56] : (relation_inverse(v54) = v56 & relation(v53) = v55 & ( ~ (v55 = 0) | v56 = v53))) & ! [v53] : ! [v54] : ( ~ (relation_inverse(v53) = v54) | ? [v55] : ? [v56] : (relation(v54) = v56 & relation(v53) = v55 & ( ~ (v55 = 0) | v56 = 0))) & ! [v53] : ! [v54] : ( ~ (well_orders(v54, v53) = 0) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : (relation_restriction(v54, v53) = v56 & well_ordering(v56) = v58 & relation_field(v56) = v57 & relation(v54) = v55 & ( ~ (v55 = 0) | (v58 = 0 & v57 = v53)))) & ! [v53] : ! [v54] : ( ~ (being_limit_ordinal(v53) = 0) | ~ (succ(v54) = v53) | ? [v55] : (( ~ (v55 = 0) & ordinal(v54) = v55) | ( ~ (v55 = 0) & ordinal(v53) = v55))) & ! [v53] : ! [v54] : ( ~ (set_difference(v53, v54) = empty_set) | subset(v53, v54) = 0) & ! [v53] : ! [v54] : ( ~ (equipotent(v53, v54) = 0) | equipotent(v54, v53) = 0) & ! [v53] : ! [v54] : ( ~ (equipotent(v53, v54) = 0) | ? [v55] : (relation_rng(v55) = v54 & relation_dom(v55) = v53 & one_to_one(v55) = 0 & relation(v55) = 0 & function(v55) = 0)) & ! [v53] : ! [v54] : ( ~ (reflexive(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : (relation_field(v53) = v56 & relation(v53) = v55 & ( ~ (v55 = 0) | (( ~ (v54 = 0) | ! [v61] : ( ~ (in(v61, v56) = 0) | ? [v62] : (ordered_pair(v61, v61) = v62 & in(v62, v53) = 0))) & (v54 = 0 | (v58 = 0 & ~ (v60 = 0) & ordered_pair(v57, v57) = v59 & in(v59, v53) = v60 & in(v57, v56) = 0)))))) & ! [v53] : ! [v54] : ( ~ (union(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : (epsilon_connected(v54) = v57 & epsilon_transitive(v54) = v56 & ordinal(v54) = v58 & ordinal(v53) = v55 & ( ~ (v55 = 0) | (v58 = 0 & v57 = 0 & v56 = 0)))) & ! [v53] : ! [v54] : ( ~ (is_well_founded_in(v53, v54) = 0) | ~ (relation(v53) = 0) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : (well_orders(v53, v54) = v59 & is_reflexive_in(v53, v54) = v55 & is_transitive_in(v53, v54) = v56 & is_connected_in(v53, v54) = v58 & is_antisymmetric_in(v53, v54) = v57 & ( ~ (v58 = 0) | ~ (v57 = 0) | ~ (v56 = 0) | ~ (v55 = 0) | v59 = 0))) & ! [v53] : ! [v54] : ( ~ (well_founded_relation(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : (well_ordering(v53) = v56 & reflexive(v53) = v57 & transitive(v53) = v58 & connected(v53) = v60 & antisymmetric(v53) = v59 & relation(v53) = v55 & ( ~ (v55 = 0) | (( ~ (v60 = 0) | ~ (v59 = 0) | ~ (v58 = 0) | ~ (v57 = 0) | ~ (v54 = 0) | v56 = 0) & ( ~ (v56 = 0) | (v60 = 0 & v59 = 0 & v58 = 0 & v57 = 0 & v54 = 0)))))) & ! [v53] : ! [v54] : ( ~ (well_founded_relation(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : (reflexive(v53) = v56 & transitive(v53) = v57 & connected(v53) = v58 & antisymmetric(v53) = v59 & relation(v53) = v55 & ( ~ (v55 = 0) | ! [v60] : ! [v61] : ( ~ (well_founded_relation(v60) = v61) | ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : (reflexive(v60) = v63 & transitive(v60) = v64 & connected(v60) = v65 & antisymmetric(v60) = v66 & relation(v60) = v62 & ( ~ (v62 = 0) | ( ! [v67] : ( ~ (v59 = 0) | v66 = 0 | ~ (relation_isomorphism(v53, v60, v67) = 0) | ? [v68] : ? [v69] : (relation(v67) = v68 & function(v67) = v69 & ( ~ (v69 = 0) | ~ (v68 = 0)))) & ! [v67] : ( ~ (v58 = 0) | v65 = 0 | ~ (relation_isomorphism(v53, v60, v67) = 0) | ? [v68] : ? [v69] : (relation(v67) = v68 & function(v67) = v69 & ( ~ (v69 = 0) | ~ (v68 = 0)))) & ! [v67] : ( ~ (v57 = 0) | v64 = 0 | ~ (relation_isomorphism(v53, v60, v67) = 0) | ? [v68] : ? [v69] : (relation(v67) = v68 & function(v67) = v69 & ( ~ (v69 = 0) | ~ (v68 = 0)))) & ! [v67] : ( ~ (v56 = 0) | v63 = 0 | ~ (relation_isomorphism(v53, v60, v67) = 0) | ? [v68] : ? [v69] : (relation(v67) = v68 & function(v67) = v69 & ( ~ (v69 = 0) | ~ (v68 = 0)))) & ! [v67] : ( ~ (v54 = 0) | v61 = 0 | ~ (relation_isomorphism(v53, v60, v67) = 0) | ? [v68] : ? [v69] : (relation(v67) = v68 & function(v67) = v69 & ( ~ (v69 = 0) | ~ (v68 = 0))))))))))) & ! [v53] : ! [v54] : ( ~ (well_founded_relation(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : (relation_field(v53) = v56 & relation(v53) = v55 & ( ~ (v55 = 0) | (( ~ (v54 = 0) | ! [v59] : (v59 = empty_set | ~ (subset(v59, v56) = 0) | ? [v60] : ? [v61] : (disjoint(v61, v59) = 0 & fiber(v53, v60) = v61 & in(v60, v59) = 0))) & (v54 = 0 | (v58 = 0 & ~ (v57 = empty_set) & subset(v57, v56) = 0 & ! [v59] : ! [v60] : ( ~ (disjoint(v60, v57) = 0) | ~ (fiber(v53, v59) = v60) | ? [v61] : ( ~ (v61 = 0) & in(v59, v57) = v61)))))))) & ! [v53] : ! [v54] : ( ~ (disjoint(v53, v54) = 0) | set_difference(v53, v54) = v53) & ! [v53] : ! [v54] : ( ~ (disjoint(v53, v54) = 0) | disjoint(v54, v53) = 0) & ! [v53] : ! [v54] : ( ~ (disjoint(v53, v54) = 0) | set_intersection2(v53, v54) = empty_set) & ! [v53] : ! [v54] : ( ~ (disjoint(v53, v54) = 0) | ? [v55] : (set_intersection2(v53, v54) = v55 & ! [v56] : ~ (in(v56, v55) = 0))) & ! [v53] : ! [v54] : ( ~ (the_L_meet(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : (meet_semilatt_str(v53) = v56 & the_carrier(v53) = v57 & empty_carrier(v53) = v55 & ( ~ (v56 = 0) | v55 = 0 | ! [v58] : ! [v59] : ! [v60] : ( ~ (apply_binary_as_element(v57, v57, v57, v54, v58, v59) = v60) | ~ (element(v58, v57) = 0) | ? [v61] : ? [v62] : (meet(v53, v58, v59) = v62 & element(v59, v57) = v61 & ( ~ (v61 = 0) | v62 = v60)))))) & ! [v53] : ! [v54] : ( ~ (inclusion_relation(v53) = v54) | reflexive(v54) = 0) & ! [v53] : ! [v54] : ( ~ (inclusion_relation(v53) = v54) | transitive(v54) = 0) & ! [v53] : ! [v54] : ( ~ (inclusion_relation(v53) = v54) | antisymmetric(v54) = 0) & ! [v53] : ! [v54] : ( ~ (inclusion_relation(v53) = v54) | relation(v54) = 0) & ! [v53] : ! [v54] : ( ~ (inclusion_relation(v53) = v54) | ? [v55] : ? [v56] : (well_ordering(v54) = v56 & ordinal(v53) = v55 & ( ~ (v55 = 0) | v56 = 0))) & ! [v53] : ! [v54] : ( ~ (inclusion_relation(v53) = v54) | ? [v55] : ? [v56] : (well_founded_relation(v54) = v56 & ordinal(v53) = v55 & ( ~ (v55 = 0) | v56 = 0))) & ! [v53] : ! [v54] : ( ~ (inclusion_relation(v53) = v54) | ? [v55] : ? [v56] : (connected(v54) = v56 & ordinal(v53) = v55 & ( ~ (v55 = 0) | v56 = 0))) & ! [v53] : ! [v54] : ( ~ (singleton(v53) = v54) | finite(v54) = 0) & ! [v53] : ! [v54] : ( ~ (singleton(v53) = v54) | ? [v55] : ( ~ (v55 = 0) & empty(v54) = v55)) & ! [v53] : ! [v54] : ( ~ (succ(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : (empty(v54) = v56 & epsilon_connected(v54) = v58 & epsilon_transitive(v54) = v57 & ordinal(v54) = v59 & ordinal(v53) = v55 & ( ~ (v55 = 0) | (v59 = 0 & v58 = 0 & v57 = 0 & ~ (v56 = 0))))) & ! [v53] : ! [v54] : ( ~ (succ(v53) = v54) | ? [v55] : ( ~ (v55 = 0) & empty(v54) = v55)) & ! [v53] : ! [v54] : ( ~ (succ(v53) = v54) | ? [v55] : (( ~ (v55 = 0) & ordinal(v53) = v55) | ( ! [v56] : ! [v57] : ! [v58] : (v57 = 0 | ~ (in(v56, v55) = v57) | ~ (in(v56, v54) = 0) | ~ (in(v56, omega) = v58) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : (powerset(v60) = v61 & powerset(v56) = v60 & ordinal(v56) = v59 & ( ~ (v59 = 0) | (v63 = 0 & v58 = 0 & ~ (v62 = empty_set) & element(v62, v61) = 0 & ! [v64] : ( ~ (in(v64, v62) = 0) | ? [v65] : ( ~ (v65 = v64) & subset(v64, v65) = 0 & in(v65, v62) = 0)))))) & ! [v56] : ( ~ (in(v56, v55) = 0) | ? [v57] : ? [v58] : ? [v59] : (powerset(v58) = v59 & powerset(v56) = v58 & ordinal(v56) = 0 & in(v56, v54) = 0 & in(v56, omega) = v57 & ( ~ (v57 = 0) | ! [v60] : (v60 = empty_set | ~ (element(v60, v59) = 0) | ? [v61] : (in(v61, v60) = 0 & ! [v62] : (v62 = v61 | ~ (subset(v61, v62) = 0) | ? [v63] : ( ~ (v63 = 0) & in(v62, v60) = v63)))))))))) & ! [v53] : ! [v54] : ( ~ (succ(v53) = v54) | ? [v55] : (( ~ (v55 = 0) & ordinal(v53) = v55) | ( ! [v56] : ! [v57] : (v57 = 0 | ~ (in(v56, v54) = v57) | ? [v58] : ( ~ (v58 = 0) & in(v56, v55) = v58)) & ! [v56] : ! [v57] : ( ~ (in(v56, v54) = v57) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ((v59 = 0 & v58 = v56 & powerset(v61) = v62 & powerset(v56) = v61 & ordinal(v56) = 0 & in(v56, omega) = v60 & ( ~ (v60 = 0) | ! [v63] : (v63 = empty_set | ~ (element(v63, v62) = 0) | ? [v64] : (in(v64, v63) = 0 & ! [v65] : (v65 = v64 | ~ (subset(v64, v65) = 0) | ? [v66] : ( ~ (v66 = 0) & in(v65, v63) = v66)))))) | ( ~ (v58 = 0) & in(v56, v55) = v58))) & ! [v56] : ! [v57] : ( ~ (in(v56, v54) = 0) | ~ (in(v56, omega) = v57) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ((v58 = 0 & in(v56, v55) = 0) | (powerset(v59) = v60 & powerset(v56) = v59 & ordinal(v56) = v58 & ( ~ (v58 = 0) | (v62 = 0 & v57 = 0 & ~ (v61 = empty_set) & element(v61, v60) = 0 & ! [v63] : ( ~ (in(v63, v61) = 0) | ? [v64] : ( ~ (v64 = v63) & subset(v63, v64) = 0 & in(v64, v61) = 0)))))))))) & ! [v53] : ! [v54] : ( ~ (the_L_join(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : (the_carrier(v53) = v57 & empty_carrier(v53) = v55 & join_semilatt_str(v53) = v56 & ( ~ (v56 = 0) | v55 = 0 | ! [v58] : ! [v59] : ! [v60] : ( ~ (apply_binary_as_element(v57, v57, v57, v54, v58, v59) = v60) | ~ (element(v58, v57) = 0) | ? [v61] : ? [v62] : (join(v53, v58, v59) = v62 & element(v59, v57) = v61 & ( ~ (v61 = 0) | v62 = v60)))))) & ! [v53] : ! [v54] : ( ~ (relation_rng(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : (relation_dom(v53) = v57 & relation(v53) = v55 & function(v53) = v56 & finite(v57) = v58 & finite(v54) = v59 & ( ~ (v58 = 0) | ~ (v56 = 0) | ~ (v55 = 0) | v59 = 0))) & ! [v53] : ! [v54] : ( ~ (relation_rng(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : (relation_dom(v53) = v57 & relation(v53) = v55 & function(v53) = v56 & ( ~ (v56 = 0) | ~ (v55 = 0) | ( ! [v58] : ! [v59] : ! [v60] : (v59 = 0 | ~ (in(v60, v57) = 0) | ~ (in(v58, v54) = v59) | ? [v61] : ( ~ (v61 = v58) & apply(v53, v60) = v61)) & ! [v58] : ( ~ (in(v58, v54) = 0) | ? [v59] : (apply(v53, v59) = v58 & in(v59, v57) = 0)) & ? [v58] : (v58 = v54 | ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : (in(v59, v58) = v60 & ( ~ (v60 = 0) | ! [v64] : ( ~ (in(v64, v57) = 0) | ? [v65] : ( ~ (v65 = v59) & apply(v53, v64) = v65))) & (v60 = 0 | (v63 = v59 & v62 = 0 & apply(v53, v61) = v59 & in(v61, v57) = 0)))))))) & ! [v53] : ! [v54] : ( ~ (relation_rng(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : (relation(v54) = v57 & empty(v54) = v56 & empty(v53) = v55 & ( ~ (v55 = 0) | (v57 = 0 & v56 = 0)))) & ! [v53] : ! [v54] : ( ~ (relation_rng(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : (relation(v53) = v56 & empty(v54) = v57 & empty(v53) = v55 & ( ~ (v57 = 0) | ~ (v56 = 0) | v55 = 0))) & ! [v53] : ! [v54] : ( ~ (relation_rng(v53) = v54) | ? [v55] : ? [v56] : (relation_dom(v53) = v56 & relation(v53) = v55 & ( ~ (v55 = 0) | ! [v57] : ! [v58] : ! [v59] : ( ~ (relation_rng(v57) = v58) | ~ (subset(v54, v58) = v59) | ? [v60] : ? [v61] : ? [v62] : ? [v63] : (relation_dom(v57) = v62 & subset(v56, v62) = v63 & subset(v53, v57) = v61 & relation(v57) = v60 & ( ~ (v61 = 0) | ~ (v60 = 0) | (v63 = 0 & v59 = 0))))))) & ! [v53] : ! [v54] : ( ~ (relation_rng(v53) = v54) | ? [v55] : ? [v56] : (relation_dom(v53) = v56 & relation(v53) = v55 & ( ~ (v55 = 0) | ! [v57] : ! [v58] : ( ~ (relation_rng(v57) = v58) | ~ (subset(v56, v58) = 0) | ? [v59] : ? [v60] : ? [v61] : (relation_composition(v57, v53) = v60 & relation_rng(v60) = v61 & relation(v57) = v59 & ( ~ (v59 = 0) | v61 = v54)))))) & ! [v53] : ! [v54] : ( ~ (relation_rng(v53) = v54) | ? [v55] : ? [v56] : (relation_dom(v53) = v56 & relation(v53) = v55 & ( ~ (v55 = 0) | ! [v57] : ! [v58] : ( ~ (relation_dom(v57) = v58) | ~ (subset(v54, v58) = 0) | ? [v59] : ? [v60] : ? [v61] : (relation_composition(v53, v57) = v60 & relation_dom(v60) = v61 & relation(v57) = v59 & ( ~ (v59 = 0) | v61 = v56)))))) & ! [v53] : ! [v54] : ( ~ (relation_rng(v53) = v54) | ? [v55] : ? [v56] : (relation_dom(v53) = v56 & relation(v53) = v55 & ( ~ (v55 = 0) | (( ~ (v56 = empty_set) | v54 = empty_set) & ( ~ (v54 = empty_set) | v56 = empty_set))))) & ! [v53] : ! [v54] : ( ~ (connected(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : (relation_field(v53) = v56 & relation(v53) = v55 & ( ~ (v55 = 0) | (( ~ (v54 = 0) | ! [v65] : ! [v66] : (v66 = v65 | ~ (in(v66, v56) = 0) | ~ (in(v65, v56) = 0) | ? [v67] : ? [v68] : ? [v69] : ? [v70] : (ordered_pair(v66, v65) = v69 & ordered_pair(v65, v66) = v67 & in(v69, v53) = v70 & in(v67, v53) = v68 & (v70 = 0 | v68 = 0)))) & (v54 = 0 | (v60 = 0 & v59 = 0 & ~ (v64 = 0) & ~ (v62 = 0) & ~ (v58 = v57) & ordered_pair(v58, v57) = v63 & ordered_pair(v57, v58) = v61 & in(v63, v53) = v64 & in(v61, v53) = v62 & in(v58, v56) = 0 & in(v57, v56) = 0)))))) & ! [v53] : ! [v54] : ( ~ (identity_relation(v53) = v54) | relation_rng(v54) = v53) & ! [v53] : ! [v54] : ( ~ (identity_relation(v53) = v54) | relation_dom(v54) = v53) & ! [v53] : ! [v54] : ( ~ (identity_relation(v53) = v54) | relation(v54) = 0) & ! [v53] : ! [v54] : ( ~ (identity_relation(v53) = v54) | function(v54) = 0) & ! [v53] : ! [v54] : ( ~ (unordered_pair(v53, v53) = v54) | singleton(v53) = v54) & ! [v53] : ! [v54] : ( ~ (one_to_one(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : (relation_dom(v53) = v57 & relation(v53) = v55 & function(v53) = v56 & ( ~ (v56 = 0) | ~ (v55 = 0) | (( ~ (v54 = 0) | ! [v64] : ! [v65] : (v65 = v64 | ~ (in(v65, v57) = 0) | ~ (in(v64, v57) = 0) | ? [v66] : ? [v67] : ( ~ (v67 = v66) & apply(v53, v65) = v67 & apply(v53, v64) = v66))) & (v54 = 0 | (v63 = v62 & v61 = 0 & v60 = 0 & ~ (v59 = v58) & apply(v53, v59) = v62 & apply(v53, v58) = v62 & in(v59, v57) = 0 & in(v58, v57) = 0)))))) & ! [v53] : ! [v54] : ( ~ (one_to_one(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : (relation(v53) = v55 & function(v53) = v57 & empty(v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0) | ~ (v55 = 0) | v54 = 0))) & ! [v53] : ! [v54] : ( ~ (natural(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : ? [v58] : (empty(v53) = v55 & epsilon_connected(v53) = v58 & epsilon_transitive(v53) = v57 & ordinal(v53) = v56 & ( ~ (v56 = 0) | ~ (v55 = 0) | (v58 = 0 & v57 = 0 & v54 = 0)))) & ! [v53] : ! [v54] : ( ~ (powerset(v53) = v54) | union(v54) = v53) & ! [v53] : ! [v54] : ( ~ (powerset(v53) = v54) | preboolean(v54) = 0) & ! [v53] : ! [v54] : ( ~ (powerset(v53) = v54) | cup_closed(v54) = 0) & ! [v53] : ! [v54] : ( ~ (powerset(v53) = v54) | diff_closed(v54) = 0) & ! [v53] : ! [v54] : ( ~ (powerset(v53) = v54) | ? [v55] : ( ~ (v55 = 0) & empty(v54) = v55)) & ! [v53] : ! [v54] : ( ~ (powerset(v53) = v54) | ? [v55] : (one_to_one(v55) = 0 & natural(v55) = 0 & relation(v55) = 0 & function(v55) = 0 & finite(v55) = 0 & empty(v55) = 0 & epsilon_connected(v55) = 0 & element(v55, v54) = 0 & epsilon_transitive(v55) = 0 & ordinal(v55) = 0)) & ! [v53] : ! [v54] : ( ~ (powerset(v53) = v54) | ? [v55] : (empty(v55) = 0 & element(v55, v54) = 0)) & ! [v53] : ! [v54] : ( ~ (relation(v53) = 0) | ~ (in(v54, v53) = 0) | ? [v55] : ? [v56] : ordered_pair(v55, v56) = v54) & ! [v53] : ! [v54] : ( ~ (epsilon_connected(v53) = v54) | ? [v55] : ? [v56] : ? [v57] : (empty(v53) = v55 & epsilon_transitive(v53) = v56 & ordinal(v53) = v57 & ( ~ (v55 = 0) | (v57 = 0 & v56 = 0 & v54 = 0)))) & ! [v53] : ! [v54] : ( ~ (epsilon_connected(v53) = v54) | ? [v55] : ? [v56] : (epsilon_transitive(v53) = v56 & ordinal(v53) = v55 & ( ~ (v55 = 0) | (v56 = 0 & v54 = 0)))) & ! [v53] : ! [v54] : ( ~ (element(v53, v54) = 0) | ? [v55] : ? [v56] : (empty(v54) = v55 & in(v53, v54) = v56 & (v56 = 0 | v55 = 0))) & ! [v53] : ! [v54] : ( ~ (epsilon_transitive(v53) = 0) | ~ (proper_subset(v53, v54) = 0) | ? [v55] : ? [v56] : (ordinal(v54) = v55 & in(v53, v54) = v56 & ( ~ (v55 = 0) | v56 = 0))) & ! [v53] : ! [v54] : ( ~ (proper_subset(v54, v53) = 0) | ? [v55] : ( ~ (v55 = 0) & subset(v53, v54) = v55)) & ! [v53] : ! [v54] : ( ~ (proper_subset(v53, v54) = 0) | subset(v53, v54) = 0) & ! [v53] : ! [v54] : ( ~ (proper_subset(v53, v54) = 0) | ? [v55] : ( ~ (v55 = 0) & proper_subset(v54, v53) = v55)) & ! [v53] : ! [v54] : ( ~ (in(v53, v54) = 0) | ? [v55] : ( ~ (v55 = 0) & empty(v54) = v55)) & ! [v53] : ! [v54] : ( ~ (in(v53, v54) = 0) | ? [v55] : ( ~ (v55 = 0) & in(v54, v53) = v55)) & ! [v53] : ! [v54] : ( ~ (in(v53, v54) = 0) | ? [v55] : (in(v55, v54) = 0 & ! [v56] : ( ~ (in(v56, v54) = 0) | ? [v57] : ( ~ (v57 = 0) & in(v56, v55) = v57)))) & ? [v53] : ! [v54] : ( ~ (function(v54) = 0) | ? [v55] : ? [v56] : (relation_dom(v54) = v56 & relation(v54) = v55 & ( ~ (v55 = 0) | ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (relation_composition(v57, v54) = v58) | ~ (relation_dom(v58) = v59) | ~ (in(v53, v59) = v60) | ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : (relation_dom(v57) = v63 & apply(v57, v53) = v65 & relation(v57) = v61 & function(v57) = v62 & in(v65, v56) = v66 & in(v53, v63) = v64 & ( ~ (v62 = 0) | ~ (v61 = 0) | (( ~ (v66 = 0) | ~ (v64 = 0) | v60 = 0) & ( ~ (v60 = 0) | (v66 = 0 & v64 = 0))))))))) & ? [v53] : ! [v54] : ( ~ (function(v54) = 0) | ? [v55] : ? [v56] : (relation_dom(v54) = v56 & relation(v54) = v55 & ( ~ (v55 = 0) | ! [v57] : ! [v58] : ! [v59] : ( ~ (relation_dom(v57) = v58) | ~ (set_intersection2(v58, v53) = v59) | ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : (relation_dom_restriction(v57, v53) = v62 & relation(v57) = v60 & function(v57) = v61 & ( ~ (v61 = 0) | ~ (v60 = 0) | (( ~ (v62 = v54) | (v59 = v56 & ! [v67] : ( ~ (in(v67, v56) = 0) | ? [v68] : (apply(v57, v67) = v68 & apply(v54, v67) = v68)))) & ( ~ (v59 = v56) | v62 = v54 | (v64 = 0 & ~ (v66 = v65) & apply(v57, v63) = v66 & apply(v54, v63) = v65 & in(v63, v56) = 0))))))))) & ? [v53] : ! [v54] : ( ~ (ordinal(v54) = 0) | ? [v55] : ? [v56] : ? [v57] : ((v57 = 0 & v56 = 0 & ordinal(v55) = 0 & in(v55, v53) = 0 & ! [v58] : ! [v59] : (v59 = 0 | ~ (ordinal_subset(v55, v58) = v59) | ? [v60] : ? [v61] : (ordinal(v58) = v60 & in(v58, v53) = v61 & ( ~ (v61 = 0) | ~ (v60 = 0))))) | ( ~ (v55 = 0) & in(v54, v53) = v55))) & ! [v53] : (v53 = empty_set | ~ (set_meet(empty_set) = v53)) & ! [v53] : (v53 = empty_set | ~ (subset(v53, empty_set) = 0)) & ! [v53] : (v53 = empty_set | ~ (relation(v53) = 0) | ? [v54] : ? [v55] : ? [v56] : (ordered_pair(v54, v55) = v56 & in(v56, v53) = 0)) & ! [v53] : (v53 = empty_set | ~ (empty(v53) = 0)) & ! [v53] : (v53 = omega | ~ (in(empty_set, v53) = 0) | ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ((v57 = 0 & v56 = 0 & v55 = 0 & ~ (v58 = 0) & being_limit_ordinal(v54) = 0 & subset(v53, v54) = v58 & ordinal(v54) = 0 & in(empty_set, v54) = 0) | (being_limit_ordinal(v53) = v54 & ordinal(v53) = v55 & ( ~ (v55 = 0) | ~ (v54 = 0))))) & ! [v53] : ( ~ (one_sorted_str(v53) = 0) | ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : (the_carrier(v53) = v55 & empty_carrier(v53) = v54 & powerset(v55) = v56 & (v54 = 0 | (v58 = 0 & ~ (v59 = 0) & empty(v57) = v59 & element(v57, v56) = 0)))) & ! [v53] : ( ~ (one_sorted_str(v53) = 0) | ? [v54] : ? [v55] : ? [v56] : (the_carrier(v53) = v55 & empty_carrier(v53) = v54 & empty(v55) = v56 & ( ~ (v56 = 0) | v54 = 0))) & ! [v53] : ( ~ (meet_absorbing(v53) = 0) | ? [v54] : ? [v55] : ? [v56] : ? [v57] : (latt_str(v53) = v56 & meet_commutative(v53) = v55 & the_carrier(v53) = v57 & empty_carrier(v53) = v54 & ( ~ (v56 = 0) | ~ (v55 = 0) | v54 = 0 | ! [v58] : ! [v59] : ! [v60] : ! [v61] : (v61 = 0 | ~ (below(v53, v60, v58) = v61) | ~ (meet_commut(v53, v58, v59) = v60) | ~ (element(v58, v57) = 0) | ? [v62] : ( ~ (v62 = 0) & element(v59, v57) = v62))))) & ! [v53] : ( ~ (latt_str(v53) = 0) | (meet_semilatt_str(v53) = 0 & join_semilatt_str(v53) = 0)) & ! [v53] : ( ~ (union(v53) = v53) | being_limit_ordinal(v53) = 0) & ! [v53] : ~ (singleton(v53) = empty_set) & ! [v53] : ( ~ (join_semilatt_str(v53) = 0) | ? [v54] : ? [v55] : (the_carrier(v53) = v55 & empty_carrier(v53) = v54 & (v54 = 0 | ! [v56] : ! [v57] : ( ~ (element(v57, v55) = 0) | ~ (element(v56, v55) = 0) | ? [v58] : ? [v59] : (below(v53, v56, v57) = v58 & join(v53, v56, v57) = v59 & ( ~ (v59 = v57) | v58 = 0) & ( ~ (v58 = 0) | v59 = v57)))))) & ! [v53] : ( ~ (natural(v53) = 0) | ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : (succ(v53) = v55 & natural(v55) = v60 & empty(v55) = v56 & epsilon_connected(v55) = v58 & epsilon_transitive(v55) = v57 & ordinal(v55) = v59 & ordinal(v53) = v54 & ( ~ (v54 = 0) | (v60 = 0 & v59 = 0 & v58 = 0 & v57 = 0 & ~ (v56 = 0))))) & ! [v53] : ( ~ (function(v53) = 0) | ? [v54] : ? [v55] : (relation_dom(v53) = v55 & relation(v53) = v54 & ( ~ (v54 = 0) | ( ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : (v59 = 0 | ~ (relation_image(v53, v56) = v57) | ~ (in(v60, v55) = 0) | ~ (in(v58, v57) = v59) | ? [v61] : ? [v62] : (apply(v53, v60) = v62 & in(v60, v56) = v61 & ( ~ (v62 = v58) | ~ (v61 = 0)))) & ! [v56] : ! [v57] : ! [v58] : ( ~ (relation_image(v53, v56) = v57) | ~ (in(v58, v57) = 0) | ? [v59] : (apply(v53, v59) = v58 & in(v59, v56) = 0 & in(v59, v55) = 0)) & ? [v56] : ! [v57] : ! [v58] : (v58 = v56 | ~ (relation_image(v53, v57) = v58) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : (in(v59, v56) = v60 & ( ~ (v60 = 0) | ! [v65] : ( ~ (in(v65, v55) = 0) | ? [v66] : ? [v67] : (apply(v53, v65) = v67 & in(v65, v57) = v66 & ( ~ (v67 = v59) | ~ (v66 = 0))))) & (v60 = 0 | (v64 = v59 & v63 = 0 & v62 = 0 & apply(v53, v61) = v59 & in(v61, v57) = 0 & in(v61, v55) = 0)))))))) & ! [v53] : ( ~ (function(v53) = 0) | ? [v54] : ? [v55] : (relation_dom(v53) = v55 & relation(v53) = v54 & ( ~ (v54 = 0) | ( ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (relation_inverse_image(v53, v56) = v57) | ~ (apply(v53, v58) = v59) | ~ (in(v59, v56) = v60) | ? [v61] : ? [v62] : (in(v58, v57) = v61 & in(v58, v55) = v62 & ( ~ (v61 = 0) | (v62 = 0 & v60 = 0)))) & ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (relation_inverse_image(v53, v56) = v57) | ~ (apply(v53, v58) = v59) | ~ (in(v59, v56) = 0) | ? [v60] : ? [v61] : (in(v58, v57) = v61 & in(v58, v55) = v60 & ( ~ (v60 = 0) | v61 = 0))) & ? [v56] : ! [v57] : ! [v58] : (v58 = v56 | ~ (relation_inverse_image(v53, v57) = v58) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : (apply(v53, v59) = v62 & in(v62, v57) = v63 & in(v59, v56) = v60 & in(v59, v55) = v61 & ( ~ (v63 = 0) | ~ (v61 = 0) | ~ (v60 = 0)) & (v60 = 0 | (v63 = 0 & v61 = 0)))))))) & ! [v53] : ( ~ (function(v53) = 0) | ? [v54] : ? [v55] : (relation_dom(v53) = v55 & relation(v53) = v54 & ( ~ (v54 = 0) | ( ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (ordered_pair(v56, v57) = v58) | ~ (in(v58, v53) = v59) | ? [v60] : ? [v61] : (apply(v53, v56) = v61 & in(v56, v55) = v60 & ( ~ (v60 = 0) | (( ~ (v61 = v57) | v59 = 0) & ( ~ (v59 = 0) | v61 = v57))))) & ? [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (in(v57, v55) = v58) | ? [v59] : (apply(v53, v57) = v59 & ( ~ (v59 = v56) | v56 = empty_set) & ( ~ (v56 = empty_set) | v59 = empty_set))))))) & ! [v53] : ( ~ (preboolean(v53) = 0) | (cup_closed(v53) = 0 & diff_closed(v53) = 0)) & ! [v53] : ( ~ (finite(v53) = 0) | ? [v54] : ? [v55] : (relation_rng(v54) = v53 & relation_dom(v54) = v55 & relation(v54) = 0 & function(v54) = 0 & in(v55, omega) = 0)) & ! [v53] : ( ~ (finite(v53) = 0) | ? [v54] : ? [v55] : (powerset(v54) = v55 & powerset(v53) = v54 & ! [v56] : (v56 = empty_set | ~ (element(v56, v55) = 0) | ? [v57] : (in(v57, v56) = 0 & ! [v58] : (v58 = v57 | ~ (subset(v57, v58) = 0) | ? [v59] : ( ~ (v59 = 0) & in(v58, v56) = v59)))))) & ! [v53] : ( ~ (finite(v53) = 0) | ? [v54] : (powerset(v53) = v54 & ! [v55] : ( ~ (element(v55, v54) = 0) | finite(v55) = 0))) & ! [v53] : ( ~ (empty(v53) = 0) | relation(v53) = 0) & ! [v53] : ( ~ (empty(v53) = 0) | function(v53) = 0) & ! [v53] : ( ~ (empty(v53) = 0) | ? [v54] : (relation_dom(v53) = v54 & relation(v54) = 0 & empty(v54) = 0)) & ! [v53] : ( ~ (epsilon_connected(v53) = 0) | ? [v54] : ? [v55] : (epsilon_transitive(v53) = v54 & ordinal(v53) = v55 & ( ~ (v54 = 0) | v55 = 0))) & ! [v53] : ( ~ (element(v53, omega) = 0) | (natural(v53) = 0 & epsilon_connected(v53) = 0 & epsilon_transitive(v53) = 0 & ordinal(v53) = 0)) & ! [v53] : ~ (proper_subset(v53, v53) = 0) & ! [v53] : ~ (in(v53, empty_set) = 0) & ! [v53] : ( ~ (in(empty_set, v53) = 0) | ? [v54] : ? [v55] : ? [v56] : (being_limit_ordinal(v53) = v55 & subset(omega, v53) = v56 & ordinal(v53) = v54 & ( ~ (v55 = 0) | ~ (v54 = 0) | v56 = 0))) & ? [v53] : ? [v54] : ? [v55] : relation_of2(v55, v53, v54) = 0 & ? [v53] : ? [v54] : ? [v55] : relation_of2_as_subset(v55, v53, v54) = 0 & ? [v53] : ? [v54] : ? [v55] : (relation_of2(v55, v53, v54) = 0 & quasi_total(v55, v53, v54) = 0 & relation(v55) = 0 & function(v55) = 0) & ? [v53] : ? [v54] : ? [v55] : (relation_of2(v55, v53, v54) = 0 & relation(v55) = 0 & function(v55) = 0) & ? [v53] : ? [v54] : (v54 = v53 | ? [v55] : ? [v56] : ? [v57] : (in(v55, v54) = v57 & in(v55, v53) = v56 & ( ~ (v57 = 0) | ~ (v56 = 0)) & (v57 = 0 | v56 = 0))) & ? [v53] : ? [v54] : element(v54, v53) = 0 & ? [v53] : ? [v54] : (well_orders(v54, v53) = 0 & relation(v54) = 0) & ? [v53] : ? [v54] : (relation_dom(v54) = v53 & relation(v54) = 0 & function(v54) = 0 & ! [v55] : ! [v56] : ( ~ (singleton(v55) = v56) | ? [v57] : ? [v58] : (apply(v54, v55) = v58 & in(v55, v53) = v57 & ( ~ (v57 = 0) | v58 = v56)))) & ? [v53] : ? [v54] : (relation(v54) = 0 & function(v54) = 0 & ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = 0 | ~ (ordered_pair(v55, v56) = v57) | ~ (in(v57, v54) = v58) | ? [v59] : ? [v60] : (singleton(v55) = v60 & in(v55, v53) = v59 & ( ~ (v60 = v56) | ~ (v59 = 0)))) & ! [v55] : ! [v56] : ! [v57] : ( ~ (ordered_pair(v55, v56) = v57) | ~ (in(v57, v54) = 0) | (singleton(v55) = v56 & in(v55, v53) = 0))) & ? [v53] : ? [v54] : (in(v53, v54) = 0 & ! [v55] : ! [v56] : ! [v57] : (v57 = 0 | ~ (powerset(v55) = v56) | ~ (in(v56, v54) = v57) | ? [v58] : ( ~ (v58 = 0) & in(v55, v54) = v58)) & ! [v55] : ! [v56] : (v56 = 0 | ~ (are_equipotent(v55, v54) = v56) | ? [v57] : ? [v58] : (subset(v55, v54) = v57 & in(v55, v54) = v58 & ( ~ (v57 = 0) | v58 = 0))) & ! [v55] : ! [v56] : ( ~ (subset(v56, v55) = 0) | ? [v57] : ? [v58] : (in(v56, v54) = v58 & in(v55, v54) = v57 & ( ~ (v57 = 0) | v58 = 0)))) & ? [v53] : ? [v54] : (in(v53, v54) = 0 & ! [v55] : ! [v56] : (v56 = 0 | ~ (are_equipotent(v55, v54) = v56) | ? [v57] : ? [v58] : (subset(v55, v54) = v57 & in(v55, v54) = v58 & ( ~ (v57 = 0) | v58 = 0))) & ! [v55] : ! [v56] : ( ~ (subset(v56, v55) = 0) | ? [v57] : ? [v58] : (in(v56, v54) = v58 & in(v55, v54) = v57 & ( ~ (v57 = 0) | v58 = 0))) & ! [v55] : ( ~ (in(v55, v54) = 0) | ? [v56] : (in(v56, v54) = 0 & ! [v57] : ( ~ (subset(v57, v55) = 0) | in(v57, v56) = 0)))) & ? [v53] : ? [v54] : ( ! [v55] : ! [v56] : ! [v57] : (v56 = 0 | ~ (singleton(v57) = v55) | ~ (in(v55, v54) = v56) | ? [v58] : ( ~ (v58 = 0) & in(v57, v53) = v58)) & ! [v55] : ( ~ (in(v55, v54) = 0) | ? [v56] : (singleton(v56) = v55 & in(v56, v53) = 0))) & ? [v53] : ? [v54] : ( ! [v55] : ! [v56] : ( ~ (ordinal(v55) = v56) | ? [v57] : ? [v58] : (in(v55, v54) = v57 & in(v55, v53) = v58 & ( ~ (v57 = 0) | (v58 = 0 & v56 = 0)))) & ! [v55] : ( ~ (ordinal(v55) = 0) | ? [v56] : ? [v57] : (in(v55, v54) = v57 & in(v55, v53) = v56 & ( ~ (v56 = 0) | v57 = 0)))) & ? [v53] : ? [v54] : ( ! [v55] : ! [v56] : ( ~ (ordinal(v55) = v56) | ? [v57] : ? [v58] : ((v58 = 0 & v57 = v55 & v56 = 0 & in(v55, v53) = 0) | ( ~ (v57 = 0) & in(v55, v54) = v57))) & ! [v55] : ( ~ (ordinal(v55) = 0) | ~ (in(v55, v53) = 0) | in(v55, v54) = 0)) & ? [v53] : (v53 = empty_set | ? [v54] : in(v54, v53) = 0) & ( ! [v53] : ( ~ (in(v53, omega) = 0) | ? [v54] : ? [v55] : ? [v56] : (powerset(v55) = v56 & powerset(v53) = v55 & ordinal(v53) = v54 & ( ~ (v54 = 0) | ! [v57] : (v57 = empty_set | ~ (element(v57, v56) = 0) | ? [v58] : (in(v58, v57) = 0 & ! [v59] : (v59 = v58 | ~ (subset(v58, v59) = 0) | ? [v60] : ( ~ (v60 = 0) & in(v59, v57) = v60))))))) | (v25 = 0 & v21 = 0 & v16 = 0 & ~ (v24 = empty_set) & succ(v15) = v20 & powerset(v22) = v23 & powerset(v20) = v22 & powerset(v18) = v19 & powerset(v15) = v18 & element(v24, v23) = 0 & ordinal(v15) = 0 & in(v20, omega) = 0 & in(v15, omega) = v17 & ! [v53] : ( ~ (in(v53, v24) = 0) | ? [v54] : ( ~ (v54 = v53) & subset(v53, v54) = 0 & in(v54, v24) = 0)) & ( ~ (v17 = 0) | ! [v53] : (v53 = empty_set | ~ (element(v53, v19) = 0) | ? [v54] : (in(v54, v53) = 0 & ! [v55] : (v55 = v54 | ~ (subset(v54, v55) = 0) | ? [v56] : ( ~ (v56 = 0) & in(v55, v53) = v56)))))) | (v22 = 0 & v18 = 0 & v17 = 0 & v16 = 0 & ~ (v21 = empty_set) & ~ (v15 = empty_set) & being_limit_ordinal(v15) = 0 & powerset(v19) = v20 & powerset(v15) = v19 & element(v21, v20) = 0 & ordinal(v15) = 0 & in(v15, omega) = 0 & ! [v53] : ( ~ (in(v53, v21) = 0) | ? [v54] : ( ~ (v54 = v53) & subset(v53, v54) = 0 & in(v54, v21) = 0)) & ! [v53] : ( ~ (in(v53, omega) = 0) | ? [v54] : ? [v55] : ? [v56] : ? [v57] : (powerset(v56) = v57 & powerset(v53) = v56 & ordinal(v53) = v54 & in(v53, v15) = v55 & ( ~ (v55 = 0) | ~ (v54 = 0) | ! [v58] : (v58 = empty_set | ~ (element(v58, v57) = 0) | ? [v59] : (in(v59, v58) = 0 & ! [v60] : (v60 = v59 | ~ (subset(v59, v60) = 0) | ? [v61] : ( ~ (v61 = 0) & in(v60, v58) = v61)))))))) | (v16 = 0 & ~ (v15 = empty_set) & element(v15, v2) = 0 & ! [v53] : ( ~ (in(v53, v15) = 0) | ? [v54] : ( ~ (v54 = v53) & subset(v53, v54) = 0 & in(v54, v15) = 0)))) & ( ! [v53] : ( ~ (in(v53, omega) = 0) | ? [v54] : ? [v55] : ? [v56] : (powerset(v55) = v56 & powerset(v53) = v55 & ordinal(v53) = v54 & ( ~ (v54 = 0) | ! [v57] : (v57 = empty_set | ~ (element(v57, v56) = 0) | ? [v58] : (in(v58, v57) = 0 & ! [v59] : (v59 = v58 | ~ (subset(v58, v59) = 0) | ? [v60] : ( ~ (v60 = 0) & in(v59, v57) = v60))))))) | (v14 = 0 & v10 = 0 & v9 = 0 & ~ (v13 = empty_set) & powerset(v11) = v12 & powerset(v8) = v11 & element(v13, v12) = 0 & ordinal(v8) = 0 & in(v8, omega) = 0 & ! [v53] : ( ~ (in(v53, v13) = 0) | ? [v54] : ( ~ (v54 = v53) & subset(v53, v54) = 0 & in(v54, v13) = 0)) & ! [v53] : ( ~ (in(v53, omega) = 0) | ? [v54] : ? [v55] : ? [v56] : ? [v57] : (powerset(v56) = v57 & powerset(v53) = v56 & ordinal(v53) = v54 & in(v53, v8) = v55 & ( ~ (v55 = 0) | ~ (v54 = 0) | ! [v58] : (v58 = empty_set | ~ (element(v58, v57) = 0) | ? [v59] : (in(v59, v58) = 0 & ! [v60] : (v60 = v59 | ~ (subset(v59, v60) = 0) | ? [v61] : ( ~ (v61 = 0) & in(v60, v58) = v61))))))))))
% 134.52/73.92 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52 yields:
% 134.52/73.92 | (1) ~ (all_0_4_4 = 0) & ~ (all_0_6_6 = 0) & ~ (all_0_16_16 = 0) & ~ (all_0_18_18 = 0) & ~ (all_0_21_21 = 0) & ~ (all_0_24_24 = 0) & ~ (all_0_45_45 = all_0_46_46) & ~ (all_0_48_48 = 0) & ~ (all_0_52_52 = 0) & relation_empty_yielding(all_0_23_23) = 0 & relation_empty_yielding(all_0_26_26) = 0 & relation_empty_yielding(empty_set) = 0 & one_sorted_str(all_0_1_1) = 0 & one_sorted_str(all_0_25_25) = 0 & latt_str(all_0_3_3) = 0 & being_limit_ordinal(all_0_10_10) = 0 & being_limit_ordinal(omega) = 0 & below(all_0_49_49, all_0_45_45, all_0_46_46) = 0 & below(all_0_49_49, all_0_46_46, all_0_45_45) = 0 & singleton(empty_set) = all_0_51_51 & relation_rng(empty_set) = empty_set & relation_dom(empty_set) = empty_set & meet_semilatt_str(all_0_0_0) = 0 & the_carrier(all_0_49_49) = all_0_47_47 & empty_carrier(all_0_25_25) = all_0_24_24 & empty_carrier(all_0_49_49) = all_0_48_48 & join_commutative(all_0_49_49) = 0 & join_semilatt_str(all_0_2_2) = 0 & join_semilatt_str(all_0_49_49) = 0 & one_to_one(all_0_11_11) = 0 & one_to_one(all_0_15_15) = 0 & one_to_one(all_0_20_20) = 0 & one_to_one(empty_set) = 0 & natural(all_0_5_5) = 0 & powerset(all_0_51_51) = all_0_50_50 & powerset(empty_set) = all_0_51_51 & relation(all_0_8_8) = 0 & relation(all_0_11_11) = 0 & relation(all_0_12_12) = 0 & relation(all_0_14_14) = 0 & relation(all_0_15_15) = 0 & relation(all_0_17_17) = 0 & relation(all_0_20_20) = 0 & relation(all_0_23_23) = 0 & relation(all_0_26_26) = 0 & relation(empty_set) = 0 & function(all_0_8_8) = 0 & function(all_0_11_11) = 0 & function(all_0_14_14) = 0 & function(all_0_15_15) = 0 & function(all_0_20_20) = 0 & function(all_0_26_26) = 0 & function(empty_set) = 0 & finite(all_0_7_7) = 0 & empty(all_0_5_5) = all_0_4_4 & empty(all_0_7_7) = all_0_6_6 & empty(all_0_11_11) = 0 & empty(all_0_12_12) = 0 & empty(all_0_13_13) = 0 & empty(all_0_14_14) = 0 & empty(all_0_15_15) = 0 & empty(all_0_17_17) = all_0_16_16 & empty(all_0_19_19) = all_0_18_18 & empty(all_0_22_22) = all_0_21_21 & empty(empty_set) = 0 & empty(omega) = all_0_52_52 & epsilon_connected(all_0_5_5) = 0 & epsilon_connected(all_0_9_9) = 0 & epsilon_connected(all_0_10_10) = 0 & epsilon_connected(all_0_15_15) = 0 & epsilon_connected(all_0_22_22) = 0 & epsilon_connected(empty_set) = 0 & epsilon_connected(omega) = 0 & element(all_0_45_45, all_0_47_47) = 0 & element(all_0_46_46, all_0_47_47) = 0 & epsilon_transitive(all_0_5_5) = 0 & epsilon_transitive(all_0_9_9) = 0 & epsilon_transitive(all_0_10_10) = 0 & epsilon_transitive(all_0_15_15) = 0 & epsilon_transitive(all_0_22_22) = 0 & epsilon_transitive(empty_set) = 0 & epsilon_transitive(omega) = 0 & ordinal(all_0_5_5) = 0 & ordinal(all_0_9_9) = 0 & ordinal(all_0_10_10) = 0 & ordinal(all_0_15_15) = 0 & ordinal(all_0_22_22) = 0 & ordinal(empty_set) = 0 & ordinal(omega) = 0 & in(empty_set, omega) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = 0 | ~ (relation_composition(v0, v1) = v2) | ~ (ordered_pair(v3, v7) = v8) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ~ (in(v8, v0) = 0) | ~ (in(v5, v2) = v6) | ? [v9] : ? [v10] : (( ~ (v10 = 0) & ordered_pair(v7, v4) = v9 & in(v9, v1) = v10) | ( ~ (v9 = 0) & relation(v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (is_transitive_in(v0, v1) = 0) | ~ (ordered_pair(v2, v4) = v6) | ~ (ordered_pair(v2, v3) = v5) | ~ (relation(v0) = 0) | ~ (in(v6, v0) = v7) | ~ (in(v5, v0) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (ordered_pair(v3, v4) = v11 & in(v11, v0) = v12 & in(v4, v1) = v10 & in(v3, v1) = v9 & in(v2, v1) = v8 & ( ~ (v12 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (apply_binary_as_element(v7, v6, v5, v4, v3, v2) = v1) | ~ (apply_binary_as_element(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (apply_binary(v3, v4, v5) = v7) | ~ (relation_of2(v3, v6, v2) = 0) | ~ (cartesian_product2(v0, v1) = v6) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply_binary_as_element(v0, v1, v2, v3, v4, v5) = v14 & quasi_total(v3, v6, v2) = v11 & function(v3) = v10 & empty(v1) = v9 & empty(v0) = v8 & element(v5, v1) = v13 & element(v4, v0) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v7 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_composition(v5, v3) = v6) | ~ (identity_relation(v2) = v5) | ~ (ordered_pair(v0, v1) = v4) | ~ (in(v4, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : (relation(v3) = v8 & in(v4, v3) = v10 & in(v0, v2) = v9 & ( ~ (v8 = 0) | (( ~ (v10 = 0) | ~ (v9 = 0) | v7 = 0) & ( ~ (v7 = 0) | (v10 = 0 & v9 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v1 = empty_set | ~ (quasi_total(v3, v0, v1) = 0) | ~ (relation_rng(v3) = v5) | ~ (apply(v3, v2) = v4) | ~ (in(v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (relation_of2_as_subset(v3, v0, v1) = v8 & function(v3) = v7 & in(v2, v0) = v9 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v1 = empty_set | ~ (quasi_total(v3, v0, v1) = 0) | ~ (relation_inverse_image(v3, v2) = v4) | ~ (in(v5, v4) = v6) | ? [v7] : ? [v8] : ? [v9] : ((relation_of2_as_subset(v3, v0, v1) = v8 & function(v3) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))) | (apply(v3, v5) = v8 & in(v8, v2) = v9 & in(v5, v0) = v7 & ( ~ (v9 = 0) | ~ (v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (relation_restriction(v2, v0) = v3) | ~ (fiber(v3, v1) = v4) | ~ (fiber(v2, v1) = v5) | ~ (subset(v4, v5) = v6) | ? [v7] : ( ~ (v7 = 0) & relation(v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (relation_rng(v2) = v5) | ~ (relation_dom(v2) = v3) | ~ (subset(v5, v1) = v6) | ~ (subset(v3, v0) = v4) | ? [v7] : ( ~ (v7 = 0) & relation_of2_as_subset(v2, v0, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (relation_rng(v2) = v5) | ~ (relation_dom(v2) = v3) | ~ (in(v1, v5) = v6) | ~ (in(v0, v3) = v4) | ? [v7] : ? [v8] : ? [v9] : (ordered_pair(v0, v1) = v8 & relation(v2) = v7 & in(v8, v2) = v9 & ( ~ (v9 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (transitive(v0) = 0) | ~ (ordered_pair(v1, v3) = v5) | ~ (ordered_pair(v1, v2) = v4) | ~ (in(v5, v0) = v6) | ~ (in(v4, v0) = 0) | ? [v7] : ? [v8] : (( ~ (v8 = 0) & ordered_pair(v2, v3) = v7 & in(v7, v0) = v8) | ( ~ (v7 = 0) & relation(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (subset(v4, v5) = v6) | ~ (cartesian_product2(v1, v3) = v5) | ~ (cartesian_product2(v0, v2) = v4) | ? [v7] : ? [v8] : (subset(v2, v3) = v8 & subset(v0, v1) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (ordered_pair(v0, v1) = v4) | ~ (cartesian_product2(v2, v3) = v5) | ~ (in(v4, v5) = v6) | ? [v7] : ? [v8] : (in(v1, v3) = v8 & in(v0, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (relation_rng(v2) = v5) | ~ (relation_dom(v2) = v3) | ~ (subset(v5, v1) = v6) | ~ (subset(v3, v0) = v4) | ? [v7] : ( ~ (v7 = 0) & relation_of2_as_subset(v2, v0, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (relation_rng(v2) = v5) | ~ (relation_dom(v2) = v3) | ~ (in(v1, v5) = v6) | ~ (in(v0, v3) = v4) | ? [v7] : ? [v8] : ? [v9] : (ordered_pair(v0, v1) = v8 & relation(v2) = v7 & in(v8, v2) = v9 & ( ~ (v9 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (relation_inverse_image(v0, v1) = v2) | ~ (ordered_pair(v3, v5) = v6) | ~ (relation(v0) = 0) | ~ (in(v6, v0) = 0) | ~ (in(v3, v2) = v4) | ? [v7] : ( ~ (v7 = 0) & in(v5, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (relation_image(v0, v1) = v2) | ~ (ordered_pair(v5, v3) = v6) | ~ (relation(v0) = 0) | ~ (in(v6, v0) = 0) | ~ (in(v3, v2) = v4) | ? [v7] : ( ~ (v7 = 0) & in(v5, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (ordered_pair(v5, v6) = v3) | ~ (cartesian_product2(v0, v1) = v2) | ~ (in(v3, v2) = v4) | ? [v7] : ? [v8] : (in(v6, v1) = v8 & in(v5, v0) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inclusion_relation(v0) = v1) | ~ (relation_field(v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (in(v5, v1) = v6) | ? [v7] : ? [v8] : ? [v9] : (( ~ (v7 = 0) & relation(v1) = v7) | (subset(v3, v4) = v9 & in(v4, v0) = v8 & in(v3, v0) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_of2(v3, v6, v2) = 0) | ~ (cartesian_product2(v0, v1) = v6) | ~ (element(v5, v1) = 0) | ~ (element(v4, v0) = 0) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (apply_binary_as_element(v0, v1, v2, v3, v4, v5) = v11 & quasi_total(v3, v6, v2) = v10 & function(v3) = v9 & empty(v1) = v8 & empty(v0) = v7 & element(v11, v2) = v12 & ( ~ (v10 = 0) | ~ (v9 = 0) | v12 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (in(v5, v1) = v6) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & relation(v1) = v7) | (in(v5, v2) = v7 & in(v4, v0) = v8 & ( ~ (v7 = 0) | (v8 = 0 & v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ~ (in(v5, v0) = v6) | ? [v7] : ? [v8] : (in(v5, v2) = v7 & in(v3, v1) = v8 & ( ~ (v7 = 0) | (v8 = 0 & v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v3 = v2 | ~ (is_connected_in(v0, v1) = 0) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (ordered_pair(v3, v2) = v8 & in(v8, v0) = v9 & in(v3, v1) = v7 & in(v2, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subset_difference(v0, v1, v2) = v4) | ~ (powerset(v0) = v3) | ~ (element(v4, v3) = v5) | ? [v6] : ? [v7] : (element(v2, v3) = v7 & element(v1, v3) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_rng_as_subset(v0, v1, v2) = v3) | ~ (powerset(v1) = v4) | ~ (element(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation_of2(v2, v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (complements_of_subsets(v0, v1) = v4) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ~ (element(v4, v3) = v5) | ? [v6] : ( ~ (v6 = 0) & element(v1, v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_composition(v0, v2) = v3) | ~ (relation_dom(v3) = v4) | ~ (relation_dom(v0) = v1) | ~ (subset(v4, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & relation(v2) = v6) | ( ~ (v6 = 0) & relation(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_composition(v0, v1) = v2) | ~ (relation_rng(v2) = v3) | ~ (relation_rng(v1) = v4) | ~ (subset(v3, v4) = v5) | ~ (relation(v0) = 0) | ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_inverse(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v1) = 0) | ~ (in(v4, v1) = v5) | ? [v6] : ? [v7] : (( ~ (v7 = 0) & ordered_pair(v3, v2) = v6 & in(v6, v0) = v7) | ( ~ (v6 = 0) & relation(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (set_difference(v1, v3) = v4) | ~ (singleton(v2) = v3) | ~ (subset(v0, v4) = v5) | ? [v6] : ? [v7] : (subset(v0, v1) = v6 & in(v2, v0) = v7 & ( ~ (v6 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (set_difference(v1, v2) = v4) | ~ (set_difference(v0, v2) = v3) | ~ (subset(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & subset(v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (meet(v0, v1, v2) = v4) | ~ (the_carrier(v0) = v3) | ~ (element(v4, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (meet_semilatt_str(v0) = v7 & empty_carrier(v0) = v6 & element(v2, v3) = v9 & element(v1, v3) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (fiber(v0, v1) = v2) | ~ (ordered_pair(v3, v1) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = v5) | ? [v6] : ( ~ (v6 = 0) & in(v3, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (join(v0, v1, v2) = v4) | ~ (the_carrier(v0) = v3) | ~ (element(v4, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (empty_carrier(v0) = v6 & join_semilatt_str(v0) = v7 & element(v2, v3) = v9 & element(v1, v3) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_dom_as_subset(v0, v1, v2) = v3) | ~ (powerset(v0) = v4) | ~ (element(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation_of2(v2, v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_rng(v2) = v3) | ~ (relation_rng(v1) = v4) | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (subset(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_rng(v2) = v3) | ~ (relation_rng(v1) = v4) | ~ (relation_dom_restriction(v1, v0) = v2) | ~ (subset(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_inverse_image(v2, v1) = v4) | ~ (relation_inverse_image(v2, v0) = v3) | ~ (subset(v3, v4) = v5) | ? [v6] : ? [v7] : (subset(v0, v1) = v7 & relation(v2) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_field(v2) = v3) | ~ (in(v1, v3) = v5) | ~ (in(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : (ordered_pair(v0, v1) = v7 & relation(v2) = v6 & in(v7, v2) = v8 & ( ~ (v8 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (relation_dom(v2) = v3) | ~ (relation_dom(v1) = v4) | ~ (subset(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subset(v3, v4) = v5) | ~ (set_intersection2(v1, v2) = v4) | ~ (set_intersection2(v0, v2) = v3) | ? [v6] : ( ~ (v6 = 0) & subset(v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (meet_commut(v0, v1, v2) = v4) | ~ (the_carrier(v0) = v3) | ~ (element(v4, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (meet_commutative(v0) = v7 & meet_semilatt_str(v0) = v8 & empty_carrier(v0) = v6 & element(v2, v3) = v10 & element(v1, v3) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (the_carrier(v0) = v3) | ~ (join_commut(v0, v1, v2) = v4) | ~ (element(v4, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (empty_carrier(v0) = v6 & join_commutative(v0) = v7 & join_semilatt_str(v0) = v8 & element(v2, v3) = v10 & element(v1, v3) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (cartesian_product2(v0, v1) = v3) | ~ (powerset(v3) = v4) | ~ (element(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation_of2_as_subset(v2, v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (relation_field(v2) = v3) | ~ (in(v1, v3) = v5) | ~ (in(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : (ordered_pair(v0, v1) = v7 & relation(v2) = v6 & in(v7, v2) = v8 & ( ~ (v8 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (ordered_pair(v1, v3) = v5) | ~ (ordered_pair(v1, v2) = v4) | ~ (function(v0) = 0) | ~ (in(v5, v0) = 0) | ~ (in(v4, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v1 | ~ (pair_second(v0) = v1) | ~ (ordered_pair(v4, v5) = v0) | ~ (ordered_pair(v2, v3) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = 0 | ~ (relation_rng(v0) = v1) | ~ (ordered_pair(v4, v2) = v5) | ~ (in(v5, v0) = 0) | ~ (in(v2, v1) = v3) | ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = 0 | ~ (relation_dom(v0) = v1) | ~ (ordered_pair(v2, v4) = v5) | ~ (in(v5, v0) = 0) | ~ (in(v2, v1) = v3) | ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v1 | ~ (pair_first(v0) = v1) | ~ (ordered_pair(v4, v5) = v0) | ~ (ordered_pair(v2, v3) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = empty_set | ~ (quasi_total(v3, v0, v1) = 0) | ~ (relation_inverse_image(v3, v2) = v4) | ~ (in(v5, v4) = 0) | ? [v6] : ? [v7] : ? [v8] : ((v8 = 0 & v6 = 0 & apply(v3, v5) = v7 & in(v7, v2) = 0 & in(v5, v0) = 0) | (relation_of2_as_subset(v3, v0, v1) = v7 & function(v3) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_composition(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ~ (in(v5, v2) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & v8 = 0 & ordered_pair(v6, v4) = v9 & ordered_pair(v3, v6) = v7 & in(v9, v1) = 0 & in(v7, v0) = 0) | ( ~ (v6 = 0) & relation(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_isomorphism(v0, v2, v4) = v5) | ~ (relation_field(v2) = v3) | ~ (relation_field(v0) = v1) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (( ~ (v6 = 0) & relation(v2) = v6) | ( ~ (v6 = 0) & relation(v0) = v6) | (relation_rng(v4) = v9 & relation_dom(v4) = v8 & one_to_one(v4) = v10 & relation(v4) = v6 & function(v4) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | (( ~ (v10 = 0) | ~ (v9 = v3) | ~ (v8 = v1) | v5 = 0 | (apply(v4, v12) = v18 & apply(v4, v11) = v17 & ordered_pair(v17, v18) = v19 & ordered_pair(v11, v12) = v13 & in(v19, v2) = v20 & in(v13, v0) = v14 & in(v12, v1) = v16 & in(v11, v1) = v15 & ( ~ (v20 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0)) & (v14 = 0 | (v20 = 0 & v16 = 0 & v15 = 0)))) & ( ~ (v5 = 0) | (v10 = 0 & v9 = v3 & v8 = v1 & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (apply(v4, v22) = v24) | ~ (apply(v4, v21) = v23) | ~ (ordered_pair(v23, v24) = v25) | ~ (in(v25, v2) = v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (ordered_pair(v21, v22) = v27 & in(v27, v0) = v28 & in(v22, v1) = v30 & in(v21, v1) = v29 & ( ~ (v28 = 0) | (v30 = 0 & v29 = 0 & v26 = 0)))) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (apply(v4, v22) = v24) | ~ (apply(v4, v21) = v23) | ~ (ordered_pair(v23, v24) = v25) | ~ (in(v25, v2) = 0) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (ordered_pair(v21, v22) = v28 & in(v28, v0) = v29 & in(v22, v1) = v27 & in(v21, v1) = v26 & ( ~ (v27 = 0) | ~ (v26 = 0) | v29 = 0)))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_restriction(v1, v0) = v2) | ~ (relation_field(v2) = v3) | ~ (relation_field(v1) = v4) | ~ (subset(v3, v4) = v5) | ? [v6] : ? [v7] : (subset(v3, v0) = v7 & relation(v1) = v6 & ( ~ (v6 = 0) | (v7 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (subset_complement(v0, v3) = v4) | ~ (subset(v1, v4) = v5) | ~ (powerset(v0) = v2) | ~ (element(v1, v2) = 0) | ? [v6] : ? [v7] : (disjoint(v1, v3) = v7 & element(v3, v2) = v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_rng(v3) = v4) | ~ (relation_rng_restriction(v1, v2) = v3) | ~ (in(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (relation_rng(v2) = v8 & relation(v2) = v6 & in(v0, v8) = v9 & in(v0, v1) = v7 & ( ~ (v6 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v9 = 0 & v7 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (in(v5, v1) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & relation(v1) = v6) | (in(v5, v2) = v7 & in(v4, v0) = v6 & ( ~ (v6 = 0) | v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_dom(v3) = v4) | ~ (relation_dom_restriction(v2, v1) = v3) | ~ (in(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (relation_dom(v2) = v8 & relation(v2) = v6 & in(v0, v8) = v9 & in(v0, v1) = v7 & ( ~ (v6 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v9 = 0 & v7 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_dom(v3) = v4) | ~ (relation_dom_restriction(v2, v0) = v3) | ~ (in(v1, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (relation_dom(v2) = v8 & relation(v2) = v6 & function(v2) = v7 & in(v1, v8) = v9 & in(v1, v0) = v10 & ( ~ (v7 = 0) | ~ (v6 = 0) | (( ~ (v10 = 0) | ~ (v9 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v10 = 0 & v9 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ~ (in(v5, v0) = 0) | ? [v6] : ? [v7] : (in(v5, v2) = v7 & in(v3, v1) = v6 & ( ~ (v6 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (subset(v3, v4) = v5) | ~ (cartesian_product2(v1, v2) = v4) | ~ (cartesian_product2(v0, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subset(v7, v8) = v9 & subset(v0, v1) = v6 & cartesian_product2(v2, v1) = v8 & cartesian_product2(v2, v0) = v7 & ( ~ (v6 = 0) | (v9 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ordered_pair(v0, v1) = v4) | ~ (cartesian_product2(v2, v3) = v5) | ~ (in(v4, v5) = 0) | (in(v1, v3) = 0 & in(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | v4 = v1 | v4 = v0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v4, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v0 = empty_set | ~ (set_meet(v0) = v1) | ~ (in(v2, v3) = v4) | ~ (in(v2, v1) = 0) | ? [v5] : ( ~ (v5 = 0) & in(v3, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (meet_of_subsets(v0, v1) = v3) | ~ (powerset(v0) = v2) | ~ (element(v3, v2) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & powerset(v2) = v5 & element(v1, v5) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union_of_subsets(v0, v1) = v3) | ~ (powerset(v0) = v2) | ~ (element(v3, v2) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & powerset(v2) = v5 & element(v1, v5) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (function_inverse(v2) = v3) | ~ (relation_isomorphism(v1, v0, v3) = v4) | ~ (relation(v1) = 0) | ~ (relation(v0) = 0) | ? [v5] : ? [v6] : ? [v7] : (relation_isomorphism(v0, v1, v2) = v7 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset_complement(v0, v1) = v3) | ~ (powerset(v0) = v2) | ~ (element(v3, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & element(v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (is_reflexive_in(v0, v1) = 0) | ~ (ordered_pair(v2, v2) = v3) | ~ (relation(v0) = 0) | ~ (in(v3, v0) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v2, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_of2_as_subset(v3, v2, v1) = v4) | ~ (relation_of2_as_subset(v3, v2, v0) = 0) | ? [v5] : ( ~ (v5 = 0) & subset(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_rng(v2) = v3) | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (subset(v3, v0) = v4) | ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_rng(v1) = v3) | ~ (relation_image(v1, v0) = v2) | ~ (subset(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_rng(v0) = v2) | ~ (relation_dom(v0) = v1) | ~ (subset(v0, v3) = v4) | ~ (cartesian_product2(v1, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & relation(v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v2, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v1, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v0, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_inverse_image(v1, v2) = v3) | ~ (relation_image(v1, v0) = v2) | ~ (subset(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : (relation_dom(v1) = v6 & subset(v0, v6) = v7 & relation(v1) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_inverse_image(v1, v0) = v2) | ~ (relation_dom(v1) = v3) | ~ (subset(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_inverse_image(v1, v0) = v2) | ~ (relation_image(v1, v2) = v3) | ~ (subset(v3, v0) = v4) | ? [v5] : ? [v6] : (relation(v1) = v5 & function(v1) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset(v3, v2) = v4) | ~ (unordered_pair(v0, v1) = v3) | ? [v5] : ? [v6] : (in(v1, v2) = v6 & in(v0, v2) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset(v3, v1) = v4) | ~ (set_union2(v0, v2) = v3) | ? [v5] : ? [v6] : (subset(v2, v1) = v6 & subset(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset(v2, v3) = v4) | ~ (cartesian_product2(v0, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & relation_of2(v2, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset(v0, v3) = v4) | ~ (set_intersection2(v1, v2) = v3) | ? [v5] : ? [v6] : (subset(v0, v2) = v6 & subset(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (identity_relation(v0) = v1) | ~ (ordered_pair(v2, v2) = v3) | ~ (relation(v1) = 0) | ~ (in(v3, v1) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v2, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (element(v0, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (powerset(v0) = v2) | ~ (element(v1, v2) = 0) | ~ (in(v3, v0) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v3, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (is_antisymmetric_in(v0, v1) = 0) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (ordered_pair(v3, v2) = v7 & in(v7, v0) = v8 & in(v3, v1) = v6 & in(v2, v1) = v5 & ( ~ (v8 = 0) | ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (identity_relation(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v1) = 0) | ~ (in(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | ~ (fiber(v0, v1) = v2) | ~ (ordered_pair(v3, v1) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = 0) | in(v3, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | ~ (ordered_pair(v2, v3) = v4) | ~ (ordered_pair(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v0 | v2 = v0 | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (union(v0) = v1) | ~ (in(v2, v4) = 0) | ~ (in(v2, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (ordered_pair(v2, v3) = v4) | ~ (ordered_pair(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = 0 | ~ (cartesian_product2(v0, v3) = v4) | ~ (relation(v1) = 0) | ~ (empty(v0) = v2) | ? [v5] : ( ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = 0 | ~ (ordered_pair(v8, v9) = v6) | ~ (in(v9, v8) = 0) | ~ (in(v6, v5) = v7) | ~ (in(v6, v4) = 0) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & ~ (v13 = 0) & ordered_pair(v9, v10) = v12 & in(v12, v1) = v13 & in(v10, v8) = 0) | ( ~ (v10 = 0) & in(v8, v0) = v10))) & ! [v6] : ( ~ (in(v6, v5) = 0) | ? [v7] : ? [v8] : (ordered_pair(v7, v8) = v6 & in(v8, v7) = 0 & in(v7, v0) = 0 & in(v6, v4) = 0 & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (ordered_pair(v8, v9) = v10) | ~ (in(v10, v1) = v11) | ? [v12] : ( ~ (v12 = 0) & in(v9, v7) = v12)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = 0 | ~ (cartesian_product2(v0, v3) = v4) | ~ (relation(v1) = 0) | ~ (empty(v0) = v2) | ? [v5] : ( ! [v6] : ! [v7] : ! [v8] : ( ~ (ordered_pair(v7, v8) = v6) | ~ (in(v8, v7) = 0) | ~ (in(v6, v4) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v10 = 0 & ~ (v12 = 0) & ordered_pair(v8, v9) = v11 & in(v11, v1) = v12 & in(v9, v7) = 0) | (v9 = 0 & in(v6, v5) = 0) | ( ~ (v9 = 0) & in(v7, v0) = v9))) & ! [v6] : ! [v7] : (v7 = 0 | ~ (in(v6, v4) = v7) | ? [v8] : ( ~ (v8 = 0) & in(v6, v5) = v8)) & ! [v6] : ! [v7] : ( ~ (in(v6, v4) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = 0 & v12 = v8 & v11 = 0 & v10 = v6 & ordered_pair(v8, v9) = v6 & in(v9, v8) = 0 & in(v8, v0) = 0 & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (ordered_pair(v9, v14) = v15) | ~ (in(v15, v1) = v16) | ? [v17] : ( ~ (v17 = 0) & in(v14, v8) = v17))) | ( ~ (v8 = 0) & in(v6, v5) = v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply_binary(v4, v3, v2) = v1) | ~ (apply_binary(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (subset_difference(v4, v3, v2) = v1) | ~ (subset_difference(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_rng_as_subset(v4, v3, v2) = v1) | ~ (relation_rng_as_subset(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_isomorphism(v4, v3, v2) = v1) | ~ (relation_isomorphism(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (below(v4, v3, v2) = v1) | ~ (below(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (meet(v4, v3, v2) = v1) | ~ (meet(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_of2(v4, v3, v2) = v1) | ~ (relation_of2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (join(v4, v3, v2) = v1) | ~ (join(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_dom_as_subset(v4, v3, v2) = v1) | ~ (relation_dom_as_subset(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_of2_as_subset(v4, v3, v2) = v1) | ~ (relation_of2_as_subset(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (quasi_total(v4, v3, v2) = v1) | ~ (quasi_total(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (unordered_triple(v4, v3, v2) = v1) | ~ (unordered_triple(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (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] : ? [v9] : (union_of_subsets(v0, v8) = v9 & complements_of_subsets(v0, v1) = v8 & powerset(v5) = v6 & powerset(v0) = v5 & element(v1, v6) = v7 & ( ~ (v7 = 0) | v9 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = empty_set | ~ (subset_difference(v0, v2, v3) = v4) | ~ (union_of_subsets(v0, v1) = v3) | ~ (cast_to_subset(v0) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (meet_of_subsets(v0, v8) = v9 & complements_of_subsets(v0, v1) = v8 & powerset(v5) = v6 & powerset(v0) = v5 & element(v1, v6) = v7 & ( ~ (v7 = 0) | v9 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = empty_set | ~ (quasi_total(v3, v0, v2) = v4) | ~ (quasi_total(v3, v0, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_of2_as_subset(v3, v0, v2) = v8 & relation_of2_as_subset(v3, v0, v1) = v6 & subset(v1, v2) = v7 & function(v3) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (function_inverse(v1) = v2) | ~ (relation_composition(v2, v1) = v3) | ~ (apply(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (relation_rng(v1) = v8 & apply(v2, v0) = v10 & apply(v1, v10) = v11 & one_to_one(v1) = v7 & relation(v1) = v5 & function(v1) = v6 & in(v0, v8) = v9 & ( ~ (v9 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v11 = v0 & v4 = v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_composition(v2, v1) = v3) | ~ (relation_dom(v3) = v4) | ~ (function(v1) = 0) | ~ (in(v0, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v5 = 0) & relation(v1) = v5) | (apply(v3, v0) = v7 & apply(v2, v0) = v8 & apply(v1, v8) = v9 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | v9 = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_inverse(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v1) = 0) | ~ (in(v4, v1) = 0) | ? [v5] : ? [v6] : ((v6 = 0 & ordered_pair(v3, v2) = v5 & in(v5, v0) = 0) | ( ~ (v5 = 0) & relation(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_restriction(v2, v1) = v3) | ~ (relation_field(v3) = v4) | ~ (in(v0, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_field(v2) = v6 & relation(v2) = v5 & in(v0, v6) = v7 & in(v0, v1) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_restriction(v2, v1) = v3) | ~ (in(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cartesian_product2(v1, v1) = v7 & relation(v2) = v5 & in(v0, v7) = v8 & in(v0, v2) = v6 & ( ~ (v5 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | (v8 = 0 & v6 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (set_difference(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v4 = 0 & ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (the_L_meet(v0) = v1) | ~ (quasi_total(v1, v3, v2) = v4) | ~ (the_carrier(v0) = v2) | ~ (cartesian_product2(v2, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (relation_of2_as_subset(v1, v3, v2) = v7 & meet_semilatt_str(v0) = v5 & function(v1) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (fiber(v0, v1) = v2) | ~ (ordered_pair(v1, v1) = v3) | ~ (relation(v0) = 0) | ~ (in(v3, v0) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (singleton(v0) = v3) | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (succ(v0) = v2) | ~ (powerset(v3) = v4) | ~ (powerset(v2) = v3) | ~ (element(v1, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (singleton(v0) = v7 & powerset(v0) = v6 & ordinal(v0) = v5 & ( ~ (v5 = 0) | ( ! [v9] : ! [v10] : (v10 = 0 | ~ (in(v9, v6) = v10) | ? [v11] : ( ~ (v11 = 0) & in(v9, v8) = v11)) & ! [v9] : ! [v10] : ( ~ (set_difference(v10, v7) = v9) | ~ (in(v9, v6) = 0) | ? [v11] : ((v11 = 0 & in(v9, v8) = 0) | ( ~ (v11 = 0) & in(v10, v1) = v11))) & ! [v9] : ! [v10] : ( ~ (in(v9, v6) = v10) | ? [v11] : ? [v12] : ? [v13] : ((v13 = v9 & v12 = 0 & set_difference(v11, v7) = v9 & in(v11, v1) = 0) | ( ~ (v11 = 0) & in(v9, v8) = v11))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (succ(v0) = v2) | ~ (powerset(v3) = v4) | ~ (powerset(v2) = v3) | ~ (element(v1, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (singleton(v0) = v6 & powerset(v0) = v7 & ordinal(v0) = v5 & ( ~ (v5 = 0) | ( ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (set_difference(v11, v6) = v9) | ~ (in(v9, v8) = v10) | ~ (in(v9, v7) = 0) | ? [v12] : ( ~ (v12 = 0) & in(v11, v1) = v12)) & ! [v9] : ( ~ (in(v9, v8) = 0) | ? [v10] : (set_difference(v10, v6) = v9 & in(v10, v1) = 0 & in(v9, v7) = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (the_L_join(v0) = v1) | ~ (quasi_total(v1, v3, v2) = v4) | ~ (the_carrier(v0) = v2) | ~ (cartesian_product2(v2, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (relation_of2_as_subset(v1, v3, v2) = v7 & join_semilatt_str(v0) = v5 & function(v1) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_of2_as_subset(v3, v2, v0) = 0) | ~ (relation_rng(v3) = v4) | ~ (subset(v4, v1) = 0) | relation_of2_as_subset(v3, v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (quasi_total(v3, v0, v1) = 0) | ~ (apply(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (relation_of2_as_subset(v3, v0, v1) = v6 & function(v3) = v5 & in(v2, v0) = v7 & ( ~ (v6 = 0) | ~ (v5 = 0) | ! [v8] : ! [v9] : ! [v10] : ( ~ (v7 = 0) | v1 = empty_set | ~ (relation_composition(v3, v8) = v9) | ~ (apply(v9, v2) = v10) | ? [v11] : ? [v12] : ? [v13] : (apply(v8, v4) = v13 & relation(v8) = v11 & function(v8) = v12 & ( ~ (v12 = 0) | ~ (v11 = 0) | v13 = v10)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_inverse_image(v2, v1) = v3) | ~ (in(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (relation_rng(v2) = v6 & relation(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | (v11 = 0 & v10 = 0 & v8 = 0 & ordered_pair(v0, v7) = v9 & in(v9, v2) = 0 & in(v7, v6) = 0 & in(v7, v1) = 0)) & (v4 = 0 | ! [v12] : ( ~ (in(v12, v6) = 0) | ? [v13] : ? [v14] : ? [v15] : (ordered_pair(v0, v12) = v13 & in(v13, v2) = v14 & in(v12, v1) = v15 & ( ~ (v15 = 0) | ~ (v14 = 0))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_rng_restriction(v0, v3) = v4) | ~ (relation_dom_restriction(v2, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : (relation_rng_restriction(v0, v2) = v6 & relation_dom_restriction(v6, v1) = v7 & relation(v2) = v5 & ( ~ (v5 = 0) | v7 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_dom(v3) = v4) | ~ (relation_dom_restriction(v2, v0) = v3) | ~ (in(v1, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (apply(v3, v1) = v7 & apply(v2, v1) = v8 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_dom(v1) = v2) | ~ (relation_image(v1, v3) = v4) | ~ (set_intersection2(v2, v0) = v3) | ? [v5] : ? [v6] : (relation_image(v1, v0) = v6 & relation(v1) = v5 & ( ~ (v5 = 0) | v6 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_image(v2, v1) = v3) | ~ (in(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (relation_dom(v2) = v6 & relation(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | (v11 = 0 & v10 = 0 & v8 = 0 & ordered_pair(v7, v0) = v9 & in(v9, v2) = 0 & in(v7, v6) = 0 & in(v7, v1) = 0)) & (v4 = 0 | ! [v12] : ( ~ (in(v12, v6) = 0) | ? [v13] : ? [v14] : ? [v15] : (ordered_pair(v12, v0) = v13 & in(v13, v2) = v14 & in(v12, v1) = v15 & ( ~ (v15 = 0) | ~ (v14 = 0))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (apply(v3, v1) = v4) | ~ (relation_dom_restriction(v2, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (apply(v2, v1) = v8 & relation(v2) = v5 & function(v2) = v6 & in(v1, v0) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v8 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (subset(v0, v1) = 0) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = 0) | ? [v5] : ((v5 = 0 & in(v4, v1) = 0) | ( ~ (v5 = 0) & relation(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (identity_relation(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v1) = 0) | ~ (in(v4, v1) = 0) | in(v2, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ordered_pair(v0, v1) = v3) | ~ (in(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (relation_dom(v2) = v7 & apply(v2, v0) = v9 & relation(v2) = v5 & function(v2) = v6 & in(v0, v7) = v8 & ( ~ (v6 = 0) | ~ (v5 = 0) | (( ~ (v9 = v1) | ~ (v8 = 0) | v4 = 0) & ( ~ (v4 = 0) | (v9 = v1 & v8 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (set_intersection2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v6 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v6 & in(v3, v1) = v5 & (v6 = 0 | ( ~ (v5 = 0) & ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cartesian_product2(v0, v1) = v3) | ~ (powerset(v3) = v4) | ~ (element(v2, v4) = 0) | relation(v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (powerset(v3) = v4) | ~ (powerset(v0) = v3) | ~ (function(v2) = 0) | ~ (element(v1, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_dom(v2) = v6 & powerset(v6) = v7 & relation(v2) = v5 & ( ~ (v5 = 0) | ( ! [v9] : ! [v10] : ! [v11] : ( ~ (relation_image(v2, v9) = v10) | ~ (in(v10, v1) = v11) | ? [v12] : ? [v13] : ((v13 = 0 & v12 = v9 & v11 = 0 & in(v9, v7) = 0) | ( ~ (v12 = 0) & in(v9, v8) = v12))) & ! [v9] : ! [v10] : ( ~ (relation_image(v2, v9) = v10) | ~ (in(v10, v1) = 0) | ~ (in(v9, v7) = 0) | in(v9, v8) = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (powerset(v3) = v4) | ~ (powerset(v0) = v3) | ~ (function(v2) = 0) | ~ (element(v1, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_dom(v2) = v6 & powerset(v6) = v7 & relation(v2) = v5 & ( ~ (v5 = 0) | ( ! [v9] : ! [v10] : ( ~ (in(v9, v7) = v10) | ? [v11] : ? [v12] : ? [v13] : (relation_image(v2, v9) = v12 & in(v12, v1) = v13 & in(v9, v8) = v11 & ( ~ (v11 = 0) | (v13 = 0 & v10 = 0)))) & ! [v9] : ( ~ (in(v9, v7) = 0) | ? [v10] : ? [v11] : ? [v12] : (relation_image(v2, v9) = v10 & in(v10, v1) = v11 & in(v9, v8) = v12 & ( ~ (v11 = 0) | v12 = 0))))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (unordered_triple(v1, v2, v3) = v4) | ? [v5] : ? [v6] : (in(v5, v0) = v6 & ( ~ (v6 = 0) | ( ~ (v5 = v3) & ~ (v5 = v2) & ~ (v5 = v1))) & (v6 = 0 | v5 = v3 | v5 = v2 | v5 = v1))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (pair_second(v1) = v2) | ~ (ordered_pair(v3, v4) = v1) | ? [v5] : ? [v6] : ( ~ (v6 = v0) & ordered_pair(v5, v6) = v1)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (pair_first(v1) = v2) | ~ (ordered_pair(v3, v4) = v1) | ? [v5] : ? [v6] : ( ~ (v5 = v0) & ordered_pair(v5, v6) = v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (relation_composition(v0, v1) = v2) | ~ (relation(v3) = 0) | ~ (relation(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v4 = 0) & relation(v1) = v4) | (ordered_pair(v4, v5) = v6 & in(v6, v3) = v7 & ( ~ (v7 = 0) | ! [v13] : ! [v14] : ( ~ (ordered_pair(v4, v13) = v14) | ~ (in(v14, v0) = 0) | ? [v15] : ? [v16] : ( ~ (v16 = 0) & ordered_pair(v13, v5) = v15 & in(v15, v1) = v16))) & (v7 = 0 | (v12 = 0 & v10 = 0 & ordered_pair(v8, v5) = v11 & ordered_pair(v4, v8) = v9 & in(v11, v1) = 0 & in(v9, v0) = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (relation(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v4 = 0) & relation(v1) = v4) | (ordered_pair(v4, v5) = v6 & in(v6, v3) = v7 & in(v6, v1) = v9 & in(v5, v0) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)) & (v7 = 0 | (v9 = 0 & v8 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (relation_dom_restriction(v0, v1) = v3) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (ordered_pair(v4, v5) = v6 & in(v6, v2) = v7 & in(v6, v0) = v9 & in(v4, v1) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)) & (v7 = 0 | (v9 = 0 & v8 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v3 = v0 | ~ (unordered_pair(v0, v1) = v2) | ~ (in(v3, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (relation_rng_as_subset(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & in(v4, v1) = 0 & ! [v6] : ! [v7] : ( ~ (ordered_pair(v6, v4) = v7) | ~ (in(v7, v2) = 0))) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (subset_complement(v0, v2) = v3) | ~ (subset_complement(v0, v1) = v2) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & powerset(v0) = v4 & element(v1, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (set_difference(v1, v0) = v2) | ~ (set_union2(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (singleton(v0) = v2) | ~ (set_union2(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (relation_dom_as_subset(v1, v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & in(v4, v1) = 0 & ! [v6] : ! [v7] : ( ~ (ordered_pair(v4, v6) = v7) | ~ (in(v7, v2) = 0))) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v1, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (apply(v2, v1) = v3) | ~ (identity_relation(v0) = v2) | ? [v4] : ( ~ (v4 = 0) & in(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_difference(v0, v2) = v3) | ~ (singleton(v1) = v2) | in(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (relation_inverse_image(v1, v0) = v2) | ~ (relation_image(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (relation_rng(v1) = v6 & subset(v0, v6) = v7 & relation(v1) = v4 & function(v1) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v0 = empty_set | ~ (set_meet(v0) = v1) | ~ (in(v2, v1) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = 0 & in(v2, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (being_limit_ordinal(v0) = 0) | ~ (succ(v1) = v2) | ~ (in(v2, v0) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ordinal(v0) = v4) | (ordinal(v1) = v4 & in(v1, v0) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (set_difference(v0, v1) = v2) | ~ (subset(v2, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (union(v1) = v2) | ~ (subset(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (cast_to_subset(v0) = v1) | ~ (powerset(v0) = v2) | ~ (element(v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjoint(v2, v1) = v3) | ~ (singleton(v0) = v2) | in(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjoint(v1, v2) = 0) | ~ (disjoint(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_of2(v2, v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (singleton(v0) = v2) | ~ (subset(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (subset(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_dom_restriction(v1, v0) = v2) | ~ (subset(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v2, v0) = v3) | ~ (set_intersection2(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v2, v0) = v3) | ~ (powerset(v0) = v1) | ? [v4] : ( ~ (v4 = 0) & in(v2, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v2) = v3) | ~ (subset(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & subset(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v2) = v3) | ~ (set_union2(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (in(v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (in(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & in(v4, v1) = v5 & in(v4, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (antisymmetric(v0) = 0) | ~ (ordered_pair(v1, v2) = v3) | ~ (in(v3, v0) = 0) | ? [v4] : ? [v5] : (( ~ (v5 = 0) & ordered_pair(v2, v1) = v4 & in(v4, v0) = v5) | ( ~ (v4 = 0) & relation(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (relation_isomorphism(v0, v1, v3) = 0) | ~ (well_ordering(v1) = v2) | ~ (well_ordering(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & relation(v1) = v4) | ( ~ (v4 = 0) & relation(v0) = v4) | (relation(v3) = v4 & function(v3) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (equipotent(v0, v1) = v2) | ~ (one_to_one(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (relation_rng(v3) = v7 & relation_dom(v3) = v6 & relation(v3) = v4 & function(v3) = v5 & ( ~ (v7 = v1) | ~ (v6 = v0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (are_equipotent(v3, v2) = v1) | ~ (are_equipotent(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (meet_of_subsets(v3, v2) = v1) | ~ (meet_of_subsets(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union_of_subsets(v3, v2) = v1) | ~ (union_of_subsets(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (complements_of_subsets(v3, v2) = v1) | ~ (complements_of_subsets(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_composition(v3, v2) = v1) | ~ (relation_composition(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_restriction(v3, v2) = v1) | ~ (relation_restriction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (well_orders(v3, v2) = v1) | ~ (well_orders(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset_complement(v3, v2) = v1) | ~ (subset_complement(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_difference(v3, v2) = v1) | ~ (set_difference(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equipotent(v3, v2) = v1) | ~ (equipotent(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_well_founded_in(v3, v2) = v1) | ~ (is_well_founded_in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (disjoint(v3, v2) = v1) | ~ (disjoint(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (fiber(v3, v2) = v1) | ~ (fiber(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_reflexive_in(v3, v2) = v1) | ~ (is_reflexive_in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (singleton(v1) = v3) | ~ (singleton(v0) = v2) | ~ (subset(v2, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_transitive_in(v3, v2) = v1) | ~ (is_transitive_in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_connected_in(v3, v2) = v1) | ~ (is_connected_in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_inverse_image(v3, v2) = v1) | ~ (relation_inverse_image(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_antisymmetric_in(v3, v2) = v1) | ~ (is_antisymmetric_in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_rng_restriction(v3, v2) = v1) | ~ (relation_rng_restriction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_image(v3, v2) = v1) | ~ (relation_image(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apply(v3, v2) = v1) | ~ (apply(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_dom_restriction(v3, v2) = v1) | ~ (relation_dom_restriction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordinal_subset(v3, v2) = v1) | ~ (ordinal_subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_union2(v3, v2) = v1) | ~ (set_union2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (proper_subset(v3, v2) = v1) | ~ (proper_subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = empty_set | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ~ (element(v1, v3) = 0) | ? [v4] : ( ~ (v4 = empty_set) & complements_of_subsets(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (relation_of2(v2, v0, v1) = v4 & relation_rng(v2) = v5 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v1) | ~ (in(v3, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & ordered_pair(v4, v3) = v5 & in(v5, v2) = 0) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_composition(v2, v1) = v3) | ~ (identity_relation(v0) = v2) | ? [v4] : ? [v5] : (relation_dom_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v2, v1) = v3) | ~ (set_union2(v0, v1) = v2) | set_difference(v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v1, v0) = v2) | ~ (set_union2(v0, v2) = v3) | set_union2(v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v0, v2) = v3) | ~ (set_difference(v0, v1) = v2) | set_intersection2(v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v0, v1) = v2) | ~ (in(v3, v0) = 0) | ? [v4] : ? [v5] : (in(v3, v2) = v5 & in(v3, v1) = v4 & (v5 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v0) = v1) | ~ (ordinal_subset(v1, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ordinal(v0) = v4) | (ordinal(v2) = v4 & in(v0, v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v3 = 0) & ( ~ (v3 = 0) | v5 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom_as_subset(v1, v0, v2) = v1) | ~ (in(v3, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & ordered_pair(v3, v4) = v5 & in(v5, v2) = 0) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v1, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom_as_subset(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (relation_of2(v2, v0, v1) = v4 & relation_dom(v2) = v5 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom_as_subset(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (relation_of2_as_subset(v2, v0, v1) = v4 & quasi_total(v2, v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v1 = empty_set) | v0 = empty_set | (( ~ (v5 = 0) | v2 = empty_set) & ( ~ (v2 = empty_set) | v5 = 0))) & ((v1 = empty_set & ~ (v0 = empty_set)) | (( ~ (v5 = 0) | v3 = v0) & ( ~ (v3 = v0) | v5 = 0))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (quasi_total(v2, empty_set, v1) = v3) | ~ (quasi_total(v2, empty_set, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (relation_of2_as_subset(v2, empty_set, v1) = v7 & relation_of2_as_subset(v2, empty_set, v0) = v5 & subset(v0, v1) = v6 & function(v2) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng(v1) = v2) | ~ (set_intersection2(v2, v0) = v3) | ? [v4] : ? [v5] : ? [v6] : (relation_rng(v5) = v6 & relation_rng_restriction(v0, v1) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v6 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng(v0) = v2) | ~ (relation_dom(v0) = v1) | ~ (set_union2(v1, v2) = v3) | ? [v4] : ? [v5] : (relation_field(v0) = v5 & relation(v0) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng(v0) = v1) | ~ (relation_image(v2, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & relation(v0) = v4) | (relation_composition(v0, v2) = v5 & relation_rng(v5) = v6 & relation(v2) = v4 & ( ~ (v4 = 0) | v6 = v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_inverse_image(v0, v1) = v2) | ~ (relation(v0) = 0) | ~ (in(v3, v2) = 0) | ? [v4] : ? [v5] : (ordered_pair(v3, v4) = v5 & in(v5, v0) = 0 & in(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng_restriction(v0, v2) = v3) | ~ (relation_dom_restriction(v1, v0) = v2) | ? [v4] : ? [v5] : (relation_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ (relation_dom_restriction(v2, v0) = v3) | ? [v4] : ? [v5] : (relation_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom(v1) = v2) | ~ (set_intersection2(v2, v0) = v3) | ? [v4] : ? [v5] : ? [v6] : (relation_dom(v5) = v6 & relation_dom_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v6 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom(v1) = v2) | ~ (in(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (apply(v1, v0) = v6 & relation(v1) = v4 & function(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ! [v7] : ! [v8] : ! [v9] : ( ~ (v3 = 0) | ~ (relation_composition(v1, v7) = v8) | ~ (apply(v8, v0) = v9) | ? [v10] : ? [v11] : ? [v12] : (apply(v7, v6) = v12 & relation(v7) = v10 & function(v7) = v11 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = v9)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_image(v0, v1) = v2) | ~ (relation(v0) = 0) | ~ (in(v3, v2) = 0) | ? [v4] : ? [v5] : (ordered_pair(v4, v3) = v5 & in(v5, v0) = 0 & in(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset(v3, v2) = 0) | ~ (unordered_pair(v0, v1) = v3) | (in(v1, v2) = 0 & in(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset(v2, v3) = 0) | ~ (cartesian_product2(v0, v1) = v3) | relation_of2(v2, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_intersection2(v0, v2) = v3) | ~ (cartesian_product2(v1, v1) = v2) | ~ (relation(v0) = 0) | relation_restriction(v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) | ~ (in(v3, v0) = 0) | ? [v4] : ? [v5] : (in(v3, v2) = v5 & in(v3, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (element(v1, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (meet(v0, v1, v2) = v8 & meet_commutative(v0) = v5 & meet_semilatt_str(v0) = v6 & meet_commut(v0, v1, v2) = v7 & empty_carrier(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = v7 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (element(v1, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (join(v0, v1, v2) = v8 & empty_carrier(v0) = v4 & join_commutative(v0) = v5 & join_semilatt_str(v0) = v6 & join_commut(v0, v1, v2) = v7 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = v7 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (element(v1, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (meet_commutative(v0) = v5 & meet_semilatt_str(v0) = v6 & meet_commut(v0, v2, v1) = v8 & meet_commut(v0, v1, v2) = v7 & empty_carrier(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = v7 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (element(v1, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (empty_carrier(v0) = v4 & join_commutative(v0) = v5 & join_semilatt_str(v0) = v6 & join_commut(v0, v2, v1) = v8 & join_commut(v0, v1, v2) = v7 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = v7 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v0, v1) = v2) | ~ (in(v3, v2) = 0) | ? [v4] : ? [v5] : (ordered_pair(v4, v5) = v3 & in(v5, v1) = 0 & in(v4, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v0, v0) = v3) | ~ (relation(v1) = 0) | ~ (function(v2) = 0) | ? [v4] : (( ~ (v4 = 0) & relation(v2) = v4) | ( ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v6 = 0 | ~ (apply(v2, v8) = v10) | ~ (apply(v2, v7) = v9) | ~ (ordered_pair(v9, v10) = v11) | ~ (in(v11, v1) = 0) | ~ (in(v5, v4) = v6) | ~ (in(v5, v3) = 0) | ? [v12] : ( ~ (v12 = v5) & ordered_pair(v7, v8) = v12)) & ! [v5] : ( ~ (in(v5, v4) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (apply(v2, v7) = v9 & apply(v2, v6) = v8 & ordered_pair(v8, v9) = v10 & ordered_pair(v6, v7) = v5 & in(v10, v1) = 0 & in(v5, v3) = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v0, v0) = v3) | ~ (relation(v1) = 0) | ~ (function(v2) = 0) | ? [v4] : (( ~ (v4 = 0) & relation(v2) = v4) | ( ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (apply(v2, v7) = v9) | ~ (apply(v2, v6) = v8) | ~ (ordered_pair(v8, v9) = v10) | ~ (in(v10, v1) = 0) | ~ (in(v5, v3) = 0) | ? [v11] : ((v11 = 0 & in(v5, v4) = 0) | ( ~ (v11 = v5) & ordered_pair(v6, v7) = v11))) & ! [v5] : ! [v6] : (v6 = 0 | ~ (in(v5, v3) = v6) | ? [v7] : ( ~ (v7 = 0) & in(v5, v4) = v7)) & ! [v5] : ! [v6] : ( ~ (in(v5, v3) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = 0 & v9 = v5 & apply(v2, v8) = v11 & apply(v2, v7) = v10 & ordered_pair(v10, v11) = v12 & ordered_pair(v7, v8) = v5 & in(v12, v1) = 0) | ( ~ (v7 = 0) & in(v5, v4) = v7)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ~ (element(v1, v3) = 0) | ? [v4] : (meet_of_subsets(v0, v1) = v4 & set_meet(v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ~ (element(v1, v3) = 0) | ? [v4] : (union_of_subsets(v0, v1) = v4 & union(v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ~ (element(v1, v3) = 0) | ? [v4] : (complements_of_subsets(v0, v4) = v1 & complements_of_subsets(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ~ (element(v1, v3) = 0) | ? [v4] : (complements_of_subsets(v0, v1) = v4 & ! [v5] : (v5 = v4 | ~ (element(v5, v3) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subset_complement(v0, v6) = v8 & element(v6, v2) = 0 & in(v8, v1) = v9 & in(v6, v5) = v7 & ( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))) & ! [v5] : ( ~ (element(v5, v2) = 0) | ~ (element(v4, v3) = 0) | ? [v6] : ? [v7] : ? [v8] : (subset_complement(v0, v5) = v7 & in(v7, v1) = v8 & in(v5, v4) = v6 & ( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (in(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (element(v1, v3) = 0) | ? [v4] : (subset_difference(v0, v1, v2) = v4 & set_difference(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (in(v1, v2) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & subset_complement(v0, v2) = v4 & in(v1, v4) = v5)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_difference(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0) & (v5 = 0 | (v6 = 0 & ~ (v7 = 0))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (fiber(v1, v2) = v3) | ~ (relation(v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ordered_pair(v4, v2) = v6 & in(v6, v1) = v7 & in(v4, v0) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0) | v4 = v2) & (v5 = 0 | (v7 = 0 & ~ (v4 = v2))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (relation_inverse_image(v1, v2) = v3) | ~ (relation(v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ! [v10] : ! [v11] : ( ~ (ordered_pair(v4, v10) = v11) | ~ (in(v11, v1) = 0) | ? [v12] : ( ~ (v12 = 0) & in(v10, v2) = v12))) & (v5 = 0 | (v9 = 0 & v8 = 0 & ordered_pair(v4, v6) = v7 & in(v7, v1) = 0 & in(v6, v2) = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (relation_image(v1, v2) = v3) | ~ (relation(v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ! [v10] : ! [v11] : ( ~ (ordered_pair(v10, v4) = v11) | ~ (in(v11, v1) = 0) | ? [v12] : ( ~ (v12 = 0) & in(v10, v2) = v12))) & (v5 = 0 | (v9 = 0 & v8 = 0 & ordered_pair(v6, v4) = v7 & in(v7, v1) = 0 & in(v6, v2) = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_intersection2(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)) & (v5 = 0 | (v7 = 0 & v6 = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_union2(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v5 = 0) | ( ~ (v7 = 0) & ~ (v6 = 0))) & (v7 = 0 | v6 = 0 | v5 = 0))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (unordered_pair(v1, v2) = v3) | ? [v4] : ? [v5] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ( ~ (v4 = v2) & ~ (v4 = v1))) & (v5 = 0 | v4 = v2 | v4 = v1))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (cartesian_product2(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ! [v11] : ! [v12] : ( ~ (ordered_pair(v11, v12) = v4) | ? [v13] : ? [v14] : (in(v12, v2) = v14 & in(v11, v1) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & (v5 = 0 | (v10 = v4 & v9 = 0 & v8 = 0 & ordered_pair(v6, v7) = v4 & in(v7, v2) = 0 & in(v6, v1) = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (relation_inverse(v0) = v1) | ~ (relation(v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v3 = 0) & relation(v0) = v3) | (ordered_pair(v4, v3) = v7 & ordered_pair(v3, v4) = v5 & in(v7, v0) = v8 & in(v5, v2) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (inclusion_relation(v0) = v2) | ~ (relation_field(v1) = v0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = 0 & v5 = 0 & subset(v3, v4) = v9 & ordered_pair(v3, v4) = v7 & in(v7, v1) = v8 & in(v4, v0) = 0 & in(v3, v0) = 0 & ( ~ (v9 = 0) | ~ (v8 = 0)) & (v9 = 0 | v8 = 0)) | ( ~ (v3 = 0) & relation(v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (identity_relation(v0) = v2) | ~ (relation(v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ordered_pair(v3, v4) = v5 & in(v5, v1) = v6 & in(v3, v0) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v4 = v3)) & (v6 = 0 | (v7 = 0 & v4 = v3)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (set_union2(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (epsilon_connected(v0) = 0) | ~ (in(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v3] : ? [v4] : (in(v2, v1) = v4 & in(v1, v2) = v3 & (v4 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | v0 = empty_set | ~ (singleton(v1) = v2) | ~ (subset(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (inclusion_relation(v0) = v1) | ~ (relation_field(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & relation(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v0) = v1) | ~ (in(v2, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = empty_set | ~ (set_difference(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = empty_set | ~ (is_well_founded_in(v0, v1) = 0) | ~ (subset(v2, v1) = 0) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : (disjoint(v4, v2) = 0 & fiber(v0, v3) = v4 & in(v3, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (proper_subset(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (are_equipotent(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & equipotent(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_well_founded_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ( ~ (v3 = empty_set) & subset(v3, v1) = 0 & ! [v4] : ! [v5] : ( ~ (disjoint(v5, v3) = 0) | ~ (fiber(v0, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : ? [v4] : (set_intersection2(v0, v1) = v3 & in(v4, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : ( ~ (v3 = v0) & set_difference(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : ( ~ (v3 = empty_set) & set_intersection2(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : (in(v3, v1) = 0 & in(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_reflexive_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ordered_pair(v3, v3) = v4 & in(v4, v0) = v5 & in(v3, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v1) = v0) | ~ (subset(v0, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (subset(empty_set, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (in(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (in(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_transitive_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = 0) & ordered_pair(v4, v5) = v7 & ordered_pair(v3, v5) = v8 & ordered_pair(v3, v4) = v6 & in(v8, v0) = v9 & in(v7, v0) = 0 & in(v6, v0) = 0 & in(v5, v1) = 0 & in(v4, v1) = 0 & in(v3, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_connected_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & ~ (v6 = 0) & ~ (v4 = v3) & ordered_pair(v4, v3) = v7 & ordered_pair(v3, v4) = v5 & in(v7, v0) = v8 & in(v5, v0) = v6 & in(v4, v1) = 0 & in(v3, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_antisymmetric_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v4 = v3) & ordered_pair(v4, v3) = v6 & ordered_pair(v3, v4) = v5 & in(v6, v0) = 0 & in(v5, v0) = 0 & in(v4, v1) = 0 & in(v3, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v1, v0) = v2) | ~ (epsilon_transitive(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v6 = 0 & ~ (v7 = 0) & ordered_pair(v3, v4) = v5 & in(v5, v1) = v7 & in(v5, v0) = 0) | ( ~ (v3 = 0) & relation(v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ordinal_subset(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (ordinal_subset(v1, v0) = v5 & ordinal(v1) = v4 & ordinal(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ordinal_subset(v0, v0) = v2) | ~ (ordinal(v1) = 0) | ? [v3] : ( ~ (v3 = 0) & ordinal(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (relation(v1) = 0) | ~ (empty(v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & v9 = v3 & v8 = 0 & v7 = v3 & v6 = 0 & ~ (v5 = v4) & in(v5, v3) = 0 & in(v4, v3) = 0 & in(v3, v0) = 0 & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (ordered_pair(v5, v11) = v12) | ~ (in(v12, v1) = v13) | ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (ordered_pair(v4, v11) = v12) | ~ (in(v12, v1) = v13) | ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14))) | (v6 = v0 & v5 = 0 & v4 = 0 & relation_dom(v3) = v0 & relation(v3) = 0 & function(v3) = 0 & ! [v11] : ! [v12] : ( ~ (apply(v3, v11) = v12) | ? [v13] : ? [v14] : ((v14 = 0 & v13 = v11 & in(v12, v11) = 0 & ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (ordered_pair(v12, v15) = v16) | ~ (in(v16, v1) = v17) | ? [v18] : ( ~ (v18 = 0) & in(v15, v11) = v18))) | ( ~ (v13 = 0) & in(v11, v0) = v13)))) | (v4 = 0 & in(v3, v0) = 0 & ! [v11] : ( ~ (in(v11, v3) = 0) | ? [v12] : ? [v13] : ? [v14] : ( ~ (v14 = 0) & ordered_pair(v11, v12) = v13 & in(v13, v1) = v14 & in(v12, v3) = 0))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (relation(v1) = 0) | ~ (empty(v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & v9 = v3 & v8 = 0 & v7 = v3 & v6 = 0 & ~ (v5 = v4) & in(v5, v3) = 0 & in(v4, v3) = 0 & in(v3, v0) = 0 & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (ordered_pair(v5, v11) = v12) | ~ (in(v12, v1) = v13) | ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (ordered_pair(v4, v11) = v12) | ~ (in(v12, v1) = v13) | ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14))) | (v5 = 0 & v4 = 0 & relation(v3) = 0 & function(v3) = 0 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (ordered_pair(v11, v12) = v13) | ~ (in(v13, v3) = v14) | ~ (in(v12, v11) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v16 = 0 & ~ (v18 = 0) & ordered_pair(v12, v15) = v17 & in(v17, v1) = v18 & in(v15, v11) = 0) | ( ~ (v15 = 0) & in(v11, v0) = v15))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (ordered_pair(v11, v12) = v13) | ~ (in(v13, v3) = 0) | in(v11, v0) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (ordered_pair(v11, v12) = v13) | ~ (in(v13, v3) = 0) | (in(v12, v11) = 0 & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (ordered_pair(v12, v14) = v15) | ~ (in(v15, v1) = v16) | ? [v17] : ( ~ (v17 = 0) & in(v14, v11) = v17))))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (relation(v1) = 0) | ~ (empty(v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & v9 = v3 & v8 = 0 & v7 = v3 & v6 = 0 & ~ (v5 = v4) & in(v5, v3) = 0 & in(v4, v3) = 0 & in(v3, v0) = 0 & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (ordered_pair(v5, v11) = v12) | ~ (in(v12, v1) = v13) | ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (ordered_pair(v4, v11) = v12) | ~ (in(v12, v1) = v13) | ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14))) | ( ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (in(v13, v0) = 0) | ~ (in(v11, v13) = 0) | ~ (in(v11, v3) = v12) | ? [v14] : ? [v15] : ? [v16] : ( ~ (v16 = 0) & ordered_pair(v11, v14) = v15 & in(v15, v1) = v16 & in(v14, v13) = 0)) & ! [v11] : ( ~ (in(v11, v3) = 0) | ? [v12] : (in(v12, v0) = 0 & in(v11, v12) = 0 & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (ordered_pair(v11, v13) = v14) | ~ (in(v14, v1) = v15) | ? [v16] : ( ~ (v16 = 0) & in(v13, v12) = v16))))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (finite(v1) = 0) | ~ (finite(v0) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ordinal(v1) = 0) | ~ (ordinal(v0) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_empty_yielding(v2) = v1) | ~ (relation_empty_yielding(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_sorted_str(v2) = v1) | ~ (one_sorted_str(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function_inverse(v2) = v1) | ~ (function_inverse(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (meet_absorbing(v2) = v1) | ~ (meet_absorbing(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (latt_str(v2) = v1) | ~ (latt_str(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_inverse(v2) = v1) | ~ (relation_inverse(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (being_limit_ordinal(v2) = v1) | ~ (being_limit_ordinal(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (well_ordering(v2) = v1) | ~ (well_ordering(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (reflexive(v2) = v1) | ~ (reflexive(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (union(v2) = v1) | ~ (union(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cast_to_subset(v2) = v1) | ~ (cast_to_subset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (well_founded_relation(v2) = v1) | ~ (well_founded_relation(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pair_second(v2) = v1) | ~ (pair_second(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (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 | ~ (transitive(v2) = v1) | ~ (transitive(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (connected(v2) = v1) | ~ (connected(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_field(v2) = v1) | ~ (relation_field(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (antisymmetric(v2) = v1) | ~ (antisymmetric(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (identity_relation(v2) = v1) | ~ (identity_relation(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (meet_commutative(v2) = v1) | ~ (meet_commutative(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (meet_semilatt_str(v2) = v1) | ~ (meet_semilatt_str(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty_carrier(v2) = v1) | ~ (empty_carrier(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (join_commutative(v2) = v1) | ~ (join_commutative(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (join_semilatt_str(v2) = v1) | ~ (join_semilatt_str(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (natural(v2) = v1) | ~ (natural(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (preboolean(v2) = v1) | ~ (preboolean(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cup_closed(v2) = v1) | ~ (cup_closed(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (diff_closed(v2) = v1) | ~ (diff_closed(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (finite(v2) = v1) | ~ (finite(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (epsilon_connected(v2) = v1) | ~ (epsilon_connected(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (epsilon_transitive(v2) = v1) | ~ (epsilon_transitive(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ordinal(v2) = v1) | ~ (ordinal(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (relation_rng(v2) = v0) | ~ (finite(v0) = v1) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_dom(v2) = v5 & relation(v2) = v3 & function(v2) = v4 & in(v5, omega) = v6 & ( ~ (v6 = 0) | ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v0 = empty_set | ~ (relation_rng(v1) = v2) | ~ (subset(v0, v2) = 0) | ? [v3] : ? [v4] : (relation_inverse_image(v1, v0) = v4 & relation(v1) = v3 & ( ~ (v4 = empty_set) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v0 = empty_set | ~ (powerset(v0) = v1) | ~ (element(v2, v1) = 0) | ? [v3] : (subset_complement(v0, v2) = v3 & ! [v4] : ! [v5] : (v5 = 0 | ~ (in(v4, v3) = v5) | ? [v6] : ? [v7] : (element(v4, v0) = v6 & in(v4, v2) = v7 & ( ~ (v6 = 0) | v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation(v2) = v7 & relation(v1) = v5 & relation(v0) = v3 & function(v2) = v8 & function(v1) = v6 & function(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | (v8 = 0 & v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (well_ordering(v2) = v5 & well_ordering(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (reflexive(v2) = v5 & reflexive(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (well_founded_relation(v2) = v5 & well_founded_relation(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (transitive(v2) = v5 & transitive(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (connected(v2) = v5 & connected(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (antisymmetric(v2) = v5 & antisymmetric(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (well_orders(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (well_ordering(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_difference(v0, v2) = v0) | ~ (singleton(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_difference(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_difference(v0, v1) = v2) | ? [v3] : ? [v4] : (finite(v2) = v4 & finite(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (equipotent(v0, v2) = 0) | ~ (relation_field(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & well_orders(v3, v0) = 0 & relation(v3) = 0) | (well_ordering(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (union(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : (in(v3, v0) = 0 & in(v2, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (is_well_founded_in(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (well_founded_relation(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (is_well_founded_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (well_orders(v0, v1) = v3 & is_reflexive_in(v0, v1) = v4 & is_transitive_in(v0, v1) = v5 & is_connected_in(v0, v1) = v7 & is_antisymmetric_in(v0, v1) = v6 & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v2 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (disjoint(v2, v1) = 0) | ~ (singleton(v0) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (disjoint(v0, v1) = 0) | ~ (in(v2, v0) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v2, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_of2(v2, v0, v1) = 0) | relation_of2_as_subset(v2, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (is_reflexive_in(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (reflexive(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v2) | ~ (subset(v2, v1) = 0) | in(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v1) | ~ (set_union2(v0, v1) = v2) | succ(v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ordered_pair(v3, v2) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (is_transitive_in(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (transitive(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (is_connected_in(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (connected(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_field(v1) = v2) | ~ (subset(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_restriction(v1, v0) = v5 & well_ordering(v1) = v4 & relation_field(v5) = v6 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v6 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_field(v0) = v1) | ~ (is_antisymmetric_in(v0, v1) = v2) | ? [v3] : ? [v4] : (antisymmetric(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v2) = v5 & relation(v1) = v3 & function(v2) = v6 & function(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom(v0) = v1) | ~ (relation_image(v0, v1) = v2) | ? [v3] : ? [v4] : (relation_rng(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ordered_pair(v2, v3) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_image(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v1) = v3 & function(v1) = v4 & finite(v2) = v6 & finite(v0) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_image(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v0) = v3 & function(v0) = v4 & finite(v2) = v6 & finite(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_empty_yielding(v2) = v6 & relation_empty_yielding(v0) = v4 & relation(v2) = v5 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v2) = v5 & relation(v0) = v3 & function(v2) = v6 & function(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v2, v0) = 0) | ~ (powerset(v0) = v1) | in(v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (identity_relation(v0) = v2) | ~ (function(v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (relation_dom(v1) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = v0) | v2 = v1 | (v6 = 0 & ~ (v7 = v5) & apply(v1, v5) = v7 & in(v5, v0) = 0)) & ( ~ (v2 = v1) | (v4 = v0 & ! [v8] : ! [v9] : (v9 = v8 | ~ (apply(v1, v8) = v9) | ? [v10] : ( ~ (v10 = 0) & in(v8, v0) = v10)))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | pair_second(v2) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | pair_first(v2) = v0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ordinal_subset(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (subset(v0, v1) = v5 & ordinal(v1) = v4 & ordinal(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | v5 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ? [v4] : (finite(v2) = v4 & finite(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ? [v4] : (finite(v2) = v4 & finite(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v1, v0) = v2) | ? [v3] : ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (finite(v2) = v5 & finite(v1) = v4 & finite(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | ? [v3] : ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (empty(v2) = v5 & empty(v1) = v4 & empty(v0) = v3 & ( ~ (v5 = 0) | v4 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) | ? [v3] : ( ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = 0 | ~ (ordered_pair(v6, v7) = v4) | ~ (in(v4, v3) = v5) | ~ (in(v4, v2) = 0) | ? [v8] : ? [v9] : (singleton(v6) = v9 & in(v6, v0) = v8 & ( ~ (v9 = v7) | ~ (v8 = 0)))) & ! [v4] : ( ~ (in(v4, v3) = 0) | ? [v5] : ? [v6] : (singleton(v5) = v6 & ordered_pair(v5, v6) = v4 & in(v5, v0) = 0 & in(v4, v2) = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) | ? [v3] : ( ! [v4] : ! [v5] : ! [v6] : ( ~ (ordered_pair(v5, v6) = v4) | ~ (in(v4, v2) = 0) | ? [v7] : ? [v8] : ((v7 = 0 & in(v4, v3) = 0) | (singleton(v5) = v8 & in(v5, v0) = v7 & ( ~ (v8 = v6) | ~ (v7 = 0))))) & ! [v4] : ! [v5] : (v5 = 0 | ~ (in(v4, v2) = v5) | ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6)) & ! [v4] : ! [v5] : ( ~ (in(v4, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v10 = v7 & v9 = 0 & v8 = v4 & singleton(v6) = v7 & ordered_pair(v6, v7) = v4 & in(v6, v0) = 0) | ( ~ (v6 = 0) & in(v4, v3) = v6))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ (element(v0, v2) = 0) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v2) | ~ (element(v1, v2) = 0) | ? [v3] : (subset_complement(v0, v1) = v3 & set_difference(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (empty(v1) = v2) | ~ (empty(v0) = 0) | ? [v3] : (element(v1, v0) = v3 & ( ~ (v3 = 0) | v2 = 0) & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (epsilon_connected(v1) = v2) | ~ (ordinal(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : (element(v1, v0) = v3 & epsilon_transitive(v1) = v4 & ordinal(v1) = v5 & ( ~ (v3 = 0) | (v5 = 0 & v4 = 0 & v2 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (element(v1, v0) = v2) | ? [v3] : ? [v4] : (empty(v0) = v3 & in(v1, v0) = v4 & (v3 = 0 | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (in(v1, v2) = 0) | ~ (in(v0, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v2, v0) = v3)) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | v1 = empty_set | ~ (set_meet(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v3, v0) = v4 & ( ~ (v4 = 0) | (v6 = 0 & ~ (v7 = 0) & in(v5, v1) = 0 & in(v3, v5) = v7)) & (v4 = 0 | ! [v8] : ! [v9] : (v9 = 0 | ~ (in(v3, v8) = v9) | ? [v10] : ( ~ (v10 = 0) & in(v8, v1) = v10))))) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (union(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v3, v0) = v4 & ( ~ (v4 = 0) | ! [v8] : ( ~ (in(v3, v8) = 0) | ? [v9] : ( ~ (v9 = 0) & in(v8, v1) = v9))) & (v4 = 0 | (v7 = 0 & v6 = 0 & in(v5, v1) = 0 & in(v3, v5) = 0)))) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v1) = v2) | ? [v3] : ? [v4] : (in(v3, v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = v1)) & (v4 = 0 | v3 = v1))) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (relation_rng(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) | ! [v8] : ! [v9] : ( ~ (ordered_pair(v8, v3) = v9) | ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v5, v3) = v6 & in(v6, v1) = 0))))) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (relation_dom(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) | ! [v8] : ! [v9] : ( ~ (ordered_pair(v3, v8) = v9) | ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v3, v5) = v6 & in(v6, v1) = 0))))) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (powerset(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (subset(v3, v1) = v5 & in(v3, v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 = 0))) & ? [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ? [v3] : (( ~ (v3 = 0) & ordinal(v1) = v3) | ( ! [v4] : ! [v5] : (v5 = 0 | ~ (ordinal(v4) = 0) | ~ (in(v4, v3) = v5) | ~ (in(v4, v2) = 0) | ? [v6] : ( ~ (v6 = 0) & in(v4, v0) = v6)) & ! [v4] : ( ~ (in(v4, v3) = 0) | (ordinal(v4) = 0 & in(v4, v2) = 0 & in(v4, v0) = 0))))) & ? [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ? [v3] : (( ~ (v3 = 0) & ordinal(v1) = v3) | ( ! [v4] : ! [v5] : (v5 = 0 | ~ (in(v4, v2) = v5) | ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6)) & ! [v4] : ! [v5] : ( ~ (in(v4, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ((v8 = 0 & v7 = 0 & v6 = v4 & ordinal(v4) = 0 & in(v4, v0) = 0) | ( ~ (v6 = 0) & in(v4, v3) = v6))) & ! [v4] : ( ~ (ordinal(v4) = 0) | ~ (in(v4, v2) = 0) | ? [v5] : ((v5 = 0 & in(v4, v3) = 0) | ( ~ (v5 = 0) & in(v4, v0) = v5)))))) & ? [v0] : ! [v1] : ! [v2] : ( ~ (relation(v1) = 0) | ~ (function(v2) = 0) | ? [v3] : ? [v4] : ((v4 = 0 & relation(v3) = 0 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (apply(v2, v6) = v8) | ~ (apply(v2, v5) = v7) | ~ (ordered_pair(v7, v8) = v9) | ~ (in(v9, v1) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (ordered_pair(v5, v6) = v11 & in(v11, v3) = v12 & in(v6, v0) = v14 & in(v5, v0) = v13 & ( ~ (v12 = 0) | (v14 = 0 & v13 = 0 & v10 = 0)))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (apply(v2, v6) = v8) | ~ (apply(v2, v5) = v7) | ~ (ordered_pair(v7, v8) = v9) | ~ (in(v9, v1) = 0) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (ordered_pair(v5, v6) = v12 & in(v12, v3) = v13 & in(v6, v0) = v11 & in(v5, v0) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | v13 = 0)))) | ( ~ (v3 = 0) & relation(v2) = v3))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_difference(v0, empty_set) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (union(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & being_limit_ordinal(v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (cast_to_subset(v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (subset(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & subset(v1, v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_union2(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_union2(v0, empty_set) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (relation(v1) = 0) | ~ (relation(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (ordered_pair(v2, v3) = v4 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)) & (v6 = 0 | v5 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (ordinal(v1) = 0) | ~ (ordinal(v0) = 0) | ? [v2] : ? [v3] : (in(v1, v0) = v3 & in(v0, v1) = v2 & (v3 = 0 | v2 = 0))) & ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_difference(empty_set, v0) = v1)) & ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_intersection2(v0, empty_set) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (one_sorted_str(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & meet_semilatt_str(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (one_sorted_str(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & join_semilatt_str(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (being_limit_ordinal(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & v3 = 0 & ~ (v6 = 0) & succ(v2) = v5 & ordinal(v2) = 0 & in(v5, v0) = v6 & in(v2, v0) = 0) | ( ~ (v2 = 0) & ordinal(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (being_limit_ordinal(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & succ(v2) = v0 & ordinal(v2) = 0) | ( ~ (v2 = 0) & ordinal(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (equipotent(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (transitive(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v8 = 0 & v6 = 0 & ~ (v10 = 0) & ordered_pair(v3, v4) = v7 & ordered_pair(v2, v4) = v9 & ordered_pair(v2, v3) = v5 & in(v9, v0) = v10 & in(v7, v0) = 0 & in(v5, v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (antisymmetric(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v5 = 0 & ~ (v3 = v2) & ordered_pair(v3, v2) = v6 & ordered_pair(v2, v3) = v4 & in(v6, v0) = 0 & in(v4, v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(empty_set, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (relation(v0) = v1) | ? [v2] : (in(v2, v0) = 0 & ! [v3] : ! [v4] : ~ (ordered_pair(v3, v4) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (function(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v4 = v3) & ordered_pair(v2, v4) = v6 & ordered_pair(v2, v3) = v5 & in(v6, v0) = 0 & in(v5, v0) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (preboolean(v0) = v1) | ? [v2] : ? [v3] : (cup_closed(v0) = v2 & diff_closed(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (finite(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = v0 & v4 = 0 & v3 = 0 & relation_dom(v2) = v0 & relation(v2) = 0 & function(v2) = 0 & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (apply(v2, v6) = v7) | ~ (in(v7, v6) = v8) | ? [v9] : ( ~ (v9 = 0) & in(v6, v0) = v9))) | (v3 = 0 & v2 = empty_set & in(empty_set, v0) = 0))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v0) = v2 & finite(v3) = 0 & empty(v3) = v4 & element(v3, v2) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v0) = v2 & empty(v3) = v4 & element(v3, v2) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation_dom(v0) = v3 & relation(v0) = v2 & empty(v3) = v4 & ( ~ (v4 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (epsilon_connected(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ~ (v4 = 0) & ~ (v3 = v2) & in(v3, v2) = v5 & in(v3, v0) = 0 & in(v2, v3) = v4 & in(v2, v0) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (epsilon_transitive(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & subset(v2, v0) = v3 & in(v2, v0) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (ordinal(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (subset(v2, v0) = v4 & ordinal(v2) = v3 & in(v2, v0) = 0 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : (v0 = empty_set | ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ( ~ (v3 = empty_set) & ~ (v1 = empty_set))))) & ! [v0] : ! [v1] : (v0 = empty_set | ~ (subset(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & ordinal(v2) = 0 & in(v2, v0) = 0 & ! [v5] : ! [v6] : (v6 = 0 | ~ (ordinal_subset(v2, v5) = v6) | ? [v7] : ? [v8] : (ordinal(v5) = v7 & in(v5, v0) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0))))) | ( ~ (v2 = 0) & ordinal(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (are_equipotent(v0, v1) = 0) | equipotent(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_rng(v1) = v8 & relation_rng(v0) = v5 & relation_dom(v1) = v6 & relation_dom(v0) = v7 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | (v8 = v7 & v6 = v5)))) & ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_rng(v0) = v5 & relation_dom(v0) = v6 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ! [v7] : ( ~ (function(v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (relation_dom(v7) = v9 & relation(v7) = v8 & ( ~ (v8 = 0) | (( ~ (v9 = v5) | v7 = v1 | (apply(v7, v10) = v13 & apply(v0, v11) = v15 & in(v11, v6) = v14 & in(v10, v5) = v12 & ((v15 = v10 & v14 = 0 & ( ~ (v13 = v11) | ~ (v12 = 0))) | (v13 = v11 & v12 = 0 & ( ~ (v15 = v10) | ~ (v14 = 0)))))) & ( ~ (v7 = v1) | (v9 = v5 & ! [v16] : ! [v17] : ! [v18] : ( ~ (in(v17, v6) = v18) | ~ (in(v16, v5) = 0) | ? [v19] : ? [v20] : (apply(v1, v16) = v19 & apply(v0, v17) = v20 & ( ~ (v19 = v17) | (v20 = v16 & v18 = 0)))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (in(v17, v6) = 0) | ~ (in(v16, v5) = v18) | ? [v19] : ? [v20] : (apply(v1, v16) = v20 & apply(v0, v17) = v19 & ( ~ (v19 = v16) | (v20 = v17 & v18 = 0))))))))))))) & ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (relation_inverse(v0) = v5 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v5 = v1))) & ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (one_to_one(v1) = v5 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (relation(v1) = v4 & relation(v0) = v2 & function(v1) = v5 & function(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ( ~ (meet_absorbing(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (latt_str(v0) = v3 & the_carrier(v0) = v4 & empty_carrier(v0) = v2 & ( ~ (v3 = 0) | v2 = 0 | (( ~ (v1 = 0) | ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (meet(v0, v11, v12) = v13) | ~ (join(v0, v13, v12) = v14) | ~ (element(v11, v4) = 0) | ? [v15] : ( ~ (v15 = 0) & element(v12, v4) = v15))) & (v1 = 0 | (v8 = 0 & v6 = 0 & ~ (v10 = v7) & meet(v0, v5, v7) = v9 & join(v0, v9, v7) = v10 & element(v7, v4) = 0 & element(v5, v4) = 0)))))) & ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_rng(v1) = v6 & relation_rng(v0) = v3 & relation_dom(v1) = v4 & relation_dom(v0) = v5 & relation(v0) = v2 & ( ~ (v2 = 0) | (v6 = v5 & v4 = v3)))) & ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (one_to_one(v0) = v4 & relation(v1) = v5 & relation(v0) = v2 & function(v1) = v6 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : (relation_inverse(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = v0))) & ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : (relation(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (well_orders(v1, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (relation_restriction(v1, v0) = v3 & well_ordering(v3) = v5 & relation_field(v3) = v4 & relation(v1) = v2 & ( ~ (v2 = 0) | (v5 = 0 & v4 = v0)))) & ! [v0] : ! [v1] : ( ~ (being_limit_ordinal(v0) = 0) | ~ (succ(v1) = v0) | ? [v2] : (( ~ (v2 = 0) & ordinal(v1) = v2) | ( ~ (v2 = 0) & ordinal(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (set_difference(v0, v1) = empty_set) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (equipotent(v0, v1) = 0) | equipotent(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (equipotent(v0, v1) = 0) | ? [v2] : (relation_rng(v2) = v1 & relation_dom(v2) = v0 & one_to_one(v2) = 0 & relation(v2) = 0 & function(v2) = 0)) & ! [v0] : ! [v1] : ( ~ (reflexive(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) | ! [v8] : ( ~ (in(v8, v3) = 0) | ? [v9] : (ordered_pair(v8, v8) = v9 & in(v9, v0) = 0))) & (v1 = 0 | (v5 = 0 & ~ (v7 = 0) & ordered_pair(v4, v4) = v6 & in(v6, v0) = v7 & in(v4, v3) = 0)))))) & ! [v0] : ! [v1] : ( ~ (union(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (epsilon_connected(v1) = v4 & epsilon_transitive(v1) = v3 & ordinal(v1) = v5 & ordinal(v0) = v2 & ( ~ (v2 = 0) | (v5 = 0 & v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ( ~ (is_well_founded_in(v0, v1) = 0) | ~ (relation(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (well_orders(v0, v1) = v6 & is_reflexive_in(v0, v1) = v2 & is_transitive_in(v0, v1) = v3 & is_connected_in(v0, v1) = v5 & is_antisymmetric_in(v0, v1) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ( ~ (well_founded_relation(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (well_ordering(v0) = v3 & reflexive(v0) = v4 & transitive(v0) = v5 & connected(v0) = v7 & antisymmetric(v0) = v6 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v1 = 0) | v3 = 0) & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v1 = 0)))))) & ! [v0] : ! [v1] : ( ~ (well_founded_relation(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (reflexive(v0) = v3 & transitive(v0) = v4 & connected(v0) = v5 & antisymmetric(v0) = v6 & relation(v0) = v2 & ( ~ (v2 = 0) | ! [v7] : ! [v8] : ( ~ (well_founded_relation(v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (reflexive(v7) = v10 & transitive(v7) = v11 & connected(v7) = v12 & antisymmetric(v7) = v13 & relation(v7) = v9 & ( ~ (v9 = 0) | ( ! [v14] : ( ~ (v6 = 0) | v13 = 0 | ~ (relation_isomorphism(v0, v7, v14) = 0) | ? [v15] : ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v14] : ( ~ (v5 = 0) | v12 = 0 | ~ (relation_isomorphism(v0, v7, v14) = 0) | ? [v15] : ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v14] : ( ~ (v4 = 0) | v11 = 0 | ~ (relation_isomorphism(v0, v7, v14) = 0) | ? [v15] : ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v14] : ( ~ (v3 = 0) | v10 = 0 | ~ (relation_isomorphism(v0, v7, v14) = 0) | ? [v15] : ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v14] : ( ~ (v1 = 0) | v8 = 0 | ~ (relation_isomorphism(v0, v7, v14) = 0) | ? [v15] : ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) | ~ (v15 = 0))))))))))) & ! [v0] : ! [v1] : ( ~ (well_founded_relation(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) | ! [v6] : (v6 = empty_set | ~ (subset(v6, v3) = 0) | ? [v7] : ? [v8] : (disjoint(v8, v6) = 0 & fiber(v0, v7) = v8 & in(v7, v6) = 0))) & (v1 = 0 | (v5 = 0 & ~ (v4 = empty_set) & subset(v4, v3) = 0 & ! [v6] : ! [v7] : ( ~ (disjoint(v7, v4) = 0) | ~ (fiber(v0, v6) = v7) | ? [v8] : ( ~ (v8 = 0) & in(v6, v4) = v8)))))))) & ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_difference(v0, v1) = v0) & ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | disjoint(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_intersection2(v0, v1) = empty_set) & ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | ? [v2] : (set_intersection2(v0, v1) = v2 & ! [v3] : ~ (in(v3, v2) = 0))) & ! [v0] : ! [v1] : ( ~ (the_L_meet(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (meet_semilatt_str(v0) = v3 & the_carrier(v0) = v4 & empty_carrier(v0) = v2 & ( ~ (v3 = 0) | v2 = 0 | ! [v5] : ! [v6] : ! [v7] : ( ~ (apply_binary_as_element(v4, v4, v4, v1, v5, v6) = v7) | ~ (element(v5, v4) = 0) | ? [v8] : ? [v9] : (meet(v0, v5, v6) = v9 & element(v6, v4) = v8 & ( ~ (v8 = 0) | v9 = v7)))))) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | reflexive(v1) = 0) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | transitive(v1) = 0) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | antisymmetric(v1) = 0) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | relation(v1) = 0) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ? [v2] : ? [v3] : (well_ordering(v1) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ? [v2] : ? [v3] : (well_founded_relation(v1) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ? [v2] : ? [v3] : (connected(v1) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | finite(v1) = 0) & ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (empty(v1) = v3 & epsilon_connected(v1) = v5 & epsilon_transitive(v1) = v4 & ordinal(v1) = v6 & ordinal(v0) = v2 & ( ~ (v2 = 0) | (v6 = 0 & v5 = 0 & v4 = 0 & ~ (v3 = 0))))) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & ordinal(v0) = v2) | ( ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (in(v3, v2) = v4) | ~ (in(v3, v1) = 0) | ~ (in(v3, omega) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (powerset(v7) = v8 & powerset(v3) = v7 & ordinal(v3) = v6 & ( ~ (v6 = 0) | (v10 = 0 & v5 = 0 & ~ (v9 = empty_set) & element(v9, v8) = 0 & ! [v11] : ( ~ (in(v11, v9) = 0) | ? [v12] : ( ~ (v12 = v11) & subset(v11, v12) = 0 & in(v12, v9) = 0)))))) & ! [v3] : ( ~ (in(v3, v2) = 0) | ? [v4] : ? [v5] : ? [v6] : (powerset(v5) = v6 & powerset(v3) = v5 & ordinal(v3) = 0 & in(v3, v1) = 0 & in(v3, omega) = v4 & ( ~ (v4 = 0) | ! [v7] : (v7 = empty_set | ~ (element(v7, v6) = 0) | ? [v8] : (in(v8, v7) = 0 & ! [v9] : (v9 = v8 | ~ (subset(v8, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & in(v9, v7) = v10)))))))))) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & ordinal(v0) = v2) | ( ! [v3] : ! [v4] : (v4 = 0 | ~ (in(v3, v1) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v3, v2) = v5)) & ! [v3] : ! [v4] : ( ~ (in(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = 0 & v5 = v3 & powerset(v8) = v9 & powerset(v3) = v8 & ordinal(v3) = 0 & in(v3, omega) = v7 & ( ~ (v7 = 0) | ! [v10] : (v10 = empty_set | ~ (element(v10, v9) = 0) | ? [v11] : (in(v11, v10) = 0 & ! [v12] : (v12 = v11 | ~ (subset(v11, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & in(v12, v10) = v13)))))) | ( ~ (v5 = 0) & in(v3, v2) = v5))) & ! [v3] : ! [v4] : ( ~ (in(v3, v1) = 0) | ~ (in(v3, omega) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v5 = 0 & in(v3, v2) = 0) | (powerset(v6) = v7 & powerset(v3) = v6 & ordinal(v3) = v5 & ( ~ (v5 = 0) | (v9 = 0 & v4 = 0 & ~ (v8 = empty_set) & element(v8, v7) = 0 & ! [v10] : ( ~ (in(v10, v8) = 0) | ? [v11] : ( ~ (v11 = v10) & subset(v10, v11) = 0 & in(v11, v8) = 0)))))))))) & ! [v0] : ! [v1] : ( ~ (the_L_join(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (the_carrier(v0) = v4 & empty_carrier(v0) = v2 & join_semilatt_str(v0) = v3 & ( ~ (v3 = 0) | v2 = 0 | ! [v5] : ! [v6] : ! [v7] : ( ~ (apply_binary_as_element(v4, v4, v4, v1, v5, v6) = v7) | ~ (element(v5, v4) = 0) | ? [v8] : ? [v9] : (join(v0, v5, v6) = v9 & element(v6, v4) = v8 & ( ~ (v8 = 0) | v9 = v7)))))) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & finite(v4) = v5 & finite(v1) = v6 & ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0) | ( ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | ~ (in(v7, v4) = 0) | ~ (in(v5, v1) = v6) | ? [v8] : ( ~ (v8 = v5) & apply(v0, v7) = v8)) & ! [v5] : ( ~ (in(v5, v1) = 0) | ? [v6] : (apply(v0, v6) = v5 & in(v6, v4) = 0)) & ? [v5] : (v5 = v1 | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (in(v6, v5) = v7 & ( ~ (v7 = 0) | ! [v11] : ( ~ (in(v11, v4) = 0) | ? [v12] : ( ~ (v12 = v6) & apply(v0, v11) = v12))) & (v7 = 0 | (v10 = v6 & v9 = 0 & apply(v0, v8) = v6 & in(v8, v4) = 0)))))))) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v0) = v3 & empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | v2 = 0))) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_rng(v4) = v5) | ~ (subset(v1, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (relation_dom(v4) = v9 & subset(v3, v9) = v10 & subset(v0, v4) = v8 & relation(v4) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (v10 = 0 & v6 = 0))))))) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ( ~ (relation_rng(v4) = v5) | ~ (subset(v3, v5) = 0) | ? [v6] : ? [v7] : ? [v8] : (relation_composition(v4, v0) = v7 & relation_rng(v7) = v8 & relation(v4) = v6 & ( ~ (v6 = 0) | v8 = v1)))))) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ( ~ (relation_dom(v4) = v5) | ~ (subset(v1, v5) = 0) | ? [v6] : ? [v7] : ? [v8] : (relation_composition(v0, v4) = v7 & relation_dom(v7) = v8 & relation(v4) = v6 & ( ~ (v6 = 0) | v8 = v3)))))) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v3 = empty_set) | v1 = empty_set) & ( ~ (v1 = empty_set) | v3 = empty_set))))) & ! [v0] : ! [v1] : ( ~ (connected(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) | ! [v12] : ! [v13] : (v13 = v12 | ~ (in(v13, v3) = 0) | ~ (in(v12, v3) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : (ordered_pair(v13, v12) = v16 & ordered_pair(v12, v13) = v14 & in(v16, v0) = v17 & in(v14, v0) = v15 & (v17 = 0 | v15 = 0)))) & (v1 = 0 | (v7 = 0 & v6 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v5 = v4) & ordered_pair(v5, v4) = v10 & ordered_pair(v4, v5) = v8 & in(v10, v0) = v11 & in(v8, v0) = v9 & in(v5, v3) = 0 & in(v4, v3) = 0)))))) & ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_rng(v1) = v0) & ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_dom(v1) = v0) & ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | relation(v1) = 0) & ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | function(v1) = 0) & ! [v0] : ! [v1] : ( ~ (unordered_pair(v0, v0) = v1) | singleton(v0) = v1) & ! [v0] : ! [v1] : ( ~ (one_to_one(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0) | (( ~ (v1 = 0) | ! [v11] : ! [v12] : (v12 = v11 | ~ (in(v12, v4) = 0) | ~ (in(v11, v4) = 0) | ? [v13] : ? [v14] : ( ~ (v14 = v13) & apply(v0, v12) = v14 & apply(v0, v11) = v13))) & (v1 = 0 | (v10 = v9 & v8 = 0 & v7 = 0 & ~ (v6 = v5) & apply(v0, v6) = v9 & apply(v0, v5) = v9 & in(v6, v4) = 0 & in(v5, v4) = 0)))))) & ! [v0] : ! [v1] : ( ~ (one_to_one(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v0) = v2 & function(v0) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v1 = 0))) & ! [v0] : ! [v1] : ( ~ (natural(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (empty(v0) = v2 & epsilon_connected(v0) = v5 & epsilon_transitive(v0) = v4 & ordinal(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v5 = 0 & v4 = 0 & v1 = 0)))) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | union(v1) = v0) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | preboolean(v1) = 0) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | cup_closed(v1) = 0) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | diff_closed(v1) = 0) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (one_to_one(v2) = 0 & natural(v2) = 0 & relation(v2) = 0 & function(v2) = 0 & finite(v2) = 0 & empty(v2) = 0 & epsilon_connected(v2) = 0 & element(v2, v1) = 0 & epsilon_transitive(v2) = 0 & ordinal(v2) = 0)) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (empty(v2) = 0 & element(v2, v1) = 0)) & ! [v0] : ! [v1] : ( ~ (relation(v0) = 0) | ~ (in(v1, v0) = 0) | ? [v2] : ? [v3] : ordered_pair(v2, v3) = v1) & ! [v0] : ! [v1] : ( ~ (epsilon_connected(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (empty(v0) = v2 & epsilon_transitive(v0) = v3 & ordinal(v0) = v4 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0 & v1 = 0)))) & ! [v0] : ! [v1] : ( ~ (epsilon_connected(v0) = v1) | ? [v2] : ? [v3] : (epsilon_transitive(v0) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0)))) & ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0))) & ! [v0] : ! [v1] : ( ~ (epsilon_transitive(v0) = 0) | ~ (proper_subset(v0, v1) = 0) | ? [v2] : ? [v3] : (ordinal(v1) = v2 & in(v0, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (proper_subset(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & subset(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (proper_subset(v0, v1) = 0) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (proper_subset(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & proper_subset(v1, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : (in(v2, v1) = 0 & ! [v3] : ( ~ (in(v3, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & in(v3, v2) = v4)))) & ? [v0] : ! [v1] : ( ~ (function(v1) = 0) | ? [v2] : ? [v3] : (relation_dom(v1) = v3 & relation(v1) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_composition(v4, v1) = v5) | ~ (relation_dom(v5) = v6) | ~ (in(v0, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (relation_dom(v4) = v10 & apply(v4, v0) = v12 & relation(v4) = v8 & function(v4) = v9 & in(v12, v3) = v13 & in(v0, v10) = v11 & ( ~ (v9 = 0) | ~ (v8 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0) | v7 = 0) & ( ~ (v7 = 0) | (v13 = 0 & v11 = 0))))))))) & ? [v0] : ! [v1] : ( ~ (function(v1) = 0) | ? [v2] : ? [v3] : (relation_dom(v1) = v3 & relation(v1) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_dom(v4) = v5) | ~ (set_intersection2(v5, v0) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (relation_dom_restriction(v4, v0) = v9 & relation(v4) = v7 & function(v4) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = v1) | (v6 = v3 & ! [v14] : ( ~ (in(v14, v3) = 0) | ? [v15] : (apply(v4, v14) = v15 & apply(v1, v14) = v15)))) & ( ~ (v6 = v3) | v9 = v1 | (v11 = 0 & ~ (v13 = v12) & apply(v4, v10) = v13 & apply(v1, v10) = v12 & in(v10, v3) = 0))))))))) & ? [v0] : ! [v1] : ( ~ (ordinal(v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & ordinal(v2) = 0 & in(v2, v0) = 0 & ! [v5] : ! [v6] : (v6 = 0 | ~ (ordinal_subset(v2, v5) = v6) | ? [v7] : ? [v8] : (ordinal(v5) = v7 & in(v5, v0) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0))))) | ( ~ (v2 = 0) & in(v1, v0) = v2))) & ! [v0] : (v0 = empty_set | ~ (set_meet(empty_set) = v0)) & ! [v0] : (v0 = empty_set | ~ (subset(v0, empty_set) = 0)) & ! [v0] : (v0 = empty_set | ~ (relation(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (ordered_pair(v1, v2) = v3 & in(v3, v0) = 0)) & ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0)) & ! [v0] : (v0 = omega | ~ (in(empty_set, v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v4 = 0 & v3 = 0 & v2 = 0 & ~ (v5 = 0) & being_limit_ordinal(v1) = 0 & subset(v0, v1) = v5 & ordinal(v1) = 0 & in(empty_set, v1) = 0) | (being_limit_ordinal(v0) = v1 & ordinal(v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0))))) & ! [v0] : ( ~ (one_sorted_str(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (the_carrier(v0) = v2 & empty_carrier(v0) = v1 & powerset(v2) = v3 & (v1 = 0 | (v5 = 0 & ~ (v6 = 0) & empty(v4) = v6 & element(v4, v3) = 0)))) & ! [v0] : ( ~ (one_sorted_str(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (the_carrier(v0) = v2 & empty_carrier(v0) = v1 & empty(v2) = v3 & ( ~ (v3 = 0) | v1 = 0))) & ! [v0] : ( ~ (meet_absorbing(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (latt_str(v0) = v3 & meet_commutative(v0) = v2 & the_carrier(v0) = v4 & empty_carrier(v0) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | v1 = 0 | ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (below(v0, v7, v5) = v8) | ~ (meet_commut(v0, v5, v6) = v7) | ~ (element(v5, v4) = 0) | ? [v9] : ( ~ (v9 = 0) & element(v6, v4) = v9))))) & ! [v0] : ( ~ (latt_str(v0) = 0) | (meet_semilatt_str(v0) = 0 & join_semilatt_str(v0) = 0)) & ! [v0] : ( ~ (union(v0) = v0) | being_limit_ordinal(v0) = 0) & ! [v0] : ~ (singleton(v0) = empty_set) & ! [v0] : ( ~ (join_semilatt_str(v0) = 0) | ? [v1] : ? [v2] : (the_carrier(v0) = v2 & empty_carrier(v0) = v1 & (v1 = 0 | ! [v3] : ! [v4] : ( ~ (element(v4, v2) = 0) | ~ (element(v3, v2) = 0) | ? [v5] : ? [v6] : (below(v0, v3, v4) = v5 & join(v0, v3, v4) = v6 & ( ~ (v6 = v4) | v5 = 0) & ( ~ (v5 = 0) | v6 = v4)))))) & ! [v0] : ( ~ (natural(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (succ(v0) = v2 & natural(v2) = v7 & empty(v2) = v3 & epsilon_connected(v2) = v5 & epsilon_transitive(v2) = v4 & ordinal(v2) = v6 & ordinal(v0) = v1 & ( ~ (v1 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & ~ (v3 = 0))))) & ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | ~ (relation_image(v0, v3) = v4) | ~ (in(v7, v2) = 0) | ~ (in(v5, v4) = v6) | ? [v8] : ? [v9] : (apply(v0, v7) = v9 & in(v7, v3) = v8 & ( ~ (v9 = v5) | ~ (v8 = 0)))) & ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_image(v0, v3) = v4) | ~ (in(v5, v4) = 0) | ? [v6] : (apply(v0, v6) = v5 & in(v6, v3) = 0 & in(v6, v2) = 0)) & ? [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (relation_image(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (in(v6, v3) = v7 & ( ~ (v7 = 0) | ! [v12] : ( ~ (in(v12, v2) = 0) | ? [v13] : ? [v14] : (apply(v0, v12) = v14 & in(v12, v4) = v13 & ( ~ (v14 = v6) | ~ (v13 = 0))))) & (v7 = 0 | (v11 = v6 & v10 = 0 & v9 = 0 & apply(v0, v8) = v6 & in(v8, v4) = 0 & in(v8, v2) = 0)))))))) & ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_inverse_image(v0, v3) = v4) | ~ (apply(v0, v5) = v6) | ~ (in(v6, v3) = v7) | ? [v8] : ? [v9] : (in(v5, v4) = v8 & in(v5, v2) = v9 & ( ~ (v8 = 0) | (v9 = 0 & v7 = 0)))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_inverse_image(v0, v3) = v4) | ~ (apply(v0, v5) = v6) | ~ (in(v6, v3) = 0) | ? [v7] : ? [v8] : (in(v5, v4) = v8 & in(v5, v2) = v7 & ( ~ (v7 = 0) | v8 = 0))) & ? [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (relation_inverse_image(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (apply(v0, v6) = v9 & in(v9, v4) = v10 & in(v6, v3) = v7 & in(v6, v2) = v8 & ( ~ (v10 = 0) | ~ (v8 = 0) | ~ (v7 = 0)) & (v7 = 0 | (v10 = 0 & v8 = 0)))))))) & ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (ordered_pair(v3, v4) = v5) | ~ (in(v5, v0) = v6) | ? [v7] : ? [v8] : (apply(v0, v3) = v8 & in(v3, v2) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = v4) | v6 = 0) & ( ~ (v6 = 0) | v8 = v4))))) & ? [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (in(v4, v2) = v5) | ? [v6] : (apply(v0, v4) = v6 & ( ~ (v6 = v3) | v3 = empty_set) & ( ~ (v3 = empty_set) | v6 = empty_set))))))) & ! [v0] : ( ~ (preboolean(v0) = 0) | (cup_closed(v0) = 0 & diff_closed(v0) = 0)) & ! [v0] : ( ~ (finite(v0) = 0) | ? [v1] : ? [v2] : (relation_rng(v1) = v0 & relation_dom(v1) = v2 & relation(v1) = 0 & function(v1) = 0 & in(v2, omega) = 0)) & ! [v0] : ( ~ (finite(v0) = 0) | ? [v1] : ? [v2] : (powerset(v1) = v2 & powerset(v0) = v1 & ! [v3] : (v3 = empty_set | ~ (element(v3, v2) = 0) | ? [v4] : (in(v4, v3) = 0 & ! [v5] : (v5 = v4 | ~ (subset(v4, v5) = 0) | ? [v6] : ( ~ (v6 = 0) & in(v5, v3) = v6)))))) & ! [v0] : ( ~ (finite(v0) = 0) | ? [v1] : (powerset(v0) = v1 & ! [v2] : ( ~ (element(v2, v1) = 0) | finite(v2) = 0))) & ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0) & ! [v0] : ( ~ (empty(v0) = 0) | function(v0) = 0) & ! [v0] : ( ~ (empty(v0) = 0) | ? [v1] : (relation_dom(v0) = v1 & relation(v1) = 0 & empty(v1) = 0)) & ! [v0] : ( ~ (epsilon_connected(v0) = 0) | ? [v1] : ? [v2] : (epsilon_transitive(v0) = v1 & ordinal(v0) = v2 & ( ~ (v1 = 0) | v2 = 0))) & ! [v0] : ( ~ (element(v0, omega) = 0) | (natural(v0) = 0 & epsilon_connected(v0) = 0 & epsilon_transitive(v0) = 0 & ordinal(v0) = 0)) & ! [v0] : ~ (proper_subset(v0, v0) = 0) & ! [v0] : ~ (in(v0, empty_set) = 0) & ! [v0] : ( ~ (in(empty_set, v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (being_limit_ordinal(v0) = v2 & subset(omega, v0) = v3 & ordinal(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = 0))) & ? [v0] : ? [v1] : ? [v2] : relation_of2(v2, v0, v1) = 0 & ? [v0] : ? [v1] : ? [v2] : relation_of2_as_subset(v2, v0, v1) = 0 & ? [v0] : ? [v1] : ? [v2] : (relation_of2(v2, v0, v1) = 0 & quasi_total(v2, v0, v1) = 0 & relation(v2) = 0 & function(v2) = 0) & ? [v0] : ? [v1] : ? [v2] : (relation_of2(v2, v0, v1) = 0 & relation(v2) = 0 & function(v2) = 0) & ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ? [v4] : (in(v2, v1) = v4 & in(v2, v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 | v3 = 0))) & ? [v0] : ? [v1] : element(v1, v0) = 0 & ? [v0] : ? [v1] : (well_orders(v1, v0) = 0 & relation(v1) = 0) & ? [v0] : ? [v1] : (relation_dom(v1) = v0 & relation(v1) = 0 & function(v1) = 0 & ! [v2] : ! [v3] : ( ~ (singleton(v2) = v3) | ? [v4] : ? [v5] : (apply(v1, v2) = v5 & in(v2, v0) = v4 & ( ~ (v4 = 0) | v5 = v3)))) & ? [v0] : ? [v1] : (relation(v1) = 0 & function(v1) = 0 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (ordered_pair(v2, v3) = v4) | ~ (in(v4, v1) = v5) | ? [v6] : ? [v7] : (singleton(v2) = v7 & in(v2, v0) = v6 & ( ~ (v7 = v3) | ~ (v6 = 0)))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) | ~ (in(v4, v1) = 0) | (singleton(v2) = v3 & in(v2, v0) = 0))) & ? [v0] : ? [v1] : (in(v0, v1) = 0 & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (powerset(v2) = v3) | ~ (in(v3, v1) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v2, v1) = v5)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (are_equipotent(v2, v1) = v3) | ? [v4] : ? [v5] : (subset(v2, v1) = v4 & in(v2, v1) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ! [v3] : ( ~ (subset(v3, v2) = 0) | ? [v4] : ? [v5] : (in(v3, v1) = v5 & in(v2, v1) = v4 & ( ~ (v4 = 0) | v5 = 0)))) & ? [v0] : ? [v1] : (in(v0, v1) = 0 & ! [v2] : ! [v3] : (v3 = 0 | ~ (are_equipotent(v2, v1) = v3) | ? [v4] : ? [v5] : (subset(v2, v1) = v4 & in(v2, v1) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ! [v3] : ( ~ (subset(v3, v2) = 0) | ? [v4] : ? [v5] : (in(v3, v1) = v5 & in(v2, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ( ~ (in(v2, v1) = 0) | ? [v3] : (in(v3, v1) = 0 & ! [v4] : ( ~ (subset(v4, v2) = 0) | in(v4, v3) = 0)))) & ? [v0] : ? [v1] : ( ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (singleton(v4) = v2) | ~ (in(v2, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = v5)) & ! [v2] : ( ~ (in(v2, v1) = 0) | ? [v3] : (singleton(v3) = v2 & in(v3, v0) = 0))) & ? [v0] : ? [v1] : ( ! [v2] : ! [v3] : ( ~ (ordinal(v2) = v3) | ? [v4] : ? [v5] : (in(v2, v1) = v4 & in(v2, v0) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0)))) & ! [v2] : ( ~ (ordinal(v2) = 0) | ? [v3] : ? [v4] : (in(v2, v1) = v4 & in(v2, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))) & ? [v0] : ? [v1] : ( ! [v2] : ! [v3] : ( ~ (ordinal(v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = v2 & v3 = 0 & in(v2, v0) = 0) | ( ~ (v4 = 0) & in(v2, v1) = v4))) & ! [v2] : ( ~ (ordinal(v2) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0)) & ? [v0] : (v0 = empty_set | ? [v1] : in(v1, v0) = 0) & ( ! [v0] : ( ~ (in(v0, omega) = 0) | ? [v1] : ? [v2] : ? [v3] : (powerset(v2) = v3 & powerset(v0) = v2 & ordinal(v0) = v1 & ( ~ (v1 = 0) | ! [v4] : (v4 = empty_set | ~ (element(v4, v3) = 0) | ? [v5] : (in(v5, v4) = 0 & ! [v6] : (v6 = v5 | ~ (subset(v5, v6) = 0) | ? [v7] : ( ~ (v7 = 0) & in(v6, v4) = v7))))))) | (all_0_27_27 = 0 & all_0_31_31 = 0 & all_0_36_36 = 0 & ~ (all_0_28_28 = empty_set) & succ(all_0_37_37) = all_0_32_32 & powerset(all_0_30_30) = all_0_29_29 & powerset(all_0_32_32) = all_0_30_30 & powerset(all_0_34_34) = all_0_33_33 & powerset(all_0_37_37) = all_0_34_34 & element(all_0_28_28, all_0_29_29) = 0 & ordinal(all_0_37_37) = 0 & in(all_0_32_32, omega) = 0 & in(all_0_37_37, omega) = all_0_35_35 & ! [v0] : ( ~ (in(v0, all_0_28_28) = 0) | ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_28_28) = 0)) & ( ~ (all_0_35_35 = 0) | ! [v0] : (v0 = empty_set | ~ (element(v0, all_0_33_33) = 0) | ? [v1] : (in(v1, v0) = 0 & ! [v2] : (v2 = v1 | ~ (subset(v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v2, v0) = v3)))))) | (all_0_30_30 = 0 & all_0_34_34 = 0 & all_0_35_35 = 0 & all_0_36_36 = 0 & ~ (all_0_31_31 = empty_set) & ~ (all_0_37_37 = empty_set) & being_limit_ordinal(all_0_37_37) = 0 & powerset(all_0_33_33) = all_0_32_32 & powerset(all_0_37_37) = all_0_33_33 & element(all_0_31_31, all_0_32_32) = 0 & ordinal(all_0_37_37) = 0 & in(all_0_37_37, omega) = 0 & ! [v0] : ( ~ (in(v0, all_0_31_31) = 0) | ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_31_31) = 0)) & ! [v0] : ( ~ (in(v0, omega) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ordinal(v0) = v1 & in(v0, all_0_37_37) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ! [v5] : (v5 = empty_set | ~ (element(v5, v4) = 0) | ? [v6] : (in(v6, v5) = 0 & ! [v7] : (v7 = v6 | ~ (subset(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & in(v7, v5) = v8)))))))) | (all_0_36_36 = 0 & ~ (all_0_37_37 = empty_set) & element(all_0_37_37, all_0_50_50) = 0 & ! [v0] : ( ~ (in(v0, all_0_37_37) = 0) | ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_37_37) = 0)))) & ( ! [v0] : ( ~ (in(v0, omega) = 0) | ? [v1] : ? [v2] : ? [v3] : (powerset(v2) = v3 & powerset(v0) = v2 & ordinal(v0) = v1 & ( ~ (v1 = 0) | ! [v4] : (v4 = empty_set | ~ (element(v4, v3) = 0) | ? [v5] : (in(v5, v4) = 0 & ! [v6] : (v6 = v5 | ~ (subset(v5, v6) = 0) | ? [v7] : ( ~ (v7 = 0) & in(v6, v4) = v7))))))) | (all_0_38_38 = 0 & all_0_42_42 = 0 & all_0_43_43 = 0 & ~ (all_0_39_39 = empty_set) & powerset(all_0_41_41) = all_0_40_40 & powerset(all_0_44_44) = all_0_41_41 & element(all_0_39_39, all_0_40_40) = 0 & ordinal(all_0_44_44) = 0 & in(all_0_44_44, omega) = 0 & ! [v0] : ( ~ (in(v0, all_0_39_39) = 0) | ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_39_39) = 0)) & ! [v0] : ( ~ (in(v0, omega) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ordinal(v0) = v1 & in(v0, all_0_44_44) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ! [v5] : (v5 = empty_set | ~ (element(v5, v4) = 0) | ? [v6] : (in(v6, v5) = 0 & ! [v7] : (v7 = v6 | ~ (subset(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & in(v7, v5) = v8)))))))))
% 135.57/74.12 |
% 135.57/74.12 | Applying alpha-rule on (1) yields:
% 135.57/74.12 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (union(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : (in(v3, v0) = 0 & in(v2, v3) = 0))
% 135.57/74.12 | (3) empty_carrier(all_0_49_49) = all_0_48_48
% 135.57/74.12 | (4) epsilon_transitive(omega) = 0
% 135.57/74.12 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (relation_isomorphism(v0, v1, v3) = 0) | ~ (well_ordering(v1) = v2) | ~ (well_ordering(v0) = 0) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & relation(v1) = v4) | ( ~ (v4 = 0) & relation(v0) = v4) | (relation(v3) = v4 & function(v3) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 135.57/74.12 | (6) ! [v0] : ! [v1] : (v0 = empty_set | ~ (subset(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & ordinal(v2) = 0 & in(v2, v0) = 0 & ! [v5] : ! [v6] : (v6 = 0 | ~ (ordinal_subset(v2, v5) = v6) | ? [v7] : ? [v8] : (ordinal(v5) = v7 & in(v5, v0) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0))))) | ( ~ (v2 = 0) & ordinal(v1) = v2)))
% 135.57/74.12 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (relation_rng(v2) = v5) | ~ (relation_dom(v2) = v3) | ~ (subset(v5, v1) = v6) | ~ (subset(v3, v0) = v4) | ? [v7] : ( ~ (v7 = 0) & relation_of2_as_subset(v2, v0, v1) = v7))
% 135.57/74.12 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (epsilon_connected(v2) = v1) | ~ (epsilon_connected(v2) = v0))
% 135.57/74.12 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ~ (element(v1, v3) = 0) | ? [v4] : (meet_of_subsets(v0, v1) = v4 & set_meet(v1) = v4))
% 135.57/74.12 | (10) ! [v0] : ( ~ (element(v0, omega) = 0) | (natural(v0) = 0 & epsilon_connected(v0) = 0 & epsilon_transitive(v0) = 0 & ordinal(v0) = 0))
% 135.57/74.12 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ (element(v0, v2) = 0) | subset(v0, v1) = 0)
% 135.57/74.12 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ordered_pair(v2, v3) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3)))
% 135.57/74.12 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ (empty(v1) = v2) | ~ (empty(v0) = 0) | ? [v3] : (element(v1, v0) = v3 & ( ~ (v3 = 0) | v2 = 0) & ( ~ (v2 = 0) | v3 = 0)))
% 135.57/74.12 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ~ (element(v1, v3) = 0) | ? [v4] : (complements_of_subsets(v0, v1) = v4 & ! [v5] : (v5 = v4 | ~ (element(v5, v3) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subset_complement(v0, v6) = v8 & element(v6, v2) = 0 & in(v8, v1) = v9 & in(v6, v5) = v7 & ( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))) & ! [v5] : ( ~ (element(v5, v2) = 0) | ~ (element(v4, v3) = 0) | ? [v6] : ? [v7] : ? [v8] : (subset_complement(v0, v5) = v7 & in(v7, v1) = v8 & in(v5, v4) = v6 & ( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0)))))
% 135.57/74.12 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | v6 = 0)))
% 135.57/74.12 | (16) ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v3 = empty_set) | v1 = empty_set) & ( ~ (v1 = empty_set) | v3 = empty_set)))))
% 135.57/74.12 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ (is_connected_in(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (connected(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 135.57/74.12 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (well_founded_relation(v2) = v1) | ~ (well_founded_relation(v2) = v0))
% 135.57/74.12 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset(v3, v1) = v4) | ~ (set_union2(v0, v2) = v3) | ? [v5] : ? [v6] : (subset(v2, v1) = v6 & subset(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))))
% 135.57/74.12 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom(v1) = v2) | ~ (set_intersection2(v2, v0) = v3) | ? [v4] : ? [v5] : ? [v6] : (relation_dom(v5) = v6 & relation_dom_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v6 = v3)))
% 135.57/74.12 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0))
% 135.57/74.12 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_composition(v2, v1) = v3) | ~ (identity_relation(v0) = v2) | ? [v4] : ? [v5] : (relation_dom_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 135.57/74.12 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (being_limit_ordinal(v0) = 0) | ~ (succ(v1) = v2) | ~ (in(v2, v0) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ordinal(v0) = v4) | (ordinal(v1) = v4 & in(v1, v0) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 135.57/74.12 | (24) ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ? [v4] : (in(v2, v1) = v4 & in(v2, v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 | v3 = 0)))
% 135.57/74.12 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v2, v0) = v3) | ~ (set_intersection2(v0, v1) = v2))
% 135.57/74.12 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cast_to_subset(v2) = v1) | ~ (cast_to_subset(v2) = v0))
% 135.57/74.12 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjoint(v1, v2) = 0) | ~ (disjoint(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 135.57/74.12 | (28) ~ (all_0_18_18 = 0)
% 135.57/74.12 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_inverse(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v1) = 0) | ~ (in(v4, v1) = 0) | ? [v5] : ? [v6] : ((v6 = 0 & ordered_pair(v3, v2) = v5 & in(v5, v0) = 0) | ( ~ (v5 = 0) & relation(v0) = v5)))
% 135.57/74.12 | (30) ! [v0] : ! [v1] : (v1 = 0 | ~ (epsilon_transitive(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & subset(v2, v0) = v3 & in(v2, v0) = 0))
% 135.57/74.12 | (31) empty_carrier(all_0_25_25) = all_0_24_24
% 135.57/74.12 | (32) epsilon_connected(all_0_10_10) = 0
% 135.57/74.12 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0))
% 135.57/74.12 | (34) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (finite(v1) = 0) | ~ (finite(v0) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 135.57/74.12 | (35) one_to_one(all_0_15_15) = 0
% 135.57/74.12 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_sorted_str(v2) = v1) | ~ (one_sorted_str(v2) = v0))
% 135.57/74.12 | (37) ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_rng(v4) = v5) | ~ (subset(v1, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (relation_dom(v4) = v9 & subset(v3, v9) = v10 & subset(v0, v4) = v8 & relation(v4) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (v10 = 0 & v6 = 0)))))))
% 135.57/74.12 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (are_equipotent(v3, v2) = v1) | ~ (are_equipotent(v3, v2) = v0))
% 135.57/74.13 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (relation_rng(v2) = v5) | ~ (relation_dom(v2) = v3) | ~ (in(v1, v5) = v6) | ~ (in(v0, v3) = v4) | ? [v7] : ? [v8] : ? [v9] : (ordered_pair(v0, v1) = v8 & relation(v2) = v7 & in(v8, v2) = v9 & ( ~ (v9 = 0) | ~ (v7 = 0))))
% 135.57/74.13 | (40) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0))
% 135.57/74.13 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v0, v0) = v3) | ~ (relation(v1) = 0) | ~ (function(v2) = 0) | ? [v4] : (( ~ (v4 = 0) & relation(v2) = v4) | ( ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v6 = 0 | ~ (apply(v2, v8) = v10) | ~ (apply(v2, v7) = v9) | ~ (ordered_pair(v9, v10) = v11) | ~ (in(v11, v1) = 0) | ~ (in(v5, v4) = v6) | ~ (in(v5, v3) = 0) | ? [v12] : ( ~ (v12 = v5) & ordered_pair(v7, v8) = v12)) & ! [v5] : ( ~ (in(v5, v4) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (apply(v2, v7) = v9 & apply(v2, v6) = v8 & ordered_pair(v8, v9) = v10 & ordered_pair(v6, v7) = v5 & in(v10, v1) = 0 & in(v5, v3) = 0)))))
% 135.57/74.13 | (42) function(all_0_20_20) = 0
% 135.57/74.13 | (43) join_semilatt_str(all_0_49_49) = 0
% 135.57/74.13 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (identity_relation(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v1) = 0) | ~ (in(v4, v1) = 0) | in(v2, v0) = 0)
% 135.57/74.13 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (element(v1, v3) = 0) | ? [v4] : (subset_difference(v0, v1, v2) = v4 & set_difference(v1, v2) = v4))
% 135.57/74.13 | (46) ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1))
% 135.57/74.13 | (47) epsilon_transitive(empty_set) = 0
% 135.57/74.13 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (proper_subset(v3, v2) = v1) | ~ (proper_subset(v3, v2) = v0))
% 135.57/74.13 | (49) ? [v0] : ? [v1] : (relation_dom(v1) = v0 & relation(v1) = 0 & function(v1) = 0 & ! [v2] : ! [v3] : ( ~ (singleton(v2) = v3) | ? [v4] : ? [v5] : (apply(v1, v2) = v5 & in(v2, v0) = v4 & ( ~ (v4 = 0) | v5 = v3))))
% 135.57/74.13 | (50) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v0) = v1) | ~ (in(v2, v1) = 0))
% 135.57/74.13 | (51) ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : (relation_inverse(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = v0)))
% 135.57/74.13 | (52) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inclusion_relation(v2) = v1) | ~ (inclusion_relation(v2) = v0))
% 135.57/74.13 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (meet(v0, v1, v2) = v4) | ~ (the_carrier(v0) = v3) | ~ (element(v4, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (meet_semilatt_str(v0) = v7 & empty_carrier(v0) = v6 & element(v2, v3) = v9 & element(v1, v3) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v6 = 0)))
% 135.57/74.13 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_rng(v1) = v3) | ~ (relation_image(v1, v0) = v2) | ~ (subset(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5))
% 135.57/74.13 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 135.57/74.13 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (fiber(v0, v1) = v2) | ~ (ordered_pair(v1, v1) = v3) | ~ (relation(v0) = 0) | ~ (in(v3, v0) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v1, v2) = v5))
% 135.57/74.13 | (57) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_empty_yielding(v2) = v6 & relation_empty_yielding(v0) = v4 & relation(v2) = v5 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 135.57/74.13 | (58) ! [v0] : ! [v1] : ( ~ (well_orders(v1, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (relation_restriction(v1, v0) = v3 & well_ordering(v3) = v5 & relation_field(v3) = v4 & relation(v1) = v2 & ( ~ (v2 = 0) | (v5 = 0 & v4 = v0))))
% 135.57/74.13 | (59) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_field(v0) = v1) | ~ (is_antisymmetric_in(v0, v1) = v2) | ? [v3] : ? [v4] : (antisymmetric(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 135.57/74.13 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v1 | ~ (pair_second(v0) = v1) | ~ (ordered_pair(v4, v5) = v0) | ~ (ordered_pair(v2, v3) = v0))
% 135.57/74.13 | (61) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2))
% 135.57/74.13 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply_binary(v4, v3, v2) = v1) | ~ (apply_binary(v4, v3, v2) = v0))
% 135.57/74.13 | (63) ~ (all_0_16_16 = 0)
% 135.57/74.13 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v3 = v2 | ~ (is_connected_in(v0, v1) = 0) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (ordered_pair(v3, v2) = v8 & in(v8, v0) = v9 & in(v3, v1) = v7 & in(v2, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0)))
% 135.57/74.14 | (65) ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | ? [v2] : (set_intersection2(v0, v1) = v2 & ! [v3] : ~ (in(v3, v2) = 0)))
% 135.57/74.14 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (relation_rng(v2) = v5) | ~ (relation_dom(v2) = v3) | ~ (subset(v5, v1) = v6) | ~ (subset(v3, v0) = v4) | ? [v7] : ( ~ (v7 = 0) & relation_of2_as_subset(v2, v0, v1) = v7))
% 135.57/74.14 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | ~ (fiber(v0, v1) = v2) | ~ (ordered_pair(v3, v1) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = 0) | in(v3, v2) = 0)
% 135.57/74.14 | (68) ! [v0] : (v0 = empty_set | ~ (set_meet(empty_set) = v0))
% 135.57/74.14 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (join(v4, v3, v2) = v1) | ~ (join(v4, v3, v2) = v0))
% 135.57/74.14 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_inverse(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v1) = 0) | ~ (in(v4, v1) = v5) | ? [v6] : ? [v7] : (( ~ (v7 = 0) & ordered_pair(v3, v2) = v6 & in(v6, v0) = v7) | ( ~ (v6 = 0) & relation(v0) = v6)))
% 135.57/74.14 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_rng_restriction(v0, v3) = v4) | ~ (relation_dom_restriction(v2, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : (relation_rng_restriction(v0, v2) = v6 & relation_dom_restriction(v6, v1) = v7 & relation(v2) = v5 & ( ~ (v5 = 0) | v7 = v4)))
% 135.57/74.14 | (72) one_to_one(empty_set) = 0
% 135.57/74.14 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_composition(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ~ (in(v5, v2) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & v8 = 0 & ordered_pair(v6, v4) = v9 & ordered_pair(v3, v6) = v7 & in(v9, v1) = 0 & in(v7, v0) = 0) | ( ~ (v6 = 0) & relation(v1) = v6)))
% 135.57/74.14 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (subset_complement(v0, v3) = v4) | ~ (subset(v1, v4) = v5) | ~ (powerset(v0) = v2) | ~ (element(v1, v2) = 0) | ? [v6] : ? [v7] : (disjoint(v1, v3) = v7 & element(v3, v2) = v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 = 0)))))
% 135.57/74.14 | (75) ! [v0] : ! [v1] : (v1 = 0 | ~ (antisymmetric(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v5 = 0 & ~ (v3 = v2) & ordered_pair(v3, v2) = v6 & ordered_pair(v2, v3) = v4 & in(v6, v0) = 0 & in(v4, v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2)))
% 135.57/74.14 | (76) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (reflexive(v2) = v1) | ~ (reflexive(v2) = v0))
% 135.57/74.14 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (element(v1, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (join(v0, v1, v2) = v8 & empty_carrier(v0) = v4 & join_commutative(v0) = v5 & join_semilatt_str(v0) = v6 & join_commut(v0, v1, v2) = v7 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = v7 | v4 = 0)))
% 135.57/74.14 | (78) ! [v0] : ! [v1] : ( ~ (one_to_one(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v0) = v2 & function(v0) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v1 = 0)))
% 135.57/74.14 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_well_founded_in(v3, v2) = v1) | ~ (is_well_founded_in(v3, v2) = v0))
% 135.57/74.14 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (apply_binary(v3, v4, v5) = v7) | ~ (relation_of2(v3, v6, v2) = 0) | ~ (cartesian_product2(v0, v1) = v6) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply_binary_as_element(v0, v1, v2, v3, v4, v5) = v14 & quasi_total(v3, v6, v2) = v11 & function(v3) = v10 & empty(v1) = v9 & empty(v0) = v8 & element(v5, v1) = v13 & element(v4, v0) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v7 | v9 = 0 | v8 = 0)))
% 135.57/74.14 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (subset(v4, v5) = v6) | ~ (cartesian_product2(v1, v3) = v5) | ~ (cartesian_product2(v0, v2) = v4) | ? [v7] : ? [v8] : (subset(v2, v3) = v8 & subset(v0, v1) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))))
% 135.57/74.14 | (82) ! [v0] : ( ~ (finite(v0) = 0) | ? [v1] : ? [v2] : (relation_rng(v1) = v0 & relation_dom(v1) = v2 & relation(v1) = 0 & function(v1) = 0 & in(v2, omega) = 0))
% 135.57/74.14 | (83) ? [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ? [v3] : (( ~ (v3 = 0) & ordinal(v1) = v3) | ( ! [v4] : ! [v5] : (v5 = 0 | ~ (in(v4, v2) = v5) | ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6)) & ! [v4] : ! [v5] : ( ~ (in(v4, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ((v8 = 0 & v7 = 0 & v6 = v4 & ordinal(v4) = 0 & in(v4, v0) = 0) | ( ~ (v6 = 0) & in(v4, v3) = v6))) & ! [v4] : ( ~ (ordinal(v4) = 0) | ~ (in(v4, v2) = 0) | ? [v5] : ((v5 = 0 & in(v4, v3) = 0) | ( ~ (v5 = 0) & in(v4, v0) = v5))))))
% 135.57/74.15 | (84) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & ordinal(v0) = v2) | ( ! [v3] : ! [v4] : (v4 = 0 | ~ (in(v3, v1) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v3, v2) = v5)) & ! [v3] : ! [v4] : ( ~ (in(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = 0 & v5 = v3 & powerset(v8) = v9 & powerset(v3) = v8 & ordinal(v3) = 0 & in(v3, omega) = v7 & ( ~ (v7 = 0) | ! [v10] : (v10 = empty_set | ~ (element(v10, v9) = 0) | ? [v11] : (in(v11, v10) = 0 & ! [v12] : (v12 = v11 | ~ (subset(v11, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & in(v12, v10) = v13)))))) | ( ~ (v5 = 0) & in(v3, v2) = v5))) & ! [v3] : ! [v4] : ( ~ (in(v3, v1) = 0) | ~ (in(v3, omega) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v5 = 0 & in(v3, v2) = 0) | (powerset(v6) = v7 & powerset(v3) = v6 & ordinal(v3) = v5 & ( ~ (v5 = 0) | (v9 = 0 & v4 = 0 & ~ (v8 = empty_set) & element(v8, v7) = 0 & ! [v10] : ( ~ (in(v10, v8) = 0) | ? [v11] : ( ~ (v11 = v10) & subset(v10, v11) = 0 & in(v11, v8) = 0))))))))))
% 135.57/74.15 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ~ (element(v1, v3) = 0) | ? [v4] : (complements_of_subsets(v0, v4) = v1 & complements_of_subsets(v0, v1) = v4))
% 135.57/74.15 | (86) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | transitive(v1) = 0)
% 135.57/74.15 | (87) ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_rng(v1) = v6 & relation_rng(v0) = v3 & relation_dom(v1) = v4 & relation_dom(v0) = v5 & relation(v0) = v2 & ( ~ (v2 = 0) | (v6 = v5 & v4 = v3))))
% 135.57/74.15 | (88) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0))
% 135.57/74.15 | (89) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (meet_semilatt_str(v2) = v1) | ~ (meet_semilatt_str(v2) = v0))
% 135.57/74.15 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_restriction(v2, v1) = v3) | ~ (in(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cartesian_product2(v1, v1) = v7 & relation(v2) = v5 & in(v0, v7) = v8 & in(v0, v2) = v6 & ( ~ (v5 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | (v8 = 0 & v6 = 0))))))
% 135.57/74.15 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_inverse_image(v1, v2) = v3) | ~ (relation_image(v1, v0) = v2) | ~ (subset(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : (relation_dom(v1) = v6 & subset(v0, v6) = v7 & relation(v1) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0))))
% 135.57/74.15 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (well_orders(v3, v2) = v1) | ~ (well_orders(v3, v2) = v0))
% 135.57/74.15 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 135.57/74.15 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v2, v3) = v4))
% 135.57/74.15 | (95) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0))
% 135.57/74.15 | (96) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (transitive(v2) = v1) | ~ (transitive(v2) = v0))
% 135.57/74.15 | (97) ordinal(empty_set) = 0
% 135.57/74.15 | (98) ! [v0] : ! [v1] : ( ~ (well_founded_relation(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (reflexive(v0) = v3 & transitive(v0) = v4 & connected(v0) = v5 & antisymmetric(v0) = v6 & relation(v0) = v2 & ( ~ (v2 = 0) | ! [v7] : ! [v8] : ( ~ (well_founded_relation(v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (reflexive(v7) = v10 & transitive(v7) = v11 & connected(v7) = v12 & antisymmetric(v7) = v13 & relation(v7) = v9 & ( ~ (v9 = 0) | ( ! [v14] : ( ~ (v6 = 0) | v13 = 0 | ~ (relation_isomorphism(v0, v7, v14) = 0) | ? [v15] : ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v14] : ( ~ (v5 = 0) | v12 = 0 | ~ (relation_isomorphism(v0, v7, v14) = 0) | ? [v15] : ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v14] : ( ~ (v4 = 0) | v11 = 0 | ~ (relation_isomorphism(v0, v7, v14) = 0) | ? [v15] : ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v14] : ( ~ (v3 = 0) | v10 = 0 | ~ (relation_isomorphism(v0, v7, v14) = 0) | ? [v15] : ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v14] : ( ~ (v1 = 0) | v8 = 0 | ~ (relation_isomorphism(v0, v7, v14) = 0) | ? [v15] : ? [v16] : (relation(v14) = v15 & function(v14) = v16 & ( ~ (v16 = 0) | ~ (v15 = 0)))))))))))
% 135.57/74.15 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng_restriction(v0, v2) = v3) | ~ (relation_dom_restriction(v1, v0) = v2) | ? [v4] : ? [v5] : (relation_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 135.57/74.16 | (100) ! [v0] : ! [v1] : ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) | ? [v3] : ( ! [v4] : ! [v5] : ! [v6] : ( ~ (ordered_pair(v5, v6) = v4) | ~ (in(v4, v2) = 0) | ? [v7] : ? [v8] : ((v7 = 0 & in(v4, v3) = 0) | (singleton(v5) = v8 & in(v5, v0) = v7 & ( ~ (v8 = v6) | ~ (v7 = 0))))) & ! [v4] : ! [v5] : (v5 = 0 | ~ (in(v4, v2) = v5) | ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6)) & ! [v4] : ! [v5] : ( ~ (in(v4, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v10 = v7 & v9 = 0 & v8 = v4 & singleton(v6) = v7 & ordered_pair(v6, v7) = v4 & in(v6, v0) = 0) | ( ~ (v6 = 0) & in(v4, v3) = v6)))))
% 135.57/74.16 | (101) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (set_union2(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 135.57/74.16 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (relation_of2(v2, v0, v1) = v4 & relation_rng(v2) = v5 & ( ~ (v4 = 0) | v5 = v3)))
% 135.57/74.16 | (103) ! [v0] : ! [v1] : ! [v2] : ( ~ (is_reflexive_in(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (reflexive(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 135.57/74.16 | (104) ! [v0] : ( ~ (in(v0, omega) = 0) | ? [v1] : ? [v2] : ? [v3] : (powerset(v2) = v3 & powerset(v0) = v2 & ordinal(v0) = v1 & ( ~ (v1 = 0) | ! [v4] : (v4 = empty_set | ~ (element(v4, v3) = 0) | ? [v5] : (in(v5, v4) = 0 & ! [v6] : (v6 = v5 | ~ (subset(v5, v6) = 0) | ? [v7] : ( ~ (v7 = 0) & in(v6, v4) = v7))))))) | (all_0_38_38 = 0 & all_0_42_42 = 0 & all_0_43_43 = 0 & ~ (all_0_39_39 = empty_set) & powerset(all_0_41_41) = all_0_40_40 & powerset(all_0_44_44) = all_0_41_41 & element(all_0_39_39, all_0_40_40) = 0 & ordinal(all_0_44_44) = 0 & in(all_0_44_44, omega) = 0 & ! [v0] : ( ~ (in(v0, all_0_39_39) = 0) | ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_39_39) = 0)) & ! [v0] : ( ~ (in(v0, omega) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ordinal(v0) = v1 & in(v0, all_0_44_44) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ! [v5] : (v5 = empty_set | ~ (element(v5, v4) = 0) | ? [v6] : (in(v6, v5) = 0 & ! [v7] : (v7 = v6 | ~ (subset(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & in(v7, v5) = v8))))))))
% 135.57/74.16 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (is_reflexive_in(v0, v1) = 0) | ~ (ordered_pair(v2, v2) = v3) | ~ (relation(v0) = 0) | ~ (in(v3, v0) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v2, v1) = v5))
% 135.57/74.16 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_inverse_image(v2, v1) = v4) | ~ (relation_inverse_image(v2, v0) = v3) | ~ (subset(v3, v4) = v5) | ? [v6] : ? [v7] : (subset(v0, v1) = v7 & relation(v2) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 135.57/74.16 | (107) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2)
% 135.57/74.16 | (108) ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & finite(v4) = v5 & finite(v1) = v6 & ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v6 = 0)))
% 135.57/74.16 | (109) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ? [v2] : ? [v3] : (well_founded_relation(v1) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 135.57/74.16 | (110) ! [v0] : ! [v1] : ( ~ (epsilon_connected(v0) = v1) | ? [v2] : ? [v3] : (epsilon_transitive(v0) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0))))
% 135.57/74.16 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v6 & in(v3, v1) = v5 & (v6 = 0 | ( ~ (v5 = 0) & ~ (v4 = 0)))))
% 135.57/74.16 | (112) singleton(empty_set) = all_0_51_51
% 135.57/74.16 | (113) ! [v0] : ( ~ (natural(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (succ(v0) = v2 & natural(v2) = v7 & empty(v2) = v3 & epsilon_connected(v2) = v5 & epsilon_transitive(v2) = v4 & ordinal(v2) = v6 & ordinal(v0) = v1 & ( ~ (v1 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & ~ (v3 = 0)))))
% 135.57/74.16 | (114) ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_difference(v0, v1) = v0)
% 135.57/74.16 | (115) ? [v0] : ? [v1] : ? [v2] : (relation_of2(v2, v0, v1) = 0 & quasi_total(v2, v0, v1) = 0 & relation(v2) = 0 & function(v2) = 0)
% 135.57/74.16 | (116) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (natural(v2) = v1) | ~ (natural(v2) = v0))
% 135.57/74.16 | (117) ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (ordered_pair(v3, v4) = v5) | ~ (in(v5, v0) = v6) | ? [v7] : ? [v8] : (apply(v0, v3) = v8 & in(v3, v2) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = v4) | v6 = 0) & ( ~ (v6 = 0) | v8 = v4))))) & ? [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (in(v4, v2) = v5) | ? [v6] : (apply(v0, v4) = v6 & ( ~ (v6 = v3) | v3 = empty_set) & ( ~ (v3 = empty_set) | v6 = empty_set)))))))
% 135.76/74.17 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (cartesian_product2(v0, v1) = v3) | ~ (powerset(v3) = v4) | ~ (element(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation_of2_as_subset(v2, v0, v1) = v6))
% 135.76/74.17 | (119) ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | relation(v1) = 0)
% 135.76/74.17 | (120) ordinal(all_0_10_10) = 0
% 135.76/74.17 | (121) ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (powerset(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (subset(v3, v1) = v5 & in(v3, v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 = 0)))
% 135.76/74.17 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (complements_of_subsets(v0, v1) = v4) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ~ (element(v4, v3) = v5) | ? [v6] : ( ~ (v6 = 0) & element(v1, v3) = v6))
% 135.76/74.17 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v1, v0) = v2) | ~ (set_union2(v0, v2) = v3) | set_union2(v0, v1) = v3)
% 135.76/74.17 | (124) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (in(v5, v1) = v6) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & relation(v1) = v7) | (in(v5, v2) = v7 & in(v4, v0) = v8 & ( ~ (v7 = 0) | (v8 = 0 & v6 = 0)))))
% 135.76/74.17 | (125) natural(all_0_5_5) = 0
% 135.76/74.17 | (126) ! [v0] : ! [v1] : (v1 = 0 | ~ (transitive(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v8 = 0 & v6 = 0 & ~ (v10 = 0) & ordered_pair(v3, v4) = v7 & ordered_pair(v2, v4) = v9 & ordered_pair(v2, v3) = v5 & in(v9, v0) = v10 & in(v7, v0) = 0 & in(v5, v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2)))
% 135.76/74.17 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (singleton(v0) = v2) | ~ (subset(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 135.76/74.17 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom_as_subset(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (relation_of2(v2, v0, v1) = v4 & relation_dom(v2) = v5 & ( ~ (v4 = 0) | v5 = v3)))
% 135.76/74.17 | (129) being_limit_ordinal(all_0_10_10) = 0
% 135.76/74.17 | (130) ! [v0] : ! [v1] : ! [v2] : ( ~ (is_well_founded_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (well_orders(v0, v1) = v3 & is_reflexive_in(v0, v1) = v4 & is_transitive_in(v0, v1) = v5 & is_connected_in(v0, v1) = v7 & is_antisymmetric_in(v0, v1) = v6 & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v2 = 0))))
% 135.76/74.17 | (131) ! [v0] : ! [v1] : (v0 = empty_set | ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ( ~ (v3 = empty_set) & ~ (v1 = empty_set)))))
% 135.76/74.17 | (132) ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_intersection2(v0, empty_set) = v1))
% 135.76/74.17 | (133) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (relation(v1) = 0) | ~ (empty(v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & v9 = v3 & v8 = 0 & v7 = v3 & v6 = 0 & ~ (v5 = v4) & in(v5, v3) = 0 & in(v4, v3) = 0 & in(v3, v0) = 0 & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (ordered_pair(v5, v11) = v12) | ~ (in(v12, v1) = v13) | ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (ordered_pair(v4, v11) = v12) | ~ (in(v12, v1) = v13) | ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14))) | (v6 = v0 & v5 = 0 & v4 = 0 & relation_dom(v3) = v0 & relation(v3) = 0 & function(v3) = 0 & ! [v11] : ! [v12] : ( ~ (apply(v3, v11) = v12) | ? [v13] : ? [v14] : ((v14 = 0 & v13 = v11 & in(v12, v11) = 0 & ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (ordered_pair(v12, v15) = v16) | ~ (in(v16, v1) = v17) | ? [v18] : ( ~ (v18 = 0) & in(v15, v11) = v18))) | ( ~ (v13 = 0) & in(v11, v0) = v13)))) | (v4 = 0 & in(v3, v0) = 0 & ! [v11] : ( ~ (in(v11, v3) = 0) | ? [v12] : ? [v13] : ? [v14] : ( ~ (v14 = 0) & ordered_pair(v11, v12) = v13 & in(v13, v1) = v14 & in(v12, v3) = 0)))))
% 135.76/74.17 | (134) ! [v0] : ! [v1] : (v1 = 0 | ~ (epsilon_connected(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ~ (v4 = 0) & ~ (v3 = v2) & in(v3, v2) = v5 & in(v3, v0) = 0 & in(v2, v3) = v4 & in(v2, v0) = 0))
% 135.76/74.17 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = empty_set | ~ (subset_difference(v0, v2, v3) = v4) | ~ (union_of_subsets(v0, v1) = v3) | ~ (cast_to_subset(v0) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (meet_of_subsets(v0, v8) = v9 & complements_of_subsets(v0, v1) = v8 & powerset(v5) = v6 & powerset(v0) = v5 & element(v1, v6) = v7 & ( ~ (v7 = 0) | v9 = v4)))
% 135.76/74.17 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (transitive(v0) = 0) | ~ (ordered_pair(v1, v3) = v5) | ~ (ordered_pair(v1, v2) = v4) | ~ (in(v5, v0) = v6) | ~ (in(v4, v0) = 0) | ? [v7] : ? [v8] : (( ~ (v8 = 0) & ordered_pair(v2, v3) = v7 & in(v7, v0) = v8) | ( ~ (v7 = 0) & relation(v0) = v7)))
% 135.76/74.17 | (137) ? [v0] : ? [v1] : ( ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (singleton(v4) = v2) | ~ (in(v2, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = v5)) & ! [v2] : ( ~ (in(v2, v1) = 0) | ? [v3] : (singleton(v3) = v2 & in(v3, v0) = 0)))
% 135.76/74.18 | (138) epsilon_transitive(all_0_9_9) = 0
% 135.76/74.18 | (139) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v1, v0) = v2) | ~ (epsilon_transitive(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3))
% 135.76/74.18 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = empty_set | ~ (subset_difference(v0, v2, v3) = v4) | ~ (meet_of_subsets(v0, v1) = v3) | ~ (cast_to_subset(v0) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (union_of_subsets(v0, v8) = v9 & complements_of_subsets(v0, v1) = v8 & powerset(v5) = v6 & powerset(v0) = v5 & element(v1, v6) = v7 & ( ~ (v7 = 0) | v9 = v4)))
% 135.76/74.18 | (141) ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3))
% 135.76/74.18 | (142) ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_difference(empty_set, v0) = v1))
% 135.76/74.18 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (union(v0) = v1) | ~ (in(v2, v4) = 0) | ~ (in(v2, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = v5))
% 135.76/74.18 | (144) ! [v0] : ! [v1] : ! [v2] : (v0 = empty_set | ~ (powerset(v0) = v1) | ~ (element(v2, v1) = 0) | ? [v3] : (subset_complement(v0, v2) = v3 & ! [v4] : ! [v5] : (v5 = 0 | ~ (in(v4, v3) = v5) | ? [v6] : ? [v7] : (element(v4, v0) = v6 & in(v4, v2) = v7 & ( ~ (v6 = 0) | v7 = 0)))))
% 135.76/74.18 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (powerset(v3) = v4) | ~ (powerset(v0) = v3) | ~ (function(v2) = 0) | ~ (element(v1, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_dom(v2) = v6 & powerset(v6) = v7 & relation(v2) = v5 & ( ~ (v5 = 0) | ( ! [v9] : ! [v10] : ! [v11] : ( ~ (relation_image(v2, v9) = v10) | ~ (in(v10, v1) = v11) | ? [v12] : ? [v13] : ((v13 = 0 & v12 = v9 & v11 = 0 & in(v9, v7) = 0) | ( ~ (v12 = 0) & in(v9, v8) = v12))) & ! [v9] : ! [v10] : ( ~ (relation_image(v2, v9) = v10) | ~ (in(v10, v1) = 0) | ~ (in(v9, v7) = 0) | in(v9, v8) = 0)))))
% 135.76/74.18 | (146) join_semilatt_str(all_0_2_2) = 0
% 135.76/74.18 | (147) ! [v0] : ! [v1] : (v1 = v0 | ~ (union(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & being_limit_ordinal(v0) = v2))
% 135.76/74.18 | (148) ! [v0] : ~ (singleton(v0) = empty_set)
% 135.76/74.18 | (149) ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : (relation(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 135.76/74.18 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v3 = v0 | ~ (unordered_pair(v0, v1) = v2) | ~ (in(v3, v2) = 0))
% 135.76/74.18 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (ordered_pair(v0, v1) = v4) | ~ (cartesian_product2(v2, v3) = v5) | ~ (in(v4, v5) = 0) | (in(v1, v3) = 0 & in(v0, v2) = 0))
% 135.76/74.18 | (152) ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0))
% 135.76/74.18 | (153) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function_inverse(v2) = v1) | ~ (function_inverse(v2) = v0))
% 135.76/74.18 | (154) ! [v0] : ! [v1] : ( ~ (equipotent(v0, v1) = 0) | equipotent(v1, v0) = 0)
% 135.76/74.18 | (155) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 135.76/74.18 | (156) powerset(empty_set) = all_0_51_51
% 135.76/74.18 | (157) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_dom(v1) = v2) | ~ (relation_image(v1, v3) = v4) | ~ (set_intersection2(v2, v0) = v3) | ? [v5] : ? [v6] : (relation_image(v1, v0) = v6 & relation(v1) = v5 & ( ~ (v5 = 0) | v6 = v4)))
% 135.76/74.18 | (158) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | diff_closed(v1) = 0)
% 135.76/74.18 | (159) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_difference(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0) & (v5 = 0 | (v6 = 0 & ~ (v7 = 0)))))
% 135.76/74.18 | (160) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_restriction(v2, v1) = v3) | ~ (relation_field(v3) = v4) | ~ (in(v0, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_field(v2) = v6 & relation(v2) = v5 & in(v0, v6) = v7 & in(v0, v1) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0))))
% 135.76/74.18 | (161) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_rng_as_subset(v4, v3, v2) = v1) | ~ (relation_rng_as_subset(v4, v3, v2) = v0))
% 135.76/74.18 | (162) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0))
% 135.76/74.18 | (163) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (reflexive(v2) = v5 & reflexive(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 135.76/74.19 | (164) ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | v1 = empty_set | ~ (set_meet(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v3, v0) = v4 & ( ~ (v4 = 0) | (v6 = 0 & ~ (v7 = 0) & in(v5, v1) = 0 & in(v3, v5) = v7)) & (v4 = 0 | ! [v8] : ! [v9] : (v9 = 0 | ~ (in(v3, v8) = v9) | ? [v10] : ( ~ (v10 = 0) & in(v8, v1) = v10)))))
% 135.76/74.19 | (165) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | ? [v3] : ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0)))
% 135.76/74.19 | (166) ! [v0] : (v0 = omega | ~ (in(empty_set, v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v4 = 0 & v3 = 0 & v2 = 0 & ~ (v5 = 0) & being_limit_ordinal(v1) = 0 & subset(v0, v1) = v5 & ordinal(v1) = 0 & in(empty_set, v1) = 0) | (being_limit_ordinal(v0) = v1 & ordinal(v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0)))))
% 135.76/74.19 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (complements_of_subsets(v3, v2) = v1) | ~ (complements_of_subsets(v3, v2) = v0))
% 135.76/74.19 | (168) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng_as_subset(v0, v1, v2) = v1) | ~ (in(v3, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & ordered_pair(v4, v3) = v5 & in(v5, v2) = 0) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4)))
% 135.76/74.19 | (169) ~ (all_0_21_21 = 0)
% 135.76/74.19 | (170) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_union2(v3, v2) = v1) | ~ (set_union2(v3, v2) = v0))
% 135.76/74.19 | (171) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (ordered_pair(v5, v6) = v3) | ~ (cartesian_product2(v0, v1) = v2) | ~ (in(v3, v2) = v4) | ? [v7] : ? [v8] : (in(v6, v1) = v8 & in(v5, v0) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))))
% 135.76/74.19 | (172) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_difference(v3, v2) = v1) | ~ (set_difference(v3, v2) = v0))
% 135.76/74.19 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (relation_image(v0, v1) = v2) | ~ (ordered_pair(v5, v3) = v6) | ~ (relation(v0) = 0) | ~ (in(v6, v0) = 0) | ~ (in(v3, v2) = v4) | ? [v7] : ( ~ (v7 = 0) & in(v5, v1) = v7))
% 135.76/74.19 | (174) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_inverse_image(v0, v1) = v2) | ~ (relation(v0) = 0) | ~ (in(v3, v2) = 0) | ? [v4] : ? [v5] : (ordered_pair(v3, v4) = v5 & in(v5, v0) = 0 & in(v4, v1) = 0))
% 135.76/74.19 | (175) relation(all_0_23_23) = 0
% 135.76/74.19 | (176) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (succ(v0) = v2) | ~ (powerset(v3) = v4) | ~ (powerset(v2) = v3) | ~ (element(v1, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (singleton(v0) = v6 & powerset(v0) = v7 & ordinal(v0) = v5 & ( ~ (v5 = 0) | ( ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (set_difference(v11, v6) = v9) | ~ (in(v9, v8) = v10) | ~ (in(v9, v7) = 0) | ? [v12] : ( ~ (v12 = 0) & in(v11, v1) = v12)) & ! [v9] : ( ~ (in(v9, v8) = 0) | ? [v10] : (set_difference(v10, v6) = v9 & in(v10, v1) = 0 & in(v9, v7) = 0))))))
% 135.76/74.19 | (177) ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0)
% 135.76/74.19 | (178) ! [v0] : ! [v1] : ! [v2] : ( ~ (is_well_founded_in(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (well_founded_relation(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 135.76/74.19 | (179) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v0, v3) = v4))
% 135.76/74.19 | (180) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (epsilon_transitive(v2) = v1) | ~ (epsilon_transitive(v2) = v0))
% 135.76/74.19 | (181) relation_empty_yielding(all_0_26_26) = 0
% 135.76/74.19 | (182) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (meet_commut(v4, v3, v2) = v1) | ~ (meet_commut(v4, v3, v2) = v0))
% 135.76/74.19 | (183) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (function_inverse(v1) = v2) | ~ (relation_composition(v2, v1) = v3) | ~ (apply(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (relation_rng(v1) = v8 & apply(v2, v0) = v10 & apply(v1, v10) = v11 & one_to_one(v1) = v7 & relation(v1) = v5 & function(v1) = v6 & in(v0, v8) = v9 & ( ~ (v9 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v11 = v0 & v4 = v0))))
% 135.76/74.19 | (184) ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (relation_rng(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) | ! [v8] : ! [v9] : ( ~ (ordered_pair(v8, v3) = v9) | ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v5, v3) = v6 & in(v6, v1) = 0)))))
% 135.76/74.19 | (185) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_connected_in(v3, v2) = v1) | ~ (is_connected_in(v3, v2) = v0))
% 135.76/74.20 | (186) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (relation_dom_restriction(v0, v1) = v3) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (ordered_pair(v4, v5) = v6 & in(v6, v2) = v7 & in(v6, v0) = v9 & in(v4, v1) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)) & (v7 = 0 | (v9 = 0 & v8 = 0))))
% 135.76/74.20 | (187) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v0, v1) = v2) | ~ (in(v3, v0) = 0) | ? [v4] : ? [v5] : (in(v3, v2) = v5 & in(v3, v1) = v4 & (v5 = 0 | v4 = 0)))
% 135.76/74.20 | (188) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_inverse_image(v3, v2) = v1) | ~ (relation_inverse_image(v3, v2) = v0))
% 135.76/74.20 | (189) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (is_antisymmetric_in(v0, v1) = 0) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (ordered_pair(v3, v2) = v7 & in(v7, v0) = v8 & in(v3, v1) = v6 & in(v2, v1) = v5 & ( ~ (v8 = 0) | ~ (v6 = 0) | ~ (v5 = 0))))
% 135.76/74.20 | (190) ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (one_to_one(v0) = v4 & relation(v1) = v5 & relation(v0) = v2 & function(v1) = v6 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | (v6 = 0 & v5 = 0))))
% 135.76/74.20 | (191) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ordinal_subset(v0, v0) = v2) | ~ (ordinal(v1) = 0) | ? [v3] : ( ~ (v3 = 0) & ordinal(v0) = v3))
% 135.76/74.20 | (192) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_restriction(v1, v0) = v2) | ~ (relation_field(v2) = v3) | ~ (relation_field(v1) = v4) | ~ (subset(v3, v4) = v5) | ? [v6] : ? [v7] : (subset(v3, v0) = v7 & relation(v1) = v6 & ( ~ (v6 = 0) | (v7 = 0 & v5 = 0))))
% 135.76/74.20 | (193) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 135.76/74.20 | (194) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0))
% 135.76/74.20 | (195) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_rng(v0) = v2) | ~ (relation_dom(v0) = v1) | ~ (subset(v0, v3) = v4) | ~ (cartesian_product2(v1, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & relation(v0) = v5))
% 135.76/74.20 | (196) empty(omega) = all_0_52_52
% 135.76/74.20 | (197) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (diff_closed(v2) = v1) | ~ (diff_closed(v2) = v0))
% 135.76/74.20 | (198) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = 0 | ~ (relation_dom(v0) = v1) | ~ (ordered_pair(v2, v4) = v5) | ~ (in(v5, v0) = 0) | ~ (in(v2, v1) = v3) | ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6))
% 135.76/74.20 | (199) empty(all_0_22_22) = all_0_21_21
% 135.76/74.20 | (200) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 135.76/74.20 | (201) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_of2(v2, v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4))
% 135.76/74.20 | (202) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = 0 | ~ (relation_rng(v0) = v1) | ~ (ordered_pair(v4, v2) = v5) | ~ (in(v5, v0) = 0) | ~ (in(v2, v1) = v3) | ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6))
% 135.76/74.20 | (203) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_antisymmetric_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v4 = v3) & ordered_pair(v4, v3) = v6 & ordered_pair(v3, v4) = v5 & in(v6, v0) = 0 & in(v5, v0) = 0 & in(v4, v1) = 0 & in(v3, v1) = 0))
% 135.76/74.20 | (204) ! [v0] : ( ~ (latt_str(v0) = 0) | (meet_semilatt_str(v0) = 0 & join_semilatt_str(v0) = 0))
% 135.76/74.20 | (205) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (identity_relation(v0) = v1) | ~ (ordered_pair(v2, v2) = v3) | ~ (relation(v1) = 0) | ~ (in(v3, v1) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v2, v0) = v5))
% 135.76/74.20 | (206) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = empty_set | ~ (quasi_total(v3, v0, v2) = v4) | ~ (quasi_total(v3, v0, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_of2_as_subset(v3, v0, v2) = v8 & relation_of2_as_subset(v3, v0, v1) = v6 & subset(v1, v2) = v7 & function(v3) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0))))
% 135.76/74.20 | (207) ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (union(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v3, v0) = v4 & ( ~ (v4 = 0) | ! [v8] : ( ~ (in(v3, v8) = 0) | ? [v9] : ( ~ (v9 = 0) & in(v8, v1) = v9))) & (v4 = 0 | (v7 = 0 & v6 = 0 & in(v5, v1) = 0 & in(v3, v5) = 0))))
% 135.76/74.21 | (208) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (relation_rng(v2) = v0) | ~ (finite(v0) = v1) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_dom(v2) = v5 & relation(v2) = v3 & function(v2) = v4 & in(v5, omega) = v6 & ( ~ (v6 = 0) | ~ (v4 = 0) | ~ (v3 = 0))))
% 135.76/74.21 | (209) relation(all_0_11_11) = 0
% 135.76/74.21 | (210) empty(all_0_14_14) = 0
% 135.76/74.21 | (211) ! [v0] : ! [v1] : ( ~ (one_to_one(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0) | (( ~ (v1 = 0) | ! [v11] : ! [v12] : (v12 = v11 | ~ (in(v12, v4) = 0) | ~ (in(v11, v4) = 0) | ? [v13] : ? [v14] : ( ~ (v14 = v13) & apply(v0, v12) = v14 & apply(v0, v11) = v13))) & (v1 = 0 | (v10 = v9 & v8 = 0 & v7 = 0 & ~ (v6 = v5) & apply(v0, v6) = v9 & apply(v0, v5) = v9 & in(v6, v4) = 0 & in(v5, v4) = 0))))))
% 135.76/74.21 | (212) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom_as_subset(v1, v0, v2) = v1) | ~ (in(v3, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & ordered_pair(v3, v4) = v5 & in(v5, v2) = 0) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v1, v0) = v4)))
% 135.76/74.21 | (213) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 135.76/74.21 | (214) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (identity_relation(v2) = v1) | ~ (identity_relation(v2) = v0))
% 135.76/74.21 | (215) function(all_0_26_26) = 0
% 135.76/74.21 | (216) ! [v0] : (v0 = empty_set | ~ (relation(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (ordered_pair(v1, v2) = v3 & in(v3, v0) = 0))
% 135.76/74.21 | (217) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pair_first(v2) = v1) | ~ (pair_first(v2) = v0))
% 135.76/74.21 | (218) ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | disjoint(v1, v0) = 0)
% 135.76/74.21 | (219) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (relation_inverse(v0) = v1) | ~ (relation(v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v3 = 0) & relation(v0) = v3) | (ordered_pair(v4, v3) = v7 & ordered_pair(v3, v4) = v5 & in(v7, v0) = v8 & in(v5, v2) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0))))
% 135.76/74.21 | (220) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_difference(v0, v2) = v3) | ~ (singleton(v1) = v2) | in(v1, v0) = 0)
% 135.76/74.21 | (221) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inclusion_relation(v0) = v1) | ~ (relation_field(v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (in(v5, v1) = v6) | ? [v7] : ? [v8] : ? [v9] : (( ~ (v7 = 0) & relation(v1) = v7) | (subset(v3, v4) = v9 & in(v4, v0) = v8 & in(v3, v0) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0))))))
% 135.76/74.21 | (222) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_composition(v0, v1) = v2) | ~ (relation_rng(v2) = v3) | ~ (relation_rng(v1) = v4) | ~ (subset(v3, v4) = v5) | ~ (relation(v0) = 0) | ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6))
% 135.76/74.21 | (223) empty(all_0_5_5) = all_0_4_4
% 135.76/74.21 | (224) ! [v0] : ( ~ (one_sorted_str(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (the_carrier(v0) = v2 & empty_carrier(v0) = v1 & powerset(v2) = v3 & (v1 = 0 | (v5 = 0 & ~ (v6 = 0) & empty(v4) = v6 & element(v4, v3) = 0))))
% 135.76/74.21 | (225) empty(all_0_17_17) = all_0_16_16
% 135.76/74.21 | (226) ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | ~ (relation_image(v0, v3) = v4) | ~ (in(v7, v2) = 0) | ~ (in(v5, v4) = v6) | ? [v8] : ? [v9] : (apply(v0, v7) = v9 & in(v7, v3) = v8 & ( ~ (v9 = v5) | ~ (v8 = 0)))) & ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_image(v0, v3) = v4) | ~ (in(v5, v4) = 0) | ? [v6] : (apply(v0, v6) = v5 & in(v6, v3) = 0 & in(v6, v2) = 0)) & ? [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (relation_image(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (in(v6, v3) = v7 & ( ~ (v7 = 0) | ! [v12] : ( ~ (in(v12, v2) = 0) | ? [v13] : ? [v14] : (apply(v0, v12) = v14 & in(v12, v4) = v13 & ( ~ (v14 = v6) | ~ (v13 = 0))))) & (v7 = 0 | (v11 = v6 & v10 = 0 & v9 = 0 & apply(v0, v8) = v6 & in(v8, v4) = 0 & in(v8, v2) = 0))))))))
% 135.76/74.22 | (227) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (proper_subset(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 135.76/74.22 | (228) ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | function(v1) = 0)
% 135.76/74.22 | (229) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (relation_dom(v2) = v3) | ~ (relation_dom(v1) = v4) | ~ (subset(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6))
% 135.76/74.22 | (230) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v0, v1) = v2) | ~ (in(v3, v2) = 0) | ? [v4] : ? [v5] : (ordered_pair(v4, v5) = v3 & in(v5, v1) = 0 & in(v4, v0) = 0))
% 135.76/74.22 | (231) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v2) = v3) | ~ (set_union2(v0, v1) = v2))
% 135.76/74.22 | (232) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom_as_subset(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (relation_of2_as_subset(v2, v0, v1) = v4 & quasi_total(v2, v0, v1) = v5 & ( ~ (v4 = 0) | (( ~ (v1 = empty_set) | v0 = empty_set | (( ~ (v5 = 0) | v2 = empty_set) & ( ~ (v2 = empty_set) | v5 = 0))) & ((v1 = empty_set & ~ (v0 = empty_set)) | (( ~ (v5 = 0) | v3 = v0) & ( ~ (v3 = v0) | v5 = 0)))))))
% 135.76/74.22 | (233) element(all_0_45_45, all_0_47_47) = 0
% 135.76/74.22 | (234) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (inclusion_relation(v0) = v2) | ~ (relation_field(v1) = v0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = 0 & v5 = 0 & subset(v3, v4) = v9 & ordered_pair(v3, v4) = v7 & in(v7, v1) = v8 & in(v4, v0) = 0 & in(v3, v0) = 0 & ( ~ (v9 = 0) | ~ (v8 = 0)) & (v9 = 0 | v8 = 0)) | ( ~ (v3 = 0) & relation(v1) = v3)))
% 135.76/74.22 | (235) ~ (all_0_48_48 = 0)
% 135.76/74.22 | (236) ? [v0] : ? [v1] : ? [v2] : (relation_of2(v2, v0, v1) = 0 & relation(v2) = 0 & function(v2) = 0)
% 135.76/74.22 | (237) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3))
% 135.76/74.22 | (238) one_sorted_str(all_0_25_25) = 0
% 135.76/74.22 | (239) empty(all_0_13_13) = 0
% 135.76/74.22 | (240) epsilon_transitive(all_0_5_5) = 0
% 135.76/74.22 | (241) ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v0) = v3 & empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | v2 = 0)))
% 135.76/74.22 | (242) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_rng_restriction(v3, v2) = v1) | ~ (relation_rng_restriction(v3, v2) = v0))
% 135.76/74.22 | (243) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v0 = empty_set | ~ (set_meet(v0) = v1) | ~ (in(v2, v3) = v4) | ~ (in(v2, v1) = 0) | ? [v5] : ( ~ (v5 = 0) & in(v3, v0) = v5))
% 135.76/74.22 | (244) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0))
% 135.76/74.22 | (245) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (connected(v2) = v1) | ~ (connected(v2) = v0))
% 135.76/74.22 | (246) ! [v0] : ( ~ (finite(v0) = 0) | ? [v1] : ? [v2] : (powerset(v1) = v2 & powerset(v0) = v1 & ! [v3] : (v3 = empty_set | ~ (element(v3, v2) = 0) | ? [v4] : (in(v4, v3) = 0 & ! [v5] : (v5 = v4 | ~ (subset(v4, v5) = 0) | ? [v6] : ( ~ (v6 = 0) & in(v5, v3) = v6))))))
% 135.76/74.22 | (247) ! [v0] : ! [v1] : ( ~ (the_L_meet(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (meet_semilatt_str(v0) = v3 & the_carrier(v0) = v4 & empty_carrier(v0) = v2 & ( ~ (v3 = 0) | v2 = 0 | ! [v5] : ! [v6] : ! [v7] : ( ~ (apply_binary_as_element(v4, v4, v4, v1, v5, v6) = v7) | ~ (element(v5, v4) = 0) | ? [v8] : ? [v9] : (meet(v0, v5, v6) = v9 & element(v6, v4) = v8 & ( ~ (v8 = 0) | v9 = v7))))))
% 135.76/74.22 | (248) epsilon_connected(all_0_9_9) = 0
% 135.76/74.22 | (249) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & ordinal(v0) = v2) | ( ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (in(v3, v2) = v4) | ~ (in(v3, v1) = 0) | ~ (in(v3, omega) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (powerset(v7) = v8 & powerset(v3) = v7 & ordinal(v3) = v6 & ( ~ (v6 = 0) | (v10 = 0 & v5 = 0 & ~ (v9 = empty_set) & element(v9, v8) = 0 & ! [v11] : ( ~ (in(v11, v9) = 0) | ? [v12] : ( ~ (v12 = v11) & subset(v11, v12) = 0 & in(v12, v9) = 0)))))) & ! [v3] : ( ~ (in(v3, v2) = 0) | ? [v4] : ? [v5] : ? [v6] : (powerset(v5) = v6 & powerset(v3) = v5 & ordinal(v3) = 0 & in(v3, v1) = 0 & in(v3, omega) = v4 & ( ~ (v4 = 0) | ! [v7] : (v7 = empty_set | ~ (element(v7, v6) = 0) | ? [v8] : (in(v8, v7) = 0 & ! [v9] : (v9 = v8 | ~ (subset(v8, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & in(v9, v7) = v10))))))))))
% 135.76/74.23 | (250) ! [v0] : ! [v1] : ! [v2] : ( ~ (disjoint(v0, v1) = 0) | ~ (in(v2, v0) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v2, v1) = v3))
% 135.76/74.23 | (251) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 135.76/74.23 | (252) ? [v0] : ? [v1] : ( ! [v2] : ! [v3] : ( ~ (ordinal(v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = v2 & v3 = 0 & in(v2, v0) = 0) | ( ~ (v4 = 0) & in(v2, v1) = v4))) & ! [v2] : ( ~ (ordinal(v2) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0))
% 135.76/74.23 | (253) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_image(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v0) = v3 & function(v0) = v4 & finite(v2) = v6 & finite(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v6 = 0)))
% 135.76/74.23 | (254) epsilon_connected(omega) = 0
% 135.76/74.23 | (255) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | ~ (ordered_pair(v2, v3) = v4) | ~ (ordered_pair(v0, v1) = v4))
% 135.76/74.23 | (256) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) | ~ (in(v3, v0) = 0) | ? [v4] : ? [v5] : (in(v3, v2) = v5 & in(v3, v1) = v4 & ( ~ (v4 = 0) | v5 = 0)))
% 135.76/74.23 | (257) ? [v0] : ! [v1] : ( ~ (function(v1) = 0) | ? [v2] : ? [v3] : (relation_dom(v1) = v3 & relation(v1) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_composition(v4, v1) = v5) | ~ (relation_dom(v5) = v6) | ~ (in(v0, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (relation_dom(v4) = v10 & apply(v4, v0) = v12 & relation(v4) = v8 & function(v4) = v9 & in(v12, v3) = v13 & in(v0, v10) = v11 & ( ~ (v9 = 0) | ~ (v8 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0) | v7 = 0) & ( ~ (v7 = 0) | (v13 = 0 & v11 = 0)))))))))
% 135.76/74.23 | (258) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (join_commutative(v2) = v1) | ~ (join_commutative(v2) = v0))
% 135.76/74.23 | (259) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0))
% 135.76/74.23 | (260) ! [v0] : (v0 = empty_set | ~ (subset(v0, empty_set) = 0))
% 135.76/74.23 | (261) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ~ (element(v1, v3) = 0) | ? [v4] : (union_of_subsets(v0, v1) = v4 & union(v1) = v4))
% 135.76/74.23 | (262) ! [v0] : ( ~ (empty(v0) = 0) | ? [v1] : (relation_dom(v0) = v1 & relation(v1) = 0 & empty(v1) = 0))
% 135.76/74.23 | (263) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (meet_commut(v0, v1, v2) = v4) | ~ (the_carrier(v0) = v3) | ~ (element(v4, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (meet_commutative(v0) = v7 & meet_semilatt_str(v0) = v8 & empty_carrier(v0) = v6 & element(v2, v3) = v10 & element(v1, v3) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v6 = 0)))
% 135.76/74.23 | (264) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (meet_of_subsets(v0, v1) = v3) | ~ (powerset(v0) = v2) | ~ (element(v3, v2) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & powerset(v2) = v5 & element(v1, v5) = v6))
% 135.76/74.23 | (265) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ? [v4] : (finite(v2) = v4 & finite(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 135.76/74.23 | (266) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_composition(v0, v2) = v3) | ~ (relation_dom(v3) = v4) | ~ (relation_dom(v0) = v1) | ~ (subset(v4, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & relation(v2) = v6) | ( ~ (v6 = 0) & relation(v0) = v6)))
% 135.76/74.23 | (267) ~ (all_0_24_24 = 0)
% 135.76/74.23 | (268) ! [v0] : ! [v1] : ( ~ (are_equipotent(v0, v1) = 0) | equipotent(v0, v1) = 0)
% 135.76/74.23 | (269) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_dom_restriction(v1, v0) = v2) | ~ (subset(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4))
% 135.76/74.23 | (270) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_L_meet(v2) = v1) | ~ (the_L_meet(v2) = v0))
% 135.76/74.23 | (271) ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | pair_second(v2) = v1)
% 135.76/74.24 | (272) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_union2(v0, v0) = v1))
% 135.76/74.24 | (273) ! [v0] : ! [v1] : (v1 = v0 | ~ (ordinal(v1) = 0) | ~ (ordinal(v0) = 0) | ? [v2] : ? [v3] : (in(v1, v0) = v3 & in(v0, v1) = v2 & (v3 = 0 | v2 = 0)))
% 135.76/74.24 | (274) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_intersection2(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)) & (v5 = 0 | (v7 = 0 & v6 = 0))))
% 135.76/74.24 | (275) ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 135.76/74.24 | (276) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (latt_str(v2) = v1) | ~ (latt_str(v2) = v0))
% 135.76/74.24 | (277) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_reflexive_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ordered_pair(v3, v3) = v4 & in(v4, v0) = v5 & in(v3, v1) = 0))
% 135.76/74.24 | (278) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_dom_restriction(v3, v2) = v1) | ~ (relation_dom_restriction(v3, v2) = v0))
% 135.76/74.24 | (279) empty(all_0_19_19) = all_0_18_18
% 135.76/74.24 | (280) finite(all_0_7_7) = 0
% 135.76/74.24 | (281) ! [v0] : ! [v1] : (v1 = v0 | ~ (cast_to_subset(v0) = v1))
% 135.76/74.24 | (282) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_intersection2(v0, v2) = v3) | ~ (cartesian_product2(v1, v1) = v2) | ~ (relation(v0) = 0) | relation_restriction(v0, v1) = v3)
% 135.76/74.24 | (283) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0))
% 135.76/74.24 | (284) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (fiber(v3, v2) = v1) | ~ (fiber(v3, v2) = v0))
% 135.76/74.24 | (285) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_of2(v2, v0, v1) = 0) | relation_of2_as_subset(v2, v0, v1) = 0)
% 135.76/74.24 | (286) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cup_closed(v2) = v1) | ~ (cup_closed(v2) = v0))
% 135.76/74.24 | (287) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset(v3, v2) = v4) | ~ (unordered_pair(v0, v1) = v3) | ? [v5] : ? [v6] : (in(v1, v2) = v6 & in(v0, v2) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))))
% 135.76/74.24 | (288) ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v2) | ~ (subset(v2, v1) = 0) | in(v0, v1) = 0)
% 135.76/74.24 | (289) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (relation_field(v2) = v3) | ~ (in(v1, v3) = v5) | ~ (in(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : (ordered_pair(v0, v1) = v7 & relation(v2) = v6 & in(v7, v2) = v8 & ( ~ (v8 = 0) | ~ (v6 = 0))))
% 135.76/74.24 | (290) ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_rng(v1) = v8 & relation_rng(v0) = v5 & relation_dom(v1) = v6 & relation_dom(v0) = v7 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | (v8 = v7 & v6 = v5))))
% 135.76/74.24 | (291) ! [v0] : ! [v1] : ( ~ (meet_absorbing(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (latt_str(v0) = v3 & the_carrier(v0) = v4 & empty_carrier(v0) = v2 & ( ~ (v3 = 0) | v2 = 0 | (( ~ (v1 = 0) | ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (meet(v0, v11, v12) = v13) | ~ (join(v0, v13, v12) = v14) | ~ (element(v11, v4) = 0) | ? [v15] : ( ~ (v15 = 0) & element(v12, v4) = v15))) & (v1 = 0 | (v8 = 0 & v6 = 0 & ~ (v10 = v7) & meet(v0, v5, v7) = v9 & join(v0, v9, v7) = v10 & element(v7, v4) = 0 & element(v5, v4) = 0))))))
% 135.76/74.24 | (292) ? [v0] : ! [v1] : ( ~ (function(v1) = 0) | ? [v2] : ? [v3] : (relation_dom(v1) = v3 & relation(v1) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_dom(v4) = v5) | ~ (set_intersection2(v5, v0) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (relation_dom_restriction(v4, v0) = v9 & relation(v4) = v7 & function(v4) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = v1) | (v6 = v3 & ! [v14] : ( ~ (in(v14, v3) = 0) | ? [v15] : (apply(v4, v14) = v15 & apply(v1, v14) = v15)))) & ( ~ (v6 = v3) | v9 = v1 | (v11 = 0 & ~ (v13 = v12) & apply(v4, v10) = v13 & apply(v1, v10) = v12 & in(v10, v3) = 0)))))))))
% 135.76/74.24 | (293) ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v1) = v2) | ? [v3] : ? [v4] : (in(v3, v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = v1)) & (v4 = 0 | v3 = v1)))
% 135.76/74.24 | (294) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (antisymmetric(v2) = v1) | ~ (antisymmetric(v2) = v0))
% 135.76/74.24 | (295) ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (relation_dom(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) | ! [v8] : ! [v9] : ( ~ (ordered_pair(v3, v8) = v9) | ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v3, v5) = v6 & in(v6, v1) = 0)))))
% 135.76/74.24 | (296) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (singleton(v0) = v3) | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4)
% 135.76/74.24 | (297) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (inclusion_relation(v0) = v1) | ~ (relation_field(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & relation(v1) = v3))
% 135.76/74.24 | (298) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (relation_composition(v0, v1) = v2) | ~ (relation(v3) = 0) | ~ (relation(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v4 = 0) & relation(v1) = v4) | (ordered_pair(v4, v5) = v6 & in(v6, v3) = v7 & ( ~ (v7 = 0) | ! [v13] : ! [v14] : ( ~ (ordered_pair(v4, v13) = v14) | ~ (in(v14, v0) = 0) | ? [v15] : ? [v16] : ( ~ (v16 = 0) & ordered_pair(v13, v5) = v15 & in(v15, v1) = v16))) & (v7 = 0 | (v12 = 0 & v10 = 0 & ordered_pair(v8, v5) = v11 & ordered_pair(v4, v8) = v9 & in(v11, v1) = 0 & in(v9, v0) = 0)))))
% 135.76/74.25 | (299) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (ordered_pair(v0, v1) = v4) | ~ (cartesian_product2(v2, v3) = v5) | ~ (in(v4, v5) = v6) | ? [v7] : ? [v8] : (in(v1, v3) = v8 & in(v0, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))))
% 135.76/74.25 | (300) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_of2_as_subset(v4, v3, v2) = v1) | ~ (relation_of2_as_subset(v4, v3, v2) = v0))
% 135.76/74.25 | (301) ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0))))
% 135.76/74.25 | (302) meet_semilatt_str(all_0_0_0) = 0
% 135.76/74.25 | (303) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v2) = v5 & relation(v1) = v3 & function(v2) = v6 & function(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 135.76/74.25 | (304) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (in(v5, v1) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & relation(v1) = v6) | (in(v5, v2) = v7 & in(v4, v0) = v6 & ( ~ (v6 = 0) | v7 = 0))))
% 135.76/74.25 | (305) ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation_dom(v0) = v3 & relation(v0) = v2 & empty(v3) = v4 & ( ~ (v4 = 0) | ~ (v2 = 0))))
% 135.76/74.25 | (306) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (relation_inverse_image(v1, v2) = v3) | ~ (relation(v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ! [v10] : ! [v11] : ( ~ (ordered_pair(v4, v10) = v11) | ~ (in(v11, v1) = 0) | ? [v12] : ( ~ (v12 = 0) & in(v10, v2) = v12))) & (v5 = 0 | (v9 = 0 & v8 = 0 & ordered_pair(v4, v6) = v7 & in(v7, v1) = 0 & in(v6, v2) = 0))))
% 135.76/74.25 | (307) ~ (all_0_4_4 = 0)
% 135.76/74.25 | (308) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (cartesian_product2(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ! [v11] : ! [v12] : ( ~ (ordered_pair(v11, v12) = v4) | ? [v13] : ? [v14] : (in(v12, v2) = v14 & in(v11, v1) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & (v5 = 0 | (v10 = v4 & v9 = 0 & v8 = 0 & ordered_pair(v6, v7) = v4 & in(v7, v2) = 0 & in(v6, v1) = 0))))
% 135.76/74.25 | (309) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (the_carrier(v0) = v3) | ~ (join_commut(v0, v1, v2) = v4) | ~ (element(v4, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (empty_carrier(v0) = v6 & join_commutative(v0) = v7 & join_semilatt_str(v0) = v8 & element(v2, v3) = v10 & element(v1, v3) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v6 = 0)))
% 135.76/74.25 | (310) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v2, v0) = v3) | ~ (powerset(v0) = v1) | ? [v4] : ( ~ (v4 = 0) & in(v2, v1) = v4))
% 136.11/74.25 | (311) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (meet(v4, v3, v2) = v1) | ~ (meet(v4, v3, v2) = v0))
% 136.11/74.25 | (312) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_image(v0, v1) = v2) | ~ (relation(v0) = 0) | ~ (in(v3, v2) = 0) | ? [v4] : ? [v5] : (ordered_pair(v4, v3) = v5 & in(v5, v0) = 0 & in(v4, v1) = 0))
% 136.11/74.25 | (313) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 136.11/74.25 | (314) ! [v0] : ! [v1] : ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) | ? [v3] : ( ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = 0 | ~ (ordered_pair(v6, v7) = v4) | ~ (in(v4, v3) = v5) | ~ (in(v4, v2) = 0) | ? [v8] : ? [v9] : (singleton(v6) = v9 & in(v6, v0) = v8 & ( ~ (v9 = v7) | ~ (v8 = 0)))) & ! [v4] : ( ~ (in(v4, v3) = 0) | ? [v5] : ? [v6] : (singleton(v5) = v6 & ordered_pair(v5, v6) = v4 & in(v5, v0) = 0 & in(v4, v2) = 0))))
% 136.11/74.25 | (315) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (transitive(v2) = v5 & transitive(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 136.11/74.25 | (316) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | v0 = empty_set | ~ (singleton(v1) = v2) | ~ (subset(v0, v2) = 0))
% 136.11/74.25 | (317) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ordinal(v2) = v1) | ~ (ordinal(v2) = v0))
% 136.11/74.25 | (318) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset_complement(v0, v1) = v3) | ~ (powerset(v0) = v2) | ~ (element(v3, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & element(v1, v2) = v5))
% 136.11/74.25 | (319) empty(empty_set) = 0
% 136.11/74.25 | (320) ! [v0] : ! [v1] : (v1 = 0 | ~ (equipotent(v0, v0) = v1))
% 136.11/74.25 | (321) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ordered_pair(v3, v2) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3)))
% 136.11/74.25 | (322) ! [v0] : ( ~ (in(v0, omega) = 0) | ? [v1] : ? [v2] : ? [v3] : (powerset(v2) = v3 & powerset(v0) = v2 & ordinal(v0) = v1 & ( ~ (v1 = 0) | ! [v4] : (v4 = empty_set | ~ (element(v4, v3) = 0) | ? [v5] : (in(v5, v4) = 0 & ! [v6] : (v6 = v5 | ~ (subset(v5, v6) = 0) | ? [v7] : ( ~ (v7 = 0) & in(v6, v4) = v7))))))) | (all_0_27_27 = 0 & all_0_31_31 = 0 & all_0_36_36 = 0 & ~ (all_0_28_28 = empty_set) & succ(all_0_37_37) = all_0_32_32 & powerset(all_0_30_30) = all_0_29_29 & powerset(all_0_32_32) = all_0_30_30 & powerset(all_0_34_34) = all_0_33_33 & powerset(all_0_37_37) = all_0_34_34 & element(all_0_28_28, all_0_29_29) = 0 & ordinal(all_0_37_37) = 0 & in(all_0_32_32, omega) = 0 & in(all_0_37_37, omega) = all_0_35_35 & ! [v0] : ( ~ (in(v0, all_0_28_28) = 0) | ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_28_28) = 0)) & ( ~ (all_0_35_35 = 0) | ! [v0] : (v0 = empty_set | ~ (element(v0, all_0_33_33) = 0) | ? [v1] : (in(v1, v0) = 0 & ! [v2] : (v2 = v1 | ~ (subset(v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v2, v0) = v3)))))) | (all_0_30_30 = 0 & all_0_34_34 = 0 & all_0_35_35 = 0 & all_0_36_36 = 0 & ~ (all_0_31_31 = empty_set) & ~ (all_0_37_37 = empty_set) & being_limit_ordinal(all_0_37_37) = 0 & powerset(all_0_33_33) = all_0_32_32 & powerset(all_0_37_37) = all_0_33_33 & element(all_0_31_31, all_0_32_32) = 0 & ordinal(all_0_37_37) = 0 & in(all_0_37_37, omega) = 0 & ! [v0] : ( ~ (in(v0, all_0_31_31) = 0) | ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_31_31) = 0)) & ! [v0] : ( ~ (in(v0, omega) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (powerset(v3) = v4 & powerset(v0) = v3 & ordinal(v0) = v1 & in(v0, all_0_37_37) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ! [v5] : (v5 = empty_set | ~ (element(v5, v4) = 0) | ? [v6] : (in(v6, v5) = 0 & ! [v7] : (v7 = v6 | ~ (subset(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & in(v7, v5) = v8)))))))) | (all_0_36_36 = 0 & ~ (all_0_37_37 = empty_set) & element(all_0_37_37, all_0_50_50) = 0 & ! [v0] : ( ~ (in(v0, all_0_37_37) = 0) | ? [v1] : ( ~ (v1 = v0) & subset(v0, v1) = 0 & in(v1, all_0_37_37) = 0)))
% 136.11/74.26 | (323) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1))
% 136.11/74.26 | (324) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = empty_set | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ~ (element(v1, v3) = 0) | ? [v4] : ( ~ (v4 = empty_set) & complements_of_subsets(v0, v1) = v4))
% 136.11/74.26 | (325) ! [v0] : ! [v1] : (v1 = 0 | ~ (one_sorted_str(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & join_semilatt_str(v0) = v2))
% 136.11/74.26 | (326) ! [v0] : ! [v1] : ! [v2] : ( ~ (identity_relation(v0) = v2) | ~ (function(v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (relation_dom(v1) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = v0) | v2 = v1 | (v6 = 0 & ~ (v7 = v5) & apply(v1, v5) = v7 & in(v5, v0) = 0)) & ( ~ (v2 = v1) | (v4 = v0 & ! [v8] : ! [v9] : (v9 = v8 | ~ (apply(v1, v8) = v9) | ? [v10] : ( ~ (v10 = 0) & in(v8, v0) = v10))))))))
% 136.11/74.26 | (327) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v0 = empty_set | ~ (set_meet(v0) = v1) | ~ (in(v2, v1) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = 0 & in(v2, v4) = v5))
% 136.11/74.26 | (328) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_composition(v5, v3) = v6) | ~ (identity_relation(v2) = v5) | ~ (ordered_pair(v0, v1) = v4) | ~ (in(v4, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : (relation(v3) = v8 & in(v4, v3) = v10 & in(v0, v2) = v9 & ( ~ (v8 = 0) | (( ~ (v10 = 0) | ~ (v9 = 0) | v7 = 0) & ( ~ (v7 = 0) | (v10 = 0 & v9 = 0))))))
% 136.11/74.26 | (329) relation(empty_set) = 0
% 136.11/74.26 | (330) relation_rng(empty_set) = empty_set
% 136.11/74.26 | (331) ! [v0] : ! [v1] : ( ~ (proper_subset(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & subset(v0, v1) = v2))
% 136.11/74.26 | (332) ordinal(all_0_5_5) = 0
% 136.11/74.26 | (333) ? [v0] : ? [v1] : ? [v2] : relation_of2_as_subset(v2, v0, v1) = 0
% 136.11/74.26 | (334) ! [v0] : ! [v1] : (v1 = 0 | ~ (being_limit_ordinal(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & v3 = 0 & ~ (v6 = 0) & succ(v2) = v5 & ordinal(v2) = 0 & in(v5, v0) = v6 & in(v2, v0) = 0) | ( ~ (v2 = 0) & ordinal(v0) = v2)))
% 136.11/74.26 | (335) ! [v0] : ! [v1] : ( ~ (well_founded_relation(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (well_ordering(v0) = v3 & reflexive(v0) = v4 & transitive(v0) = v5 & connected(v0) = v7 & antisymmetric(v0) = v6 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v1 = 0) | v3 = 0) & ( ~ (v3 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v1 = 0))))))
% 136.11/74.26 | (336) function(all_0_11_11) = 0
% 136.11/74.26 | (337) empty(all_0_15_15) = 0
% 136.11/74.26 | (338) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ordinal(v1) = 0) | ~ (ordinal(v0) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 136.11/74.26 | (339) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_composition(v2, v1) = v3) | ~ (relation_dom(v3) = v4) | ~ (function(v1) = 0) | ~ (in(v0, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v5 = 0) & relation(v1) = v5) | (apply(v3, v0) = v7 & apply(v2, v0) = v8 & apply(v1, v8) = v9 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | v9 = v7))))
% 136.11/74.26 | (340) ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (relation(v1) = v4 & relation(v0) = v2 & function(v1) = v5 & function(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v5 = 0 & v4 = 0))))
% 136.11/74.27 | (341) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (in(v0, v1) = v2))
% 136.11/74.27 | (342) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v0 | v2 = v0 | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v4))
% 136.11/74.27 | (343) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_L_join(v2) = v1) | ~ (the_L_join(v2) = v0))
% 136.11/74.27 | (344) epsilon_transitive(all_0_22_22) = 0
% 136.11/74.27 | (345) ! [v0] : ( ~ (epsilon_connected(v0) = 0) | ? [v1] : ? [v2] : (epsilon_transitive(v0) = v1 & ordinal(v0) = v2 & ( ~ (v1 = 0) | v2 = 0)))
% 136.11/74.27 | (346) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_rng(v3) = v4) | ~ (relation_rng_restriction(v1, v2) = v3) | ~ (in(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (relation_rng(v2) = v8 & relation(v2) = v6 & in(v0, v8) = v9 & in(v0, v1) = v7 & ( ~ (v6 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v9 = 0 & v7 = 0))))))
% 136.11/74.27 | (347) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_of2_as_subset(v3, v2, v0) = 0) | ~ (relation_rng(v3) = v4) | ~ (subset(v4, v1) = 0) | relation_of2_as_subset(v3, v2, v1) = 0)
% 136.11/74.27 | (348) ! [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))
% 136.11/74.27 | (349) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_antisymmetric_in(v3, v2) = v1) | ~ (is_antisymmetric_in(v3, v2) = v0))
% 136.11/74.27 | (350) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v2, v1) = v3) | ~ (set_union2(v0, v1) = v2) | set_difference(v0, v1) = v3)
% 136.11/74.27 | (351) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_transitive_in(v3, v2) = v1) | ~ (is_transitive_in(v3, v2) = v0))
% 136.11/74.27 | (352) ! [v0] : ! [v1] : ( ~ (unordered_pair(v0, v0) = v1) | singleton(v0) = v1)
% 136.11/74.27 | (353) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (subset_difference(v4, v3, v2) = v1) | ~ (subset_difference(v4, v3, v2) = v0))
% 136.11/74.27 | (354) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (equipotent(v0, v1) = v2) | ~ (one_to_one(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (relation_rng(v3) = v7 & relation_dom(v3) = v6 & relation(v3) = v4 & function(v3) = v5 & ( ~ (v7 = v1) | ~ (v6 = v0) | ~ (v5 = 0) | ~ (v4 = 0))))
% 136.11/74.27 | (355) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = 0 | ~ (cartesian_product2(v0, v3) = v4) | ~ (relation(v1) = 0) | ~ (empty(v0) = v2) | ? [v5] : ( ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = 0 | ~ (ordered_pair(v8, v9) = v6) | ~ (in(v9, v8) = 0) | ~ (in(v6, v5) = v7) | ~ (in(v6, v4) = 0) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & ~ (v13 = 0) & ordered_pair(v9, v10) = v12 & in(v12, v1) = v13 & in(v10, v8) = 0) | ( ~ (v10 = 0) & in(v8, v0) = v10))) & ! [v6] : ( ~ (in(v6, v5) = 0) | ? [v7] : ? [v8] : (ordered_pair(v7, v8) = v6 & in(v8, v7) = 0 & in(v7, v0) = 0 & in(v6, v4) = 0 & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (ordered_pair(v8, v9) = v10) | ~ (in(v10, v1) = v11) | ? [v12] : ( ~ (v12 = 0) & in(v9, v7) = v12))))))
% 136.11/74.27 | (356) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_field(v1) = v2) | ~ (subset(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_restriction(v1, v0) = v5 & well_ordering(v1) = v4 & relation_field(v5) = v6 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v6 = v0)))
% 136.11/74.27 | (357) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_inverse_image(v2, v1) = v3) | ~ (in(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (relation_rng(v2) = v6 & relation(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | (v11 = 0 & v10 = 0 & v8 = 0 & ordered_pair(v0, v7) = v9 & in(v9, v2) = 0 & in(v7, v6) = 0 & in(v7, v1) = 0)) & (v4 = 0 | ! [v12] : ( ~ (in(v12, v6) = 0) | ? [v13] : ? [v14] : ? [v15] : (ordered_pair(v0, v12) = v13 & in(v13, v2) = v14 & in(v12, v1) = v15 & ( ~ (v15 = 0) | ~ (v14 = 0)))))))))
% 136.11/74.27 | (358) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ? [v4] : (finite(v2) = v4 & finite(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 136.11/74.27 | (359) ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_rng(v1) = v0)
% 136.11/74.27 | (360) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (relation_rng(v2) = v5) | ~ (relation_dom(v2) = v3) | ~ (in(v1, v5) = v6) | ~ (in(v0, v3) = v4) | ? [v7] : ? [v8] : ? [v9] : (ordered_pair(v0, v1) = v8 & relation(v2) = v7 & in(v8, v2) = v9 & ( ~ (v9 = 0) | ~ (v7 = 0))))
% 136.11/74.27 | (361) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3))
% 136.11/74.27 | (362) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (unordered_pair(v1, v2) = v3) | ? [v4] : ? [v5] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ( ~ (v4 = v2) & ~ (v4 = v1))) & (v5 = 0 | v4 = v2 | v4 = v1)))
% 136.11/74.27 | (363) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (well_ordering(v2) = v1) | ~ (well_ordering(v2) = v0))
% 136.11/74.27 | (364) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pair_second(v2) = v1) | ~ (pair_second(v2) = v0))
% 136.11/74.27 | (365) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng(v1) = v2) | ~ (set_intersection2(v2, v0) = v3) | ? [v4] : ? [v5] : ? [v6] : (relation_rng(v5) = v6 & relation_rng_restriction(v0, v1) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v6 = v3)))
% 136.11/74.27 | (366) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v1 | ~ (pair_first(v0) = v1) | ~ (ordered_pair(v4, v5) = v0) | ~ (ordered_pair(v2, v3) = v0))
% 136.11/74.27 | (367) ! [v0] : ( ~ (preboolean(v0) = 0) | (cup_closed(v0) = 0 & diff_closed(v0) = 0))
% 136.11/74.27 | (368) ? [v0] : ? [v1] : ? [v2] : relation_of2(v2, v0, v1) = 0
% 136.11/74.27 | (369) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset(v0, v3) = v4) | ~ (set_intersection2(v1, v2) = v3) | ? [v5] : ? [v6] : (subset(v0, v2) = v6 & subset(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))))
% 136.11/74.27 | (370) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (is_transitive_in(v0, v1) = 0) | ~ (ordered_pair(v2, v4) = v6) | ~ (ordered_pair(v2, v3) = v5) | ~ (relation(v0) = 0) | ~ (in(v6, v0) = v7) | ~ (in(v5, v0) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (ordered_pair(v3, v4) = v11 & in(v11, v0) = v12 & in(v4, v1) = v10 & in(v3, v1) = v9 & in(v2, v1) = v8 & ( ~ (v12 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0))))
% 136.11/74.27 | (371) ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_rng(v0) = v5 & relation_dom(v0) = v6 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ! [v7] : ( ~ (function(v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (relation_dom(v7) = v9 & relation(v7) = v8 & ( ~ (v8 = 0) | (( ~ (v9 = v5) | v7 = v1 | (apply(v7, v10) = v13 & apply(v0, v11) = v15 & in(v11, v6) = v14 & in(v10, v5) = v12 & ((v15 = v10 & v14 = 0 & ( ~ (v13 = v11) | ~ (v12 = 0))) | (v13 = v11 & v12 = 0 & ( ~ (v15 = v10) | ~ (v14 = 0)))))) & ( ~ (v7 = v1) | (v9 = v5 & ! [v16] : ! [v17] : ! [v18] : ( ~ (in(v17, v6) = v18) | ~ (in(v16, v5) = 0) | ? [v19] : ? [v20] : (apply(v1, v16) = v19 & apply(v0, v17) = v20 & ( ~ (v19 = v17) | (v20 = v16 & v18 = 0)))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (in(v17, v6) = 0) | ~ (in(v16, v5) = v18) | ? [v19] : ? [v20] : (apply(v1, v16) = v20 & apply(v0, v17) = v19 & ( ~ (v19 = v16) | (v20 = v17 & v18 = 0)))))))))))))
% 136.11/74.28 | (372) ! [v0] : ! [v1] : (v1 = v0 | ~ (subset(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & subset(v1, v0) = v2))
% 136.11/74.28 | (373) ! [v0] : ! [v1] : ( ~ (natural(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (empty(v0) = v2 & epsilon_connected(v0) = v5 & epsilon_transitive(v0) = v4 & ordinal(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v5 = 0 & v4 = 0 & v1 = 0))))
% 136.11/74.28 | (374) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom(v0) = v1) | ~ (relation_image(v0, v1) = v2) | ? [v3] : ? [v4] : (relation_rng(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = v2)))
% 136.11/74.28 | (375) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cartesian_product2(v0, v1) = v3) | ~ (powerset(v3) = v4) | ~ (element(v2, v4) = 0) | relation(v2) = 0)
% 136.11/74.28 | (376) relation(all_0_15_15) = 0
% 136.11/74.28 | (377) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (relation_image(v1, v2) = v3) | ~ (relation(v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ! [v10] : ! [v11] : ( ~ (ordered_pair(v10, v4) = v11) | ~ (in(v11, v1) = 0) | ? [v12] : ( ~ (v12 = 0) & in(v10, v2) = v12))) & (v5 = 0 | (v9 = 0 & v8 = 0 & ordered_pair(v6, v4) = v7 & in(v7, v1) = 0 & in(v6, v2) = 0))))
% 136.11/74.28 | (378) ! [v0] : ( ~ (finite(v0) = 0) | ? [v1] : (powerset(v0) = v1 & ! [v2] : ( ~ (element(v2, v1) = 0) | finite(v2) = 0)))
% 136.11/74.28 | (379) relation(all_0_17_17) = 0
% 136.11/74.28 | (380) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v1, v3) = v4))
% 136.11/74.28 | (381) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : ( ~ (v3 = empty_set) & set_intersection2(v0, v1) = v3))
% 136.11/74.28 | (382) ! [v0] : ! [v1] : ( ~ (proper_subset(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & proper_subset(v1, v0) = v2))
% 136.11/74.28 | (383) ! [v0] : ( ~ (meet_absorbing(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (latt_str(v0) = v3 & meet_commutative(v0) = v2 & the_carrier(v0) = v4 & empty_carrier(v0) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | v1 = 0 | ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (below(v0, v7, v5) = v8) | ~ (meet_commut(v0, v5, v6) = v7) | ~ (element(v5, v4) = 0) | ? [v9] : ( ~ (v9 = 0) & element(v6, v4) = v9)))))
% 136.11/74.28 | (384) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (quasi_total(v4, v3, v2) = v1) | ~ (quasi_total(v4, v3, v2) = v0))
% 136.11/74.28 | (385) ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v1) | ~ (set_union2(v0, v1) = v2) | succ(v0) = v2)
% 136.11/74.28 | (386) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (unordered_triple(v4, v3, v2) = v1) | ~ (unordered_triple(v4, v3, v2) = v0))
% 136.11/74.28 | (387) ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0)))
% 136.11/74.28 | (388) below(all_0_49_49, all_0_46_46, all_0_45_45) = 0
% 136.11/74.28 | (389) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (relation_inverse_image(v1, v0) = v2) | ~ (relation_image(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (relation_rng(v1) = v6 & subset(v0, v6) = v7 & relation(v1) = v4 & function(v1) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))
% 136.11/74.28 | (390) relation(all_0_8_8) = 0
% 136.11/74.28 | (391) epsilon_connected(all_0_22_22) = 0
% 136.11/74.28 | (392) element(all_0_46_46, all_0_47_47) = 0
% 136.11/74.28 | (393) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty_carrier(v2) = v1) | ~ (empty_carrier(v2) = v0))
% 136.11/74.28 | (394) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_composition(v3, v2) = v1) | ~ (relation_composition(v3, v2) = v0))
% 136.11/74.28 | (395) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (set_difference(v1, v0) = v2) | ~ (set_union2(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 136.11/74.28 | (396) ordinal(all_0_9_9) = 0
% 136.11/74.28 | (397) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (being_limit_ordinal(v2) = v1) | ~ (being_limit_ordinal(v2) = v0))
% 136.11/74.28 | (398) ! [v0] : ! [v1] : ! [v2] : (v2 = empty_set | ~ (is_well_founded_in(v0, v1) = 0) | ~ (subset(v2, v1) = 0) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : (disjoint(v4, v2) = 0 & fiber(v0, v3) = v4 & in(v3, v2) = 0))
% 136.11/74.28 | (399) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset(v2, v3) = v4) | ~ (cartesian_product2(v0, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & relation_of2(v2, v0, v1) = v5))
% 136.11/74.28 | (400) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 136.11/74.28 | (401) latt_str(all_0_3_3) = 0
% 136.11/74.28 | (402) in(empty_set, omega) = 0
% 136.11/74.28 | (403) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v0, v0) = v3) | ~ (relation(v1) = 0) | ~ (function(v2) = 0) | ? [v4] : (( ~ (v4 = 0) & relation(v2) = v4) | ( ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (apply(v2, v7) = v9) | ~ (apply(v2, v6) = v8) | ~ (ordered_pair(v8, v9) = v10) | ~ (in(v10, v1) = 0) | ~ (in(v5, v3) = 0) | ? [v11] : ((v11 = 0 & in(v5, v4) = 0) | ( ~ (v11 = v5) & ordered_pair(v6, v7) = v11))) & ! [v5] : ! [v6] : (v6 = 0 | ~ (in(v5, v3) = v6) | ? [v7] : ( ~ (v7 = 0) & in(v5, v4) = v7)) & ! [v5] : ! [v6] : ( ~ (in(v5, v3) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = 0 & v9 = v5 & apply(v2, v8) = v11 & apply(v2, v7) = v10 & ordered_pair(v10, v11) = v12 & ordered_pair(v7, v8) = v5 & in(v12, v1) = 0) | ( ~ (v7 = 0) & in(v5, v4) = v7))))))
% 136.11/74.29 | (404) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjoint(v2, v1) = v3) | ~ (singleton(v0) = v2) | in(v0, v1) = 0)
% 136.11/74.29 | (405) ! [v0] : ! [v1] : ! [v2] : ( ~ (disjoint(v2, v1) = 0) | ~ (singleton(v0) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 136.11/74.29 | (406) being_limit_ordinal(omega) = 0
% 136.11/74.29 | (407) relation_empty_yielding(all_0_23_23) = 0
% 136.11/74.29 | (408) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (antisymmetric(v2) = v5 & antisymmetric(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 136.11/74.29 | (409) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (join(v0, v1, v2) = v4) | ~ (the_carrier(v0) = v3) | ~ (element(v4, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (empty_carrier(v0) = v6 & join_semilatt_str(v0) = v7 & element(v2, v3) = v9 & element(v1, v3) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v6 = 0)))
% 136.11/74.29 | (410) epsilon_transitive(all_0_15_15) = 0
% 136.11/74.29 | (411) ! [v0] : ! [v1] : ! [v2] : ( ~ (ordinal_subset(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (subset(v0, v1) = v5 & ordinal(v1) = v4 & ordinal(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | v5 = 0)))))
% 136.11/74.29 | (412) ! [v0] : ! [v1] : ( ~ (connected(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) | ! [v12] : ! [v13] : (v13 = v12 | ~ (in(v13, v3) = 0) | ~ (in(v12, v3) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : (ordered_pair(v13, v12) = v16 & ordered_pair(v12, v13) = v14 & in(v16, v0) = v17 & in(v14, v0) = v15 & (v17 = 0 | v15 = 0)))) & (v1 = 0 | (v7 = 0 & v6 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v5 = v4) & ordered_pair(v5, v4) = v10 & ordered_pair(v4, v5) = v8 & in(v10, v0) = v11 & in(v8, v0) = v9 & in(v5, v3) = 0 & in(v4, v3) = 0))))))
% 136.11/74.29 | (413) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_reflexive_in(v3, v2) = v1) | ~ (is_reflexive_in(v3, v2) = v0))
% 136.11/74.29 | (414) empty(all_0_11_11) = 0
% 136.11/74.29 | (415) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (set_difference(v0, v1) = v2) | ~ (subset(v2, v0) = v3))
% 136.11/74.29 | (416) ! [v0] : ! [v1] : (v1 = 0 | ~ (function(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v4 = v3) & ordered_pair(v2, v4) = v6 & ordered_pair(v2, v3) = v5 & in(v6, v0) = 0 & in(v5, v0) = 0))
% 136.11/74.29 | (417) ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ( ~ (relation_rng(v4) = v5) | ~ (subset(v3, v5) = 0) | ? [v6] : ? [v7] : ? [v8] : (relation_composition(v4, v0) = v7 & relation_rng(v7) = v8 & relation(v4) = v6 & ( ~ (v6 = 0) | v8 = v1))))))
% 136.11/74.29 | (418) empty(all_0_7_7) = all_0_6_6
% 136.11/74.29 | (419) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom(v1) = v2) | ~ (in(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (apply(v1, v0) = v6 & relation(v1) = v4 & function(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ! [v7] : ! [v8] : ! [v9] : ( ~ (v3 = 0) | ~ (relation_composition(v1, v7) = v8) | ~ (apply(v8, v0) = v9) | ? [v10] : ? [v11] : ? [v12] : (apply(v7, v6) = v12 & relation(v7) = v10 & function(v7) = v11 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = v9))))))
% 136.11/74.29 | (420) ! [v0] : ! [v1] : ( ~ (union(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (epsilon_connected(v1) = v4 & epsilon_transitive(v1) = v3 & ordinal(v1) = v5 & ordinal(v0) = v2 & ( ~ (v2 = 0) | (v5 = 0 & v4 = 0 & v3 = 0))))
% 136.11/74.29 | (421) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (fiber(v0, v1) = v2) | ~ (ordered_pair(v3, v1) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = v5) | ? [v6] : ( ~ (v6 = 0) & in(v3, v2) = v6))
% 136.11/74.29 | (422) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (apply(v3, v1) = v4) | ~ (relation_dom_restriction(v2, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (apply(v2, v1) = v8 & relation(v2) = v5 & function(v2) = v6 & in(v1, v0) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v8 = v4)))
% 136.11/74.29 | (423) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset(v2, v3) = 0) | ~ (cartesian_product2(v0, v1) = v3) | relation_of2(v2, v0, v1) = 0)
% 136.11/74.29 | (424) ~ (all_0_6_6 = 0)
% 136.11/74.29 | (425) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng(v0) = v2) | ~ (relation_dom(v0) = v1) | ~ (set_union2(v1, v2) = v3) | ? [v4] : ? [v5] : (relation_field(v0) = v5 & relation(v0) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 136.11/74.29 | (426) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v1) = v0) | ~ (subset(v0, v0) = v2))
% 136.11/74.29 | (427) ? [v0] : ? [v1] : (relation(v1) = 0 & function(v1) = 0 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (ordered_pair(v2, v3) = v4) | ~ (in(v4, v1) = v5) | ? [v6] : ? [v7] : (singleton(v2) = v7 & in(v2, v0) = v6 & ( ~ (v7 = v3) | ~ (v6 = 0)))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) | ~ (in(v4, v1) = 0) | (singleton(v2) = v3 & in(v2, v0) = 0)))
% 136.11/74.29 | (428) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (epsilon_connected(v0) = 0) | ~ (in(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v3] : ? [v4] : (in(v2, v1) = v4 & in(v1, v2) = v3 & (v4 = 0 | v3 = 0)))
% 136.11/74.30 | (429) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (element(v0, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5))
% 136.11/74.30 | (430) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | reflexive(v1) = 0)
% 136.11/74.30 | (431) ? [v0] : ! [v1] : ! [v2] : ( ~ (relation(v1) = 0) | ~ (function(v2) = 0) | ? [v3] : ? [v4] : ((v4 = 0 & relation(v3) = 0 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (apply(v2, v6) = v8) | ~ (apply(v2, v5) = v7) | ~ (ordered_pair(v7, v8) = v9) | ~ (in(v9, v1) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (ordered_pair(v5, v6) = v11 & in(v11, v3) = v12 & in(v6, v0) = v14 & in(v5, v0) = v13 & ( ~ (v12 = 0) | (v14 = 0 & v13 = 0 & v10 = 0)))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (apply(v2, v6) = v8) | ~ (apply(v2, v5) = v7) | ~ (ordered_pair(v7, v8) = v9) | ~ (in(v9, v1) = 0) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (ordered_pair(v5, v6) = v12 & in(v12, v3) = v13 & in(v6, v0) = v11 & in(v5, v0) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | v13 = 0)))) | ( ~ (v3 = 0) & relation(v2) = v3)))
% 136.11/74.30 | (432) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (set_difference(v1, v3) = v4) | ~ (singleton(v2) = v3) | ~ (subset(v0, v4) = v5) | ? [v6] : ? [v7] : (subset(v0, v1) = v6 & in(v2, v0) = v7 & ( ~ (v6 = 0) | v7 = 0)))
% 136.11/74.30 | (433) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (meet_commutative(v2) = v1) | ~ (meet_commutative(v2) = v0))
% 136.11/74.30 | (434) ! [v0] : ! [v1] : (v1 = 0 | ~ (ordinal(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (subset(v2, v0) = v4 & ordinal(v2) = v3 & in(v2, v0) = 0 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 136.29/74.30 | (435) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : ( ~ (v3 = v0) & set_difference(v0, v1) = v3))
% 136.29/74.30 | (436) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (finite(v2) = v1) | ~ (finite(v2) = v0))
% 136.29/74.30 | (437) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (in(v1, v2) = v3))
% 136.29/74.30 | (438) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ? [v2] : ? [v3] : (connected(v1) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 136.29/74.30 | (439) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_rng(v2) = v3) | ~ (relation_rng(v1) = v4) | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (subset(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6))
% 136.29/74.30 | (440) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (quasi_total(v2, empty_set, v1) = v3) | ~ (quasi_total(v2, empty_set, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (relation_of2_as_subset(v2, empty_set, v1) = v7 & relation_of2_as_subset(v2, empty_set, v0) = v5 & subset(v0, v1) = v6 & function(v2) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | (v7 = 0 & v3 = 0))))
% 136.29/74.30 | (441) ? [v0] : ? [v1] : ( ! [v2] : ! [v3] : ( ~ (ordinal(v2) = v3) | ? [v4] : ? [v5] : (in(v2, v1) = v4 & in(v2, v0) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0)))) & ! [v2] : ( ~ (ordinal(v2) = 0) | ? [v3] : ? [v4] : (in(v2, v1) = v4 & in(v2, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))))
% 136.29/74.30 | (442) ! [v0] : ! [v1] : ! [v2] : ( ~ (is_transitive_in(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (transitive(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 136.29/74.30 | (443) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_dom_as_subset(v0, v1, v2) = v3) | ~ (powerset(v0) = v4) | ~ (element(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation_of2(v2, v0, v1) = v6))
% 136.29/74.30 | (444) ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0))))
% 136.29/74.30 | (445) ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_dom(v1) = v0)
% 136.29/74.30 | (446) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (well_ordering(v2) = v5 & well_ordering(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 136.29/74.30 | (447) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (subset(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4))
% 136.29/74.30 | (448) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (in(v1, v2) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & subset_complement(v0, v2) = v4 & in(v1, v4) = v5))
% 136.29/74.30 | (449) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_dom_as_subset(v4, v3, v2) = v1) | ~ (relation_dom_as_subset(v4, v3, v2) = v0))
% 136.29/74.30 | (450) ! [v0] : ! [v1] : ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (empty(v2) = v5 & empty(v1) = v4 & empty(v0) = v3 & ( ~ (v5 = 0) | v4 = 0 | v3 = 0)))
% 136.29/74.30 | (451) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (powerset(v0) = v2) | ~ (element(v1, v2) = 0) | ~ (in(v3, v0) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v3, v1) = v5))
% 136.29/74.30 | (452) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 136.29/74.30 | (453) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (meet_of_subsets(v3, v2) = v1) | ~ (meet_of_subsets(v3, v2) = v0))
% 136.29/74.30 | (454) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (relation(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v4 = 0) & relation(v1) = v4) | (ordered_pair(v4, v5) = v6 & in(v6, v3) = v7 & in(v6, v1) = v9 & in(v5, v0) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)) & (v7 = 0 | (v9 = 0 & v8 = 0)))))
% 136.29/74.30 | (455) ordinal(all_0_22_22) = 0
% 136.29/74.30 | (456) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (cast_to_subset(v0) = v1) | ~ (powerset(v0) = v2) | ~ (element(v1, v2) = v3))
% 136.29/74.30 | (457) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (subset(empty_set, v1) = v2))
% 136.29/74.31 | (458) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_empty_yielding(v2) = v1) | ~ (relation_empty_yielding(v2) = v0))
% 136.29/74.31 | (459) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ordinal_subset(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (ordinal_subset(v1, v0) = v5 & ordinal(v1) = v4 & ordinal(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 136.29/74.31 | (460) ! [v0] : ! [v1] : ( ~ (being_limit_ordinal(v0) = 0) | ~ (succ(v1) = v0) | ? [v2] : (( ~ (v2 = 0) & ordinal(v1) = v2) | ( ~ (v2 = 0) & ordinal(v0) = v2)))
% 136.29/74.31 | (461) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | preboolean(v1) = 0)
% 136.29/74.31 | (462) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (apply(v2, v1) = v3) | ~ (identity_relation(v0) = v2) | ? [v4] : ( ~ (v4 = 0) & in(v1, v0) = v4))
% 136.29/74.31 | (463) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | union(v1) = v0)
% 136.29/74.31 | (464) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (subset(v3, v4) = v5) | ~ (cartesian_product2(v1, v2) = v4) | ~ (cartesian_product2(v0, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subset(v7, v8) = v9 & subset(v0, v1) = v6 & cartesian_product2(v2, v1) = v8 & cartesian_product2(v2, v0) = v7 & ( ~ (v6 = 0) | (v9 = 0 & v5 = 0))))
% 136.29/74.31 | (465) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_union2(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v5 = 0) | ( ~ (v7 = 0) & ~ (v6 = 0))) & (v7 = 0 | v6 = 0 | v5 = 0)))
% 136.29/74.31 | (466) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_dom(v3) = v4) | ~ (relation_dom_restriction(v2, v0) = v3) | ~ (in(v1, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (relation_dom(v2) = v8 & relation(v2) = v6 & function(v2) = v7 & in(v1, v8) = v9 & in(v1, v0) = v10 & ( ~ (v7 = 0) | ~ (v6 = 0) | (( ~ (v10 = 0) | ~ (v9 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v10 = 0 & v9 = 0))))))
% 136.29/74.31 | (467) ! [v0] : ! [v1] : (v1 = 0 | ~ (preboolean(v0) = v1) | ? [v2] : ? [v3] : (cup_closed(v0) = v2 & diff_closed(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 136.29/74.31 | (468) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v1 = empty_set | ~ (quasi_total(v3, v0, v1) = 0) | ~ (relation_inverse_image(v3, v2) = v4) | ~ (in(v5, v4) = v6) | ? [v7] : ? [v8] : ? [v9] : ((relation_of2_as_subset(v3, v0, v1) = v8 & function(v3) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))) | (apply(v3, v5) = v8 & in(v8, v2) = v9 & in(v5, v0) = v7 & ( ~ (v9 = 0) | ~ (v7 = 0)))))
% 136.29/74.31 | (469) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ~ (in(v5, v0) = 0) | ? [v6] : ? [v7] : (in(v5, v2) = v7 & in(v3, v1) = v6 & ( ~ (v6 = 0) | v7 = 0)))
% 136.29/74.31 | (470) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subset(v3, v4) = v5) | ~ (set_intersection2(v1, v2) = v4) | ~ (set_intersection2(v0, v2) = v3) | ? [v6] : ( ~ (v6 = 0) & subset(v0, v1) = v6))
% 136.29/74.31 | (471) ! [v0] : ( ~ (one_sorted_str(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (the_carrier(v0) = v2 & empty_carrier(v0) = v1 & empty(v2) = v3 & ( ~ (v3 = 0) | v1 = 0)))
% 136.29/74.31 | (472) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ (relation_dom_restriction(v2, v0) = v3) | ? [v4] : ? [v5] : (relation_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 136.29/74.31 | (473) ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0))
% 136.29/74.31 | (474) ! [v0] : ! [v1] : ( ~ (epsilon_connected(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (empty(v0) = v2 & epsilon_transitive(v0) = v3 & ordinal(v0) = v4 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0 & v1 = 0))))
% 136.29/74.31 | (475) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (identity_relation(v0) = v2) | ~ (relation(v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ordered_pair(v3, v4) = v5 & in(v5, v1) = v6 & in(v3, v0) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v4 = v3)) & (v6 = 0 | (v7 = 0 & v4 = v3))))
% 136.29/74.31 | (476) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 136.29/74.31 | (477) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 136.29/74.31 | (478) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (the_L_meet(v0) = v1) | ~ (quasi_total(v1, v3, v2) = v4) | ~ (the_carrier(v0) = v2) | ~ (cartesian_product2(v2, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (relation_of2_as_subset(v1, v3, v2) = v7 & meet_semilatt_str(v0) = v5 & function(v1) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0 & v4 = 0))))
% 136.29/74.31 | (479) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : (in(v3, v1) = 0 & in(v3, v0) = 0))
% 136.29/74.31 | (480) one_to_one(all_0_20_20) = 0
% 136.29/74.31 | (481) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v2) = v3) | ~ (subset(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & subset(v1, v2) = v4))
% 136.29/74.31 | (482) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (relation_dom_as_subset(v1, v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & in(v4, v1) = 0 & ! [v6] : ! [v7] : ( ~ (ordered_pair(v4, v6) = v7) | ~ (in(v7, v2) = 0))) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v1, v0) = v4)))
% 136.29/74.31 | (483) ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v0) = v2 & finite(v3) = 0 & empty(v3) = v4 & element(v3, v2) = 0))
% 136.29/74.31 | (484) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | v4 = v1 | v4 = v0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v4, v3) = 0))
% 136.29/74.31 | (485) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apply(v3, v2) = v1) | ~ (apply(v3, v2) = v0))
% 136.29/74.31 | (486) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (quasi_total(v3, v0, v1) = 0) | ~ (apply(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (relation_of2_as_subset(v3, v0, v1) = v6 & function(v3) = v5 & in(v2, v0) = v7 & ( ~ (v6 = 0) | ~ (v5 = 0) | ! [v8] : ! [v9] : ! [v10] : ( ~ (v7 = 0) | v1 = empty_set | ~ (relation_composition(v3, v8) = v9) | ~ (apply(v9, v2) = v10) | ? [v11] : ? [v12] : ? [v13] : (apply(v8, v4) = v13 & relation(v8) = v11 & function(v8) = v12 & ( ~ (v12 = 0) | ~ (v11 = 0) | v13 = v10))))))
% 136.29/74.32 | (487) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_difference(v0, v1) = v2) | ? [v3] : ? [v4] : (finite(v2) = v4 & finite(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 136.29/74.32 | (488) ! [v0] : ! [v1] : ! [v2] : ( ~ (equipotent(v0, v2) = 0) | ~ (relation_field(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & well_orders(v3, v0) = 0 & relation(v3) = 0) | (well_ordering(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))))
% 136.29/74.32 | (489) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_of2(v3, v6, v2) = 0) | ~ (cartesian_product2(v0, v1) = v6) | ~ (element(v5, v1) = 0) | ~ (element(v4, v0) = 0) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (apply_binary_as_element(v0, v1, v2, v3, v4, v5) = v11 & quasi_total(v3, v6, v2) = v10 & function(v3) = v9 & empty(v1) = v8 & empty(v0) = v7 & element(v11, v2) = v12 & ( ~ (v10 = 0) | ~ (v9 = 0) | v12 = 0 | v8 = 0 | v7 = 0)))
% 136.29/74.32 | (490) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_field(v2) = v1) | ~ (relation_field(v2) = v0))
% 136.29/74.32 | (491) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_image(v3, v2) = v1) | ~ (relation_image(v3, v2) = v0))
% 136.29/74.32 | (492) ! [v0] : ! [v1] : ! [v2] : (v0 = empty_set | ~ (relation_rng(v1) = v2) | ~ (subset(v0, v2) = 0) | ? [v3] : ? [v4] : (relation_inverse_image(v1, v0) = v4 & relation(v1) = v3 & ( ~ (v4 = empty_set) | ~ (v3 = 0))))
% 136.29/74.32 | (493) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (in(v0, v2) = v3))
% 136.29/74.32 | (494) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (set_difference(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v4 = 0 & ~ (v6 = 0)))))
% 136.29/74.32 | (495) relation(all_0_20_20) = 0
% 136.29/74.32 | (496) ! [v0] : ! [v1] : ( ~ (proper_subset(v0, v1) = 0) | subset(v0, v1) = 0)
% 136.29/74.32 | (497) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_dom(v3) = v4) | ~ (relation_dom_restriction(v2, v0) = v3) | ~ (in(v1, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (apply(v3, v1) = v7 & apply(v2, v1) = v8 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = v7)))
% 136.29/74.32 | (498) relation_dom(empty_set) = empty_set
% 136.29/74.32 | (499) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = 0 | ~ (relation_composition(v0, v1) = v2) | ~ (ordered_pair(v3, v7) = v8) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ~ (in(v8, v0) = 0) | ~ (in(v5, v2) = v6) | ? [v9] : ? [v10] : (( ~ (v10 = 0) & ordered_pair(v7, v4) = v9 & in(v9, v1) = v10) | ( ~ (v9 = 0) & relation(v1) = v9)))
% 136.29/74.32 | (500) ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0) | ( ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | ~ (in(v7, v4) = 0) | ~ (in(v5, v1) = v6) | ? [v8] : ( ~ (v8 = v5) & apply(v0, v7) = v8)) & ! [v5] : ( ~ (in(v5, v1) = 0) | ? [v6] : (apply(v0, v6) = v5 & in(v6, v4) = 0)) & ? [v5] : (v5 = v1 | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (in(v6, v5) = v7 & ( ~ (v7 = 0) | ! [v11] : ( ~ (in(v11, v4) = 0) | ? [v12] : ( ~ (v12 = v6) & apply(v0, v11) = v12))) & (v7 = 0 | (v10 = v6 & v9 = 0 & apply(v0, v8) = v6 & in(v8, v4) = 0))))))))
% 136.29/74.32 | (501) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = empty_set | ~ (quasi_total(v3, v0, v1) = 0) | ~ (relation_inverse_image(v3, v2) = v4) | ~ (in(v5, v4) = 0) | ? [v6] : ? [v7] : ? [v8] : ((v8 = 0 & v6 = 0 & apply(v3, v5) = v7 & in(v7, v2) = 0 & in(v5, v0) = 0) | (relation_of2_as_subset(v3, v0, v1) = v7 & function(v3) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))))
% 136.29/74.32 | (502) ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v0) = v2 & empty(v3) = v4 & element(v3, v2) = 0))
% 136.29/74.32 | (503) ? [v0] : ? [v1] : (in(v0, v1) = 0 & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (powerset(v2) = v3) | ~ (in(v3, v1) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v2, v1) = v5)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (are_equipotent(v2, v1) = v3) | ? [v4] : ? [v5] : (subset(v2, v1) = v4 & in(v2, v1) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ! [v3] : ( ~ (subset(v3, v2) = 0) | ? [v4] : ? [v5] : (in(v3, v1) = v5 & in(v2, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))))
% 136.29/74.32 | (504) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation(v2) = v7 & relation(v1) = v5 & relation(v0) = v3 & function(v2) = v8 & function(v1) = v6 & function(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | (v8 = 0 & v7 = 0))))
% 136.29/74.32 | (505) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (element(v1, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (meet_commutative(v0) = v5 & meet_semilatt_str(v0) = v6 & meet_commut(v0, v2, v1) = v8 & meet_commut(v0, v1, v2) = v7 & empty_carrier(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = v7 | v4 = 0)))
% 136.29/74.32 | (506) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordinal_subset(v3, v2) = v1) | ~ (ordinal_subset(v3, v2) = v0))
% 136.29/74.32 | (507) ? [v0] : ? [v1] : (in(v0, v1) = 0 & ! [v2] : ! [v3] : (v3 = 0 | ~ (are_equipotent(v2, v1) = v3) | ? [v4] : ? [v5] : (subset(v2, v1) = v4 & in(v2, v1) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ! [v3] : ( ~ (subset(v3, v2) = 0) | ? [v4] : ? [v5] : (in(v3, v1) = v5 & in(v2, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ( ~ (in(v2, v1) = 0) | ? [v3] : (in(v3, v1) = 0 & ! [v4] : ( ~ (subset(v4, v2) = 0) | in(v4, v3) = 0))))
% 136.29/74.33 | (508) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (subset_complement(v0, v2) = v3) | ~ (subset_complement(v0, v1) = v2) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & powerset(v0) = v4 & element(v1, v4) = v5))
% 136.29/74.33 | (509) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (singleton(v0) = v2) | ~ (set_union2(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 136.29/74.33 | (510) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0)
% 136.29/74.33 | (511) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset_complement(v3, v2) = v1) | ~ (subset_complement(v3, v2) = v0))
% 136.29/74.33 | (512) relation(all_0_12_12) = 0
% 136.29/74.33 | (513) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (in(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4))
% 136.29/74.33 | (514) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : (in(v2, v1) = 0 & ! [v3] : ( ~ (in(v3, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & in(v3, v2) = v4))))
% 136.29/74.33 | (515) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_difference(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 136.29/74.33 | (516) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_rng_as_subset(v0, v1, v2) = v3) | ~ (powerset(v1) = v4) | ~ (element(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation_of2(v2, v0, v1) = v6))
% 136.29/74.33 | (517) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_inverse(v2) = v1) | ~ (relation_inverse(v2) = v0))
% 136.29/74.33 | (518) ! [v0] : ! [v1] : (v1 = 0 | ~ (finite(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2))
% 136.29/74.33 | (519) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (below(v4, v3, v2) = v1) | ~ (below(v4, v3, v2) = v0))
% 136.29/74.33 | (520) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (ordered_pair(v2, v3) = v4) | ~ (ordered_pair(v0, v1) = v4))
% 136.29/74.33 | (521) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_rng(v2) = v3) | ~ (relation_rng(v1) = v4) | ~ (relation_dom_restriction(v1, v0) = v2) | ~ (subset(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6))
% 136.29/74.33 | (522) join_commutative(all_0_49_49) = 0
% 136.29/74.33 | (523) ~ (all_0_45_45 = all_0_46_46)
% 136.29/74.33 | (524) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (meet_absorbing(v2) = v1) | ~ (meet_absorbing(v2) = v0))
% 136.29/74.33 | (525) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_rng(v2) = v3) | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (subset(v3, v0) = v4) | ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5))
% 136.29/74.33 | (526) function(all_0_8_8) = 0
% 136.29/74.33 | (527) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0))
% 136.29/74.33 | (528) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v1 = empty_set | ~ (quasi_total(v3, v0, v1) = 0) | ~ (relation_rng(v3) = v5) | ~ (apply(v3, v2) = v4) | ~ (in(v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (relation_of2_as_subset(v3, v0, v1) = v8 & function(v3) = v7 & in(v2, v0) = v9 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))
% 136.29/74.33 | (529) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 136.29/74.33 | (530) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_isomorphism(v4, v3, v2) = v1) | ~ (relation_isomorphism(v4, v3, v2) = v0))
% 136.29/74.33 | (531) ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | finite(v1) = 0)
% 136.29/74.33 | (532) powerset(all_0_51_51) = all_0_50_50
% 136.29/74.33 | (533) relation(all_0_14_14) = 0
% 136.29/74.33 | (534) ! [v0] : ! [v1] : ( ~ (epsilon_transitive(v0) = 0) | ~ (proper_subset(v0, v1) = 0) | ? [v2] : ? [v3] : (ordinal(v1) = v2 & in(v0, v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 136.29/74.33 | (535) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_isomorphism(v0, v2, v4) = v5) | ~ (relation_field(v2) = v3) | ~ (relation_field(v0) = v1) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (( ~ (v6 = 0) & relation(v2) = v6) | ( ~ (v6 = 0) & relation(v0) = v6) | (relation_rng(v4) = v9 & relation_dom(v4) = v8 & one_to_one(v4) = v10 & relation(v4) = v6 & function(v4) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | (( ~ (v10 = 0) | ~ (v9 = v3) | ~ (v8 = v1) | v5 = 0 | (apply(v4, v12) = v18 & apply(v4, v11) = v17 & ordered_pair(v17, v18) = v19 & ordered_pair(v11, v12) = v13 & in(v19, v2) = v20 & in(v13, v0) = v14 & in(v12, v1) = v16 & in(v11, v1) = v15 & ( ~ (v20 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0)) & (v14 = 0 | (v20 = 0 & v16 = 0 & v15 = 0)))) & ( ~ (v5 = 0) | (v10 = 0 & v9 = v3 & v8 = v1 & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (apply(v4, v22) = v24) | ~ (apply(v4, v21) = v23) | ~ (ordered_pair(v23, v24) = v25) | ~ (in(v25, v2) = v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (ordered_pair(v21, v22) = v27 & in(v27, v0) = v28 & in(v22, v1) = v30 & in(v21, v1) = v29 & ( ~ (v28 = 0) | (v30 = 0 & v29 = 0 & v26 = 0)))) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (apply(v4, v22) = v24) | ~ (apply(v4, v21) = v23) | ~ (ordered_pair(v23, v24) = v25) | ~ (in(v25, v2) = 0) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (ordered_pair(v21, v22) = v28 & in(v28, v0) = v29 & in(v22, v1) = v27 & in(v21, v1) = v26 & ( ~ (v27 = 0) | ~ (v26 = 0) | v29 = 0))))))))))
% 136.29/74.33 | (536) empty(all_0_12_12) = 0
% 136.29/74.33 | (537) ! [v0] : ! [v1] : ( ~ (relation(v0) = 0) | ~ (in(v1, v0) = 0) | ? [v2] : ? [v3] : ordered_pair(v2, v3) = v1)
% 136.29/74.33 | (538) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (set_meet(v2) = v1) | ~ (set_meet(v2) = v0))
% 136.29/74.33 | (539) ! [v0] : ! [v1] : ( ~ (set_difference(v0, v1) = empty_set) | subset(v0, v1) = 0)
% 136.29/74.34 | (540) ! [v0] : ! [v1] : ! [v2] : (v2 = empty_set | ~ (set_difference(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 136.29/74.34 | (541) below(all_0_49_49, all_0_45_45, all_0_46_46) = 0
% 136.29/74.34 | (542) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subset_difference(v0, v1, v2) = v4) | ~ (powerset(v0) = v3) | ~ (element(v4, v3) = v5) | ? [v6] : ? [v7] : (element(v2, v3) = v7 & element(v1, v3) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 136.29/74.34 | (543) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (finite(v2) = v5 & finite(v1) = v4 & finite(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 136.29/74.34 | (544) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (relation_inverse_image(v0, v1) = v2) | ~ (ordered_pair(v3, v5) = v6) | ~ (relation(v0) = 0) | ~ (in(v6, v0) = 0) | ~ (in(v3, v2) = v4) | ? [v7] : ( ~ (v7 = 0) & in(v5, v1) = v7))
% 136.29/74.34 | (545) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_connected_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & ~ (v6 = 0) & ~ (v4 = v3) & ordered_pair(v4, v3) = v7 & ordered_pair(v3, v4) = v5 & in(v7, v0) = v8 & in(v5, v0) = v6 & in(v4, v1) = 0 & in(v3, v1) = 0))
% 136.29/74.34 | (546) ? [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))
% 136.29/74.34 | (547) ! [v0] : ( ~ (join_semilatt_str(v0) = 0) | ? [v1] : ? [v2] : (the_carrier(v0) = v2 & empty_carrier(v0) = v1 & (v1 = 0 | ! [v3] : ! [v4] : ( ~ (element(v4, v2) = 0) | ~ (element(v3, v2) = 0) | ? [v5] : ? [v6] : (below(v0, v3, v4) = v5 & join(v0, v3, v4) = v6 & ( ~ (v6 = v4) | v5 = 0) & ( ~ (v5 = 0) | v6 = v4))))))
% 136.29/74.34 | (548) ? [v0] : (v0 = empty_set | ? [v1] : in(v1, v0) = 0)
% 136.29/74.34 | (549) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (relation_restriction(v2, v0) = v3) | ~ (fiber(v3, v1) = v4) | ~ (fiber(v2, v1) = v5) | ~ (subset(v4, v5) = v6) | ? [v7] : ( ~ (v7 = 0) & relation(v2) = v7))
% 136.29/74.34 | (550) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_union2(v0, empty_set) = v1))
% 136.29/74.34 | (551) the_carrier(all_0_49_49) = all_0_47_47
% 136.29/74.34 | (552) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v1, v0) = v2) | ? [v3] : ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0)))
% 136.29/74.34 | (553) ! [v0] : ! [v1] : (v1 = 0 | ~ (being_limit_ordinal(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & succ(v2) = v0 & ordinal(v2) = 0) | ( ~ (v2 = 0) & ordinal(v0) = v2)))
% 136.29/74.34 | (554) epsilon_transitive(all_0_10_10) = 0
% 136.29/74.34 | (555) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (unordered_triple(v1, v2, v3) = v4) | ? [v5] : ? [v6] : (in(v5, v0) = v6 & ( ~ (v6 = 0) | ( ~ (v5 = v3) & ~ (v5 = v2) & ~ (v5 = v1))) & (v6 = 0 | v5 = v3 | v5 = v2 | v5 = v1)))
% 136.29/74.34 | (556) ! [v0] : ~ (in(v0, empty_set) = 0)
% 136.29/74.34 | (557) ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ( ~ (relation_dom(v4) = v5) | ~ (subset(v1, v5) = 0) | ? [v6] : ? [v7] : ? [v8] : (relation_composition(v0, v4) = v7 & relation_dom(v7) = v8 & relation(v4) = v6 & ( ~ (v6 = 0) | v8 = v3))))))
% 136.29/74.34 | (558) function(all_0_15_15) = 0
% 136.29/74.34 | (559) ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (relation_inverse(v0) = v5 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v5 = v1)))
% 136.29/74.34 | (560) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (are_equipotent(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & equipotent(v0, v1) = v3))
% 136.29/74.34 | (561) ! [v0] : ( ~ (union(v0) = v0) | being_limit_ordinal(v0) = 0)
% 136.29/74.34 | (562) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_of2_as_subset(v3, v2, v1) = v4) | ~ (relation_of2_as_subset(v3, v2, v0) = 0) | ? [v5] : ( ~ (v5 = 0) & subset(v0, v1) = v5))
% 136.29/74.34 | (563) function(all_0_14_14) = 0
% 136.29/74.34 | (564) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | relation(v1) = 0)
% 136.29/74.34 | (565) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (element(v1, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (meet(v0, v1, v2) = v8 & meet_commutative(v0) = v5 & meet_semilatt_str(v0) = v6 & meet_commut(v0, v1, v2) = v7 & empty_carrier(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = v7 | v4 = 0)))
% 136.29/74.34 | (566) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0))
% 136.29/74.34 | (567) ordinal(all_0_15_15) = 0
% 136.29/74.34 | (568) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ~ (in(v5, v0) = v6) | ? [v7] : ? [v8] : (in(v5, v2) = v7 & in(v3, v1) = v8 & ( ~ (v7 = 0) | (v8 = 0 & v6 = 0))))
% 136.46/74.34 | (569) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset(v3, v2) = 0) | ~ (unordered_pair(v0, v1) = v3) | (in(v1, v2) = 0 & in(v0, v2) = 0))
% 136.46/74.34 | (570) ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (one_to_one(v1) = v5 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0)))
% 136.46/74.34 | (571) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (singleton(v1) = v3) | ~ (singleton(v0) = v2) | ~ (subset(v2, v3) = 0))
% 136.46/74.34 | (572) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & in(v4, v1) = v5 & in(v4, v0) = 0))
% 136.46/74.34 | (573) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (relation(v1) = 0) | ~ (empty(v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & v9 = v3 & v8 = 0 & v7 = v3 & v6 = 0 & ~ (v5 = v4) & in(v5, v3) = 0 & in(v4, v3) = 0 & in(v3, v0) = 0 & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (ordered_pair(v5, v11) = v12) | ~ (in(v12, v1) = v13) | ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (ordered_pair(v4, v11) = v12) | ~ (in(v12, v1) = v13) | ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14))) | ( ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (in(v13, v0) = 0) | ~ (in(v11, v13) = 0) | ~ (in(v11, v3) = v12) | ? [v14] : ? [v15] : ? [v16] : ( ~ (v16 = 0) & ordered_pair(v11, v14) = v15 & in(v15, v1) = v16 & in(v14, v13) = 0)) & ! [v11] : ( ~ (in(v11, v3) = 0) | ? [v12] : (in(v12, v0) = 0 & in(v11, v12) = 0 & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (ordered_pair(v11, v13) = v14) | ~ (in(v14, v1) = v15) | ? [v16] : ( ~ (v16 = 0) & in(v13, v12) = v16)))))))
% 136.46/74.35 | (574) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v2) = v5 & relation(v0) = v3 & function(v2) = v6 & function(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 136.46/74.35 | (575) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (join_semilatt_str(v2) = v1) | ~ (join_semilatt_str(v2) = v0))
% 136.46/74.35 | (576) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : ? [v4] : (set_intersection2(v0, v1) = v3 & in(v4, v3) = 0))
% 136.46/74.35 | (577) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (the_L_join(v0) = v1) | ~ (quasi_total(v1, v3, v2) = v4) | ~ (the_carrier(v0) = v2) | ~ (cartesian_product2(v2, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (relation_of2_as_subset(v1, v3, v2) = v7 & join_semilatt_str(v0) = v5 & function(v1) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0 & v4 = 0))))
% 136.46/74.35 | (578) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (connected(v2) = v5 & connected(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 136.46/74.35 | (579) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (empty(v1) = v3 & epsilon_connected(v1) = v5 & epsilon_transitive(v1) = v4 & ordinal(v1) = v6 & ordinal(v0) = v2 & ( ~ (v2 = 0) | (v6 = 0 & v5 = 0 & v4 = 0 & ~ (v3 = 0)))))
% 136.46/74.35 | (580) relation(all_0_26_26) = 0
% 136.46/74.35 | (581) ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_inverse_image(v0, v3) = v4) | ~ (apply(v0, v5) = v6) | ~ (in(v6, v3) = v7) | ? [v8] : ? [v9] : (in(v5, v4) = v8 & in(v5, v2) = v9 & ( ~ (v8 = 0) | (v9 = 0 & v7 = 0)))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_inverse_image(v0, v3) = v4) | ~ (apply(v0, v5) = v6) | ~ (in(v6, v3) = 0) | ? [v7] : ? [v8] : (in(v5, v4) = v8 & in(v5, v2) = v7 & ( ~ (v7 = 0) | v8 = 0))) & ? [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (relation_inverse_image(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (apply(v0, v6) = v9 & in(v9, v4) = v10 & in(v6, v3) = v7 & in(v6, v2) = v8 & ( ~ (v10 = 0) | ~ (v8 = 0) | ~ (v7 = 0)) & (v7 = 0 | (v10 = 0 & v8 = 0))))))))
% 136.46/74.35 | (582) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (empty(v2) = 0 & element(v2, v1) = 0))
% 136.46/74.35 | (583) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v2, v0) = 0) | ~ (powerset(v0) = v1) | in(v2, v1) = 0)
% 136.46/74.35 | (584) ! [v0] : ! [v1] : ( ~ (the_L_join(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (the_carrier(v0) = v4 & empty_carrier(v0) = v2 & join_semilatt_str(v0) = v3 & ( ~ (v3 = 0) | v2 = 0 | ! [v5] : ! [v6] : ! [v7] : ( ~ (apply_binary_as_element(v4, v4, v4, v1, v5, v6) = v7) | ~ (element(v5, v4) = 0) | ? [v8] : ? [v9] : (join(v0, v5, v6) = v9 & element(v6, v4) = v8 & ( ~ (v8 = 0) | v9 = v7))))))
% 136.46/74.35 | (585) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 136.46/74.35 | (586) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v0, v2) = v3) | ~ (set_difference(v0, v1) = v2) | set_intersection2(v0, v1) = v3)
% 136.46/74.35 | (587) ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_intersection2(v0, v1) = empty_set)
% 136.46/74.35 | (588) ! [v0] : ! [v1] : (v1 = 0 | ~ (relation(v0) = v1) | ? [v2] : (in(v2, v0) = 0 & ! [v3] : ! [v4] : ~ (ordered_pair(v3, v4) = v2)))
% 136.46/74.35 | (589) relation_empty_yielding(empty_set) = 0
% 136.46/74.35 | (590) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (well_founded_relation(v2) = v5 & well_founded_relation(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 136.46/74.35 | (591) ! [v0] : ! [v1] : (v1 = v0 | ~ (relation(v1) = 0) | ~ (relation(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (ordered_pair(v2, v3) = v4 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)) & (v6 = 0 | v5 = 0)))
% 136.46/74.35 | (592) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_image(v2, v1) = v3) | ~ (in(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (relation_dom(v2) = v6 & relation(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | (v11 = 0 & v10 = 0 & v8 = 0 & ordered_pair(v7, v0) = v9 & in(v9, v2) = 0 & in(v7, v6) = 0 & in(v7, v1) = 0)) & (v4 = 0 | ! [v12] : ( ~ (in(v12, v6) = 0) | ? [v13] : ? [v14] : ? [v15] : (ordered_pair(v12, v0) = v13 & in(v13, v2) = v14 & in(v12, v1) = v15 & ( ~ (v15 = 0) | ~ (v14 = 0)))))))))
% 136.46/74.35 | (593) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_difference(v0, v2) = v0) | ~ (singleton(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3))
% 136.46/74.35 | (594) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union_of_subsets(v0, v1) = v3) | ~ (powerset(v0) = v2) | ~ (element(v3, v2) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & powerset(v2) = v5 & element(v1, v5) = v6))
% 136.46/74.35 | (595) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (one_to_one(v2) = 0 & natural(v2) = 0 & relation(v2) = 0 & function(v2) = 0 & finite(v2) = 0 & empty(v2) = 0 & epsilon_connected(v2) = 0 & element(v2, v1) = 0 & epsilon_transitive(v2) = 0 & ordinal(v2) = 0))
% 136.46/74.36 | (596) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng(v0) = v1) | ~ (relation_image(v2, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & relation(v0) = v4) | (relation_composition(v0, v2) = v5 & relation_rng(v5) = v6 & relation(v2) = v4 & ( ~ (v4 = 0) | v6 = v3))))
% 136.46/74.36 | (597) function(empty_set) = 0
% 136.46/74.36 | (598) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union_of_subsets(v3, v2) = v1) | ~ (union_of_subsets(v3, v2) = v0))
% 136.46/74.36 | (599) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0))
% 136.46/74.36 | (600) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | cup_closed(v1) = 0)
% 136.46/74.36 | (601) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v6 = 0 & ~ (v7 = 0) & ordered_pair(v3, v4) = v5 & in(v5, v1) = v7 & in(v5, v0) = 0) | ( ~ (v3 = 0) & relation(v1) = v3)))
% 136.46/74.36 | (602) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0))
% 136.46/74.36 | (603) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (powerset(v3) = v4) | ~ (powerset(v0) = v3) | ~ (function(v2) = 0) | ~ (element(v1, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_dom(v2) = v6 & powerset(v6) = v7 & relation(v2) = v5 & ( ~ (v5 = 0) | ( ! [v9] : ! [v10] : ( ~ (in(v9, v7) = v10) | ? [v11] : ? [v12] : ? [v13] : (relation_image(v2, v9) = v12 & in(v12, v1) = v13 & in(v9, v8) = v11 & ( ~ (v11 = 0) | (v13 = 0 & v10 = 0)))) & ! [v9] : ( ~ (in(v9, v7) = 0) | ? [v10] : ? [v11] : ? [v12] : (relation_image(v2, v9) = v10 & in(v10, v1) = v11 & in(v9, v8) = v12 & ( ~ (v11 = 0) | v12 = 0)))))))
% 136.46/74.36 | (604) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (identity_relation(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v1) = 0) | ~ (in(v4, v1) = 0))
% 136.46/74.36 | (605) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_image(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v1) = v3 & function(v1) = v4 & finite(v2) = v6 & finite(v0) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v6 = 0)))
% 136.46/74.36 | (606) ! [v0] : ~ (proper_subset(v0, v0) = 0)
% 136.46/74.36 | (607) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_of2(v4, v3, v2) = v1) | ~ (relation_of2(v4, v3, v2) = v0))
% 136.46/74.36 | (608) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (join_commut(v4, v3, v2) = v1) | ~ (join_commut(v4, v3, v2) = v0))
% 136.46/74.36 | (609) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 136.46/74.36 | (610) ! [v0] : ! [v1] : ! [v2] : ( ~ (in(v1, v2) = 0) | ~ (in(v0, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v2, v0) = v3))
% 136.46/74.36 | (611) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (preboolean(v2) = v1) | ~ (preboolean(v2) = v0))
% 136.46/74.36 | (612) ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(empty_set, v0) = v1))
% 136.46/74.36 | (613) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (disjoint(v3, v2) = v1) | ~ (disjoint(v3, v2) = v0))
% 136.46/74.36 | (614) ? [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ? [v3] : (( ~ (v3 = 0) & ordinal(v1) = v3) | ( ! [v4] : ! [v5] : (v5 = 0 | ~ (ordinal(v4) = 0) | ~ (in(v4, v3) = v5) | ~ (in(v4, v2) = 0) | ? [v6] : ( ~ (v6 = 0) & in(v4, v0) = v6)) & ! [v4] : ( ~ (in(v4, v3) = 0) | (ordinal(v4) = 0 & in(v4, v2) = 0 & in(v4, v0) = 0)))))
% 136.46/74.36 | (615) ! [v0] : ! [v1] : ( ~ (equipotent(v0, v1) = 0) | ? [v2] : (relation_rng(v2) = v1 & relation_dom(v2) = v0 & one_to_one(v2) = 0 & relation(v2) = 0 & function(v2) = 0))
% 136.46/74.36 | (616) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 136.46/74.36 | (617) ! [v0] : ( ~ (empty(v0) = 0) | function(v0) = 0)
% 136.46/74.36 | (618) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (relation_rng_as_subset(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & in(v4, v1) = 0 & ! [v6] : ! [v7] : ( ~ (ordered_pair(v6, v4) = v7) | ~ (in(v7, v2) = 0))) | ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4)))
% 136.46/74.36 | (619) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_restriction(v3, v2) = v1) | ~ (relation_restriction(v3, v2) = v0))
% 136.46/74.36 | (620) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (fiber(v1, v2) = v3) | ~ (relation(v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ordered_pair(v4, v2) = v6 & in(v6, v1) = v7 & in(v4, v0) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0) | v4 = v2) & (v5 = 0 | (v7 = 0 & ~ (v4 = v2)))))
% 136.46/74.36 | (621) one_to_one(all_0_11_11) = 0
% 136.46/74.36 | (622) ! [v0] : ! [v1] : ! [v2] : ( ~ (well_orders(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (well_ordering(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 136.46/74.36 | (623) ! [v0] : ( ~ (in(empty_set, v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (being_limit_ordinal(v0) = v2 & subset(omega, v0) = v3 & ordinal(v0) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = 0)))
% 136.46/74.36 | (624) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ? [v2] : ? [v3] : (well_ordering(v1) = v3 & ordinal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 136.46/74.36 | (625) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3))
% 136.46/74.36 | (626) ! [v0] : ! [v1] : ( ~ (reflexive(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) | ! [v8] : ( ~ (in(v8, v3) = 0) | ? [v9] : (ordered_pair(v8, v8) = v9 & in(v9, v0) = 0))) & (v1 = 0 | (v5 = 0 & ~ (v7 = 0) & ordered_pair(v4, v4) = v6 & in(v6, v0) = v7 & in(v4, v3) = 0))))))
% 136.46/74.37 | (627) ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | pair_first(v2) = v0)
% 136.46/74.37 | (628) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0))
% 136.46/74.37 | (629) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v0) = v1) | ~ (ordinal_subset(v1, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ordinal(v0) = v4) | (ordinal(v2) = v4 & in(v0, v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v3 = 0) & ( ~ (v3 = 0) | v5 = 0))))))
% 136.46/74.37 | (630) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 136.46/74.37 | (631) ! [v0] : ! [v1] : ! [v2] : ( ~ (epsilon_connected(v1) = v2) | ~ (ordinal(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : (element(v1, v0) = v3 & epsilon_transitive(v1) = v4 & ordinal(v1) = v5 & ( ~ (v3 = 0) | (v5 = 0 & v4 = 0 & v2 = 0))))
% 136.46/74.37 | (632) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_transitive_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = 0) & ordered_pair(v4, v5) = v7 & ordered_pair(v3, v5) = v8 & ordered_pair(v3, v4) = v6 & in(v8, v0) = v9 & in(v7, v0) = 0 & in(v6, v0) = 0 & in(v5, v1) = 0 & in(v4, v1) = 0 & in(v3, v1) = 0))
% 136.46/74.37 | (633) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_inverse_image(v1, v0) = v2) | ~ (relation_dom(v1) = v3) | ~ (subset(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5))
% 136.46/74.37 | (634) ? [v0] : ? [v1] : element(v1, v0) = 0
% 136.46/74.37 | (635) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_well_founded_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ( ~ (v3 = empty_set) & subset(v3, v1) = 0 & ! [v4] : ! [v5] : ( ~ (disjoint(v5, v3) = 0) | ~ (fiber(v0, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6))))
% 136.46/74.37 | (636) ? [v0] : ? [v1] : (well_orders(v1, v0) = 0 & relation(v1) = 0)
% 136.46/74.37 | (637) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equipotent(v3, v2) = v1) | ~ (equipotent(v3, v2) = v0))
% 136.46/74.37 | (638) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (union(v1) = v2) | ~ (subset(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 136.46/74.37 | (639) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (function_inverse(v2) = v3) | ~ (relation_isomorphism(v1, v0, v3) = v4) | ~ (relation(v1) = 0) | ~ (relation(v0) = 0) | ? [v5] : ? [v6] : ? [v7] : (relation_isomorphism(v0, v1, v2) = v7 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0))))
% 136.46/74.37 | (640) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v2) | ~ (element(v1, v2) = 0) | ? [v3] : (subset_complement(v0, v1) = v3 & set_difference(v0, v1) = v3))
% 136.46/74.37 | (641) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (antisymmetric(v0) = 0) | ~ (ordered_pair(v1, v2) = v3) | ~ (in(v3, v0) = 0) | ? [v4] : ? [v5] : (( ~ (v5 = 0) & ordered_pair(v2, v1) = v4 & in(v4, v0) = v5) | ( ~ (v4 = 0) & relation(v0) = v4)))
% 136.46/74.37 | (642) ordinal(omega) = 0
% 136.46/74.37 | (643) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_inverse_image(v1, v0) = v2) | ~ (relation_image(v1, v2) = v3) | ~ (subset(v3, v0) = v4) | ? [v5] : ? [v6] : (relation(v1) = v5 & function(v1) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0))))
% 136.46/74.37 | (644) ? [v0] : ! [v1] : ( ~ (ordinal(v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & ordinal(v2) = 0 & in(v2, v0) = 0 & ! [v5] : ! [v6] : (v6 = 0 | ~ (ordinal_subset(v2, v5) = v6) | ? [v7] : ? [v8] : (ordinal(v5) = v7 & in(v5, v0) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0))))) | ( ~ (v2 = 0) & in(v1, v0) = v2)))
% 136.46/74.37 | (645) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_difference(v0, empty_set) = v1))
% 136.46/74.37 | (646) ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = v0 & v4 = 0 & v3 = 0 & relation_dom(v2) = v0 & relation(v2) = 0 & function(v2) = 0 & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (apply(v2, v6) = v7) | ~ (in(v7, v6) = v8) | ? [v9] : ( ~ (v9 = 0) & in(v6, v0) = v9))) | (v3 = 0 & v2 = empty_set & in(empty_set, v0) = 0)))
% 136.46/74.37 | (647) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_field(v2) = v3) | ~ (in(v1, v3) = v5) | ~ (in(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : (ordered_pair(v0, v1) = v7 & relation(v2) = v6 & in(v7, v2) = v8 & ( ~ (v8 = 0) | ~ (v6 = 0))))
% 136.46/74.37 | (648) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_dom(v3) = v4) | ~ (relation_dom_restriction(v2, v1) = v3) | ~ (in(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (relation_dom(v2) = v8 & relation(v2) = v6 & in(v0, v8) = v9 & in(v0, v1) = v7 & ( ~ (v6 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v9 = 0 & v7 = 0))))))
% 136.46/74.37 | (649) epsilon_connected(empty_set) = 0
% 136.46/74.37 | (650) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (set_intersection2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v6 = 0 & v4 = 0))))
% 136.46/74.37 | (651) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (subset(v0, v1) = 0) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = 0) | ? [v5] : ((v5 = 0 & in(v4, v1) = 0) | ( ~ (v5 = 0) & relation(v1) = v5)))
% 136.46/74.37 | (652) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (relation(v1) = 0) | ~ (empty(v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & v9 = v3 & v8 = 0 & v7 = v3 & v6 = 0 & ~ (v5 = v4) & in(v5, v3) = 0 & in(v4, v3) = 0 & in(v3, v0) = 0 & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (ordered_pair(v5, v11) = v12) | ~ (in(v12, v1) = v13) | ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (ordered_pair(v4, v11) = v12) | ~ (in(v12, v1) = v13) | ? [v14] : ( ~ (v14 = 0) & in(v11, v3) = v14))) | (v5 = 0 & v4 = 0 & relation(v3) = 0 & function(v3) = 0 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (ordered_pair(v11, v12) = v13) | ~ (in(v13, v3) = v14) | ~ (in(v12, v11) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v16 = 0 & ~ (v18 = 0) & ordered_pair(v12, v15) = v17 & in(v17, v1) = v18 & in(v15, v11) = 0) | ( ~ (v15 = 0) & in(v11, v0) = v15))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (ordered_pair(v11, v12) = v13) | ~ (in(v13, v3) = 0) | in(v11, v0) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (ordered_pair(v11, v12) = v13) | ~ (in(v13, v3) = 0) | (in(v12, v11) = 0 & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (ordered_pair(v12, v14) = v15) | ~ (in(v15, v1) = v16) | ? [v17] : ( ~ (v17 = 0) & in(v14, v11) = v17)))))))
% 136.46/74.38 | (653) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (element(v1, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (empty_carrier(v0) = v4 & join_commutative(v0) = v5 & join_semilatt_str(v0) = v6 & join_commut(v0, v2, v1) = v8 & join_commut(v0, v1, v2) = v7 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = v7 | v4 = 0)))
% 136.46/74.38 | (654) ! [v0] : ! [v1] : ( ~ (is_well_founded_in(v0, v1) = 0) | ~ (relation(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (well_orders(v0, v1) = v6 & is_reflexive_in(v0, v1) = v2 & is_transitive_in(v0, v1) = v3 & is_connected_in(v0, v1) = v5 & is_antisymmetric_in(v0, v1) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v6 = 0)))
% 136.46/74.38 | (655) ! [v0] : ! [v1] : (v1 = 0 | ~ (one_sorted_str(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & meet_semilatt_str(v0) = v2))
% 136.46/74.38 | (656) ! [v0] : ! [v1] : ( ~ (well_founded_relation(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) | ! [v6] : (v6 = empty_set | ~ (subset(v6, v3) = 0) | ? [v7] : ? [v8] : (disjoint(v8, v6) = 0 & fiber(v0, v7) = v8 & in(v7, v6) = 0))) & (v1 = 0 | (v5 = 0 & ~ (v4 = empty_set) & subset(v4, v3) = 0 & ! [v6] : ! [v7] : ( ~ (disjoint(v7, v4) = 0) | ~ (fiber(v0, v6) = v7) | ? [v8] : ( ~ (v8 = 0) & in(v6, v4) = v8))))))))
% 136.46/74.38 | (657) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2)
% 136.46/74.38 | (658) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (union(v2) = v1) | ~ (union(v2) = v0))
% 136.46/74.38 | (659) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (succ(v0) = v2) | ~ (powerset(v3) = v4) | ~ (powerset(v2) = v3) | ~ (element(v1, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (singleton(v0) = v7 & powerset(v0) = v6 & ordinal(v0) = v5 & ( ~ (v5 = 0) | ( ! [v9] : ! [v10] : (v10 = 0 | ~ (in(v9, v6) = v10) | ? [v11] : ( ~ (v11 = 0) & in(v9, v8) = v11)) & ! [v9] : ! [v10] : ( ~ (set_difference(v10, v7) = v9) | ~ (in(v9, v6) = 0) | ? [v11] : ((v11 = 0 & in(v9, v8) = 0) | ( ~ (v11 = 0) & in(v10, v1) = v11))) & ! [v9] : ! [v10] : ( ~ (in(v9, v6) = v10) | ? [v11] : ? [v12] : ? [v13] : ((v13 = v9 & v12 = 0 & set_difference(v11, v7) = v9 & in(v11, v1) = 0) | ( ~ (v11 = 0) & in(v9, v8) = v11)))))))
% 136.46/74.38 | (660) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (set_difference(v1, v2) = v4) | ~ (set_difference(v0, v2) = v3) | ~ (subset(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & subset(v0, v1) = v6))
% 136.46/74.38 | (661) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | antisymmetric(v1) = 0)
% 136.46/74.38 | (662) ~ (all_0_52_52 = 0)
% 136.46/74.38 | (663) ! [v0] : ! [v1] : ! [v2] : ( ~ (element(v1, v0) = v2) | ? [v3] : ? [v4] : (empty(v0) = v3 & in(v1, v0) = v4 & (v3 = 0 | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 136.46/74.38 | (664) epsilon_connected(all_0_15_15) = 0
% 136.46/74.38 | (665) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = 0 | ~ (cartesian_product2(v0, v3) = v4) | ~ (relation(v1) = 0) | ~ (empty(v0) = v2) | ? [v5] : ( ! [v6] : ! [v7] : ! [v8] : ( ~ (ordered_pair(v7, v8) = v6) | ~ (in(v8, v7) = 0) | ~ (in(v6, v4) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v10 = 0 & ~ (v12 = 0) & ordered_pair(v8, v9) = v11 & in(v11, v1) = v12 & in(v9, v7) = 0) | (v9 = 0 & in(v6, v5) = 0) | ( ~ (v9 = 0) & in(v7, v0) = v9))) & ! [v6] : ! [v7] : (v7 = 0 | ~ (in(v6, v4) = v7) | ? [v8] : ( ~ (v8 = 0) & in(v6, v5) = v8)) & ! [v6] : ! [v7] : ( ~ (in(v6, v4) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = 0 & v12 = v8 & v11 = 0 & v10 = v6 & ordered_pair(v8, v9) = v6 & in(v9, v8) = 0 & in(v8, v0) = 0 & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (ordered_pair(v9, v14) = v15) | ~ (in(v15, v1) = v16) | ? [v17] : ( ~ (v17 = 0) & in(v14, v8) = v17))) | ( ~ (v8 = 0) & in(v6, v5) = v8)))))
% 136.46/74.38 | (666) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (in(v0, v1) = v2))
% 136.46/74.38 | (667) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2)
% 136.46/74.38 | (668) ? [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))
% 136.46/74.38 | (669) one_sorted_str(all_0_1_1) = 0
% 136.46/74.38 | (670) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ordered_pair(v0, v1) = v3) | ~ (in(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (relation_dom(v2) = v7 & apply(v2, v0) = v9 & relation(v2) = v5 & function(v2) = v6 & in(v0, v7) = v8 & ( ~ (v6 = 0) | ~ (v5 = 0) | (( ~ (v9 = v1) | ~ (v8 = 0) | v4 = 0) & ( ~ (v4 = 0) | (v9 = v1 & v8 = 0))))))
% 136.46/74.38 | (671) epsilon_connected(all_0_5_5) = 0
% 136.46/74.38 | (672) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (ordered_pair(v1, v3) = v5) | ~ (ordered_pair(v1, v2) = v4) | ~ (function(v0) = 0) | ~ (in(v5, v0) = 0) | ~ (in(v4, v0) = 0))
% 136.46/74.38 |
% 136.46/74.39 | Instantiating formula (547) with all_0_49_49 and discharging atoms join_semilatt_str(all_0_49_49) = 0, yields:
% 136.46/74.39 | (673) ? [v0] : ? [v1] : (the_carrier(all_0_49_49) = v1 & empty_carrier(all_0_49_49) = v0 & (v0 = 0 | ! [v2] : ! [v3] : ( ~ (element(v3, v1) = 0) | ~ (element(v2, v1) = 0) | ? [v4] : ? [v5] : (below(all_0_49_49, v2, v3) = v4 & join(all_0_49_49, v2, v3) = v5 & ( ~ (v5 = v3) | v4 = 0) & ( ~ (v4 = 0) | v5 = v3)))))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (565) with all_0_47_47, all_0_45_45, all_0_45_45, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_45_45, all_0_47_47) = 0, yields:
% 136.46/74.39 | (674) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (meet(all_0_49_49, all_0_45_45, all_0_45_45) = v4 & meet_commutative(all_0_49_49) = v1 & meet_semilatt_str(all_0_49_49) = v2 & meet_commut(all_0_49_49, all_0_45_45, all_0_45_45) = v3 & empty_carrier(all_0_49_49) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (77) with all_0_47_47, all_0_45_45, all_0_45_45, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_45_45, all_0_47_47) = 0, yields:
% 136.46/74.39 | (675) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (join(all_0_49_49, all_0_45_45, all_0_45_45) = v4 & empty_carrier(all_0_49_49) = v0 & join_commutative(all_0_49_49) = v1 & join_semilatt_str(all_0_49_49) = v2 & join_commut(all_0_49_49, all_0_45_45, all_0_45_45) = v3 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (505) with all_0_47_47, all_0_45_45, all_0_45_45, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_45_45, all_0_47_47) = 0, yields:
% 136.46/74.39 | (676) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (meet_commutative(all_0_49_49) = v1 & meet_semilatt_str(all_0_49_49) = v2 & meet_commut(all_0_49_49, all_0_45_45, all_0_45_45) = v4 & meet_commut(all_0_49_49, all_0_45_45, all_0_45_45) = v3 & empty_carrier(all_0_49_49) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (653) with all_0_47_47, all_0_45_45, all_0_45_45, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_45_45, all_0_47_47) = 0, yields:
% 136.46/74.39 | (677) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (empty_carrier(all_0_49_49) = v0 & join_commutative(all_0_49_49) = v1 & join_semilatt_str(all_0_49_49) = v2 & join_commut(all_0_49_49, all_0_45_45, all_0_45_45) = v4 & join_commut(all_0_49_49, all_0_45_45, all_0_45_45) = v3 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (565) with all_0_47_47, all_0_46_46, all_0_45_45, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_45_45, all_0_47_47) = 0, element(all_0_46_46, all_0_47_47) = 0, yields:
% 136.46/74.39 | (678) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (meet(all_0_49_49, all_0_45_45, all_0_46_46) = v4 & meet_commutative(all_0_49_49) = v1 & meet_semilatt_str(all_0_49_49) = v2 & meet_commut(all_0_49_49, all_0_45_45, all_0_46_46) = v3 & empty_carrier(all_0_49_49) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (565) with all_0_47_47, all_0_45_45, all_0_46_46, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_45_45, all_0_47_47) = 0, element(all_0_46_46, all_0_47_47) = 0, yields:
% 136.46/74.39 | (679) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (meet(all_0_49_49, all_0_46_46, all_0_45_45) = v4 & meet_commutative(all_0_49_49) = v1 & meet_semilatt_str(all_0_49_49) = v2 & meet_commut(all_0_49_49, all_0_46_46, all_0_45_45) = v3 & empty_carrier(all_0_49_49) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (77) with all_0_47_47, all_0_46_46, all_0_45_45, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_45_45, all_0_47_47) = 0, element(all_0_46_46, all_0_47_47) = 0, yields:
% 136.46/74.39 | (680) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (join(all_0_49_49, all_0_45_45, all_0_46_46) = v4 & empty_carrier(all_0_49_49) = v0 & join_commutative(all_0_49_49) = v1 & join_semilatt_str(all_0_49_49) = v2 & join_commut(all_0_49_49, all_0_45_45, all_0_46_46) = v3 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (77) with all_0_47_47, all_0_45_45, all_0_46_46, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_45_45, all_0_47_47) = 0, element(all_0_46_46, all_0_47_47) = 0, yields:
% 136.46/74.39 | (681) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (join(all_0_49_49, all_0_46_46, all_0_45_45) = v4 & empty_carrier(all_0_49_49) = v0 & join_commutative(all_0_49_49) = v1 & join_semilatt_str(all_0_49_49) = v2 & join_commut(all_0_49_49, all_0_46_46, all_0_45_45) = v3 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (505) with all_0_47_47, all_0_46_46, all_0_45_45, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_45_45, all_0_47_47) = 0, element(all_0_46_46, all_0_47_47) = 0, yields:
% 136.46/74.39 | (682) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (meet_commutative(all_0_49_49) = v1 & meet_semilatt_str(all_0_49_49) = v2 & meet_commut(all_0_49_49, all_0_45_45, all_0_46_46) = v3 & meet_commut(all_0_49_49, all_0_46_46, all_0_45_45) = v4 & empty_carrier(all_0_49_49) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (505) with all_0_47_47, all_0_45_45, all_0_46_46, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_45_45, all_0_47_47) = 0, element(all_0_46_46, all_0_47_47) = 0, yields:
% 136.46/74.39 | (683) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (meet_commutative(all_0_49_49) = v1 & meet_semilatt_str(all_0_49_49) = v2 & meet_commut(all_0_49_49, all_0_45_45, all_0_46_46) = v4 & meet_commut(all_0_49_49, all_0_46_46, all_0_45_45) = v3 & empty_carrier(all_0_49_49) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (653) with all_0_47_47, all_0_46_46, all_0_45_45, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_45_45, all_0_47_47) = 0, element(all_0_46_46, all_0_47_47) = 0, yields:
% 136.46/74.39 | (684) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (empty_carrier(all_0_49_49) = v0 & join_commutative(all_0_49_49) = v1 & join_semilatt_str(all_0_49_49) = v2 & join_commut(all_0_49_49, all_0_45_45, all_0_46_46) = v3 & join_commut(all_0_49_49, all_0_46_46, all_0_45_45) = v4 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (653) with all_0_47_47, all_0_45_45, all_0_46_46, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_45_45, all_0_47_47) = 0, element(all_0_46_46, all_0_47_47) = 0, yields:
% 136.46/74.39 | (685) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (empty_carrier(all_0_49_49) = v0 & join_commutative(all_0_49_49) = v1 & join_semilatt_str(all_0_49_49) = v2 & join_commut(all_0_49_49, all_0_45_45, all_0_46_46) = v4 & join_commut(all_0_49_49, all_0_46_46, all_0_45_45) = v3 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (565) with all_0_47_47, all_0_46_46, all_0_46_46, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_46_46, all_0_47_47) = 0, yields:
% 136.46/74.39 | (686) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (meet(all_0_49_49, all_0_46_46, all_0_46_46) = v4 & meet_commutative(all_0_49_49) = v1 & meet_semilatt_str(all_0_49_49) = v2 & meet_commut(all_0_49_49, all_0_46_46, all_0_46_46) = v3 & empty_carrier(all_0_49_49) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.39 |
% 136.46/74.39 | Instantiating formula (77) with all_0_47_47, all_0_46_46, all_0_46_46, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_46_46, all_0_47_47) = 0, yields:
% 136.46/74.39 | (687) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (join(all_0_49_49, all_0_46_46, all_0_46_46) = v4 & empty_carrier(all_0_49_49) = v0 & join_commutative(all_0_49_49) = v1 & join_semilatt_str(all_0_49_49) = v2 & join_commut(all_0_49_49, all_0_46_46, all_0_46_46) = v3 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.40 |
% 136.46/74.40 | Instantiating formula (505) with all_0_47_47, all_0_46_46, all_0_46_46, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_46_46, all_0_47_47) = 0, yields:
% 136.46/74.40 | (688) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (meet_commutative(all_0_49_49) = v1 & meet_semilatt_str(all_0_49_49) = v2 & meet_commut(all_0_49_49, all_0_46_46, all_0_46_46) = v4 & meet_commut(all_0_49_49, all_0_46_46, all_0_46_46) = v3 & empty_carrier(all_0_49_49) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.40 |
% 136.46/74.40 | Instantiating formula (653) with all_0_47_47, all_0_46_46, all_0_46_46, all_0_49_49 and discharging atoms the_carrier(all_0_49_49) = all_0_47_47, element(all_0_46_46, all_0_47_47) = 0, yields:
% 136.46/74.40 | (689) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (empty_carrier(all_0_49_49) = v0 & join_commutative(all_0_49_49) = v1 & join_semilatt_str(all_0_49_49) = v2 & join_commut(all_0_49_49, all_0_46_46, all_0_46_46) = v4 & join_commut(all_0_49_49, all_0_46_46, all_0_46_46) = v3 & ( ~ (v2 = 0) | ~ (v1 = 0) | v4 = v3 | v0 = 0))
% 136.46/74.40 |
% 136.46/74.40 | Instantiating (673) with all_264_0_322, all_264_1_323 yields:
% 136.46/74.40 | (690) the_carrier(all_0_49_49) = all_264_0_322 & empty_carrier(all_0_49_49) = all_264_1_323 & (all_264_1_323 = 0 | ! [v0] : ! [v1] : ( ~ (element(v1, all_264_0_322) = 0) | ~ (element(v0, all_264_0_322) = 0) | ? [v2] : ? [v3] : (below(all_0_49_49, v0, v1) = v2 & join(all_0_49_49, v0, v1) = v3 & ( ~ (v3 = v1) | v2 = 0) & ( ~ (v2 = 0) | v3 = v1))))
% 136.46/74.40 |
% 136.46/74.40 | Applying alpha-rule on (690) yields:
% 136.46/74.40 | (691) the_carrier(all_0_49_49) = all_264_0_322
% 136.46/74.40 | (692) empty_carrier(all_0_49_49) = all_264_1_323
% 136.46/74.40 | (693) all_264_1_323 = 0 | ! [v0] : ! [v1] : ( ~ (element(v1, all_264_0_322) = 0) | ~ (element(v0, all_264_0_322) = 0) | ? [v2] : ? [v3] : (below(all_0_49_49, v0, v1) = v2 & join(all_0_49_49, v0, v1) = v3 & ( ~ (v3 = v1) | v2 = 0) & ( ~ (v2 = 0) | v3 = v1)))
% 136.46/74.40 |
% 136.46/74.40 | Instantiating (677) with all_372_0_487, all_372_1_488, all_372_2_489, all_372_3_490, all_372_4_491 yields:
% 136.46/74.40 | (694) empty_carrier(all_0_49_49) = all_372_4_491 & join_commutative(all_0_49_49) = all_372_3_490 & join_semilatt_str(all_0_49_49) = all_372_2_489 & join_commut(all_0_49_49, all_0_45_45, all_0_45_45) = all_372_0_487 & join_commut(all_0_49_49, all_0_45_45, all_0_45_45) = all_372_1_488 & ( ~ (all_372_2_489 = 0) | ~ (all_372_3_490 = 0) | all_372_0_487 = all_372_1_488 | all_372_4_491 = 0)
% 136.46/74.40 |
% 136.46/74.40 | Applying alpha-rule on (694) yields:
% 136.46/74.40 | (695) ~ (all_372_2_489 = 0) | ~ (all_372_3_490 = 0) | all_372_0_487 = all_372_1_488 | all_372_4_491 = 0
% 136.46/74.40 | (696) empty_carrier(all_0_49_49) = all_372_4_491
% 136.46/74.40 | (697) join_commutative(all_0_49_49) = all_372_3_490
% 136.46/74.40 | (698) join_commut(all_0_49_49, all_0_45_45, all_0_45_45) = all_372_1_488
% 136.46/74.40 | (699) join_semilatt_str(all_0_49_49) = all_372_2_489
% 136.46/74.40 | (700) join_commut(all_0_49_49, all_0_45_45, all_0_45_45) = all_372_0_487
% 136.46/74.40 |
% 136.46/74.40 | Instantiating (674) with all_374_0_492, all_374_1_493, all_374_2_494, all_374_3_495, all_374_4_496 yields:
% 136.46/74.40 | (701) meet(all_0_49_49, all_0_45_45, all_0_45_45) = all_374_0_492 & meet_commutative(all_0_49_49) = all_374_3_495 & meet_semilatt_str(all_0_49_49) = all_374_2_494 & meet_commut(all_0_49_49, all_0_45_45, all_0_45_45) = all_374_1_493 & empty_carrier(all_0_49_49) = all_374_4_496 & ( ~ (all_374_2_494 = 0) | ~ (all_374_3_495 = 0) | all_374_0_492 = all_374_1_493 | all_374_4_496 = 0)
% 136.46/74.40 |
% 136.46/74.40 | Applying alpha-rule on (701) yields:
% 136.46/74.40 | (702) meet_commutative(all_0_49_49) = all_374_3_495
% 136.46/74.40 | (703) meet_semilatt_str(all_0_49_49) = all_374_2_494
% 136.46/74.40 | (704) meet(all_0_49_49, all_0_45_45, all_0_45_45) = all_374_0_492
% 136.46/74.40 | (705) meet_commut(all_0_49_49, all_0_45_45, all_0_45_45) = all_374_1_493
% 136.46/74.40 | (706) empty_carrier(all_0_49_49) = all_374_4_496
% 136.46/74.40 | (707) ~ (all_374_2_494 = 0) | ~ (all_374_3_495 = 0) | all_374_0_492 = all_374_1_493 | all_374_4_496 = 0
% 136.46/74.40 |
% 136.46/74.40 | Instantiating (689) with all_457_0_612, all_457_1_613, all_457_2_614, all_457_3_615, all_457_4_616 yields:
% 136.46/74.40 | (708) empty_carrier(all_0_49_49) = all_457_4_616 & join_commutative(all_0_49_49) = all_457_3_615 & join_semilatt_str(all_0_49_49) = all_457_2_614 & join_commut(all_0_49_49, all_0_46_46, all_0_46_46) = all_457_0_612 & join_commut(all_0_49_49, all_0_46_46, all_0_46_46) = all_457_1_613 & ( ~ (all_457_2_614 = 0) | ~ (all_457_3_615 = 0) | all_457_0_612 = all_457_1_613 | all_457_4_616 = 0)
% 136.46/74.40 |
% 136.46/74.40 | Applying alpha-rule on (708) yields:
% 136.46/74.40 | (709) ~ (all_457_2_614 = 0) | ~ (all_457_3_615 = 0) | all_457_0_612 = all_457_1_613 | all_457_4_616 = 0
% 136.46/74.40 | (710) empty_carrier(all_0_49_49) = all_457_4_616
% 136.46/74.40 | (711) join_commutative(all_0_49_49) = all_457_3_615
% 136.46/74.40 | (712) join_commut(all_0_49_49, all_0_46_46, all_0_46_46) = all_457_0_612
% 136.46/74.40 | (713) join_commut(all_0_49_49, all_0_46_46, all_0_46_46) = all_457_1_613
% 136.46/74.40 | (714) join_semilatt_str(all_0_49_49) = all_457_2_614
% 136.46/74.40 |
% 136.46/74.40 | Instantiating (686) with all_459_0_617, all_459_1_618, all_459_2_619, all_459_3_620, all_459_4_621 yields:
% 136.46/74.40 | (715) meet(all_0_49_49, all_0_46_46, all_0_46_46) = all_459_0_617 & meet_commutative(all_0_49_49) = all_459_3_620 & meet_semilatt_str(all_0_49_49) = all_459_2_619 & meet_commut(all_0_49_49, all_0_46_46, all_0_46_46) = all_459_1_618 & empty_carrier(all_0_49_49) = all_459_4_621 & ( ~ (all_459_2_619 = 0) | ~ (all_459_3_620 = 0) | all_459_0_617 = all_459_1_618 | all_459_4_621 = 0)
% 136.46/74.40 |
% 136.46/74.40 | Applying alpha-rule on (715) yields:
% 136.46/74.40 | (716) empty_carrier(all_0_49_49) = all_459_4_621
% 136.46/74.40 | (717) meet(all_0_49_49, all_0_46_46, all_0_46_46) = all_459_0_617
% 136.46/74.40 | (718) meet_semilatt_str(all_0_49_49) = all_459_2_619
% 136.46/74.40 | (719) ~ (all_459_2_619 = 0) | ~ (all_459_3_620 = 0) | all_459_0_617 = all_459_1_618 | all_459_4_621 = 0
% 136.46/74.40 | (720) meet_commut(all_0_49_49, all_0_46_46, all_0_46_46) = all_459_1_618
% 136.46/74.40 | (721) meet_commutative(all_0_49_49) = all_459_3_620
% 136.46/74.40 |
% 136.46/74.40 | Instantiating (685) with all_461_0_622, all_461_1_623, all_461_2_624, all_461_3_625, all_461_4_626 yields:
% 136.46/74.40 | (722) empty_carrier(all_0_49_49) = all_461_4_626 & join_commutative(all_0_49_49) = all_461_3_625 & join_semilatt_str(all_0_49_49) = all_461_2_624 & join_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_461_0_622 & join_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_461_1_623 & ( ~ (all_461_2_624 = 0) | ~ (all_461_3_625 = 0) | all_461_0_622 = all_461_1_623 | all_461_4_626 = 0)
% 136.46/74.40 |
% 136.46/74.40 | Applying alpha-rule on (722) yields:
% 136.46/74.40 | (723) ~ (all_461_2_624 = 0) | ~ (all_461_3_625 = 0) | all_461_0_622 = all_461_1_623 | all_461_4_626 = 0
% 136.46/74.40 | (724) join_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_461_0_622
% 136.46/74.40 | (725) join_commutative(all_0_49_49) = all_461_3_625
% 136.46/74.40 | (726) empty_carrier(all_0_49_49) = all_461_4_626
% 136.46/74.40 | (727) join_semilatt_str(all_0_49_49) = all_461_2_624
% 136.46/74.40 | (728) join_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_461_1_623
% 136.46/74.40 |
% 136.46/74.40 | Instantiating (684) with all_463_0_627, all_463_1_628, all_463_2_629, all_463_3_630, all_463_4_631 yields:
% 136.46/74.40 | (729) empty_carrier(all_0_49_49) = all_463_4_631 & join_commutative(all_0_49_49) = all_463_3_630 & join_semilatt_str(all_0_49_49) = all_463_2_629 & join_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_463_1_628 & join_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_463_0_627 & ( ~ (all_463_2_629 = 0) | ~ (all_463_3_630 = 0) | all_463_0_627 = all_463_1_628 | all_463_4_631 = 0)
% 136.46/74.40 |
% 136.46/74.40 | Applying alpha-rule on (729) yields:
% 136.46/74.40 | (730) join_semilatt_str(all_0_49_49) = all_463_2_629
% 136.46/74.40 | (731) join_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_463_0_627
% 136.46/74.40 | (732) empty_carrier(all_0_49_49) = all_463_4_631
% 136.46/74.40 | (733) join_commutative(all_0_49_49) = all_463_3_630
% 136.46/74.40 | (734) join_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_463_1_628
% 136.46/74.40 | (735) ~ (all_463_2_629 = 0) | ~ (all_463_3_630 = 0) | all_463_0_627 = all_463_1_628 | all_463_4_631 = 0
% 136.46/74.40 |
% 136.46/74.40 | Instantiating (683) with all_465_0_632, all_465_1_633, all_465_2_634, all_465_3_635, all_465_4_636 yields:
% 136.46/74.40 | (736) meet_commutative(all_0_49_49) = all_465_3_635 & meet_semilatt_str(all_0_49_49) = all_465_2_634 & meet_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_465_0_632 & meet_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_465_1_633 & empty_carrier(all_0_49_49) = all_465_4_636 & ( ~ (all_465_2_634 = 0) | ~ (all_465_3_635 = 0) | all_465_0_632 = all_465_1_633 | all_465_4_636 = 0)
% 136.46/74.40 |
% 136.46/74.40 | Applying alpha-rule on (736) yields:
% 136.46/74.40 | (737) meet_commutative(all_0_49_49) = all_465_3_635
% 136.46/74.40 | (738) empty_carrier(all_0_49_49) = all_465_4_636
% 136.46/74.40 | (739) meet_semilatt_str(all_0_49_49) = all_465_2_634
% 136.46/74.40 | (740) meet_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_465_1_633
% 136.46/74.40 | (741) meet_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_465_0_632
% 136.46/74.40 | (742) ~ (all_465_2_634 = 0) | ~ (all_465_3_635 = 0) | all_465_0_632 = all_465_1_633 | all_465_4_636 = 0
% 136.46/74.40 |
% 136.46/74.40 | Instantiating (676) with all_485_0_661, all_485_1_662, all_485_2_663, all_485_3_664, all_485_4_665 yields:
% 136.46/74.40 | (743) meet_commutative(all_0_49_49) = all_485_3_664 & meet_semilatt_str(all_0_49_49) = all_485_2_663 & meet_commut(all_0_49_49, all_0_45_45, all_0_45_45) = all_485_0_661 & meet_commut(all_0_49_49, all_0_45_45, all_0_45_45) = all_485_1_662 & empty_carrier(all_0_49_49) = all_485_4_665 & ( ~ (all_485_2_663 = 0) | ~ (all_485_3_664 = 0) | all_485_0_661 = all_485_1_662 | all_485_4_665 = 0)
% 136.46/74.41 |
% 136.46/74.41 | Applying alpha-rule on (743) yields:
% 136.46/74.41 | (744) meet_commutative(all_0_49_49) = all_485_3_664
% 136.46/74.41 | (745) meet_commut(all_0_49_49, all_0_45_45, all_0_45_45) = all_485_1_662
% 136.46/74.41 | (746) meet_semilatt_str(all_0_49_49) = all_485_2_663
% 136.46/74.41 | (747) ~ (all_485_2_663 = 0) | ~ (all_485_3_664 = 0) | all_485_0_661 = all_485_1_662 | all_485_4_665 = 0
% 136.46/74.41 | (748) empty_carrier(all_0_49_49) = all_485_4_665
% 136.46/74.41 | (749) meet_commut(all_0_49_49, all_0_45_45, all_0_45_45) = all_485_0_661
% 136.46/74.41 |
% 136.46/74.41 | Instantiating (675) with all_487_0_666, all_487_1_667, all_487_2_668, all_487_3_669, all_487_4_670 yields:
% 136.46/74.41 | (750) join(all_0_49_49, all_0_45_45, all_0_45_45) = all_487_0_666 & empty_carrier(all_0_49_49) = all_487_4_670 & join_commutative(all_0_49_49) = all_487_3_669 & join_semilatt_str(all_0_49_49) = all_487_2_668 & join_commut(all_0_49_49, all_0_45_45, all_0_45_45) = all_487_1_667 & ( ~ (all_487_2_668 = 0) | ~ (all_487_3_669 = 0) | all_487_0_666 = all_487_1_667 | all_487_4_670 = 0)
% 136.46/74.41 |
% 136.46/74.41 | Applying alpha-rule on (750) yields:
% 136.46/74.41 | (751) join(all_0_49_49, all_0_45_45, all_0_45_45) = all_487_0_666
% 136.46/74.41 | (752) join_commut(all_0_49_49, all_0_45_45, all_0_45_45) = all_487_1_667
% 136.46/74.41 | (753) join_commutative(all_0_49_49) = all_487_3_669
% 136.46/74.41 | (754) empty_carrier(all_0_49_49) = all_487_4_670
% 136.46/74.41 | (755) ~ (all_487_2_668 = 0) | ~ (all_487_3_669 = 0) | all_487_0_666 = all_487_1_667 | all_487_4_670 = 0
% 136.46/74.41 | (756) join_semilatt_str(all_0_49_49) = all_487_2_668
% 136.46/74.41 |
% 136.46/74.41 | Instantiating (688) with all_489_0_671, all_489_1_672, all_489_2_673, all_489_3_674, all_489_4_675 yields:
% 136.46/74.41 | (757) meet_commutative(all_0_49_49) = all_489_3_674 & meet_semilatt_str(all_0_49_49) = all_489_2_673 & meet_commut(all_0_49_49, all_0_46_46, all_0_46_46) = all_489_0_671 & meet_commut(all_0_49_49, all_0_46_46, all_0_46_46) = all_489_1_672 & empty_carrier(all_0_49_49) = all_489_4_675 & ( ~ (all_489_2_673 = 0) | ~ (all_489_3_674 = 0) | all_489_0_671 = all_489_1_672 | all_489_4_675 = 0)
% 136.46/74.41 |
% 136.46/74.41 | Applying alpha-rule on (757) yields:
% 136.46/74.41 | (758) empty_carrier(all_0_49_49) = all_489_4_675
% 136.46/74.41 | (759) meet_commut(all_0_49_49, all_0_46_46, all_0_46_46) = all_489_0_671
% 136.46/74.41 | (760) meet_commut(all_0_49_49, all_0_46_46, all_0_46_46) = all_489_1_672
% 136.46/74.41 | (761) ~ (all_489_2_673 = 0) | ~ (all_489_3_674 = 0) | all_489_0_671 = all_489_1_672 | all_489_4_675 = 0
% 136.46/74.41 | (762) meet_commutative(all_0_49_49) = all_489_3_674
% 136.46/74.41 | (763) meet_semilatt_str(all_0_49_49) = all_489_2_673
% 136.46/74.41 |
% 136.46/74.41 | Instantiating (687) with all_491_0_676, all_491_1_677, all_491_2_678, all_491_3_679, all_491_4_680 yields:
% 136.46/74.41 | (764) join(all_0_49_49, all_0_46_46, all_0_46_46) = all_491_0_676 & empty_carrier(all_0_49_49) = all_491_4_680 & join_commutative(all_0_49_49) = all_491_3_679 & join_semilatt_str(all_0_49_49) = all_491_2_678 & join_commut(all_0_49_49, all_0_46_46, all_0_46_46) = all_491_1_677 & ( ~ (all_491_2_678 = 0) | ~ (all_491_3_679 = 0) | all_491_0_676 = all_491_1_677 | all_491_4_680 = 0)
% 136.46/74.41 |
% 136.46/74.41 | Applying alpha-rule on (764) yields:
% 136.46/74.41 | (765) empty_carrier(all_0_49_49) = all_491_4_680
% 136.46/74.41 | (766) ~ (all_491_2_678 = 0) | ~ (all_491_3_679 = 0) | all_491_0_676 = all_491_1_677 | all_491_4_680 = 0
% 136.46/74.41 | (767) join_semilatt_str(all_0_49_49) = all_491_2_678
% 136.46/74.41 | (768) join_commut(all_0_49_49, all_0_46_46, all_0_46_46) = all_491_1_677
% 136.46/74.41 | (769) join_commutative(all_0_49_49) = all_491_3_679
% 136.46/74.41 | (770) join(all_0_49_49, all_0_46_46, all_0_46_46) = all_491_0_676
% 136.46/74.41 |
% 136.46/74.41 | Instantiating (682) with all_493_0_681, all_493_1_682, all_493_2_683, all_493_3_684, all_493_4_685 yields:
% 136.46/74.41 | (771) meet_commutative(all_0_49_49) = all_493_3_684 & meet_semilatt_str(all_0_49_49) = all_493_2_683 & meet_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_493_1_682 & meet_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_493_0_681 & empty_carrier(all_0_49_49) = all_493_4_685 & ( ~ (all_493_2_683 = 0) | ~ (all_493_3_684 = 0) | all_493_0_681 = all_493_1_682 | all_493_4_685 = 0)
% 136.46/74.41 |
% 136.46/74.41 | Applying alpha-rule on (771) yields:
% 136.46/74.41 | (772) meet_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_493_0_681
% 136.46/74.41 | (773) meet_semilatt_str(all_0_49_49) = all_493_2_683
% 136.46/74.41 | (774) meet_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_493_1_682
% 136.46/74.41 | (775) empty_carrier(all_0_49_49) = all_493_4_685
% 136.46/74.41 | (776) ~ (all_493_2_683 = 0) | ~ (all_493_3_684 = 0) | all_493_0_681 = all_493_1_682 | all_493_4_685 = 0
% 136.46/74.41 | (777) meet_commutative(all_0_49_49) = all_493_3_684
% 136.46/74.41 |
% 136.46/74.41 | Instantiating (681) with all_495_0_686, all_495_1_687, all_495_2_688, all_495_3_689, all_495_4_690 yields:
% 136.46/74.41 | (778) join(all_0_49_49, all_0_46_46, all_0_45_45) = all_495_0_686 & empty_carrier(all_0_49_49) = all_495_4_690 & join_commutative(all_0_49_49) = all_495_3_689 & join_semilatt_str(all_0_49_49) = all_495_2_688 & join_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_495_1_687 & ( ~ (all_495_2_688 = 0) | ~ (all_495_3_689 = 0) | all_495_0_686 = all_495_1_687 | all_495_4_690 = 0)
% 136.46/74.41 |
% 136.46/74.41 | Applying alpha-rule on (778) yields:
% 136.46/74.41 | (779) join_commutative(all_0_49_49) = all_495_3_689
% 136.46/74.41 | (780) empty_carrier(all_0_49_49) = all_495_4_690
% 136.46/74.41 | (781) join_semilatt_str(all_0_49_49) = all_495_2_688
% 136.46/74.41 | (782) join_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_495_1_687
% 136.46/74.41 | (783) join(all_0_49_49, all_0_46_46, all_0_45_45) = all_495_0_686
% 136.46/74.41 | (784) ~ (all_495_2_688 = 0) | ~ (all_495_3_689 = 0) | all_495_0_686 = all_495_1_687 | all_495_4_690 = 0
% 136.46/74.41 |
% 136.46/74.41 | Instantiating (678) with all_497_0_691, all_497_1_692, all_497_2_693, all_497_3_694, all_497_4_695 yields:
% 136.46/74.41 | (785) meet(all_0_49_49, all_0_45_45, all_0_46_46) = all_497_0_691 & meet_commutative(all_0_49_49) = all_497_3_694 & meet_semilatt_str(all_0_49_49) = all_497_2_693 & meet_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_497_1_692 & empty_carrier(all_0_49_49) = all_497_4_695 & ( ~ (all_497_2_693 = 0) | ~ (all_497_3_694 = 0) | all_497_0_691 = all_497_1_692 | all_497_4_695 = 0)
% 136.46/74.41 |
% 136.46/74.41 | Applying alpha-rule on (785) yields:
% 136.46/74.41 | (786) empty_carrier(all_0_49_49) = all_497_4_695
% 136.46/74.41 | (787) meet_commutative(all_0_49_49) = all_497_3_694
% 136.46/74.41 | (788) meet_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_497_1_692
% 136.46/74.41 | (789) meet_semilatt_str(all_0_49_49) = all_497_2_693
% 136.46/74.41 | (790) ~ (all_497_2_693 = 0) | ~ (all_497_3_694 = 0) | all_497_0_691 = all_497_1_692 | all_497_4_695 = 0
% 136.46/74.41 | (791) meet(all_0_49_49, all_0_45_45, all_0_46_46) = all_497_0_691
% 136.46/74.41 |
% 136.46/74.41 | Instantiating (680) with all_499_0_696, all_499_1_697, all_499_2_698, all_499_3_699, all_499_4_700 yields:
% 136.46/74.41 | (792) join(all_0_49_49, all_0_45_45, all_0_46_46) = all_499_0_696 & empty_carrier(all_0_49_49) = all_499_4_700 & join_commutative(all_0_49_49) = all_499_3_699 & join_semilatt_str(all_0_49_49) = all_499_2_698 & join_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_499_1_697 & ( ~ (all_499_2_698 = 0) | ~ (all_499_3_699 = 0) | all_499_0_696 = all_499_1_697 | all_499_4_700 = 0)
% 136.46/74.41 |
% 136.46/74.41 | Applying alpha-rule on (792) yields:
% 136.46/74.41 | (793) join(all_0_49_49, all_0_45_45, all_0_46_46) = all_499_0_696
% 136.46/74.41 | (794) empty_carrier(all_0_49_49) = all_499_4_700
% 136.46/74.41 | (795) join_semilatt_str(all_0_49_49) = all_499_2_698
% 136.46/74.41 | (796) join_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_499_1_697
% 136.46/74.41 | (797) ~ (all_499_2_698 = 0) | ~ (all_499_3_699 = 0) | all_499_0_696 = all_499_1_697 | all_499_4_700 = 0
% 136.46/74.41 | (798) join_commutative(all_0_49_49) = all_499_3_699
% 136.46/74.41 |
% 136.46/74.41 | Instantiating (679) with all_501_0_701, all_501_1_702, all_501_2_703, all_501_3_704, all_501_4_705 yields:
% 136.46/74.41 | (799) meet(all_0_49_49, all_0_46_46, all_0_45_45) = all_501_0_701 & meet_commutative(all_0_49_49) = all_501_3_704 & meet_semilatt_str(all_0_49_49) = all_501_2_703 & meet_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_501_1_702 & empty_carrier(all_0_49_49) = all_501_4_705 & ( ~ (all_501_2_703 = 0) | ~ (all_501_3_704 = 0) | all_501_0_701 = all_501_1_702 | all_501_4_705 = 0)
% 136.46/74.41 |
% 136.46/74.41 | Applying alpha-rule on (799) yields:
% 136.46/74.41 | (800) meet_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_501_1_702
% 136.46/74.41 | (801) meet_semilatt_str(all_0_49_49) = all_501_2_703
% 136.46/74.41 | (802) meet_commutative(all_0_49_49) = all_501_3_704
% 136.46/74.41 | (803) meet(all_0_49_49, all_0_46_46, all_0_45_45) = all_501_0_701
% 136.46/74.41 | (804) ~ (all_501_2_703 = 0) | ~ (all_501_3_704 = 0) | all_501_0_701 = all_501_1_702 | all_501_4_705 = 0
% 136.46/74.41 | (805) empty_carrier(all_0_49_49) = all_501_4_705
% 136.46/74.41 |
% 136.46/74.41 | Instantiating formula (95) with all_0_49_49, all_264_0_322, all_0_47_47 and discharging atoms the_carrier(all_0_49_49) = all_264_0_322, the_carrier(all_0_49_49) = all_0_47_47, yields:
% 136.46/74.41 | (806) all_264_0_322 = all_0_47_47
% 136.46/74.41 |
% 136.46/74.41 | Instantiating formula (393) with all_0_49_49, all_495_4_690, all_497_4_695 and discharging atoms empty_carrier(all_0_49_49) = all_497_4_695, empty_carrier(all_0_49_49) = all_495_4_690, yields:
% 136.46/74.41 | (807) all_497_4_695 = all_495_4_690
% 136.46/74.41 |
% 136.46/74.41 | Instantiating formula (393) with all_0_49_49, all_493_4_685, all_501_4_705 and discharging atoms empty_carrier(all_0_49_49) = all_501_4_705, empty_carrier(all_0_49_49) = all_493_4_685, yields:
% 136.46/74.41 | (808) all_501_4_705 = all_493_4_685
% 136.46/74.41 |
% 136.46/74.41 | Instantiating formula (393) with all_0_49_49, all_491_4_680, all_499_4_700 and discharging atoms empty_carrier(all_0_49_49) = all_499_4_700, empty_carrier(all_0_49_49) = all_491_4_680, yields:
% 136.46/74.41 | (809) all_499_4_700 = all_491_4_680
% 136.46/74.41 |
% 136.46/74.41 | Instantiating formula (393) with all_0_49_49, all_489_4_675, all_499_4_700 and discharging atoms empty_carrier(all_0_49_49) = all_499_4_700, empty_carrier(all_0_49_49) = all_489_4_675, yields:
% 136.46/74.41 | (810) all_499_4_700 = all_489_4_675
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (393) with all_0_49_49, all_487_4_670, all_501_4_705 and discharging atoms empty_carrier(all_0_49_49) = all_501_4_705, empty_carrier(all_0_49_49) = all_487_4_670, yields:
% 136.46/74.42 | (811) all_501_4_705 = all_487_4_670
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (393) with all_0_49_49, all_485_4_665, all_499_4_700 and discharging atoms empty_carrier(all_0_49_49) = all_499_4_700, empty_carrier(all_0_49_49) = all_485_4_665, yields:
% 136.46/74.42 | (812) all_499_4_700 = all_485_4_665
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (393) with all_0_49_49, all_485_4_665, all_493_4_685 and discharging atoms empty_carrier(all_0_49_49) = all_493_4_685, empty_carrier(all_0_49_49) = all_485_4_665, yields:
% 136.46/74.42 | (813) all_493_4_685 = all_485_4_665
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (393) with all_0_49_49, all_465_4_636, all_495_4_690 and discharging atoms empty_carrier(all_0_49_49) = all_495_4_690, empty_carrier(all_0_49_49) = all_465_4_636, yields:
% 136.46/74.42 | (814) all_495_4_690 = all_465_4_636
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (393) with all_0_49_49, all_463_4_631, all_491_4_680 and discharging atoms empty_carrier(all_0_49_49) = all_491_4_680, empty_carrier(all_0_49_49) = all_463_4_631, yields:
% 136.46/74.42 | (815) all_491_4_680 = all_463_4_631
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (393) with all_0_49_49, all_461_4_626, all_485_4_665 and discharging atoms empty_carrier(all_0_49_49) = all_485_4_665, empty_carrier(all_0_49_49) = all_461_4_626, yields:
% 136.46/74.42 | (816) all_485_4_665 = all_461_4_626
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (393) with all_0_49_49, all_459_4_621, all_485_4_665 and discharging atoms empty_carrier(all_0_49_49) = all_485_4_665, empty_carrier(all_0_49_49) = all_459_4_621, yields:
% 136.46/74.42 | (817) all_485_4_665 = all_459_4_621
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (393) with all_0_49_49, all_459_4_621, all_465_4_636 and discharging atoms empty_carrier(all_0_49_49) = all_465_4_636, empty_carrier(all_0_49_49) = all_459_4_621, yields:
% 136.46/74.42 | (818) all_465_4_636 = all_459_4_621
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (393) with all_0_49_49, all_457_4_616, all_493_4_685 and discharging atoms empty_carrier(all_0_49_49) = all_493_4_685, empty_carrier(all_0_49_49) = all_457_4_616, yields:
% 136.46/74.42 | (819) all_493_4_685 = all_457_4_616
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (393) with all_0_49_49, all_374_4_496, all_461_4_626 and discharging atoms empty_carrier(all_0_49_49) = all_461_4_626, empty_carrier(all_0_49_49) = all_374_4_496, yields:
% 136.46/74.42 | (820) all_461_4_626 = all_374_4_496
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (393) with all_0_49_49, all_372_4_491, all_0_48_48 and discharging atoms empty_carrier(all_0_49_49) = all_372_4_491, empty_carrier(all_0_49_49) = all_0_48_48, yields:
% 136.46/74.42 | (821) all_372_4_491 = all_0_48_48
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (393) with all_0_49_49, all_372_4_491, all_461_4_626 and discharging atoms empty_carrier(all_0_49_49) = all_461_4_626, empty_carrier(all_0_49_49) = all_372_4_491, yields:
% 136.46/74.42 | (822) all_461_4_626 = all_372_4_491
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (393) with all_0_49_49, all_264_1_323, all_497_4_695 and discharging atoms empty_carrier(all_0_49_49) = all_497_4_695, empty_carrier(all_0_49_49) = all_264_1_323, yields:
% 136.46/74.42 | (823) all_497_4_695 = all_264_1_323
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (258) with all_0_49_49, all_499_3_699, 0 and discharging atoms join_commutative(all_0_49_49) = all_499_3_699, join_commutative(all_0_49_49) = 0, yields:
% 136.46/74.42 | (824) all_499_3_699 = 0
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (258) with all_0_49_49, all_495_3_689, all_499_3_699 and discharging atoms join_commutative(all_0_49_49) = all_499_3_699, join_commutative(all_0_49_49) = all_495_3_689, yields:
% 136.46/74.42 | (825) all_499_3_699 = all_495_3_689
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (258) with all_0_49_49, all_487_3_669, all_495_3_689 and discharging atoms join_commutative(all_0_49_49) = all_495_3_689, join_commutative(all_0_49_49) = all_487_3_669, yields:
% 136.46/74.42 | (826) all_495_3_689 = all_487_3_669
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (258) with all_0_49_49, all_487_3_669, all_491_3_679 and discharging atoms join_commutative(all_0_49_49) = all_491_3_679, join_commutative(all_0_49_49) = all_487_3_669, yields:
% 136.46/74.42 | (827) all_491_3_679 = all_487_3_669
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (258) with all_0_49_49, all_463_3_630, all_499_3_699 and discharging atoms join_commutative(all_0_49_49) = all_499_3_699, join_commutative(all_0_49_49) = all_463_3_630, yields:
% 136.46/74.42 | (828) all_499_3_699 = all_463_3_630
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (258) with all_0_49_49, all_461_3_625, all_495_3_689 and discharging atoms join_commutative(all_0_49_49) = all_495_3_689, join_commutative(all_0_49_49) = all_461_3_625, yields:
% 136.46/74.42 | (829) all_495_3_689 = all_461_3_625
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (258) with all_0_49_49, all_457_3_615, all_491_3_679 and discharging atoms join_commutative(all_0_49_49) = all_491_3_679, join_commutative(all_0_49_49) = all_457_3_615, yields:
% 136.46/74.42 | (830) all_491_3_679 = all_457_3_615
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (575) with all_0_49_49, all_499_2_698, 0 and discharging atoms join_semilatt_str(all_0_49_49) = all_499_2_698, join_semilatt_str(all_0_49_49) = 0, yields:
% 136.46/74.42 | (831) all_499_2_698 = 0
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (575) with all_0_49_49, all_495_2_688, all_499_2_698 and discharging atoms join_semilatt_str(all_0_49_49) = all_499_2_698, join_semilatt_str(all_0_49_49) = all_495_2_688, yields:
% 136.46/74.42 | (832) all_499_2_698 = all_495_2_688
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (575) with all_0_49_49, all_491_2_678, all_499_2_698 and discharging atoms join_semilatt_str(all_0_49_49) = all_499_2_698, join_semilatt_str(all_0_49_49) = all_491_2_678, yields:
% 136.46/74.42 | (833) all_499_2_698 = all_491_2_678
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (575) with all_0_49_49, all_487_2_668, all_491_2_678 and discharging atoms join_semilatt_str(all_0_49_49) = all_491_2_678, join_semilatt_str(all_0_49_49) = all_487_2_668, yields:
% 136.46/74.42 | (834) all_491_2_678 = all_487_2_668
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (575) with all_0_49_49, all_463_2_629, all_487_2_668 and discharging atoms join_semilatt_str(all_0_49_49) = all_487_2_668, join_semilatt_str(all_0_49_49) = all_463_2_629, yields:
% 136.46/74.42 | (835) all_487_2_668 = all_463_2_629
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (575) with all_0_49_49, all_461_2_624, all_463_2_629 and discharging atoms join_semilatt_str(all_0_49_49) = all_463_2_629, join_semilatt_str(all_0_49_49) = all_461_2_624, yields:
% 136.46/74.42 | (836) all_463_2_629 = all_461_2_624
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (608) with all_0_49_49, all_0_45_45, all_0_46_46, all_463_1_628, all_499_1_697 and discharging atoms join_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_499_1_697, join_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_463_1_628, yields:
% 136.46/74.42 | (837) all_499_1_697 = all_463_1_628
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (608) with all_0_49_49, all_0_45_45, all_0_46_46, all_461_0_622, all_499_1_697 and discharging atoms join_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_499_1_697, join_commut(all_0_49_49, all_0_45_45, all_0_46_46) = all_461_0_622, yields:
% 136.46/74.42 | (838) all_499_1_697 = all_461_0_622
% 136.46/74.42 |
% 136.46/74.42 | Instantiating formula (608) with all_0_49_49, all_0_46_46, all_0_45_45, all_461_1_623, all_495_1_687 and discharging atoms join_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_495_1_687, join_commut(all_0_49_49, all_0_46_46, all_0_45_45) = all_461_1_623, yields:
% 136.46/74.42 | (839) all_495_1_687 = all_461_1_623
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (808,811) yields a new equation:
% 136.46/74.42 | (840) all_493_4_685 = all_487_4_670
% 136.46/74.42 |
% 136.46/74.42 | Simplifying 840 yields:
% 136.46/74.42 | (841) all_493_4_685 = all_487_4_670
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (838,837) yields a new equation:
% 136.46/74.42 | (842) all_463_1_628 = all_461_0_622
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (831,832) yields a new equation:
% 136.46/74.42 | (843) all_495_2_688 = 0
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (833,832) yields a new equation:
% 136.46/74.42 | (844) all_495_2_688 = all_491_2_678
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (825,828) yields a new equation:
% 136.46/74.42 | (845) all_495_3_689 = all_463_3_630
% 136.46/74.42 |
% 136.46/74.42 | Simplifying 845 yields:
% 136.46/74.42 | (846) all_495_3_689 = all_463_3_630
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (824,828) yields a new equation:
% 136.46/74.42 | (847) all_463_3_630 = 0
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (809,810) yields a new equation:
% 136.46/74.42 | (848) all_491_4_680 = all_489_4_675
% 136.46/74.42 |
% 136.46/74.42 | Simplifying 848 yields:
% 136.46/74.42 | (849) all_491_4_680 = all_489_4_675
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (812,810) yields a new equation:
% 136.46/74.42 | (850) all_489_4_675 = all_485_4_665
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (807,823) yields a new equation:
% 136.46/74.42 | (851) all_495_4_690 = all_264_1_323
% 136.46/74.42 |
% 136.46/74.42 | Simplifying 851 yields:
% 136.46/74.42 | (852) all_495_4_690 = all_264_1_323
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (844,843) yields a new equation:
% 136.46/74.42 | (853) all_491_2_678 = 0
% 136.46/74.42 |
% 136.46/74.42 | Simplifying 853 yields:
% 136.46/74.42 | (854) all_491_2_678 = 0
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (826,829) yields a new equation:
% 136.46/74.42 | (855) all_487_3_669 = all_461_3_625
% 136.46/74.42 |
% 136.46/74.42 | Simplifying 855 yields:
% 136.46/74.42 | (856) all_487_3_669 = all_461_3_625
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (846,829) yields a new equation:
% 136.46/74.42 | (857) all_463_3_630 = all_461_3_625
% 136.46/74.42 |
% 136.46/74.42 | Simplifying 857 yields:
% 136.46/74.42 | (858) all_463_3_630 = all_461_3_625
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (814,852) yields a new equation:
% 136.46/74.42 | (859) all_465_4_636 = all_264_1_323
% 136.46/74.42 |
% 136.46/74.42 | Simplifying 859 yields:
% 136.46/74.42 | (860) all_465_4_636 = all_264_1_323
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (813,841) yields a new equation:
% 136.46/74.42 | (861) all_487_4_670 = all_485_4_665
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (819,841) yields a new equation:
% 136.46/74.42 | (862) all_487_4_670 = all_457_4_616
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (834,854) yields a new equation:
% 136.46/74.42 | (863) all_487_2_668 = 0
% 136.46/74.42 |
% 136.46/74.42 | Simplifying 863 yields:
% 136.46/74.42 | (864) all_487_2_668 = 0
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (827,830) yields a new equation:
% 136.46/74.42 | (865) all_487_3_669 = all_457_3_615
% 136.46/74.42 |
% 136.46/74.42 | Simplifying 865 yields:
% 136.46/74.42 | (866) all_487_3_669 = all_457_3_615
% 136.46/74.42 |
% 136.46/74.42 | Combining equations (849,815) yields a new equation:
% 136.46/74.42 | (867) all_489_4_675 = all_463_4_631
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 867 yields:
% 136.46/74.43 | (868) all_489_4_675 = all_463_4_631
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (850,868) yields a new equation:
% 136.46/74.43 | (869) all_485_4_665 = all_463_4_631
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 869 yields:
% 136.46/74.43 | (870) all_485_4_665 = all_463_4_631
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (835,864) yields a new equation:
% 136.46/74.43 | (871) all_463_2_629 = 0
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 871 yields:
% 136.46/74.43 | (872) all_463_2_629 = 0
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (856,866) yields a new equation:
% 136.46/74.43 | (873) all_461_3_625 = all_457_3_615
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 873 yields:
% 136.46/74.43 | (874) all_461_3_625 = all_457_3_615
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (861,862) yields a new equation:
% 136.46/74.43 | (875) all_485_4_665 = all_457_4_616
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 875 yields:
% 136.46/74.43 | (876) all_485_4_665 = all_457_4_616
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (817,870) yields a new equation:
% 136.46/74.43 | (877) all_463_4_631 = all_459_4_621
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (816,870) yields a new equation:
% 136.46/74.43 | (878) all_463_4_631 = all_461_4_626
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (876,870) yields a new equation:
% 136.46/74.43 | (879) all_463_4_631 = all_457_4_616
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (818,860) yields a new equation:
% 136.46/74.43 | (880) all_459_4_621 = all_264_1_323
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 880 yields:
% 136.46/74.43 | (881) all_459_4_621 = all_264_1_323
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (872,836) yields a new equation:
% 136.46/74.43 | (882) all_461_2_624 = 0
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (858,847) yields a new equation:
% 136.46/74.43 | (883) all_461_3_625 = 0
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 883 yields:
% 136.46/74.43 | (884) all_461_3_625 = 0
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (878,879) yields a new equation:
% 136.46/74.43 | (885) all_461_4_626 = all_457_4_616
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 885 yields:
% 136.46/74.43 | (886) all_461_4_626 = all_457_4_616
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (877,879) yields a new equation:
% 136.46/74.43 | (887) all_459_4_621 = all_457_4_616
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 887 yields:
% 136.46/74.43 | (888) all_459_4_621 = all_457_4_616
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (884,874) yields a new equation:
% 136.46/74.43 | (889) all_457_3_615 = 0
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (822,820) yields a new equation:
% 136.46/74.43 | (890) all_374_4_496 = all_372_4_491
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (886,820) yields a new equation:
% 136.46/74.43 | (891) all_457_4_616 = all_374_4_496
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 891 yields:
% 136.46/74.43 | (892) all_457_4_616 = all_374_4_496
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (888,881) yields a new equation:
% 136.46/74.43 | (893) all_457_4_616 = all_264_1_323
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 893 yields:
% 136.46/74.43 | (894) all_457_4_616 = all_264_1_323
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (892,894) yields a new equation:
% 136.46/74.43 | (895) all_374_4_496 = all_264_1_323
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 895 yields:
% 136.46/74.43 | (896) all_374_4_496 = all_264_1_323
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (890,896) yields a new equation:
% 136.46/74.43 | (897) all_372_4_491 = all_264_1_323
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 897 yields:
% 136.46/74.43 | (898) all_372_4_491 = all_264_1_323
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (821,898) yields a new equation:
% 136.46/74.43 | (899) all_264_1_323 = all_0_48_48
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (899,896) yields a new equation:
% 136.46/74.43 | (900) all_374_4_496 = all_0_48_48
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (899,894) yields a new equation:
% 136.46/74.43 | (901) all_457_4_616 = all_0_48_48
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (900,820) yields a new equation:
% 136.46/74.43 | (902) all_461_4_626 = all_0_48_48
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (889,874) yields a new equation:
% 136.46/74.43 | (884) all_461_3_625 = 0
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (901,879) yields a new equation:
% 136.46/74.43 | (904) all_463_4_631 = all_0_48_48
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (901,862) yields a new equation:
% 136.46/74.43 | (905) all_487_4_670 = all_0_48_48
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (889,866) yields a new equation:
% 136.46/74.43 | (906) all_487_3_669 = 0
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (904,868) yields a new equation:
% 136.46/74.43 | (907) all_489_4_675 = all_0_48_48
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (904,815) yields a new equation:
% 136.46/74.43 | (908) all_491_4_680 = all_0_48_48
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (889,830) yields a new equation:
% 136.46/74.43 | (909) all_491_3_679 = 0
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (899,852) yields a new equation:
% 136.46/74.43 | (910) all_495_4_690 = all_0_48_48
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (884,829) yields a new equation:
% 136.46/74.43 | (911) all_495_3_689 = 0
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (907,810) yields a new equation:
% 136.46/74.43 | (912) all_499_4_700 = all_0_48_48
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (847,828) yields a new equation:
% 136.46/74.43 | (824) all_499_3_699 = 0
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (843,832) yields a new equation:
% 136.46/74.43 | (831) all_499_2_698 = 0
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (842,837) yields a new equation:
% 136.46/74.43 | (838) all_499_1_697 = all_461_0_622
% 136.46/74.43 |
% 136.46/74.43 +-Applying beta-rule and splitting (723), into two cases.
% 136.46/74.43 |-Branch one:
% 136.46/74.43 | (916) ~ (all_461_2_624 = 0)
% 136.46/74.43 |
% 136.46/74.43 | Equations (882) can reduce 916 to:
% 136.46/74.43 | (917) $false
% 136.46/74.43 |
% 136.46/74.43 |-The branch is then unsatisfiable
% 136.46/74.43 |-Branch two:
% 136.46/74.43 | (882) all_461_2_624 = 0
% 136.46/74.43 | (919) ~ (all_461_3_625 = 0) | all_461_0_622 = all_461_1_623 | all_461_4_626 = 0
% 136.46/74.43 |
% 136.46/74.43 +-Applying beta-rule and splitting (693), into two cases.
% 136.46/74.43 |-Branch one:
% 136.46/74.43 | (920) all_264_1_323 = 0
% 136.46/74.43 |
% 136.46/74.43 | Combining equations (899,920) yields a new equation:
% 136.46/74.43 | (921) all_0_48_48 = 0
% 136.46/74.43 |
% 136.46/74.43 | Simplifying 921 yields:
% 136.46/74.43 | (922) all_0_48_48 = 0
% 136.46/74.43 |
% 136.46/74.43 | Equations (922) can reduce 235 to:
% 136.46/74.43 | (917) $false
% 136.46/74.43 |
% 136.46/74.43 |-The branch is then unsatisfiable
% 136.46/74.43 |-Branch two:
% 136.46/74.43 | (924) ~ (all_264_1_323 = 0)
% 136.46/74.43 | (925) ! [v0] : ! [v1] : ( ~ (element(v1, all_264_0_322) = 0) | ~ (element(v0, all_264_0_322) = 0) | ? [v2] : ? [v3] : (below(all_0_49_49, v0, v1) = v2 & join(all_0_49_49, v0, v1) = v3 & ( ~ (v3 = v1) | v2 = 0) & ( ~ (v2 = 0) | v3 = v1)))
% 136.46/74.43 |
% 136.46/74.43 | Instantiating formula (925) with all_0_46_46, all_0_45_45 yields:
% 136.46/74.43 | (926) ~ (element(all_0_45_45, all_264_0_322) = 0) | ~ (element(all_0_46_46, all_264_0_322) = 0) | ? [v0] : ? [v1] : (below(all_0_49_49, all_0_45_45, all_0_46_46) = v0 & join(all_0_49_49, all_0_45_45, all_0_46_46) = v1 & ( ~ (v1 = all_0_46_46) | v0 = 0) & ( ~ (v0 = 0) | v1 = all_0_46_46))
% 136.46/74.44 |
% 136.46/74.44 | Instantiating formula (925) with all_0_45_45, all_0_46_46 yields:
% 136.46/74.44 | (927) ~ (element(all_0_45_45, all_264_0_322) = 0) | ~ (element(all_0_46_46, all_264_0_322) = 0) | ? [v0] : ? [v1] : (below(all_0_49_49, all_0_46_46, all_0_45_45) = v0 & join(all_0_49_49, all_0_46_46, all_0_45_45) = v1 & ( ~ (v1 = all_0_45_45) | v0 = 0) & ( ~ (v0 = 0) | v1 = all_0_45_45))
% 136.46/74.44 |
% 136.46/74.44 | Instantiating formula (925) with all_0_46_46, all_0_46_46 yields:
% 136.46/74.44 | (928) ~ (element(all_0_46_46, all_264_0_322) = 0) | ? [v0] : ? [v1] : (below(all_0_49_49, all_0_46_46, all_0_46_46) = v0 & join(all_0_49_49, all_0_46_46, all_0_46_46) = v1 & ( ~ (v1 = all_0_46_46) | v0 = 0) & ( ~ (v0 = 0) | v1 = all_0_46_46))
% 136.46/74.44 |
% 136.46/74.44 | Equations (899) can reduce 924 to:
% 136.46/74.44 | (235) ~ (all_0_48_48 = 0)
% 136.46/74.44 |
% 136.46/74.44 +-Applying beta-rule and splitting (927), into two cases.
% 136.46/74.44 |-Branch one:
% 136.46/74.44 | (930) ~ (element(all_0_45_45, all_264_0_322) = 0)
% 136.46/74.44 |
% 136.46/74.44 | From (806) and (930) follows:
% 136.46/74.44 | (931) ~ (element(all_0_45_45, all_0_47_47) = 0)
% 136.46/74.44 |
% 136.46/74.44 | Using (233) and (931) yields:
% 136.46/74.44 | (932) $false
% 136.46/74.44 |
% 136.46/74.44 |-The branch is then unsatisfiable
% 136.46/74.44 |-Branch two:
% 136.46/74.44 | (933) element(all_0_45_45, all_264_0_322) = 0
% 136.46/74.44 | (934) ~ (element(all_0_46_46, all_264_0_322) = 0) | ? [v0] : ? [v1] : (below(all_0_49_49, all_0_46_46, all_0_45_45) = v0 & join(all_0_49_49, all_0_46_46, all_0_45_45) = v1 & ( ~ (v1 = all_0_45_45) | v0 = 0) & ( ~ (v0 = 0) | v1 = all_0_45_45))
% 136.46/74.44 |
% 136.46/74.44 | From (806) and (933) follows:
% 136.46/74.44 | (233) element(all_0_45_45, all_0_47_47) = 0
% 136.46/74.44 |
% 136.46/74.44 +-Applying beta-rule and splitting (928), into two cases.
% 136.46/74.44 |-Branch one:
% 136.46/74.44 | (936) ~ (element(all_0_46_46, all_264_0_322) = 0)
% 136.46/74.44 |
% 136.46/74.44 | From (806) and (936) follows:
% 136.46/74.44 | (937) ~ (element(all_0_46_46, all_0_47_47) = 0)
% 136.46/74.44 |
% 136.46/74.44 | Using (392) and (937) yields:
% 136.46/74.44 | (932) $false
% 136.46/74.44 |
% 136.46/74.44 |-The branch is then unsatisfiable
% 136.46/74.44 |-Branch two:
% 136.46/74.44 | (939) element(all_0_46_46, all_264_0_322) = 0
% 136.46/74.44 | (940) ? [v0] : ? [v1] : (below(all_0_49_49, all_0_46_46, all_0_46_46) = v0 & join(all_0_49_49, all_0_46_46, all_0_46_46) = v1 & ( ~ (v1 = all_0_46_46) | v0 = 0) & ( ~ (v0 = 0) | v1 = all_0_46_46))
% 136.46/74.44 |
% 136.46/74.44 | From (806) and (939) follows:
% 136.46/74.44 | (392) element(all_0_46_46, all_0_47_47) = 0
% 136.46/74.44 |
% 136.46/74.44 +-Applying beta-rule and splitting (934), into two cases.
% 136.46/74.44 |-Branch one:
% 136.46/74.44 | (936) ~ (element(all_0_46_46, all_264_0_322) = 0)
% 136.46/74.44 |
% 136.46/74.44 | From (806) and (936) follows:
% 136.46/74.44 | (937) ~ (element(all_0_46_46, all_0_47_47) = 0)
% 136.46/74.44 |
% 136.46/74.44 | Using (392) and (937) yields:
% 136.46/74.44 | (932) $false
% 136.46/74.44 |
% 136.46/74.44 |-The branch is then unsatisfiable
% 136.46/74.44 |-Branch two:
% 136.46/74.44 | (939) element(all_0_46_46, all_264_0_322) = 0
% 136.46/74.44 | (946) ? [v0] : ? [v1] : (below(all_0_49_49, all_0_46_46, all_0_45_45) = v0 & join(all_0_49_49, all_0_46_46, all_0_45_45) = v1 & ( ~ (v1 = all_0_45_45) | v0 = 0) & ( ~ (v0 = 0) | v1 = all_0_45_45))
% 136.46/74.44 |
% 136.46/74.44 | Instantiating (946) with all_1510_0_2374, all_1510_1_2375 yields:
% 136.46/74.44 | (947) below(all_0_49_49, all_0_46_46, all_0_45_45) = all_1510_1_2375 & join(all_0_49_49, all_0_46_46, all_0_45_45) = all_1510_0_2374 & ( ~ (all_1510_0_2374 = all_0_45_45) | all_1510_1_2375 = 0) & ( ~ (all_1510_1_2375 = 0) | all_1510_0_2374 = all_0_45_45)
% 136.46/74.44 |
% 136.46/74.44 | Applying alpha-rule on (947) yields:
% 136.46/74.44 | (948) below(all_0_49_49, all_0_46_46, all_0_45_45) = all_1510_1_2375
% 136.46/74.44 | (949) join(all_0_49_49, all_0_46_46, all_0_45_45) = all_1510_0_2374
% 136.84/74.44 | (950) ~ (all_1510_0_2374 = all_0_45_45) | all_1510_1_2375 = 0
% 136.84/74.44 | (951) ~ (all_1510_1_2375 = 0) | all_1510_0_2374 = all_0_45_45
% 136.84/74.44 |
% 136.84/74.44 | From (806) and (939) follows:
% 136.84/74.44 | (392) element(all_0_46_46, all_0_47_47) = 0
% 136.84/74.44 |
% 136.84/74.44 +-Applying beta-rule and splitting (766), into two cases.
% 136.84/74.44 |-Branch one:
% 136.84/74.44 | (953) ~ (all_491_2_678 = 0)
% 136.84/74.44 |
% 136.84/74.44 | Equations (854) can reduce 953 to:
% 136.84/74.44 | (917) $false
% 136.84/74.44 |
% 136.84/74.44 |-The branch is then unsatisfiable
% 136.84/74.44 |-Branch two:
% 136.84/74.44 | (854) all_491_2_678 = 0
% 136.84/74.44 | (956) ~ (all_491_3_679 = 0) | all_491_0_676 = all_491_1_677 | all_491_4_680 = 0
% 136.84/74.44 |
% 136.84/74.44 +-Applying beta-rule and splitting (956), into two cases.
% 136.84/74.44 |-Branch one:
% 136.84/74.44 | (957) ~ (all_491_3_679 = 0)
% 136.84/74.44 |
% 136.84/74.44 | Equations (909) can reduce 957 to:
% 136.84/74.44 | (917) $false
% 136.84/74.44 |
% 136.84/74.44 |-The branch is then unsatisfiable
% 136.84/74.44 |-Branch two:
% 136.84/74.44 | (909) all_491_3_679 = 0
% 136.84/74.44 | (960) all_491_0_676 = all_491_1_677 | all_491_4_680 = 0
% 136.84/74.44 |
% 136.84/74.44 +-Applying beta-rule and splitting (755), into two cases.
% 136.84/74.44 |-Branch one:
% 136.84/74.44 | (961) ~ (all_487_2_668 = 0)
% 136.84/74.44 |
% 136.84/74.44 | Equations (864) can reduce 961 to:
% 136.84/74.44 | (917) $false
% 136.84/74.44 |
% 136.84/74.44 |-The branch is then unsatisfiable
% 136.84/74.44 |-Branch two:
% 136.84/74.44 | (864) all_487_2_668 = 0
% 136.84/74.44 | (964) ~ (all_487_3_669 = 0) | all_487_0_666 = all_487_1_667 | all_487_4_670 = 0
% 136.84/74.44 |
% 136.84/74.44 +-Applying beta-rule and splitting (964), into two cases.
% 136.84/74.44 |-Branch one:
% 136.84/74.44 | (965) ~ (all_487_3_669 = 0)
% 136.84/74.44 |
% 136.84/74.44 | Equations (906) can reduce 965 to:
% 136.84/74.44 | (917) $false
% 136.84/74.44 |
% 136.84/74.44 |-The branch is then unsatisfiable
% 136.84/74.44 |-Branch two:
% 136.84/74.44 | (906) all_487_3_669 = 0
% 136.84/74.44 | (968) all_487_0_666 = all_487_1_667 | all_487_4_670 = 0
% 136.84/74.44 |
% 136.84/74.44 +-Applying beta-rule and splitting (968), into two cases.
% 136.84/74.44 |-Branch one:
% 136.84/74.44 | (969) all_487_4_670 = 0
% 136.84/74.44 |
% 136.84/74.44 | Combining equations (905,969) yields a new equation:
% 136.84/74.44 | (921) all_0_48_48 = 0
% 136.84/74.44 |
% 136.84/74.44 | Simplifying 921 yields:
% 136.84/74.44 | (922) all_0_48_48 = 0
% 136.84/74.45 |
% 136.84/74.45 | Equations (922) can reduce 235 to:
% 136.84/74.45 | (917) $false
% 136.84/74.45 |
% 136.84/74.45 |-The branch is then unsatisfiable
% 136.84/74.45 |-Branch two:
% 136.84/74.45 | (973) ~ (all_487_4_670 = 0)
% 136.84/74.45 | (974) all_487_0_666 = all_487_1_667
% 136.84/74.45 |
% 136.84/74.45 | Equations (905) can reduce 973 to:
% 136.84/74.45 | (235) ~ (all_0_48_48 = 0)
% 136.84/74.45 |
% 136.84/74.45 +-Applying beta-rule and splitting (960), into two cases.
% 136.84/74.45 |-Branch one:
% 136.84/74.45 | (976) all_491_4_680 = 0
% 136.84/74.45 |
% 136.84/74.45 | Combining equations (976,908) yields a new equation:
% 136.84/74.45 | (922) all_0_48_48 = 0
% 136.84/74.45 |
% 136.84/74.45 | Equations (922) can reduce 235 to:
% 136.84/74.45 | (917) $false
% 136.84/74.45 |
% 136.84/74.45 |-The branch is then unsatisfiable
% 136.84/74.45 |-Branch two:
% 136.84/74.45 | (979) ~ (all_491_4_680 = 0)
% 136.84/74.45 | (980) all_491_0_676 = all_491_1_677
% 136.84/74.45 |
% 136.84/74.45 | Equations (908) can reduce 979 to:
% 136.84/74.45 | (235) ~ (all_0_48_48 = 0)
% 136.84/74.45 |
% 136.84/74.45 +-Applying beta-rule and splitting (926), into two cases.
% 136.84/74.45 |-Branch one:
% 136.84/74.45 | (930) ~ (element(all_0_45_45, all_264_0_322) = 0)
% 136.84/74.45 |
% 136.84/74.45 | From (806) and (930) follows:
% 136.84/74.45 | (931) ~ (element(all_0_45_45, all_0_47_47) = 0)
% 136.84/74.45 |
% 136.84/74.45 | Using (233) and (931) yields:
% 136.84/74.45 | (932) $false
% 136.84/74.45 |
% 136.84/74.45 |-The branch is then unsatisfiable
% 136.84/74.45 |-Branch two:
% 136.84/74.45 | (933) element(all_0_45_45, all_264_0_322) = 0
% 136.84/74.45 | (986) ~ (element(all_0_46_46, all_264_0_322) = 0) | ? [v0] : ? [v1] : (below(all_0_49_49, all_0_45_45, all_0_46_46) = v0 & join(all_0_49_49, all_0_45_45, all_0_46_46) = v1 & ( ~ (v1 = all_0_46_46) | v0 = 0) & ( ~ (v0 = 0) | v1 = all_0_46_46))
% 136.84/74.45 |
% 136.84/74.45 +-Applying beta-rule and splitting (797), into two cases.
% 136.84/74.45 |-Branch one:
% 136.84/74.45 | (987) ~ (all_499_2_698 = 0)
% 136.84/74.45 |
% 136.84/74.45 | Equations (831) can reduce 987 to:
% 136.84/74.45 | (917) $false
% 136.84/74.45 |
% 136.84/74.45 |-The branch is then unsatisfiable
% 136.84/74.45 |-Branch two:
% 136.84/74.45 | (831) all_499_2_698 = 0
% 136.84/74.45 | (990) ~ (all_499_3_699 = 0) | all_499_0_696 = all_499_1_697 | all_499_4_700 = 0
% 136.84/74.45 |
% 136.84/74.45 +-Applying beta-rule and splitting (990), into two cases.
% 136.84/74.45 |-Branch one:
% 136.84/74.45 | (991) ~ (all_499_3_699 = 0)
% 136.84/74.45 |
% 136.84/74.45 | Equations (824) can reduce 991 to:
% 136.84/74.45 | (917) $false
% 136.84/74.45 |
% 136.84/74.45 |-The branch is then unsatisfiable
% 136.84/74.45 |-Branch two:
% 136.84/74.45 | (824) all_499_3_699 = 0
% 136.84/74.45 | (994) all_499_0_696 = all_499_1_697 | all_499_4_700 = 0
% 136.84/74.45 |
% 136.84/74.45 +-Applying beta-rule and splitting (919), into two cases.
% 136.84/74.45 |-Branch one:
% 136.84/74.45 | (995) ~ (all_461_3_625 = 0)
% 136.84/74.45 |
% 136.84/74.45 | Equations (884) can reduce 995 to:
% 136.84/74.45 | (917) $false
% 136.84/74.45 |
% 136.84/74.45 |-The branch is then unsatisfiable
% 136.84/74.45 |-Branch two:
% 136.84/74.45 | (884) all_461_3_625 = 0
% 136.84/74.45 | (998) all_461_0_622 = all_461_1_623 | all_461_4_626 = 0
% 136.84/74.45 |
% 136.84/74.45 +-Applying beta-rule and splitting (998), into two cases.
% 136.84/74.45 |-Branch one:
% 136.84/74.45 | (999) all_461_4_626 = 0
% 136.84/74.45 |
% 136.84/74.45 | Combining equations (999,902) yields a new equation:
% 136.84/74.45 | (922) all_0_48_48 = 0
% 136.84/74.45 |
% 136.84/74.45 | Equations (922) can reduce 235 to:
% 136.84/74.45 | (917) $false
% 136.84/74.45 |
% 136.84/74.45 |-The branch is then unsatisfiable
% 136.84/74.45 |-Branch two:
% 136.84/74.45 | (1002) ~ (all_461_4_626 = 0)
% 136.84/74.45 | (1003) all_461_0_622 = all_461_1_623
% 136.84/74.45 |
% 136.84/74.45 | Combining equations (1003,838) yields a new equation:
% 136.84/74.45 | (1004) all_499_1_697 = all_461_1_623
% 136.84/74.45 |
% 136.84/74.45 | Equations (902) can reduce 1002 to:
% 136.84/74.45 | (235) ~ (all_0_48_48 = 0)
% 136.84/74.45 |
% 136.84/74.45 +-Applying beta-rule and splitting (784), into two cases.
% 136.84/74.45 |-Branch one:
% 136.84/74.45 | (1006) ~ (all_495_2_688 = 0)
% 136.84/74.45 |
% 136.84/74.45 | Equations (843) can reduce 1006 to:
% 136.84/74.45 | (917) $false
% 136.84/74.45 |
% 136.84/74.45 |-The branch is then unsatisfiable
% 136.84/74.45 |-Branch two:
% 136.84/74.45 | (843) all_495_2_688 = 0
% 136.84/74.45 | (1009) ~ (all_495_3_689 = 0) | all_495_0_686 = all_495_1_687 | all_495_4_690 = 0
% 136.84/74.45 |
% 136.84/74.45 +-Applying beta-rule and splitting (994), into two cases.
% 136.84/74.45 |-Branch one:
% 136.84/74.45 | (1010) all_499_4_700 = 0
% 136.84/74.45 |
% 136.84/74.45 | Combining equations (1010,912) yields a new equation:
% 136.84/74.45 | (922) all_0_48_48 = 0
% 136.84/74.45 |
% 136.84/74.45 | Equations (922) can reduce 235 to:
% 136.84/74.45 | (917) $false
% 136.84/74.45 |
% 136.84/74.45 |-The branch is then unsatisfiable
% 136.84/74.45 |-Branch two:
% 136.84/74.45 | (1013) ~ (all_499_4_700 = 0)
% 136.84/74.45 | (1014) all_499_0_696 = all_499_1_697
% 136.84/74.45 |
% 136.84/74.45 | Combining equations (1004,1014) yields a new equation:
% 136.84/74.45 | (1015) all_499_0_696 = all_461_1_623
% 136.84/74.45 |
% 136.84/74.45 | Equations (912) can reduce 1013 to:
% 136.84/74.45 | (235) ~ (all_0_48_48 = 0)
% 136.84/74.45 |
% 136.84/74.45 | From (1015) and (793) follows:
% 136.84/74.45 | (1017) join(all_0_49_49, all_0_45_45, all_0_46_46) = all_461_1_623
% 136.84/74.45 |
% 136.84/74.45 +-Applying beta-rule and splitting (1009), into two cases.
% 136.84/74.45 |-Branch one:
% 136.84/74.45 | (1018) ~ (all_495_3_689 = 0)
% 136.84/74.45 |
% 136.84/74.45 | Equations (911) can reduce 1018 to:
% 136.84/74.45 | (917) $false
% 136.84/74.45 |
% 136.84/74.45 |-The branch is then unsatisfiable
% 136.84/74.45 |-Branch two:
% 136.84/74.45 | (911) all_495_3_689 = 0
% 136.84/74.45 | (1021) all_495_0_686 = all_495_1_687 | all_495_4_690 = 0
% 136.84/74.45 |
% 136.84/74.45 +-Applying beta-rule and splitting (1021), into two cases.
% 136.84/74.45 |-Branch one:
% 136.84/74.45 | (1022) all_495_4_690 = 0
% 136.84/74.45 |
% 136.84/74.45 | Combining equations (910,1022) yields a new equation:
% 136.84/74.45 | (921) all_0_48_48 = 0
% 136.84/74.45 |
% 136.84/74.45 | Simplifying 921 yields:
% 136.84/74.45 | (922) all_0_48_48 = 0
% 136.84/74.45 |
% 136.84/74.45 | Equations (922) can reduce 235 to:
% 136.84/74.45 | (917) $false
% 136.84/74.45 |
% 136.84/74.45 |-The branch is then unsatisfiable
% 136.84/74.45 |-Branch two:
% 136.84/74.45 | (1026) ~ (all_495_4_690 = 0)
% 136.84/74.45 | (1027) all_495_0_686 = all_495_1_687
% 136.84/74.45 |
% 136.84/74.45 | Combining equations (839,1027) yields a new equation:
% 136.84/74.45 | (1028) all_495_0_686 = all_461_1_623
% 136.84/74.45 |
% 136.84/74.45 | From (1028) and (783) follows:
% 136.84/74.45 | (1029) join(all_0_49_49, all_0_46_46, all_0_45_45) = all_461_1_623
% 136.84/74.45 |
% 136.84/74.45 +-Applying beta-rule and splitting (986), into two cases.
% 136.84/74.45 |-Branch one:
% 136.84/74.45 | (936) ~ (element(all_0_46_46, all_264_0_322) = 0)
% 136.84/74.45 |
% 136.84/74.45 | From (806) and (936) follows:
% 136.84/74.45 | (937) ~ (element(all_0_46_46, all_0_47_47) = 0)
% 136.84/74.45 |
% 136.84/74.45 | Using (392) and (937) yields:
% 136.84/74.45 | (932) $false
% 136.84/74.45 |
% 136.84/74.45 |-The branch is then unsatisfiable
% 136.84/74.45 |-Branch two:
% 136.84/74.45 | (939) element(all_0_46_46, all_264_0_322) = 0
% 136.84/74.45 | (1034) ? [v0] : ? [v1] : (below(all_0_49_49, all_0_45_45, all_0_46_46) = v0 & join(all_0_49_49, all_0_45_45, all_0_46_46) = v1 & ( ~ (v1 = all_0_46_46) | v0 = 0) & ( ~ (v0 = 0) | v1 = all_0_46_46))
% 136.84/74.45 |
% 136.84/74.45 | Instantiating (1034) with all_2190_0_2407, all_2190_1_2408 yields:
% 136.84/74.45 | (1035) below(all_0_49_49, all_0_45_45, all_0_46_46) = all_2190_1_2408 & join(all_0_49_49, all_0_45_45, all_0_46_46) = all_2190_0_2407 & ( ~ (all_2190_0_2407 = all_0_46_46) | all_2190_1_2408 = 0) & ( ~ (all_2190_1_2408 = 0) | all_2190_0_2407 = all_0_46_46)
% 136.84/74.45 |
% 136.84/74.45 | Applying alpha-rule on (1035) yields:
% 136.84/74.46 | (1036) below(all_0_49_49, all_0_45_45, all_0_46_46) = all_2190_1_2408
% 136.84/74.46 | (1037) join(all_0_49_49, all_0_45_45, all_0_46_46) = all_2190_0_2407
% 136.84/74.46 | (1038) ~ (all_2190_0_2407 = all_0_46_46) | all_2190_1_2408 = 0
% 136.84/74.46 | (1039) ~ (all_2190_1_2408 = 0) | all_2190_0_2407 = all_0_46_46
% 136.84/74.46 |
% 136.84/74.46 | Instantiating formula (519) with all_0_49_49, all_0_45_45, all_0_46_46, all_2190_1_2408, 0 and discharging atoms below(all_0_49_49, all_0_45_45, all_0_46_46) = all_2190_1_2408, below(all_0_49_49, all_0_45_45, all_0_46_46) = 0, yields:
% 136.84/74.46 | (1040) all_2190_1_2408 = 0
% 136.84/74.46 |
% 136.84/74.46 | Instantiating formula (519) with all_0_49_49, all_0_46_46, all_0_45_45, all_1510_1_2375, 0 and discharging atoms below(all_0_49_49, all_0_46_46, all_0_45_45) = all_1510_1_2375, below(all_0_49_49, all_0_46_46, all_0_45_45) = 0, yields:
% 136.84/74.46 | (1041) all_1510_1_2375 = 0
% 136.84/74.46 |
% 136.84/74.46 | Instantiating formula (69) with all_0_49_49, all_0_45_45, all_0_46_46, all_461_1_623, all_2190_0_2407 and discharging atoms join(all_0_49_49, all_0_45_45, all_0_46_46) = all_2190_0_2407, join(all_0_49_49, all_0_45_45, all_0_46_46) = all_461_1_623, yields:
% 136.84/74.46 | (1042) all_2190_0_2407 = all_461_1_623
% 136.84/74.46 |
% 136.84/74.46 | Instantiating formula (69) with all_0_49_49, all_0_46_46, all_0_45_45, all_461_1_623, all_1510_0_2374 and discharging atoms join(all_0_49_49, all_0_46_46, all_0_45_45) = all_1510_0_2374, join(all_0_49_49, all_0_46_46, all_0_45_45) = all_461_1_623, yields:
% 136.84/74.46 | (1043) all_1510_0_2374 = all_461_1_623
% 136.84/74.46 |
% 136.84/74.46 +-Applying beta-rule and splitting (951), into two cases.
% 136.84/74.46 |-Branch one:
% 136.84/74.46 | (1044) ~ (all_1510_1_2375 = 0)
% 136.84/74.46 |
% 136.84/74.46 | Equations (1041) can reduce 1044 to:
% 136.84/74.46 | (917) $false
% 136.84/74.46 |
% 136.84/74.46 |-The branch is then unsatisfiable
% 136.84/74.46 |-Branch two:
% 136.84/74.46 | (1041) all_1510_1_2375 = 0
% 136.84/74.46 | (1047) all_1510_0_2374 = all_0_45_45
% 136.84/74.46 |
% 136.84/74.46 | Combining equations (1047,1043) yields a new equation:
% 136.84/74.46 | (1048) all_461_1_623 = all_0_45_45
% 136.84/74.46 |
% 136.84/74.46 | Combining equations (1048,1042) yields a new equation:
% 136.84/74.46 | (1049) all_2190_0_2407 = all_0_45_45
% 136.84/74.46 |
% 136.84/74.46 +-Applying beta-rule and splitting (1039), into two cases.
% 136.84/74.46 |-Branch one:
% 136.84/74.46 | (1050) ~ (all_2190_1_2408 = 0)
% 136.84/74.46 |
% 136.84/74.46 | Equations (1040) can reduce 1050 to:
% 136.84/74.46 | (917) $false
% 136.84/74.46 |
% 136.84/74.46 |-The branch is then unsatisfiable
% 136.84/74.46 |-Branch two:
% 136.84/74.46 | (1040) all_2190_1_2408 = 0
% 136.84/74.46 | (1053) all_2190_0_2407 = all_0_46_46
% 136.84/74.46 |
% 136.84/74.46 | Combining equations (1053,1049) yields a new equation:
% 136.84/74.46 | (1054) all_0_45_45 = all_0_46_46
% 136.84/74.46 |
% 136.84/74.46 | Equations (1054) can reduce 523 to:
% 136.84/74.46 | (917) $false
% 136.84/74.46 |
% 136.84/74.46 |-The branch is then unsatisfiable
% 136.84/74.46 % SZS output end Proof for theBenchmark
% 136.84/74.46
% 136.84/74.46 73833ms
%------------------------------------------------------------------------------