TSTP Solution File: SEU255+2 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SEU255+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.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 08:48:12 EDT 2022
% Result : Theorem 146.59s 96.03s
% Output : Proof 162.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU255+2 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 15:43:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.57 ____ _
% 0.58/0.57 ___ / __ \_____(_)___ ________ __________
% 0.58/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.57
% 0.58/0.57 A Theorem Prover for First-Order Logic
% 0.58/0.57 (ePrincess v.1.0)
% 0.58/0.57
% 0.58/0.57 (c) Philipp Rümmer, 2009-2015
% 0.58/0.57 (c) Peter Backeman, 2014-2015
% 0.58/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.57 Bug reports to peter@backeman.se
% 0.58/0.57
% 0.58/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.57
% 0.58/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.58/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.94/1.21 Prover 0: Preprocessing ...
% 7.67/2.27 Prover 0: Warning: ignoring some quantifiers
% 8.00/2.33 Prover 0: Constructing countermodel ...
% 23.15/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 23.92/6.10 Prover 1: Preprocessing ...
% 26.04/6.57 Prover 1: Warning: ignoring some quantifiers
% 26.04/6.59 Prover 1: Constructing countermodel ...
% 34.07/8.52 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 34.82/8.71 Prover 2: Preprocessing ...
% 38.65/9.64 Prover 2: Warning: ignoring some quantifiers
% 38.94/9.69 Prover 2: Constructing countermodel ...
% 43.91/11.53 Prover 0: stopped
% 44.16/11.73 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 44.46/11.90 Prover 3: Preprocessing ...
% 45.40/12.09 Prover 3: Warning: ignoring some quantifiers
% 45.40/12.10 Prover 3: Constructing countermodel ...
% 93.09/53.06 Prover 3: stopped
% 93.45/53.27 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 94.07/53.45 Prover 4: Preprocessing ...
% 96.57/54.19 Prover 4: Warning: ignoring some quantifiers
% 96.88/54.22 Prover 4: Constructing countermodel ...
% 146.59/96.03 Prover 1: proved (17033ms)
% 146.59/96.03 Prover 2: stopped
% 146.59/96.03 Prover 4: stopped
% 146.59/96.03
% 146.59/96.03 No countermodel exists, formula is valid
% 146.59/96.03 % SZS status Theorem for theBenchmark
% 146.59/96.03
% 146.59/96.03 Generating proof ... Warning: ignoring some quantifiers
% 160.49/100.94 found it (size 109)
% 160.49/100.94
% 160.49/100.94 % SZS output start Proof for theBenchmark
% 160.49/100.94 Assumed formulas after preprocessing and simplification:
% 160.49/100.94 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ( ~ (v13 = 0) & ~ (v11 = 0) & ~ (v8 = 0) & ~ (v4 = 0) & relation_empty_yielding(v6) = 0 & relation_empty_yielding(v5) = 0 & relation_empty_yielding(empty_set) = 0 & relation_restriction(v2, v1) = v3 & relation_rng(empty_set) = empty_set & powerset(empty_set) = v0 & singleton(empty_set) = v0 & antisymmetric(v3) = v4 & antisymmetric(v2) = 0 & relation_dom(empty_set) = empty_set & one_to_one(v14) = 0 & one_to_one(v9) = 0 & one_to_one(empty_set) = 0 & relation(v19) = 0 & relation(v17) = 0 & relation(v15) = 0 & relation(v14) = 0 & relation(v12) = 0 & relation(v9) = 0 & relation(v6) = 0 & relation(v5) = 0 & relation(v2) = 0 & relation(empty_set) = 0 & epsilon_connected(v18) = 0 & epsilon_connected(v14) = 0 & epsilon_connected(v7) = 0 & epsilon_connected(empty_set) = 0 & ordinal(v18) = 0 & ordinal(v14) = 0 & ordinal(v7) = 0 & ordinal(empty_set) = 0 & epsilon_transitive(v18) = 0 & epsilon_transitive(v14) = 0 & epsilon_transitive(v7) = 0 & epsilon_transitive(empty_set) = 0 & function(v19) = 0 & function(v15) = 0 & function(v14) = 0 & function(v9) = 0 & function(v5) = 0 & function(empty_set) = 0 & empty(v17) = 0 & empty(v16) = 0 & empty(v15) = 0 & empty(v14) = 0 & empty(v12) = v13 & empty(v10) = v11 & empty(v7) = v8 & empty(empty_set) = 0 & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v26 = 0 | ~ (relation_composition(v20, v21) = v22) | ~ (ordered_pair(v23, v27) = v28) | ~ (ordered_pair(v23, v24) = v25) | ~ (relation(v22) = 0) | ~ (relation(v20) = 0) | ~ (in(v28, v20) = 0) | ~ (in(v25, v22) = v26) | ? [v29] : ? [v30] : (( ~ (v30 = 0) & ordered_pair(v27, v24) = v29 & in(v29, v21) = v30) | ( ~ (v29 = 0) & relation(v21) = v29))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v27 = 0 | ~ (is_transitive_in(v20, v21) = 0) | ~ (ordered_pair(v22, v24) = v26) | ~ (ordered_pair(v22, v23) = v25) | ~ (relation(v20) = 0) | ~ (in(v26, v20) = v27) | ~ (in(v25, v20) = 0) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (ordered_pair(v23, v24) = v31 & in(v31, v20) = v32 & in(v24, v21) = v30 & in(v23, v21) = v29 & in(v22, v21) = v28 & ( ~ (v32 = 0) | ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (relation_composition(v25, v23) = v26) | ~ (identity_relation(v22) = v25) | ~ (ordered_pair(v20, v21) = v24) | ~ (in(v24, v26) = v27) | ? [v28] : ? [v29] : ? [v30] : (relation(v23) = v28 & in(v24, v23) = v30 & in(v20, v22) = v29 & ( ~ (v28 = 0) | (( ~ (v30 = 0) | ~ (v29 = 0) | v27 = 0) & ( ~ (v27 = 0) | (v30 = 0 & v29 = 0)))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v26 = 0 | ~ (relation_restriction(v22, v20) = v23) | ~ (fiber(v23, v21) = v24) | ~ (fiber(v22, v21) = v25) | ~ (subset(v24, v25) = v26) | ? [v27] : ( ~ (v27 = 0) & relation(v22) = v27)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v26 = 0 | ~ (relation_rng(v22) = v25) | ~ (relation_dom(v22) = v23) | ~ (in(v21, v25) = v26) | ~ (in(v20, v23) = v24) | ? [v27] : ? [v28] : ? [v29] : (ordered_pair(v20, v21) = v28 & relation(v22) = v27 & in(v28, v22) = v29 & ( ~ (v29 = 0) | ~ (v27 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v26 = 0 | ~ (cartesian_product2(v22, v23) = v25) | ~ (ordered_pair(v20, v21) = v24) | ~ (in(v24, v25) = v26) | ? [v27] : ? [v28] : (in(v21, v23) = v28 & in(v20, v22) = v27 & ( ~ (v28 = 0) | ~ (v27 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v26 = 0 | ~ (cartesian_product2(v21, v23) = v25) | ~ (cartesian_product2(v20, v22) = v24) | ~ (subset(v24, v25) = v26) | ? [v27] : ? [v28] : (subset(v22, v23) = v28 & subset(v20, v21) = v27 & ( ~ (v28 = 0) | ~ (v27 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v26 = 0 | ~ (transitive(v20) = 0) | ~ (ordered_pair(v21, v23) = v25) | ~ (ordered_pair(v21, v22) = v24) | ~ (in(v25, v20) = v26) | ~ (in(v24, v20) = 0) | ? [v27] : ? [v28] : (( ~ (v28 = 0) & ordered_pair(v22, v23) = v27 & in(v27, v20) = v28) | ( ~ (v27 = 0) & relation(v20) = v27))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v24 = 0 | ~ (relation_rng(v22) = v25) | ~ (relation_dom(v22) = v23) | ~ (in(v21, v25) = v26) | ~ (in(v20, v23) = v24) | ? [v27] : ? [v28] : ? [v29] : (ordered_pair(v20, v21) = v28 & relation(v22) = v27 & in(v28, v22) = v29 & ( ~ (v29 = 0) | ~ (v27 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v24 = 0 | ~ (cartesian_product2(v20, v21) = v22) | ~ (ordered_pair(v25, v26) = v23) | ~ (in(v23, v22) = v24) | ? [v27] : ? [v28] : (in(v26, v21) = v28 & in(v25, v20) = v27 & ( ~ (v28 = 0) | ~ (v27 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v24 = 0 | ~ (relation_inverse_image(v20, v21) = v22) | ~ (ordered_pair(v23, v25) = v26) | ~ (relation(v20) = 0) | ~ (in(v26, v20) = 0) | ~ (in(v23, v22) = v24) | ? [v27] : ( ~ (v27 = 0) & in(v25, v21) = v27)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v24 = 0 | ~ (relation_image(v20, v21) = v22) | ~ (ordered_pair(v25, v23) = v26) | ~ (relation(v20) = 0) | ~ (in(v26, v20) = 0) | ~ (in(v23, v22) = v24) | ? [v27] : ( ~ (v27 = 0) & in(v25, v21) = v27)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (relation_rng_restriction(v20, v21) = v22) | ~ (ordered_pair(v23, v24) = v25) | ~ (relation(v22) = 0) | ~ (in(v25, v21) = v26) | ? [v27] : ? [v28] : (( ~ (v27 = 0) & relation(v21) = v27) | (in(v25, v22) = v27 & in(v24, v20) = v28 & ( ~ (v27 = 0) | (v28 = 0 & v26 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (relation_dom_restriction(v20, v21) = v22) | ~ (ordered_pair(v23, v24) = v25) | ~ (relation(v22) = 0) | ~ (relation(v20) = 0) | ~ (in(v25, v20) = v26) | ? [v27] : ? [v28] : (in(v25, v22) = v27 & in(v23, v21) = v28 & ( ~ (v27 = 0) | (v28 = 0 & v26 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | v23 = v22 | ~ (is_connected_in(v20, v21) = 0) | ~ (ordered_pair(v22, v23) = v24) | ~ (relation(v20) = 0) | ~ (in(v24, v20) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (ordered_pair(v23, v22) = v28 & in(v28, v20) = v29 & in(v23, v21) = v27 & in(v22, v21) = v26 & ( ~ (v27 = 0) | ~ (v26 = 0) | v29 = 0))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (subset_difference(v20, v21, v22) = v24) | ~ (element(v24, v23) = v25) | ~ (powerset(v20) = v23) | ? [v26] : ? [v27] : (element(v22, v23) = v27 & element(v21, v23) = v26 & ( ~ (v27 = 0) | ~ (v26 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (complements_of_subsets(v20, v21) = v24) | ~ (element(v24, v23) = v25) | ~ (powerset(v22) = v23) | ~ (powerset(v20) = v22) | ? [v26] : ( ~ (v26 = 0) & element(v21, v23) = v26)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (relation_composition(v20, v22) = v23) | ~ (relation_dom(v23) = v24) | ~ (relation_dom(v20) = v21) | ~ (subset(v24, v21) = v25) | ? [v26] : (( ~ (v26 = 0) & relation(v22) = v26) | ( ~ (v26 = 0) & relation(v20) = v26))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (relation_composition(v20, v21) = v22) | ~ (relation_rng(v22) = v23) | ~ (relation_rng(v21) = v24) | ~ (subset(v23, v24) = v25) | ~ (relation(v20) = 0) | ? [v26] : ( ~ (v26 = 0) & relation(v21) = v26)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (relation_inverse(v20) = v21) | ~ (ordered_pair(v22, v23) = v24) | ~ (relation(v21) = 0) | ~ (in(v24, v21) = v25) | ? [v26] : ? [v27] : (( ~ (v27 = 0) & ordered_pair(v23, v22) = v26 & in(v26, v20) = v27) | ( ~ (v26 = 0) & relation(v20) = v26))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (relation_rng(v22) = v23) | ~ (relation_rng(v21) = v24) | ~ (relation_rng_restriction(v20, v21) = v22) | ~ (subset(v23, v24) = v25) | ? [v26] : ( ~ (v26 = 0) & relation(v21) = v26)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (relation_rng(v22) = v23) | ~ (relation_rng(v21) = v24) | ~ (relation_dom_restriction(v21, v20) = v22) | ~ (subset(v23, v24) = v25) | ? [v26] : ( ~ (v26 = 0) & relation(v21) = v26)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (set_difference(v21, v23) = v24) | ~ (singleton(v22) = v23) | ~ (subset(v20, v24) = v25) | ? [v26] : ? [v27] : (subset(v20, v21) = v26 & in(v22, v20) = v27 & ( ~ (v26 = 0) | v27 = 0))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (set_difference(v21, v22) = v24) | ~ (set_difference(v20, v22) = v23) | ~ (subset(v23, v24) = v25) | ? [v26] : ( ~ (v26 = 0) & subset(v20, v21) = v26)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (fiber(v20, v21) = v22) | ~ (ordered_pair(v23, v21) = v24) | ~ (relation(v20) = 0) | ~ (in(v24, v20) = v25) | ? [v26] : ( ~ (v26 = 0) & in(v23, v22) = v26)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (relation_inverse_image(v22, v21) = v24) | ~ (relation_inverse_image(v22, v20) = v23) | ~ (subset(v23, v24) = v25) | ? [v26] : ? [v27] : (subset(v20, v21) = v27 & relation(v22) = v26 & ( ~ (v27 = 0) | ~ (v26 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (relation_field(v22) = v23) | ~ (in(v21, v23) = v25) | ~ (in(v20, v23) = v24) | ? [v26] : ? [v27] : ? [v28] : (ordered_pair(v20, v21) = v27 & relation(v22) = v26 & in(v27, v22) = v28 & ( ~ (v28 = 0) | ~ (v26 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (relation_rng_restriction(v20, v21) = v22) | ~ (relation_dom(v22) = v23) | ~ (relation_dom(v21) = v24) | ~ (subset(v23, v24) = v25) | ? [v26] : ( ~ (v26 = 0) & relation(v21) = v26)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (subset(v23, v24) = v25) | ~ (set_intersection2(v21, v22) = v24) | ~ (set_intersection2(v20, v22) = v23) | ? [v26] : ( ~ (v26 = 0) & subset(v20, v21) = v26)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v24 = 0 | ~ (relation_field(v22) = v23) | ~ (in(v21, v23) = v25) | ~ (in(v20, v23) = v24) | ? [v26] : ? [v27] : ? [v28] : (ordered_pair(v20, v21) = v27 & relation(v22) = v26 & in(v27, v22) = v28 & ( ~ (v28 = 0) | ~ (v26 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v23 = 0 | ~ (relation_rng(v20) = v21) | ~ (ordered_pair(v24, v22) = v25) | ~ (in(v25, v20) = 0) | ~ (in(v22, v21) = v23) | ? [v26] : ( ~ (v26 = 0) & relation(v20) = v26)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v23 = 0 | ~ (relation_dom(v20) = v21) | ~ (ordered_pair(v22, v24) = v25) | ~ (in(v25, v20) = 0) | ~ (in(v22, v21) = v23) | ? [v26] : ( ~ (v26 = 0) & relation(v20) = v26)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (relation_composition(v20, v21) = v22) | ~ (ordered_pair(v23, v24) = v25) | ~ (relation(v22) = 0) | ~ (relation(v20) = 0) | ~ (in(v25, v22) = 0) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v30 = 0 & v28 = 0 & ordered_pair(v26, v24) = v29 & ordered_pair(v23, v26) = v27 & in(v29, v21) = 0 & in(v27, v20) = 0) | ( ~ (v26 = 0) & relation(v21) = v26))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (relation_restriction(v21, v20) = v22) | ~ (relation_field(v22) = v23) | ~ (relation_field(v21) = v24) | ~ (subset(v23, v24) = v25) | ? [v26] : ? [v27] : (subset(v23, v20) = v27 & relation(v21) = v26 & ( ~ (v26 = 0) | (v27 = 0 & v25 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (relation_rng(v23) = v24) | ~ (relation_rng_restriction(v21, v22) = v23) | ~ (in(v20, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (relation_rng(v22) = v28 & relation(v22) = v26 & in(v20, v28) = v29 & in(v20, v21) = v27 & ( ~ (v26 = 0) | (( ~ (v29 = 0) | ~ (v27 = 0) | v25 = 0) & ( ~ (v25 = 0) | (v29 = 0 & v27 = 0)))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (cartesian_product2(v22, v23) = v25) | ~ (ordered_pair(v20, v21) = v24) | ~ (in(v24, v25) = 0) | (in(v21, v23) = 0 & in(v20, v22) = 0)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (cartesian_product2(v21, v22) = v24) | ~ (cartesian_product2(v20, v22) = v23) | ~ (subset(v23, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (cartesian_product2(v22, v21) = v28 & cartesian_product2(v22, v20) = v27 & subset(v27, v28) = v29 & subset(v20, v21) = v26 & ( ~ (v26 = 0) | (v29 = 0 & v25 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (relation_rng_restriction(v20, v21) = v22) | ~ (ordered_pair(v23, v24) = v25) | ~ (relation(v22) = 0) | ~ (in(v25, v21) = 0) | ? [v26] : ? [v27] : (( ~ (v26 = 0) & relation(v21) = v26) | (in(v25, v22) = v27 & in(v24, v20) = v26 & ( ~ (v26 = 0) | v27 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (relation_dom(v23) = v24) | ~ (relation_dom_restriction(v22, v21) = v23) | ~ (in(v20, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (relation_dom(v22) = v28 & relation(v22) = v26 & in(v20, v28) = v29 & in(v20, v21) = v27 & ( ~ (v26 = 0) | (( ~ (v29 = 0) | ~ (v27 = 0) | v25 = 0) & ( ~ (v25 = 0) | (v29 = 0 & v27 = 0)))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (relation_dom(v23) = v24) | ~ (relation_dom_restriction(v22, v20) = v23) | ~ (in(v21, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (relation_dom(v22) = v28 & relation(v22) = v26 & function(v22) = v27 & in(v21, v28) = v29 & in(v21, v20) = v30 & ( ~ (v27 = 0) | ~ (v26 = 0) | (( ~ (v30 = 0) | ~ (v29 = 0) | v25 = 0) & ( ~ (v25 = 0) | (v30 = 0 & v29 = 0)))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (relation_dom_restriction(v20, v21) = v22) | ~ (ordered_pair(v23, v24) = v25) | ~ (relation(v22) = 0) | ~ (relation(v20) = 0) | ~ (in(v25, v20) = 0) | ? [v26] : ? [v27] : (in(v25, v22) = v27 & in(v23, v21) = v26 & ( ~ (v26 = 0) | v27 = 0))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v22 | v24 = v21 | v24 = v20 | ~ (unordered_triple(v20, v21, v22) = v23) | ~ (in(v24, v23) = 0)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | v20 = empty_set | ~ (set_meet(v20) = v21) | ~ (in(v22, v23) = v24) | ~ (in(v22, v21) = 0) | ? [v25] : ( ~ (v25 = 0) & in(v23, v20) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (meet_of_subsets(v20, v21) = v23) | ~ (element(v23, v22) = v24) | ~ (powerset(v20) = v22) | ? [v25] : ? [v26] : ( ~ (v26 = 0) & element(v21, v25) = v26 & powerset(v22) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (union_of_subsets(v20, v21) = v23) | ~ (element(v23, v22) = v24) | ~ (powerset(v20) = v22) | ? [v25] : ? [v26] : ( ~ (v26 = 0) & element(v21, v25) = v26 & powerset(v22) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (subset_complement(v20, v21) = v23) | ~ (element(v23, v22) = v24) | ~ (powerset(v20) = v22) | ? [v25] : ( ~ (v25 = 0) & element(v21, v22) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (relation_rng(v22) = v23) | ~ (relation_rng_restriction(v20, v21) = v22) | ~ (subset(v23, v20) = v24) | ? [v25] : ( ~ (v25 = 0) & relation(v21) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (relation_rng(v21) = v23) | ~ (relation_image(v21, v20) = v22) | ~ (subset(v22, v23) = v24) | ? [v25] : ( ~ (v25 = 0) & relation(v21) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (relation_rng(v20) = v22) | ~ (cartesian_product2(v21, v22) = v23) | ~ (relation_dom(v20) = v21) | ~ (subset(v20, v23) = v24) | ? [v25] : ( ~ (v25 = 0) & relation(v20) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (element(v21, v23) = 0) | ~ (element(v20, v22) = v24) | ~ (powerset(v22) = v23) | ? [v25] : ( ~ (v25 = 0) & in(v20, v21) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (element(v21, v22) = 0) | ~ (powerset(v20) = v22) | ~ (in(v23, v20) = v24) | ? [v25] : ( ~ (v25 = 0) & in(v23, v21) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (is_reflexive_in(v20, v21) = 0) | ~ (ordered_pair(v22, v22) = v23) | ~ (relation(v20) = 0) | ~ (in(v23, v20) = v24) | ? [v25] : ( ~ (v25 = 0) & in(v22, v21) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (unordered_triple(v20, v21, v22) = v23) | ~ (in(v22, v23) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (unordered_triple(v20, v21, v22) = v23) | ~ (in(v21, v23) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (unordered_triple(v20, v21, v22) = v23) | ~ (in(v20, v23) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (relation_inverse_image(v21, v22) = v23) | ~ (relation_image(v21, v20) = v22) | ~ (subset(v20, v23) = v24) | ? [v25] : ? [v26] : ? [v27] : (relation_dom(v21) = v26 & subset(v20, v26) = v27 & relation(v21) = v25 & ( ~ (v27 = 0) | ~ (v25 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (relation_inverse_image(v21, v20) = v22) | ~ (relation_dom(v21) = v23) | ~ (subset(v22, v23) = v24) | ? [v25] : ( ~ (v25 = 0) & relation(v21) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (relation_inverse_image(v21, v20) = v22) | ~ (relation_image(v21, v22) = v23) | ~ (subset(v23, v20) = v24) | ? [v25] : ? [v26] : (relation(v21) = v25 & function(v21) = v26 & ( ~ (v26 = 0) | ~ (v25 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (subset(v23, v22) = v24) | ~ (unordered_pair(v20, v21) = v23) | ? [v25] : ? [v26] : (in(v21, v22) = v26 & in(v20, v22) = v25 & ( ~ (v26 = 0) | ~ (v25 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (subset(v23, v21) = v24) | ~ (set_union2(v20, v22) = v23) | ? [v25] : ? [v26] : (subset(v22, v21) = v26 & subset(v20, v21) = v25 & ( ~ (v26 = 0) | ~ (v25 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (subset(v20, v23) = v24) | ~ (set_intersection2(v21, v22) = v23) | ? [v25] : ? [v26] : (subset(v20, v22) = v26 & subset(v20, v21) = v25 & ( ~ (v26 = 0) | ~ (v25 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (identity_relation(v20) = v21) | ~ (ordered_pair(v22, v22) = v23) | ~ (relation(v21) = 0) | ~ (in(v23, v21) = v24) | ? [v25] : ( ~ (v25 = 0) & in(v22, v20) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (set_union2(v20, v21) = v22) | ~ (in(v23, v20) = v24) | ? [v25] : ? [v26] : (in(v23, v22) = v25 & in(v23, v21) = v26 & ( ~ (v25 = 0) | v26 = 0))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v23 = v22 | ~ (is_antisymmetric_in(v20, v21) = 0) | ~ (ordered_pair(v22, v23) = v24) | ~ (relation(v20) = 0) | ~ (in(v24, v20) = 0) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (ordered_pair(v23, v22) = v27 & in(v27, v20) = v28 & in(v23, v21) = v26 & in(v22, v21) = v25 & ( ~ (v28 = 0) | ~ (v26 = 0) | ~ (v25 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v23 = v22 | ~ (identity_relation(v20) = v21) | ~ (ordered_pair(v22, v23) = v24) | ~ (relation(v21) = 0) | ~ (in(v24, v21) = 0)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v23 = v21 | ~ (fiber(v20, v21) = v22) | ~ (ordered_pair(v23, v21) = v24) | ~ (relation(v20) = 0) | ~ (in(v24, v20) = 0) | in(v23, v22) = 0) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v23 = v21 | ~ (ordered_pair(v22, v23) = v24) | ~ (ordered_pair(v20, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v23 = v20 | v22 = v20 | ~ (unordered_pair(v22, v23) = v24) | ~ (unordered_pair(v20, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v23 = 0 | ~ (union(v20) = v21) | ~ (in(v22, v24) = 0) | ~ (in(v22, v21) = v23) | ? [v25] : ( ~ (v25 = 0) & in(v24, v20) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v22 = v20 | ~ (ordered_pair(v22, v23) = v24) | ~ (ordered_pair(v20, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v21 = v20 | ~ (subset_difference(v24, v23, v22) = v21) | ~ (subset_difference(v24, v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v21 = v20 | ~ (unordered_triple(v24, v23, v22) = v21) | ~ (unordered_triple(v24, v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v21 = empty_set | ~ (subset_difference(v20, v22, v23) = v24) | ~ (meet_of_subsets(v20, v21) = v23) | ~ (cast_to_subset(v20) = v22) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (union_of_subsets(v20, v28) = v29 & complements_of_subsets(v20, v21) = v28 & element(v21, v26) = v27 & powerset(v25) = v26 & powerset(v20) = v25 & ( ~ (v27 = 0) | v29 = v24))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v21 = empty_set | ~ (subset_difference(v20, v22, v23) = v24) | ~ (union_of_subsets(v20, v21) = v23) | ~ (cast_to_subset(v20) = v22) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (meet_of_subsets(v20, v28) = v29 & complements_of_subsets(v20, v21) = v28 & element(v21, v26) = v27 & powerset(v25) = v26 & powerset(v20) = v25 & ( ~ (v27 = 0) | v29 = v24))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (function_inverse(v21) = v22) | ~ (relation_composition(v22, v21) = v23) | ~ (apply(v23, v20) = v24) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (relation_rng(v21) = v28 & apply(v22, v20) = v30 & apply(v21, v30) = v31 & one_to_one(v21) = v27 & relation(v21) = v25 & function(v21) = v26 & in(v20, v28) = v29 & ( ~ (v29 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | (v31 = v20 & v24 = v20)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (relation_composition(v22, v21) = v23) | ~ (relation_dom(v23) = v24) | ~ (function(v21) = 0) | ~ (in(v20, v24) = 0) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v25 = 0) & relation(v21) = v25) | (apply(v23, v20) = v27 & apply(v22, v20) = v28 & apply(v21, v28) = v29 & relation(v22) = v25 & function(v22) = v26 & ( ~ (v26 = 0) | ~ (v25 = 0) | v29 = v27)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (relation_inverse(v20) = v21) | ~ (ordered_pair(v22, v23) = v24) | ~ (relation(v21) = 0) | ~ (in(v24, v21) = 0) | ? [v25] : ? [v26] : ((v26 = 0 & ordered_pair(v23, v22) = v25 & in(v25, v20) = 0) | ( ~ (v25 = 0) & relation(v20) = v25))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (relation_restriction(v22, v21) = v23) | ~ (relation_field(v23) = v24) | ~ (in(v20, v24) = 0) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (relation_field(v22) = v26 & relation(v22) = v25 & in(v20, v26) = v27 & in(v20, v21) = v28 & ( ~ (v25 = 0) | (v28 = 0 & v27 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (relation_restriction(v22, v21) = v23) | ~ (in(v20, v23) = v24) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (cartesian_product2(v21, v21) = v27 & relation(v22) = v25 & in(v20, v27) = v28 & in(v20, v22) = v26 & ( ~ (v25 = 0) | (( ~ (v28 = 0) | ~ (v26 = 0) | v24 = 0) & ( ~ (v24 = 0) | (v28 = 0 & v26 = 0)))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (set_difference(v20, v21) = v22) | ~ (in(v23, v20) = v24) | ? [v25] : ? [v26] : (in(v23, v22) = v25 & in(v23, v21) = v26 & ( ~ (v25 = 0) | (v24 = 0 & ~ (v26 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (fiber(v20, v21) = v22) | ~ (ordered_pair(v21, v21) = v23) | ~ (relation(v20) = 0) | ~ (in(v23, v20) = v24) | ? [v25] : ( ~ (v25 = 0) & in(v21, v22) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (singleton(v20) = v23) | ~ (unordered_pair(v22, v23) = v24) | ~ (unordered_pair(v20, v21) = v22) | ordered_pair(v20, v21) = v24) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (relation_inverse_image(v22, v21) = v23) | ~ (in(v20, v23) = v24) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (relation_rng(v22) = v26 & relation(v22) = v25 & ( ~ (v25 = 0) | (( ~ (v24 = 0) | (v31 = 0 & v30 = 0 & v28 = 0 & ordered_pair(v20, v27) = v29 & in(v29, v22) = 0 & in(v27, v26) = 0 & in(v27, v21) = 0)) & (v24 = 0 | ! [v32] : ( ~ (in(v32, v26) = 0) | ? [v33] : ? [v34] : ? [v35] : (ordered_pair(v20, v32) = v33 & in(v33, v22) = v34 & in(v32, v21) = v35 & ( ~ (v35 = 0) | ~ (v34 = 0))))))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (relation_rng_restriction(v20, v23) = v24) | ~ (relation_dom_restriction(v22, v21) = v23) | ? [v25] : ? [v26] : ? [v27] : (relation_rng_restriction(v20, v22) = v26 & relation_dom_restriction(v26, v21) = v27 & relation(v22) = v25 & ( ~ (v25 = 0) | v27 = v24))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (relation_dom(v23) = v24) | ~ (relation_dom_restriction(v22, v20) = v23) | ~ (in(v21, v24) = 0) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (apply(v23, v21) = v27 & apply(v22, v21) = v28 & relation(v22) = v25 & function(v22) = v26 & ( ~ (v26 = 0) | ~ (v25 = 0) | v28 = v27))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (relation_dom(v21) = v22) | ~ (relation_image(v21, v23) = v24) | ~ (set_intersection2(v22, v20) = v23) | ? [v25] : ? [v26] : (relation_image(v21, v20) = v26 & relation(v21) = v25 & ( ~ (v25 = 0) | v26 = v24))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (relation_image(v22, v21) = v23) | ~ (in(v20, v23) = v24) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (relation_dom(v22) = v26 & relation(v22) = v25 & ( ~ (v25 = 0) | (( ~ (v24 = 0) | (v31 = 0 & v30 = 0 & v28 = 0 & ordered_pair(v27, v20) = v29 & in(v29, v22) = 0 & in(v27, v26) = 0 & in(v27, v21) = 0)) & (v24 = 0 | ! [v32] : ( ~ (in(v32, v26) = 0) | ? [v33] : ? [v34] : ? [v35] : (ordered_pair(v32, v20) = v33 & in(v33, v22) = v34 & in(v32, v21) = v35 & ( ~ (v35 = 0) | ~ (v34 = 0))))))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (apply(v23, v21) = v24) | ~ (relation_dom_restriction(v22, v20) = v23) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (apply(v22, v21) = v28 & relation(v22) = v25 & function(v22) = v26 & in(v21, v20) = v27 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | v28 = v24))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (subset(v20, v21) = 0) | ~ (ordered_pair(v22, v23) = v24) | ~ (relation(v20) = 0) | ~ (in(v24, v20) = 0) | ? [v25] : ((v25 = 0 & in(v24, v21) = 0) | ( ~ (v25 = 0) & relation(v21) = v25))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (identity_relation(v20) = v21) | ~ (ordered_pair(v22, v23) = v24) | ~ (relation(v21) = 0) | ~ (in(v24, v21) = 0) | in(v22, v20) = 0) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (ordered_pair(v20, v21) = v23) | ~ (in(v23, v22) = v24) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (relation_dom(v22) = v27 & apply(v22, v20) = v29 & relation(v22) = v25 & function(v22) = v26 & in(v20, v27) = v28 & ( ~ (v26 = 0) | ~ (v25 = 0) | (( ~ (v29 = v21) | ~ (v28 = 0) | v24 = 0) & ( ~ (v24 = 0) | (v29 = v21 & v28 = 0)))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (set_intersection2(v20, v21) = v22) | ~ (in(v23, v20) = v24) | ? [v25] : ? [v26] : (in(v23, v22) = v25 & in(v23, v21) = v26 & ( ~ (v25 = 0) | (v26 = 0 & v24 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (set_union2(v20, v21) = v22) | ~ (in(v23, v20) = v24) | ? [v25] : ? [v26] : (in(v23, v22) = v26 & in(v23, v21) = v25 & (v26 = 0 | ( ~ (v25 = 0) & ~ (v24 = 0))))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v20 | ~ (unordered_triple(v21, v22, v23) = v24) | ? [v25] : ? [v26] : (in(v25, v20) = v26 & ( ~ (v26 = 0) | ( ~ (v25 = v23) & ~ (v25 = v22) & ~ (v25 = v21))) & (v26 = 0 | v25 = v23 | v25 = v22 | v25 = v21))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (relation_composition(v20, v21) = v22) | ~ (relation(v23) = 0) | ~ (relation(v20) = 0) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (( ~ (v24 = 0) & relation(v21) = v24) | (ordered_pair(v24, v25) = v26 & in(v26, v23) = v27 & ( ~ (v27 = 0) | ! [v33] : ! [v34] : ( ~ (ordered_pair(v24, v33) = v34) | ~ (in(v34, v20) = 0) | ? [v35] : ? [v36] : ( ~ (v36 = 0) & ordered_pair(v33, v25) = v35 & in(v35, v21) = v36))) & (v27 = 0 | (v32 = 0 & v30 = 0 & ordered_pair(v28, v25) = v31 & ordered_pair(v24, v28) = v29 & in(v31, v21) = 0 & in(v29, v20) = 0))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (relation_rng_restriction(v20, v21) = v22) | ~ (relation(v23) = 0) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v24 = 0) & relation(v21) = v24) | (ordered_pair(v24, v25) = v26 & in(v26, v23) = v27 & in(v26, v21) = v29 & in(v25, v20) = v28 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0)) & (v27 = 0 | (v29 = 0 & v28 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (relation_dom_restriction(v20, v21) = v23) | ~ (relation(v22) = 0) | ~ (relation(v20) = 0) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (ordered_pair(v24, v25) = v26 & in(v26, v22) = v27 & in(v26, v20) = v29 & in(v24, v21) = v28 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0)) & (v27 = 0 | (v29 = 0 & v28 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v21 | v23 = v20 | ~ (unordered_pair(v20, v21) = v22) | ~ (in(v23, v22) = 0)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v21 | ~ (subset_complement(v20, v22) = v23) | ~ (subset_complement(v20, v21) = v22) | ? [v24] : ? [v25] : ( ~ (v25 = 0) & element(v21, v24) = v25 & powerset(v20) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v21 | ~ (set_difference(v21, v20) = v22) | ~ (set_union2(v20, v22) = v23) | ? [v24] : ( ~ (v24 = 0) & subset(v20, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v21 | ~ (singleton(v20) = v22) | ~ (set_union2(v22, v21) = v23) | ? [v24] : ( ~ (v24 = 0) & in(v20, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v21 | ~ (apply(v22, v21) = v23) | ~ (identity_relation(v20) = v22) | ? [v24] : ( ~ (v24 = 0) & in(v21, v20) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (set_difference(v20, v22) = v23) | ~ (singleton(v21) = v22) | in(v21, v20) = 0) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (relation_inverse_image(v21, v20) = v22) | ~ (relation_image(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (relation_rng(v21) = v26 & subset(v20, v26) = v27 & relation(v21) = v24 & function(v21) = v25 & ( ~ (v27 = 0) | ~ (v25 = 0) | ~ (v24 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | v20 = empty_set | ~ (set_meet(v20) = v21) | ~ (in(v22, v21) = v23) | ? [v24] : ? [v25] : ( ~ (v25 = 0) & in(v24, v20) = 0 & in(v22, v24) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (being_limit_ordinal(v20) = 0) | ~ (succ(v21) = v22) | ~ (in(v22, v20) = v23) | ? [v24] : ? [v25] : (( ~ (v24 = 0) & ordinal(v20) = v24) | (ordinal(v21) = v24 & in(v21, v20) = v25 & ( ~ (v25 = 0) | ~ (v24 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (set_difference(v20, v21) = v22) | ~ (subset(v22, v20) = v23)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (union(v21) = v22) | ~ (subset(v20, v22) = v23) | ? [v24] : ( ~ (v24 = 0) & in(v20, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (cast_to_subset(v20) = v21) | ~ (element(v21, v22) = v23) | ~ (powerset(v20) = v22)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (disjoint(v22, v21) = v23) | ~ (singleton(v20) = v22) | in(v20, v21) = 0) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (disjoint(v21, v22) = 0) | ~ (disjoint(v20, v22) = v23) | ? [v24] : ( ~ (v24 = 0) & subset(v20, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (element(v20, v22) = v23) | ~ (powerset(v21) = v22) | ? [v24] : ? [v25] : ( ~ (v25 = 0) & in(v24, v21) = v25 & in(v24, v20) = 0)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (element(v20, v22) = v23) | ~ (powerset(v21) = v22) | ? [v24] : ( ~ (v24 = 0) & subset(v20, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (powerset(v20) = v21) | ~ (subset(v22, v20) = v23) | ? [v24] : ( ~ (v24 = 0) & in(v22, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (singleton(v20) = v22) | ~ (subset(v22, v21) = v23) | ? [v24] : ( ~ (v24 = 0) & in(v20, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (relation_rng_restriction(v20, v21) = v22) | ~ (subset(v22, v21) = v23) | ? [v24] : ( ~ (v24 = 0) & relation(v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (relation_dom_restriction(v21, v20) = v22) | ~ (subset(v22, v21) = v23) | ? [v24] : ( ~ (v24 = 0) & relation(v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (subset(v22, v20) = v23) | ~ (set_intersection2(v20, v21) = v22)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (subset(v20, v22) = v23) | ~ (subset(v20, v21) = 0) | ? [v24] : ( ~ (v24 = 0) & subset(v21, v22) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (subset(v20, v22) = v23) | ~ (set_union2(v20, v21) = v22)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (unordered_pair(v20, v21) = v22) | ~ (in(v21, v22) = v23)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (unordered_pair(v20, v21) = v22) | ~ (in(v20, v22) = v23)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v22 = v21 | ~ (singleton(v20) = v23) | ~ (unordered_pair(v21, v22) = v23)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v22 = v21 | ~ (antisymmetric(v20) = 0) | ~ (ordered_pair(v21, v22) = v23) | ~ (in(v23, v20) = 0) | ? [v24] : ? [v25] : (( ~ (v25 = 0) & ordered_pair(v22, v21) = v24 & in(v24, v20) = v25) | ( ~ (v24 = 0) & relation(v20) = v24))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (are_equipotent(v23, v22) = v21) | ~ (are_equipotent(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (meet_of_subsets(v23, v22) = v21) | ~ (meet_of_subsets(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (union_of_subsets(v23, v22) = v21) | ~ (union_of_subsets(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (complements_of_subsets(v23, v22) = v21) | ~ (complements_of_subsets(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (relation_composition(v23, v22) = v21) | ~ (relation_composition(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (relation_restriction(v23, v22) = v21) | ~ (relation_restriction(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (well_orders(v23, v22) = v21) | ~ (well_orders(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (subset_complement(v23, v22) = v21) | ~ (subset_complement(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (set_difference(v23, v22) = v21) | ~ (set_difference(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (is_well_founded_in(v23, v22) = v21) | ~ (is_well_founded_in(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (cartesian_product2(v23, v22) = v21) | ~ (cartesian_product2(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (disjoint(v23, v22) = v21) | ~ (disjoint(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (element(v23, v22) = v21) | ~ (element(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (fiber(v23, v22) = v21) | ~ (fiber(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (is_reflexive_in(v23, v22) = v21) | ~ (is_reflexive_in(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (singleton(v21) = v23) | ~ (singleton(v20) = v22) | ~ (subset(v22, v23) = 0)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (singleton(v20) = v23) | ~ (unordered_pair(v21, v22) = v23)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (is_transitive_in(v23, v22) = v21) | ~ (is_transitive_in(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (is_connected_in(v23, v22) = v21) | ~ (is_connected_in(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (relation_inverse_image(v23, v22) = v21) | ~ (relation_inverse_image(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (is_antisymmetric_in(v23, v22) = v21) | ~ (is_antisymmetric_in(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (relation_rng_restriction(v23, v22) = v21) | ~ (relation_rng_restriction(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (relation_image(v23, v22) = v21) | ~ (relation_image(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (apply(v23, v22) = v21) | ~ (apply(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (relation_dom_restriction(v23, v22) = v21) | ~ (relation_dom_restriction(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (subset(v23, v22) = v21) | ~ (subset(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (ordered_pair(v23, v22) = v21) | ~ (ordered_pair(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (ordinal_subset(v23, v22) = v21) | ~ (ordinal_subset(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (set_intersection2(v23, v22) = v21) | ~ (set_intersection2(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (set_union2(v23, v22) = v21) | ~ (set_union2(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (unordered_pair(v23, v22) = v21) | ~ (unordered_pair(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (proper_subset(v23, v22) = v21) | ~ (proper_subset(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (in(v23, v22) = v21) | ~ (in(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = empty_set | ~ (element(v21, v23) = 0) | ~ (powerset(v22) = v23) | ~ (powerset(v20) = v22) | ? [v24] : ( ~ (v24 = empty_set) & complements_of_subsets(v20, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (relation_composition(v22, v21) = v23) | ~ (identity_relation(v20) = v22) | ? [v24] : ? [v25] : (relation_dom_restriction(v21, v20) = v25 & relation(v21) = v24 & ( ~ (v24 = 0) | v25 = v23))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (relation_rng(v21) = v22) | ~ (set_intersection2(v22, v20) = v23) | ? [v24] : ? [v25] : ? [v26] : (relation_rng(v25) = v26 & relation_rng_restriction(v20, v21) = v25 & relation(v21) = v24 & ( ~ (v24 = 0) | v26 = v23))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (relation_rng(v20) = v22) | ~ (relation_dom(v20) = v21) | ~ (set_union2(v21, v22) = v23) | ? [v24] : ? [v25] : (relation_field(v20) = v25 & relation(v20) = v24 & ( ~ (v24 = 0) | v25 = v23))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (relation_rng(v20) = v21) | ~ (relation_image(v22, v21) = v23) | ? [v24] : ? [v25] : ? [v26] : (( ~ (v24 = 0) & relation(v20) = v24) | (relation_composition(v20, v22) = v25 & relation_rng(v25) = v26 & relation(v22) = v24 & ( ~ (v24 = 0) | v26 = v23)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (set_difference(v22, v21) = v23) | ~ (set_union2(v20, v21) = v22) | set_difference(v20, v21) = v23) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (set_difference(v21, v20) = v22) | ~ (set_union2(v20, v22) = v23) | set_union2(v20, v21) = v23) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (set_difference(v20, v22) = v23) | ~ (set_difference(v20, v21) = v22) | set_intersection2(v20, v21) = v23) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (set_difference(v20, v21) = v22) | ~ (in(v23, v20) = 0) | ? [v24] : ? [v25] : (in(v23, v22) = v25 & in(v23, v21) = v24 & (v25 = 0 | v24 = 0))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (cartesian_product2(v21, v21) = v22) | ~ (set_intersection2(v20, v22) = v23) | ~ (relation(v20) = 0) | relation_restriction(v20, v21) = v23) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (cartesian_product2(v20, v21) = v22) | ~ (in(v23, v22) = 0) | ? [v24] : ? [v25] : (ordered_pair(v24, v25) = v23 & in(v25, v21) = 0 & in(v24, v20) = 0)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (element(v23, v22) = 0) | ~ (element(v21, v22) = 0) | ~ (powerset(v20) = v22) | ? [v24] : ? [v25] : ? [v26] : (subset_complement(v20, v23) = v25 & disjoint(v21, v23) = v24 & subset(v21, v25) = v26 & ( ~ (v26 = 0) | v24 = 0) & ( ~ (v24 = 0) | v26 = 0))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (element(v22, v23) = 0) | ~ (element(v21, v23) = 0) | ~ (powerset(v20) = v23) | ? [v24] : (subset_difference(v20, v21, v22) = v24 & set_difference(v21, v22) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (element(v22, v23) = 0) | ~ (powerset(v20) = v23) | ~ (in(v21, v22) = 0) | ? [v24] : ? [v25] : ( ~ (v25 = 0) & subset_complement(v20, v22) = v24 & in(v21, v24) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (element(v21, v23) = 0) | ~ (powerset(v22) = v23) | ~ (powerset(v20) = v22) | ? [v24] : (meet_of_subsets(v20, v21) = v24 & set_meet(v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (element(v21, v23) = 0) | ~ (powerset(v22) = v23) | ~ (powerset(v20) = v22) | ? [v24] : (union_of_subsets(v20, v21) = v24 & union(v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (element(v21, v23) = 0) | ~ (powerset(v22) = v23) | ~ (powerset(v20) = v22) | ? [v24] : (complements_of_subsets(v20, v24) = v21 & complements_of_subsets(v20, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (element(v21, v23) = 0) | ~ (powerset(v22) = v23) | ~ (powerset(v20) = v22) | ? [v24] : (complements_of_subsets(v20, v21) = v24 & ! [v25] : (v25 = v24 | ~ (element(v25, v23) = 0) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (subset_complement(v20, v26) = v28 & element(v26, v22) = 0 & in(v28, v21) = v29 & in(v26, v25) = v27 & ( ~ (v29 = 0) | ~ (v27 = 0)) & (v29 = 0 | v27 = 0))) & ! [v25] : ( ~ (element(v25, v22) = 0) | ~ (element(v24, v23) = 0) | ? [v26] : ? [v27] : ? [v28] : (subset_complement(v20, v25) = v27 & in(v27, v21) = v28 & in(v25, v24) = v26 & ( ~ (v28 = 0) | v26 = 0) & ( ~ (v26 = 0) | v28 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (element(v21, v23) = 0) | ~ (powerset(v22) = v23) | ~ (in(v20, v21) = 0) | ? [v24] : ( ~ (v24 = 0) & empty(v22) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (succ(v20) = v21) | ~ (ordinal_subset(v21, v22) = v23) | ? [v24] : ? [v25] : (( ~ (v24 = 0) & ordinal(v20) = v24) | (ordinal(v22) = v24 & in(v20, v22) = v25 & ( ~ (v24 = 0) | (( ~ (v25 = 0) | v23 = 0) & ( ~ (v23 = 0) | v25 = 0)))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (relation_inverse_image(v20, v21) = v22) | ~ (relation(v20) = 0) | ~ (in(v23, v22) = 0) | ? [v24] : ? [v25] : (ordered_pair(v23, v24) = v25 & in(v25, v20) = 0 & in(v24, v21) = 0)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (relation_rng_restriction(v20, v22) = v23) | ~ (relation_dom_restriction(v21, v20) = v22) | ? [v24] : ? [v25] : (relation_restriction(v21, v20) = v25 & relation(v21) = v24 & ( ~ (v24 = 0) | v25 = v23))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (relation_rng_restriction(v20, v21) = v22) | ~ (relation_dom_restriction(v22, v20) = v23) | ? [v24] : ? [v25] : (relation_restriction(v21, v20) = v25 & relation(v21) = v24 & ( ~ (v24 = 0) | v25 = v23))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (relation_dom(v21) = v22) | ~ (set_intersection2(v22, v20) = v23) | ? [v24] : ? [v25] : ? [v26] : (relation_dom(v25) = v26 & relation_dom_restriction(v21, v20) = v25 & relation(v21) = v24 & ( ~ (v24 = 0) | v26 = v23))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (relation_dom(v21) = v22) | ~ (in(v20, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : (apply(v21, v20) = v26 & relation(v21) = v24 & function(v21) = v25 & ( ~ (v25 = 0) | ~ (v24 = 0) | ! [v27] : ! [v28] : ! [v29] : ( ~ (v23 = 0) | ~ (relation_composition(v21, v27) = v28) | ~ (apply(v28, v20) = v29) | ? [v30] : ? [v31] : ? [v32] : (apply(v27, v26) = v32 & relation(v27) = v30 & function(v27) = v31 & ( ~ (v31 = 0) | ~ (v30 = 0) | v32 = v29)))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (relation_image(v20, v21) = v22) | ~ (relation(v20) = 0) | ~ (in(v23, v22) = 0) | ? [v24] : ? [v25] : (ordered_pair(v24, v23) = v25 & in(v25, v20) = 0 & in(v24, v21) = 0)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (subset(v23, v22) = 0) | ~ (unordered_pair(v20, v21) = v23) | (in(v21, v22) = 0 & in(v20, v22) = 0)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (set_intersection2(v20, v21) = v22) | ~ (in(v23, v20) = 0) | ? [v24] : ? [v25] : (in(v23, v22) = v25 & in(v23, v21) = v24 & ( ~ (v24 = 0) | v25 = 0))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (set_difference(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (in(v24, v22) = v27 & in(v24, v21) = v26 & in(v24, v20) = v25 & ( ~ (v26 = 0) | ~ (v25 = 0) | v27 = 0) & (v25 = 0 | (v26 = 0 & ~ (v27 = 0))))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (cartesian_product2(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (in(v24, v20) = v25 & ( ~ (v25 = 0) | ! [v31] : ! [v32] : ( ~ (ordered_pair(v31, v32) = v24) | ? [v33] : ? [v34] : (in(v32, v22) = v34 & in(v31, v21) = v33 & ( ~ (v34 = 0) | ~ (v33 = 0))))) & (v25 = 0 | (v30 = v24 & v29 = 0 & v28 = 0 & ordered_pair(v26, v27) = v24 & in(v27, v22) = 0 & in(v26, v21) = 0)))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (fiber(v21, v22) = v23) | ~ (relation(v21) = 0) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (ordered_pair(v24, v22) = v26 & in(v26, v21) = v27 & in(v24, v20) = v25 & ( ~ (v27 = 0) | ~ (v25 = 0) | v24 = v22) & (v25 = 0 | (v27 = 0 & ~ (v24 = v22))))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (relation_inverse_image(v21, v22) = v23) | ~ (relation(v21) = 0) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (in(v24, v20) = v25 & ( ~ (v25 = 0) | ! [v30] : ! [v31] : ( ~ (ordered_pair(v24, v30) = v31) | ~ (in(v31, v21) = 0) | ? [v32] : ( ~ (v32 = 0) & in(v30, v22) = v32))) & (v25 = 0 | (v29 = 0 & v28 = 0 & ordered_pair(v24, v26) = v27 & in(v27, v21) = 0 & in(v26, v22) = 0)))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (relation_image(v21, v22) = v23) | ~ (relation(v21) = 0) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (in(v24, v20) = v25 & ( ~ (v25 = 0) | ! [v30] : ! [v31] : ( ~ (ordered_pair(v30, v24) = v31) | ~ (in(v31, v21) = 0) | ? [v32] : ( ~ (v32 = 0) & in(v30, v22) = v32))) & (v25 = 0 | (v29 = 0 & v28 = 0 & ordered_pair(v26, v24) = v27 & in(v27, v21) = 0 & in(v26, v22) = 0)))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (set_intersection2(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (in(v24, v22) = v27 & in(v24, v21) = v26 & in(v24, v20) = v25 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0)) & (v25 = 0 | (v27 = 0 & v26 = 0)))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (set_union2(v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (in(v24, v22) = v27 & in(v24, v21) = v26 & in(v24, v20) = v25 & ( ~ (v25 = 0) | ( ~ (v27 = 0) & ~ (v26 = 0))) & (v27 = 0 | v26 = 0 | v25 = 0))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (unordered_pair(v21, v22) = v23) | ? [v24] : ? [v25] : (in(v24, v20) = v25 & ( ~ (v25 = 0) | ( ~ (v24 = v22) & ~ (v24 = v21))) & (v25 = 0 | v24 = v22 | v24 = v21))) & ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (relation_inverse(v20) = v21) | ~ (relation(v22) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (( ~ (v23 = 0) & relation(v20) = v23) | (ordered_pair(v24, v23) = v27 & ordered_pair(v23, v24) = v25 & in(v27, v20) = v28 & in(v25, v22) = v26 & ( ~ (v28 = 0) | ~ (v26 = 0)) & (v28 = 0 | v26 = 0)))) & ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (identity_relation(v20) = v22) | ~ (relation(v21) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (ordered_pair(v23, v24) = v25 & in(v25, v21) = v26 & in(v23, v20) = v27 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v24 = v23)) & (v26 = 0 | (v27 = 0 & v24 = v23)))) & ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (set_union2(v20, v21) = v22) | ? [v23] : ( ~ (v23 = 0) & subset(v20, v21) = v23)) & ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (epsilon_connected(v20) = 0) | ~ (in(v22, v20) = 0) | ~ (in(v21, v20) = 0) | ? [v23] : ? [v24] : (in(v22, v21) = v24 & in(v21, v22) = v23 & (v24 = 0 | v23 = 0))) & ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | v20 = empty_set | ~ (singleton(v21) = v22) | ~ (subset(v20, v22) = 0)) & ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (singleton(v20) = v21) | ~ (in(v22, v21) = 0)) & ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (set_intersection2(v20, v21) = v22) | ? [v23] : ( ~ (v23 = 0) & subset(v20, v21) = v23)) & ! [v20] : ! [v21] : ! [v22] : (v22 = empty_set | ~ (set_difference(v20, v21) = v22) | ? [v23] : ( ~ (v23 = 0) & subset(v20, v21) = v23)) & ! [v20] : ! [v21] : ! [v22] : (v22 = empty_set | ~ (is_well_founded_in(v20, v21) = 0) | ~ (subset(v22, v21) = 0) | ~ (relation(v20) = 0) | ? [v23] : ? [v24] : (disjoint(v24, v22) = 0 & fiber(v20, v23) = v24 & in(v23, v22) = 0)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | v21 = v20 | ~ (proper_subset(v20, v21) = v22) | ? [v23] : ( ~ (v23 = 0) & subset(v20, v21) = v23)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (well_orders(v20, v21) = v22) | ~ (relation(v20) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (is_well_founded_in(v20, v21) = v27 & is_reflexive_in(v20, v21) = v23 & is_transitive_in(v20, v21) = v24 & is_connected_in(v20, v21) = v26 & is_antisymmetric_in(v20, v21) = v25 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0)))) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (is_well_founded_in(v20, v21) = v22) | ~ (relation(v20) = 0) | ? [v23] : ( ~ (v23 = empty_set) & subset(v23, v21) = 0 & ! [v24] : ! [v25] : ( ~ (disjoint(v25, v23) = 0) | ~ (fiber(v20, v24) = v25) | ? [v26] : ( ~ (v26 = 0) & in(v24, v23) = v26)))) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (disjoint(v20, v21) = v22) | ? [v23] : ? [v24] : (set_intersection2(v20, v21) = v23 & in(v24, v23) = 0)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (disjoint(v20, v21) = v22) | ? [v23] : ( ~ (v23 = v20) & set_difference(v20, v21) = v23)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (disjoint(v20, v21) = v22) | ? [v23] : ( ~ (v23 = empty_set) & set_intersection2(v20, v21) = v23)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (disjoint(v20, v21) = v22) | ? [v23] : (in(v23, v21) = 0 & in(v23, v20) = 0)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (element(v20, v21) = v22) | ? [v23] : ( ~ (v23 = 0) & in(v20, v21) = v23)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (is_reflexive_in(v20, v21) = v22) | ~ (relation(v20) = 0) | ? [v23] : ? [v24] : ? [v25] : ( ~ (v25 = 0) & ordered_pair(v23, v23) = v24 & in(v24, v20) = v25 & in(v23, v21) = 0)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (singleton(v21) = v20) | ~ (subset(v20, v20) = v22)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (singleton(v20) = v21) | ~ (subset(empty_set, v21) = v22)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (singleton(v20) = v21) | ~ (in(v20, v21) = v22)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (succ(v20) = v21) | ~ (in(v20, v21) = v22)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (is_transitive_in(v20, v21) = v22) | ~ (relation(v20) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ( ~ (v29 = 0) & ordered_pair(v24, v25) = v27 & ordered_pair(v23, v25) = v28 & ordered_pair(v23, v24) = v26 & in(v28, v20) = v29 & in(v27, v20) = 0 & in(v26, v20) = 0 & in(v25, v21) = 0 & in(v24, v21) = 0 & in(v23, v21) = 0)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (is_connected_in(v20, v21) = v22) | ~ (relation(v20) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ( ~ (v28 = 0) & ~ (v26 = 0) & ~ (v24 = v23) & ordered_pair(v24, v23) = v27 & ordered_pair(v23, v24) = v25 & in(v27, v20) = v28 & in(v25, v20) = v26 & in(v24, v21) = 0 & in(v23, v21) = 0)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (is_antisymmetric_in(v20, v21) = v22) | ~ (relation(v20) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ( ~ (v24 = v23) & ordered_pair(v24, v23) = v26 & ordered_pair(v23, v24) = v25 & in(v26, v20) = 0 & in(v25, v20) = 0 & in(v24, v21) = 0 & in(v23, v21) = 0)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (subset(v21, v20) = v22) | ~ (epsilon_transitive(v20) = 0) | ? [v23] : ( ~ (v23 = 0) & in(v21, v20) = v23)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (subset(v20, v21) = v22) | ~ (relation(v20) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v26 = 0 & ~ (v27 = 0) & ordered_pair(v23, v24) = v25 & in(v25, v21) = v27 & in(v25, v20) = 0) | ( ~ (v23 = 0) & relation(v21) = v23))) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (subset(v20, v21) = v22) | ? [v23] : ? [v24] : ( ~ (v24 = 0) & in(v23, v21) = v24 & in(v23, v20) = 0)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (ordinal_subset(v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : (ordinal_subset(v21, v20) = v25 & ordinal(v21) = v24 & ordinal(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | v25 = 0))) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (ordinal_subset(v20, v20) = v22) | ~ (ordinal(v21) = 0) | ? [v23] : ( ~ (v23 = 0) & ordinal(v20) = v23)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (ordinal(v21) = 0) | ~ (ordinal(v20) = v22) | ? [v23] : ( ~ (v23 = 0) & in(v20, v21) = v23)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (relation_empty_yielding(v22) = v21) | ~ (relation_empty_yielding(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (function_inverse(v22) = v21) | ~ (function_inverse(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (relation_inverse(v22) = v21) | ~ (relation_inverse(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (being_limit_ordinal(v22) = v21) | ~ (being_limit_ordinal(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (relation_rng(v22) = v21) | ~ (relation_rng(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (well_ordering(v22) = v21) | ~ (well_ordering(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (reflexive(v22) = v21) | ~ (reflexive(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (union(v22) = v21) | ~ (union(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (cast_to_subset(v22) = v21) | ~ (cast_to_subset(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (well_founded_relation(v22) = v21) | ~ (well_founded_relation(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (powerset(v22) = v21) | ~ (powerset(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (set_meet(v22) = v21) | ~ (set_meet(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (singleton(v22) = v21) | ~ (singleton(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (succ(v22) = v21) | ~ (succ(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (transitive(v22) = v21) | ~ (transitive(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (connected(v22) = v21) | ~ (connected(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (relation_field(v22) = v21) | ~ (relation_field(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (antisymmetric(v22) = v21) | ~ (antisymmetric(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (relation_dom(v22) = v21) | ~ (relation_dom(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (identity_relation(v22) = v21) | ~ (identity_relation(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (one_to_one(v22) = v21) | ~ (one_to_one(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (relation(v22) = v21) | ~ (relation(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (epsilon_connected(v22) = v21) | ~ (epsilon_connected(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (ordinal(v22) = v21) | ~ (ordinal(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (epsilon_transitive(v22) = v21) | ~ (epsilon_transitive(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (function(v22) = v21) | ~ (function(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (empty(v22) = v21) | ~ (empty(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v20 = empty_set | ~ (relation_rng(v21) = v22) | ~ (subset(v20, v22) = 0) | ? [v23] : ? [v24] : (relation_inverse_image(v21, v20) = v24 & relation(v21) = v23 & ( ~ (v24 = empty_set) | ~ (v23 = 0)))) & ! [v20] : ! [v21] : ! [v22] : (v20 = empty_set | ~ (element(v22, v21) = 0) | ~ (powerset(v20) = v21) | ? [v23] : (subset_complement(v20, v22) = v23 & ! [v24] : ! [v25] : (v25 = 0 | ~ (in(v24, v23) = v25) | ? [v26] : ? [v27] : (element(v24, v20) = v26 & in(v24, v22) = v27 & ( ~ (v26 = 0) | v27 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_composition(v21, v20) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (relation(v22) = v26 & relation(v21) = v24 & empty(v22) = v25 & empty(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | (v26 = 0 & v25 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_composition(v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (relation(v22) = v27 & relation(v21) = v25 & relation(v20) = v23 & function(v22) = v28 & function(v21) = v26 & function(v20) = v24 & ( ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | (v28 = 0 & v27 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_composition(v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (relation(v22) = v26 & relation(v21) = v24 & empty(v22) = v25 & empty(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | (v26 = 0 & v25 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_composition(v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : (relation(v22) = v25 & relation(v21) = v24 & relation(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | v25 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_restriction(v21, v20) = v22) | ? [v23] : ? [v24] : ? [v25] : (reflexive(v22) = v25 & reflexive(v21) = v24 & relation(v21) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | v25 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_restriction(v21, v20) = v22) | ? [v23] : ? [v24] : ? [v25] : (transitive(v22) = v25 & transitive(v21) = v24 & relation(v21) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | v25 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_restriction(v21, v20) = v22) | ? [v23] : ? [v24] : ? [v25] : (connected(v22) = v25 & connected(v21) = v24 & relation(v21) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | v25 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_restriction(v20, v21) = v22) | ? [v23] : ? [v24] : (relation(v22) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | v24 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (well_orders(v20, v21) = v22) | ~ (relation_field(v20) = v21) | ? [v23] : ? [v24] : (well_ordering(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_rng(v20) = v21) | ~ (in(v22, v21) = 0) | ? [v23] : ? [v24] : ? [v25] : ((v25 = 0 & ordered_pair(v23, v22) = v24 & in(v24, v20) = 0) | ( ~ (v23 = 0) & relation(v20) = v23))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (set_difference(v20, v22) = v20) | ~ (singleton(v21) = v22) | ? [v23] : ( ~ (v23 = 0) & in(v21, v20) = v23)) & ! [v20] : ! [v21] : ! [v22] : ( ~ (set_difference(v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : (relation(v22) = v25 & relation(v21) = v24 & relation(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | v25 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (union(v20) = v21) | ~ (in(v22, v21) = 0) | ? [v23] : (in(v23, v20) = 0 & in(v22, v23) = 0)) & ! [v20] : ! [v21] : ! [v22] : ( ~ (is_well_founded_in(v20, v21) = v22) | ~ (relation_field(v20) = v21) | ? [v23] : ? [v24] : (well_founded_relation(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (cartesian_product2(v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : (empty(v22) = v25 & empty(v21) = v24 & empty(v20) = v23 & ( ~ (v25 = 0) | v24 = 0 | v23 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (disjoint(v22, v21) = 0) | ~ (singleton(v20) = v22) | ? [v23] : ( ~ (v23 = 0) & in(v20, v21) = v23)) & ! [v20] : ! [v21] : ! [v22] : ( ~ (disjoint(v20, v21) = 0) | ~ (in(v22, v20) = 0) | ? [v23] : ( ~ (v23 = 0) & in(v22, v21) = v23)) & ! [v20] : ! [v21] : ! [v22] : ( ~ (element(v21, v22) = 0) | ~ (powerset(v20) = v22) | ? [v23] : (subset_complement(v20, v21) = v23 & set_difference(v20, v21) = v23)) & ! [v20] : ! [v21] : ! [v22] : ( ~ (element(v21, v20) = v22) | ? [v23] : ? [v24] : (empty(v21) = v24 & empty(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (element(v21, v20) = v22) | ? [v23] : ? [v24] : (empty(v20) = v23 & in(v21, v20) = v24 & (v23 = 0 | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (element(v20, v22) = 0) | ~ (powerset(v21) = v22) | subset(v20, v21) = 0) & ! [v20] : ! [v21] : ! [v22] : ( ~ (powerset(v20) = v21) | ~ (subset(v22, v20) = 0) | in(v22, v21) = 0) & ! [v20] : ! [v21] : ! [v22] : ( ~ (is_reflexive_in(v20, v21) = v22) | ~ (relation_field(v20) = v21) | ? [v23] : ? [v24] : (reflexive(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (singleton(v20) = v22) | ~ (subset(v22, v21) = 0) | in(v20, v21) = 0) & ! [v20] : ! [v21] : ! [v22] : ( ~ (singleton(v20) = v21) | ~ (set_union2(v20, v21) = v22) | succ(v20) = v22) & ! [v20] : ! [v21] : ! [v22] : ( ~ (is_transitive_in(v20, v21) = v22) | ~ (relation_field(v20) = v21) | ? [v23] : ? [v24] : (transitive(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (is_connected_in(v20, v21) = v22) | ~ (relation_field(v20) = v21) | ? [v23] : ? [v24] : (connected(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_field(v20) = v21) | ~ (is_antisymmetric_in(v20, v21) = v22) | ? [v23] : ? [v24] : (antisymmetric(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = 0) | v22 = 0) & ( ~ (v22 = 0) | v24 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_rng_restriction(v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (relation(v22) = v25 & relation(v21) = v23 & function(v22) = v26 & function(v21) = v24 & ( ~ (v24 = 0) | ~ (v23 = 0) | (v26 = 0 & v25 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_rng_restriction(v20, v21) = v22) | ? [v23] : ? [v24] : (relation(v22) = v24 & relation(v21) = v23 & ( ~ (v23 = 0) | v24 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_dom(v20) = v21) | ~ (relation_image(v20, v21) = v22) | ? [v23] : ? [v24] : (relation_rng(v20) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | v24 = v22))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_dom(v20) = v21) | ~ (in(v22, v21) = 0) | ? [v23] : ? [v24] : ? [v25] : ((v25 = 0 & ordered_pair(v22, v23) = v24 & in(v24, v20) = 0) | ( ~ (v23 = 0) & relation(v20) = v23))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_dom_restriction(v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (relation_empty_yielding(v22) = v26 & relation_empty_yielding(v20) = v24 & relation(v22) = v25 & relation(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | (v26 = 0 & v25 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_dom_restriction(v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (relation(v22) = v25 & relation(v20) = v23 & function(v22) = v26 & function(v20) = v24 & ( ~ (v24 = 0) | ~ (v23 = 0) | (v26 = 0 & v25 = 0)))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (relation_dom_restriction(v20, v21) = v22) | ? [v23] : ? [v24] : (relation(v22) = v24 & relation(v20) = v23 & ( ~ (v23 = 0) | v24 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (subset(v20, v21) = 0) | ~ (in(v22, v20) = 0) | in(v22, v21) = 0) & ! [v20] : ! [v21] : ! [v22] : ( ~ (identity_relation(v20) = v22) | ~ (function(v21) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (relation_dom(v21) = v24 & relation(v21) = v23 & ( ~ (v23 = 0) | (( ~ (v24 = v20) | v22 = v21 | (v26 = 0 & ~ (v27 = v25) & apply(v21, v25) = v27 & in(v25, v20) = 0)) & ( ~ (v22 = v21) | (v24 = v20 & ! [v28] : ! [v29] : (v29 = v28 | ~ (apply(v21, v28) = v29) | ? [v30] : ( ~ (v30 = 0) & in(v28, v20) = v30)))))))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (ordered_pair(v20, v21) = v22) | ? [v23] : ( ~ (v23 = 0) & empty(v22) = v23)) & ! [v20] : ! [v21] : ! [v22] : ( ~ (ordinal_subset(v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : (subset(v20, v21) = v25 & ordinal(v21) = v24 & ordinal(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | (( ~ (v25 = 0) | v22 = 0) & ( ~ (v22 = 0) | v25 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (set_intersection2(v20, v21) = v22) | set_intersection2(v21, v20) = v22) & ! [v20] : ! [v21] : ! [v22] : ( ~ (set_intersection2(v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : (relation(v22) = v25 & relation(v21) = v24 & relation(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | v25 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (set_union2(v21, v20) = v22) | ? [v23] : ? [v24] : (empty(v22) = v24 & empty(v20) = v23 & ( ~ (v24 = 0) | v23 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (set_union2(v20, v21) = v22) | set_union2(v21, v20) = v22) & ! [v20] : ! [v21] : ! [v22] : ( ~ (set_union2(v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : (relation(v22) = v25 & relation(v21) = v24 & relation(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | v25 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (set_union2(v20, v21) = v22) | ? [v23] : ? [v24] : (empty(v22) = v24 & empty(v20) = v23 & ( ~ (v24 = 0) | v23 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (unordered_pair(v20, v21) = v22) | unordered_pair(v21, v20) = v22) & ! [v20] : ! [v21] : ! [v22] : ( ~ (unordered_pair(v20, v21) = v22) | ? [v23] : ( ~ (v23 = 0) & empty(v22) = v23)) & ! [v20] : ! [v21] : ! [v22] : ( ~ (in(v21, v22) = 0) | ~ (in(v20, v21) = 0) | ? [v23] : ( ~ (v23 = 0) & in(v22, v20) = v23)) & ? [v20] : ! [v21] : ! [v22] : (v22 = v20 | v21 = empty_set | ~ (set_meet(v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (in(v23, v20) = v24 & ( ~ (v24 = 0) | (v26 = 0 & ~ (v27 = 0) & in(v25, v21) = 0 & in(v23, v25) = v27)) & (v24 = 0 | ! [v28] : ! [v29] : (v29 = 0 | ~ (in(v23, v28) = v29) | ? [v30] : ( ~ (v30 = 0) & in(v28, v21) = v30))))) & ? [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (relation_rng(v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v23 = 0) & relation(v21) = v23) | (in(v23, v20) = v24 & ( ~ (v24 = 0) | ! [v28] : ! [v29] : ( ~ (ordered_pair(v28, v23) = v29) | ~ (in(v29, v21) = 0))) & (v24 = 0 | (v27 = 0 & ordered_pair(v25, v23) = v26 & in(v26, v21) = 0))))) & ? [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (union(v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (in(v23, v20) = v24 & ( ~ (v24 = 0) | ! [v28] : ( ~ (in(v23, v28) = 0) | ? [v29] : ( ~ (v29 = 0) & in(v28, v21) = v29))) & (v24 = 0 | (v27 = 0 & v26 = 0 & in(v25, v21) = 0 & in(v23, v25) = 0)))) & ? [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (powerset(v21) = v22) | ? [v23] : ? [v24] : ? [v25] : (subset(v23, v21) = v25 & in(v23, v20) = v24 & ( ~ (v25 = 0) | ~ (v24 = 0)) & (v25 = 0 | v24 = 0))) & ? [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (singleton(v21) = v22) | ? [v23] : ? [v24] : (in(v23, v20) = v24 & ( ~ (v24 = 0) | ~ (v23 = v21)) & (v24 = 0 | v23 = v21))) & ? [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (relation_dom(v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v23 = 0) & relation(v21) = v23) | (in(v23, v20) = v24 & ( ~ (v24 = 0) | ! [v28] : ! [v29] : ( ~ (ordered_pair(v23, v28) = v29) | ~ (in(v29, v21) = 0))) & (v24 = 0 | (v27 = 0 & ordered_pair(v23, v25) = v26 & in(v26, v21) = 0))))) & ! [v20] : ! [v21] : (v21 = v20 | ~ (set_difference(v20, empty_set) = v21)) & ! [v20] : ! [v21] : (v21 = v20 | ~ (cast_to_subset(v20) = v21)) & ! [v20] : ! [v21] : (v21 = v20 | ~ (subset(v20, v21) = 0) | ? [v22] : ( ~ (v22 = 0) & subset(v21, v20) = v22)) & ! [v20] : ! [v21] : (v21 = v20 | ~ (set_intersection2(v20, v20) = v21)) & ! [v20] : ! [v21] : (v21 = v20 | ~ (set_union2(v20, v20) = v21)) & ! [v20] : ! [v21] : (v21 = v20 | ~ (set_union2(v20, empty_set) = v21)) & ! [v20] : ! [v21] : (v21 = v20 | ~ (relation(v21) = 0) | ~ (relation(v20) = 0) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (ordered_pair(v22, v23) = v24 & in(v24, v21) = v26 & in(v24, v20) = v25 & ( ~ (v26 = 0) | ~ (v25 = 0)) & (v26 = 0 | v25 = 0))) & ! [v20] : ! [v21] : (v21 = v20 | ~ (ordinal(v21) = 0) | ~ (ordinal(v20) = 0) | ? [v22] : ? [v23] : (in(v21, v20) = v23 & in(v20, v21) = v22 & (v23 = 0 | v22 = 0))) & ! [v20] : ! [v21] : (v21 = v20 | ~ (empty(v21) = 0) | ~ (empty(v20) = 0)) & ! [v20] : ! [v21] : (v21 = empty_set | ~ (set_difference(empty_set, v20) = v21)) & ! [v20] : ! [v21] : (v21 = empty_set | ~ (set_intersection2(v20, empty_set) = v21)) & ! [v20] : ! [v21] : (v21 = 0 | ~ (being_limit_ordinal(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v24 = 0 & v23 = 0 & ~ (v26 = 0) & succ(v22) = v25 & ordinal(v22) = 0 & in(v25, v20) = v26 & in(v22, v20) = 0) | ( ~ (v22 = 0) & ordinal(v20) = v22))) & ! [v20] : ! [v21] : (v21 = 0 | ~ (being_limit_ordinal(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ((v24 = v20 & v23 = 0 & succ(v22) = v20 & ordinal(v22) = 0) | ( ~ (v22 = 0) & ordinal(v20) = v22))) & ! [v20] : ! [v21] : (v21 = 0 | ~ (being_limit_ordinal(v20) = v21) | ? [v22] : ( ~ (v22 = v20) & union(v20) = v22)) & ! [v20] : ! [v21] : (v21 = 0 | ~ (transitive(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v28 = 0 & v26 = 0 & ~ (v30 = 0) & ordered_pair(v23, v24) = v27 & ordered_pair(v22, v24) = v29 & ordered_pair(v22, v23) = v25 & in(v29, v20) = v30 & in(v27, v20) = 0 & in(v25, v20) = 0) | ( ~ (v22 = 0) & relation(v20) = v22))) & ! [v20] : ! [v21] : (v21 = 0 | ~ (antisymmetric(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v27 = 0 & v25 = 0 & ~ (v23 = v22) & ordered_pair(v23, v22) = v26 & ordered_pair(v22, v23) = v24 & in(v26, v20) = 0 & in(v24, v20) = 0) | ( ~ (v22 = 0) & relation(v20) = v22))) & ! [v20] : ! [v21] : (v21 = 0 | ~ (subset(v20, v20) = v21)) & ! [v20] : ! [v21] : (v21 = 0 | ~ (subset(empty_set, v20) = v21)) & ! [v20] : ! [v21] : (v21 = 0 | ~ (relation(v20) = v21) | ? [v22] : (in(v22, v20) = 0 & ! [v23] : ! [v24] : ~ (ordered_pair(v23, v24) = v22))) & ! [v20] : ! [v21] : (v21 = 0 | ~ (epsilon_connected(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ( ~ (v25 = 0) & ~ (v24 = 0) & ~ (v23 = v22) & in(v23, v22) = v25 & in(v23, v20) = 0 & in(v22, v23) = v24 & in(v22, v20) = 0)) & ! [v20] : ! [v21] : (v21 = 0 | ~ (ordinal(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : (subset(v22, v20) = v24 & ordinal(v22) = v23 & in(v22, v20) = 0 & ( ~ (v24 = 0) | ~ (v23 = 0)))) & ! [v20] : ! [v21] : (v21 = 0 | ~ (epsilon_transitive(v20) = v21) | ? [v22] : ? [v23] : ( ~ (v23 = 0) & subset(v22, v20) = v23 & in(v22, v20) = 0)) & ! [v20] : ! [v21] : (v21 = 0 | ~ (function(v20) = v21) | ? [v22] : ( ~ (v22 = 0) & empty(v20) = v22)) & ! [v20] : ! [v21] : (v21 = 0 | ~ (empty(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ( ~ (v24 = 0) & element(v23, v22) = 0 & powerset(v20) = v22 & empty(v23) = v24)) & ! [v20] : ! [v21] : (v21 = 0 | ~ (empty(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : (relation_dom(v20) = v23 & relation(v20) = v22 & empty(v23) = v24 & ( ~ (v24 = 0) | ~ (v22 = 0)))) & ! [v20] : ! [v21] : (v20 = empty_set | ~ (relation_rng(v20) = v21) | ? [v22] : ? [v23] : (relation_dom(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | ( ~ (v23 = empty_set) & ~ (v21 = empty_set))))) & ! [v20] : ! [v21] : (v20 = empty_set | ~ (subset(v20, v21) = 0) | ? [v22] : ? [v23] : ? [v24] : ((v24 = 0 & v23 = 0 & ordinal(v22) = 0 & in(v22, v20) = 0 & ! [v25] : ! [v26] : (v26 = 0 | ~ (ordinal_subset(v22, v25) = v26) | ? [v27] : ? [v28] : (ordinal(v25) = v27 & in(v25, v20) = v28 & ( ~ (v28 = 0) | ~ (v27 = 0))))) | ( ~ (v22 = 0) & ordinal(v21) = v22))) & ! [v20] : ! [v21] : ( ~ (function_inverse(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (relation_rng(v21) = v28 & relation_rng(v20) = v25 & relation_dom(v21) = v26 & relation_dom(v20) = v27 & one_to_one(v20) = v24 & relation(v20) = v22 & function(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | (v28 = v27 & v26 = v25)))) & ! [v20] : ! [v21] : ( ~ (function_inverse(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (relation_rng(v20) = v25 & relation_dom(v20) = v26 & one_to_one(v20) = v24 & relation(v20) = v22 & function(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ! [v27] : ( ~ (function(v27) = 0) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : (relation_dom(v27) = v29 & relation(v27) = v28 & ( ~ (v28 = 0) | (( ~ (v29 = v25) | v27 = v21 | (apply(v27, v30) = v33 & apply(v20, v31) = v35 & in(v31, v26) = v34 & in(v30, v25) = v32 & ((v35 = v30 & v34 = 0 & ( ~ (v33 = v31) | ~ (v32 = 0))) | (v33 = v31 & v32 = 0 & ( ~ (v35 = v30) | ~ (v34 = 0)))))) & ( ~ (v27 = v21) | (v29 = v25 & ! [v36] : ! [v37] : ! [v38] : ( ~ (in(v37, v26) = v38) | ~ (in(v36, v25) = 0) | ? [v39] : ? [v40] : (apply(v21, v36) = v39 & apply(v20, v37) = v40 & ( ~ (v39 = v37) | (v40 = v36 & v38 = 0)))) & ! [v36] : ! [v37] : ! [v38] : ( ~ (in(v37, v26) = 0) | ~ (in(v36, v25) = v38) | ? [v39] : ? [v40] : (apply(v21, v36) = v40 & apply(v20, v37) = v39 & ( ~ (v39 = v36) | (v40 = v37 & v38 = 0))))))))))))) & ! [v20] : ! [v21] : ( ~ (function_inverse(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (relation_inverse(v20) = v25 & one_to_one(v20) = v24 & relation(v20) = v22 & function(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v25 = v21))) & ! [v20] : ! [v21] : ( ~ (function_inverse(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (one_to_one(v21) = v25 & one_to_one(v20) = v24 & relation(v20) = v22 & function(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v25 = 0))) & ! [v20] : ! [v21] : ( ~ (function_inverse(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (relation(v21) = v24 & relation(v20) = v22 & function(v21) = v25 & function(v20) = v23 & ( ~ (v23 = 0) | ~ (v22 = 0) | (v25 = 0 & v24 = 0)))) & ! [v20] : ! [v21] : ( ~ (relation_inverse(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (relation_rng(v21) = v26 & relation_rng(v20) = v23 & relation_dom(v21) = v24 & relation_dom(v20) = v25 & relation(v20) = v22 & ( ~ (v22 = 0) | (v26 = v25 & v24 = v23)))) & ! [v20] : ! [v21] : ( ~ (relation_inverse(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (one_to_one(v20) = v24 & relation(v21) = v25 & relation(v20) = v22 & function(v21) = v26 & function(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | (v26 = 0 & v25 = 0)))) & ! [v20] : ! [v21] : ( ~ (relation_inverse(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : (relation(v21) = v24 & empty(v21) = v23 & empty(v20) = v22 & ( ~ (v22 = 0) | (v24 = 0 & v23 = 0)))) & ! [v20] : ! [v21] : ( ~ (relation_inverse(v20) = v21) | ? [v22] : ? [v23] : (relation_inverse(v21) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | v23 = v20))) & ! [v20] : ! [v21] : ( ~ (relation_inverse(v20) = v21) | ? [v22] : ? [v23] : (relation(v21) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | v23 = 0))) & ! [v20] : ! [v21] : ( ~ (being_limit_ordinal(v20) = 0) | ~ (succ(v21) = v20) | ? [v22] : (( ~ (v22 = 0) & ordinal(v21) = v22) | ( ~ (v22 = 0) & ordinal(v20) = v22))) & ! [v20] : ! [v21] : ( ~ (well_orders(v20, v21) = 0) | ~ (relation(v20) = 0) | (is_well_founded_in(v20, v21) = 0 & is_reflexive_in(v20, v21) = 0 & is_transitive_in(v20, v21) = 0 & is_connected_in(v20, v21) = 0 & is_antisymmetric_in(v20, v21) = 0)) & ! [v20] : ! [v21] : ( ~ (relation_rng(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : (relation(v21) = v24 & empty(v21) = v23 & empty(v20) = v22 & ( ~ (v22 = 0) | (v24 = 0 & v23 = 0)))) & ! [v20] : ! [v21] : ( ~ (relation_rng(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : (relation(v20) = v23 & empty(v21) = v24 & empty(v20) = v22 & ( ~ (v24 = 0) | ~ (v23 = 0) | v22 = 0))) & ! [v20] : ! [v21] : ( ~ (relation_rng(v20) = v21) | ? [v22] : ? [v23] : (relation_dom(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | ! [v24] : ! [v25] : ! [v26] : ( ~ (relation_rng(v24) = v25) | ~ (subset(v21, v25) = v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (relation_dom(v24) = v29 & subset(v23, v29) = v30 & subset(v20, v24) = v28 & relation(v24) = v27 & ( ~ (v28 = 0) | ~ (v27 = 0) | (v30 = 0 & v26 = 0))))))) & ! [v20] : ! [v21] : ( ~ (relation_rng(v20) = v21) | ? [v22] : ? [v23] : (relation_dom(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | ! [v24] : ! [v25] : ( ~ (relation_rng(v24) = v25) | ~ (subset(v23, v25) = 0) | ? [v26] : ? [v27] : ? [v28] : (relation_composition(v24, v20) = v27 & relation_rng(v27) = v28 & relation(v24) = v26 & ( ~ (v26 = 0) | v28 = v21)))))) & ! [v20] : ! [v21] : ( ~ (relation_rng(v20) = v21) | ? [v22] : ? [v23] : (relation_dom(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | ! [v24] : ! [v25] : ( ~ (relation_dom(v24) = v25) | ~ (subset(v21, v25) = 0) | ? [v26] : ? [v27] : ? [v28] : (relation_composition(v20, v24) = v27 & relation_dom(v27) = v28 & relation(v24) = v26 & ( ~ (v26 = 0) | v28 = v23)))))) & ! [v20] : ! [v21] : ( ~ (relation_rng(v20) = v21) | ? [v22] : ? [v23] : (relation_dom(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | (( ~ (v23 = empty_set) | v21 = empty_set) & ( ~ (v21 = empty_set) | v23 = empty_set))))) & ! [v20] : ! [v21] : ( ~ (set_difference(v20, v21) = empty_set) | subset(v20, v21) = 0) & ! [v20] : ! [v21] : ( ~ (well_ordering(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (reflexive(v20) = v23 & well_founded_relation(v20) = v27 & transitive(v20) = v24 & connected(v20) = v26 & antisymmetric(v20) = v25 & relation(v20) = v22 & ( ~ (v22 = 0) | (( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | v21 = 0) & ( ~ (v21 = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0)))))) & ! [v20] : ! [v21] : ( ~ (reflexive(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (relation_field(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | (( ~ (v21 = 0) | ! [v28] : ( ~ (in(v28, v23) = 0) | ? [v29] : (ordered_pair(v28, v28) = v29 & in(v29, v20) = 0))) & (v21 = 0 | (v25 = 0 & ~ (v27 = 0) & ordered_pair(v24, v24) = v26 & in(v26, v20) = v27 & in(v24, v23) = 0)))))) & ! [v20] : ! [v21] : ( ~ (union(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (epsilon_connected(v21) = v24 & ordinal(v21) = v25 & ordinal(v20) = v22 & epsilon_transitive(v21) = v23 & ( ~ (v22 = 0) | (v25 = 0 & v24 = 0 & v23 = 0)))) & ! [v20] : ! [v21] : ( ~ (well_founded_relation(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (relation_field(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | (( ~ (v21 = 0) | ! [v26] : (v26 = empty_set | ~ (subset(v26, v23) = 0) | ? [v27] : ? [v28] : (disjoint(v28, v26) = 0 & fiber(v20, v27) = v28 & in(v27, v26) = 0))) & (v21 = 0 | (v25 = 0 & ~ (v24 = empty_set) & subset(v24, v23) = 0 & ! [v26] : ! [v27] : ( ~ (disjoint(v27, v24) = 0) | ~ (fiber(v20, v26) = v27) | ? [v28] : ( ~ (v28 = 0) & in(v26, v24) = v28)))))))) & ! [v20] : ! [v21] : ( ~ (disjoint(v20, v21) = 0) | set_difference(v20, v21) = v20) & ! [v20] : ! [v21] : ( ~ (disjoint(v20, v21) = 0) | disjoint(v21, v20) = 0) & ! [v20] : ! [v21] : ( ~ (disjoint(v20, v21) = 0) | set_intersection2(v20, v21) = empty_set) & ! [v20] : ! [v21] : ( ~ (disjoint(v20, v21) = 0) | ? [v22] : (set_intersection2(v20, v21) = v22 & ! [v23] : ~ (in(v23, v22) = 0))) & ! [v20] : ! [v21] : ( ~ (element(v20, v21) = 0) | ? [v22] : ? [v23] : (empty(v21) = v22 & in(v20, v21) = v23 & (v23 = 0 | v22 = 0))) & ! [v20] : ! [v21] : ( ~ (powerset(v20) = v21) | union(v21) = v20) & ! [v20] : ! [v21] : ( ~ (powerset(v20) = v21) | ? [v22] : ( ~ (v22 = 0) & empty(v21) = v22)) & ! [v20] : ! [v21] : ( ~ (powerset(v20) = v21) | ? [v22] : (element(v22, v21) = 0 & empty(v22) = 0)) & ! [v20] : ! [v21] : ( ~ (singleton(v20) = v21) | ? [v22] : ( ~ (v22 = 0) & empty(v21) = v22)) & ! [v20] : ! [v21] : ( ~ (succ(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (epsilon_connected(v21) = v25 & ordinal(v21) = v26 & ordinal(v20) = v22 & epsilon_transitive(v21) = v24 & empty(v21) = v23 & ( ~ (v22 = 0) | (v26 = 0 & v25 = 0 & v24 = 0 & ~ (v23 = 0))))) & ! [v20] : ! [v21] : ( ~ (succ(v20) = v21) | ? [v22] : ( ~ (v22 = 0) & empty(v21) = v22)) & ! [v20] : ! [v21] : ( ~ (connected(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (relation_field(v20) = v23 & relation(v20) = v22 & ( ~ (v22 = 0) | (( ~ (v21 = 0) | ! [v32] : ! [v33] : (v33 = v32 | ~ (in(v33, v23) = 0) | ~ (in(v32, v23) = 0) | ? [v34] : ? [v35] : ? [v36] : ? [v37] : (ordered_pair(v33, v32) = v36 & ordered_pair(v32, v33) = v34 & in(v36, v20) = v37 & in(v34, v20) = v35 & (v37 = 0 | v35 = 0)))) & (v21 = 0 | (v27 = 0 & v26 = 0 & ~ (v31 = 0) & ~ (v29 = 0) & ~ (v25 = v24) & ordered_pair(v25, v24) = v30 & ordered_pair(v24, v25) = v28 & in(v30, v20) = v31 & in(v28, v20) = v29 & in(v25, v23) = 0 & in(v24, v23) = 0)))))) & ! [v20] : ! [v21] : ( ~ (identity_relation(v20) = v21) | relation_rng(v21) = v20) & ! [v20] : ! [v21] : ( ~ (identity_relation(v20) = v21) | relation_dom(v21) = v20) & ! [v20] : ! [v21] : ( ~ (identity_relation(v20) = v21) | relation(v21) = 0) & ! [v20] : ! [v21] : ( ~ (identity_relation(v20) = v21) | function(v21) = 0) & ! [v20] : ! [v21] : ( ~ (unordered_pair(v20, v20) = v21) | singleton(v20) = v21) & ! [v20] : ! [v21] : ( ~ (one_to_one(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (relation_dom(v20) = v24 & relation(v20) = v22 & function(v20) = v23 & ( ~ (v23 = 0) | ~ (v22 = 0) | (( ~ (v21 = 0) | ! [v31] : ! [v32] : (v32 = v31 | ~ (in(v32, v24) = 0) | ~ (in(v31, v24) = 0) | ? [v33] : ? [v34] : ( ~ (v34 = v33) & apply(v20, v32) = v34 & apply(v20, v31) = v33))) & (v21 = 0 | (v30 = v29 & v28 = 0 & v27 = 0 & ~ (v26 = v25) & apply(v20, v26) = v29 & apply(v20, v25) = v29 & in(v26, v24) = 0 & in(v25, v24) = 0)))))) & ! [v20] : ! [v21] : ( ~ (one_to_one(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : (relation(v20) = v22 & function(v20) = v24 & empty(v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v21 = 0))) & ! [v20] : ! [v21] : ( ~ (relation(v20) = 0) | ~ (in(v21, v20) = 0) | ? [v22] : ? [v23] : ordered_pair(v22, v23) = v21) & ! [v20] : ! [v21] : ( ~ (epsilon_connected(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : (ordinal(v20) = v24 & epsilon_transitive(v20) = v23 & empty(v20) = v22 & ( ~ (v22 = 0) | (v24 = 0 & v23 = 0 & v21 = 0)))) & ! [v20] : ! [v21] : ( ~ (epsilon_connected(v20) = v21) | ? [v22] : ? [v23] : (ordinal(v20) = v22 & epsilon_transitive(v20) = v23 & ( ~ (v22 = 0) | (v23 = 0 & v21 = 0)))) & ! [v20] : ! [v21] : ( ~ (epsilon_transitive(v20) = 0) | ~ (proper_subset(v20, v21) = 0) | ? [v22] : ? [v23] : (ordinal(v21) = v22 & in(v20, v21) = v23 & ( ~ (v22 = 0) | v23 = 0))) & ! [v20] : ! [v21] : ( ~ (proper_subset(v21, v20) = 0) | ? [v22] : ( ~ (v22 = 0) & subset(v20, v21) = v22)) & ! [v20] : ! [v21] : ( ~ (proper_subset(v20, v21) = 0) | subset(v20, v21) = 0) & ! [v20] : ! [v21] : ( ~ (proper_subset(v20, v21) = 0) | ? [v22] : ( ~ (v22 = 0) & proper_subset(v21, v20) = v22)) & ! [v20] : ! [v21] : ( ~ (in(v20, v21) = 0) | ? [v22] : ( ~ (v22 = 0) & empty(v21) = v22)) & ! [v20] : ! [v21] : ( ~ (in(v20, v21) = 0) | ? [v22] : ( ~ (v22 = 0) & in(v21, v20) = v22)) & ! [v20] : ! [v21] : ( ~ (in(v20, v21) = 0) | ? [v22] : (in(v22, v21) = 0 & ! [v23] : ( ~ (in(v23, v21) = 0) | ? [v24] : ( ~ (v24 = 0) & in(v23, v22) = v24)))) & ? [v20] : ! [v21] : ( ~ (function(v21) = 0) | ? [v22] : ? [v23] : (relation_dom(v21) = v23 & relation(v21) = v22 & ( ~ (v22 = 0) | ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (relation_composition(v24, v21) = v25) | ~ (relation_dom(v25) = v26) | ~ (in(v20, v26) = v27) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : (relation_dom(v24) = v30 & apply(v24, v20) = v32 & relation(v24) = v28 & function(v24) = v29 & in(v32, v23) = v33 & in(v20, v30) = v31 & ( ~ (v29 = 0) | ~ (v28 = 0) | (( ~ (v33 = 0) | ~ (v31 = 0) | v27 = 0) & ( ~ (v27 = 0) | (v33 = 0 & v31 = 0))))))))) & ? [v20] : ! [v21] : ( ~ (function(v21) = 0) | ? [v22] : ? [v23] : (relation_dom(v21) = v23 & relation(v21) = v22 & ( ~ (v22 = 0) | ! [v24] : ! [v25] : ! [v26] : ( ~ (relation_dom(v24) = v25) | ~ (set_intersection2(v25, v20) = v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : (relation_dom_restriction(v24, v20) = v29 & relation(v24) = v27 & function(v24) = v28 & ( ~ (v28 = 0) | ~ (v27 = 0) | (( ~ (v29 = v21) | (v26 = v23 & ! [v34] : ( ~ (in(v34, v23) = 0) | ? [v35] : (apply(v24, v34) = v35 & apply(v21, v34) = v35)))) & ( ~ (v26 = v23) | v29 = v21 | (v31 = 0 & ~ (v33 = v32) & apply(v24, v30) = v33 & apply(v21, v30) = v32 & in(v30, v23) = 0))))))))) & ! [v20] : (v20 = empty_set | ~ (set_meet(empty_set) = v20)) & ! [v20] : (v20 = empty_set | ~ (subset(v20, empty_set) = 0)) & ! [v20] : (v20 = empty_set | ~ (relation(v20) = 0) | ? [v21] : ? [v22] : ? [v23] : (ordered_pair(v21, v22) = v23 & in(v23, v20) = 0)) & ! [v20] : (v20 = empty_set | ~ (empty(v20) = 0)) & ! [v20] : ( ~ (being_limit_ordinal(v20) = 0) | union(v20) = v20) & ! [v20] : ~ (singleton(v20) = empty_set) & ! [v20] : ( ~ (epsilon_connected(v20) = 0) | ? [v21] : ? [v22] : (ordinal(v20) = v22 & epsilon_transitive(v20) = v21 & ( ~ (v21 = 0) | v22 = 0))) & ! [v20] : ( ~ (function(v20) = 0) | ? [v21] : ? [v22] : ? [v23] : (relation_rng(v20) = v22 & relation_dom(v20) = v23 & relation(v20) = v21 & ( ~ (v21 = 0) | ( ! [v24] : ! [v25] : ! [v26] : (v25 = 0 | ~ (in(v26, v23) = 0) | ~ (in(v24, v22) = v25) | ? [v27] : ( ~ (v27 = v24) & apply(v20, v26) = v27)) & ! [v24] : ( ~ (in(v24, v22) = 0) | ? [v25] : (apply(v20, v25) = v24 & in(v25, v23) = 0)) & ? [v24] : (v24 = v22 | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (in(v25, v24) = v26 & ( ~ (v26 = 0) | ! [v30] : ( ~ (in(v30, v23) = 0) | ? [v31] : ( ~ (v31 = v25) & apply(v20, v30) = v31))) & (v26 = 0 | (v29 = v25 & v28 = 0 & apply(v20, v27) = v25 & in(v27, v23) = 0)))))))) & ! [v20] : ( ~ (function(v20) = 0) | ? [v21] : ? [v22] : (relation_dom(v20) = v22 & relation(v20) = v21 & ( ~ (v21 = 0) | ( ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v26 = 0 | ~ (relation_image(v20, v23) = v24) | ~ (in(v27, v22) = 0) | ~ (in(v25, v24) = v26) | ? [v28] : ? [v29] : (apply(v20, v27) = v29 & in(v27, v23) = v28 & ( ~ (v29 = v25) | ~ (v28 = 0)))) & ! [v23] : ! [v24] : ! [v25] : ( ~ (relation_image(v20, v23) = v24) | ~ (in(v25, v24) = 0) | ? [v26] : (apply(v20, v26) = v25 & in(v26, v23) = 0 & in(v26, v22) = 0)) & ? [v23] : ! [v24] : ! [v25] : (v25 = v23 | ~ (relation_image(v20, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (in(v26, v23) = v27 & ( ~ (v27 = 0) | ! [v32] : ( ~ (in(v32, v22) = 0) | ? [v33] : ? [v34] : (apply(v20, v32) = v34 & in(v32, v24) = v33 & ( ~ (v34 = v26) | ~ (v33 = 0))))) & (v27 = 0 | (v31 = v26 & v30 = 0 & v29 = 0 & apply(v20, v28) = v26 & in(v28, v24) = 0 & in(v28, v22) = 0)))))))) & ! [v20] : ( ~ (function(v20) = 0) | ? [v21] : ? [v22] : (relation_dom(v20) = v22 & relation(v20) = v21 & ( ~ (v21 = 0) | ( ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (relation_inverse_image(v20, v23) = v24) | ~ (apply(v20, v25) = v26) | ~ (in(v26, v23) = v27) | ? [v28] : ? [v29] : (in(v25, v24) = v28 & in(v25, v22) = v29 & ( ~ (v28 = 0) | (v29 = 0 & v27 = 0)))) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (relation_inverse_image(v20, v23) = v24) | ~ (apply(v20, v25) = v26) | ~ (in(v26, v23) = 0) | ? [v27] : ? [v28] : (in(v25, v24) = v28 & in(v25, v22) = v27 & ( ~ (v27 = 0) | v28 = 0))) & ? [v23] : ! [v24] : ! [v25] : (v25 = v23 | ~ (relation_inverse_image(v20, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (apply(v20, v26) = v29 & in(v29, v24) = v30 & in(v26, v23) = v27 & in(v26, v22) = v28 & ( ~ (v30 = 0) | ~ (v28 = 0) | ~ (v27 = 0)) & (v27 = 0 | (v30 = 0 & v28 = 0)))))))) & ! [v20] : ( ~ (function(v20) = 0) | ? [v21] : ? [v22] : (relation_dom(v20) = v22 & relation(v20) = v21 & ( ~ (v21 = 0) | ( ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (ordered_pair(v23, v24) = v25) | ~ (in(v25, v20) = v26) | ? [v27] : ? [v28] : (apply(v20, v23) = v28 & in(v23, v22) = v27 & ( ~ (v27 = 0) | (( ~ (v28 = v24) | v26 = 0) & ( ~ (v26 = 0) | v28 = v24))))) & ? [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (in(v24, v22) = v25) | ? [v26] : (apply(v20, v24) = v26 & ( ~ (v26 = v23) | v23 = empty_set) & ( ~ (v23 = empty_set) | v26 = empty_set))))))) & ! [v20] : ( ~ (empty(v20) = 0) | relation(v20) = 0) & ! [v20] : ( ~ (empty(v20) = 0) | ? [v21] : (relation_dom(v20) = v21 & relation(v21) = 0 & empty(v21) = 0)) & ! [v20] : ~ (proper_subset(v20, v20) = 0) & ! [v20] : ~ (in(v20, empty_set) = 0) & ? [v20] : ? [v21] : (v21 = v20 | ? [v22] : ? [v23] : ? [v24] : (in(v22, v21) = v24 & in(v22, v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0)) & (v24 = 0 | v23 = 0))) & ? [v20] : ? [v21] : element(v21, v20) = 0 & ? [v20] : ? [v21] : (in(v20, v21) = 0 & ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (powerset(v22) = v23) | ~ (in(v23, v21) = v24) | ? [v25] : ( ~ (v25 = 0) & in(v22, v21) = v25)) & ! [v22] : ! [v23] : (v23 = 0 | ~ (are_equipotent(v22, v21) = v23) | ? [v24] : ? [v25] : (subset(v22, v21) = v24 & in(v22, v21) = v25 & ( ~ (v24 = 0) | v25 = 0))) & ! [v22] : ! [v23] : ( ~ (subset(v23, v22) = 0) | ? [v24] : ? [v25] : (in(v23, v21) = v25 & in(v22, v21) = v24 & ( ~ (v24 = 0) | v25 = 0)))) & ? [v20] : ? [v21] : (in(v20, v21) = 0 & ! [v22] : ! [v23] : (v23 = 0 | ~ (are_equipotent(v22, v21) = v23) | ? [v24] : ? [v25] : (subset(v22, v21) = v24 & in(v22, v21) = v25 & ( ~ (v24 = 0) | v25 = 0))) & ! [v22] : ! [v23] : ( ~ (subset(v23, v22) = 0) | ? [v24] : ? [v25] : (in(v23, v21) = v25 & in(v22, v21) = v24 & ( ~ (v24 = 0) | v25 = 0))) & ! [v22] : ( ~ (in(v22, v21) = 0) | ? [v23] : (in(v23, v21) = 0 & ! [v24] : ( ~ (subset(v24, v22) = 0) | in(v24, v23) = 0)))) & ? [v20] : (v20 = empty_set | ? [v21] : in(v21, v20) = 0))
% 161.40/101.14 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19 yields:
% 161.40/101.14 | (1) ~ (all_0_6_6 = 0) & ~ (all_0_8_8 = 0) & ~ (all_0_11_11 = 0) & ~ (all_0_15_15 = 0) & relation_empty_yielding(all_0_13_13) = 0 & relation_empty_yielding(all_0_14_14) = 0 & relation_empty_yielding(empty_set) = 0 & relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16 & relation_rng(empty_set) = empty_set & powerset(empty_set) = all_0_19_19 & singleton(empty_set) = all_0_19_19 & antisymmetric(all_0_16_16) = all_0_15_15 & antisymmetric(all_0_17_17) = 0 & relation_dom(empty_set) = empty_set & one_to_one(all_0_5_5) = 0 & one_to_one(all_0_10_10) = 0 & one_to_one(empty_set) = 0 & relation(all_0_0_0) = 0 & relation(all_0_2_2) = 0 & relation(all_0_4_4) = 0 & relation(all_0_5_5) = 0 & relation(all_0_7_7) = 0 & relation(all_0_10_10) = 0 & relation(all_0_13_13) = 0 & relation(all_0_14_14) = 0 & relation(all_0_17_17) = 0 & relation(empty_set) = 0 & epsilon_connected(all_0_1_1) = 0 & epsilon_connected(all_0_5_5) = 0 & epsilon_connected(all_0_12_12) = 0 & epsilon_connected(empty_set) = 0 & ordinal(all_0_1_1) = 0 & ordinal(all_0_5_5) = 0 & ordinal(all_0_12_12) = 0 & ordinal(empty_set) = 0 & epsilon_transitive(all_0_1_1) = 0 & epsilon_transitive(all_0_5_5) = 0 & epsilon_transitive(all_0_12_12) = 0 & epsilon_transitive(empty_set) = 0 & function(all_0_0_0) = 0 & function(all_0_4_4) = 0 & function(all_0_5_5) = 0 & function(all_0_10_10) = 0 & function(all_0_14_14) = 0 & function(empty_set) = 0 & empty(all_0_2_2) = 0 & empty(all_0_3_3) = 0 & empty(all_0_4_4) = 0 & empty(all_0_5_5) = 0 & empty(all_0_7_7) = all_0_6_6 & empty(all_0_9_9) = all_0_8_8 & empty(all_0_12_12) = all_0_11_11 & empty(empty_set) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = 0 | ~ (relation_composition(v0, v1) = v2) | ~ (ordered_pair(v3, v7) = v8) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ~ (in(v8, v0) = 0) | ~ (in(v5, v2) = v6) | ? [v9] : ? [v10] : (( ~ (v10 = 0) & ordered_pair(v7, v4) = v9 & in(v9, v1) = v10) | ( ~ (v9 = 0) & relation(v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (is_transitive_in(v0, v1) = 0) | ~ (ordered_pair(v2, v4) = v6) | ~ (ordered_pair(v2, v3) = v5) | ~ (relation(v0) = 0) | ~ (in(v6, v0) = v7) | ~ (in(v5, v0) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (ordered_pair(v3, v4) = v11 & in(v11, v0) = v12 & in(v4, v1) = v10 & in(v3, v1) = v9 & in(v2, v1) = v8 & ( ~ (v12 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_composition(v5, v3) = v6) | ~ (identity_relation(v2) = v5) | ~ (ordered_pair(v0, v1) = v4) | ~ (in(v4, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : (relation(v3) = v8 & in(v4, v3) = v10 & in(v0, v2) = v9 & ( ~ (v8 = 0) | (( ~ (v10 = 0) | ~ (v9 = 0) | v7 = 0) & ( ~ (v7 = 0) | (v10 = 0 & v9 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (relation_restriction(v2, v0) = v3) | ~ (fiber(v3, v1) = v4) | ~ (fiber(v2, v1) = v5) | ~ (subset(v4, v5) = v6) | ? [v7] : ( ~ (v7 = 0) & relation(v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (relation_rng(v2) = v5) | ~ (relation_dom(v2) = v3) | ~ (in(v1, v5) = v6) | ~ (in(v0, v3) = v4) | ? [v7] : ? [v8] : ? [v9] : (ordered_pair(v0, v1) = v8 & relation(v2) = v7 & in(v8, v2) = v9 & ( ~ (v9 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (cartesian_product2(v2, v3) = v5) | ~ (ordered_pair(v0, v1) = v4) | ~ (in(v4, v5) = v6) | ? [v7] : ? [v8] : (in(v1, v3) = v8 & in(v0, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (cartesian_product2(v1, v3) = v5) | ~ (cartesian_product2(v0, v2) = v4) | ~ (subset(v4, v5) = v6) | ? [v7] : ? [v8] : (subset(v2, v3) = v8 & subset(v0, v1) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (transitive(v0) = 0) | ~ (ordered_pair(v1, v3) = v5) | ~ (ordered_pair(v1, v2) = v4) | ~ (in(v5, v0) = v6) | ~ (in(v4, v0) = 0) | ? [v7] : ? [v8] : (( ~ (v8 = 0) & ordered_pair(v2, v3) = v7 & in(v7, v0) = v8) | ( ~ (v7 = 0) & relation(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (relation_rng(v2) = v5) | ~ (relation_dom(v2) = v3) | ~ (in(v1, v5) = v6) | ~ (in(v0, v3) = v4) | ? [v7] : ? [v8] : ? [v9] : (ordered_pair(v0, v1) = v8 & relation(v2) = v7 & in(v8, v2) = v9 & ( ~ (v9 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (cartesian_product2(v0, v1) = v2) | ~ (ordered_pair(v5, v6) = v3) | ~ (in(v3, v2) = v4) | ? [v7] : ? [v8] : (in(v6, v1) = v8 & in(v5, v0) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (relation_inverse_image(v0, v1) = v2) | ~ (ordered_pair(v3, v5) = v6) | ~ (relation(v0) = 0) | ~ (in(v6, v0) = 0) | ~ (in(v3, v2) = v4) | ? [v7] : ( ~ (v7 = 0) & in(v5, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (relation_image(v0, v1) = v2) | ~ (ordered_pair(v5, v3) = v6) | ~ (relation(v0) = 0) | ~ (in(v6, v0) = 0) | ~ (in(v3, v2) = v4) | ? [v7] : ( ~ (v7 = 0) & in(v5, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (in(v5, v1) = v6) | ? [v7] : ? [v8] : (( ~ (v7 = 0) & relation(v1) = v7) | (in(v5, v2) = v7 & in(v4, v0) = v8 & ( ~ (v7 = 0) | (v8 = 0 & v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ~ (in(v5, v0) = v6) | ? [v7] : ? [v8] : (in(v5, v2) = v7 & in(v3, v1) = v8 & ( ~ (v7 = 0) | (v8 = 0 & v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v3 = v2 | ~ (is_connected_in(v0, v1) = 0) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (ordered_pair(v3, v2) = v8 & in(v8, v0) = v9 & in(v3, v1) = v7 & in(v2, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subset_difference(v0, v1, v2) = v4) | ~ (element(v4, v3) = v5) | ~ (powerset(v0) = v3) | ? [v6] : ? [v7] : (element(v2, v3) = v7 & element(v1, v3) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (complements_of_subsets(v0, v1) = v4) | ~ (element(v4, v3) = v5) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ? [v6] : ( ~ (v6 = 0) & element(v1, v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_composition(v0, v2) = v3) | ~ (relation_dom(v3) = v4) | ~ (relation_dom(v0) = v1) | ~ (subset(v4, v1) = v5) | ? [v6] : (( ~ (v6 = 0) & relation(v2) = v6) | ( ~ (v6 = 0) & relation(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_composition(v0, v1) = v2) | ~ (relation_rng(v2) = v3) | ~ (relation_rng(v1) = v4) | ~ (subset(v3, v4) = v5) | ~ (relation(v0) = 0) | ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_inverse(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v1) = 0) | ~ (in(v4, v1) = v5) | ? [v6] : ? [v7] : (( ~ (v7 = 0) & ordered_pair(v3, v2) = v6 & in(v6, v0) = v7) | ( ~ (v6 = 0) & relation(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_rng(v2) = v3) | ~ (relation_rng(v1) = v4) | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (subset(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_rng(v2) = v3) | ~ (relation_rng(v1) = v4) | ~ (relation_dom_restriction(v1, v0) = v2) | ~ (subset(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (set_difference(v1, v3) = v4) | ~ (singleton(v2) = v3) | ~ (subset(v0, v4) = v5) | ? [v6] : ? [v7] : (subset(v0, v1) = v6 & in(v2, v0) = v7 & ( ~ (v6 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (set_difference(v1, v2) = v4) | ~ (set_difference(v0, v2) = v3) | ~ (subset(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & subset(v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (fiber(v0, v1) = v2) | ~ (ordered_pair(v3, v1) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = v5) | ? [v6] : ( ~ (v6 = 0) & in(v3, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_inverse_image(v2, v1) = v4) | ~ (relation_inverse_image(v2, v0) = v3) | ~ (subset(v3, v4) = v5) | ? [v6] : ? [v7] : (subset(v0, v1) = v7 & relation(v2) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_field(v2) = v3) | ~ (in(v1, v3) = v5) | ~ (in(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : (ordered_pair(v0, v1) = v7 & relation(v2) = v6 & in(v7, v2) = v8 & ( ~ (v8 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (relation_dom(v2) = v3) | ~ (relation_dom(v1) = v4) | ~ (subset(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation(v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subset(v3, v4) = v5) | ~ (set_intersection2(v1, v2) = v4) | ~ (set_intersection2(v0, v2) = v3) | ? [v6] : ( ~ (v6 = 0) & subset(v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (relation_field(v2) = v3) | ~ (in(v1, v3) = v5) | ~ (in(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : (ordered_pair(v0, v1) = v7 & relation(v2) = v6 & in(v7, v2) = v8 & ( ~ (v8 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = 0 | ~ (relation_rng(v0) = v1) | ~ (ordered_pair(v4, v2) = v5) | ~ (in(v5, v0) = 0) | ~ (in(v2, v1) = v3) | ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = 0 | ~ (relation_dom(v0) = v1) | ~ (ordered_pair(v2, v4) = v5) | ~ (in(v5, v0) = 0) | ~ (in(v2, v1) = v3) | ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_composition(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ~ (in(v5, v2) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & v8 = 0 & ordered_pair(v6, v4) = v9 & ordered_pair(v3, v6) = v7 & in(v9, v1) = 0 & in(v7, v0) = 0) | ( ~ (v6 = 0) & relation(v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_restriction(v1, v0) = v2) | ~ (relation_field(v2) = v3) | ~ (relation_field(v1) = v4) | ~ (subset(v3, v4) = v5) | ? [v6] : ? [v7] : (subset(v3, v0) = v7 & relation(v1) = v6 & ( ~ (v6 = 0) | (v7 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_rng(v3) = v4) | ~ (relation_rng_restriction(v1, v2) = v3) | ~ (in(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (relation_rng(v2) = v8 & relation(v2) = v6 & in(v0, v8) = v9 & in(v0, v1) = v7 & ( ~ (v6 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v9 = 0 & v7 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (cartesian_product2(v2, v3) = v5) | ~ (ordered_pair(v0, v1) = v4) | ~ (in(v4, v5) = 0) | (in(v1, v3) = 0 & in(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (cartesian_product2(v1, v2) = v4) | ~ (cartesian_product2(v0, v2) = v3) | ~ (subset(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (cartesian_product2(v2, v1) = v8 & cartesian_product2(v2, v0) = v7 & subset(v7, v8) = v9 & subset(v0, v1) = v6 & ( ~ (v6 = 0) | (v9 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (in(v5, v1) = 0) | ? [v6] : ? [v7] : (( ~ (v6 = 0) & relation(v1) = v6) | (in(v5, v2) = v7 & in(v4, v0) = v6 & ( ~ (v6 = 0) | v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_dom(v3) = v4) | ~ (relation_dom_restriction(v2, v1) = v3) | ~ (in(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (relation_dom(v2) = v8 & relation(v2) = v6 & in(v0, v8) = v9 & in(v0, v1) = v7 & ( ~ (v6 = 0) | (( ~ (v9 = 0) | ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v9 = 0 & v7 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_dom(v3) = v4) | ~ (relation_dom_restriction(v2, v0) = v3) | ~ (in(v1, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (relation_dom(v2) = v8 & relation(v2) = v6 & function(v2) = v7 & in(v1, v8) = v9 & in(v1, v0) = v10 & ( ~ (v7 = 0) | ~ (v6 = 0) | (( ~ (v10 = 0) | ~ (v9 = 0) | v5 = 0) & ( ~ (v5 = 0) | (v10 = 0 & v9 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ~ (ordered_pair(v3, v4) = v5) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ~ (in(v5, v0) = 0) | ? [v6] : ? [v7] : (in(v5, v2) = v7 & in(v3, v1) = v6 & ( ~ (v6 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | v4 = v1 | v4 = v0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v4, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v0 = empty_set | ~ (set_meet(v0) = v1) | ~ (in(v2, v3) = v4) | ~ (in(v2, v1) = 0) | ? [v5] : ( ~ (v5 = 0) & in(v3, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (meet_of_subsets(v0, v1) = v3) | ~ (element(v3, v2) = v4) | ~ (powerset(v0) = v2) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & element(v1, v5) = v6 & powerset(v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union_of_subsets(v0, v1) = v3) | ~ (element(v3, v2) = v4) | ~ (powerset(v0) = v2) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & element(v1, v5) = v6 & powerset(v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset_complement(v0, v1) = v3) | ~ (element(v3, v2) = v4) | ~ (powerset(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & element(v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_rng(v2) = v3) | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (subset(v3, v0) = v4) | ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_rng(v1) = v3) | ~ (relation_image(v1, v0) = v2) | ~ (subset(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_rng(v0) = v2) | ~ (cartesian_product2(v1, v2) = v3) | ~ (relation_dom(v0) = v1) | ~ (subset(v0, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & relation(v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (element(v1, v3) = 0) | ~ (element(v0, v2) = v4) | ~ (powerset(v2) = v3) | ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (element(v1, v2) = 0) | ~ (powerset(v0) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v3, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (is_reflexive_in(v0, v1) = 0) | ~ (ordered_pair(v2, v2) = v3) | ~ (relation(v0) = 0) | ~ (in(v3, v0) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v2, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v2, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v1, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v0, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_inverse_image(v1, v2) = v3) | ~ (relation_image(v1, v0) = v2) | ~ (subset(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : (relation_dom(v1) = v6 & subset(v0, v6) = v7 & relation(v1) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_inverse_image(v1, v0) = v2) | ~ (relation_dom(v1) = v3) | ~ (subset(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & relation(v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_inverse_image(v1, v0) = v2) | ~ (relation_image(v1, v2) = v3) | ~ (subset(v3, v0) = v4) | ? [v5] : ? [v6] : (relation(v1) = v5 & function(v1) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset(v3, v2) = v4) | ~ (unordered_pair(v0, v1) = v3) | ? [v5] : ? [v6] : (in(v1, v2) = v6 & in(v0, v2) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset(v3, v1) = v4) | ~ (set_union2(v0, v2) = v3) | ? [v5] : ? [v6] : (subset(v2, v1) = v6 & subset(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset(v0, v3) = v4) | ~ (set_intersection2(v1, v2) = v3) | ? [v5] : ? [v6] : (subset(v0, v2) = v6 & subset(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (identity_relation(v0) = v1) | ~ (ordered_pair(v2, v2) = v3) | ~ (relation(v1) = 0) | ~ (in(v3, v1) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v2, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (is_antisymmetric_in(v0, v1) = 0) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (ordered_pair(v3, v2) = v7 & in(v7, v0) = v8 & in(v3, v1) = v6 & in(v2, v1) = v5 & ( ~ (v8 = 0) | ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (identity_relation(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v1) = 0) | ~ (in(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | ~ (fiber(v0, v1) = v2) | ~ (ordered_pair(v3, v1) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = 0) | in(v3, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | ~ (ordered_pair(v2, v3) = v4) | ~ (ordered_pair(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v0 | v2 = v0 | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (union(v0) = v1) | ~ (in(v2, v4) = 0) | ~ (in(v2, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (ordered_pair(v2, v3) = v4) | ~ (ordered_pair(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (subset_difference(v4, v3, v2) = v1) | ~ (subset_difference(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (unordered_triple(v4, v3, v2) = v1) | ~ (unordered_triple(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = empty_set | ~ (subset_difference(v0, v2, v3) = v4) | ~ (meet_of_subsets(v0, v1) = v3) | ~ (cast_to_subset(v0) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (union_of_subsets(v0, v8) = v9 & complements_of_subsets(v0, v1) = v8 & element(v1, v6) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & ( ~ (v7 = 0) | v9 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = empty_set | ~ (subset_difference(v0, v2, v3) = v4) | ~ (union_of_subsets(v0, v1) = v3) | ~ (cast_to_subset(v0) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (meet_of_subsets(v0, v8) = v9 & complements_of_subsets(v0, v1) = v8 & element(v1, v6) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & ( ~ (v7 = 0) | v9 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (function_inverse(v1) = v2) | ~ (relation_composition(v2, v1) = v3) | ~ (apply(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (relation_rng(v1) = v8 & apply(v2, v0) = v10 & apply(v1, v10) = v11 & one_to_one(v1) = v7 & relation(v1) = v5 & function(v1) = v6 & in(v0, v8) = v9 & ( ~ (v9 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v11 = v0 & v4 = v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_composition(v2, v1) = v3) | ~ (relation_dom(v3) = v4) | ~ (function(v1) = 0) | ~ (in(v0, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v5 = 0) & relation(v1) = v5) | (apply(v3, v0) = v7 & apply(v2, v0) = v8 & apply(v1, v8) = v9 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | v9 = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_inverse(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v1) = 0) | ~ (in(v4, v1) = 0) | ? [v5] : ? [v6] : ((v6 = 0 & ordered_pair(v3, v2) = v5 & in(v5, v0) = 0) | ( ~ (v5 = 0) & relation(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_restriction(v2, v1) = v3) | ~ (relation_field(v3) = v4) | ~ (in(v0, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_field(v2) = v6 & relation(v2) = v5 & in(v0, v6) = v7 & in(v0, v1) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_restriction(v2, v1) = v3) | ~ (in(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (cartesian_product2(v1, v1) = v7 & relation(v2) = v5 & in(v0, v7) = v8 & in(v0, v2) = v6 & ( ~ (v5 = 0) | (( ~ (v8 = 0) | ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | (v8 = 0 & v6 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (set_difference(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v4 = 0 & ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (fiber(v0, v1) = v2) | ~ (ordered_pair(v1, v1) = v3) | ~ (relation(v0) = 0) | ~ (in(v3, v0) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (singleton(v0) = v3) | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_inverse_image(v2, v1) = v3) | ~ (in(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (relation_rng(v2) = v6 & relation(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | (v11 = 0 & v10 = 0 & v8 = 0 & ordered_pair(v0, v7) = v9 & in(v9, v2) = 0 & in(v7, v6) = 0 & in(v7, v1) = 0)) & (v4 = 0 | ! [v12] : ( ~ (in(v12, v6) = 0) | ? [v13] : ? [v14] : ? [v15] : (ordered_pair(v0, v12) = v13 & in(v13, v2) = v14 & in(v12, v1) = v15 & ( ~ (v15 = 0) | ~ (v14 = 0))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_rng_restriction(v0, v3) = v4) | ~ (relation_dom_restriction(v2, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : (relation_rng_restriction(v0, v2) = v6 & relation_dom_restriction(v6, v1) = v7 & relation(v2) = v5 & ( ~ (v5 = 0) | v7 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_dom(v3) = v4) | ~ (relation_dom_restriction(v2, v0) = v3) | ~ (in(v1, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (apply(v3, v1) = v7 & apply(v2, v1) = v8 & relation(v2) = v5 & function(v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_dom(v1) = v2) | ~ (relation_image(v1, v3) = v4) | ~ (set_intersection2(v2, v0) = v3) | ? [v5] : ? [v6] : (relation_image(v1, v0) = v6 & relation(v1) = v5 & ( ~ (v5 = 0) | v6 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_image(v2, v1) = v3) | ~ (in(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (relation_dom(v2) = v6 & relation(v2) = v5 & ( ~ (v5 = 0) | (( ~ (v4 = 0) | (v11 = 0 & v10 = 0 & v8 = 0 & ordered_pair(v7, v0) = v9 & in(v9, v2) = 0 & in(v7, v6) = 0 & in(v7, v1) = 0)) & (v4 = 0 | ! [v12] : ( ~ (in(v12, v6) = 0) | ? [v13] : ? [v14] : ? [v15] : (ordered_pair(v12, v0) = v13 & in(v13, v2) = v14 & in(v12, v1) = v15 & ( ~ (v15 = 0) | ~ (v14 = 0))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (apply(v3, v1) = v4) | ~ (relation_dom_restriction(v2, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (apply(v2, v1) = v8 & relation(v2) = v5 & function(v2) = v6 & in(v1, v0) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v8 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (subset(v0, v1) = 0) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v0) = 0) | ~ (in(v4, v0) = 0) | ? [v5] : ((v5 = 0 & in(v4, v1) = 0) | ( ~ (v5 = 0) & relation(v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (identity_relation(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v1) = 0) | ~ (in(v4, v1) = 0) | in(v2, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ordered_pair(v0, v1) = v3) | ~ (in(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (relation_dom(v2) = v7 & apply(v2, v0) = v9 & relation(v2) = v5 & function(v2) = v6 & in(v0, v7) = v8 & ( ~ (v6 = 0) | ~ (v5 = 0) | (( ~ (v9 = v1) | ~ (v8 = 0) | v4 = 0) & ( ~ (v4 = 0) | (v9 = v1 & v8 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (set_intersection2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | (v6 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ? [v6] : (in(v3, v2) = v6 & in(v3, v1) = v5 & (v6 = 0 | ( ~ (v5 = 0) & ~ (v4 = 0))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (unordered_triple(v1, v2, v3) = v4) | ? [v5] : ? [v6] : (in(v5, v0) = v6 & ( ~ (v6 = 0) | ( ~ (v5 = v3) & ~ (v5 = v2) & ~ (v5 = v1))) & (v6 = 0 | v5 = v3 | v5 = v2 | v5 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (relation_composition(v0, v1) = v2) | ~ (relation(v3) = 0) | ~ (relation(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (( ~ (v4 = 0) & relation(v1) = v4) | (ordered_pair(v4, v5) = v6 & in(v6, v3) = v7 & ( ~ (v7 = 0) | ! [v13] : ! [v14] : ( ~ (ordered_pair(v4, v13) = v14) | ~ (in(v14, v0) = 0) | ? [v15] : ? [v16] : ( ~ (v16 = 0) & ordered_pair(v13, v5) = v15 & in(v15, v1) = v16))) & (v7 = 0 | (v12 = 0 & v10 = 0 & ordered_pair(v8, v5) = v11 & ordered_pair(v4, v8) = v9 & in(v11, v1) = 0 & in(v9, v0) = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (relation(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v4 = 0) & relation(v1) = v4) | (ordered_pair(v4, v5) = v6 & in(v6, v3) = v7 & in(v6, v1) = v9 & in(v5, v0) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)) & (v7 = 0 | (v9 = 0 & v8 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (relation_dom_restriction(v0, v1) = v3) | ~ (relation(v2) = 0) | ~ (relation(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (ordered_pair(v4, v5) = v6 & in(v6, v2) = v7 & in(v6, v0) = v9 & in(v4, v1) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)) & (v7 = 0 | (v9 = 0 & v8 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v3 = v0 | ~ (unordered_pair(v0, v1) = v2) | ~ (in(v3, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (subset_complement(v0, v2) = v3) | ~ (subset_complement(v0, v1) = v2) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & element(v1, v4) = v5 & powerset(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (set_difference(v1, v0) = v2) | ~ (set_union2(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (singleton(v0) = v2) | ~ (set_union2(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (apply(v2, v1) = v3) | ~ (identity_relation(v0) = v2) | ? [v4] : ( ~ (v4 = 0) & in(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_difference(v0, v2) = v3) | ~ (singleton(v1) = v2) | in(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (relation_inverse_image(v1, v0) = v2) | ~ (relation_image(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (relation_rng(v1) = v6 & subset(v0, v6) = v7 & relation(v1) = v4 & function(v1) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v0 = empty_set | ~ (set_meet(v0) = v1) | ~ (in(v2, v1) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & in(v4, v0) = 0 & in(v2, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (being_limit_ordinal(v0) = 0) | ~ (succ(v1) = v2) | ~ (in(v2, v0) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ordinal(v0) = v4) | (ordinal(v1) = v4 & in(v1, v0) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (set_difference(v0, v1) = v2) | ~ (subset(v2, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (union(v1) = v2) | ~ (subset(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (cast_to_subset(v0) = v1) | ~ (element(v1, v2) = v3) | ~ (powerset(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjoint(v2, v1) = v3) | ~ (singleton(v0) = v2) | in(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjoint(v1, v2) = 0) | ~ (disjoint(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (element(v0, v2) = v3) | ~ (powerset(v1) = v2) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & in(v4, v1) = v5 & in(v4, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (element(v0, v2) = v3) | ~ (powerset(v1) = v2) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v0) = v1) | ~ (subset(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v2, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (singleton(v0) = v2) | ~ (subset(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (subset(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_dom_restriction(v1, v0) = v2) | ~ (subset(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v2, v0) = v3) | ~ (set_intersection2(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v2) = v3) | ~ (subset(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & subset(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v2) = v3) | ~ (set_union2(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (in(v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (in(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (antisymmetric(v0) = 0) | ~ (ordered_pair(v1, v2) = v3) | ~ (in(v3, v0) = 0) | ? [v4] : ? [v5] : (( ~ (v5 = 0) & ordered_pair(v2, v1) = v4 & in(v4, v0) = v5) | ( ~ (v4 = 0) & relation(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (are_equipotent(v3, v2) = v1) | ~ (are_equipotent(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (meet_of_subsets(v3, v2) = v1) | ~ (meet_of_subsets(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union_of_subsets(v3, v2) = v1) | ~ (union_of_subsets(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (complements_of_subsets(v3, v2) = v1) | ~ (complements_of_subsets(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_composition(v3, v2) = v1) | ~ (relation_composition(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_restriction(v3, v2) = v1) | ~ (relation_restriction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (well_orders(v3, v2) = v1) | ~ (well_orders(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset_complement(v3, v2) = v1) | ~ (subset_complement(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_difference(v3, v2) = v1) | ~ (set_difference(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_well_founded_in(v3, v2) = v1) | ~ (is_well_founded_in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (disjoint(v3, v2) = v1) | ~ (disjoint(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (fiber(v3, v2) = v1) | ~ (fiber(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_reflexive_in(v3, v2) = v1) | ~ (is_reflexive_in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (singleton(v1) = v3) | ~ (singleton(v0) = v2) | ~ (subset(v2, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_transitive_in(v3, v2) = v1) | ~ (is_transitive_in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_connected_in(v3, v2) = v1) | ~ (is_connected_in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_inverse_image(v3, v2) = v1) | ~ (relation_inverse_image(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_antisymmetric_in(v3, v2) = v1) | ~ (is_antisymmetric_in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_rng_restriction(v3, v2) = v1) | ~ (relation_rng_restriction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_image(v3, v2) = v1) | ~ (relation_image(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apply(v3, v2) = v1) | ~ (apply(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_dom_restriction(v3, v2) = v1) | ~ (relation_dom_restriction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordinal_subset(v3, v2) = v1) | ~ (ordinal_subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_union2(v3, v2) = v1) | ~ (set_union2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (proper_subset(v3, v2) = v1) | ~ (proper_subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = empty_set | ~ (element(v1, v3) = 0) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ? [v4] : ( ~ (v4 = empty_set) & complements_of_subsets(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_composition(v2, v1) = v3) | ~ (identity_relation(v0) = v2) | ? [v4] : ? [v5] : (relation_dom_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng(v1) = v2) | ~ (set_intersection2(v2, v0) = v3) | ? [v4] : ? [v5] : ? [v6] : (relation_rng(v5) = v6 & relation_rng_restriction(v0, v1) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v6 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng(v0) = v2) | ~ (relation_dom(v0) = v1) | ~ (set_union2(v1, v2) = v3) | ? [v4] : ? [v5] : (relation_field(v0) = v5 & relation(v0) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng(v0) = v1) | ~ (relation_image(v2, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & relation(v0) = v4) | (relation_composition(v0, v2) = v5 & relation_rng(v5) = v6 & relation(v2) = v4 & ( ~ (v4 = 0) | v6 = v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v2, v1) = v3) | ~ (set_union2(v0, v1) = v2) | set_difference(v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v1, v0) = v2) | ~ (set_union2(v0, v2) = v3) | set_union2(v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v0, v2) = v3) | ~ (set_difference(v0, v1) = v2) | set_intersection2(v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v0, v1) = v2) | ~ (in(v3, v0) = 0) | ? [v4] : ? [v5] : (in(v3, v2) = v5 & in(v3, v1) = v4 & (v5 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v1, v1) = v2) | ~ (set_intersection2(v0, v2) = v3) | ~ (relation(v0) = 0) | relation_restriction(v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v0, v1) = v2) | ~ (in(v3, v2) = 0) | ? [v4] : ? [v5] : (ordered_pair(v4, v5) = v3 & in(v5, v1) = 0 & in(v4, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v3, v2) = 0) | ~ (element(v1, v2) = 0) | ~ (powerset(v0) = v2) | ? [v4] : ? [v5] : ? [v6] : (subset_complement(v0, v3) = v5 & disjoint(v1, v3) = v4 & subset(v1, v5) = v6 & ( ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v2, v3) = 0) | ~ (element(v1, v3) = 0) | ~ (powerset(v0) = v3) | ? [v4] : (subset_difference(v0, v1, v2) = v4 & set_difference(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v2, v3) = 0) | ~ (powerset(v0) = v3) | ~ (in(v1, v2) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & subset_complement(v0, v2) = v4 & in(v1, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v1, v3) = 0) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ? [v4] : (meet_of_subsets(v0, v1) = v4 & set_meet(v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v1, v3) = 0) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ? [v4] : (union_of_subsets(v0, v1) = v4 & union(v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v1, v3) = 0) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ? [v4] : (complements_of_subsets(v0, v4) = v1 & complements_of_subsets(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v1, v3) = 0) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ? [v4] : (complements_of_subsets(v0, v1) = v4 & ! [v5] : (v5 = v4 | ~ (element(v5, v3) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subset_complement(v0, v6) = v8 & element(v6, v2) = 0 & in(v8, v1) = v9 & in(v6, v5) = v7 & ( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))) & ! [v5] : ( ~ (element(v5, v2) = 0) | ~ (element(v4, v3) = 0) | ? [v6] : ? [v7] : ? [v8] : (subset_complement(v0, v5) = v7 & in(v7, v1) = v8 & in(v5, v4) = v6 & ( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v1, v3) = 0) | ~ (powerset(v2) = v3) | ~ (in(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v0) = v1) | ~ (ordinal_subset(v1, v2) = v3) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & ordinal(v0) = v4) | (ordinal(v2) = v4 & in(v0, v2) = v5 & ( ~ (v4 = 0) | (( ~ (v5 = 0) | v3 = 0) & ( ~ (v3 = 0) | v5 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_inverse_image(v0, v1) = v2) | ~ (relation(v0) = 0) | ~ (in(v3, v2) = 0) | ? [v4] : ? [v5] : (ordered_pair(v3, v4) = v5 & in(v5, v0) = 0 & in(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng_restriction(v0, v2) = v3) | ~ (relation_dom_restriction(v1, v0) = v2) | ? [v4] : ? [v5] : (relation_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ (relation_dom_restriction(v2, v0) = v3) | ? [v4] : ? [v5] : (relation_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom(v1) = v2) | ~ (set_intersection2(v2, v0) = v3) | ? [v4] : ? [v5] : ? [v6] : (relation_dom(v5) = v6 & relation_dom_restriction(v1, v0) = v5 & relation(v1) = v4 & ( ~ (v4 = 0) | v6 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom(v1) = v2) | ~ (in(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (apply(v1, v0) = v6 & relation(v1) = v4 & function(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ! [v7] : ! [v8] : ! [v9] : ( ~ (v3 = 0) | ~ (relation_composition(v1, v7) = v8) | ~ (apply(v8, v0) = v9) | ? [v10] : ? [v11] : ? [v12] : (apply(v7, v6) = v12 & relation(v7) = v10 & function(v7) = v11 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = v9)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_image(v0, v1) = v2) | ~ (relation(v0) = 0) | ~ (in(v3, v2) = 0) | ? [v4] : ? [v5] : (ordered_pair(v4, v3) = v5 & in(v5, v0) = 0 & in(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset(v3, v2) = 0) | ~ (unordered_pair(v0, v1) = v3) | (in(v1, v2) = 0 & in(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_intersection2(v0, v1) = v2) | ~ (in(v3, v0) = 0) | ? [v4] : ? [v5] : (in(v3, v2) = v5 & in(v3, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_difference(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0) & (v5 = 0 | (v6 = 0 & ~ (v7 = 0))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (cartesian_product2(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ! [v11] : ! [v12] : ( ~ (ordered_pair(v11, v12) = v4) | ? [v13] : ? [v14] : (in(v12, v2) = v14 & in(v11, v1) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & (v5 = 0 | (v10 = v4 & v9 = 0 & v8 = 0 & ordered_pair(v6, v7) = v4 & in(v7, v2) = 0 & in(v6, v1) = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (fiber(v1, v2) = v3) | ~ (relation(v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ordered_pair(v4, v2) = v6 & in(v6, v1) = v7 & in(v4, v0) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0) | v4 = v2) & (v5 = 0 | (v7 = 0 & ~ (v4 = v2))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (relation_inverse_image(v1, v2) = v3) | ~ (relation(v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ! [v10] : ! [v11] : ( ~ (ordered_pair(v4, v10) = v11) | ~ (in(v11, v1) = 0) | ? [v12] : ( ~ (v12 = 0) & in(v10, v2) = v12))) & (v5 = 0 | (v9 = 0 & v8 = 0 & ordered_pair(v4, v6) = v7 & in(v7, v1) = 0 & in(v6, v2) = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (relation_image(v1, v2) = v3) | ~ (relation(v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ! [v10] : ! [v11] : ( ~ (ordered_pair(v10, v4) = v11) | ~ (in(v11, v1) = 0) | ? [v12] : ( ~ (v12 = 0) & in(v10, v2) = v12))) & (v5 = 0 | (v9 = 0 & v8 = 0 & ordered_pair(v6, v4) = v7 & in(v7, v1) = 0 & in(v6, v2) = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_intersection2(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)) & (v5 = 0 | (v7 = 0 & v6 = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_union2(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v4, v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v5 = 0) | ( ~ (v7 = 0) & ~ (v6 = 0))) & (v7 = 0 | v6 = 0 | v5 = 0))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (unordered_pair(v1, v2) = v3) | ? [v4] : ? [v5] : (in(v4, v0) = v5 & ( ~ (v5 = 0) | ( ~ (v4 = v2) & ~ (v4 = v1))) & (v5 = 0 | v4 = v2 | v4 = v1))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (relation_inverse(v0) = v1) | ~ (relation(v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v3 = 0) & relation(v0) = v3) | (ordered_pair(v4, v3) = v7 & ordered_pair(v3, v4) = v5 & in(v7, v0) = v8 & in(v5, v2) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0)) & (v8 = 0 | v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (identity_relation(v0) = v2) | ~ (relation(v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ordered_pair(v3, v4) = v5 & in(v5, v1) = v6 & in(v3, v0) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v4 = v3)) & (v6 = 0 | (v7 = 0 & v4 = v3)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (set_union2(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (epsilon_connected(v0) = 0) | ~ (in(v2, v0) = 0) | ~ (in(v1, v0) = 0) | ? [v3] : ? [v4] : (in(v2, v1) = v4 & in(v1, v2) = v3 & (v4 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | v0 = empty_set | ~ (singleton(v1) = v2) | ~ (subset(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v0) = v1) | ~ (in(v2, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = empty_set | ~ (set_difference(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = empty_set | ~ (is_well_founded_in(v0, v1) = 0) | ~ (subset(v2, v1) = 0) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : (disjoint(v4, v2) = 0 & fiber(v0, v3) = v4 & in(v3, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (proper_subset(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (well_orders(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (is_well_founded_in(v0, v1) = v7 & is_reflexive_in(v0, v1) = v3 & is_transitive_in(v0, v1) = v4 & is_connected_in(v0, v1) = v6 & is_antisymmetric_in(v0, v1) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_well_founded_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ( ~ (v3 = empty_set) & subset(v3, v1) = 0 & ! [v4] : ! [v5] : ( ~ (disjoint(v5, v3) = 0) | ~ (fiber(v0, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & in(v4, v3) = v6)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : ? [v4] : (set_intersection2(v0, v1) = v3 & in(v4, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : ( ~ (v3 = v0) & set_difference(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : ( ~ (v3 = empty_set) & set_intersection2(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : (in(v3, v1) = 0 & in(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_reflexive_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ordered_pair(v3, v3) = v4 & in(v4, v0) = v5 & in(v3, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v1) = v0) | ~ (subset(v0, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (subset(empty_set, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (in(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (in(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_transitive_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = 0) & ordered_pair(v4, v5) = v7 & ordered_pair(v3, v5) = v8 & ordered_pair(v3, v4) = v6 & in(v8, v0) = v9 & in(v7, v0) = 0 & in(v6, v0) = 0 & in(v5, v1) = 0 & in(v4, v1) = 0 & in(v3, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_connected_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & ~ (v6 = 0) & ~ (v4 = v3) & ordered_pair(v4, v3) = v7 & ordered_pair(v3, v4) = v5 & in(v7, v0) = v8 & in(v5, v0) = v6 & in(v4, v1) = 0 & in(v3, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (is_antisymmetric_in(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v4 = v3) & ordered_pair(v4, v3) = v6 & ordered_pair(v3, v4) = v5 & in(v6, v0) = 0 & in(v5, v0) = 0 & in(v4, v1) = 0 & in(v3, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v1, v0) = v2) | ~ (epsilon_transitive(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v6 = 0 & ~ (v7 = 0) & ordered_pair(v3, v4) = v5 & in(v5, v1) = v7 & in(v5, v0) = 0) | ( ~ (v3 = 0) & relation(v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ordinal_subset(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (ordinal_subset(v1, v0) = v5 & ordinal(v1) = v4 & ordinal(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ordinal_subset(v0, v0) = v2) | ~ (ordinal(v1) = 0) | ? [v3] : ( ~ (v3 = 0) & ordinal(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ordinal(v1) = 0) | ~ (ordinal(v0) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_empty_yielding(v2) = v1) | ~ (relation_empty_yielding(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function_inverse(v2) = v1) | ~ (function_inverse(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_inverse(v2) = v1) | ~ (relation_inverse(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (being_limit_ordinal(v2) = v1) | ~ (being_limit_ordinal(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (well_ordering(v2) = v1) | ~ (well_ordering(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (reflexive(v2) = v1) | ~ (reflexive(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (union(v2) = v1) | ~ (union(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cast_to_subset(v2) = v1) | ~ (cast_to_subset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (well_founded_relation(v2) = v1) | ~ (well_founded_relation(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (set_meet(v2) = v1) | ~ (set_meet(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (transitive(v2) = v1) | ~ (transitive(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (connected(v2) = v1) | ~ (connected(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_field(v2) = v1) | ~ (relation_field(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (antisymmetric(v2) = v1) | ~ (antisymmetric(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (identity_relation(v2) = v1) | ~ (identity_relation(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (epsilon_connected(v2) = v1) | ~ (epsilon_connected(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ordinal(v2) = v1) | ~ (ordinal(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (epsilon_transitive(v2) = v1) | ~ (epsilon_transitive(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v0 = empty_set | ~ (relation_rng(v1) = v2) | ~ (subset(v0, v2) = 0) | ? [v3] : ? [v4] : (relation_inverse_image(v1, v0) = v4 & relation(v1) = v3 & ( ~ (v4 = empty_set) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v0 = empty_set | ~ (element(v2, v1) = 0) | ~ (powerset(v0) = v1) | ? [v3] : (subset_complement(v0, v2) = v3 & ! [v4] : ! [v5] : (v5 = 0 | ~ (in(v4, v3) = v5) | ? [v6] : ? [v7] : (element(v4, v0) = v6 & in(v4, v2) = v7 & ( ~ (v6 = 0) | v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation(v2) = v7 & relation(v1) = v5 & relation(v0) = v3 & function(v2) = v8 & function(v1) = v6 & function(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | (v8 = 0 & v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_composition(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (reflexive(v2) = v5 & reflexive(v1) = v4 & relation(v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (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(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (well_orders(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (well_ordering(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ordered_pair(v3, v2) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_difference(v0, v2) = v0) | ~ (singleton(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_difference(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (union(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : (in(v3, v0) = 0 & in(v2, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (is_well_founded_in(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (well_founded_relation(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (empty(v2) = v5 & empty(v1) = v4 & empty(v0) = v3 & ( ~ (v5 = 0) | v4 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (disjoint(v2, v1) = 0) | ~ (singleton(v0) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (disjoint(v0, v1) = 0) | ~ (in(v2, v0) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v2, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (element(v1, v2) = 0) | ~ (powerset(v0) = v2) | ? [v3] : (subset_complement(v0, v1) = v3 & set_difference(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (element(v1, v0) = v2) | ? [v3] : ? [v4] : (empty(v1) = v4 & empty(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (element(v1, v0) = v2) | ? [v3] : ? [v4] : (empty(v0) = v3 & in(v1, v0) = v4 & (v3 = 0 | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (element(v0, v2) = 0) | ~ (powerset(v1) = v2) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ (subset(v2, v0) = 0) | in(v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (is_reflexive_in(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (reflexive(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v2) | ~ (subset(v2, v1) = 0) | in(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v1) | ~ (set_union2(v0, v1) = v2) | succ(v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (is_transitive_in(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (transitive(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (is_connected_in(v0, v1) = v2) | ~ (relation_field(v0) = v1) | ? [v3] : ? [v4] : (connected(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_field(v0) = v1) | ~ (is_antisymmetric_in(v0, v1) = v2) | ? [v3] : ? [v4] : (antisymmetric(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v2) = v5 & relation(v1) = v3 & function(v2) = v6 & function(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom(v0) = v1) | ~ (relation_image(v0, v1) = v2) | ? [v3] : ? [v4] : (relation_rng(v0) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ordered_pair(v2, v3) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_empty_yielding(v2) = v6 & relation_empty_yielding(v0) = v4 & relation(v2) = v5 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation(v2) = v5 & relation(v0) = v3 & function(v2) = v6 & function(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (identity_relation(v0) = v2) | ~ (function(v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (relation_dom(v1) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = v0) | v2 = v1 | (v6 = 0 & ~ (v7 = v5) & apply(v1, v5) = v7 & in(v5, v0) = 0)) & ( ~ (v2 = v1) | (v4 = v0 & ! [v8] : ! [v9] : (v9 = v8 | ~ (apply(v1, v8) = v9) | ? [v10] : ( ~ (v10 = 0) & in(v8, v0) = v10)))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ordinal_subset(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (subset(v0, v1) = v5 & ordinal(v1) = v4 & ordinal(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | v5 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v1, v0) = v2) | ? [v3] : ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (relation(v2) = v5 & relation(v1) = v4 & relation(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | ? [v3] : ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (in(v1, v2) = 0) | ~ (in(v0, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v2, v0) = v3)) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | v1 = empty_set | ~ (set_meet(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v3, v0) = v4 & ( ~ (v4 = 0) | (v6 = 0 & ~ (v7 = 0) & in(v5, v1) = 0 & in(v3, v5) = v7)) & (v4 = 0 | ! [v8] : ! [v9] : (v9 = 0 | ~ (in(v3, v8) = v9) | ? [v10] : ( ~ (v10 = 0) & in(v8, v1) = v10))))) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (relation_rng(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) | ! [v8] : ! [v9] : ( ~ (ordered_pair(v8, v3) = v9) | ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v5, v3) = v6 & in(v6, v1) = 0))))) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (union(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (in(v3, v0) = v4 & ( ~ (v4 = 0) | ! [v8] : ( ~ (in(v3, v8) = 0) | ? [v9] : ( ~ (v9 = 0) & in(v8, v1) = v9))) & (v4 = 0 | (v7 = 0 & v6 = 0 & in(v5, v1) = 0 & in(v3, v5) = 0)))) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (powerset(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (subset(v3, v1) = v5 & in(v3, v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 = 0))) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v1) = v2) | ? [v3] : ? [v4] : (in(v3, v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = v1)) & (v4 = 0 | v3 = v1))) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (relation_dom(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) | ! [v8] : ! [v9] : ( ~ (ordered_pair(v3, v8) = v9) | ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v3, v5) = v6 & in(v6, v1) = 0))))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_difference(v0, empty_set) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (cast_to_subset(v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (subset(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & subset(v1, v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_union2(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_union2(v0, empty_set) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (relation(v1) = 0) | ~ (relation(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (ordered_pair(v2, v3) = v4 & in(v4, v1) = v6 & in(v4, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)) & (v6 = 0 | v5 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (ordinal(v1) = 0) | ~ (ordinal(v0) = 0) | ? [v2] : ? [v3] : (in(v1, v0) = v3 & in(v0, v1) = v2 & (v3 = 0 | v2 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0)) & ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_difference(empty_set, v0) = v1)) & ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_intersection2(v0, empty_set) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (being_limit_ordinal(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & v3 = 0 & ~ (v6 = 0) & succ(v2) = v5 & ordinal(v2) = 0 & in(v5, v0) = v6 & in(v2, v0) = 0) | ( ~ (v2 = 0) & ordinal(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (being_limit_ordinal(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v0 & v3 = 0 & succ(v2) = v0 & ordinal(v2) = 0) | ( ~ (v2 = 0) & ordinal(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (being_limit_ordinal(v0) = v1) | ? [v2] : ( ~ (v2 = v0) & union(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (transitive(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v8 = 0 & v6 = 0 & ~ (v10 = 0) & ordered_pair(v3, v4) = v7 & ordered_pair(v2, v4) = v9 & ordered_pair(v2, v3) = v5 & in(v9, v0) = v10 & in(v7, v0) = 0 & in(v5, v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (antisymmetric(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v5 = 0 & ~ (v3 = v2) & ordered_pair(v3, v2) = v6 & ordered_pair(v2, v3) = v4 & in(v6, v0) = 0 & in(v4, v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(empty_set, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (relation(v0) = v1) | ? [v2] : (in(v2, v0) = 0 & ! [v3] : ! [v4] : ~ (ordered_pair(v3, v4) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (epsilon_connected(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ~ (v4 = 0) & ~ (v3 = v2) & in(v3, v2) = v5 & in(v3, v0) = 0 & in(v2, v3) = v4 & in(v2, v0) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (ordinal(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (subset(v2, v0) = v4 & ordinal(v2) = v3 & in(v2, v0) = 0 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (epsilon_transitive(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & subset(v2, v0) = v3 & in(v2, v0) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (function(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & element(v3, v2) = 0 & powerset(v0) = v2 & empty(v3) = v4)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation_dom(v0) = v3 & relation(v0) = v2 & empty(v3) = v4 & ( ~ (v4 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v0 = empty_set | ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ( ~ (v3 = empty_set) & ~ (v1 = empty_set))))) & ! [v0] : ! [v1] : (v0 = empty_set | ~ (subset(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & ordinal(v2) = 0 & in(v2, v0) = 0 & ! [v5] : ! [v6] : (v6 = 0 | ~ (ordinal_subset(v2, v5) = v6) | ? [v7] : ? [v8] : (ordinal(v5) = v7 & in(v5, v0) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0))))) | ( ~ (v2 = 0) & ordinal(v1) = v2))) & ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_rng(v1) = v8 & relation_rng(v0) = v5 & relation_dom(v1) = v6 & relation_dom(v0) = v7 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | (v8 = v7 & v6 = v5)))) & ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_rng(v0) = v5 & relation_dom(v0) = v6 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ! [v7] : ( ~ (function(v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (relation_dom(v7) = v9 & relation(v7) = v8 & ( ~ (v8 = 0) | (( ~ (v9 = v5) | v7 = v1 | (apply(v7, v10) = v13 & apply(v0, v11) = v15 & in(v11, v6) = v14 & in(v10, v5) = v12 & ((v15 = v10 & v14 = 0 & ( ~ (v13 = v11) | ~ (v12 = 0))) | (v13 = v11 & v12 = 0 & ( ~ (v15 = v10) | ~ (v14 = 0)))))) & ( ~ (v7 = v1) | (v9 = v5 & ! [v16] : ! [v17] : ! [v18] : ( ~ (in(v17, v6) = v18) | ~ (in(v16, v5) = 0) | ? [v19] : ? [v20] : (apply(v1, v16) = v19 & apply(v0, v17) = v20 & ( ~ (v19 = v17) | (v20 = v16 & v18 = 0)))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (in(v17, v6) = 0) | ~ (in(v16, v5) = v18) | ? [v19] : ? [v20] : (apply(v1, v16) = v20 & apply(v0, v17) = v19 & ( ~ (v19 = v16) | (v20 = v17 & v18 = 0))))))))))))) & ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (relation_inverse(v0) = v5 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v5 = v1))) & ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (one_to_one(v1) = v5 & one_to_one(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ( ~ (function_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (relation(v1) = v4 & relation(v0) = v2 & function(v1) = v5 & function(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (relation_rng(v1) = v6 & relation_rng(v0) = v3 & relation_dom(v1) = v4 & relation_dom(v0) = v5 & relation(v0) = v2 & ( ~ (v2 = 0) | (v6 = v5 & v4 = v3)))) & ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (one_to_one(v0) = v4 & relation(v1) = v5 & relation(v0) = v2 & function(v1) = v6 & function(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : (relation_inverse(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = v0))) & ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : (relation(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (being_limit_ordinal(v0) = 0) | ~ (succ(v1) = v0) | ? [v2] : (( ~ (v2 = 0) & ordinal(v1) = v2) | ( ~ (v2 = 0) & ordinal(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (well_orders(v0, v1) = 0) | ~ (relation(v0) = 0) | (is_well_founded_in(v0, v1) = 0 & is_reflexive_in(v0, v1) = 0 & is_transitive_in(v0, v1) = 0 & is_connected_in(v0, v1) = 0 & is_antisymmetric_in(v0, v1) = 0)) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v0) = v3 & empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | v2 = 0))) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_rng(v4) = v5) | ~ (subset(v1, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (relation_dom(v4) = v9 & subset(v3, v9) = v10 & subset(v0, v4) = v8 & relation(v4) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (v10 = 0 & v6 = 0))))))) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ( ~ (relation_rng(v4) = v5) | ~ (subset(v3, v5) = 0) | ? [v6] : ? [v7] : ? [v8] : (relation_composition(v4, v0) = v7 & relation_rng(v7) = v8 & relation(v4) = v6 & ( ~ (v6 = 0) | v8 = v1)))))) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ( ~ (relation_dom(v4) = v5) | ~ (subset(v1, v5) = 0) | ? [v6] : ? [v7] : ? [v8] : (relation_composition(v0, v4) = v7 & relation_dom(v7) = v8 & relation(v4) = v6 & ( ~ (v6 = 0) | v8 = v3)))))) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : (relation_dom(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v3 = empty_set) | v1 = empty_set) & ( ~ (v1 = empty_set) | v3 = empty_set))))) & ! [v0] : ! [v1] : ( ~ (set_difference(v0, v1) = empty_set) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (well_ordering(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (reflexive(v0) = v3 & well_founded_relation(v0) = v7 & transitive(v0) = v4 & connected(v0) = v6 & antisymmetric(v0) = v5 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v1 = 0) & ( ~ (v1 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0)))))) & ! [v0] : ! [v1] : ( ~ (reflexive(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) | ! [v8] : ( ~ (in(v8, v3) = 0) | ? [v9] : (ordered_pair(v8, v8) = v9 & in(v9, v0) = 0))) & (v1 = 0 | (v5 = 0 & ~ (v7 = 0) & ordered_pair(v4, v4) = v6 & in(v6, v0) = v7 & in(v4, v3) = 0)))))) & ! [v0] : ! [v1] : ( ~ (union(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (epsilon_connected(v1) = v4 & ordinal(v1) = v5 & ordinal(v0) = v2 & epsilon_transitive(v1) = v3 & ( ~ (v2 = 0) | (v5 = 0 & v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ( ~ (well_founded_relation(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) | ! [v6] : (v6 = empty_set | ~ (subset(v6, v3) = 0) | ? [v7] : ? [v8] : (disjoint(v8, v6) = 0 & fiber(v0, v7) = v8 & in(v7, v6) = 0))) & (v1 = 0 | (v5 = 0 & ~ (v4 = empty_set) & subset(v4, v3) = 0 & ! [v6] : ! [v7] : ( ~ (disjoint(v7, v4) = 0) | ~ (fiber(v0, v6) = v7) | ? [v8] : ( ~ (v8 = 0) & in(v6, v4) = v8)))))))) & ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_difference(v0, v1) = v0) & ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | disjoint(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_intersection2(v0, v1) = empty_set) & ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | ? [v2] : (set_intersection2(v0, v1) = v2 & ! [v3] : ~ (in(v3, v2) = 0))) & ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0))) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | union(v1) = v0) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (element(v2, v1) = 0 & empty(v2) = 0)) & ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (epsilon_connected(v1) = v5 & ordinal(v1) = v6 & ordinal(v0) = v2 & epsilon_transitive(v1) = v4 & empty(v1) = v3 & ( ~ (v2 = 0) | (v6 = 0 & v5 = 0 & v4 = 0 & ~ (v3 = 0))))) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (connected(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (relation_field(v0) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v1 = 0) | ! [v12] : ! [v13] : (v13 = v12 | ~ (in(v13, v3) = 0) | ~ (in(v12, v3) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : (ordered_pair(v13, v12) = v16 & ordered_pair(v12, v13) = v14 & in(v16, v0) = v17 & in(v14, v0) = v15 & (v17 = 0 | v15 = 0)))) & (v1 = 0 | (v7 = 0 & v6 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v5 = v4) & ordered_pair(v5, v4) = v10 & ordered_pair(v4, v5) = v8 & in(v10, v0) = v11 & in(v8, v0) = v9 & in(v5, v3) = 0 & in(v4, v3) = 0)))))) & ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_rng(v1) = v0) & ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_dom(v1) = v0) & ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | relation(v1) = 0) & ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | function(v1) = 0) & ! [v0] : ! [v1] : ( ~ (unordered_pair(v0, v0) = v1) | singleton(v0) = v1) & ! [v0] : ! [v1] : ( ~ (one_to_one(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (relation_dom(v0) = v4 & relation(v0) = v2 & function(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0) | (( ~ (v1 = 0) | ! [v11] : ! [v12] : (v12 = v11 | ~ (in(v12, v4) = 0) | ~ (in(v11, v4) = 0) | ? [v13] : ? [v14] : ( ~ (v14 = v13) & apply(v0, v12) = v14 & apply(v0, v11) = v13))) & (v1 = 0 | (v10 = v9 & v8 = 0 & v7 = 0 & ~ (v6 = v5) & apply(v0, v6) = v9 & apply(v0, v5) = v9 & in(v6, v4) = 0 & in(v5, v4) = 0)))))) & ! [v0] : ! [v1] : ( ~ (one_to_one(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v0) = v2 & function(v0) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v1 = 0))) & ! [v0] : ! [v1] : ( ~ (relation(v0) = 0) | ~ (in(v1, v0) = 0) | ? [v2] : ? [v3] : ordered_pair(v2, v3) = v1) & ! [v0] : ! [v1] : ( ~ (epsilon_connected(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (ordinal(v0) = v4 & epsilon_transitive(v0) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0 & v1 = 0)))) & ! [v0] : ! [v1] : ( ~ (epsilon_connected(v0) = v1) | ? [v2] : ? [v3] : (ordinal(v0) = v2 & epsilon_transitive(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0)))) & ! [v0] : ! [v1] : ( ~ (epsilon_transitive(v0) = 0) | ~ (proper_subset(v0, v1) = 0) | ? [v2] : ? [v3] : (ordinal(v1) = v2 & in(v0, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (proper_subset(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & subset(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (proper_subset(v0, v1) = 0) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (proper_subset(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & proper_subset(v1, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : (in(v2, v1) = 0 & ! [v3] : ( ~ (in(v3, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & in(v3, v2) = v4)))) & ? [v0] : ! [v1] : ( ~ (function(v1) = 0) | ? [v2] : ? [v3] : (relation_dom(v1) = v3 & relation(v1) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_composition(v4, v1) = v5) | ~ (relation_dom(v5) = v6) | ~ (in(v0, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (relation_dom(v4) = v10 & apply(v4, v0) = v12 & relation(v4) = v8 & function(v4) = v9 & in(v12, v3) = v13 & in(v0, v10) = v11 & ( ~ (v9 = 0) | ~ (v8 = 0) | (( ~ (v13 = 0) | ~ (v11 = 0) | v7 = 0) & ( ~ (v7 = 0) | (v13 = 0 & v11 = 0))))))))) & ? [v0] : ! [v1] : ( ~ (function(v1) = 0) | ? [v2] : ? [v3] : (relation_dom(v1) = v3 & relation(v1) = v2 & ( ~ (v2 = 0) | ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_dom(v4) = v5) | ~ (set_intersection2(v5, v0) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (relation_dom_restriction(v4, v0) = v9 & relation(v4) = v7 & function(v4) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = v1) | (v6 = v3 & ! [v14] : ( ~ (in(v14, v3) = 0) | ? [v15] : (apply(v4, v14) = v15 & apply(v1, v14) = v15)))) & ( ~ (v6 = v3) | v9 = v1 | (v11 = 0 & ~ (v13 = v12) & apply(v4, v10) = v13 & apply(v1, v10) = v12 & in(v10, v3) = 0))))))))) & ! [v0] : (v0 = empty_set | ~ (set_meet(empty_set) = v0)) & ! [v0] : (v0 = empty_set | ~ (subset(v0, empty_set) = 0)) & ! [v0] : (v0 = empty_set | ~ (relation(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (ordered_pair(v1, v2) = v3 & in(v3, v0) = 0)) & ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0)) & ! [v0] : ( ~ (being_limit_ordinal(v0) = 0) | union(v0) = v0) & ! [v0] : ~ (singleton(v0) = empty_set) & ! [v0] : ( ~ (epsilon_connected(v0) = 0) | ? [v1] : ? [v2] : (ordinal(v0) = v2 & epsilon_transitive(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) & ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (relation_rng(v0) = v2 & relation_dom(v0) = v3 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (in(v6, v3) = 0) | ~ (in(v4, v2) = v5) | ? [v7] : ( ~ (v7 = v4) & apply(v0, v6) = v7)) & ! [v4] : ( ~ (in(v4, v2) = 0) | ? [v5] : (apply(v0, v5) = v4 & in(v5, v3) = 0)) & ? [v4] : (v4 = v2 | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (in(v5, v4) = v6 & ( ~ (v6 = 0) | ! [v10] : ( ~ (in(v10, v3) = 0) | ? [v11] : ( ~ (v11 = v5) & apply(v0, v10) = v11))) & (v6 = 0 | (v9 = v5 & v8 = 0 & apply(v0, v7) = v5 & in(v7, v3) = 0)))))))) & ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | ~ (relation_image(v0, v3) = v4) | ~ (in(v7, v2) = 0) | ~ (in(v5, v4) = v6) | ? [v8] : ? [v9] : (apply(v0, v7) = v9 & in(v7, v3) = v8 & ( ~ (v9 = v5) | ~ (v8 = 0)))) & ! [v3] : ! [v4] : ! [v5] : ( ~ (relation_image(v0, v3) = v4) | ~ (in(v5, v4) = 0) | ? [v6] : (apply(v0, v6) = v5 & in(v6, v3) = 0 & in(v6, v2) = 0)) & ? [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (relation_image(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (in(v6, v3) = v7 & ( ~ (v7 = 0) | ! [v12] : ( ~ (in(v12, v2) = 0) | ? [v13] : ? [v14] : (apply(v0, v12) = v14 & in(v12, v4) = v13 & ( ~ (v14 = v6) | ~ (v13 = 0))))) & (v7 = 0 | (v11 = v6 & v10 = 0 & v9 = 0 & apply(v0, v8) = v6 & in(v8, v4) = 0 & in(v8, v2) = 0)))))))) & ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_inverse_image(v0, v3) = v4) | ~ (apply(v0, v5) = v6) | ~ (in(v6, v3) = v7) | ? [v8] : ? [v9] : (in(v5, v4) = v8 & in(v5, v2) = v9 & ( ~ (v8 = 0) | (v9 = 0 & v7 = 0)))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_inverse_image(v0, v3) = v4) | ~ (apply(v0, v5) = v6) | ~ (in(v6, v3) = 0) | ? [v7] : ? [v8] : (in(v5, v4) = v8 & in(v5, v2) = v7 & ( ~ (v7 = 0) | v8 = 0))) & ? [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (relation_inverse_image(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (apply(v0, v6) = v9 & in(v9, v4) = v10 & in(v6, v3) = v7 & in(v6, v2) = v8 & ( ~ (v10 = 0) | ~ (v8 = 0) | ~ (v7 = 0)) & (v7 = 0 | (v10 = 0 & v8 = 0)))))))) & ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : (relation_dom(v0) = v2 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (ordered_pair(v3, v4) = v5) | ~ (in(v5, v0) = v6) | ? [v7] : ? [v8] : (apply(v0, v3) = v8 & in(v3, v2) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = v4) | v6 = 0) & ( ~ (v6 = 0) | v8 = v4))))) & ? [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (in(v4, v2) = v5) | ? [v6] : (apply(v0, v4) = v6 & ( ~ (v6 = v3) | v3 = empty_set) & ( ~ (v3 = empty_set) | v6 = empty_set))))))) & ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0) & ! [v0] : ( ~ (empty(v0) = 0) | ? [v1] : (relation_dom(v0) = v1 & relation(v1) = 0 & empty(v1) = 0)) & ! [v0] : ~ (proper_subset(v0, v0) = 0) & ! [v0] : ~ (in(v0, empty_set) = 0) & ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ? [v4] : (in(v2, v1) = v4 & in(v2, v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 | v3 = 0))) & ? [v0] : ? [v1] : element(v1, v0) = 0 & ? [v0] : ? [v1] : (in(v0, v1) = 0 & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (powerset(v2) = v3) | ~ (in(v3, v1) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v2, v1) = v5)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (are_equipotent(v2, v1) = v3) | ? [v4] : ? [v5] : (subset(v2, v1) = v4 & in(v2, v1) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ! [v3] : ( ~ (subset(v3, v2) = 0) | ? [v4] : ? [v5] : (in(v3, v1) = v5 & in(v2, v1) = v4 & ( ~ (v4 = 0) | v5 = 0)))) & ? [v0] : ? [v1] : (in(v0, v1) = 0 & ! [v2] : ! [v3] : (v3 = 0 | ~ (are_equipotent(v2, v1) = v3) | ? [v4] : ? [v5] : (subset(v2, v1) = v4 & in(v2, v1) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ! [v3] : ( ~ (subset(v3, v2) = 0) | ? [v4] : ? [v5] : (in(v3, v1) = v5 & in(v2, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v2] : ( ~ (in(v2, v1) = 0) | ? [v3] : (in(v3, v1) = 0 & ! [v4] : ( ~ (subset(v4, v2) = 0) | in(v4, v3) = 0)))) & ? [v0] : (v0 = empty_set | ? [v1] : in(v1, v0) = 0)
% 161.40/101.21 |
% 161.40/101.21 | Applying alpha-rule on (1) yields:
% 161.40/101.21 | (2) ! [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))))
% 161.40/101.21 | (3) ! [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))))
% 161.40/101.21 | (4) ! [v0] : ! [v1] : (v1 = 0 | ~ (relation(v0) = v1) | ? [v2] : (in(v2, v0) = 0 & ! [v3] : ! [v4] : ~ (ordered_pair(v3, v4) = v2)))
% 161.40/101.21 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (disjoint(v2, v1) = 0) | ~ (singleton(v0) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 161.40/101.21 | (6) ! [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))))
% 161.40/101.21 | (7) function(all_0_0_0) = 0
% 161.40/101.21 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v1, v3) = 0) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ? [v4] : (complements_of_subsets(v0, v1) = v4 & ! [v5] : (v5 = v4 | ~ (element(v5, v3) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subset_complement(v0, v6) = v8 & element(v6, v2) = 0 & in(v8, v1) = v9 & in(v6, v5) = v7 & ( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))) & ! [v5] : ( ~ (element(v5, v2) = 0) | ~ (element(v4, v3) = 0) | ? [v6] : ? [v7] : ? [v8] : (subset_complement(v0, v5) = v7 & in(v7, v1) = v8 & in(v5, v4) = v6 & ( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0)))))
% 161.40/101.21 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union_of_subsets(v3, v2) = v1) | ~ (union_of_subsets(v3, v2) = v0))
% 161.80/101.21 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v0, v3) = v4))
% 161.80/101.21 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (union(v2) = v1) | ~ (union(v2) = v0))
% 161.80/101.21 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (proper_subset(v3, v2) = v1) | ~ (proper_subset(v3, v2) = v0))
% 161.80/101.21 | (13) ! [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))))
% 161.80/101.21 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cast_to_subset(v2) = v1) | ~ (cast_to_subset(v2) = v0))
% 161.80/101.21 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_field(v2) = v1) | ~ (relation_field(v2) = v0))
% 161.80/101.21 | (16) ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0)
% 161.80/101.21 | (17) ! [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)))))
% 161.80/101.21 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0))
% 161.80/101.21 | (19) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (proper_subset(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 161.80/101.21 | (20) ! [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)))
% 161.80/101.21 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0))
% 161.80/101.21 | (22) ! [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))))
% 161.80/101.21 | (23) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | v0 = empty_set | ~ (singleton(v1) = v2) | ~ (subset(v0, v2) = 0))
% 161.80/101.21 | (24) ! [v0] : ~ (proper_subset(v0, v0) = 0)
% 161.80/101.21 | (25) ! [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))))
% 161.80/101.21 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (well_orders(v3, v2) = v1) | ~ (well_orders(v3, v2) = v0))
% 161.80/101.21 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v1, v3) = 0) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ? [v4] : (union_of_subsets(v0, v1) = v4 & union(v1) = v4))
% 161.80/101.21 | (28) function(all_0_14_14) = 0
% 161.80/101.21 | (29) ! [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))))
% 161.80/101.21 | (30) ! [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))))))))
% 161.80/101.21 | (31) ! [v0] : ! [v1] : ( ~ (unordered_pair(v0, v0) = v1) | singleton(v0) = v1)
% 161.80/101.21 | (32) ! [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)))
% 161.80/101.21 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (subset_complement(v0, v2) = v3) | ~ (subset_complement(v0, v1) = v2) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & element(v1, v4) = v5 & powerset(v0) = v4))
% 161.80/101.21 | (34) ! [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)))
% 161.80/101.21 | (35) ! [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))
% 161.80/101.21 | (36) ordinal(empty_set) = 0
% 161.80/101.21 | (37) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 161.80/101.21 | (38) relation_empty_yielding(all_0_14_14) = 0
% 161.80/101.21 | (39) relation(all_0_5_5) = 0
% 161.80/101.21 | (40) relation(all_0_4_4) = 0
% 161.80/101.21 | (41) ! [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)))
% 161.80/101.21 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (disjoint(v0, v1) = 0) | ~ (in(v2, v0) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v2, v1) = v3))
% 161.80/101.22 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3))
% 161.80/101.22 | (44) ! [v0] : ! [v1] : (v1 = v0 | ~ (cast_to_subset(v0) = v1))
% 161.80/101.22 | (45) ! [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))))
% 161.80/101.22 | (46) ! [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))))
% 161.80/101.22 | (47) ! [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))
% 161.80/101.22 | (48) ! [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)))
% 161.80/101.22 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0))
% 161.80/101.22 | (50) ! [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))))
% 161.80/101.22 | (51) ! [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))))))
% 161.80/101.22 | (52) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (in(v0, v1) = v2))
% 161.80/101.22 | (53) ! [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)))
% 161.80/101.22 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0))
% 161.80/101.22 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (connected(v2) = v1) | ~ (connected(v2) = v0))
% 161.80/101.22 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (transitive(v2) = v1) | ~ (transitive(v2) = v0))
% 161.80/101.22 | (57) ! [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)))
% 161.80/101.22 | (58) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (well_orders(v0, v1) = v2) | ~ (relation(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (is_well_founded_in(v0, v1) = v7 & is_reflexive_in(v0, v1) = v3 & is_transitive_in(v0, v1) = v4 & is_connected_in(v0, v1) = v6 & is_antisymmetric_in(v0, v1) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))))
% 161.80/101.22 | (59) ? [v0] : (v0 = empty_set | ? [v1] : in(v1, v0) = 0)
% 161.80/101.22 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (ordered_pair(v2, v3) = v4) | ~ (ordered_pair(v0, v1) = v4))
% 161.80/101.22 | (61) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 161.80/101.22 | (62) ! [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)))
% 161.80/101.22 | (63) ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0))))
% 161.80/101.22 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (set_difference(v0, v2) = v3) | ~ (singleton(v1) = v2) | in(v1, v0) = 0)
% 161.80/101.22 | (65) ? [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))))
% 161.80/101.22 | (66) epsilon_transitive(all_0_5_5) = 0
% 161.80/101.22 | (67) ! [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)))
% 161.80/101.22 | (68) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_union2(v0, v0) = v1))
% 161.80/101.22 | (69) ~ (all_0_15_15 = 0)
% 161.80/101.22 | (70) ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v1) | ~ (set_union2(v0, v1) = v2) | succ(v0) = v2)
% 161.80/101.22 | (71) empty(empty_set) = 0
% 161.80/101.22 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (element(v0, v2) = v3) | ~ (powerset(v1) = v2) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 161.80/101.22 | (73) ! [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))))
% 161.80/101.22 | (74) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0))
% 161.80/101.22 | (75) ! [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))))
% 161.80/101.22 | (76) ! [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)))
% 161.80/101.22 | (77) relation(empty_set) = 0
% 161.80/101.22 | (78) ! [v0] : ~ (in(v0, empty_set) = 0)
% 161.80/101.22 | (79) ! [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))))))
% 161.80/101.22 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (singleton(v1) = v3) | ~ (singleton(v0) = v2) | ~ (subset(v2, v3) = 0))
% 161.80/101.22 | (81) ? [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)))
% 161.80/101.22 | (82) ! [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)))
% 161.80/101.22 | (83) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 161.80/101.22 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0))
% 161.80/101.22 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = empty_set | ~ (subset_difference(v0, v2, v3) = v4) | ~ (union_of_subsets(v0, v1) = v3) | ~ (cast_to_subset(v0) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (meet_of_subsets(v0, v8) = v9 & complements_of_subsets(v0, v1) = v8 & element(v1, v6) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & ( ~ (v7 = 0) | v9 = v4)))
% 161.80/101.22 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (element(v0, v2) = v3) | ~ (powerset(v1) = v2) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & in(v4, v1) = v5 & in(v4, v0) = 0))
% 161.80/101.22 | (87) ! [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))))
% 161.80/101.22 | (88) ? [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)))
% 161.80/101.23 | (89) relation(all_0_2_2) = 0
% 161.80/101.23 | (90) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 161.80/101.23 | (91) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 161.80/101.23 | (92) ! [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)))
% 161.80/101.23 | (93) relation_dom(empty_set) = empty_set
% 161.80/101.23 | (94) ! [v0] : ! [v1] : ( ~ (being_limit_ordinal(v0) = 0) | ~ (succ(v1) = v0) | ? [v2] : (( ~ (v2 = 0) & ordinal(v1) = v2) | ( ~ (v2 = 0) & ordinal(v0) = v2)))
% 161.80/101.23 | (95) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : ( ~ (v3 = empty_set) & set_intersection2(v0, v1) = v3))
% 161.80/101.23 | (96) powerset(empty_set) = all_0_19_19
% 161.80/101.23 | (97) ! [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)))))
% 161.80/101.23 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset_complement(v3, v2) = v1) | ~ (subset_complement(v3, v2) = v0))
% 161.80/101.23 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (complements_of_subsets(v0, v1) = v4) | ~ (element(v4, v3) = v5) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ? [v6] : ( ~ (v6 = 0) & element(v1, v3) = v6))
% 161.80/101.23 | (100) ! [v0] : ! [v1] : ! [v2] : ( ~ (element(v0, v2) = 0) | ~ (powerset(v1) = v2) | subset(v0, v1) = 0)
% 161.80/101.23 | (101) ! [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)))
% 161.80/101.23 | (102) ! [v0] : ! [v1] : ( ~ (set_difference(v0, v1) = empty_set) | subset(v0, v1) = 0)
% 161.80/101.23 | (103) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0))
% 161.80/101.23 | (104) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_inverse(v2) = v1) | ~ (relation_inverse(v2) = v0))
% 161.80/101.23 | (105) ! [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)))
% 161.80/101.23 | (106) ! [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)))))
% 161.80/101.23 | (107) ! [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))
% 161.80/101.23 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (meet_of_subsets(v3, v2) = v1) | ~ (meet_of_subsets(v3, v2) = v0))
% 161.80/101.23 | (109) ! [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)
% 161.80/101.23 | (110) ! [v0] : ! [v1] : ( ~ (union(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (epsilon_connected(v1) = v4 & ordinal(v1) = v5 & ordinal(v0) = v2 & epsilon_transitive(v1) = v3 & ( ~ (v2 = 0) | (v5 = 0 & v4 = 0 & v3 = 0))))
% 161.80/101.23 | (111) ! [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)))
% 161.80/101.23 | (112) ! [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))
% 161.80/101.23 | (113) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_union2(v0, empty_set) = v1))
% 161.80/101.23 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (cast_to_subset(v0) = v1) | ~ (element(v1, v2) = v3) | ~ (powerset(v0) = v2))
% 161.80/101.23 | (115) ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 161.80/101.23 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v3, v2) = 0) | ~ (element(v1, v2) = 0) | ~ (powerset(v0) = v2) | ? [v4] : ? [v5] : ? [v6] : (subset_complement(v0, v3) = v5 & disjoint(v1, v3) = v4 & subset(v1, v5) = v6 & ( ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | v6 = 0)))
% 161.80/101.23 | (117) ! [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)))
% 161.80/101.23 | (118) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (well_ordering(v2) = v1) | ~ (well_ordering(v2) = v0))
% 161.80/101.23 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (union(v1) = v2) | ~ (subset(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 161.80/101.23 | (120) ! [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))
% 161.80/101.23 | (121) ! [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)))
% 161.80/101.23 | (122) ! [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))))
% 161.80/101.23 | (123) relation(all_0_10_10) = 0
% 161.80/101.23 | (124) ! [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)))))
% 161.80/101.23 | (125) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 161.80/101.23 | (126) ! [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)))
% 161.80/101.23 | (127) ! [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))
% 161.80/101.23 | (128) relation_empty_yielding(empty_set) = 0
% 161.80/101.23 | (129) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (set_union2(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 161.80/101.23 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 161.80/101.23 | (131) ! [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))))))
% 161.80/101.23 | (132) ? [v0] : ? [v1] : element(v1, v0) = 0
% 161.80/101.23 | (133) epsilon_transitive(empty_set) = 0
% 161.80/101.23 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = empty_set | ~ (element(v1, v3) = 0) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ? [v4] : ( ~ (v4 = empty_set) & complements_of_subsets(v0, v1) = v4))
% 161.80/101.23 | (135) ! [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)))))
% 161.80/101.23 | (136) ! [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)))
% 161.80/101.24 | (137) ! [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))))))
% 161.80/101.24 | (138) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (epsilon_connected(v1) = v5 & ordinal(v1) = v6 & ordinal(v0) = v2 & epsilon_transitive(v1) = v4 & empty(v1) = v3 & ( ~ (v2 = 0) | (v6 = 0 & v5 = 0 & v4 = 0 & ~ (v3 = 0)))))
% 161.80/101.24 | (139) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2)
% 161.80/101.24 | (140) ! [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)))
% 161.80/101.24 | (141) ! [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))))))
% 161.80/101.24 | (142) ! [v0] : ! [v1] : ( ~ (epsilon_transitive(v0) = 0) | ~ (proper_subset(v0, v1) = 0) | ? [v2] : ? [v3] : (ordinal(v1) = v2 & in(v0, v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 161.80/101.24 | (143) ! [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))))))
% 161.80/101.24 | (144) ordinal(all_0_12_12) = 0
% 161.80/101.24 | (145) empty(all_0_9_9) = all_0_8_8
% 161.80/101.24 | (146) ! [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)))
% 161.80/101.24 | (147) ! [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)))
% 161.80/101.24 | (148) ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0))
% 161.80/101.24 | (149) ! [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))
% 161.80/101.24 | (150) ! [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))))))
% 161.80/101.24 | (151) ~ (all_0_11_11 = 0)
% 161.80/101.24 | (152) ! [v0] : ! [v1] : (v1 = 0 | ~ (epsilon_transitive(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & subset(v2, v0) = v3 & in(v2, v0) = 0))
% 161.80/101.24 | (153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0))
% 161.80/101.24 | (154) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (element(v1, v2) = 0) | ~ (powerset(v0) = v2) | ~ (in(v3, v0) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v3, v1) = v5))
% 161.80/101.24 | (155) ! [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)))))))
% 161.80/101.24 | (156) ! [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))
% 161.80/101.24 | (157) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v1, v3) = 0) | ~ (powerset(v2) = v3) | ~ (in(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4))
% 161.80/101.24 | (158) ! [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)))))))))
% 161.80/101.24 | (159) ? [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))))
% 161.80/101.24 | (160) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : (in(v3, v1) = 0 & in(v3, v0) = 0))
% 161.80/101.24 | (161) ? [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))))
% 161.80/101.24 | (162) ! [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)))))
% 161.80/101.24 | (163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apply(v3, v2) = v1) | ~ (apply(v3, v2) = v0))
% 161.80/101.24 | (164) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v1, v0) = v2) | ? [v3] : ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0)))
% 161.80/101.24 | (165) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v2, v3) = 0) | ~ (powerset(v0) = v3) | ~ (in(v1, v2) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & subset_complement(v0, v2) = v4 & in(v1, v4) = v5))
% 161.80/101.24 | (166) ! [v0] : ! [v1] : ! [v2] : ( ~ (in(v1, v2) = 0) | ~ (in(v0, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v2, v0) = v3))
% 161.80/101.24 | (167) ! [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))))
% 161.80/101.24 | (168) ! [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))))
% 161.80/101.24 | (169) ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(empty_set, v0) = v1))
% 161.80/101.24 | (170) function(all_0_4_4) = 0
% 161.80/101.24 | (171) ordinal(all_0_1_1) = 0
% 161.80/101.24 | (172) ! [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))))
% 161.80/101.24 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = 0 | ~ (cartesian_product2(v0, v1) = v2) | ~ (ordered_pair(v5, v6) = v3) | ~ (in(v3, v2) = v4) | ? [v7] : ? [v8] : (in(v6, v1) = v8 & in(v5, v0) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))))
% 161.80/101.24 | (174) ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | ? [v2] : (set_intersection2(v0, v1) = v2 & ! [v3] : ~ (in(v3, v2) = 0)))
% 161.80/101.24 | (175) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v0) = v1) | ~ (in(v2, v1) = 0))
% 161.80/101.24 | (176) ! [v0] : (v0 = empty_set | ~ (subset(v0, empty_set) = 0))
% 161.80/101.24 | (177) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (antisymmetric(v2) = v1) | ~ (antisymmetric(v2) = v0))
% 161.80/101.24 | (178) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_difference(v0, v2) = v0) | ~ (singleton(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3))
% 161.80/101.25 | (179) ! [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)))
% 161.80/101.25 | (180) ! [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))))
% 161.80/101.25 | (181) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (cartesian_product2(v2, v3) = v5) | ~ (ordered_pair(v0, v1) = v4) | ~ (in(v4, v5) = 0) | (in(v1, v3) = 0 & in(v0, v2) = 0))
% 161.80/101.25 | (182) ! [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))
% 161.80/101.25 | (183) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (complements_of_subsets(v3, v2) = v1) | ~ (complements_of_subsets(v3, v2) = v0))
% 161.80/101.25 | (184) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | union(v1) = v0)
% 161.80/101.25 | (185) one_to_one(all_0_10_10) = 0
% 161.80/101.25 | (186) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v1, v1) = v2) | ~ (set_intersection2(v0, v2) = v3) | ~ (relation(v0) = 0) | relation_restriction(v0, v1) = v3)
% 161.80/101.25 | (187) ! [v0] : ! [v1] : (v1 = v0 | ~ (subset(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & subset(v1, v0) = v2))
% 161.80/101.25 | (188) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (singleton(v0) = v3) | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4)
% 161.80/101.25 | (189) ! [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))))))
% 161.80/101.25 | (190) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v1, v0) = v2) | ~ (set_union2(v0, v2) = v3) | set_union2(v0, v1) = v3)
% 161.80/101.25 | (191) ! [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))))
% 161.80/101.25 | (192) one_to_one(empty_set) = 0
% 161.80/101.25 | (193) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (cartesian_product2(v1, v3) = v5) | ~ (cartesian_product2(v0, v2) = v4) | ~ (subset(v4, v5) = v6) | ? [v7] : ? [v8] : (subset(v2, v3) = v8 & subset(v0, v1) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))))
% 161.80/101.25 | (194) relation_rng(empty_set) = empty_set
% 161.80/101.25 | (195) ! [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))))
% 161.80/101.25 | (196) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_transitive_in(v3, v2) = v1) | ~ (is_transitive_in(v3, v2) = v0))
% 161.80/101.25 | (197) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v0 | v2 = v0 | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v4))
% 161.80/101.25 | (198) ! [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))
% 161.80/101.25 | (199) empty(all_0_3_3) = 0
% 161.80/101.25 | (200) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_composition(v3, v2) = v1) | ~ (relation_composition(v3, v2) = v0))
% 161.80/101.25 | (201) relation(all_0_7_7) = 0
% 161.80/101.25 | (202) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (apply(v2, v1) = v3) | ~ (identity_relation(v0) = v2) | ? [v4] : ( ~ (v4 = 0) & in(v1, v0) = v4))
% 161.80/101.25 | (203) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ordinal(v1) = 0) | ~ (ordinal(v0) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 161.80/101.25 | (204) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (in(v0, v2) = v3))
% 161.80/101.25 | (205) ? [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))))
% 161.80/101.25 | (206) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (meet_of_subsets(v0, v1) = v3) | ~ (element(v3, v2) = v4) | ~ (powerset(v0) = v2) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & element(v1, v5) = v6 & powerset(v2) = v5))
% 161.80/101.25 | (207) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v2, v3) = 0) | ~ (element(v1, v3) = 0) | ~ (powerset(v0) = v3) | ? [v4] : (subset_difference(v0, v1, v2) = v4 & set_difference(v1, v2) = v4))
% 161.80/101.25 | (208) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : (in(v2, v1) = 0 & ! [v3] : ( ~ (in(v3, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & in(v3, v2) = v4))))
% 161.80/101.25 | (209) ! [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)
% 161.80/101.25 | (210) ! [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)))))
% 161.80/101.25 | (211) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0))
% 161.80/101.25 | (212) ! [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)))))))))))))
% 161.80/101.25 | (213) relation(all_0_13_13) = 0
% 161.80/101.25 | (214) antisymmetric(all_0_16_16) = all_0_15_15
% 161.80/101.25 | (215) ! [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)))))
% 161.80/101.25 | (216) ! [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)))))
% 161.80/101.25 | (217) ! [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))
% 161.80/101.25 | (218) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (epsilon_transitive(v2) = v1) | ~ (epsilon_transitive(v2) = v0))
% 161.80/101.25 | (219) ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ? [v4] : (in(v2, v1) = v4 & in(v2, v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 | v3 = 0)))
% 161.80/101.25 | (220) epsilon_connected(all_0_1_1) = 0
% 161.80/101.25 | (221) ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_dom(v1) = v0)
% 161.80/101.25 | (222) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (subset_difference(v4, v3, v2) = v1) | ~ (subset_difference(v4, v3, v2) = v0))
% 161.80/101.26 | (223) ! [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))
% 161.80/101.26 | (224) ! [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))))))
% 161.80/101.26 | (225) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 161.80/101.26 | (226) ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v0) = v3 & empty(v1) = v4 & empty(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | v2 = 0)))
% 161.80/101.26 | (227) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (element(v2, v1) = 0 & empty(v2) = 0))
% 161.80/101.26 | (228) ! [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)))
% 161.80/101.26 | (229) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_image(v3, v2) = v1) | ~ (relation_image(v3, v2) = v0))
% 161.80/101.26 | (230) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_connected_in(v3, v2) = v1) | ~ (is_connected_in(v3, v2) = v0))
% 161.80/101.26 | (231) epsilon_transitive(all_0_12_12) = 0
% 161.80/101.26 | (232) ? [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)))))))))
% 161.80/101.26 | (233) ! [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))))
% 161.80/101.26 | (234) ! [v0] : ! [v1] : (v1 = 0 | ~ (function(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2))
% 161.80/101.26 | (235) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (set_difference(v0, v1) = v2) | ~ (subset(v2, v0) = v3))
% 161.80/101.26 | (236) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v0) = v1) | ~ (subset(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v2, v1) = v4))
% 161.80/101.26 | (237) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v1, v3) = v4))
% 161.80/101.26 | (238) relation(all_0_14_14) = 0
% 161.80/101.26 | (239) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (identity_relation(v2) = v1) | ~ (identity_relation(v2) = v0))
% 161.80/101.26 | (240) ! [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))))
% 161.80/101.26 | (241) ! [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))
% 161.80/101.26 | (242) ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0))
% 161.80/101.26 | (243) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_dom_restriction(v3, v2) = v1) | ~ (relation_dom_restriction(v3, v2) = v0))
% 161.80/101.26 | (244) ! [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)))))
% 161.80/101.26 | (245) ! [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)))
% 161.80/101.26 | (246) ! [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)))
% 161.80/101.26 | (247) ! [v0] : ! [v1] : ! [v2] : ( ~ (element(v1, v2) = 0) | ~ (powerset(v0) = v2) | ? [v3] : (subset_complement(v0, v1) = v3 & set_difference(v0, v1) = v3))
% 161.80/101.26 | (248) ! [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)))
% 161.80/101.26 | (249) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0))
% 161.80/101.26 | (250) relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16
% 161.80/101.26 | (251) ! [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)))))
% 161.80/101.26 | (252) relation(all_0_0_0) = 0
% 161.80/101.26 | (253) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subset(v3, v2) = 0) | ~ (unordered_pair(v0, v1) = v3) | (in(v1, v2) = 0 & in(v0, v2) = 0))
% 161.80/101.26 | (254) ! [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)))
% 161.80/101.26 | (255) empty(all_0_12_12) = all_0_11_11
% 161.80/101.26 | (256) ! [v0] : ! [v1] : ! [v2] : ( ~ (union(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : (in(v3, v0) = 0 & in(v2, v3) = 0))
% 161.80/101.26 | (257) ! [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))))
% 161.80/101.26 | (258) ! [v0] : ! [v1] : ( ~ (epsilon_connected(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (ordinal(v0) = v4 & epsilon_transitive(v0) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0 & v1 = 0))))
% 161.80/101.26 | (259) ! [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))))
% 161.80/101.26 | (260) ! [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))))
% 161.80/101.26 | (261) relation_empty_yielding(all_0_13_13) = 0
% 161.80/101.26 | (262) empty(all_0_2_2) = 0
% 161.80/101.26 | (263) one_to_one(all_0_5_5) = 0
% 161.80/101.26 | (264) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (subset(empty_set, v1) = v2))
% 161.80/101.26 | (265) ? [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)))
% 161.80/101.26 | (266) ! [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)))
% 161.80/101.26 | (267) ! [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)))
% 161.80/101.27 | (268) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (in(v0, v1) = v2))
% 161.80/101.27 | (269) ! [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)))
% 161.80/101.27 | (270) ! [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))
% 161.80/101.27 | (271) ! [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)))))
% 161.80/101.27 | (272) ! [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)))
% 161.80/101.27 | (273) epsilon_connected(empty_set) = 0
% 161.80/101.27 | (274) ! [v0] : (v0 = empty_set | ~ (relation(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (ordered_pair(v1, v2) = v3 & in(v3, v0) = 0))
% 161.80/101.27 | (275) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordinal_subset(v3, v2) = v1) | ~ (ordinal_subset(v3, v2) = v0))
% 161.80/101.27 | (276) ! [v0] : ! [v1] : ! [v2] : (v2 = empty_set | ~ (set_difference(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 161.80/101.27 | (277) ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_difference(empty_set, v0) = v1))
% 161.80/101.27 | (278) ! [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)))))))
% 161.80/101.27 | (279) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subset_difference(v0, v1, v2) = v4) | ~ (element(v4, v3) = v5) | ~ (powerset(v0) = v3) | ? [v6] : ? [v7] : (element(v2, v3) = v7 & element(v1, v3) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 161.80/101.27 | (280) ! [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)))
% 161.80/101.27 | (281) function(empty_set) = 0
% 161.80/101.27 | (282) ! [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)))))
% 161.80/101.27 | (283) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v1, v0) = v2) | ~ (epsilon_transitive(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & in(v1, v0) = v3))
% 161.80/101.27 | (284) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v1, v3) = 0) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ? [v4] : (complements_of_subsets(v0, v4) = v1 & complements_of_subsets(v0, v1) = v4))
% 161.80/101.27 | (285) ! [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))))))
% 161.80/101.27 | (286) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_rng_restriction(v0, v1) = v2) | ~ (subset(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4))
% 161.80/101.27 | (287) ! [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)))
% 161.80/101.27 | (288) ! [v0] : ! [v1] : ( ~ (epsilon_connected(v0) = v1) | ? [v2] : ? [v3] : (ordinal(v0) = v2 & epsilon_transitive(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0))))
% 161.80/101.27 | (289) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0)
% 161.80/101.27 | (290) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_rng_restriction(v3, v2) = v1) | ~ (relation_rng_restriction(v3, v2) = v0))
% 161.80/101.27 | (291) ? [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)))))
% 161.80/101.27 | (292) ! [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)))
% 161.80/101.27 | (293) ! [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))
% 161.80/101.27 | (294) ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v2) | ~ (subset(v2, v1) = 0) | in(v0, v1) = 0)
% 161.80/101.27 | (295) ! [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))
% 161.80/101.27 | (296) ! [v0] : (v0 = empty_set | ~ (set_meet(empty_set) = v0))
% 161.80/101.27 | (297) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_difference(v3, v2) = v1) | ~ (set_difference(v3, v2) = v0))
% 161.80/101.27 | (298) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ (subset(v2, v0) = 0) | in(v2, v1) = 0)
% 161.80/101.27 | (299) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (in(v1, v2) = v3))
% 161.80/101.27 | (300) ! [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))
% 161.80/101.27 | (301) ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0)))
% 161.80/101.27 | (302) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_dom_restriction(v1, v0) = v2) | ~ (subset(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation(v1) = v4))
% 161.80/101.27 | (303) ! [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))))
% 161.80/101.27 | (304) ! [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))))
% 161.80/101.27 | (305) ? [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))))
% 161.80/101.27 | (306) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (well_founded_relation(v2) = v1) | ~ (well_founded_relation(v2) = v0))
% 161.80/101.27 | (307) ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3))
% 161.80/101.27 | (308) ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation_dom(v0) = v3 & relation(v0) = v2 & empty(v3) = v4 & ( ~ (v4 = 0) | ~ (v2 = 0))))
% 161.80/101.28 | (309) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v2, v1) = v3) | ~ (set_union2(v0, v1) = v2) | set_difference(v0, v1) = v3)
% 161.80/101.28 | (310) ! [v0] : ! [v1] : (v1 = v0 | ~ (ordinal(v1) = 0) | ~ (ordinal(v0) = 0) | ? [v2] : ? [v3] : (in(v1, v0) = v3 & in(v0, v1) = v2 & (v3 = 0 | v2 = 0)))
% 161.80/101.28 | (311) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_inverse_image(v3, v2) = v1) | ~ (relation_inverse_image(v3, v2) = v0))
% 161.80/101.28 | (312) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0))
% 161.80/101.28 | (313) ! [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)))
% 161.80/101.28 | (314) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjoint(v1, v2) = 0) | ~ (disjoint(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 161.80/101.28 | (315) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v2) = v3) | ~ (set_union2(v0, v1) = v2))
% 161.80/101.28 | (316) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 161.80/101.28 | (317) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjoint(v2, v1) = v3) | ~ (singleton(v0) = v2) | in(v0, v1) = 0)
% 161.80/101.28 | (318) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (epsilon_connected(v2) = v1) | ~ (epsilon_connected(v2) = v0))
% 161.80/101.28 | (319) ! [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))))
% 161.80/101.28 | (320) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (cartesian_product2(v2, v3) = v5) | ~ (ordered_pair(v0, v1) = v4) | ~ (in(v4, v5) = v6) | ? [v7] : ? [v8] : (in(v1, v3) = v8 & in(v0, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))))
% 161.80/101.28 | (321) ! [v0] : ! [v1] : ! [v2] : (v0 = empty_set | ~ (element(v2, v1) = 0) | ~ (powerset(v0) = v1) | ? [v3] : (subset_complement(v0, v2) = v3 & ! [v4] : ! [v5] : (v5 = 0 | ~ (in(v4, v3) = v5) | ? [v6] : ? [v7] : (element(v4, v0) = v6 & in(v4, v2) = v7 & ( ~ (v6 = 0) | v7 = 0)))))
% 161.80/101.28 | (322) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (reflexive(v2) = v1) | ~ (reflexive(v2) = v0))
% 161.80/101.28 | (323) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (set_difference(v1, v0) = v2) | ~ (set_union2(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 161.80/101.28 | (324) ! [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))))))))
% 161.80/101.28 | (325) empty(all_0_4_4) = 0
% 161.80/101.28 | (326) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1))
% 161.80/101.28 | (327) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v3 = v0 | ~ (unordered_pair(v0, v1) = v2) | ~ (in(v3, v2) = 0))
% 161.80/101.28 | (328) ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1))
% 161.80/101.28 | (329) epsilon_connected(all_0_5_5) = 0
% 161.80/101.28 | (330) ! [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))))
% 161.80/101.28 | (331) empty(all_0_5_5) = 0
% 161.80/101.28 | (332) ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | relation_rng(v1) = v0)
% 161.80/101.28 | (333) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3))
% 161.80/101.28 | (334) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | ? [v3] : ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0)))
% 161.80/101.28 | (335) ! [v0] : ~ (singleton(v0) = empty_set)
% 161.80/101.28 | (336) ? [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)))))))))
% 161.80/101.28 | (337) ! [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)))
% 161.80/101.28 | (338) ! [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))))))))
% 161.80/101.28 | (339) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (relation_rng(v0) = v2) | ~ (cartesian_product2(v1, v2) = v3) | ~ (relation_dom(v0) = v1) | ~ (subset(v0, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & relation(v0) = v5))
% 161.80/101.28 | (340) ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (relation_rng(v0) = v2 & relation_dom(v0) = v3 & relation(v0) = v1 & ( ~ (v1 = 0) | ( ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (in(v6, v3) = 0) | ~ (in(v4, v2) = v5) | ? [v7] : ( ~ (v7 = v4) & apply(v0, v6) = v7)) & ! [v4] : ( ~ (in(v4, v2) = 0) | ? [v5] : (apply(v0, v5) = v4 & in(v5, v3) = 0)) & ? [v4] : (v4 = v2 | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (in(v5, v4) = v6 & ( ~ (v6 = 0) | ! [v10] : ( ~ (in(v10, v3) = 0) | ? [v11] : ( ~ (v11 = v5) & apply(v0, v10) = v11))) & (v6 = 0 | (v9 = v5 & v8 = 0 & apply(v0, v7) = v5 & in(v7, v3) = 0))))))))
% 161.80/101.28 | (341) ! [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))
% 161.80/101.28 | (342) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (identity_relation(v0) = v1) | ~ (ordered_pair(v2, v3) = v4) | ~ (relation(v1) = 0) | ~ (in(v4, v1) = 0))
% 161.80/101.28 | (343) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (being_limit_ordinal(v2) = v1) | ~ (being_limit_ordinal(v2) = v0))
% 161.80/101.28 | (344) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_difference(v0, empty_set) = v1))
% 161.80/101.28 | (345) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_union2(v3, v2) = v1) | ~ (set_union2(v3, v2) = v0))
% 161.80/101.28 | (346) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0))
% 161.80/101.28 | (347) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v1) = v0) | ~ (subset(v0, v0) = v2))
% 161.80/101.28 | (348) ! [v0] : ! [v1] : ! [v2] : ( ~ (element(v1, v0) = v2) | ? [v3] : ? [v4] : (empty(v1) = v4 & empty(v0) = v3 & ( ~ (v3 = 0) | (( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))))
% 161.80/101.28 | (349) epsilon_connected(all_0_12_12) = 0
% 161.80/101.28 | (350) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v2, v0) = v3) | ~ (set_intersection2(v0, v1) = v2))
% 161.80/101.28 | (351) relation(all_0_17_17) = 0
% 161.80/101.29 | (352) ? [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)))))
% 161.80/101.29 | (353) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2)
% 161.80/101.29 | (354) ! [v0] : ! [v1] : ( ~ (proper_subset(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & proper_subset(v1, v0) = v2))
% 161.80/101.29 | (355) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (disjoint(v3, v2) = v1) | ~ (disjoint(v3, v2) = v0))
% 161.80/101.29 | (356) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v2, v3) = v4))
% 161.80/101.29 | (357) antisymmetric(all_0_17_17) = 0
% 161.80/101.29 | (358) ! [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))))))
% 161.80/101.29 | (359) ? [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)))
% 161.80/101.29 | (360) ! [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))
% 161.80/101.29 | (361) ! [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)))))
% 161.80/101.29 | (362) ! [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))))
% 161.80/101.29 | (363) ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : (relation_inverse(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = v0)))
% 161.80/101.29 | (364) ! [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))))
% 161.80/101.29 | (365) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = empty_set | ~ (subset_difference(v0, v2, v3) = v4) | ~ (meet_of_subsets(v0, v1) = v3) | ~ (cast_to_subset(v0) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (union_of_subsets(v0, v8) = v9 & complements_of_subsets(v0, v1) = v8 & element(v1, v6) = v7 & powerset(v5) = v6 & powerset(v0) = v5 & ( ~ (v7 = 0) | v9 = v4)))
% 161.80/101.29 | (366) ! [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))
% 161.80/101.29 | (367) ! [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)))
% 161.80/101.29 | (368) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_well_founded_in(v3, v2) = v1) | ~ (is_well_founded_in(v3, v2) = v0))
% 161.80/101.29 | (369) ! [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))
% 161.80/101.29 | (370) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 161.80/101.29 | (371) ! [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))
% 161.80/101.29 | (372) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union_of_subsets(v0, v1) = v3) | ~ (element(v3, v2) = v4) | ~ (powerset(v0) = v2) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & element(v1, v5) = v6 & powerset(v2) = v5))
% 161.80/101.29 | (373) ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | relation(v1) = 0)
% 161.80/101.29 | (374) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (fiber(v3, v2) = v1) | ~ (fiber(v3, v2) = v0))
% 161.80/101.29 | (375) ! [v0] : ! [v1] : ( ~ (well_ordering(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (reflexive(v0) = v3 & well_founded_relation(v0) = v7 & transitive(v0) = v4 & connected(v0) = v6 & antisymmetric(v0) = v5 & relation(v0) = v2 & ( ~ (v2 = 0) | (( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v1 = 0) & ( ~ (v1 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0))))))
% 161.80/101.29 | (376) ! [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)))
% 161.80/101.29 | (377) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | ~ (ordered_pair(v2, v3) = v4) | ~ (ordered_pair(v0, v1) = v4))
% 161.80/101.29 | (378) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_restriction(v3, v2) = v1) | ~ (relation_restriction(v3, v2) = v0))
% 161.80/101.29 | (379) ! [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))
% 161.80/101.29 | (380) ? [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)))))
% 161.80/101.29 | (381) ! [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)))))))))
% 161.80/101.29 | (382) ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & element(v3, v2) = 0 & powerset(v0) = v2 & empty(v3) = v4))
% 162.15/101.29 | (383) ! [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))))
% 162.15/101.29 | (384) ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_difference(v0, v1) = v0)
% 162.15/101.29 | (385) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0))
% 162.15/101.29 | (386) ordinal(all_0_5_5) = 0
% 162.15/101.29 | (387) ? [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))))
% 162.15/101.29 | (388) ! [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))
% 162.15/101.29 | (389) ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | set_intersection2(v0, v1) = empty_set)
% 162.15/101.29 | (390) ! [v0] : ( ~ (empty(v0) = 0) | ? [v1] : (relation_dom(v0) = v1 & relation(v1) = 0 & empty(v1) = 0))
% 162.15/101.29 | (391) ! [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))))
% 162.15/101.30 | (392) ! [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))))
% 162.15/101.30 | (393) ! [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)))
% 162.15/101.30 | (394) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (cartesian_product2(v1, v2) = v4) | ~ (cartesian_product2(v0, v2) = v3) | ~ (subset(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (cartesian_product2(v2, v1) = v8 & cartesian_product2(v2, v0) = v7 & subset(v7, v8) = v9 & subset(v0, v1) = v6 & ( ~ (v6 = 0) | (v9 = 0 & v5 = 0))))
% 162.15/101.30 | (395) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_reflexive_in(v3, v2) = v1) | ~ (is_reflexive_in(v3, v2) = v0))
% 162.15/101.30 | (396) ! [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)))
% 162.15/101.30 | (397) ! [v0] : ! [v1] : ( ~ (well_orders(v0, v1) = 0) | ~ (relation(v0) = 0) | (is_well_founded_in(v0, v1) = 0 & is_reflexive_in(v0, v1) = 0 & is_transitive_in(v0, v1) = 0 & is_connected_in(v0, v1) = 0 & is_antisymmetric_in(v0, v1) = 0))
% 162.15/101.30 | (398) ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v1) = v4 & empty(v1) = v3 & empty(v0) = v2 & ( ~ (v2 = 0) | (v4 = 0 & v3 = 0))))
% 162.15/101.30 | (399) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (element(v1, v3) = 0) | ~ (element(v0, v2) = v4) | ~ (powerset(v2) = v3) | ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5))
% 162.15/101.30 | (400) ! [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)))
% 162.15/101.30 | (401) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | v4 = v1 | v4 = v0 | ~ (unordered_triple(v0, v1, v2) = v3) | ~ (in(v4, v3) = 0))
% 162.15/101.30 | (402) ! [v0] : ! [v1] : ( ~ (relation_inverse(v0) = v1) | ? [v2] : ? [v3] : (relation(v1) = v3 & relation(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 162.15/101.30 | (403) ! [v0] : ! [v1] : ( ~ (proper_subset(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & subset(v0, v1) = v2))
% 162.15/101.30 | (404) ! [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)))
% 162.15/101.30 | (405) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (singleton(v0) = v2) | ~ (set_union2(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 162.15/101.30 | (406) function(all_0_5_5) = 0
% 162.15/101.30 | (407) function(all_0_10_10) = 0
% 162.15/101.30 | (408) ! [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))))))
% 162.15/101.30 | (409) ~ (all_0_8_8 = 0)
% 162.15/101.30 | (410) ! [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))))))))
% 162.15/101.30 | (411) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : ? [v4] : (set_intersection2(v0, v1) = v3 & in(v4, v3) = 0))
% 162.15/101.30 | (412) ~ (all_0_6_6 = 0)
% 162.15/101.30 | (413) ! [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))))))
% 162.15/101.30 | (414) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2))
% 162.15/101.30 | (415) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2)
% 162.15/101.30 | (416) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 162.15/101.30 | (417) ! [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))
% 162.15/101.30 | (418) ? [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)))))
% 162.15/101.30 | (419) ! [v0] : ! [v1] : ( ~ (proper_subset(v0, v1) = 0) | subset(v0, v1) = 0)
% 162.15/101.30 | (420) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v2) = v3) | ~ (subset(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & subset(v1, v2) = v4))
% 162.15/101.30 | (421) ! [v0] : ! [v1] : ( ~ (identity_relation(v0) = v1) | function(v1) = 0)
% 162.15/101.30 | (422) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (is_antisymmetric_in(v3, v2) = v1) | ~ (is_antisymmetric_in(v3, v2) = v0))
% 162.15/101.30 | (423) ! [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)))
% 162.15/101.30 | (424) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (unordered_triple(v4, v3, v2) = v1) | ~ (unordered_triple(v4, v3, v2) = v0))
% 162.15/101.30 | (425) ! [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))))
% 162.15/101.30 | (426) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function_inverse(v2) = v1) | ~ (function_inverse(v2) = v0))
% 162.15/101.30 | (427) ! [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)))
% 162.15/101.30 | (428) ! [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))))
% 162.15/101.30 | (429) ! [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))
% 162.15/101.30 | (430) epsilon_transitive(all_0_1_1) = 0
% 162.15/101.30 | (431) singleton(empty_set) = all_0_19_19
% 162.15/101.30 | (432) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v0, v2) = v3) | ~ (set_difference(v0, v1) = v2) | set_intersection2(v0, v1) = v3)
% 162.15/101.30 | (433) empty(all_0_7_7) = all_0_6_6
% 162.15/101.30 | (434) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0))
% 162.15/101.30 | (435) ! [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))))
% 162.15/101.31 | (436) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (singleton(v0) = v2) | ~ (subset(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 162.15/101.31 | (437) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3))
% 162.15/101.31 | (438) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_empty_yielding(v2) = v1) | ~ (relation_empty_yielding(v2) = v0))
% 162.15/101.31 | (439) ! [v0] : ( ~ (epsilon_connected(v0) = 0) | ? [v1] : ? [v2] : (ordinal(v0) = v2 & epsilon_transitive(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 162.15/101.31 | (440) ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_intersection2(v0, empty_set) = v1))
% 162.15/101.31 | (441) ? [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))))
% 162.15/101.31 | (442) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | ? [v3] : ( ~ (v3 = v0) & set_difference(v0, v1) = v3))
% 162.15/101.31 | (443) ! [v0] : ! [v1] : (v1 = 0 | ~ (being_limit_ordinal(v0) = v1) | ? [v2] : ( ~ (v2 = v0) & union(v0) = v2))
% 162.15/101.31 | (444) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (set_meet(v2) = v1) | ~ (set_meet(v2) = v0))
% 162.15/101.31 | (445) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (are_equipotent(v3, v2) = v1) | ~ (are_equipotent(v3, v2) = v0))
% 162.15/101.31 | (446) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ordinal_subset(v0, v0) = v2) | ~ (ordinal(v1) = 0) | ? [v3] : ( ~ (v3 = 0) & ordinal(v0) = v3))
% 162.15/101.31 | (447) ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | disjoint(v1, v0) = 0)
% 162.15/101.31 | (448) ! [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))
% 162.15/101.31 | (449) ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v1) = v2) | ? [v3] : ? [v4] : (in(v3, v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = v1)) & (v4 = 0 | v3 = v1)))
% 162.15/101.31 | (450) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ordinal(v2) = v1) | ~ (ordinal(v2) = v0))
% 162.15/101.31 | (451) ! [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)))))
% 162.15/101.31 | (452) ! [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))
% 162.15/101.31 | (453) ! [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)))
% 162.15/101.31 | (454) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subset_complement(v0, v1) = v3) | ~ (element(v3, v2) = v4) | ~ (powerset(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & element(v1, v2) = v5))
% 162.15/101.31 | (455) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (element(v1, v3) = 0) | ~ (powerset(v2) = v3) | ~ (powerset(v0) = v2) | ? [v4] : (meet_of_subsets(v0, v1) = v4 & set_meet(v1) = v4))
% 162.15/101.31 | (456) ? [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)))))
% 162.15/101.31 | (457) ! [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))
% 162.15/101.31 | (458) ! [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)))))
% 162.15/101.31 | (459) ! [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)))
% 162.15/101.31 | (460) ! [v0] : ! [v1] : ( ~ (relation(v0) = 0) | ~ (in(v1, v0) = 0) | ? [v2] : ? [v3] : ordered_pair(v2, v3) = v1)
% 162.15/101.31 | (461) ! [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))
% 162.15/101.31 | (462) ! [v0] : ( ~ (being_limit_ordinal(v0) = 0) | union(v0) = v0)
% 162.15/101.31 |
% 162.15/101.31 | Instantiating formula (147) with all_0_16_16, all_0_17_17, all_0_18_18 and discharging atoms relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16, yields:
% 162.15/101.31 | (463) ? [v0] : ? [v1] : ? [v2] : (reflexive(all_0_16_16) = v2 & reflexive(all_0_17_17) = v1 & relation(all_0_17_17) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 162.15/101.31 |
% 162.15/101.31 | Instantiating formula (53) with all_0_16_16, all_0_17_17, all_0_18_18 and discharging atoms relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16, yields:
% 162.15/101.31 | (464) ? [v0] : ? [v1] : ? [v2] : (transitive(all_0_16_16) = v2 & transitive(all_0_17_17) = v1 & relation(all_0_17_17) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 162.15/101.31 |
% 162.15/101.31 | Instantiating formula (82) with all_0_16_16, all_0_17_17, all_0_18_18 and discharging atoms relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16, yields:
% 162.15/101.31 | (465) ? [v0] : ? [v1] : ? [v2] : (connected(all_0_16_16) = v2 & connected(all_0_17_17) = v1 & relation(all_0_17_17) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 162.15/101.31 |
% 162.15/101.31 | Instantiating formula (61) with all_0_16_16, all_0_18_18, all_0_17_17 and discharging atoms relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16, yields:
% 162.15/101.31 | (466) ? [v0] : ? [v1] : (relation(all_0_16_16) = v1 & relation(all_0_17_17) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 162.15/101.31 |
% 162.15/101.31 | Instantiating formula (459) with all_0_15_15, all_0_16_16 and discharging atoms antisymmetric(all_0_16_16) = all_0_15_15, yields:
% 162.15/101.31 | (467) all_0_15_15 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v3 = 0 & ~ (v1 = v0) & ordered_pair(v1, v0) = v4 & ordered_pair(v0, v1) = v2 & in(v4, all_0_16_16) = 0 & in(v2, all_0_16_16) = 0) | ( ~ (v0 = 0) & relation(all_0_16_16) = v0))
% 162.15/101.31 |
% 162.15/101.31 | Instantiating (466) with all_146_0_127, all_146_1_128 yields:
% 162.15/101.31 | (468) relation(all_0_16_16) = all_146_0_127 & relation(all_0_17_17) = all_146_1_128 & ( ~ (all_146_1_128 = 0) | all_146_0_127 = 0)
% 162.15/101.31 |
% 162.15/101.31 | Applying alpha-rule on (468) yields:
% 162.15/101.31 | (469) relation(all_0_16_16) = all_146_0_127
% 162.15/101.31 | (470) relation(all_0_17_17) = all_146_1_128
% 162.15/101.31 | (471) ~ (all_146_1_128 = 0) | all_146_0_127 = 0
% 162.15/101.31 |
% 162.15/101.31 | Instantiating (465) with all_148_0_129, all_148_1_130, all_148_2_131 yields:
% 162.15/101.31 | (472) connected(all_0_16_16) = all_148_0_129 & connected(all_0_17_17) = all_148_1_130 & relation(all_0_17_17) = all_148_2_131 & ( ~ (all_148_1_130 = 0) | ~ (all_148_2_131 = 0) | all_148_0_129 = 0)
% 162.15/101.31 |
% 162.15/101.31 | Applying alpha-rule on (472) yields:
% 162.15/101.31 | (473) connected(all_0_16_16) = all_148_0_129
% 162.15/101.31 | (474) connected(all_0_17_17) = all_148_1_130
% 162.15/101.31 | (475) relation(all_0_17_17) = all_148_2_131
% 162.15/101.31 | (476) ~ (all_148_1_130 = 0) | ~ (all_148_2_131 = 0) | all_148_0_129 = 0
% 162.15/101.31 |
% 162.15/101.31 | Instantiating (464) with all_150_0_132, all_150_1_133, all_150_2_134 yields:
% 162.15/101.31 | (477) transitive(all_0_16_16) = all_150_0_132 & transitive(all_0_17_17) = all_150_1_133 & relation(all_0_17_17) = all_150_2_134 & ( ~ (all_150_1_133 = 0) | ~ (all_150_2_134 = 0) | all_150_0_132 = 0)
% 162.15/101.31 |
% 162.15/101.31 | Applying alpha-rule on (477) yields:
% 162.15/101.32 | (478) transitive(all_0_16_16) = all_150_0_132
% 162.15/101.32 | (479) transitive(all_0_17_17) = all_150_1_133
% 162.15/101.32 | (480) relation(all_0_17_17) = all_150_2_134
% 162.15/101.32 | (481) ~ (all_150_1_133 = 0) | ~ (all_150_2_134 = 0) | all_150_0_132 = 0
% 162.15/101.32 |
% 162.15/101.32 | Instantiating (463) with all_152_0_135, all_152_1_136, all_152_2_137 yields:
% 162.15/101.32 | (482) reflexive(all_0_16_16) = all_152_0_135 & reflexive(all_0_17_17) = all_152_1_136 & relation(all_0_17_17) = all_152_2_137 & ( ~ (all_152_1_136 = 0) | ~ (all_152_2_137 = 0) | all_152_0_135 = 0)
% 162.15/101.32 |
% 162.15/101.32 | Applying alpha-rule on (482) yields:
% 162.15/101.32 | (483) reflexive(all_0_16_16) = all_152_0_135
% 162.15/101.32 | (484) reflexive(all_0_17_17) = all_152_1_136
% 162.15/101.32 | (485) relation(all_0_17_17) = all_152_2_137
% 162.15/101.32 | (486) ~ (all_152_1_136 = 0) | ~ (all_152_2_137 = 0) | all_152_0_135 = 0
% 162.15/101.32 |
% 162.15/101.32 +-Applying beta-rule and splitting (467), into two cases.
% 162.15/101.32 |-Branch one:
% 162.15/101.32 | (487) all_0_15_15 = 0
% 162.15/101.32 |
% 162.15/101.32 | Equations (487) can reduce 69 to:
% 162.15/101.32 | (488) $false
% 162.15/101.32 |
% 162.15/101.32 |-The branch is then unsatisfiable
% 162.15/101.32 |-Branch two:
% 162.15/101.32 | (69) ~ (all_0_15_15 = 0)
% 162.15/101.32 | (490) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v3 = 0 & ~ (v1 = v0) & ordered_pair(v1, v0) = v4 & ordered_pair(v0, v1) = v2 & in(v4, all_0_16_16) = 0 & in(v2, all_0_16_16) = 0) | ( ~ (v0 = 0) & relation(all_0_16_16) = v0))
% 162.15/101.32 |
% 162.15/101.32 | Instantiating (490) with all_164_0_142, all_164_1_143, all_164_2_144, all_164_3_145, all_164_4_146, all_164_5_147 yields:
% 162.15/101.32 | (491) (all_164_0_142 = 0 & all_164_2_144 = 0 & ~ (all_164_4_146 = all_164_5_147) & ordered_pair(all_164_4_146, all_164_5_147) = all_164_1_143 & ordered_pair(all_164_5_147, all_164_4_146) = all_164_3_145 & in(all_164_1_143, all_0_16_16) = 0 & in(all_164_3_145, all_0_16_16) = 0) | ( ~ (all_164_5_147 = 0) & relation(all_0_16_16) = all_164_5_147)
% 162.15/101.32 |
% 162.15/101.32 | Instantiating formula (18) with all_0_17_17, all_150_2_134, 0 and discharging atoms relation(all_0_17_17) = all_150_2_134, relation(all_0_17_17) = 0, yields:
% 162.15/101.32 | (492) all_150_2_134 = 0
% 162.15/101.32 |
% 162.15/101.32 | Instantiating formula (18) with all_0_17_17, all_150_2_134, all_152_2_137 and discharging atoms relation(all_0_17_17) = all_152_2_137, relation(all_0_17_17) = all_150_2_134, yields:
% 162.15/101.32 | (493) all_152_2_137 = all_150_2_134
% 162.15/101.32 |
% 162.15/101.32 | Instantiating formula (18) with all_0_17_17, all_148_2_131, all_152_2_137 and discharging atoms relation(all_0_17_17) = all_152_2_137, relation(all_0_17_17) = all_148_2_131, yields:
% 162.15/101.32 | (494) all_152_2_137 = all_148_2_131
% 162.15/101.32 |
% 162.15/101.32 | Instantiating formula (18) with all_0_17_17, all_146_1_128, all_152_2_137 and discharging atoms relation(all_0_17_17) = all_152_2_137, relation(all_0_17_17) = all_146_1_128, yields:
% 162.15/101.32 | (495) all_152_2_137 = all_146_1_128
% 162.15/101.32 |
% 162.15/101.32 | Combining equations (493,494) yields a new equation:
% 162.15/101.32 | (496) all_150_2_134 = all_148_2_131
% 162.15/101.32 |
% 162.15/101.32 | Simplifying 496 yields:
% 162.15/101.32 | (497) all_150_2_134 = all_148_2_131
% 162.15/101.32 |
% 162.15/101.32 | Combining equations (495,494) yields a new equation:
% 162.15/101.32 | (498) all_148_2_131 = all_146_1_128
% 162.15/101.32 |
% 162.15/101.32 | Combining equations (497,492) yields a new equation:
% 162.15/101.32 | (499) all_148_2_131 = 0
% 162.15/101.32 |
% 162.15/101.32 | Simplifying 499 yields:
% 162.15/101.32 | (500) all_148_2_131 = 0
% 162.15/101.32 |
% 162.15/101.32 | Combining equations (500,498) yields a new equation:
% 162.15/101.32 | (501) all_146_1_128 = 0
% 162.15/101.32 |
% 162.15/101.32 | From (501) and (470) follows:
% 162.15/101.32 | (351) relation(all_0_17_17) = 0
% 162.15/101.32 |
% 162.15/101.32 +-Applying beta-rule and splitting (471), into two cases.
% 162.15/101.32 |-Branch one:
% 162.15/101.32 | (503) ~ (all_146_1_128 = 0)
% 162.15/101.32 |
% 162.15/101.32 | Equations (501) can reduce 503 to:
% 162.15/101.32 | (488) $false
% 162.15/101.32 |
% 162.15/101.32 |-The branch is then unsatisfiable
% 162.15/101.32 |-Branch two:
% 162.15/101.32 | (501) all_146_1_128 = 0
% 162.15/101.32 | (506) all_146_0_127 = 0
% 162.15/101.32 |
% 162.15/101.32 | From (506) and (469) follows:
% 162.15/101.32 | (507) relation(all_0_16_16) = 0
% 162.15/101.32 |
% 162.15/101.32 +-Applying beta-rule and splitting (491), into two cases.
% 162.15/101.32 |-Branch one:
% 162.15/101.32 | (508) all_164_0_142 = 0 & all_164_2_144 = 0 & ~ (all_164_4_146 = all_164_5_147) & ordered_pair(all_164_4_146, all_164_5_147) = all_164_1_143 & ordered_pair(all_164_5_147, all_164_4_146) = all_164_3_145 & in(all_164_1_143, all_0_16_16) = 0 & in(all_164_3_145, all_0_16_16) = 0
% 162.15/101.32 |
% 162.15/101.32 | Applying alpha-rule on (508) yields:
% 162.15/101.32 | (509) in(all_164_1_143, all_0_16_16) = 0
% 162.15/101.32 | (510) all_164_0_142 = 0
% 162.15/101.32 | (511) in(all_164_3_145, all_0_16_16) = 0
% 162.15/101.32 | (512) ordered_pair(all_164_4_146, all_164_5_147) = all_164_1_143
% 162.15/101.32 | (513) ~ (all_164_4_146 = all_164_5_147)
% 162.15/101.32 | (514) ordered_pair(all_164_5_147, all_164_4_146) = all_164_3_145
% 162.15/101.32 | (515) all_164_2_144 = 0
% 162.15/101.32 |
% 162.15/101.32 | Instantiating formula (141) with all_152_1_136, all_0_17_17 and discharging atoms reflexive(all_0_17_17) = all_152_1_136, yields:
% 162.15/101.32 | (516) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (relation_field(all_0_17_17) = v1 & relation(all_0_17_17) = v0 & ( ~ (v0 = 0) | (( ~ (all_152_1_136 = 0) | ! [v6] : ( ~ (in(v6, v1) = 0) | ? [v7] : (ordered_pair(v6, v6) = v7 & in(v7, all_0_17_17) = 0))) & (all_152_1_136 = 0 | (v3 = 0 & ~ (v5 = 0) & ordered_pair(v2, v2) = v4 & in(v4, all_0_17_17) = v5 & in(v2, v1) = 0)))))
% 162.15/101.32 |
% 162.15/101.32 | Instantiating formula (285) with all_148_1_130, all_0_17_17 and discharging atoms connected(all_0_17_17) = all_148_1_130, yields:
% 162.15/101.32 | (517) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (relation_field(all_0_17_17) = v1 & relation(all_0_17_17) = v0 & ( ~ (v0 = 0) | (( ~ (all_148_1_130 = 0) | ! [v10] : ! [v11] : (v11 = v10 | ~ (in(v11, v1) = 0) | ~ (in(v10, v1) = 0) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (ordered_pair(v11, v10) = v14 & ordered_pair(v10, v11) = v12 & in(v14, all_0_17_17) = v15 & in(v12, all_0_17_17) = v13 & (v15 = 0 | v13 = 0)))) & (all_148_1_130 = 0 | (v5 = 0 & v4 = 0 & ~ (v9 = 0) & ~ (v7 = 0) & ~ (v3 = v2) & ordered_pair(v3, v2) = v8 & ordered_pair(v2, v3) = v6 & in(v8, all_0_17_17) = v9 & in(v6, all_0_17_17) = v7 & in(v3, v1) = 0 & in(v2, v1) = 0)))))
% 162.15/101.32 |
% 162.15/101.32 | Instantiating formula (358) with 0, all_0_16_16, all_0_17_17, all_0_18_18, all_164_1_143 and discharging atoms relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16, in(all_164_1_143, all_0_16_16) = 0, yields:
% 162.15/101.32 | (518) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (cartesian_product2(all_0_18_18, all_0_18_18) = v2 & relation(all_0_17_17) = v0 & in(all_164_1_143, v2) = v3 & in(all_164_1_143, all_0_17_17) = v1 & ( ~ (v0 = 0) | (v3 = 0 & v1 = 0)))
% 162.15/101.32 |
% 162.15/101.32 | Instantiating formula (246) with all_164_1_143, all_164_5_147, all_164_4_146, all_0_17_17 and discharging atoms antisymmetric(all_0_17_17) = 0, ordered_pair(all_164_4_146, all_164_5_147) = all_164_1_143, yields:
% 162.15/101.32 | (519) all_164_4_146 = all_164_5_147 | ~ (in(all_164_1_143, all_0_17_17) = 0) | ? [v0] : ? [v1] : (( ~ (v1 = 0) & ordered_pair(all_164_5_147, all_164_4_146) = v0 & in(v0, all_0_17_17) = v1) | ( ~ (v0 = 0) & relation(all_0_17_17) = v0))
% 162.15/101.32 |
% 162.15/101.32 | Instantiating formula (460) with all_164_1_143, all_0_16_16 and discharging atoms relation(all_0_16_16) = 0, in(all_164_1_143, all_0_16_16) = 0, yields:
% 162.15/101.32 | (520) ? [v0] : ? [v1] : ordered_pair(v0, v1) = all_164_1_143
% 162.15/101.32 |
% 162.15/101.32 | Instantiating formula (460) with all_164_1_143, all_0_17_17 and discharging atoms relation(all_0_17_17) = 0, yields:
% 162.15/101.32 | (521) ~ (in(all_164_1_143, all_0_17_17) = 0) | ? [v0] : ? [v1] : ordered_pair(v0, v1) = all_164_1_143
% 162.15/101.32 |
% 162.15/101.32 | Instantiating formula (358) with 0, all_0_16_16, all_0_17_17, all_0_18_18, all_164_3_145 and discharging atoms relation_restriction(all_0_17_17, all_0_18_18) = all_0_16_16, in(all_164_3_145, all_0_16_16) = 0, yields:
% 162.15/101.32 | (522) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (cartesian_product2(all_0_18_18, all_0_18_18) = v2 & relation(all_0_17_17) = v0 & in(all_164_3_145, v2) = v3 & in(all_164_3_145, all_0_17_17) = v1 & ( ~ (v0 = 0) | (v3 = 0 & v1 = 0)))
% 162.15/101.32 |
% 162.15/101.32 | Instantiating formula (246) with all_164_3_145, all_164_4_146, all_164_5_147, all_0_17_17 and discharging atoms antisymmetric(all_0_17_17) = 0, ordered_pair(all_164_5_147, all_164_4_146) = all_164_3_145, yields:
% 162.15/101.33 | (523) all_164_4_146 = all_164_5_147 | ~ (in(all_164_3_145, all_0_17_17) = 0) | ? [v0] : ? [v1] : (( ~ (v1 = 0) & ordered_pair(all_164_4_146, all_164_5_147) = v0 & in(v0, all_0_17_17) = v1) | ( ~ (v0 = 0) & relation(all_0_17_17) = v0))
% 162.15/101.33 |
% 162.15/101.33 | Instantiating (517) with all_383_0_199, all_383_1_200, all_383_2_201, all_383_3_202, all_383_4_203, all_383_5_204, all_383_6_205, all_383_7_206, all_383_8_207, all_383_9_208 yields:
% 162.15/101.33 | (524) relation_field(all_0_17_17) = all_383_8_207 & relation(all_0_17_17) = all_383_9_208 & ( ~ (all_383_9_208 = 0) | (( ~ (all_148_1_130 = 0) | ! [v0] : ! [v1] : (v1 = v0 | ~ (in(v1, all_383_8_207) = 0) | ~ (in(v0, all_383_8_207) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (ordered_pair(v1, v0) = v4 & ordered_pair(v0, v1) = v2 & in(v4, all_0_17_17) = v5 & in(v2, all_0_17_17) = v3 & (v5 = 0 | v3 = 0)))) & (all_148_1_130 = 0 | (all_383_4_203 = 0 & all_383_5_204 = 0 & ~ (all_383_0_199 = 0) & ~ (all_383_2_201 = 0) & ~ (all_383_6_205 = all_383_7_206) & ordered_pair(all_383_6_205, all_383_7_206) = all_383_1_200 & ordered_pair(all_383_7_206, all_383_6_205) = all_383_3_202 & in(all_383_1_200, all_0_17_17) = all_383_0_199 & in(all_383_3_202, all_0_17_17) = all_383_2_201 & in(all_383_6_205, all_383_8_207) = 0 & in(all_383_7_206, all_383_8_207) = 0))))
% 162.15/101.33 |
% 162.15/101.33 | Applying alpha-rule on (524) yields:
% 162.15/101.33 | (525) relation_field(all_0_17_17) = all_383_8_207
% 162.15/101.33 | (526) relation(all_0_17_17) = all_383_9_208
% 162.15/101.33 | (527) ~ (all_383_9_208 = 0) | (( ~ (all_148_1_130 = 0) | ! [v0] : ! [v1] : (v1 = v0 | ~ (in(v1, all_383_8_207) = 0) | ~ (in(v0, all_383_8_207) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (ordered_pair(v1, v0) = v4 & ordered_pair(v0, v1) = v2 & in(v4, all_0_17_17) = v5 & in(v2, all_0_17_17) = v3 & (v5 = 0 | v3 = 0)))) & (all_148_1_130 = 0 | (all_383_4_203 = 0 & all_383_5_204 = 0 & ~ (all_383_0_199 = 0) & ~ (all_383_2_201 = 0) & ~ (all_383_6_205 = all_383_7_206) & ordered_pair(all_383_6_205, all_383_7_206) = all_383_1_200 & ordered_pair(all_383_7_206, all_383_6_205) = all_383_3_202 & in(all_383_1_200, all_0_17_17) = all_383_0_199 & in(all_383_3_202, all_0_17_17) = all_383_2_201 & in(all_383_6_205, all_383_8_207) = 0 & in(all_383_7_206, all_383_8_207) = 0)))
% 162.15/101.33 |
% 162.15/101.33 | Instantiating (520) with all_418_0_240, all_418_1_241 yields:
% 162.15/101.33 | (528) ordered_pair(all_418_1_241, all_418_0_240) = all_164_1_143
% 162.15/101.33 |
% 162.15/101.33 | Instantiating (516) with all_426_0_250, all_426_1_251, all_426_2_252, all_426_3_253, all_426_4_254, all_426_5_255 yields:
% 162.15/101.33 | (529) relation_field(all_0_17_17) = all_426_4_254 & relation(all_0_17_17) = all_426_5_255 & ( ~ (all_426_5_255 = 0) | (( ~ (all_152_1_136 = 0) | ! [v0] : ( ~ (in(v0, all_426_4_254) = 0) | ? [v1] : (ordered_pair(v0, v0) = v1 & in(v1, all_0_17_17) = 0))) & (all_152_1_136 = 0 | (all_426_2_252 = 0 & ~ (all_426_0_250 = 0) & ordered_pair(all_426_3_253, all_426_3_253) = all_426_1_251 & in(all_426_1_251, all_0_17_17) = all_426_0_250 & in(all_426_3_253, all_426_4_254) = 0))))
% 162.15/101.33 |
% 162.15/101.33 | Applying alpha-rule on (529) yields:
% 162.15/101.33 | (530) relation_field(all_0_17_17) = all_426_4_254
% 162.15/101.33 | (531) relation(all_0_17_17) = all_426_5_255
% 162.15/101.33 | (532) ~ (all_426_5_255 = 0) | (( ~ (all_152_1_136 = 0) | ! [v0] : ( ~ (in(v0, all_426_4_254) = 0) | ? [v1] : (ordered_pair(v0, v0) = v1 & in(v1, all_0_17_17) = 0))) & (all_152_1_136 = 0 | (all_426_2_252 = 0 & ~ (all_426_0_250 = 0) & ordered_pair(all_426_3_253, all_426_3_253) = all_426_1_251 & in(all_426_1_251, all_0_17_17) = all_426_0_250 & in(all_426_3_253, all_426_4_254) = 0)))
% 162.15/101.33 |
% 162.15/101.33 | Instantiating (518) with all_445_0_268, all_445_1_269, all_445_2_270, all_445_3_271 yields:
% 162.15/101.33 | (533) cartesian_product2(all_0_18_18, all_0_18_18) = all_445_1_269 & relation(all_0_17_17) = all_445_3_271 & in(all_164_1_143, all_445_1_269) = all_445_0_268 & in(all_164_1_143, all_0_17_17) = all_445_2_270 & ( ~ (all_445_3_271 = 0) | (all_445_0_268 = 0 & all_445_2_270 = 0))
% 162.15/101.33 |
% 162.15/101.33 | Applying alpha-rule on (533) yields:
% 162.15/101.33 | (534) in(all_164_1_143, all_0_17_17) = all_445_2_270
% 162.15/101.33 | (535) in(all_164_1_143, all_445_1_269) = all_445_0_268
% 162.15/101.33 | (536) ~ (all_445_3_271 = 0) | (all_445_0_268 = 0 & all_445_2_270 = 0)
% 162.15/101.33 | (537) cartesian_product2(all_0_18_18, all_0_18_18) = all_445_1_269
% 162.15/101.33 | (538) relation(all_0_17_17) = all_445_3_271
% 162.15/101.33 |
% 162.15/101.33 | Instantiating (522) with all_449_0_277, all_449_1_278, all_449_2_279, all_449_3_280 yields:
% 162.15/101.33 | (539) cartesian_product2(all_0_18_18, all_0_18_18) = all_449_1_278 & relation(all_0_17_17) = all_449_3_280 & in(all_164_3_145, all_449_1_278) = all_449_0_277 & in(all_164_3_145, all_0_17_17) = all_449_2_279 & ( ~ (all_449_3_280 = 0) | (all_449_0_277 = 0 & all_449_2_279 = 0))
% 162.15/101.33 |
% 162.15/101.33 | Applying alpha-rule on (539) yields:
% 162.15/101.33 | (540) ~ (all_449_3_280 = 0) | (all_449_0_277 = 0 & all_449_2_279 = 0)
% 162.15/101.33 | (541) in(all_164_3_145, all_0_17_17) = all_449_2_279
% 162.15/101.33 | (542) in(all_164_3_145, all_449_1_278) = all_449_0_277
% 162.15/101.33 | (543) relation(all_0_17_17) = all_449_3_280
% 162.15/101.33 | (544) cartesian_product2(all_0_18_18, all_0_18_18) = all_449_1_278
% 162.15/101.33 |
% 162.15/101.33 | Instantiating formula (377) with all_164_1_143, all_418_0_240, all_418_1_241, all_164_5_147, all_164_4_146 and discharging atoms ordered_pair(all_418_1_241, all_418_0_240) = all_164_1_143, ordered_pair(all_164_4_146, all_164_5_147) = all_164_1_143, yields:
% 162.15/101.33 | (545) all_418_0_240 = all_164_5_147
% 162.15/101.33 |
% 162.15/101.33 | Instantiating formula (60) with all_164_1_143, all_418_0_240, all_418_1_241, all_164_5_147, all_164_4_146 and discharging atoms ordered_pair(all_418_1_241, all_418_0_240) = all_164_1_143, ordered_pair(all_164_4_146, all_164_5_147) = all_164_1_143, yields:
% 162.15/101.33 | (546) all_418_1_241 = all_164_4_146
% 162.15/101.33 |
% 162.15/101.33 | Instantiating formula (18) with all_0_17_17, all_445_3_271, all_449_3_280 and discharging atoms relation(all_0_17_17) = all_449_3_280, relation(all_0_17_17) = all_445_3_271, yields:
% 162.15/101.33 | (547) all_449_3_280 = all_445_3_271
% 162.15/101.33 |
% 162.15/101.33 | Instantiating formula (18) with all_0_17_17, all_426_5_255, 0 and discharging atoms relation(all_0_17_17) = all_426_5_255, relation(all_0_17_17) = 0, yields:
% 162.15/101.33 | (548) all_426_5_255 = 0
% 162.15/101.33 |
% 162.15/101.33 | Instantiating formula (18) with all_0_17_17, all_426_5_255, all_449_3_280 and discharging atoms relation(all_0_17_17) = all_449_3_280, relation(all_0_17_17) = all_426_5_255, yields:
% 162.15/101.33 | (549) all_449_3_280 = all_426_5_255
% 162.15/101.33 |
% 162.15/101.33 | Instantiating formula (18) with all_0_17_17, all_383_9_208, all_449_3_280 and discharging atoms relation(all_0_17_17) = all_449_3_280, relation(all_0_17_17) = all_383_9_208, yields:
% 162.15/101.33 | (550) all_449_3_280 = all_383_9_208
% 162.15/101.33 |
% 162.15/101.33 | Combining equations (550,547) yields a new equation:
% 162.15/101.33 | (551) all_445_3_271 = all_383_9_208
% 162.15/101.33 |
% 162.15/101.33 | Combining equations (549,547) yields a new equation:
% 162.15/101.33 | (552) all_445_3_271 = all_426_5_255
% 162.15/101.33 |
% 162.15/101.33 | Combining equations (552,551) yields a new equation:
% 162.15/101.33 | (553) all_426_5_255 = all_383_9_208
% 162.15/101.33 |
% 162.15/101.33 | Simplifying 553 yields:
% 162.15/101.33 | (554) all_426_5_255 = all_383_9_208
% 162.15/101.33 |
% 162.15/101.33 | Combining equations (548,554) yields a new equation:
% 162.15/101.33 | (555) all_383_9_208 = 0
% 162.15/101.33 |
% 162.15/101.33 | Combining equations (555,551) yields a new equation:
% 162.15/101.33 | (556) all_445_3_271 = 0
% 162.15/101.33 |
% 162.15/101.33 | Combining equations (556,547) yields a new equation:
% 162.15/101.33 | (557) all_449_3_280 = 0
% 162.15/101.33 |
% 162.15/101.33 | From (546)(545) and (528) follows:
% 162.15/101.33 | (512) ordered_pair(all_164_4_146, all_164_5_147) = all_164_1_143
% 162.15/101.33 |
% 162.15/101.33 | From (555) and (526) follows:
% 162.15/101.33 | (351) relation(all_0_17_17) = 0
% 162.15/101.33 |
% 162.15/101.33 +-Applying beta-rule and splitting (536), into two cases.
% 162.15/101.33 |-Branch one:
% 162.15/101.33 | (560) ~ (all_445_3_271 = 0)
% 162.15/101.33 |
% 162.15/101.33 | Equations (556) can reduce 560 to:
% 162.15/101.33 | (488) $false
% 162.15/101.33 |
% 162.15/101.33 |-The branch is then unsatisfiable
% 162.15/101.33 |-Branch two:
% 162.15/101.33 | (556) all_445_3_271 = 0
% 162.15/101.33 | (563) all_445_0_268 = 0 & all_445_2_270 = 0
% 162.15/101.33 |
% 162.15/101.33 | Applying alpha-rule on (563) yields:
% 162.15/101.33 | (564) all_445_0_268 = 0
% 162.15/101.33 | (565) all_445_2_270 = 0
% 162.15/101.33 |
% 162.15/101.33 | From (565) and (534) follows:
% 162.15/101.33 | (566) in(all_164_1_143, all_0_17_17) = 0
% 162.15/101.33 |
% 162.15/101.33 +-Applying beta-rule and splitting (523), into two cases.
% 162.15/101.33 |-Branch one:
% 162.15/101.33 | (567) ~ (in(all_164_3_145, all_0_17_17) = 0)
% 162.15/101.33 |
% 162.15/101.33 +-Applying beta-rule and splitting (540), into two cases.
% 162.15/101.33 |-Branch one:
% 162.15/101.33 | (568) ~ (all_449_3_280 = 0)
% 162.15/101.33 |
% 162.15/101.33 | Equations (557) can reduce 568 to:
% 162.15/101.33 | (488) $false
% 162.15/101.33 |
% 162.15/101.33 |-The branch is then unsatisfiable
% 162.15/101.33 |-Branch two:
% 162.15/101.33 | (557) all_449_3_280 = 0
% 162.15/101.33 | (571) all_449_0_277 = 0 & all_449_2_279 = 0
% 162.15/101.33 |
% 162.15/101.33 | Applying alpha-rule on (571) yields:
% 162.15/101.33 | (572) all_449_0_277 = 0
% 162.15/101.33 | (573) all_449_2_279 = 0
% 162.15/101.33 |
% 162.15/101.33 | From (573) and (541) follows:
% 162.15/101.33 | (574) in(all_164_3_145, all_0_17_17) = 0
% 162.15/101.33 |
% 162.15/101.33 | Using (574) and (567) yields:
% 162.15/101.33 | (575) $false
% 162.15/101.33 |
% 162.15/101.33 |-The branch is then unsatisfiable
% 162.15/101.33 |-Branch two:
% 162.15/101.33 | (574) in(all_164_3_145, all_0_17_17) = 0
% 162.15/101.33 | (577) all_164_4_146 = all_164_5_147 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & ordered_pair(all_164_4_146, all_164_5_147) = v0 & in(v0, all_0_17_17) = v1) | ( ~ (v0 = 0) & relation(all_0_17_17) = v0))
% 162.15/101.33 |
% 162.15/101.33 +-Applying beta-rule and splitting (577), into two cases.
% 162.15/101.33 |-Branch one:
% 162.15/101.33 | (578) all_164_4_146 = all_164_5_147
% 162.15/101.34 |
% 162.15/101.34 | Equations (578) can reduce 513 to:
% 162.15/101.34 | (488) $false
% 162.15/101.34 |
% 162.15/101.34 |-The branch is then unsatisfiable
% 162.15/101.34 |-Branch two:
% 162.15/101.34 | (513) ~ (all_164_4_146 = all_164_5_147)
% 162.15/101.34 | (581) ? [v0] : ? [v1] : (( ~ (v1 = 0) & ordered_pair(all_164_4_146, all_164_5_147) = v0 & in(v0, all_0_17_17) = v1) | ( ~ (v0 = 0) & relation(all_0_17_17) = v0))
% 162.15/101.34 |
% 162.15/101.34 | Instantiating (581) with all_652_0_415, all_652_1_416 yields:
% 162.15/101.34 | (582) ( ~ (all_652_0_415 = 0) & ordered_pair(all_164_4_146, all_164_5_147) = all_652_1_416 & in(all_652_1_416, all_0_17_17) = all_652_0_415) | ( ~ (all_652_1_416 = 0) & relation(all_0_17_17) = all_652_1_416)
% 162.15/101.34 |
% 162.15/101.34 +-Applying beta-rule and splitting (582), into two cases.
% 162.15/101.34 |-Branch one:
% 162.15/101.34 | (583) ~ (all_652_0_415 = 0) & ordered_pair(all_164_4_146, all_164_5_147) = all_652_1_416 & in(all_652_1_416, all_0_17_17) = all_652_0_415
% 162.15/101.34 |
% 162.15/101.34 | Applying alpha-rule on (583) yields:
% 162.15/101.34 | (584) ~ (all_652_0_415 = 0)
% 162.15/101.34 | (585) ordered_pair(all_164_4_146, all_164_5_147) = all_652_1_416
% 162.15/101.34 | (586) in(all_652_1_416, all_0_17_17) = all_652_0_415
% 162.15/101.34 |
% 162.15/101.34 +-Applying beta-rule and splitting (519), into two cases.
% 162.15/101.34 |-Branch one:
% 162.15/101.34 | (587) ~ (in(all_164_1_143, all_0_17_17) = 0)
% 162.15/101.34 |
% 162.15/101.34 | Using (566) and (587) yields:
% 162.15/101.34 | (575) $false
% 162.15/101.34 |
% 162.15/101.34 |-The branch is then unsatisfiable
% 162.15/101.34 |-Branch two:
% 162.15/101.34 | (566) in(all_164_1_143, all_0_17_17) = 0
% 162.15/101.34 | (590) all_164_4_146 = all_164_5_147 | ? [v0] : ? [v1] : (( ~ (v1 = 0) & ordered_pair(all_164_5_147, all_164_4_146) = v0 & in(v0, all_0_17_17) = v1) | ( ~ (v0 = 0) & relation(all_0_17_17) = v0))
% 162.15/101.34 |
% 162.15/101.34 +-Applying beta-rule and splitting (521), into two cases.
% 162.15/101.34 |-Branch one:
% 162.15/101.34 | (587) ~ (in(all_164_1_143, all_0_17_17) = 0)
% 162.15/101.34 |
% 162.15/101.34 | Using (566) and (587) yields:
% 162.15/101.34 | (575) $false
% 162.15/101.34 |
% 162.15/101.34 |-The branch is then unsatisfiable
% 162.15/101.34 |-Branch two:
% 162.15/101.34 | (566) in(all_164_1_143, all_0_17_17) = 0
% 162.15/101.34 | (520) ? [v0] : ? [v1] : ordered_pair(v0, v1) = all_164_1_143
% 162.15/101.34 |
% 162.15/101.34 | Instantiating formula (385) with all_164_4_146, all_164_5_147, all_652_1_416, all_164_1_143 and discharging atoms ordered_pair(all_164_4_146, all_164_5_147) = all_652_1_416, ordered_pair(all_164_4_146, all_164_5_147) = all_164_1_143, yields:
% 162.15/101.34 | (595) all_652_1_416 = all_164_1_143
% 162.15/101.34 |
% 162.15/101.34 | Instantiating formula (312) with all_164_1_143, all_0_17_17, 0, all_652_0_415 and discharging atoms in(all_164_1_143, all_0_17_17) = 0, yields:
% 162.15/101.34 | (596) all_652_0_415 = 0 | ~ (in(all_164_1_143, all_0_17_17) = all_652_0_415)
% 162.15/101.34 |
% 162.15/101.34 | From (595) and (586) follows:
% 162.15/101.34 | (597) in(all_164_1_143, all_0_17_17) = all_652_0_415
% 162.15/101.34 |
% 162.15/101.34 +-Applying beta-rule and splitting (596), into two cases.
% 162.15/101.34 |-Branch one:
% 162.15/101.34 | (598) ~ (in(all_164_1_143, all_0_17_17) = all_652_0_415)
% 162.15/101.34 |
% 162.15/101.34 | Using (597) and (598) yields:
% 162.15/101.34 | (575) $false
% 162.15/101.34 |
% 162.15/101.34 |-The branch is then unsatisfiable
% 162.15/101.34 |-Branch two:
% 162.15/101.34 | (597) in(all_164_1_143, all_0_17_17) = all_652_0_415
% 162.15/101.34 | (601) all_652_0_415 = 0
% 162.15/101.34 |
% 162.15/101.34 | Equations (601) can reduce 584 to:
% 162.15/101.34 | (488) $false
% 162.15/101.34 |
% 162.15/101.34 |-The branch is then unsatisfiable
% 162.15/101.34 |-Branch two:
% 162.15/101.34 | (603) ~ (all_652_1_416 = 0) & relation(all_0_17_17) = all_652_1_416
% 162.15/101.34 |
% 162.15/101.34 | Applying alpha-rule on (603) yields:
% 162.15/101.34 | (604) ~ (all_652_1_416 = 0)
% 162.15/101.34 | (605) relation(all_0_17_17) = all_652_1_416
% 162.15/101.34 |
% 162.15/101.34 | Instantiating formula (18) with all_0_17_17, all_652_1_416, 0 and discharging atoms relation(all_0_17_17) = all_652_1_416, relation(all_0_17_17) = 0, yields:
% 162.15/101.34 | (606) all_652_1_416 = 0
% 162.15/101.34 |
% 162.15/101.34 | Equations (606) can reduce 604 to:
% 162.15/101.34 | (488) $false
% 162.15/101.34 |
% 162.15/101.34 |-The branch is then unsatisfiable
% 162.15/101.34 |-Branch two:
% 162.15/101.34 | (608) ~ (all_164_5_147 = 0) & relation(all_0_16_16) = all_164_5_147
% 162.15/101.34 |
% 162.15/101.34 | Applying alpha-rule on (608) yields:
% 162.15/101.34 | (609) ~ (all_164_5_147 = 0)
% 162.15/101.34 | (610) relation(all_0_16_16) = all_164_5_147
% 162.15/101.34 |
% 162.15/101.34 | Instantiating formula (18) with all_0_16_16, all_164_5_147, 0 and discharging atoms relation(all_0_16_16) = all_164_5_147, relation(all_0_16_16) = 0, yields:
% 162.15/101.34 | (611) all_164_5_147 = 0
% 162.15/101.34 |
% 162.15/101.34 | Equations (611) can reduce 609 to:
% 162.15/101.34 | (488) $false
% 162.15/101.34 |
% 162.15/101.34 |-The branch is then unsatisfiable
% 162.15/101.34 % SZS output end Proof for theBenchmark
% 162.15/101.34
% 162.15/101.34 100756ms
%------------------------------------------------------------------------------