TSTP Solution File: SEU359+2 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU359+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n008.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 09:26:10 EDT 2022
% Result : Theorem 45.16s 6.93s
% Output : CNFRefutation 45.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU359+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n008.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 08:30:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.12/1.36 # No SInE strategy applied
% 1.12/1.36 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S2g
% 1.12/1.36 # and selection function SelectCQArNpEqFirst.
% 1.12/1.36 #
% 1.12/1.36 # Presaturation interreduction done
% 1.12/1.36 # Number of axioms: 2844 Number of unprocessed: 2646
% 1.12/1.36 # Tableaux proof search.
% 1.12/1.36 # APR header successfully linked.
% 1.12/1.36 # Hello from C++
% 1.12/1.37 # The folding up rule is enabled...
% 1.12/1.37 # Local unification is enabled...
% 1.12/1.37 # Any saturation attempts will use folding labels...
% 1.12/1.37 # 2646 beginning clauses after preprocessing and clausification
% 1.12/1.37 # Creating start rules for all 13 conjectures.
% 1.12/1.37 # There are 13 start rule candidates:
% 1.12/1.37 # Found 221 unit axioms.
% 1.12/1.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 1.12/1.37 # 13 start rule tableaux created.
% 1.12/1.37 # 2425 extension rule candidate clauses
% 1.12/1.37 # 221 unit axiom clauses
% 1.12/1.37
% 1.12/1.37 # Requested 8, 32 cores available to the main process.
% 45.16/6.93 # There were 3 total branch saturation attempts.
% 45.16/6.93 # There were 0 of these attempts blocked.
% 45.16/6.93 # There were 0 deferred branch saturation attempts.
% 45.16/6.93 # There were 0 free duplicated saturations.
% 45.16/6.93 # There were 3 total successful branch saturations.
% 45.16/6.93 # There were 0 successful branch saturations in interreduction.
% 45.16/6.93 # There were 0 successful branch saturations on the branch.
% 45.16/6.93 # There were 3 successful branch saturations after the branch.
% 45.16/6.93 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.16/6.93 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.16/6.93 # Begin clausification derivation
% 45.16/6.93
% 45.16/6.93 # End clausification derivation
% 45.16/6.93 # Begin listing active clauses obtained from FOF to CNF conversion
% 45.16/6.93 cnf(i_0_2631, negated_conjecture, (rel_str(esk436_0))).
% 45.16/6.93 cnf(i_0_2632, negated_conjecture, (antisymmetric_relstr(esk436_0))).
% 45.16/6.93 cnf(i_0_2630, negated_conjecture, (element(esk437_0,the_carrier(esk436_0)))).
% 45.16/6.93 cnf(i_0_2771, lemma, (relation_dom(empty_set)=empty_set)).
% 45.16/6.93 cnf(i_0_694, plain, (rel_str(esk126_0))).
% 45.16/6.93 cnf(i_0_989, plain, (rel_str(esk154_0))).
% 45.16/6.93 cnf(i_0_1033, plain, (rel_str(esk165_0))).
% 45.16/6.93 cnf(i_0_2770, lemma, (relation_rng(empty_set)=empty_set)).
% 45.16/6.93 cnf(i_0_1028, plain, (antisymmetric_relstr(esk165_0))).
% 45.16/6.93 cnf(i_0_988, plain, (strict_rel_str(esk154_0))).
% 45.16/6.93 cnf(i_0_1031, plain, (strict_rel_str(esk165_0))).
% 45.16/6.93 cnf(i_0_698, plain, (latt_str(esk130_0))).
% 45.16/6.93 cnf(i_0_1061, plain, (latt_str(esk175_0))).
% 45.16/6.93 cnf(i_0_1087, plain, (latt_str(esk183_0))).
% 45.16/6.93 cnf(i_0_1102, plain, (latt_str(esk186_0))).
% 45.16/6.93 cnf(i_0_1060, plain, (strict_latt_str(esk175_0))).
% 45.16/6.93 cnf(i_0_1085, plain, (strict_latt_str(esk183_0))).
% 45.16/6.93 cnf(i_0_1100, plain, (strict_latt_str(esk186_0))).
% 45.16/6.93 cnf(i_0_888, plain, (v1_membered(empty_set))).
% 45.16/6.93 cnf(i_0_986, plain, (v1_membered(esk153_0))).
% 45.16/6.93 cnf(i_0_887, plain, (v2_membered(empty_set))).
% 45.16/6.93 cnf(i_0_985, plain, (v2_membered(esk153_0))).
% 45.16/6.93 cnf(i_0_886, plain, (v3_membered(empty_set))).
% 45.16/6.93 cnf(i_0_984, plain, (v3_membered(esk153_0))).
% 45.16/6.93 cnf(i_0_885, plain, (v4_membered(empty_set))).
% 45.16/6.93 cnf(i_0_983, plain, (v4_membered(esk153_0))).
% 45.16/6.93 cnf(i_0_884, plain, (v5_membered(empty_set))).
% 45.16/6.93 cnf(i_0_982, plain, (v5_membered(esk153_0))).
% 45.16/6.93 cnf(i_0_969, plain, (natural(esk149_0))).
% 45.16/6.93 cnf(i_0_712, plain, (empty(empty_set))).
% 45.16/6.93 cnf(i_0_997, plain, (empty(esk157_0))).
% 45.16/6.93 cnf(i_0_1002, plain, (empty(esk158_0))).
% 45.16/6.93 cnf(i_0_1007, plain, (empty(esk161_0))).
% 45.16/6.93 cnf(i_0_1019, plain, (empty(esk163_0))).
% 45.16/6.93 cnf(i_0_1037, plain, (empty(esk166_0))).
% 45.16/6.93 cnf(i_0_731, plain, (ordinal(omega))).
% 45.16/6.93 cnf(i_0_775, plain, (ordinal(empty_set))).
% 45.16/6.93 cnf(i_0_970, plain, (ordinal(esk149_0))).
% 45.16/6.93 cnf(i_0_990, plain, (ordinal(esk155_0))).
% 45.16/6.93 cnf(i_0_994, plain, (ordinal(esk156_0))).
% 45.16/6.93 cnf(i_0_1034, plain, (ordinal(esk166_0))).
% 45.16/6.93 cnf(i_0_1062, plain, (ordinal(esk176_0))).
% 45.16/6.93 cnf(i_0_733, plain, (epsilon_transitive(omega))).
% 45.16/6.93 cnf(i_0_777, plain, (epsilon_transitive(empty_set))).
% 45.16/6.93 cnf(i_0_972, plain, (epsilon_transitive(esk149_0))).
% 45.16/6.93 cnf(i_0_992, plain, (epsilon_transitive(esk155_0))).
% 45.16/6.93 cnf(i_0_996, plain, (epsilon_transitive(esk156_0))).
% 45.16/6.93 cnf(i_0_1036, plain, (epsilon_transitive(esk166_0))).
% 45.16/6.93 cnf(i_0_1064, plain, (epsilon_transitive(esk176_0))).
% 45.16/6.93 cnf(i_0_732, plain, (epsilon_connected(omega))).
% 45.16/6.93 cnf(i_0_776, plain, (epsilon_connected(empty_set))).
% 45.16/6.93 cnf(i_0_971, plain, (epsilon_connected(esk149_0))).
% 45.16/6.93 cnf(i_0_991, plain, (epsilon_connected(esk155_0))).
% 45.16/6.93 cnf(i_0_995, plain, (epsilon_connected(esk156_0))).
% 45.16/6.93 cnf(i_0_1035, plain, (epsilon_connected(esk166_0))).
% 45.16/6.93 cnf(i_0_1063, plain, (epsilon_connected(esk176_0))).
% 45.16/6.93 cnf(i_0_974, plain, (finite(esk150_0))).
% 45.16/6.93 cnf(i_0_780, plain, (function(empty_set))).
% 45.16/6.93 cnf(i_0_976, plain, (function(esk151_0))).
% 45.16/6.93 cnf(i_0_999, plain, (function(esk157_0))).
% 45.16/6.93 cnf(i_0_1018, plain, (function(esk163_0))).
% 45.16/6.93 cnf(i_0_1039, plain, (function(esk166_0))).
% 45.16/6.93 cnf(i_0_1058, plain, (function(esk174_0))).
% 45.16/6.93 cnf(i_0_1080, plain, (function(esk181_0))).
% 45.16/6.93 cnf(i_0_1093, plain, (lattice(esk186_0))).
% 45.16/6.93 cnf(i_0_1099, plain, (join_commutative(esk186_0))).
% 45.16/6.93 cnf(i_0_1098, plain, (join_associative(esk186_0))).
% 45.16/6.93 cnf(i_0_1097, plain, (meet_commutative(esk186_0))).
% 45.16/6.93 cnf(i_0_1096, plain, (meet_associative(esk186_0))).
% 45.16/6.93 cnf(i_0_1095, plain, (meet_absorbing(esk186_0))).
% 45.16/6.93 cnf(i_0_1094, plain, (join_absorbing(esk186_0))).
% 45.16/6.93 cnf(i_0_711, plain, (relation(empty_set))).
% 45.16/6.93 cnf(i_0_977, plain, (relation(esk151_0))).
% 45.16/6.93 cnf(i_0_1000, plain, (relation(esk157_0))).
% 45.16/6.93 cnf(i_0_1001, plain, (relation(esk158_0))).
% 45.16/6.93 cnf(i_0_1020, plain, (relation(esk163_0))).
% 45.16/6.93 cnf(i_0_1040, plain, (relation(esk166_0))).
% 45.16/6.93 cnf(i_0_1044, plain, (relation(esk168_0))).
% 45.16/6.93 cnf(i_0_1059, plain, (relation(esk174_0))).
% 45.16/6.93 cnf(i_0_1074, plain, (relation(esk178_0))).
% 45.16/6.93 cnf(i_0_1082, plain, (relation(esk181_0))).
% 45.16/6.93 cnf(i_0_779, plain, (one_to_one(empty_set))).
% 45.16/6.93 cnf(i_0_998, plain, (one_to_one(esk157_0))).
% 45.16/6.93 cnf(i_0_1038, plain, (one_to_one(esk166_0))).
% 45.16/6.93 cnf(i_0_1057, plain, (one_to_one(esk174_0))).
% 45.16/6.93 cnf(i_0_697, plain, (join_semilatt_str(esk129_0))).
% 45.16/6.93 cnf(i_0_693, plain, (meet_semilatt_str(esk125_0))).
% 45.16/6.93 cnf(i_0_696, plain, (one_sorted_str(esk128_0))).
% 45.16/6.93 cnf(i_0_1076, plain, (one_sorted_str(esk179_0))).
% 45.16/6.93 cnf(i_0_695, plain, (top_str(esk127_0))).
% 45.16/6.93 cnf(i_0_1029, plain, (transitive_relstr(esk165_0))).
% 45.16/6.93 cnf(i_0_993, plain, (being_limit_ordinal(esk156_0))).
% 45.16/6.93 cnf(i_0_1030, plain, (reflexive_relstr(esk165_0))).
% 45.16/6.93 cnf(i_0_710, plain, (relation_empty_yielding(empty_set))).
% 45.16/6.93 cnf(i_0_1073, plain, (relation_empty_yielding(esk178_0))).
% 45.16/6.93 cnf(i_0_1081, plain, (relation_empty_yielding(esk181_0))).
% 45.16/6.93 cnf(i_0_598, plain, (latt_str(boole_lattice(X1)))).
% 45.16/6.93 cnf(i_0_599, plain, (strict_latt_str(boole_lattice(X1)))).
% 45.16/6.93 cnf(i_0_452, plain, (being_limit_ordinal(omega))).
% 45.16/6.93 cnf(i_0_262, plain, (set_meet(empty_set)=empty_set)).
% 45.16/6.93 cnf(i_0_2675, lemma, (bottom_of_semilattstr(boole_lattice(X1))=empty_set)).
% 45.16/6.93 cnf(i_0_1009, plain, (natural(esk162_1(X1)))).
% 45.16/6.93 cnf(i_0_1016, plain, (empty(esk162_1(X1)))).
% 45.16/6.93 cnf(i_0_1046, plain, (empty(esk169_1(X1)))).
% 45.16/6.93 cnf(i_0_1010, plain, (ordinal(esk162_1(X1)))).
% 45.16/6.93 cnf(i_0_1130, plain, (subset(X1,X1))).
% 45.16/6.93 cnf(i_0_1131, plain, (equipotent(X1,X1))).
% 45.16/6.93 cnf(i_0_1012, plain, (epsilon_transitive(esk162_1(X1)))).
% 45.16/6.93 cnf(i_0_1011, plain, (epsilon_connected(esk162_1(X1)))).
% 45.16/6.93 cnf(i_0_1008, plain, (finite(esk162_1(X1)))).
% 45.16/6.93 cnf(i_0_719, plain, (preboolean(powerset(X1)))).
% 45.16/6.93 cnf(i_0_721, plain, (cup_closed(powerset(X1)))).
% 45.16/6.93 cnf(i_0_720, plain, (diff_closed(powerset(X1)))).
% 45.16/6.93 cnf(i_0_754, plain, (function(identity_relation(X1)))).
% 45.16/6.93 cnf(i_0_1014, plain, (function(esk162_1(X1)))).
% 45.16/6.93 cnf(i_0_1025, plain, (function(esk164_1(X1)))).
% 45.16/6.93 cnf(i_0_2440, lemma, (function(esk415_1(X1)))).
% 45.16/6.93 cnf(i_0_761, plain, (lattice(boole_lattice(X1)))).
% 45.16/6.93 cnf(i_0_767, plain, (join_commutative(boole_lattice(X1)))).
% 45.16/6.93 cnf(i_0_766, plain, (join_associative(boole_lattice(X1)))).
% 45.16/6.93 cnf(i_0_765, plain, (meet_commutative(boole_lattice(X1)))).
% 45.16/6.93 cnf(i_0_764, plain, (meet_associative(boole_lattice(X1)))).
% 45.16/6.93 cnf(i_0_763, plain, (meet_absorbing(boole_lattice(X1)))).
% 45.16/6.93 cnf(i_0_762, plain, (join_absorbing(boole_lattice(X1)))).
% 45.16/6.93 cnf(i_0_659, plain, (relation(identity_relation(X1)))).
% 45.16/6.93 cnf(i_0_610, plain, (relation(inclusion_relation(X1)))).
% 45.16/6.93 cnf(i_0_1015, plain, (relation(esk162_1(X1)))).
% 45.16/6.93 cnf(i_0_1026, plain, (relation(esk164_1(X1)))).
% 45.16/6.93 cnf(i_0_1071, plain, (relation(esk177_1(X1)))).
% 45.16/6.93 cnf(i_0_2441, lemma, (relation(esk415_1(X1)))).
% 45.16/6.93 cnf(i_0_2582, lemma, (relation(esk432_1(X1)))).
% 45.16/6.93 cnf(i_0_785, plain, (symmetric(identity_relation(X1)))).
% 45.16/6.93 cnf(i_0_1069, plain, (symmetric(esk177_1(X1)))).
% 45.16/6.93 cnf(i_0_783, plain, (transitive(identity_relation(X1)))).
% 45.16/6.93 cnf(i_0_2680, lemma, (transitive(inclusion_relation(X1)))).
% 45.16/6.93 cnf(i_0_1067, plain, (transitive(esk177_1(X1)))).
% 45.16/6.93 cnf(i_0_786, plain, (reflexive(identity_relation(X1)))).
% 45.16/6.93 cnf(i_0_2607, lemma, (reflexive(inclusion_relation(X1)))).
% 45.16/6.93 cnf(i_0_1070, plain, (reflexive(esk177_1(X1)))).
% 45.16/6.93 cnf(i_0_1013, plain, (one_to_one(esk162_1(X1)))).
% 45.16/6.93 cnf(i_0_1024, plain, (one_to_one(esk164_1(X1)))).
% 45.16/6.93 cnf(i_0_784, plain, (antisymmetric(identity_relation(X1)))).
% 45.16/6.93 cnf(i_0_2769, lemma, (antisymmetric(inclusion_relation(X1)))).
% 45.16/6.93 cnf(i_0_1068, plain, (antisymmetric(esk177_1(X1)))).
% 45.16/6.93 cnf(i_0_2676, lemma, (lower_bounded_semilattstr(boole_lattice(X1)))).
% 45.16/6.93 cnf(i_0_2608, lemma, (subset(empty_set,X1))).
% 45.16/6.93 cnf(i_0_2794, lemma, (relation_dom(identity_relation(X1))=X1)).
% 45.16/6.93 cnf(i_0_2439, lemma, (relation_dom(esk415_1(X1))=X1)).
% 45.16/6.93 cnf(i_0_2793, lemma, (relation_rng(identity_relation(X1))=X1)).
% 45.16/6.93 cnf(i_0_626, plain, (element(X1,powerset(X1)))).
% 45.16/6.93 cnf(i_0_701, plain, (element(esk133_1(X1),X1))).
% 45.16/6.93 cnf(i_0_2827, lemma, (union(powerset(X1))=X1)).
% 45.16/6.93 cnf(i_0_2724, plain, (set_difference(empty_set,X1)=empty_set)).
% 45.16/6.93 cnf(i_0_2540, plain, (set_union2(X1,empty_set)=X1)).
% 45.16/6.93 cnf(i_0_2674, plain, (set_difference(X1,empty_set)=X1)).
% 45.16/6.93 cnf(i_0_917, plain, (set_union2(X1,X1)=X1)).
% 45.16/6.93 cnf(i_0_2545, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))).
% 45.16/6.93 cnf(i_0_2479, lemma, (in(X1,esk419_1(X1)))).
% 45.16/6.93 cnf(i_0_453, plain, (in(empty_set,omega))).
% 45.16/6.93 cnf(i_0_2838, plain, (in(X1,esk459_1(X1)))).
% 45.16/6.93 cnf(i_0_2581, lemma, (well_orders(esk432_1(X1),X1))).
% 45.16/6.93 cnf(i_0_717, plain, (finite(unordered_pair(X1,X1)))).
% 45.16/6.93 cnf(i_0_979, plain, (function(esk152_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1041, plain, (function(esk167_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_980, plain, (relation(esk152_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1042, plain, (relation(esk167_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1017, plain, (element(esk162_1(X1),powerset(X1)))).
% 45.16/6.93 cnf(i_0_1047, plain, (element(esk169_1(X1),powerset(X1)))).
% 45.16/6.93 cnf(i_0_1049, plain, (element(esk170_1(X1),powerset(X1)))).
% 45.16/6.93 cnf(i_0_2807, lemma, (subset(X1,set_union2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2659, lemma, (subset(set_difference(X1,X2),X1))).
% 45.16/6.93 cnf(i_0_1027, plain, (relation_of2(esk164_1(X1),X1,X1))).
% 45.16/6.93 cnf(i_0_1072, plain, (relation_of2(esk177_1(X1),X1,X1))).
% 45.16/6.93 cnf(i_0_657, plain, (v1_partfun1(identity_relation(X1),X1,X1))).
% 45.16/6.93 cnf(i_0_1066, plain, (v1_partfun1(esk177_1(X1),X1,X1))).
% 45.16/6.93 cnf(i_0_1023, plain, (quasi_total(esk164_1(X1),X1,X1))).
% 45.16/6.93 cnf(i_0_1021, plain, (bijective(esk164_1(X1),X1,X1))).
% 45.16/6.93 cnf(i_0_1022, plain, (onto(esk164_1(X1),X1,X1))).
% 45.16/6.93 cnf(i_0_656, plain, (relation_of2_as_subset(identity_relation(X1),X1,X1))).
% 45.16/6.93 cnf(i_0_293, plain, (relation_field(inclusion_relation(X1))=X1)).
% 45.16/6.93 cnf(i_0_2601, plain, (set_difference(X1,X1)=empty_set)).
% 45.16/6.93 cnf(i_0_700, plain, (relation_of2(esk132_2(X1,X2),X1,X2))).
% 45.16/6.93 cnf(i_0_981, plain, (relation_of2(esk152_2(X1,X2),X1,X2))).
% 45.16/6.93 cnf(i_0_1043, plain, (relation_of2(esk167_2(X1,X2),X1,X2))).
% 45.16/6.93 cnf(i_0_978, plain, (quasi_total(esk152_2(X1,X2),X1,X2))).
% 45.16/6.93 cnf(i_0_702, plain, (relation_of2_as_subset(esk134_2(X1,X2),X1,X2))).
% 45.16/6.93 cnf(i_0_2670, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))).
% 45.16/6.93 cnf(i_0_2685, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))).
% 45.16/6.93 cnf(i_0_2456, lemma, (in(X1,set_union2(X1,unordered_pair(X1,X1))))).
% 45.16/6.93 cnf(i_0_230, plain, (the_carrier(boole_lattice(X1))=powerset(X1))).
% 45.16/6.93 cnf(i_0_332, plain, (in(X1,unordered_pair(X2,X1)))).
% 45.16/6.93 cnf(i_0_333, plain, (in(X1,unordered_pair(X1,X2)))).
% 45.16/6.93 cnf(i_0_206, plain, (in(X1,unordered_triple(X2,X3,X1)))).
% 45.16/6.93 cnf(i_0_207, plain, (in(X1,unordered_triple(X2,X1,X3)))).
% 45.16/6.93 cnf(i_0_208, plain, (in(X1,unordered_triple(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_2803, lemma, (pair_first(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X1)).
% 45.16/6.93 cnf(i_0_2802, lemma, (pair_second(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X2)).
% 45.16/6.93 cnf(i_0_104, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 45.16/6.93 cnf(i_0_105, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 45.16/6.93 cnf(i_0_107, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))).
% 45.16/6.93 cnf(i_0_730, plain, (~empty(omega))).
% 45.16/6.93 cnf(i_0_973, plain, (~empty(esk149_0))).
% 45.16/6.93 cnf(i_0_975, plain, (~empty(esk150_0))).
% 45.16/6.93 cnf(i_0_987, plain, (~empty(esk153_0))).
% 45.16/6.93 cnf(i_0_1045, plain, (~empty(esk168_0))).
% 45.16/6.93 cnf(i_0_1053, plain, (~empty(esk172_0))).
% 45.16/6.93 cnf(i_0_1065, plain, (~empty(esk176_0))).
% 45.16/6.93 cnf(i_0_1032, plain, (~empty_carrier(esk165_0))).
% 45.16/6.93 cnf(i_0_1075, plain, (~empty_carrier(esk179_0))).
% 45.16/6.93 cnf(i_0_1086, plain, (~empty_carrier(esk183_0))).
% 45.16/6.93 cnf(i_0_1101, plain, (~empty_carrier(esk186_0))).
% 45.16/6.93 cnf(i_0_722, plain, (~empty(powerset(X1)))).
% 45.16/6.93 cnf(i_0_924, plain, (~proper_subset(X1,X1))).
% 45.16/6.93 cnf(i_0_726, plain, (~empty_carrier(boole_lattice(X1)))).
% 45.16/6.93 cnf(i_0_311, plain, (~centered(empty_set))).
% 45.16/6.93 cnf(i_0_928, lemma, (unordered_pair(X1,X1)!=empty_set)).
% 45.16/6.93 cnf(i_0_844, plain, (~empty(unordered_pair(X1,X2)))).
% 45.16/6.93 cnf(i_0_295, plain, (~in(X1,empty_set))).
% 45.16/6.93 cnf(i_0_1048, plain, (~proper_element(esk170_1(X1),powerset(X1)))).
% 45.16/6.93 cnf(i_0_729, plain, (~empty(set_union2(X1,unordered_pair(X1,X1))))).
% 45.16/6.93 cnf(i_0_2765, lemma, (~proper_element(X1,powerset(X1)))).
% 45.16/6.93 cnf(i_0_2629, negated_conjecture, (join_on_relstr(esk436_0,esk438_0)=esk437_0|relstr_set_smaller(esk436_0,esk438_0,esk437_0))).
% 45.16/6.93 cnf(i_0_2626, negated_conjecture, (relstr_set_smaller(esk436_0,esk438_0,esk437_0)|ex_sup_of_relstr_set(esk436_0,esk438_0))).
% 45.16/6.93 cnf(i_0_2615, negated_conjecture, (join_on_relstr(esk436_0,esk438_0)!=esk437_0|~relstr_set_smaller(esk436_0,esk438_0,esk437_0)|~ex_sup_of_relstr_set(esk436_0,esk438_0)|~related(esk436_0,esk437_0,esk439_0))).
% 45.16/6.93 cnf(i_0_2621, negated_conjecture, (element(esk439_0,the_carrier(esk436_0))|join_on_relstr(esk436_0,esk438_0)!=esk437_0|~relstr_set_smaller(esk436_0,esk438_0,esk437_0)|~ex_sup_of_relstr_set(esk436_0,esk438_0))).
% 45.16/6.93 cnf(i_0_2618, negated_conjecture, (relstr_set_smaller(esk436_0,esk438_0,esk439_0)|join_on_relstr(esk436_0,esk438_0)!=esk437_0|~relstr_set_smaller(esk436_0,esk438_0,esk437_0)|~ex_sup_of_relstr_set(esk436_0,esk438_0))).
% 45.16/6.93 cnf(i_0_51, plain, (v4_membered(X1)|~v5_membered(X1))).
% 45.16/6.93 cnf(i_0_56, plain, (relation(X1)|~empty(X1))).
% 45.16/6.93 cnf(i_0_674, plain, (one_sorted_str(X1)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_677, plain, (one_sorted_str(X1)|~join_semilatt_str(X1))).
% 45.16/6.93 cnf(i_0_673, plain, (one_sorted_str(X1)|~meet_semilatt_str(X1))).
% 45.16/6.93 cnf(i_0_675, plain, (one_sorted_str(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_2772, lemma, (~subset(X1,X2)|~proper_subset(X2,X1))).
% 45.16/6.93 cnf(i_0_2799, plain, (~empty(X1)|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_2870, plain, (epred1_0|esk461_0!=empty_set|esk465_0!=empty_set)).
% 45.16/6.93 cnf(i_0_2786, plain, (X1=empty_set|~empty(X1))).
% 45.16/6.93 cnf(i_0_2628, negated_conjecture, (join_on_relstr(esk436_0,esk438_0)=esk437_0|related(esk436_0,esk437_0,X1)|~relstr_set_smaller(esk436_0,esk438_0,X1)|~element(X1,the_carrier(esk436_0)))).
% 45.16/6.93 cnf(i_0_2625, negated_conjecture, (ex_sup_of_relstr_set(esk436_0,esk438_0)|related(esk436_0,esk437_0,X1)|~relstr_set_smaller(esk436_0,esk438_0,X1)|~element(X1,the_carrier(esk436_0)))).
% 45.16/6.93 cnf(i_0_2875, plain, (epred1_0|ordinal(esk463_0)|esk461_0!=empty_set)).
% 45.16/6.93 cnf(i_0_96, plain, (v1_membered(X1)|~v2_membered(X1))).
% 45.16/6.93 cnf(i_0_24, plain, (v1_membered(X1)|~empty(X1))).
% 45.16/6.93 cnf(i_0_87, plain, (v2_membered(X1)|~v3_membered(X1))).
% 45.16/6.93 cnf(i_0_23, plain, (v2_membered(X1)|~empty(X1))).
% 45.16/6.93 cnf(i_0_78, plain, (v3_membered(X1)|~v4_membered(X1))).
% 45.16/6.93 cnf(i_0_22, plain, (v3_membered(X1)|~empty(X1))).
% 45.16/6.93 cnf(i_0_21, plain, (v4_membered(X1)|~empty(X1))).
% 45.16/6.93 cnf(i_0_20, plain, (v5_membered(X1)|~empty(X1))).
% 45.16/6.93 cnf(i_0_88, plain, (ordinal(X1)|~empty(X1))).
% 45.16/6.93 cnf(i_0_90, plain, (epsilon_transitive(X1)|~empty(X1))).
% 45.16/6.93 cnf(i_0_53, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_89, plain, (epsilon_connected(X1)|~empty(X1))).
% 45.16/6.93 cnf(i_0_52, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_38, plain, (finite(X1)|~empty(X1))).
% 45.16/6.93 cnf(i_0_40, plain, (cup_closed(X1)|~preboolean(X1))).
% 45.16/6.93 cnf(i_0_39, plain, (diff_closed(X1)|~preboolean(X1))).
% 45.16/6.93 cnf(i_0_41, plain, (function(X1)|~empty(X1))).
% 45.16/6.93 cnf(i_0_678, plain, (join_semilatt_str(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_679, plain, (meet_semilatt_str(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_3, plain, (~in(X1,X2)|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_4, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))).
% 45.16/6.93 cnf(i_0_80, plain, (natural(X1)|~element(X1,omega))).
% 45.16/6.93 cnf(i_0_81, plain, (ordinal(X1)|~element(X1,omega))).
% 45.16/6.93 cnf(i_0_83, plain, (epsilon_transitive(X1)|~element(X1,omega))).
% 45.16/6.93 cnf(i_0_82, plain, (epsilon_connected(X1)|~element(X1,omega))).
% 45.16/6.93 cnf(i_0_470, plain, (being_limit_ordinal(X1)|union(X1)!=X1)).
% 45.16/6.93 cnf(i_0_1003, plain, (empty(X1)|~empty(esk159_1(X1)))).
% 45.16/6.93 cnf(i_0_1055, plain, (empty(X1)|~empty(esk173_1(X1)))).
% 45.16/6.93 cnf(i_0_1078, plain, (empty(X1)|~empty(esk180_1(X1)))).
% 45.16/6.93 cnf(i_0_79, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 45.16/6.93 cnf(i_0_68, plain, (preboolean(X1)|~diff_closed(X1)|~cup_closed(X1))).
% 45.16/6.93 cnf(i_0_424, plain, (transitive(X1)|~well_ordering(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_425, plain, (reflexive(X1)|~well_ordering(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_423, plain, (antisymmetric(X1)|~well_ordering(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_372, plain, (epsilon_connected(X1)|esk72_1(X1)!=esk71_1(X1))).
% 45.16/6.93 cnf(i_0_215, plain, (function(X1)|esk30_1(X1)!=esk29_1(X1))).
% 45.16/6.93 cnf(i_0_2622, negated_conjecture, (related(esk436_0,esk437_0,X1)|element(esk439_0,the_carrier(esk436_0))|~relstr_set_smaller(esk436_0,esk438_0,esk437_0)|~relstr_set_smaller(esk436_0,esk438_0,X1)|~element(X1,the_carrier(esk436_0)))).
% 45.16/6.93 cnf(i_0_553, plain, (subset(X1,X2)|~proper_subset(X1,X2))).
% 45.16/6.93 cnf(i_0_1123, plain, (equipotent(X1,X2)|~are_equipotent(X1,X2))).
% 45.16/6.93 cnf(i_0_2903, plain, (X1=X2|~epred2_3(X3,X2,X1))).
% 45.16/6.93 cnf(i_0_2898, plain, (X1=X2|~epred2_3(X2,X3,X1))).
% 45.16/6.93 cnf(i_0_2619, negated_conjecture, (relstr_set_smaller(esk436_0,esk438_0,esk439_0)|related(esk436_0,esk437_0,X1)|~relstr_set_smaller(esk436_0,esk438_0,esk437_0)|~relstr_set_smaller(esk436_0,esk438_0,X1)|~element(X1,the_carrier(esk436_0)))).
% 45.16/6.93 cnf(i_0_2616, negated_conjecture, (related(esk436_0,esk437_0,X1)|~relstr_set_smaller(esk436_0,esk438_0,esk437_0)|~relstr_set_smaller(esk436_0,esk438_0,X1)|~related(esk436_0,esk437_0,esk439_0)|~element(X1,the_carrier(esk436_0)))).
% 45.16/6.93 cnf(i_0_63, plain, (natural(X1)|~empty(X1))).
% 45.16/6.93 cnf(i_0_422, plain, (connected(X1)|~well_ordering(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2684, lemma, (X1=empty_set|~subset(X1,empty_set))).
% 45.16/6.93 cnf(i_0_2543, plain, (element(X1,X2)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_320, plain, (empty_carrier_subset(X1)=empty_set|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_471, plain, (union(X1)=X1|~being_limit_ordinal(X1))).
% 45.16/6.93 cnf(i_0_421, plain, (well_founded_relation(X1)|~well_ordering(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2106, lemma, (ordinal(X1)|~in(X1,esk380_1(X2)))).
% 45.16/6.93 cnf(i_0_317, plain, (epsilon_transitive(X1)|~subset(esk56_1(X1),X1))).
% 45.16/6.93 cnf(i_0_846, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 45.16/6.93 cnf(i_0_377, plain, (cast_as_carrier_subset(X1)=the_carrier(X1)|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_271, plain, (empty(the_carrier(X1))|~one_sorted_str(X1)|~empty_carrier(X1))).
% 45.16/6.93 cnf(i_0_612, plain, (element(join_on_relstr(X1,X2),the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_309, plain, (X1=empty_set|centered(X1)|esk53_1(X1)!=empty_set)).
% 45.16/6.93 cnf(i_0_793, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 45.16/6.93 cnf(i_0_930, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_2907, plain, (transitive(X1)|~epred3_2(X1,X2)|~transitive(X2))).
% 45.16/6.93 cnf(i_0_2908, plain, (reflexive(X1)|~epred3_2(X1,X2)|~reflexive(X2))).
% 45.16/6.93 cnf(i_0_270, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_2905, plain, (antisymmetric(X1)|~epred3_2(X1,X2)|~antisymmetric(X2))).
% 45.16/6.93 cnf(i_0_2906, plain, (connected(X1)|~epred3_2(X1,X2)|~connected(X2))).
% 45.16/6.93 cnf(i_0_2904, plain, (well_founded_relation(X1)|~epred3_2(X1,X2)|~well_founded_relation(X2))).
% 45.16/6.93 cnf(i_0_738, plain, (v1_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_737, plain, (v2_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_336, plain, (~proper_element(union(X1),X1)|~element(union(X1),X1))).
% 45.16/6.93 cnf(i_0_342, plain, (well_founded_relation(X1)|esk62_1(X1)!=empty_set|~relation(X1))).
% 45.16/6.93 cnf(i_0_883, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 45.16/6.93 cnf(i_0_890, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 45.16/6.93 cnf(i_0_789, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(cast_as_carrier_subset(X1)))).
% 45.16/6.93 cnf(i_0_736, plain, (v3_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_735, plain, (v4_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_734, plain, (v5_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_893, plain, (empty(relation_dom(X1))|~empty(X1))).
% 45.16/6.93 cnf(i_0_1054, plain, (finite(esk173_1(X1))|empty(X1))).
% 45.16/6.93 cnf(i_0_1083, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(esk182_1(X1)))).
% 45.16/6.93 cnf(i_0_54, plain, (reflexive(X1)|~transitive(X1)|~symmetric(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_1124, plain, (are_equipotent(X1,X2)|~equipotent(X1,X2))).
% 45.16/6.93 cnf(i_0_895, plain, (empty(relation_rng(X1))|~empty(X1))).
% 45.16/6.93 cnf(i_0_739, plain, (empty(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_708, plain, (empty(relation_inverse(X1))|~empty(X1))).
% 45.16/6.93 cnf(i_0_868, plain, (ordinal(union(X1))|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_1077, plain, (finite(esk180_1(X1))|empty(X1))).
% 45.16/6.93 cnf(i_0_944, lemma, (antisymmetric(X1)|esk145_1(X1)!=esk144_1(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_953, lemma, (connected(X1)|esk147_1(X1)!=esk146_1(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2780, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_870, plain, (epsilon_transitive(union(X1))|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_869, plain, (epsilon_connected(union(X1))|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_692, plain, (function(the_L_join(X1))|~join_semilatt_str(X1))).
% 45.16/6.93 cnf(i_0_686, plain, (function(the_L_meet(X1))|~meet_semilatt_str(X1))).
% 45.16/6.93 cnf(i_0_664, plain, (function(identity_on_carrier(X1))|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_213, plain, (function(esk27_1(X1))|~finite(X1))).
% 45.16/6.93 cnf(i_0_892, plain, (relation(relation_dom(X1))|~empty(X1))).
% 45.16/6.93 cnf(i_0_894, plain, (relation(relation_rng(X1))|~empty(X1))).
% 45.16/6.93 cnf(i_0_707, plain, (relation(relation_inverse(X1))|~empty(X1))).
% 45.16/6.93 cnf(i_0_644, plain, (relation(relation_inverse(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_214, plain, (relation(esk27_1(X1))|~finite(X1))).
% 45.16/6.93 cnf(i_0_2726, lemma, (connected(inclusion_relation(X1))|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_2788, lemma, (well_founded_relation(inclusion_relation(X1))|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_2776, lemma, (X1=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 45.16/6.93 cnf(i_0_2806, lemma, (well_ordering(inclusion_relation(X1))|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_942, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)).
% 45.16/6.93 cnf(i_0_2107, lemma, (in(X1,X2)|~in(X1,esk380_1(X2)))).
% 45.16/6.93 cnf(i_0_1209, lemma, (function(esk198_1(X1))|esk197_1(X1)!=esk196_1(X1))).
% 45.16/6.93 cnf(i_0_212, plain, (relation_rng(esk27_1(X1))=X1|~finite(X1))).
% 45.16/6.93 cnf(i_0_2775, lemma, (X1=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 45.16/6.93 cnf(i_0_468, plain, (antisymmetric_relstr(X1)|~is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2678, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 45.16/6.93 cnf(i_0_1210, lemma, (relation(esk198_1(X1))|esk197_1(X1)!=esk196_1(X1))).
% 45.16/6.93 cnf(i_0_2814, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 45.16/6.93 cnf(i_0_922, plain, (relation_inverse(relation_inverse(X1))=X1|~relation(X1))).
% 45.16/6.93 cnf(i_0_2809, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))).
% 45.16/6.93 cnf(i_0_466, plain, (is_transitive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_373, plain, (epsilon_connected(X1)|~in(esk71_1(X1),esk72_1(X1)))).
% 45.16/6.93 cnf(i_0_371, plain, (epsilon_connected(X1)|~in(esk72_1(X1),esk71_1(X1)))).
% 45.16/6.93 cnf(i_0_126, plain, (identity_on_carrier(X1)=identity_relation(the_carrier(X1))|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_2777, lemma, (relation_dom(X1)=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 45.16/6.93 cnf(i_0_2679, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_2867, plain, (epred1_0|esk461_0!=empty_set|esk466_1(X1)!=X1|~in(X1,esk465_0))).
% 45.16/6.93 cnf(i_0_2843, plain, (epred1_0|esk465_0!=empty_set|esk462_1(X1)!=X1|~in(X1,esk461_0))).
% 45.16/6.93 cnf(i_0_306, plain, (set_meet(esk53_1(X1))=empty_set|X1=empty_set|centered(X1))).
% 45.16/6.93 cnf(i_0_69, plain, (one_to_one(X1)|~empty(X1))).
% 45.16/6.93 cnf(i_0_193, plain, (transitive(X1)|~is_transitive_in(X1,relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_579, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_147, plain, (antisymmetric(X1)|~is_antisymmetric_in(X1,relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_444, plain, (transitive_relstr(X1)|~is_transitive_in(the_InternalRel(X1),the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2790, lemma, (relstr_set_smaller(X1,empty_set,X2)|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2808, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)).
% 45.16/6.93 cnf(i_0_2778, lemma, (relation_rng(X1)=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 45.16/6.93 cnf(i_0_307, plain, (X1=empty_set|centered(X1)|finite(esk53_1(X1)))).
% 45.16/6.93 cnf(i_0_183, plain, (connected(X1)|~is_connected_in(X1,relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_2767, lemma, (well_founded_relation(X1)|~is_well_founded_in(X1,relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_2819, lemma, (well_ordering(X1)|~well_orders(X1,relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_630, plain, (element(meet_on_relstr(X1,X2),the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_57, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 45.16/6.93 cnf(i_0_1957, plain, (ordinal(X1)|esk335_0!=esk334_0|~in(X1,esk336_1(X2)))).
% 45.16/6.93 cnf(i_0_5, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v1_membered(X2))).
% 45.16/6.93 cnf(i_0_2588, lemma, (esk433_1(X1)=empty_set|function(esk434_1(X1))|empty(X1))).
% 45.16/6.93 cnf(i_0_2451, plain, (disjoint(X1,X2)|~disjoint(X2,X1))).
% 45.16/6.93 cnf(i_0_2452, plain, (equipotent(X1,X2)|~equipotent(X2,X1))).
% 45.16/6.93 cnf(i_0_7, plain, (v1_xcmplx_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_10, plain, (v1_xcmplx_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_14, plain, (v1_xcmplx_0(X1)|~v4_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_19, plain, (v1_xcmplx_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_2589, lemma, (esk433_1(X1)=empty_set|relation(esk434_1(X1))|empty(X1))).
% 45.16/6.93 cnf(i_0_2677, lemma, (~in(X1,X2)|~in(X3,X1)|~in(X2,X3))).
% 45.16/6.93 cnf(i_0_2681, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))).
% 45.16/6.93 cnf(i_0_1120, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 45.16/6.93 cnf(i_0_867, plain, (empty_carrier(X1)|~lattice(X1)|~empty_carrier(poset_of_lattice(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_6, plain, (v1_xreal_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_9, plain, (v1_xreal_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_13, plain, (v1_xreal_0(X1)|~v4_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_17, plain, (v1_xreal_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_2587, lemma, (relation_dom(esk434_1(X1))=X1|esk433_1(X1)=empty_set|empty(X1))).
% 45.16/6.93 cnf(i_0_1091, plain, (empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|~empty(esk185_1(X1)))).
% 45.16/6.93 cnf(i_0_118, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 45.16/6.93 cnf(i_0_2667, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))).
% 45.16/6.93 cnf(i_0_2668, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))).
% 45.16/6.93 cnf(i_0_8, plain, (v1_rat_1(X1)|~v3_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_11, plain, (v1_rat_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_15, plain, (v1_rat_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_12, plain, (v1_int_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_381, plain, (subset(X1,X2)|~in(esk75_2(X1,X2),X2))).
% 45.16/6.93 cnf(i_0_2804, plain, (~in(X1,esk458_2(X2,X3))|~in(X2,X3)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_294, plain, (X1=empty_set|in(esk50_1(X1),X1))).
% 45.16/6.93 cnf(i_0_16, plain, (v1_int_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_18, plain, (natural(X1)|~v5_membered(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_326, plain, (empty(X1)|~empty(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_35, plain, (ordinal(X1)|~ordinal(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_2660, lemma, (relation_rng(relation_inverse(X1))=relation_dom(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2565, lemma, (ordinal(X1)|~ordinal(X2)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_37, plain, (epsilon_transitive(X1)|~ordinal(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_36, plain, (epsilon_connected(X1)|~ordinal(X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_615, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_616, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_325, plain, (element(X1,X2)|~empty(X2)|~empty(X1))).
% 45.16/6.93 cnf(i_0_820, plain, (v1_membered(set_difference(X1,X2))|~v1_membered(X1))).
% 45.16/6.93 cnf(i_0_2661, lemma, (relation_dom(relation_inverse(X1))=relation_rng(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2485, lemma, (finite(X1)|~subset(X1,X2)|~finite(X2))).
% 45.16/6.93 cnf(i_0_465, plain, (is_antisymmetric_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_464, plain, (is_connected_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_467, plain, (is_reflexive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2636, lemma, (ordinal(X1)|in(esk440_1(X1),X1))).
% 45.16/6.93 cnf(i_0_822, plain, (v1_membered(set_difference(X1,X2))|~v2_membered(X1))).
% 45.16/6.93 cnf(i_0_825, plain, (v1_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 45.16/6.93 cnf(i_0_850, plain, (v1_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 45.16/6.93 cnf(i_0_855, plain, (v1_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 45.16/6.93 cnf(i_0_2688, lemma, (being_limit_ordinal(X1)|ordinal(esk445_1(X1))|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_318, plain, (epsilon_transitive(X1)|in(esk56_1(X1),X1))).
% 45.16/6.93 cnf(i_0_463, plain, (is_well_founded_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2635, lemma, (ordinal(X1)|~subset(esk440_1(X1),X1)|~ordinal(esk440_1(X1)))).
% 45.16/6.93 cnf(i_0_2763, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))).
% 45.16/6.93 cnf(i_0_1129, plain, (ordinal_subset(X1,X1)|~ordinal(X2)|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_375, plain, (epsilon_connected(X1)|in(esk71_1(X1),X1))).
% 45.16/6.93 cnf(i_0_821, plain, (v2_membered(set_difference(X1,X2))|~v2_membered(X1))).
% 45.16/6.93 cnf(i_0_824, plain, (v2_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 45.16/6.93 cnf(i_0_849, plain, (v2_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 45.16/6.93 cnf(i_0_854, plain, (v2_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 45.16/6.93 cnf(i_0_2692, lemma, (being_limit_ordinal(X1)|ordinal(esk446_1(X1))|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_374, plain, (epsilon_connected(X1)|in(esk72_1(X1),X1))).
% 45.16/6.93 cnf(i_0_518, plain, (one_to_one(X1)|esk107_1(X1)!=esk106_1(X1)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_2473, lemma, (subset(relation_dom(X1),X2)|~relation_of2_as_subset(X1,X2,X3))).
% 45.16/6.93 cnf(i_0_2472, lemma, (subset(relation_rng(X1),X2)|~relation_of2_as_subset(X1,X3,X2))).
% 45.16/6.93 cnf(i_0_385, plain, (is_well_founded_in(X1,X2)|esk77_2(X1,X2)!=empty_set|~relation(X1))).
% 45.16/6.93 cnf(i_0_255, plain, (relation(X1)|in(esk40_1(X1),X1))).
% 45.16/6.93 cnf(i_0_823, plain, (v3_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 45.16/6.93 cnf(i_0_848, plain, (v3_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 45.16/6.93 cnf(i_0_853, plain, (v3_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 45.16/6.93 cnf(i_0_847, plain, (v4_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 45.16/6.93 cnf(i_0_49, plain, (join_commutative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_941, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))).
% 45.16/6.93 cnf(i_0_2839, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))).
% 45.16/6.93 cnf(i_0_2821, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))).
% 45.16/6.93 cnf(i_0_2554, lemma, (in(X1,X2)|~epsilon_transitive(X1)|~ordinal(X2)|~proper_subset(X1,X2))).
% 45.16/6.93 cnf(i_0_1122, plain, (subset(X1,X2)|~ordinal_subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_852, plain, (v4_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 45.16/6.93 cnf(i_0_851, plain, (v5_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 45.16/6.93 cnf(i_0_709, plain, (finite(set_difference(X1,X2))|~finite(X1))).
% 45.16/6.93 cnf(i_0_665, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1))).
% 45.16/6.93 cnf(i_0_48, plain, (join_associative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_670, plain, (relation(relation_rng_restriction(X1,X2))|~relation(X2))).
% 45.16/6.93 cnf(i_0_47, plain, (meet_commutative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_46, plain, (meet_associative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_45, plain, (meet_absorbing(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_44, plain, (join_absorbing(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_628, plain, (relation(relation_restriction(X1,X2))|~relation(X1))).
% 45.16/6.93 cnf(i_0_2475, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))).
% 45.16/6.93 cnf(i_0_604, plain, (element(empty_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_624, plain, (element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_1973, plain, (esk333_0=esk334_0|ordinal(X1)|~in(X1,esk336_1(X2)))).
% 45.16/6.93 cnf(i_0_308, plain, (X1=empty_set|centered(X1)|subset(esk53_1(X1),X1))).
% 45.16/6.93 cnf(i_0_873, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2753, lemma, (~element(X1,powerset(X2))|~in(X3,subset_complement(X2,X1))|~in(X3,X1))).
% 45.16/6.93 cnf(i_0_319, plain, (subset(X1,X2)|~epsilon_transitive(X2)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_1119, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 45.16/6.93 cnf(i_0_1965, plain, (esk333_0=esk335_0|ordinal(X1)|~in(X1,esk336_1(X2)))).
% 45.16/6.93 cnf(i_0_469, plain, (is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))|~antisymmetric_relstr(X1)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2848, plain, (epred1_0|ordinal(esk463_0)|esk462_1(X1)!=X1|~in(X1,esk461_0))).
% 45.16/6.93 cnf(i_0_632, plain, (empty_carrier(X1)|rel_str(poset_of_lattice(X1))|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2879, plain, (epred1_0|element(esk461_0,powerset(powerset(empty_set)))|esk465_0!=empty_set)).
% 45.16/6.93 cnf(i_0_2727, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))).
% 45.16/6.93 cnf(i_0_2791, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))).
% 45.16/6.93 cnf(i_0_436, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_633, plain, (antisymmetric_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_960, lemma, (subset(X1,union(X2))|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_1107, plain, (relation_of_lattice(X1)=k2_lattice3(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_1969, plain, (ordinal(esk334_0)|ordinal(X1)|~in(X1,esk336_1(X2)))).
% 45.16/6.93 cnf(i_0_1961, plain, (ordinal(esk335_0)|ordinal(X1)|~in(X1,esk336_1(X2)))).
% 45.16/6.93 cnf(i_0_430, plain, (function(esk87_2(X1,X2))|~equipotent(X1,X2))).
% 45.16/6.93 cnf(i_0_431, plain, (relation(esk87_2(X1,X2))|~equipotent(X1,X2))).
% 45.16/6.93 cnf(i_0_429, plain, (one_to_one(esk87_2(X1,X2))|~equipotent(X1,X2))).
% 45.16/6.93 cnf(i_0_964, lemma, (element(X1,powerset(X2))|~in(esk148_2(X1,X2),X2))).
% 45.16/6.93 cnf(i_0_1004, plain, (empty(X1)|element(esk159_1(X1),powerset(X1)))).
% 45.16/6.93 cnf(i_0_1056, plain, (empty(X1)|element(esk173_1(X1),powerset(X1)))).
% 45.16/6.93 cnf(i_0_517, plain, (relation_of_lattice(X1)=a_1_0_filter_1(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_407, plain, (is_antisymmetric_in(X1,X2)|esk83_2(X1,X2)!=esk82_2(X1,X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_477, plain, (is_connected_in(X1,X2)|esk97_2(X1,X2)!=esk96_2(X1,X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2519, lemma, (in(X1,X2)|~relation(X2)|~in(X1,relation_restriction(X2,X3)))).
% 45.16/6.93 cnf(i_0_25, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v1_membered(X2))).
% 45.16/6.93 cnf(i_0_1079, plain, (empty(X1)|element(esk180_1(X1),powerset(X1)))).
% 45.16/6.93 cnf(i_0_2884, plain, (epred1_0|ordinal(esk463_0)|element(esk461_0,powerset(powerset(empty_set))))).
% 45.16/6.93 cnf(i_0_328, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 45.16/6.93 cnf(i_0_27, plain, (v1_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_1220, lemma, (relation(esk198_1(X1))|in(esk195_1(X1),X1))).
% 45.16/6.93 cnf(i_0_30, plain, (v1_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_34, plain, (v1_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_62, plain, (v1_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_26, plain, (v2_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_29, plain, (v2_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_33, plain, (v2_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_61, plain, (v2_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_28, plain, (v3_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_636, plain, (empty_carrier(X1)|strict_rel_str(poset_of_lattice(X1))|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_32, plain, (v3_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_60, plain, (v3_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_31, plain, (v4_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_59, plain, (v4_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_58, plain, (v5_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_67, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_650, plain, (empty_carrier(X1)|element(bottom_of_semilattstr(X1),the_carrier(X1))|~meet_semilatt_str(X1))).
% 45.16/6.93 cnf(i_0_2789, lemma, (relstr_element_smaller(X1,empty_set,X2)|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2497, lemma, (relation_image(X1,relation_dom(X1))=relation_rng(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_261, plain, (subset(X1,cartesian_product2(X2,X3))|~relation_of2(X1,X2,X3))).
% 45.16/6.93 cnf(i_0_1121, plain, (ordinal_subset(X1,X2)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_832, plain, (relation(the_L_join(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_associative(X1))).
% 45.16/6.93 cnf(i_0_881, plain, (relation(the_L_meet(X1))|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_associative(X1))).
% 45.16/6.93 cnf(i_0_211, plain, (in(relation_dom(esk27_1(X1)),omega)|~finite(X1))).
% 45.16/6.93 cnf(i_0_445, plain, (is_transitive_in(the_InternalRel(X1),the_carrier(X1))|~transitive_relstr(X1)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2458, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2))))).
% 45.16/6.93 cnf(i_0_551, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))).
% 45.16/6.93 cnf(i_0_728, plain, (empty(X1)|~empty_carrier(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 45.16/6.93 cnf(i_0_826, plain, (function(relation_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_2773, lemma, (one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_2658, lemma, (apply(identity_relation(X1),X2)=X2|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_516, plain, (element(esk102_2(X1,X2),the_carrier(X1))|~ex_sup_of_relstr_set(X1,X2)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_687, plain, (relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_586, plain, (rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 45.16/6.93 cnf(i_0_2813, lemma, (subset(relation_dom_restriction(X1,X2),X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_260, plain, (relation_of2(X1,X2,X3)|~subset(X1,cartesian_product2(X2,X3)))).
% 45.16/6.93 cnf(i_0_286, plain, (~relation(X1)|~in(X2,fiber(X1,X2)))).
% 45.16/6.93 cnf(i_0_2731, lemma, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2464, lemma, (subset(relation_rng_restriction(X1,X2),X2)|~relation(X2))).
% 45.16/6.93 cnf(i_0_148, plain, (is_antisymmetric_in(X1,relation_field(X1))|~antisymmetric(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_184, plain, (is_connected_in(X1,relation_field(X1))|~connected(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_194, plain, (is_transitive_in(X1,relation_field(X1))|~transitive(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_580, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_428, plain, (relation_dom(esk87_2(X1,X2))=X1|~equipotent(X1,X2))).
% 45.16/6.93 cnf(i_0_2768, lemma, (is_well_founded_in(X1,relation_field(X1))|~well_founded_relation(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2818, lemma, (well_orders(X1,relation_field(X1))|~well_ordering(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_1005, plain, (open_subset(esk160_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_1051, plain, (open_subset(esk171_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_427, plain, (relation_rng(esk87_2(X1,X2))=X2|~equipotent(X1,X2))).
% 45.16/6.93 cnf(i_0_882, plain, (closed_subset(cast_as_carrier_subset(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_1050, plain, (closed_subset(esk171_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_1088, plain, (closed_subset(esk184_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_705, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 45.16/6.93 cnf(i_0_898, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 45.16/6.93 cnf(i_0_716, plain, (finite(cartesian_product2(X1,X2))|~finite(X2)|~finite(X1))).
% 45.16/6.93 cnf(i_0_896, plain, (finite(set_union2(X1,X2))|~finite(X2)|~finite(X1))).
% 45.16/6.93 cnf(i_0_856, plain, (function(relation_dom_restriction(X1,X2))|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_875, plain, (function(relation_rng_restriction(X1,X2))|~relation(X2)|~function(X2))).
% 45.16/6.93 cnf(i_0_790, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_760, plain, (relation(the_L_join(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_commutative(X1))).
% 45.16/6.93 cnf(i_0_335, plain, (X1=union(X2)|proper_element(X1,X2)|~element(X1,X2))).
% 45.16/6.93 cnf(i_0_843, plain, (relation(set_difference(X1,X2))|~relation(X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_704, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 45.16/6.93 cnf(i_0_897, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 45.16/6.93 cnf(i_0_652, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2571, lemma, (transitive(relation_restriction(X1,X2))|~transitive(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2562, lemma, (reflexive(relation_restriction(X1,X2))|~reflexive(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2575, lemma, (antisymmetric(relation_restriction(X1,X2))|~antisymmetric(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2569, lemma, (connected(relation_restriction(X1,X2))|~connected(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_862, plain, (relation(the_L_meet(X1))|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_commutative(X1))).
% 45.16/6.93 cnf(i_0_2637, lemma, (well_founded_relation(relation_restriction(X1,X2))|~well_founded_relation(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2643, lemma, (well_ordering(relation_restriction(X1,X2))|~well_ordering(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_714, plain, (relation_empty_yielding(relation_dom_restriction(X1,X2))|~relation_empty_yielding(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_362, plain, (is_a_cover_of_carrier(X1,esk70_1(X1))|compact_top_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_774, plain, (relation(the_InternalRel(X1))|~reflexive_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_771, plain, (transitive(the_InternalRel(X1))|~reflexive_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_773, plain, (reflexive(the_InternalRel(X1))|~reflexive_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_772, plain, (antisymmetric(the_InternalRel(X1))|~reflexive_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2690, lemma, (~being_limit_ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_361, plain, (compact_top_space(X1)|open_subsets(esk70_1(X1),X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_2812, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_dom(relation_dom_restriction(X3,X2))))).
% 45.16/6.93 cnf(i_0_2537, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_field(relation_restriction(X3,X2))))).
% 45.16/6.93 cnf(i_0_2462, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_rng(relation_rng_restriction(X2,X3))))).
% 45.16/6.93 cnf(i_0_572, plain, (relation_inverse(X1)=function_inverse(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_2687, lemma, (being_limit_ordinal(X1)|in(esk445_1(X1),X1)|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_253, plain, (in(the_carrier(X1),the_topology(X1))|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_1006, plain, (element(esk160_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_1052, plain, (element(esk171_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_1089, plain, (element(esk184_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_671, plain, (relation(relation_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2825, lemma, (relation_composition(identity_relation(X1),X2)=relation_dom_restriction(X2,X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_1303, lemma, (ordinal(esk209_1(X1))|~ordinal(X2)|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_2578, lemma, (finite(relation_rng(X1))|~relation(X1)|~function(X1)|~finite(relation_dom(X1)))).
% 45.16/6.93 cnf(i_0_2105, lemma, (in(X1,esk380_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_383, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_931, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))).
% 45.16/6.93 cnf(i_0_571, plain, (element(esk119_2(X1,X2),the_carrier(X1))|~ex_inf_of_relstr_set(X1,X2)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_683, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 45.16/6.93 cnf(i_0_1113, plain, (union_of_subsets(X1,X2)=union(X2)|~element(X2,powerset(powerset(X1))))).
% 45.16/6.93 cnf(i_0_688, plain, (element(the_topology(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1))).
% 45.16/6.93 cnf(i_0_619, plain, (transitive(k2_lattice3(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_382, plain, (subset(X1,X2)|in(esk75_2(X1,X2),X1))).
% 45.16/6.93 cnf(i_0_2544, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))).
% 45.16/6.93 cnf(i_0_2774, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))).
% 45.16/6.93 cnf(i_0_2576, lemma, (well_ordering(relation_restriction(X1,X2))|~well_orders(X1,X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2062, lemma, (in(X1,cartesian_product2(X2,X3))|~in(X1,esk356_2(X2,X3)))).
% 45.16/6.93 cnf(i_0_2682, lemma, (disjoint(X1,X2)|in(esk444_2(X1,X2),X2))).
% 45.16/6.93 cnf(i_0_663, plain, (quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_662, plain, (relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_1, plain, (rel_str_of(the_carrier(X1),the_InternalRel(X1))=X1|~strict_rel_str(X1)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_1958, plain, (esk337_2(X1,X2)=X2|esk335_0!=esk334_0|~in(X2,esk336_1(X1)))).
% 45.16/6.93 cnf(i_0_621, plain, (reflexive(k2_lattice3(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2683, lemma, (disjoint(X1,X2)|in(esk444_2(X1,X2),X1))).
% 45.16/6.93 cnf(i_0_420, plain, (well_ordering(X1)|~well_founded_relation(X1)|~connected(X1)|~antisymmetric(X1)|~reflexive(X1)|~transitive(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_275, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))).
% 45.16/6.93 cnf(i_0_460, plain, (set_difference(X1,X2)=subset_complement(X1,X2)|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_2507, lemma, (element(esk422_2(X1,X2),the_carrier(X1))|~ex_sup_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_620, plain, (antisymmetric(k2_lattice3(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_634, plain, (transitive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_635, plain, (reflexive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2805, plain, (in(esk458_2(X1,X2),X2)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_937, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_2526, lemma, (X1=empty_set|relation_inverse_image(X2,X1)!=empty_set|~subset(X1,relation_rng(X2))|~relation(X2))).
% 45.16/6.93 cnf(i_0_2071, lemma, (esk360_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk359_1(X1)))).
% 45.16/6.93 cnf(i_0_2901, plain, (esk467_3(X1,X2,X3)=X2|~epred2_3(X3,X2,X1))).
% 45.16/6.93 cnf(i_0_2725, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_2457, lemma, (complements_of_subsets(X1,empty_set)=empty_set|~element(empty_set,powerset(powerset(X1))))).
% 45.16/6.93 cnf(i_0_497, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)).
% 45.16/6.93 cnf(i_0_587, plain, (strict_rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 45.16/6.93 cnf(i_0_494, plain, (one_to_one(X1)|~relation_isomorphism(X2,X3,X1)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_2896, plain, (esk469_3(X1,X2,X3)=X3|~epred2_3(X3,X2,X1))).
% 45.16/6.93 cnf(i_0_1219, lemma, (function(esk198_1(X1))|in(esk195_1(X1),X1))).
% 45.16/6.93 cnf(i_0_159, plain, (empty_carrier(X1)|element(esk12_1(X1),the_carrier(X1))|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1))).
% 45.16/6.93 cnf(i_0_1084, plain, (empty_carrier(X1)|element(esk182_1(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 45.16/6.93 cnf(i_0_592, plain, (empty_carrier(X1)|element(join_of_latt_set(X1,X2),the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_593, plain, (empty_carrier(X1)|element(meet_of_latt_set(X1,X2),the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_1974, plain, (esk337_2(X1,X2)=X2|esk333_0=esk334_0|~in(X2,esk336_1(X1)))).
% 45.16/6.93 cnf(i_0_298, plain, (in(X1,powerset(X2))|~subset(X1,X2))).
% 45.16/6.93 cnf(i_0_299, plain, (subset(X1,X2)|~in(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_1966, plain, (esk337_2(X1,X2)=X2|esk333_0=esk335_0|~in(X2,esk336_1(X1)))).
% 45.16/6.93 cnf(i_0_639, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_2876, plain, (epred1_0|element(esk461_0,powerset(powerset(empty_set)))|esk466_1(X1)!=X1|~in(X1,esk465_0))).
% 45.16/6.93 cnf(i_0_515, plain, (relstr_set_smaller(X1,X2,esk102_2(X1,X2))|~ex_sup_of_relstr_set(X1,X2)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2459, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))).
% 45.16/6.93 cnf(i_0_2482, lemma, (compact_top_space(X1)|centered(esk420_1(X1))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_474, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2840, plain, (epred1_0|esk462_1(X1)!=X1|esk466_1(X2)!=X2|~in(X1,esk461_0)|~in(X2,esk465_0))).
% 45.16/6.93 cnf(i_0_2525, lemma, (element(esk425_2(X1,X2),the_carrier(X1))|~antisymmetric_relstr(X1)|~ex_inf_of_relstr_set(X1,X2)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2072, lemma, (ordinal(esk360_2(X1,X2))|~ordinal(X1)|~in(X2,esk359_1(X1)))).
% 45.16/6.93 cnf(i_0_2764, lemma, (X1=X2|proper_element(X1,powerset(X2))|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_713, plain, (finite(relation_image(X1,X2))|~relation(X1)|~function(X1)|~finite(X2))).
% 45.16/6.93 cnf(i_0_2592, lemma, (function(esk434_1(X1))|empty(X1)|in(esk433_1(X1),X1))).
% 45.16/6.93 cnf(i_0_2493, lemma, (subset(relation_image(X1,X2),relation_rng(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_940, lemma, (relation(esk143_2(X1,X2))|~equipotent(X1,relation_field(X2))|~well_ordering(X2)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2902, plain, (ordinal(esk467_3(X1,X2,X3))|~epred2_3(X3,X2,X1))).
% 45.16/6.93 cnf(i_0_2513, lemma, (subset(relation_inverse_image(X1,X2),relation_dom(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_1970, plain, (esk337_2(X1,X2)=X2|ordinal(esk334_0)|~in(X2,esk336_1(X1)))).
% 45.16/6.93 cnf(i_0_1962, plain, (esk337_2(X1,X2)=X2|ordinal(esk335_0)|~in(X2,esk336_1(X1)))).
% 45.16/6.93 cnf(i_0_2593, lemma, (relation(esk434_1(X1))|empty(X1)|in(esk433_1(X1),X1))).
% 45.16/6.93 cnf(i_0_2779, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))).
% 45.16/6.93 cnf(i_0_2897, plain, (ordinal(esk469_3(X1,X2,X3))|~epred2_3(X3,X2,X1))).
% 45.16/6.93 cnf(i_0_254, plain, (relation(X1)|esk40_1(X1)!=unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))).
% 45.16/6.93 cnf(i_0_42, plain, (quasi_total(X1,X2,X3)|~v1_partfun1(X1,X2,X3)|~relation_of2(X1,X2,X3)|~function(X1))).
% 45.16/6.93 cnf(i_0_446, plain, (X1=omega|~being_limit_ordinal(X1)|~subset(X1,esk92_1(X1))|~ordinal(X1)|~in(empty_set,X1))).
% 45.16/6.93 cnf(i_0_965, lemma, (element(X1,powerset(X2))|in(esk148_2(X1,X2),X1))).
% 45.16/6.93 cnf(i_0_1116, plain, (meet_of_subsets(X1,X2)=set_meet(X2)|~element(X2,powerset(powerset(X1))))).
% 45.16/6.93 cnf(i_0_2477, lemma, (in(powerset(X1),esk419_1(X2))|~in(X1,esk419_1(X2)))).
% 45.16/6.93 cnf(i_0_2861, plain, (epred1_0|in(esk462_1(X1),esk461_0)|esk465_0!=empty_set|~in(X1,esk461_0))).
% 45.16/6.93 cnf(i_0_2869, plain, (epred1_0|in(esk466_1(X1),esk465_0)|esk461_0!=empty_set|~in(X1,esk465_0))).
% 45.16/6.93 cnf(i_0_2755, lemma, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_943, lemma, (in(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_74, plain, (one_to_one(X1)|~bijective(X1,X2,X3)|~quasi_total(X1,X2,X3)|~relation_of2(X1,X2,X3)|~function(X1))).
% 45.16/6.93 cnf(i_0_2606, plain, (X1=X2|~in(esk435_2(X1,X2),X2)|~in(esk435_2(X1,X2),X1))).
% 45.16/6.93 cnf(i_0_2594, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))).
% 45.16/6.93 cnf(i_0_2852, plain, (epred1_0|subset(X1,esk462_1(X1))|esk465_0!=empty_set|~in(X1,esk461_0))).
% 45.16/6.93 cnf(i_0_2868, plain, (epred1_0|subset(X1,esk466_1(X1))|esk461_0!=empty_set|~in(X1,esk465_0))).
% 45.16/6.93 cnf(i_0_529, plain, (meet_absorbing(X1)|empty_carrier(X1)|element(esk109_1(X1),the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_528, plain, (meet_absorbing(X1)|empty_carrier(X1)|element(esk110_1(X1),the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2756, lemma, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_929, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_349, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_350, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_2577, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_orders(X1,X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2487, lemma, (finite(X1)|~one_sorted_str(X2)|~finite(complements_of_subsets(the_carrier(X2),X1))|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 45.16/6.93 cnf(i_0_2548, lemma, (subset(relation_field(relation_restriction(X1,X2)),X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2463, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2591, lemma, (relation_dom(esk434_1(X1))=X1|empty(X1)|in(esk433_1(X1),X1))).
% 45.16/6.93 cnf(i_0_746, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v1_membered(X2))).
% 45.16/6.93 cnf(i_0_437, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))).
% 45.16/6.93 cnf(i_0_341, plain, (well_founded_relation(X1)|~disjoint(fiber(X1,X2),esk62_1(X1))|~relation(X1)|~in(X2,esk62_1(X1)))).
% 45.16/6.93 cnf(i_0_2811, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(X1,relation_dom(relation_dom_restriction(X2,X3))))).
% 45.16/6.93 cnf(i_0_795, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X2))).
% 45.16/6.93 cnf(i_0_801, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))).
% 45.16/6.93 cnf(i_0_926, lemma, (reflexive(X1)|in(esk139_1(X1),relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_809, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 45.16/6.93 cnf(i_0_2538, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(X1,relation_field(relation_restriction(X2,X3))))).
% 45.16/6.93 cnf(i_0_2461, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(X1,relation_rng(relation_rng_restriction(X3,X2))))).
% 45.16/6.93 cnf(i_0_912, plain, (X1=X2|rel_str_of(X3,X1)!=rel_str_of(X4,X2)|~relation_of2(X1,X3,X3))).
% 45.16/6.93 cnf(i_0_913, plain, (X1=X2|rel_str_of(X1,X3)!=rel_str_of(X2,X4)|~relation_of2(X3,X1,X1))).
% 45.16/6.93 cnf(i_0_819, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 45.16/6.93 cnf(i_0_794, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X2))).
% 45.16/6.93 cnf(i_0_955, lemma, (connected(X1)|in(esk146_1(X1),relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_800, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))).
% 45.16/6.93 cnf(i_0_310, plain, (X1=empty_set|set_meet(X1)!=empty_set|~centered(X2)|~subset(X1,X2)|~finite(X1))).
% 45.16/6.93 cnf(i_0_1302, lemma, (in(esk209_1(X1),X1)|~ordinal(X2)|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_450, plain, (subset(omega,X1)|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 45.16/6.93 cnf(i_0_808, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 45.16/6.93 cnf(i_0_818, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 45.16/6.93 cnf(i_0_954, lemma, (connected(X1)|in(esk147_1(X1),relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_799, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))).
% 45.16/6.93 cnf(i_0_807, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 45.16/6.93 cnf(i_0_817, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 45.16/6.93 cnf(i_0_343, plain, (well_founded_relation(X1)|subset(esk62_1(X1),relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_806, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 45.16/6.93 cnf(i_0_2766, lemma, (empty_carrier(X1)|~is_a_cover_of_carrier(X1,empty_set)|~one_sorted_str(X1)|~element(empty_set,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_816, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 45.16/6.93 cnf(i_0_815, plain, (v5_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 45.16/6.93 cnf(i_0_1090, plain, (closed_subset(esk185_1(X1),X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_839, plain, (ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_1110, plain, (relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)|~relation_of2(X3,X1,X2))).
% 45.16/6.93 cnf(i_0_1112, plain, (relation_rng_as_subset(X1,X2,X3)=relation_rng(X3)|~relation_of2(X3,X1,X2))).
% 45.16/6.93 cnf(i_0_455, plain, (in(X1,the_topology(X2))|~open_subset(X1,X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 45.16/6.93 cnf(i_0_2754, lemma, (well_ordering(X1)|~relation_isomorphism(X2,X1,X3)|~well_ordering(X2)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 45.16/6.93 cnf(i_0_841, plain, (epsilon_transitive(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_840, plain, (epsilon_connected(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_703, plain, (finite(set_difference(X1,set_difference(X1,X2)))|~finite(X2))).
% 45.16/6.93 cnf(i_0_1224, lemma, (unordered_pair(esk195_1(X1),esk195_1(X1))=esk196_1(X1)|function(esk198_1(X1)))).
% 45.16/6.93 cnf(i_0_921, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_210, plain, (finite(relation_rng(X1))|~relation(X1)|~function(X1)|~in(relation_dom(X1),omega))).
% 45.16/6.93 cnf(i_0_454, plain, (open_subset(X1,X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X1,the_topology(X2)))).
% 45.16/6.93 cnf(i_0_2644, lemma, (in(X1,X2)|~ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_1225, lemma, (unordered_pair(esk195_1(X1),esk195_1(X1))=esk196_1(X1)|relation(esk198_1(X1)))).
% 45.16/6.93 cnf(i_0_654, plain, (element(union_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 45.16/6.93 cnf(i_0_660, plain, (element(meet_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 45.16/6.93 cnf(i_0_2506, lemma, (relstr_set_smaller(X1,X2,esk422_2(X1,X2))|~ex_sup_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_959, lemma, (X1=unordered_pair(X2,X2)|X1=empty_set|~subset(X1,unordered_pair(X2,X2)))).
% 45.16/6.93 cnf(i_0_1214, lemma, (unordered_pair(esk195_1(X1),esk195_1(X1))=esk197_1(X1)|function(esk198_1(X1)))).
% 45.16/6.93 cnf(i_0_1215, lemma, (unordered_pair(esk195_1(X1),esk195_1(X1))=esk197_1(X1)|relation(esk198_1(X1)))).
% 45.16/6.93 cnf(i_0_2262, lemma, (function(esk397_1(X1))|esk395_1(X1)!=esk394_1(X1))).
% 45.16/6.93 cnf(i_0_2263, lemma, (relation(esk397_1(X1))|esk395_1(X1)!=esk394_1(X1))).
% 45.16/6.93 cnf(i_0_2536, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X1))=relation_restriction(X2,X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_757, plain, (v1_binop_1(the_L_join(X1),the_carrier(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_commutative(X1))).
% 45.16/6.93 cnf(i_0_859, plain, (v1_binop_1(the_L_meet(X1),the_carrier(X1))|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_commutative(X1))).
% 45.16/6.93 cnf(i_0_829, plain, (v2_binop_1(the_L_join(X1),the_carrier(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_associative(X1))).
% 45.16/6.93 cnf(i_0_2729, lemma, (bottom_of_semilattstr(X1)=join_of_latt_set(X1,empty_set)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2532, lemma, (relation_dom_restriction(relation_rng_restriction(X1,X2),X1)=relation_restriction(X2,X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_723, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 45.16/6.93 cnf(i_0_2666, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X2,X3)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_2820, lemma, (subset(set_union2(X1,X2),X3)|~subset(X2,X3)|~subset(X1,X3))).
% 45.16/6.93 cnf(i_0_878, plain, (v2_binop_1(the_L_meet(X1),the_carrier(X1))|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_associative(X1))).
% 45.16/6.93 cnf(i_0_2737, lemma, (topstr_closure(X1,X2)=X2|~closed_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_2720, lemma, (subset(X1,topstr_closure(X2,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 45.16/6.93 cnf(i_0_2699, lemma, (subset(interior(X1,X2),X2)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_2866, plain, (epred1_0|ordinal(esk463_0)|in(esk462_1(X1),esk461_0)|~in(X1,esk461_0))).
% 45.16/6.93 cnf(i_0_2499, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(relation_rng(X1),X3))).
% 45.16/6.93 cnf(i_0_221, plain, (quasi_total(X1,empty_set,X2)|relation_dom_as_subset(empty_set,X2,X1)!=empty_set|~relation_of2_as_subset(X1,empty_set,X2))).
% 45.16/6.93 cnf(i_0_1330, lemma, (relation(esk215_3(X1,X2,X3))|~relation(X3)|~relation(X2)|~function(X3))).
% 45.16/6.93 cnf(i_0_2555, lemma, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1))).
% 45.16/6.93 cnf(i_0_1092, plain, (empty_carrier(X1)|element(esk185_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_2857, plain, (epred1_0|subset(X1,esk462_1(X1))|ordinal(esk463_0)|~in(X1,esk461_0))).
% 45.16/6.93 cnf(i_0_923, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))).
% 45.16/6.93 cnf(i_0_363, plain, (compact_top_space(X1)|element(esk70_1(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1))).
% 45.16/6.93 cnf(i_0_111, plain, (ordinal_subset(X1,X2)|ordinal_subset(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_932, lemma, (subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))|~relation(X2))).
% 45.16/6.93 cnf(i_0_2514, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(X4,X3))).
% 45.16/6.93 cnf(i_0_2736, lemma, (closed_subset(X1,X2)|topstr_closure(X2,X1)!=X1|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 45.16/6.93 cnf(i_0_2113, lemma, (esk383_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk382_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_94, plain, (one_to_one(X1)|~reflexive(X1)|~v1_partfun1(X1,X2,X2)|~relation_of2(X1,X2,X2)|~function(X1))).
% 45.16/6.93 cnf(i_0_2549, lemma, (subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_449, plain, (X1=omega|ordinal(esk92_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 45.16/6.93 cnf(i_0_447, plain, (X1=omega|being_limit_ordinal(esk92_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 45.16/6.93 cnf(i_0_1959, plain, (in(esk337_2(X1,X2),X1)|esk335_0!=esk334_0|~in(X2,esk336_1(X1)))).
% 45.16/6.93 cnf(i_0_658, plain, (element(topstr_closure(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_2481, lemma, (compact_top_space(X1)|closed_subsets(esk420_1(X1),X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_2826, lemma, (subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_1579, plain, (esk261_2(X1,X2)=X2|esk257_1(X1)!=esk258_1(X1)|~ordinal(X1)|~in(X2,esk259_1(X1)))).
% 45.16/6.93 cnf(i_0_1581, plain, (esk260_2(X1,X2)=X2|esk257_1(X1)!=esk258_1(X1)|~ordinal(X1)|~in(X2,esk259_1(X1)))).
% 45.16/6.93 cnf(i_0_102, plain, (empty(X1)|empty(X2)|~quasi_total(X3,X1,X2)|~relation_of2(X3,X1,X2)|~empty(X3))).
% 45.16/6.93 cnf(i_0_2465, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))|~relation(X2))).
% 45.16/6.93 cnf(i_0_608, plain, (element(interior(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_2642, lemma, (X1=empty_set|ordinal(esk441_2(X1,X2))|~subset(X1,X2)|~ordinal(X2))).
% 45.16/6.93 cnf(i_0_498, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))).
% 45.16/6.93 cnf(i_0_585, plain, (relstr_set_smaller(X1,X2,join_on_relstr(X1,X2))|~ex_sup_of_relstr_set(X1,X2)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_411, plain, (is_antisymmetric_in(X1,X2)|in(esk82_2(X1,X2),X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_1140, lemma, (function(esk192_2(X1,X2))|empty(X1)|esk189_2(X1,X2)!=esk188_2(X1,X2)|~relation(X2))).
% 45.16/6.93 cnf(i_0_1141, lemma, (relation(esk192_2(X1,X2))|empty(X1)|esk189_2(X1,X2)!=esk188_2(X1,X2)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2835, plain, (in(X1,esk460_2(X2,X3))|~subset(X1,X3)|~in(X3,esk459_1(X2)))).
% 45.16/6.93 cnf(i_0_297, plain, (X1=powerset(X2)|~subset(esk51_2(X2,X1),X2)|~in(esk51_2(X2,X1),X1))).
% 45.16/6.93 cnf(i_0_410, plain, (is_antisymmetric_in(X1,X2)|in(esk83_2(X1,X2),X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_573, plain, (relstr_set_smaller(X1,X2,X3)|~related(X1,esk123_3(X1,X2,X3),X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_532, plain, (union_of_subsets(the_carrier(X1),X2)=cast_as_carrier_subset(X1)|~is_a_cover_of_carrier(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_531, plain, (is_a_cover_of_carrier(X1,X2)|union_of_subsets(the_carrier(X1),X2)!=cast_as_carrier_subset(X1)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2597, lemma, (closed_subset(X1,X2)|~open_subset(subset_complement(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 45.16/6.93 cnf(i_0_479, plain, (is_connected_in(X1,X2)|in(esk96_2(X1,X2),X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_277, plain, (open_subsets(X1,X2)|~open_subset(esk46_2(X2,X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 45.16/6.93 cnf(i_0_337, plain, (closed_subsets(X1,X2)|~closed_subset(esk60_2(X2,X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 45.16/6.93 cnf(i_0_2114, lemma, (ordinal(esk383_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk382_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_478, plain, (is_connected_in(X1,X2)|in(esk97_2(X1,X2),X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2836, plain, (in(esk460_2(X1,X2),esk459_1(X1))|~in(X2,esk459_1(X1)))).
% 45.16/6.93 cnf(i_0_368, plain, (cast_to_el_of_LattPOSet(X1,X2)=X2|empty_carrier(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2486, lemma, (finite(complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~finite(X2)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_749, plain, (natural(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~natural(X1))).
% 45.16/6.93 cnf(i_0_544, plain, (is_transitive_in(X1,X2)|in(esk115_2(X1,X2),X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_330, plain, (X1=unordered_pair(X2,X3)|esk59_3(X2,X3,X1)!=X3|~in(esk59_3(X2,X3,X1),X1))).
% 45.16/6.93 cnf(i_0_331, plain, (X1=unordered_pair(X2,X3)|esk59_3(X2,X3,X1)!=X2|~in(esk59_3(X2,X3,X1),X1))).
% 45.16/6.93 cnf(i_0_1580, plain, (ordinal(esk261_2(X1,X2))|esk257_1(X1)!=esk258_1(X1)|~ordinal(X1)|~in(X2,esk259_1(X1)))).
% 45.16/6.93 cnf(i_0_570, plain, (relstr_element_smaller(X1,X2,esk119_2(X1,X2))|~ex_inf_of_relstr_set(X1,X2)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_543, plain, (is_transitive_in(X1,X2)|in(esk116_2(X1,X2),X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_740, plain, (relation(set_difference(X1,set_difference(X1,X2)))|~relation(X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_542, plain, (is_transitive_in(X1,X2)|in(esk117_2(X1,X2),X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2060, lemma, (in(esk357_3(X1,X2,X3),X1)|~in(X3,esk356_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2686, lemma, (being_limit_ordinal(X1)|~ordinal(X1)|~in(set_union2(esk445_1(X1),unordered_pair(esk445_1(X1),esk445_1(X1))),X1))).
% 45.16/6.93 cnf(i_0_2738, lemma, (epred3_2(X1,X2)|~relation_isomorphism(X2,X1,X3)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 45.16/6.93 cnf(i_0_962, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))).
% 45.16/6.93 cnf(i_0_258, plain, (is_reflexive_in(X1,X2)|in(esk41_2(X1,X2),X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2261, lemma, (relation_dom(esk397_1(X1))=X1|esk395_1(X1)!=esk394_1(X1))).
% 45.16/6.93 cnf(i_0_645, plain, (element(relation_dom_as_subset(X1,X2,X3),powerset(X1))|~relation_of2(X3,X1,X2))).
% 45.16/6.93 cnf(i_0_653, plain, (element(relation_rng_as_subset(X1,X2,X3),powerset(X2))|~relation_of2(X3,X1,X2))).
% 45.16/6.93 cnf(i_0_521, plain, (one_to_one(X1)|in(esk106_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_386, plain, (is_well_founded_in(X1,X2)|subset(esk77_2(X1,X2),X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_963, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))).
% 45.16/6.93 cnf(i_0_2438, lemma, (apply(esk415_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_1975, plain, (esk333_0=esk334_0|in(esk337_2(X1,X2),X1)|~in(X2,esk336_1(X1)))).
% 45.16/6.93 cnf(i_0_1967, plain, (esk333_0=esk335_0|in(esk337_2(X1,X2),X1)|~in(X2,esk336_1(X1)))).
% 45.16/6.93 cnf(i_0_666, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))).
% 45.16/6.93 cnf(i_0_417, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_2872, plain, (epred1_0|in(set_union2(esk463_0,unordered_pair(esk463_0,esk463_0)),omega)|esk461_0!=empty_set)).
% 45.16/6.93 cnf(i_0_220, plain, (X1=empty_set|X2=empty_set|~relation_of2_as_subset(X2,X1,empty_set)|~quasi_total(X2,X1,empty_set))).
% 45.16/6.93 cnf(i_0_393, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))).
% 45.16/6.93 cnf(i_0_2501, lemma, (subset_intersection2(the_carrier(X1),X2,cast_as_carrier_subset(X1))=X2|~one_sorted_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_770, plain, (v1_partfun1(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~reflexive_relstr(X1)|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_520, plain, (one_to_one(X1)|in(esk107_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_2075, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk364_2(X3,X1)))).
% 45.16/6.93 cnf(i_0_2478, lemma, (in(X1,esk419_1(X2))|~subset(X1,X3)|~in(X3,esk419_1(X2)))).
% 45.16/6.93 cnf(i_0_2837, plain, (in(X1,esk459_1(X2))|~subset(X1,X3)|~in(X3,esk459_1(X2)))).
% 45.16/6.93 cnf(i_0_1521, plain, (esk253_3(X1,X2,X3)=X3|esk247_1(X1)!=esk246_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2467, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))).
% 45.16/6.93 cnf(i_0_919, plain, (subset_union2(X1,X2,X2)=X2|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_920, plain, (subset_intersection2(X1,X2,X2)=X2|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_1971, plain, (ordinal(esk334_0)|in(esk337_2(X1,X2),X1)|~in(X2,esk336_1(X1)))).
% 45.16/6.93 cnf(i_0_2570, lemma, (X1=X2|in(X1,X2)|in(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_2466, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))).
% 45.16/6.93 cnf(i_0_2574, lemma, (subset(relation_dom(X1),relation_dom(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2573, lemma, (subset(relation_rng(X1),relation_rng(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_939, lemma, (well_orders(esk143_2(X1,X2),X1)|~equipotent(X1,relation_field(X2))|~well_ordering(X2)|~relation(X2))).
% 45.16/6.93 cnf(i_0_496, plain, (relation_field(X1)=relation_dom(X2)|~relation_isomorphism(X1,X3,X2)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X2))).
% 45.16/6.93 cnf(i_0_2646, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))).
% 45.16/6.93 cnf(i_0_1963, plain, (ordinal(esk335_0)|in(esk337_2(X1,X2),X1)|~in(X2,esk336_1(X1)))).
% 45.16/6.93 cnf(i_0_691, plain, (quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))).
% 45.16/6.93 cnf(i_0_685, plain, (quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))).
% 45.16/6.93 cnf(i_0_690, plain, (relation_of2_as_subset(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))).
% 45.16/6.93 cnf(i_0_312, plain, (rel_str_of(the_carrier(X1),k2_lattice3(X1))=poset_of_lattice(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2508, lemma, (relation_rng(relation_composition(X1,X2))=relation_image(X2,relation_rng(X1))|~relation(X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_495, plain, (relation_rng(X1)=relation_field(X2)|~relation_isomorphism(X3,X2,X1)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_384, plain, (is_well_founded_in(X1,X2)|~disjoint(fiber(X1,X3),esk77_2(X1,X2))|~relation(X1)|~in(X3,esk77_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_523, plain, (relstr_element_smaller(X1,X2,X3)|~related(X1,X3,esk108_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2488, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X3))=relation_dom_restriction(relation_rng_restriction(X1,X2),X3)|~relation(X2))).
% 45.16/6.93 cnf(i_0_684, plain, (relation_of2_as_subset(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))).
% 45.16/6.93 cnf(i_0_2530, lemma, (open_subsets(X1,X2)|~closed_subsets(complements_of_subsets(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 45.16/6.93 cnf(i_0_2515, lemma, (closed_subsets(X1,X2)|~open_subsets(complements_of_subsets(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 45.16/6.93 cnf(i_0_2669, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_ordering(X1)|~subset(X2,relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_267, plain, (X1=empty_set|in(X2,set_meet(X1))|~in(X2,esk42_3(X1,set_meet(X1),X2)))).
% 45.16/6.93 cnf(i_0_223, plain, (X1=empty_set|quasi_total(X2,X3,X1)|relation_dom_as_subset(X3,X1,X2)!=X3|~relation_of2_as_subset(X2,X3,X1))).
% 45.16/6.93 cnf(i_0_76, plain, (lattice(X1)|empty_carrier(X1)|~join_absorbing(X1)|~meet_absorbing(X1)|~meet_associative(X1)|~meet_commutative(X1)|~join_associative(X1)|~join_commutative(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_462, plain, (well_orders(X1,X2)|~is_well_founded_in(X1,X2)|~is_reflexive_in(X1,X2)|~is_transitive_in(X1,X2)|~is_connected_in(X1,X2)|~is_antisymmetric_in(X1,X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_219, plain, (X1=empty_set|quasi_total(empty_set,X1,empty_set)|~relation_of2_as_subset(empty_set,X1,empty_set))).
% 45.16/6.93 cnf(i_0_2603, lemma, (subset(X1,X2)|~below(boole_lattice(X3),X1,X2)|~element(X2,powerset(X3))|~element(X1,powerset(X3)))).
% 45.16/6.93 cnf(i_0_399, plain, (cast_to_el_of_lattice(X1,X2)=X2|empty_carrier(X1)|~lattice(X1)|~element(X2,the_carrier(poset_of_lattice(X1)))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_891, plain, (open_subset(interior(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_2480, lemma, (meet_of_subsets(the_carrier(X1),esk420_1(X1))=empty_set|compact_top_space(X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_305, plain, (join_of_latt_set(X1,a_2_2_lattice3(X1,X2))=meet_of_latt_set(X1,X2)|empty_carrier(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_360, plain, (compact_top_space(X1)|~is_a_cover_of_carrier(X1,X2)|~top_str(X1)|~subset(X2,esk70_1(X1))|~finite(X2)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2547, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 45.16/6.93 cnf(i_0_2476, lemma, (are_equipotent(X1,esk419_1(X2))|in(X1,esk419_1(X2))|~subset(X1,esk419_1(X2)))).
% 45.16/6.93 cnf(i_0_792, plain, (closed_subset(topstr_closure(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_2524, lemma, (relstr_element_smaller(X1,X2,esk425_2(X1,X2))|~antisymmetric_relstr(X1)|~ex_inf_of_relstr_set(X1,X2)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_618, plain, (empty_carrier(X1)|v1_partfun1(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_617, plain, (relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_419, plain, (in(X1,esk84_3(X2,union(X2),X1))|~in(X1,union(X2)))).
% 45.16/6.93 cnf(i_0_2834, plain, (are_equipotent(X1,esk459_1(X2))|in(X1,esk459_1(X2))|~subset(X1,esk459_1(X2)))).
% 45.16/6.93 cnf(i_0_2611, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 45.16/6.93 cnf(i_0_2612, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 45.16/6.93 cnf(i_0_2546, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 45.16/6.93 cnf(i_0_273, plain, (X1=unordered_pair(X2,X2)|esk45_2(X2,X1)!=X2|~in(esk45_2(X2,X1),X1))).
% 45.16/6.93 cnf(i_0_418, plain, (in(esk84_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
% 45.16/6.93 cnf(i_0_448, plain, (X1=omega|in(empty_set,esk92_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 45.16/6.93 cnf(i_0_2, plain, (latt_str_of(the_carrier(X1),the_L_join(X1),the_L_meet(X1))=X1|~strict_latt_str(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_667, plain, (empty_carrier(X1)|empty_carrier(X2)|latt_str(k8_filter_1(X1,X2))|~latt_str(X2)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_668, plain, (empty_carrier(X1)|empty_carrier(X2)|strict_latt_str(k8_filter_1(X1,X2))|~latt_str(X2)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_334, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X3,X2)))).
% 45.16/6.93 cnf(i_0_2518, lemma, (in(X1,cartesian_product2(X2,X2))|~relation(X3)|~in(X1,relation_restriction(X3,X2)))).
% 45.16/6.93 cnf(i_0_2693, lemma, (disjoint(X1,X2)|~subset(X1,subset_complement(X3,X2))|~element(X2,powerset(X3))|~element(X1,powerset(X3)))).
% 45.16/6.93 cnf(i_0_1236, lemma, (function(esk202_2(X1,X2))|esk200_2(X1,X2)!=esk201_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_1271, lemma, (function(esk207_2(X1,X2))|esk205_2(X1,X2)!=esk206_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2641, lemma, (X1=empty_set|in(esk441_2(X1,X2),X1)|~subset(X1,X2)|~ordinal(X2))).
% 45.16/6.93 cnf(i_0_2286, lemma, (function(esk397_1(X1))|in(esk393_1(X1),X1))).
% 45.16/6.93 cnf(i_0_2287, lemma, (relation(esk397_1(X1))|in(esk393_1(X1),X1))).
% 45.16/6.93 cnf(i_0_1237, lemma, (relation(esk202_2(X1,X2))|esk200_2(X1,X2)!=esk201_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_1272, lemma, (relation(esk207_2(X1,X2))|esk205_2(X1,X2)!=esk206_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2112, lemma, (in(esk383_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk382_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2490, lemma, (in(esk421_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 45.16/6.93 cnf(i_0_2698, lemma, (subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1))|~relation(X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_1111, plain, (subset_union2(X1,X2,X3)=set_union2(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_1117, plain, (subset_difference(X1,X2,X3)=set_difference(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_2572, lemma, (X1=X2|~antisymmetric_relstr(X3)|~related(X3,X2,X1)|~related(X3,X1,X2)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3))|~rel_str(X3))).
% 45.16/6.93 cnf(i_0_2613, lemma, (open_subset(X1,X2)|~closed_subset(subset_complement(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 45.16/6.93 cnf(i_0_395, plain, (apply(X1,X2)=empty_set|in(X2,relation_dom(X1))|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_2510, lemma, (in(esk424_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 45.16/6.93 cnf(i_0_72, plain, (onto(X1,X2,X3)|~bijective(X1,X2,X3)|~quasi_total(X1,X2,X3)|~relation_of2(X1,X2,X3)|~function(X1))).
% 45.16/6.93 cnf(i_0_222, plain, (relation_dom_as_subset(empty_set,X1,X2)=empty_set|~relation_of2_as_subset(X2,empty_set,X1)|~quasi_total(X2,empty_set,X1))).
% 45.16/6.93 cnf(i_0_2705, lemma, (subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))|~relation(X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2598, lemma, (open_subset(subset_complement(the_carrier(X1),X2),X1)|~closed_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_2494, lemma, (subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_575, plain, (relstr_set_smaller(X1,X2,X3)|element(esk123_3(X1,X2,X3),the_carrier(X1))|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2878, plain, (epred1_0|element(esk461_0,powerset(powerset(empty_set)))|in(esk466_1(X1),esk465_0)|~in(X1,esk465_0))).
% 45.16/6.93 cnf(i_0_481, plain, (set_difference(X1,set_difference(X1,cartesian_product2(X2,X2)))=relation_restriction(X1,X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_1504, plain, (in(esk244_2(X1,X2),X1)|esk242_1(X1)!=esk241_1(X1)|~in(X2,esk243_1(X1)))).
% 45.16/6.93 cnf(i_0_84, plain, (bijective(X1,X2,X3)|~onto(X1,X2,X3)|~one_to_one(X1)|~quasi_total(X1,X2,X3)|~relation_of2(X1,X2,X3)|~function(X1))).
% 45.16/6.93 cnf(i_0_1956, plain, (in(X1,esk336_1(X2))|esk335_0!=esk334_0|~ordinal(X1)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_2877, plain, (epred1_0|subset(X1,esk466_1(X1))|element(esk461_0,powerset(powerset(empty_set)))|~in(X1,esk465_0))).
% 45.16/6.93 cnf(i_0_649, plain, (empty_carrier(X1)|element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))|~lattice(X1)|~element(X2,the_carrier(poset_of_lattice(X1)))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_156, plain, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|element(esk13_2(X1,X2),the_carrier(X1))|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_646, plain, (element(subset_union2(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_655, plain, (element(subset_intersection2(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_2871, plain, (epred1_0|element(esk465_0,powerset(powerset(set_union2(esk463_0,unordered_pair(esk463_0,esk463_0)))))|esk461_0!=empty_set)).
% 45.16/6.93 cnf(i_0_1301, lemma, (ordinal_subset(esk209_1(X1),X2)|~ordinal(X3)|~ordinal(X2)|~in(X3,X1)|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_416, plain, (X1=union(X2)|~in(esk85_2(X2,X1),X3)|~in(esk85_2(X2,X1),X1)|~in(X3,X2))).
% 45.16/6.93 cnf(i_0_98, plain, (v1_partfun1(X1,X2,X3)|empty(X3)|~quasi_total(X1,X2,X3)|~relation_of2(X1,X2,X3)|~function(X1))).
% 45.16/6.93 cnf(i_0_2057, lemma, (empty(X1)|in(X2,cartesian_product2(X1,X3))|~relation(X4)|~in(X2,esk351_3(X1,X4,X3)))).
% 45.16/6.93 cnf(i_0_661, plain, (element(subset_difference(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_2502, lemma, (ex_sup_of_relstr_set(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~related(X1,X3,esk423_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_514, plain, (related(X1,esk102_2(X1,X2),X3)|~relstr_set_smaller(X1,X2,X3)|~ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_680, plain, (empty_carrier(X1)|element(X2,powerset(the_carrier(X1)))|~point_neighbourhood(X2,X1,X3)|~topological_space(X1)|~top_str(X1)|~element(X3,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_290, plain, (inclusion_relation(relation_field(X1))=X1|in(esk48_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_1208, lemma, (in(X1,X2)|esk197_1(X2)!=esk196_1(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk198_1(X2)))).
% 45.16/6.93 cnf(i_0_906, plain, (esk137_3(X1,X2,X3)=X1|empty_carrier(X2)|~in(X1,a_2_2_lattice3(X2,X3))|~latt_str(X2))).
% 45.16/6.93 cnf(i_0_2556, lemma, (subset(fiber(relation_restriction(X1,X2),X3),fiber(X1,X3))|~relation(X1))).
% 45.16/6.93 cnf(i_0_2285, lemma, (relation_dom(esk397_1(X1))=X1|in(esk393_1(X1),X1))).
% 45.16/6.93 cnf(i_0_2535, lemma, (X1=empty_set|in(esk427_2(X2,X1),X1)|~finite(X2)|~element(X1,powerset(powerset(X2))))).
% 45.16/6.93 cnf(i_0_289, plain, (inclusion_relation(relation_field(X1))=X1|in(esk49_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_1196, lemma, (esk190_2(X1,X2)=esk187_2(X1,X2)|function(esk192_2(X1,X2))|empty(X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_472, plain, (closed_subset(X1,X2)|~open_subset(subset_difference(the_carrier(X2),cast_as_carrier_subset(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 45.16/6.93 cnf(i_0_1197, lemma, (esk190_2(X1,X2)=esk187_2(X1,X2)|relation(esk192_2(X1,X2))|empty(X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_232, plain, (X1=X2|esk33_2(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1)!=X1)).
% 45.16/6.93 cnf(i_0_314, plain, (X1=X2|esk55_2(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),X1)!=X1)).
% 45.16/6.93 cnf(i_0_116, plain, (X1=X2|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),identity_relation(X3)))).
% 45.16/6.93 cnf(i_0_2600, lemma, (join_on_relstr(poset_of_lattice(X1),X2)=join_of_latt_set(X1,X2)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2649, lemma, (identity_relation(relation_dom(X1))=X1|apply(X1,esk442_2(relation_dom(X1),X1))!=esk442_2(relation_dom(X1),X1)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_1164, lemma, (esk191_2(X1,X2)=esk187_2(X1,X2)|function(esk192_2(X1,X2))|empty(X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2552, lemma, (in(X1,relation_dom(X2))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(X1,relation_dom(relation_composition(X2,X3))))).
% 45.16/6.93 cnf(i_0_203, plain, (X1=unordered_triple(X2,X3,X4)|esk26_4(X2,X3,X4,X1)!=X4|~in(esk26_4(X2,X3,X4,X1),X1))).
% 45.16/6.93 cnf(i_0_204, plain, (X1=unordered_triple(X2,X3,X4)|esk26_4(X2,X3,X4,X1)!=X3|~in(esk26_4(X2,X3,X4,X1),X1))).
% 45.16/6.93 cnf(i_0_205, plain, (X1=unordered_triple(X2,X3,X4)|esk26_4(X2,X3,X4,X1)!=X2|~in(esk26_4(X2,X3,X4,X1),X1))).
% 45.16/6.93 cnf(i_0_1165, lemma, (esk191_2(X1,X2)=esk187_2(X1,X2)|relation(esk192_2(X1,X2))|empty(X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2858, plain, (epred1_0|in(esk462_1(X1),esk461_0)|esk466_1(X2)!=X2|~in(X1,esk461_0)|~in(X2,esk465_0))).
% 45.16/6.93 cnf(i_0_2842, plain, (epred1_0|in(esk466_1(X1),esk465_0)|esk462_1(X2)!=X2|~in(X2,esk461_0)|~in(X1,esk465_0))).
% 45.16/6.93 cnf(i_0_2849, plain, (epred1_0|subset(X1,esk462_1(X1))|esk466_1(X2)!=X2|~in(X1,esk461_0)|~in(X2,esk465_0))).
% 45.16/6.93 cnf(i_0_2841, plain, (epred1_0|subset(X1,esk466_1(X1))|esk462_1(X2)!=X2|~in(X2,esk461_0)|~in(X1,esk465_0))).
% 45.16/6.93 cnf(i_0_426, plain, (equipotent(relation_dom(X1),relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_2527, lemma, (subset(relation_inverse_image(X1,X2),relation_inverse_image(X1,X3))|~subset(X2,X3)|~relation(X1))).
% 45.16/6.93 cnf(i_0_347, plain, (X1=set_union2(X2,X3)|~in(esk63_3(X2,X3,X1),X1)|~in(esk63_3(X2,X3,X1),X3))).
% 45.16/6.93 cnf(i_0_348, plain, (X1=set_union2(X2,X3)|~in(esk63_3(X2,X3,X1),X1)|~in(esk63_3(X2,X3,X1),X2))).
% 45.16/6.93 cnf(i_0_1510, plain, (in(esk244_2(X1,X2),X1)|in(esk240_1(X1),X1)|~in(X2,esk243_1(X1)))).
% 45.16/6.93 cnf(i_0_903, plain, (empty_carrier(X1)|element(esk135_2(X2,X1),the_carrier(X1))|~lattice(X1)|~in(X2,a_1_0_filter_1(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_902, plain, (empty_carrier(X1)|element(esk136_2(X2,X1),the_carrier(X1))|~lattice(X1)|~in(X2,a_1_0_filter_1(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2498, lemma, (relation_image(X1,relation_inverse_image(X1,X2))=X2|~subset(X2,relation_rng(X1))|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_2602, lemma, (below(boole_lattice(X1),X2,X3)|~subset(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_1972, plain, (esk333_0=esk334_0|in(X1,esk336_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_2000, plain, (esk349_3(X1,X2,X3)=X3|esk345_2(X1,X2)!=esk344_2(X1,X2)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2816, lemma, (X1=apply(X2,X3)|~relation(X2)|~function(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 45.16/6.93 cnf(i_0_2798, lemma, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(identity_relation(X2),X3)))).
% 45.16/6.93 cnf(i_0_91, plain, (bijective(X1,X2,X2)|~reflexive(X1)|~v1_partfun1(X1,X2,X2)|~relation_of2(X1,X2,X2)|~function(X1))).
% 45.16/6.93 cnf(i_0_2516, lemma, (open_subsets(complements_of_subsets(the_carrier(X1),X2),X1)|~closed_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2531, lemma, (closed_subsets(complements_of_subsets(the_carrier(X1),X2),X1)|~open_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_1133, plain, (related_reflexive(X1,X2,X2)|empty_carrier(X1)|~reflexive_relstr(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2715, lemma, (relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~subset(relation_rng(X1),relation_dom(X2))|~relation(X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_1964, plain, (esk333_0=esk335_0|in(X1,esk336_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_92, plain, (onto(X1,X2,X2)|~reflexive(X1)|~v1_partfun1(X1,X2,X2)|~relation_of2(X1,X2,X2)|~function(X1))).
% 45.16/6.93 cnf(i_0_2647, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)))).
% 45.16/6.93 cnf(i_0_2648, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))).
% 45.16/6.93 cnf(i_0_2822, lemma, (set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2))=relation_dom(relation_dom_restriction(X1,X2))|~relation(X1))).
% 45.16/6.93 cnf(i_0_2718, lemma, (relation_rng(relation_composition(X1,X2))=relation_rng(X2)|~subset(relation_dom(X2),relation_rng(X1))|~relation(X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2079, lemma, (in(X1,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~in(X1,esk364_2(X2,X3)))).
% 45.16/6.93 cnf(i_0_642, plain, (empty_carrier(X1)|element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1)))|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_525, plain, (relstr_element_smaller(X1,X2,X3)|element(esk108_3(X1,X2,X3),the_carrier(X1))|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_125, plain, (relstr_element_smaller(X1,X2,meet_on_relstr(X1,X2))|~ex_inf_of_relstr_set(X1,X2)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2468, lemma, (set_difference(relation_rng(X1),set_difference(relation_rng(X1),X2))=relation_rng(relation_rng_restriction(X2,X1))|~relation(X1))).
% 45.16/6.93 cnf(i_0_2469, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))).
% 45.16/6.93 cnf(i_0_2539, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))).
% 45.16/6.93 cnf(i_0_2723, lemma, (relation_isomorphism(X1,X2,function_inverse(X3))|~relation_isomorphism(X2,X1,X3)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 45.16/6.93 cnf(i_0_1999, plain, (ordinal(esk350_3(X1,X2,X3))|esk345_2(X1,X2)!=esk344_2(X1,X2)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_519, plain, (apply(X1,esk107_1(X1))=apply(X1,esk106_1(X1))|one_to_one(X1)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_2529, lemma, (subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2)=subset_complement(the_carrier(X1),X2)|~one_sorted_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_2447, lemma, (element(esk416_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_2714, lemma, (element(esk449_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_622, plain, (empty_carrier(X1)|element(meet(X1,X2,X3),the_carrier(X1))|~meet_semilatt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_1968, plain, (ordinal(esk334_0)|in(X1,esk336_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_392, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X3)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_224, plain, (relation_dom_as_subset(X1,X2,X3)=X1|X2=empty_set|~relation_of2_as_subset(X3,X1,X2)|~quasi_total(X3,X1,X2))).
% 45.16/6.93 cnf(i_0_1172, lemma, (function(esk192_2(X1,X2))|empty(X1)|in(esk187_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_600, plain, (empty_carrier(X1)|element(join(X1,X2,X3),the_carrier(X1))|~join_semilatt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_2614, lemma, (closed_subset(subset_complement(the_carrier(X1),X2),X1)|~open_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_2505, lemma, (related(X1,esk422_2(X1,X2),X3)|~relstr_set_smaller(X1,X2,X3)|~ex_sup_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_1128, plain, (related(X1,X2,X3)|empty_carrier(X1)|~related_reflexive(X1,X2,X3)|~reflexive_relstr(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_359, plain, (in(esk64_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1960, plain, (ordinal(esk335_0)|in(X1,esk336_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_2073, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk359_1(X2)))).
% 45.16/6.93 cnf(i_0_1173, lemma, (relation(esk192_2(X1,X2))|empty(X1)|in(esk187_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_574, plain, (relstr_set_smaller(X1,X2,X3)|in(esk123_3(X1,X2,X3),X2)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2496, lemma, (subset(X1,relation_inverse_image(X2,relation_image(X2,X1)))|~subset(X1,relation_dom(X2))|~relation(X2))).
% 45.16/6.93 cnf(i_0_907, plain, (empty_carrier(X1)|element(esk137_3(X2,X1,X3),the_carrier(X1))|~in(X2,a_2_2_lattice3(X1,X3))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_358, plain, (in(esk65_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2517, lemma, (in(X1,relation_restriction(X2,X3))|~relation(X2)|~in(X1,cartesian_product2(X3,X3))|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_2100, lemma, (in(X1,cartesian_product2(X2,X3))|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))|~in(X1,esk373_3(X4,X2,X3)))).
% 45.16/6.93 cnf(i_0_933, lemma, (transitive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk140_1(X1),esk140_1(X1)),unordered_pair(esk140_1(X1),esk142_1(X1))),X1))).
% 45.16/6.93 cnf(i_0_925, lemma, (reflexive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk139_1(X1),esk139_1(X1)),unordered_pair(esk139_1(X1),esk139_1(X1))),X1))).
% 45.16/6.93 cnf(i_0_576, plain, (related(X1,X2,X3)|~relstr_set_smaller(X1,X4,X3)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~in(X2,X4)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2483, lemma, (compact_top_space(X1)|empty_carrier(X1)|element(esk420_1(X1),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1))).
% 45.16/6.93 cnf(i_0_569, plain, (related(X1,X2,esk119_2(X1,X3))|~relstr_element_smaller(X1,X3,X2)|~ex_inf_of_relstr_set(X1,X3)|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2082, lemma, (in(X1,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,esk366_2(X2,X3)))).
% 45.16/6.93 cnf(i_0_952, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk146_1(X1),esk146_1(X1)),unordered_pair(esk146_1(X1),esk147_1(X1))),X1))).
% 45.16/6.93 cnf(i_0_951, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk146_1(X1),esk147_1(X1)),unordered_pair(esk147_1(X1),esk147_1(X1))),X1))).
% 45.16/6.93 cnf(i_0_154, plain, (in(X1,relation_dom(X2))|~relation(X2)|~function(X2)|~in(X1,relation_inverse_image(X2,X3)))).
% 45.16/6.93 cnf(i_0_2542, lemma, (join(boole_lattice(X1),X2,X3)=set_union2(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_2694, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))).
% 45.16/6.93 cnf(i_0_278, plain, (open_subsets(X1,X2)|in(esk46_2(X2,X1),X1)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 45.16/6.93 cnf(i_0_338, plain, (closed_subsets(X1,X2)|in(esk60_2(X2,X1),X1)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 45.16/6.93 cnf(i_0_2599, lemma, (meet_on_relstr(poset_of_lattice(X1),X2)=meet_of_latt_set(X1,X2)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2792, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,relation_dom(relation_dom_restriction(X1,X2))))).
% 45.16/6.93 cnf(i_0_2810, lemma, (in(X1,relation_dom(relation_dom_restriction(X2,X3)))|~relation(X2)|~in(X1,relation_dom(X2))|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_2460, lemma, (in(X1,relation_rng(relation_rng_restriction(X2,X3)))|~relation(X3)|~in(X1,relation_rng(X3))|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_185, plain, (latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|~below(X1,X2,esk23_3(X1,X2,X3))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2450, lemma, (element(esk418_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2520, lemma, (ex_inf_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~related(X1,esk426_3(X1,X2,X3),X3)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_345, plain, (X1=empty_set|in(esk61_2(X2,X1),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 45.16/6.93 cnf(i_0_2874, plain, (X1=empty_set|epred1_0|in(esk464_1(X1),X1)|esk461_0!=empty_set|~element(X1,powerset(powerset(esk463_0)))|~in(esk463_0,omega))).
% 45.16/6.93 cnf(i_0_2881, plain, (epred1_0|element(esk461_0,powerset(powerset(empty_set)))|in(set_union2(esk463_0,unordered_pair(esk463_0,esk463_0)),omega))).
% 45.16/6.93 cnf(i_0_195, plain, (latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|~below(X1,esk25_3(X1,X2,X3),X2)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_265, plain, (X1=set_meet(X2)|X2=empty_set|~in(esk43_2(X2,X1),esk44_2(X2,X1))|~in(esk43_2(X2,X1),X1))).
% 45.16/6.93 cnf(i_0_1519, plain, (in(esk254_3(X1,X2,X3),X1)|esk247_1(X1)!=esk246_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1569, plain, (esk253_3(X1,X2,X3)=X3|esk245_1(X1)=esk246_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_581, plain, (X1=join_on_relstr(X2,X3)|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~related(X2,X1,esk124_3(X2,X3,X1))|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 45.16/6.93 cnf(i_0_279, plain, (open_subsets(X1,X2)|element(esk46_2(X2,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 45.16/6.93 cnf(i_0_339, plain, (closed_subsets(X1,X2)|element(esk60_2(X2,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 45.16/6.93 cnf(i_0_369, plain, (below(X1,X2,X3)|empty_carrier(X1)|join(X1,X2,X3)!=X3|~join_semilatt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_1545, plain, (esk253_3(X1,X2,X3)=X3|esk245_1(X1)=esk247_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_836, plain, (transitive_relstr(rel_str_of(X1,X2))|~antisymmetric(X2)|~reflexive(X2)|~transitive(X2)|~v1_partfun1(X2,X1,X1)|~relation_of2(X2,X1,X1))).
% 45.16/6.93 cnf(i_0_835, plain, (antisymmetric_relstr(rel_str_of(X1,X2))|~antisymmetric(X2)|~reflexive(X2)|~transitive(X2)|~v1_partfun1(X2,X1,X1)|~relation_of2(X2,X1,X1))).
% 45.16/6.93 cnf(i_0_837, plain, (reflexive_relstr(rel_str_of(X1,X2))|~antisymmetric(X2)|~reflexive(X2)|~transitive(X2)|~v1_partfun1(X2,X1,X1)|~relation_of2(X2,X1,X1))).
% 45.16/6.93 cnf(i_0_1207, lemma, (X1=unordered_pair(X2,X2)|esk197_1(X3)!=esk196_1(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk198_1(X3)))).
% 45.16/6.93 cnf(i_0_2728, lemma, (disjoint(X1,X2)|in(esk450_2(X1,X2),set_difference(X1,set_difference(X1,X2))))).
% 45.16/6.93 cnf(i_0_2443, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~element(X2,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk416_2(X3,X1)))).
% 45.16/6.93 cnf(i_0_2712, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~element(X2,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk449_2(X3,X1)))).
% 45.16/6.93 cnf(i_0_2713, lemma, (closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~in(X1,esk449_2(X2,X3)))).
% 45.16/6.93 cnf(i_0_2504, lemma, (ex_sup_of_relstr_set(X1,X2)|element(esk423_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_272, plain, (esk45_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk45_2(X1,X2),X2))).
% 45.16/6.93 cnf(i_0_269, plain, (X1=empty_set|in(X2,X3)|~in(X2,set_meet(X1))|~in(X3,X1))).
% 45.16/6.93 cnf(i_0_2795, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,X2))).
% 45.16/6.93 cnf(i_0_2645, lemma, (ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_2691, lemma, (set_union2(esk446_1(X1),unordered_pair(esk446_1(X1),esk446_1(X1)))=X1|being_limit_ordinal(X1)|~ordinal(X1))).
% 45.16/6.93 cnf(i_0_2823, lemma, (apply_as_element(the_carrier(X1),the_carrier(X1),identity_on_carrier(X1),X2)=X2|empty_carrier(X1)|~one_sorted_str(X1)|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_2077, lemma, (esk365_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk364_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2492, lemma, (in(esk421_3(X1,X2,X3),relation_dom(X3))|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 45.16/6.93 cnf(i_0_2512, lemma, (in(esk424_3(X1,X2,X3),relation_rng(X3))|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 45.16/6.93 cnf(i_0_2650, lemma, (identity_relation(relation_dom(X1))=X1|in(esk442_2(relation_dom(X1),X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_948, lemma, (subset(X1,set_difference(X2,unordered_pair(X3,X3)))|in(X3,X1)|~subset(X1,X2))).
% 45.16/6.93 cnf(i_0_2109, lemma, (in(relation_image(X1,X2),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk381_3(X4,X3,X1)))).
% 45.16/6.93 cnf(i_0_435, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_351, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))).
% 45.16/6.93 cnf(i_0_699, plain, (point_neighbourhood(esk131_2(X1,X2),X1,X2)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_524, plain, (relstr_element_smaller(X1,X2,X3)|in(esk108_3(X1,X2,X3),X2)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_1127, plain, (related_reflexive(X1,X2,X3)|empty_carrier(X1)|~reflexive_relstr(X1)|~related(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_227, plain, (X1=boole_lattice(X2)|element(esk31_2(X2,X1),powerset(X2))|powerset(X2)!=the_carrier(X1)|~strict_latt_str(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2586, lemma, (esk433_1(X1)=empty_set|in(apply(esk434_1(X1),X2),X2)|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_527, plain, (meet_absorbing(X1)|empty_carrier(X1)|join(X1,meet(X1,esk109_1(X1),esk110_1(X1)),esk110_1(X1))!=esk110_1(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_1998, plain, (esk350_3(X1,X2,X3)=X3|esk345_2(X1,X2)!=esk344_2(X1,X2)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1502, plain, (in(unordered_pair(X1,X1),esk243_1(X2))|esk242_1(X2)!=esk241_1(X2)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_226, plain, (X1=boole_lattice(X2)|element(esk32_2(X2,X1),powerset(X2))|powerset(X2)!=the_carrier(X1)|~strict_latt_str(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2523, lemma, (related(X1,X2,esk425_2(X1,X3))|~antisymmetric_relstr(X1)|~relstr_element_smaller(X1,X3,X2)|~ex_inf_of_relstr_set(X1,X3)|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2710, lemma, (meet_of_subsets(the_carrier(X1),esk449_2(X1,X2))=topstr_closure(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_526, plain, (related(X1,X2,X3)|~relstr_element_smaller(X1,X4,X2)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~in(X3,X4)|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_268, plain, (X1=empty_set|in(esk42_3(X1,set_meet(X1),X2),X1)|in(X2,set_meet(X1)))).
% 45.16/6.93 cnf(i_0_364, plain, (finite(esk69_2(X1,X2))|~is_a_cover_of_carrier(X1,X2)|~compact_top_space(X1)|~open_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2110, lemma, (in(X1,powerset(relation_dom(X2)))|~relation(X2)|~function(X2)|~element(X3,powerset(powerset(X4)))|~in(X1,esk381_3(X4,X3,X2)))).
% 45.16/6.93 cnf(i_0_2605, plain, (X1=X2|in(esk435_2(X1,X2),X1)|in(esk435_2(X1,X2),X2))).
% 45.16/6.93 cnf(i_0_190, plain, (X1=bottom_of_semilattstr(X2)|empty_carrier(X2)|element(esk24_2(X2,X1),the_carrier(X2))|~lower_bounded_semilattstr(X2)|~meet_semilatt_str(X2)|~element(X1,the_carrier(X2)))).
% 45.16/6.93 cnf(i_0_637, plain, (empty_carrier(X1)|element(join_commut(X1,X2,X3),the_carrier(X1))|~join_semilatt_str(X1)|~join_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_643, plain, (empty_carrier(X1)|element(meet_commut(X1,X2,X3),the_carrier(X1))|~meet_semilatt_str(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_175, plain, (in(esk17_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_image(X1,X2)))).
% 45.16/6.93 cnf(i_0_2561, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|in(esk428_3(X2,X1,X3),X1)|~relation_of2_as_subset(X3,X1,X2))).
% 45.16/6.93 cnf(i_0_910, plain, (esk138_3(X1,X2,X3)=X1|empty_carrier(X2)|~complete_latt_str(X2)|~lattice(X2)|~in(X1,a_2_3_lattice3(X2,X3))|~latt_str(X2))).
% 45.16/6.93 cnf(i_0_2829, lemma, (quasi_total(X1,empty_set,X2)|~relation_of2_as_subset(X1,empty_set,X3)|~subset(X3,X2)|~quasi_total(X1,empty_set,X3)|~function(X1))).
% 45.16/6.93 cnf(i_0_2568, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|in(esk430_3(X1,X2,X3),X2)|~relation_of2_as_subset(X3,X1,X2))).
% 45.16/6.93 cnf(i_0_157, plain, (meet(X1,X2,esk12_1(X1))=esk12_1(X1)|empty_carrier(X1)|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_158, plain, (meet(X1,esk12_1(X1),X2)=esk12_1(X1)|empty_carrier(X1)|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_2695, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|~closed_subset(esk447_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_499, plain, (ex_sup_of_relstr_set(X1,X2)|esk105_3(X1,X2,X3)!=X3|~relstr_set_smaller(X1,X2,X3)|~related(X1,X3,esk104_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_181, plain, (in(esk20_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_inverse_image(X1,X2)))).
% 45.16/6.93 cnf(i_0_1557, plain, (esk253_3(X1,X2,X3)=X3|in(esk248_1(X1),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1533, plain, (esk253_3(X1,X2,X3)=X3|in(esk250_1(X1),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_756, plain, (empty_carrier(X1)|v1_partfun1(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1)|~join_commutative(X1))).
% 45.16/6.93 cnf(i_0_828, plain, (empty_carrier(X1)|v1_partfun1(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1)|~join_associative(X1))).
% 45.16/6.93 cnf(i_0_858, plain, (empty_carrier(X1)|v1_partfun1(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1)|~meet_commutative(X1))).
% 45.16/6.93 cnf(i_0_2860, plain, (epred1_0|in(esk466_1(X1),esk465_0)|in(esk462_1(X2),esk461_0)|~in(X2,esk461_0)|~in(X1,esk465_0))).
% 45.16/6.93 cnf(i_0_2495, lemma, (relation_image(X1,set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2)))=relation_image(X1,X2)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2104, lemma, (in(X1,cartesian_product2(X2,X2))|~relation(X3)|~relation(X4)|~function(X3)|~in(X1,esk377_3(X2,X4,X3)))).
% 45.16/6.93 cnf(i_0_153, plain, (in(apply(X1,X2),X3)|~relation(X1)|~function(X1)|~in(X2,relation_inverse_image(X1,X3)))).
% 45.16/6.93 cnf(i_0_117, plain, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),identity_relation(X2)))).
% 45.16/6.93 cnf(i_0_877, plain, (empty_carrier(X1)|v1_partfun1(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1)|~meet_associative(X1))).
% 45.16/6.93 cnf(i_0_2851, plain, (epred1_0|subset(X1,esk462_1(X1))|in(esk466_1(X2),esk465_0)|~in(X1,esk461_0)|~in(X2,esk465_0))).
% 45.16/6.93 cnf(i_0_296, plain, (X1=powerset(X2)|subset(esk51_2(X2,X1),X2)|in(esk51_2(X2,X1),X1))).
% 45.16/6.93 cnf(i_0_2551, lemma, (in(apply(X1,X2),relation_dom(X3))|~relation(X3)|~relation(X1)|~function(X3)|~function(X1)|~in(X2,relation_dom(relation_composition(X1,X3))))).
% 45.16/6.93 cnf(i_0_1328, lemma, (in(X1,X2)|~relation(X3)|~relation(X4)|~function(X3)|~in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),esk215_3(X2,X4,X3)))).
% 45.16/6.93 cnf(i_0_1329, lemma, (in(X1,X2)|~relation(X3)|~relation(X4)|~function(X3)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),esk215_3(X2,X4,X3)))).
% 45.16/6.93 cnf(i_0_2640, lemma, (X1=empty_set|ordinal_subset(esk441_2(X1,X2),X3)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X3)|~in(X3,X1))).
% 45.16/6.93 cnf(i_0_414, plain, (X1=union(X2)|in(esk86_2(X2,X1),X2)|in(esk85_2(X2,X1),X1))).
% 45.16/6.93 cnf(i_0_1286, lemma, (relation(esk207_2(X1,X2))|in(esk204_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2859, plain, (epred1_0|subset(X1,esk466_1(X1))|in(esk462_1(X2),esk461_0)|~in(X2,esk461_0)|~in(X1,esk465_0))).
% 45.16/6.93 cnf(i_0_1503, plain, (unordered_pair(esk244_2(X1,X2),esk244_2(X1,X2))=X2|esk242_1(X1)!=esk241_1(X1)|~in(X2,esk243_1(X1)))).
% 45.16/6.93 cnf(i_0_2689, lemma, (in(set_union2(X1,unordered_pair(X1,X1)),X2)|~being_limit_ordinal(X2)|~ordinal(X2)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_1596, plain, (subset(X1,X2)|esk267_2(X3,X1)!=esk266_2(X3,X1)|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk270_2(X3,X1)))).
% 45.16/6.93 cnf(i_0_2700, lemma, (in(X1,topstr_closure(X2,X3))|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~in(X1,esk448_3(X2,X3,X1))|~in(X1,the_carrier(X2)))).
% 45.16/6.93 cnf(i_0_2584, lemma, (latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|~relstr_element_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2))|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_415, plain, (X1=union(X2)|in(esk85_2(X2,X1),esk86_2(X2,X1))|in(esk85_2(X2,X1),X1))).
% 45.16/6.93 cnf(i_0_511, plain, (X1=esk102_2(X2,X3)|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~related(X2,X1,esk103_3(X2,X3,X1))|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 45.16/6.93 cnf(i_0_370, plain, (join(X1,X2,X3)=X3|empty_carrier(X1)|~below(X1,X2,X3)|~join_semilatt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_2734, lemma, (X1=empty_set|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))).
% 45.16/6.93 cnf(i_0_109, plain, (subset_union2(X1,X2,X3)=subset_union2(X1,X3,X2)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_2850, plain, (epred1_0|subset(X1,esk466_1(X1))|subset(X2,esk462_1(X2))|~in(X2,esk461_0)|~in(X1,esk465_0))).
% 45.16/6.93 cnf(i_0_2474, lemma, (union_of_subsets(X1,complements_of_subsets(X1,X2))=subset_complement(X1,meet_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))).
% 45.16/6.93 cnf(i_0_2609, lemma, (latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|~relstr_set_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2))|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_554, plain, (ex_inf_of_relstr_set(X1,X2)|esk122_3(X1,X2,X3)!=X3|~related(X1,esk121_3(X1,X2,X3),X3)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2115, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk382_2(X3,X2)))).
% 45.16/6.93 cnf(i_0_388, plain, (X1=empty_set|in(esk76_3(X2,X3,X1),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2470, lemma, (meet_of_subsets(X1,complements_of_subsets(X1,X2))=subset_complement(X1,union_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))).
% 45.16/6.93 cnf(i_0_110, plain, (subset_intersection2(X1,X2,X3)=subset_intersection2(X1,X3,X2)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_584, plain, (related(X1,join_on_relstr(X1,X2),X3)|~relstr_set_smaller(X1,X2,X3)|~ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_473, plain, (open_subset(subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2),X1)|~closed_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_376, plain, (X1=X2|in(X1,X2)|in(X2,X1)|~epsilon_connected(X3)|~in(X2,X3)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_2880, plain, (epred1_0|element(esk465_0,powerset(powerset(set_union2(esk463_0,unordered_pair(esk463_0,esk463_0)))))|element(esk461_0,powerset(powerset(empty_set))))).
% 45.16/6.93 cnf(i_0_2081, lemma, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))|~in(X2,esk366_2(X1,X3)))).
% 45.16/6.93 cnf(i_0_441, plain, (in(apply(X1,X2),relation_rng(X1))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 45.16/6.93 cnf(i_0_2845, plain, (epred1_0|in(set_union2(esk463_0,unordered_pair(esk463_0,esk463_0)),omega)|esk462_1(X1)!=X1|~in(X1,esk461_0))).
% 45.16/6.93 cnf(i_0_2503, lemma, (relstr_set_smaller(X1,X2,esk423_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2522, lemma, (ex_inf_of_relstr_set(X1,X2)|element(esk426_3(X1,X2,X3),the_carrier(X1))|~antisymmetric_relstr(X1)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2036, plain, (esk346_2(X1,X2)=esk344_2(X1,X2)|esk349_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2012, plain, (esk347_2(X1,X2)=esk345_2(X1,X2)|esk349_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2278, lemma, (unordered_pair(esk393_1(X1),esk393_1(X1))=esk394_1(X1)|function(esk397_1(X1)))).
% 45.16/6.93 cnf(i_0_152, plain, (in(X1,relation_inverse_image(X2,X3))|~relation(X2)|~function(X2)|~in(apply(X2,X1),X3)|~in(X1,relation_dom(X2)))).
% 45.16/6.93 cnf(i_0_2484, lemma, (empty_carrier(X1)|meet_of_subsets(the_carrier(X1),X2)!=empty_set|~compact_top_space(X1)|~closed_subsets(X2,X1)|~centered(X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_1567, plain, (esk245_1(X1)=esk246_1(X1)|in(esk254_3(X1,X2,X3),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2761, lemma, (apply(X1,apply(function_inverse(X1),X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 45.16/6.93 cnf(i_0_2760, lemma, (apply(relation_composition(function_inverse(X1),X1),X2)=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 45.16/6.93 cnf(i_0_583, plain, (X1=join_on_relstr(X2,X3)|element(esk124_3(X2,X3,X1),the_carrier(X2))|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 45.16/6.93 cnf(i_0_2427, lemma, (X1=empty_set|in(esk414_2(X2,X1),X1)|esk412_0!=empty_set|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 45.16/6.93 cnf(i_0_442, plain, (apply(X1,esk89_3(X1,relation_rng(X1),X2))=X2|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 45.16/6.93 cnf(i_0_1543, plain, (esk245_1(X1)=esk247_1(X1)|in(esk254_3(X1,X2,X3),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_905, plain, (latt_set_smaller(X1,esk137_3(X2,X1,X3),X3)|empty_carrier(X1)|~in(X2,a_2_2_lattice3(X1,X3))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2567, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(X4,esk430_3(X1,X2,X3)),unordered_pair(X4,X4)),X3))).
% 45.16/6.93 cnf(i_0_365, plain, (is_a_cover_of_carrier(X1,esk69_2(X1,X2))|~is_a_cover_of_carrier(X1,X2)|~compact_top_space(X1)|~open_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_1188, lemma, (function(esk192_2(X1,X2))|empty(X1)|in(esk188_2(X1,X2),esk190_2(X1,X2))|~relation(X2))).
% 45.16/6.93 cnf(i_0_187, plain, (latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|element(esk23_3(X1,X2,X3),the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_197, plain, (latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|element(esk25_3(X1,X2,X3),the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2757, lemma, (open_subset(X1,X2)|interior(X2,X1)!=X1|~topological_space(X2)|~top_str(X3)|~top_str(X2)|~element(X4,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X2))))).
% 45.16/6.93 cnf(i_0_577, plain, (related(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),the_InternalRel(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_139, plain, (in(esk6_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 45.16/6.93 cnf(i_0_1156, lemma, (function(esk192_2(X1,X2))|empty(X1)|in(esk189_2(X1,X2),esk191_2(X1,X2))|~relation(X2))).
% 45.16/6.93 cnf(i_0_366, plain, (subset(esk69_2(X1,X2),X2)|~is_a_cover_of_carrier(X1,X2)|~compact_top_space(X1)|~open_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_280, plain, (open_subset(X1,X2)|~open_subsets(X3,X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_340, plain, (closed_subset(X1,X2)|~closed_subsets(X3,X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_121, plain, (X1=meet_on_relstr(X2,X3)|~related(X2,esk3_3(X2,X3,X1),X1)|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 45.16/6.93 cnf(i_0_1189, lemma, (relation(esk192_2(X1,X2))|empty(X1)|in(esk188_2(X1,X2),esk190_2(X1,X2))|~relation(X2))).
% 45.16/6.93 cnf(i_0_209, plain, (X1=X2|X1=X3|X1=X4|~in(X1,unordered_triple(X4,X3,X2)))).
% 45.16/6.93 cnf(i_0_566, plain, (X1=esk119_2(X2,X3)|~related(X2,esk120_3(X2,X3,X1),X1)|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 45.16/6.93 cnf(i_0_2279, lemma, (unordered_pair(esk393_1(X1),esk393_1(X1))=esk394_1(X1)|relation(esk397_1(X1)))).
% 45.16/6.93 cnf(i_0_155, plain, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|meet(X1,X2,esk13_2(X1,X2))!=X2|meet(X1,esk13_2(X1,X2),X2)!=X2|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_2534, lemma, (X1=esk427_2(X2,X3)|X3=empty_set|~subset(esk427_2(X2,X3),X1)|~finite(X2)|~element(X3,powerset(powerset(X2)))|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_2035, plain, (esk346_2(X1,X2)=esk344_2(X1,X2)|ordinal(esk350_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1157, lemma, (relation(esk192_2(X1,X2))|empty(X1)|in(esk189_2(X1,X2),esk191_2(X1,X2))|~relation(X2))).
% 45.16/6.93 cnf(i_0_2633, lemma, (relstr_set_smaller(poset_of_lattice(X1),X2,X3)|empty_carrier(X1)|~latt_element_smaller(X1,cast_to_el_of_lattice(X1,X3),X2)|~lattice(X1)|~element(X3,the_carrier(poset_of_lattice(X1)))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_276, plain, (subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2)))=interior(X1,X2)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_2011, plain, (esk347_2(X1,X2)=esk345_2(X1,X2)|ordinal(esk350_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2076, lemma, (closed_subset(esk365_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk364_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_443, plain, (in(esk89_3(X1,relation_rng(X1),X2),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 45.16/6.93 cnf(i_0_1509, plain, (unordered_pair(esk244_2(X1,X2),esk244_2(X1,X2))=X2|in(esk240_1(X1),X1)|~in(X2,esk243_1(X1)))).
% 45.16/6.93 cnf(i_0_1997, plain, (in(esk350_3(X1,X2,X3),X1)|esk345_2(X1,X2)!=esk344_2(X1,X2)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2055, lemma, (empty(X1)|in(esk352_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk351_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_2086, lemma, (in(X1,powerset(X2))|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(X1,esk367_2(X2,X3)))).
% 45.16/6.93 cnf(i_0_2093, lemma, (in(X1,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,esk369_3(X2,X3,X4)))).
% 45.16/6.93 cnf(i_0_911, plain, (empty_carrier(X1)|element(esk138_3(X2,X1,X3),the_carrier(X1))|~complete_latt_str(X1)|~lattice(X1)|~in(X2,a_2_3_lattice3(X1,X3))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2445, lemma, (esk417_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk416_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_252, plain, (in(union_of_subsets(the_carrier(X1),X2),the_topology(X1))|~topological_space(X1)|~top_str(X1)|~subset(X2,the_topology(X1))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2657, lemma, (latt_set_smaller(X1,meet_of_latt_set(X1,X2),X2)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2583, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))).
% 45.16/6.93 cnf(i_0_1522, plain, (in(esk253_3(X1,X2,X3),cartesian_product2(X1,X2))|esk247_1(X1)!=esk246_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2595, lemma, (relstr_element_smaller(poset_of_lattice(X1),X2,X3)|empty_carrier(X1)|~latt_set_smaller(X1,cast_to_el_of_lattice(X1,X3),X2)|~lattice(X1)|~element(X3,the_carrier(poset_of_lattice(X1)))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2832, lemma, (X1=empty_set|quasi_total(X2,X3,X4)|~relation_of2_as_subset(X2,X3,X1)|~subset(X1,X4)|~quasi_total(X2,X3,X1)|~function(X2))).
% 45.16/6.93 cnf(i_0_282, plain, (X1=fiber(X2,X3)|in(esk47_3(X2,X3,X1),X1)|esk47_3(X2,X3,X1)!=X3|~relation(X2))).
% 45.16/6.93 cnf(i_0_507, plain, (ex_sup_of_relstr_set(X1,X2)|element(esk104_3(X1,X2,X3),the_carrier(X1))|esk105_3(X1,X2,X3)!=X3|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_1317, lemma, (X1=empty_set|in(esk214_2(X2,X1),X1)|esk210_0!=empty_set|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 45.16/6.93 cnf(i_0_1311, lemma, (X1=empty_set|in(esk214_2(X2,X1),X1)|esk212_0!=empty_set|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 45.16/6.93 cnf(i_0_201, plain, (empty_carrier(X1)|in(X2,interior(X1,X3))|~point_neighbourhood(X3,X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_304, plain, (latt_element_smaller(X1,join_of_latt_set(X1,X2),X2)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2721, lemma, (subset_difference(X1,X1,meet_of_subsets(X1,X2))=union_of_subsets(X1,complements_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))).
% 45.16/6.93 cnf(i_0_2066, lemma, (in(X1,esk359_1(X2))|esk362_3(X2,X1,X1)!=empty_set|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 45.16/6.93 cnf(i_0_2709, lemma, (X1=empty_set|in(X2,X3)|~relation_of2_as_subset(X4,X3,X1)|~quasi_total(X4,X3,X1)|~function(X4)|~in(X2,relation_inverse_image(X4,X5)))).
% 45.16/6.93 cnf(i_0_2719, lemma, (subset_difference(X1,X1,union_of_subsets(X1,X2))=meet_of_subsets(X1,complements_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))).
% 45.16/6.93 cnf(i_0_240, plain, (topological_space(X1)|element(esk36_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk35_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_239, plain, (topological_space(X1)|element(esk37_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk35_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_266, plain, (X1=set_meet(X2)|X2=empty_set|in(esk44_2(X2,X1),X2)|~in(esk43_2(X2,X1),X1))).
% 45.16/6.93 cnf(i_0_2078, lemma, (element(esk365_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk364_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2270, lemma, (unordered_pair(esk393_1(X1),esk393_1(X1))=esk395_1(X1)|function(esk397_1(X1)))).
% 45.16/6.93 cnf(i_0_132, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_dom_restriction(X3,X2)))).
% 45.16/6.93 cnf(i_0_146, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_rng_restriction(X2,X3)))).
% 45.16/6.93 cnf(i_0_2040, plain, (esk350_3(X1,X2,X3)=X3|ordinal(esk346_2(X1,X2))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1114, plain, (subset_intersection2(X1,X2,X3)=set_difference(X2,set_difference(X2,X3))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_513, plain, (X1=esk102_2(X2,X3)|element(esk103_3(X2,X3,X1),the_carrier(X2))|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 45.16/6.93 cnf(i_0_2758, lemma, (interior(X1,X2)=X2|~topological_space(X3)|~open_subset(X2,X1)|~top_str(X3)|~top_str(X1)|~element(X4,powerset(the_carrier(X3)))|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_191, plain, (meet(X1,X2,bottom_of_semilattstr(X1))=bottom_of_semilattstr(X1)|empty_carrier(X1)|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_2016, plain, (esk350_3(X1,X2,X3)=X3|ordinal(esk347_2(X1,X2))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2579, lemma, (X1=X2|empty_carrier(X3)|~below(X3,X2,X1)|~below(X3,X1,X2)|~join_semilatt_str(X3)|~join_commutative(X3)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3)))).
% 45.16/6.93 cnf(i_0_457, plain, (X1=relation_rng(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,esk94_2(X2,X1)),unordered_pair(X3,X3)),X2)|~in(esk94_2(X2,X1),X1))).
% 45.16/6.93 cnf(i_0_1336, plain, (empty(X1)|in(esk222_3(X1,X2,X3),X1)|esk218_2(X1,X2)!=esk217_2(X1,X2)|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2042, plain, (esk349_3(X1,X2,X3)=X3|ordinal(esk346_2(X1,X2))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2018, plain, (esk349_3(X1,X2,X3)=X3|ordinal(esk347_2(X1,X2))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1109, plain, (meet_commut(X1,X2,X3)=meet(X1,X2,X3)|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_1108, plain, (join_commut(X1,X2,X3)=join(X1,X2,X3)|empty_carrier(X1)|~join_semilatt_str(X1)|~join_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_2437, lemma, (X1=empty_set|ordinal(esk410_0)|in(esk414_2(X2,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 45.16/6.93 cnf(i_0_192, plain, (meet(X1,bottom_of_semilattstr(X1),X2)=bottom_of_semilattstr(X1)|empty_carrier(X1)|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_1570, plain, (esk245_1(X1)=esk246_1(X1)|in(esk253_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2557, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(X3,relation_dom(relation_composition(X1,X2))))).
% 45.16/6.93 cnf(i_0_1600, plain, (esk271_3(X1,X2,X3)=X3|esk267_2(X1,X2)!=esk266_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1218, lemma, (in(esk195_1(X1),X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk198_1(X1)))).
% 45.16/6.93 cnf(i_0_1546, plain, (esk245_1(X1)=esk247_1(X1)|in(esk253_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_250, plain, (topological_space(X1)|element(esk35_1(X1),powerset(powerset(the_carrier(X1))))|element(esk36_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_249, plain, (topological_space(X1)|element(esk35_1(X1),powerset(powerset(the_carrier(X1))))|element(esk37_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_1285, lemma, (function(esk207_2(X1,X2))|in(esk204_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2271, lemma, (unordered_pair(esk393_1(X1),esk393_1(X1))=esk395_1(X1)|relation(esk397_1(X1)))).
% 45.16/6.93 cnf(i_0_1139, lemma, (empty(X1)|in(X2,X1)|esk189_2(X1,X3)!=esk188_2(X1,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)),esk192_2(X1,X3)))).
% 45.16/6.93 cnf(i_0_1392, plain, (esk235_4(X1,X2,X3,X4)=X4|empty(X1)|esk227_2(X1,X2)!=esk226_2(X1,X2)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_522, plain, (X1=X2|apply(X3,X1)!=apply(X3,X2)|~one_to_one(X3)|~relation(X3)|~function(X3)|~in(X2,relation_dom(X3))|~in(X1,relation_dom(X3)))).
% 45.16/6.93 cnf(i_0_200, plain, (point_neighbourhood(X1,X2,X3)|empty_carrier(X2)|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,the_carrier(X2))|~in(X3,interior(X2,X1)))).
% 45.16/6.93 cnf(i_0_1555, plain, (in(esk254_3(X1,X2,X3),X1)|in(esk248_1(X1),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_502, plain, (ex_sup_of_relstr_set(X1,X2)|element(esk105_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~related(X1,X3,esk104_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2844, plain, (epred1_0|element(esk465_0,powerset(powerset(set_union2(esk463_0,unordered_pair(esk463_0,esk463_0)))))|esk462_1(X1)!=X1|~in(X1,esk461_0))).
% 45.16/6.93 cnf(i_0_344, plain, (X1=empty_set|disjoint(fiber(X2,esk61_2(X2,X1)),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 45.16/6.93 cnf(i_0_245, plain, (topological_space(X1)|subset(esk35_1(X1),the_topology(X1))|element(esk36_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_2277, lemma, (unordered_pair(esk393_1(X1),esk393_1(X1))=esk394_1(X1)|relation_dom(esk397_1(X1))=X1)).
% 45.16/6.93 cnf(i_0_476, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk96_2(X1,X2),esk96_2(X1,X2)),unordered_pair(esk96_2(X1,X2),esk97_2(X1,X2))),X1))).
% 45.16/6.93 cnf(i_0_475, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk96_2(X1,X2),esk97_2(X1,X2)),unordered_pair(esk97_2(X1,X2),esk97_2(X1,X2))),X1))).
% 45.16/6.93 cnf(i_0_539, plain, (is_transitive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk115_2(X1,X2),esk115_2(X1,X2)),unordered_pair(esk115_2(X1,X2),esk117_2(X1,X2))),X1))).
% 45.16/6.93 cnf(i_0_257, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk41_2(X1,X2),esk41_2(X1,X2)),unordered_pair(esk41_2(X1,X2),esk41_2(X1,X2))),X1))).
% 45.16/6.93 cnf(i_0_1531, plain, (in(esk254_3(X1,X2,X3),X1)|in(esk250_1(X1),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_244, plain, (topological_space(X1)|subset(esk35_1(X1),the_topology(X1))|element(esk37_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_2873, plain, (X1=esk464_1(X2)|X2=empty_set|epred1_0|esk461_0!=empty_set|~subset(esk464_1(X2),X1)|~element(X2,powerset(powerset(esk463_0)))|~in(esk463_0,omega)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_186, plain, (latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|in(esk23_3(X1,X2,X3),X3)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_196, plain, (latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|in(esk25_3(X1,X2,X3),X3)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2269, lemma, (unordered_pair(esk393_1(X1),esk393_1(X1))=esk395_1(X1)|relation_dom(esk397_1(X1))=X1)).
% 45.16/6.93 cnf(i_0_2068, lemma, (in(X1,esk359_1(X2))|in(X1,omega)|~ordinal(X2)|~ordinal(X1)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 45.16/6.93 cnf(i_0_2294, lemma, (function(esk403_2(X1,X2))|subset_complement(the_carrier(X1),esk402_3(X1,X2,X3))!=X3|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2358, lemma, (function(esk409_2(X1,X2))|subset_complement(the_carrier(X1),esk408_3(X1,X2,X3))!=X3|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2590, lemma, (in(apply(esk434_1(X1),X2),X2)|in(esk433_1(X1),X1)|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_1132, plain, (below_refl(X1,X2,X2)|empty_carrier(X1)|~join_absorbing(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2883, plain, (X1=empty_set|epred1_0|element(esk461_0,powerset(powerset(empty_set)))|in(esk464_1(X1),X1)|~element(X1,powerset(powerset(esk463_0)))|~in(esk463_0,omega))).
% 45.16/6.93 cnf(i_0_582, plain, (X1=join_on_relstr(X2,X3)|relstr_set_smaller(X2,X3,esk124_3(X2,X3,X1))|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 45.16/6.93 cnf(i_0_2610, lemma, (relstr_set_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))|empty_carrier(X1)|~latt_element_smaller(X1,X3,X2)|~lattice(X1)|~element(X3,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_1508, plain, (in(unordered_pair(X1,X1),esk243_1(X2))|in(esk240_1(X2),X2)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_2295, lemma, (relation(esk403_2(X1,X2))|subset_complement(the_carrier(X1),esk402_3(X1,X2,X3))!=X3|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2359, lemma, (relation(esk409_2(X1,X2))|subset_complement(the_carrier(X1),esk408_3(X1,X2,X3))!=X3|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2708, lemma, (X1=empty_set|in(apply(X2,X3),X4)|~relation_of2_as_subset(X2,X5,X1)|~quasi_total(X2,X5,X1)|~function(X2)|~in(X3,relation_inverse_image(X2,X4)))).
% 45.16/6.93 cnf(i_0_904, plain, (empty_carrier(X1)|in(X2,a_2_2_lattice3(X1,X3))|~latt_set_smaller(X1,X2,X3)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2558, lemma, (subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2))=X2|~one_sorted_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 45.16/6.93 cnf(i_0_238, plain, (topological_space(X1)|in(esk36_1(X1),the_topology(X1))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk35_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_237, plain, (topological_space(X1)|in(esk37_1(X1),the_topology(X1))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk35_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_2041, plain, (ordinal(esk350_3(X1,X2,X3))|ordinal(esk346_2(X1,X2))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2017, plain, (ordinal(esk350_3(X1,X2,X3))|ordinal(esk347_2(X1,X2))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2054, lemma, (esk354_4(X1,X2,X3,X4)=esk352_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk351_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_2098, lemma, (in(esk374_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk373_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_1513, plain, (unordered_pair(esk240_1(X1),esk240_1(X1))=esk241_1(X1)|in(esk244_2(X1,X2),X1)|~in(X2,esk243_1(X1)))).
% 45.16/6.93 cnf(i_0_2580, lemma, (related(X1,X2,X3)|~transitive_relstr(X1)|~related(X1,X4,X3)|~related(X1,X2,X4)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_1325, lemma, (X1=empty_set|ordinal(esk210_0)|in(esk214_2(X2,X1),X1)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 45.16/6.93 cnf(i_0_2697, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|element(esk447_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_138, plain, (apply(X1,esk6_4(X1,X2,relation_image(X1,X2),X3))=X3|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 45.16/6.93 cnf(i_0_1507, plain, (unordered_pair(esk240_1(X1),esk240_1(X1))=esk242_1(X1)|in(esk244_2(X1,X2),X1)|~in(X2,esk243_1(X1)))).
% 45.16/6.93 cnf(i_0_440, plain, (X1=relation_rng(X2)|esk90_2(X2,X1)!=apply(X2,X3)|~relation(X2)|~function(X2)|~in(esk90_2(X2,X1),X1)|~in(X3,relation_dom(X2)))).
% 45.16/6.93 cnf(i_0_2762, lemma, (point_neighbourhood(X1,X2,X3)|empty_carrier(X2)|~topological_space(X2)|~open_subset(X1,X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,X1))).
% 45.16/6.93 cnf(i_0_1335, plain, (esk222_3(X1,X2,X3)=esk223_3(X1,X2,X3)|empty(X1)|esk218_2(X1,X2)!=esk217_2(X1,X2)|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1126, plain, (below(X1,X2,X3)|empty_carrier(X1)|~below_refl(X1,X2,X3)|~join_absorbing(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_1551, plain, (unordered_pair(esk248_1(X1),esk248_1(X1))=esk249_1(X1)|esk253_3(X1,X2,X3)=X3|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_124, plain, (related(X1,X2,meet_on_relstr(X1,X3))|~relstr_element_smaller(X1,X3,X2)|~ex_inf_of_relstr_set(X1,X3)|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2847, plain, (X1=empty_set|epred1_0|in(esk464_1(X1),X1)|esk462_1(X2)!=X2|~element(X1,powerset(powerset(esk463_0)))|~in(esk463_0,omega)|~in(X2,esk461_0))).
% 45.16/6.93 cnf(i_0_2711, lemma, (in(X1,esk449_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~subset(X3,X1)|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2))))).
% 45.16/6.93 cnf(i_0_548, plain, (X1=complements_of_subsets(X2,X3)|element(esk118_3(X2,X3,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 45.16/6.93 cnf(i_0_1527, plain, (unordered_pair(esk250_1(X1),esk250_1(X1))=esk251_1(X1)|esk253_3(X1,X2,X3)=X3|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_432, plain, (X1=set_difference(X2,X3)|in(esk88_3(X2,X3,X1),X1)|~in(esk88_3(X2,X3,X1),X3))).
% 45.16/6.93 cnf(i_0_1674, plain, (esk277_3(X1,X2,X3)=X3|esk275_2(X1,X2)!=esk274_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1924, plain, (esk330_4(X1,X2,X3,X4)=X4|esk324_3(X1,X2,X3)!=esk323_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_2863, plain, (epred1_0|in(set_union2(esk463_0,unordered_pair(esk463_0,esk463_0)),omega)|in(esk462_1(X1),esk461_0)|~in(X1,esk461_0))).
% 45.16/6.93 cnf(i_0_2431, lemma, (X1=empty_set|in(esk414_2(X2,X1),X1)|in(esk410_0,omega)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 45.16/6.93 cnf(i_0_2634, lemma, (latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X3)|empty_carrier(X1)|~relstr_set_smaller(poset_of_lattice(X1),X3,X2)|~lattice(X1)|~element(X2,the_carrier(poset_of_lattice(X1)))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_243, plain, (topological_space(X1)|subset(esk35_1(X1),the_topology(X1))|in(esk36_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_242, plain, (topological_space(X1)|subset(esk35_1(X1),the_topology(X1))|in(esk37_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_140, plain, (in(esk6_4(X1,X2,relation_image(X1,X2),X3),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 45.16/6.93 cnf(i_0_2854, plain, (epred1_0|subset(X1,esk462_1(X1))|in(set_union2(esk463_0,unordered_pair(esk463_0,esk463_0)),omega)|~in(X1,esk461_0))).
% 45.16/6.93 cnf(i_0_909, plain, (latt_set_smaller(X1,esk138_3(X2,X1,X3),X3)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~in(X2,a_2_3_lattice3(X1,X3))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_174, plain, (in(X1,relation_image(X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X2)|~in(X4,X3))).
% 45.16/6.93 cnf(i_0_1512, plain, (unordered_pair(esk240_1(X1),esk240_1(X1))=esk241_1(X1)|unordered_pair(esk244_2(X1,X2),esk244_2(X1,X2))=X2|~in(X2,esk243_1(X1)))).
% 45.16/6.93 cnf(i_0_2449, lemma, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))|~element(X2,powerset(the_carrier(X1)))|~in(X2,esk418_2(X1,X3)))).
% 45.16/6.93 cnf(i_0_503, plain, (relstr_set_smaller(X1,X2,esk104_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|esk105_3(X1,X2,X3)!=X3|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_123, plain, (X1=meet_on_relstr(X2,X3)|element(esk3_3(X2,X3,X1),the_carrier(X2))|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 45.16/6.93 cnf(i_0_568, plain, (X1=esk119_2(X2,X3)|element(esk120_3(X2,X3,X1),the_carrier(X2))|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 45.16/6.93 cnf(i_0_180, plain, (in(X1,relation_inverse_image(X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X2)|~in(X4,X3))).
% 45.16/6.93 cnf(i_0_1506, plain, (unordered_pair(esk240_1(X1),esk240_1(X1))=esk242_1(X1)|unordered_pair(esk244_2(X1,X2),esk244_2(X1,X2))=X2|~in(X2,esk243_1(X1)))).
% 45.16/6.93 cnf(i_0_284, plain, (X1=X2|in(X1,fiber(X3,X2))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3))).
% 45.16/6.93 cnf(i_0_927, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~reflexive(X2)|~relation(X2)|~in(X1,relation_field(X2)))).
% 45.16/6.93 cnf(i_0_2046, plain, (esk343_2(X1,X2)=esk344_2(X1,X2)|esk350_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_292, plain, (subset(X1,X2)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),inclusion_relation(X3))|~in(X2,X3)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_949, lemma, (empty_carrier(X1)|in(X2,subset_complement(the_carrier(X1),X3))|in(X2,X3)|~one_sorted_str(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_165, plain, (X1=topstr_closure(X2,X3)|in(esk15_3(X2,X3,X1),the_carrier(X2))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2))))).
% 45.16/6.93 cnf(i_0_2357, lemma, (relation_dom(esk409_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk408_3(X1,X2,X3))!=X3|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2022, plain, (esk343_2(X1,X2)=esk345_2(X1,X2)|esk350_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_198, plain, (below(X1,X2,X3)|empty_carrier(X1)|~latt_element_smaller(X1,X3,X4)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~in(X2,X4)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_188, plain, (below(X1,X2,X3)|empty_carrier(X1)|~latt_set_smaller(X1,X2,X4)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~in(X3,X4)|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2034, plain, (esk346_2(X1,X2)=esk344_2(X1,X2)|esk350_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1250, lemma, (function(esk202_2(X1,X2))|in(esk199_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_1251, lemma, (relation(esk202_2(X1,X2))|in(esk199_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_1511, plain, (unordered_pair(esk240_1(X1),esk240_1(X1))=esk241_1(X1)|in(unordered_pair(X2,X2),esk243_1(X1))|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_2010, plain, (esk347_2(X1,X2)=esk345_2(X1,X2)|esk350_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_900, plain, (below_refl(X1,esk135_2(X2,X1),esk136_2(X2,X1))|empty_carrier(X1)|~lattice(X1)|~in(X2,a_1_0_filter_1(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_1334, plain, (empty(X1)|in(X2,esk223_3(X1,X3,X2))|esk218_2(X1,X3)!=esk217_2(X1,X3)|~relation(X3)|~in(X2,esk221_2(X1,X3)))).
% 45.16/6.93 cnf(i_0_2596, lemma, (latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X3)|empty_carrier(X1)|~relstr_element_smaller(poset_of_lattice(X1),X3,X2)|~lattice(X1)|~element(X2,the_carrier(poset_of_lattice(X1)))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_1828, plain, (in(esk308_3(X1,X2,X3),X2)|esk305_2(X1,X2)!=esk306_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2048, plain, (esk343_2(X1,X2)=esk344_2(X1,X2)|esk349_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_562, plain, (ex_inf_of_relstr_set(X1,X2)|element(esk121_3(X1,X2,X3),the_carrier(X1))|esk122_3(X1,X2,X3)!=X3|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_248, plain, (topological_space(X1)|element(esk35_1(X1),powerset(powerset(the_carrier(X1))))|in(esk36_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_247, plain, (topological_space(X1)|element(esk35_1(X1),powerset(powerset(the_carrier(X1))))|in(esk37_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_367, plain, (element(esk69_2(X1,X2),powerset(powerset(the_carrier(X1))))|~is_a_cover_of_carrier(X1,X2)|~compact_top_space(X1)|~open_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2024, plain, (esk343_2(X1,X2)=esk345_2(X1,X2)|esk349_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_947, lemma, (X1=X2|~antisymmetric(X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3))).
% 45.16/6.93 cnf(i_0_378, plain, (subset(X1,X2)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk73_2(X1,X2),esk73_2(X1,X2)),unordered_pair(esk73_2(X1,X2),esk74_2(X1,X2))),X2))).
% 45.16/6.93 cnf(i_0_2028, plain, (esk350_3(X1,X2,X3)=X3|in(esk346_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2004, plain, (esk350_3(X1,X2,X3)=X3|in(esk347_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_199, plain, (apply(X1,unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))=apply_binary(X1,X2,X3)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_512, plain, (X1=esk102_2(X2,X3)|relstr_set_smaller(X2,X3,esk103_3(X2,X3,X1))|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 45.16/6.93 cnf(i_0_2370, lemma, (function(esk409_2(X1,X2))|in(esk407_2(X1,X2),X2)|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2371, lemma, (relation(esk409_2(X1,X2))|in(esk407_2(X1,X2),X2)|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_595, plain, (empty(X1)|empty(X2)|element(ordered_pair_as_product_element(X1,X2,X3,X4),cartesian_product2(X1,X2))|~element(X4,X2)|~element(X3,X1))).
% 45.16/6.93 cnf(i_0_1505, plain, (unordered_pair(esk240_1(X1),esk240_1(X1))=esk242_1(X1)|in(unordered_pair(X2,X2),esk243_1(X1))|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_1558, plain, (in(esk253_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk248_1(X1),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2030, plain, (esk349_3(X1,X2,X3)=X3|in(esk346_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2006, plain, (esk349_3(X1,X2,X3)=X3|in(esk347_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1598, plain, (esk272_3(X1,X2,X3)=X3|esk267_2(X1,X2)!=esk266_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1270, lemma, (in(X1,X2)|esk205_2(X3,X2)!=esk206_2(X3,X2)|~one_sorted_str(X3)|~element(X2,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk207_2(X3,X2)))).
% 45.16/6.93 cnf(i_0_1534, plain, (in(esk253_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk250_1(X1),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_530, plain, (join(X1,meet(X1,X2,X3),X3)=X3|empty_carrier(X1)|~meet_absorbing(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2541, lemma, (meet(boole_lattice(X1),X2,X3)=set_difference(X2,set_difference(X2,X3))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.93 cnf(i_0_2448, lemma, (in(X1,esk418_2(X2,X3))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~element(X1,powerset(the_carrier(X2)))|~in(set_difference(cast_as_carrier_subset(X2),X1),X3))).
% 45.16/6.93 cnf(i_0_2521, lemma, (relstr_element_smaller(X1,X2,esk426_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2258, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(esk389_2(X1,X2),X1)|in(esk384_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_218, plain, (X1=X2|~function(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X3))).
% 45.16/6.93 cnf(i_0_1758, plain, (esk300_4(X1,X2,X3,X4)=X4|esk294_2(X1,X2)!=esk293_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_1855, plain, (esk318_4(X1,X2,X3,X4)=X4|esk312_2(X1,X2)!=esk311_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_2259, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(esk389_2(X1,X2),X1)|in(esk384_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_137, plain, (in(apply(X1,X2),relation_image(X1,X3))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1))|~in(X2,X3))).
% 45.16/6.93 cnf(i_0_557, plain, (ex_inf_of_relstr_set(X1,X2)|element(esk122_3(X1,X2,X3),the_carrier(X1))|~related(X1,esk121_3(X1,X2,X3),X3)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_669, plain, (empty(X1)|element(apply_as_element(X1,X2,X3,X4),X2)|~quasi_total(X3,X1,X2)|~relation_of2(X3,X1,X2)|~function(X3)|~element(X4,X1))).
% 45.16/6.93 cnf(i_0_387, plain, (X1=empty_set|disjoint(fiber(X2,esk76_3(X2,X3,X1)),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 45.16/6.93 cnf(i_0_439, plain, (X1=relation_rng(X2)|in(esk91_2(X2,X1),relation_dom(X2))|in(esk90_2(X2,X1),X1)|~relation(X2)|~function(X2))).
% 45.16/6.93 cnf(i_0_217, plain, (function(X1)|in(unordered_pair(unordered_pair(esk28_1(X1),esk28_1(X1)),unordered_pair(esk28_1(X1),esk29_1(X1))),X1))).
% 45.16/6.93 cnf(i_0_236, plain, (topological_space(X1)|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk36_1(X1),esk37_1(X1)),the_topology(X1))|~in(union_of_subsets(the_carrier(X1),esk35_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_1118, plain, (apply_as_element(X1,X2,X3,X4)=apply(X3,X4)|empty(X1)|~quasi_total(X3,X1,X2)|~relation_of2(X3,X1,X2)|~function(X3)|~element(X4,X1))).
% 45.16/6.93 cnf(i_0_189, plain, (X1=bottom_of_semilattstr(X2)|empty_carrier(X2)|meet(X2,X1,esk24_2(X2,X1))!=X1|meet(X2,esk24_2(X2,X1),X1)!=X1|~lower_bounded_semilattstr(X2)|~meet_semilatt_str(X2)|~element(X1,the_carrier(X2)))).
% 45.16/6.93 cnf(i_0_2563, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(X3,relation_dom(X1)))).
% 45.16/6.93 cnf(i_0_216, plain, (function(X1)|in(unordered_pair(unordered_pair(esk28_1(X1),esk28_1(X1)),unordered_pair(esk28_1(X1),esk30_1(X1))),X1))).
% 45.16/6.93 cnf(i_0_1315, lemma, (X1=empty_set|in(esk214_2(X2,X1),X1)|in(esk210_0,omega)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 45.16/6.93 cnf(i_0_2444, lemma, (closed_subset(esk417_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk416_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1323, lemma, (X1=empty_set|being_limit_ordinal(esk210_0)|in(esk214_2(X2,X1),X1)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 45.16/6.93 cnf(i_0_2585, lemma, (relstr_element_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))|empty_carrier(X1)|~latt_set_smaller(X1,X3,X2)|~lattice(X1)|~element(X3,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2257, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk389_2(X1,X2),X1)|in(esk384_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_1125, plain, (below_refl(X1,X2,X3)|empty_carrier(X1)|~below(X1,X2,X3)|~join_absorbing(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_1217, lemma, (X1=unordered_pair(X2,X2)|in(esk195_1(X3),X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk198_1(X3)))).
% 45.16/6.93 cnf(i_0_329, plain, (esk59_3(X1,X2,X3)=X1|esk59_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk59_3(X1,X2,X3),X3))).
% 45.16/6.93 cnf(i_0_510, plain, (ex_sup_of_relstr_set(X1,X2)|element(esk105_3(X1,X2,X3),the_carrier(X1))|element(esk104_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2369, lemma, (relation_dom(esk409_2(X1,X2))=X2|in(esk407_2(X1,X2),X2)|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2564, lemma, (below(X1,meet_commut(X1,X2,X3),X2)|empty_carrier(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2701, lemma, (subset(X1,esk448_3(X2,X1,X3))|in(X3,topstr_closure(X2,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,the_carrier(X2)))).
% 45.16/6.93 cnf(i_0_356, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_2059, lemma, (unordered_pair(esk357_3(X1,X2,X3),esk357_3(X1,X2,X3))=esk358_3(X1,X2,X3)|~in(X3,esk356_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2132, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(esk389_2(X1,X2),X1)|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2133, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(esk389_2(X1,X2),X1)|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2047, plain, (esk343_2(X1,X2)=esk344_2(X1,X2)|ordinal(esk350_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2023, plain, (esk343_2(X1,X2)=esk345_2(X1,X2)|ordinal(esk350_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_354, plain, (X1=cartesian_product2(X2,X3)|in(esk67_3(X2,X3,X1),X2)|in(esk66_3(X2,X3,X1),X1))).
% 45.16/6.93 cnf(i_0_2702, lemma, (closed_subset(esk448_3(X1,X2,X3),X1)|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_106, plain, (join_commut(X1,X2,X3)=join_commut(X1,X3,X2)|empty_carrier(X1)|~join_semilatt_str(X1)|~join_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_108, plain, (meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_2446, lemma, (element(esk417_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk416_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_353, plain, (X1=cartesian_product2(X2,X3)|in(esk68_3(X2,X3,X1),X3)|in(esk66_3(X2,X3,X1),X1))).
% 45.16/6.93 cnf(i_0_2039, plain, (ordinal(esk346_2(X1,X2))|in(esk350_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2015, plain, (ordinal(esk347_2(X1,X2))|in(esk350_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2029, plain, (ordinal(esk350_3(X1,X2,X3))|in(esk346_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2005, plain, (ordinal(esk350_3(X1,X2,X3))|in(esk347_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_433, plain, (X1=set_difference(X2,X3)|in(esk88_3(X2,X3,X1),X2)|in(esk88_3(X2,X3,X1),X1))).
% 45.16/6.93 cnf(i_0_1582, plain, (in(esk260_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|esk257_1(X1)!=esk258_1(X1)|~ordinal(X1)|~in(X2,esk259_1(X1)))).
% 45.16/6.93 cnf(i_0_2429, lemma, (X1=empty_set|element(esk412_0,powerset(powerset(esk410_0)))|in(esk414_2(X2,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 45.16/6.93 cnf(i_0_2080, lemma, (in(X1,esk366_2(X2,X3))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~in(X1,powerset(the_carrier(X2))))).
% 45.16/6.93 cnf(i_0_264, plain, (X1=set_meet(X2)|X2=empty_set|in(esk43_2(X2,X1),X1)|in(esk43_2(X2,X1),X3)|~in(X3,X2))).
% 45.16/6.93 cnf(i_0_1591, plain, (esk261_2(X1,X2)=X2|epred2_3(esk258_1(X1),esk257_1(X1),esk256_1(X1))|~ordinal(X1)|~in(X2,esk259_1(X1)))).
% 45.16/6.93 cnf(i_0_1597, plain, (closed_subset(esk272_3(X1,X2,X3),X1)|esk267_2(X1,X2)!=esk266_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_300, plain, (X1=join_of_latt_set(X2,X3)|empty_carrier(X2)|~complete_latt_str(X2)|~latt_element_smaller(X2,X1,X3)|~below(X2,X1,esk52_3(X2,X3,X1))|~lattice(X2)|~element(X1,the_carrier(X2))|~latt_str(X2))).
% 45.16/6.93 cnf(i_0_2653, lemma, (X1=meet_of_latt_set(X2,X3)|empty_carrier(X2)|~below_refl(X2,esk443_3(X2,X1,X3),X1)|~complete_latt_str(X2)|~latt_set_smaller(X2,X1,X3)|~lattice(X2)|~element(X1,the_carrier(X2))|~latt_str(X2))).
% 45.16/6.93 cnf(i_0_404, plain, (X1=relation_dom(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(esk80_2(X2,X1),X3),unordered_pair(esk80_2(X2,X1),esk80_2(X2,X1))),X2)|~in(esk80_2(X2,X1),X1))).
% 45.16/6.93 cnf(i_0_1593, plain, (esk260_2(X1,X2)=X2|epred2_3(esk258_1(X1),esk257_1(X1),esk256_1(X1))|~ordinal(X1)|~in(X2,esk259_1(X1)))).
% 45.16/6.93 cnf(i_0_2703, lemma, (element(esk448_3(X1,X2,X3),powerset(the_carrier(X1)))|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_carrier(X1)))).
% 45.16/6.93 cnf(i_0_2639, lemma, (below_refl(X1,X2,X3)|empty_carrier(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2293, lemma, (relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk402_3(X1,X2,X3))!=X3|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2426, lemma, (X1=esk414_2(X2,X3)|X3=empty_set|esk412_0!=empty_set|~subset(esk414_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_2240, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|function(esk391_2(X1,X2))|empty(X1)|in(esk389_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2550, lemma, (in(X1,relation_dom(relation_composition(X2,X3)))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(apply(X2,X1),relation_dom(X3))|~in(X1,relation_dom(X2)))).
% 45.16/6.93 cnf(i_0_2108, lemma, (in(X1,esk381_3(X2,X3,X4))|~relation(X4)|~function(X4)|~element(X3,powerset(powerset(X2)))|~in(X1,powerset(relation_dom(X4)))|~in(relation_image(X4,X1),X3))).
% 45.16/6.93 cnf(i_0_1977, plain, (in(relation_image(X1,X2),X3)|esk340_3(X4,X3,X1)!=esk339_3(X4,X3,X1)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk341_3(X4,X3,X1)))).
% 45.16/6.93 cnf(i_0_241, plain, (topological_space(X1)|subset(esk35_1(X1),the_topology(X1))|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk36_1(X1),esk37_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_2421, lemma, (X1=empty_set|in(esk414_2(X2,X1),X1)|esk413_1(X3)!=X3|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk412_0)|~in(X2,omega))).
% 45.16/6.93 cnf(i_0_1666, plain, (esk265_2(X1,X2)=esk266_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2241, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|relation(esk391_2(X1,X2))|empty(X1)|in(esk389_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_1592, plain, (epred2_3(esk258_1(X1),esk257_1(X1),esk256_1(X1))|ordinal(esk261_2(X1,X2))|~ordinal(X1)|~in(X2,esk259_1(X1)))).
% 45.16/6.93 cnf(i_0_1631, plain, (esk265_2(X1,X2)=esk267_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1652, plain, (esk268_2(X1,X2)=esk266_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1617, plain, (esk269_2(X1,X2)=esk267_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1549, plain, (unordered_pair(esk248_1(X1),esk248_1(X1))=esk249_1(X1)|in(esk254_3(X1,X2,X3),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_246, plain, (topological_space(X1)|element(esk35_1(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk36_1(X1),esk37_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 45.16/6.93 cnf(i_0_1638, plain, (subset(X1,esk266_2(X2,X1))|subset(X1,X3)|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk270_2(X2,X1)))).
% 45.16/6.93 cnf(i_0_1603, plain, (subset(X1,esk267_2(X2,X1))|subset(X1,X3)|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk270_2(X2,X1)))).
% 45.16/6.93 cnf(i_0_2186, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|function(esk391_2(X1,X2))|empty(X1)|in(esk389_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_1525, plain, (unordered_pair(esk250_1(X1),esk250_1(X1))=esk251_1(X1)|in(esk254_3(X1,X2,X3),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1645, plain, (closed_subset(esk268_2(X1,X2),X1)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1610, plain, (closed_subset(esk269_2(X1,X2),X1)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2800, lemma, (below_refl(X1,X2,X3)|empty_carrier(X1)|~related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_259, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~is_reflexive_in(X2,X3)|~relation(X2)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_2759, lemma, (X1=empty_set|in(unordered_pair(unordered_pair(esk455_1(X1),esk455_1(X1)),unordered_pair(esk455_1(X1),esk456_1(X1))),X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_1313, lemma, (X1=empty_set|element(esk212_0,powerset(powerset(esk210_0)))|in(esk214_2(X2,X1),X1)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 45.16/6.93 cnf(i_0_2131, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk389_2(X1,X2),X1)|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2260, lemma, (apply(esk397_1(X1),X2)=unordered_pair(X2,X2)|esk395_1(X1)!=esk394_1(X1)|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_2187, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|relation(esk391_2(X1,X2))|empty(X1)|in(esk389_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2862, plain, (epred1_0|element(esk465_0,powerset(powerset(set_union2(esk463_0,unordered_pair(esk463_0,esk463_0)))))|in(esk462_1(X1),esk461_0)|~in(X1,esk461_0))).
% 45.16/6.93 cnf(i_0_1978, plain, (esk342_4(X1,X2,X3,X4)=X4|esk340_3(X1,X2,X3)!=esk339_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk341_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_908, plain, (empty_carrier(X1)|in(X2,a_2_3_lattice3(X1,X3))|~complete_latt_str(X1)|~latt_set_smaller(X1,X2,X3)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2853, plain, (epred1_0|subset(X1,esk462_1(X1))|element(esk465_0,powerset(powerset(set_union2(esk463_0,unordered_pair(esk463_0,esk463_0)))))|~in(X1,esk461_0))).
% 45.16/6.93 cnf(i_0_2111, lemma, (in(X1,esk382_2(X2,X3))|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_1378, plain, (esk219_2(X1,X2)=esk216_2(X1,X2)|empty(X1)|in(esk222_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1354, plain, (esk220_2(X1,X2)=esk216_2(X1,X2)|empty(X1)|in(esk222_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2696, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|in(esk447_2(X1,X2),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2239, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk389_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_1473, plain, (esk228_2(X1,X2)=esk230_2(X1,X2)|esk235_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_1360, plain, (empty(X1)|in(esk222_3(X1,X2,X3),X1)|in(esk216_2(X1,X2),X1)|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1195, lemma, (esk190_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1163, lemma, (esk191_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1419, plain, (esk231_2(X1,X2)=esk233_2(X1,X2)|esk235_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_2418, lemma, (function(esk409_2(X1,X2))|in(esk407_2(X1,X2),X2)|in(esk404_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2419, lemma, (relation(esk409_2(X1,X2))|in(esk407_2(X1,X2),X2)|in(esk404_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_1659, plain, (subset(X1,X2)|element(esk268_2(X3,X1),powerset(the_carrier(X3)))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk270_2(X3,X1)))).
% 45.16/6.93 cnf(i_0_1624, plain, (subset(X1,X2)|element(esk269_2(X3,X1),powerset(the_carrier(X3)))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk270_2(X3,X1)))).
% 45.16/6.93 cnf(i_0_2185, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk389_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2045, plain, (esk343_2(X1,X2)=esk344_2(X1,X2)|in(esk350_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2085, lemma, (in(esk368_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk367_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1316, lemma, (X1=esk214_2(X2,X3)|X3=empty_set|esk210_0!=empty_set|~epred1_0|~subset(esk214_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_1310, lemma, (X1=esk214_2(X2,X3)|X3=empty_set|esk212_0!=empty_set|~epred1_0|~subset(esk214_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_2797, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_composition(identity_relation(X4),X3)))).
% 45.16/6.93 cnf(i_0_2021, plain, (esk343_2(X1,X2)=esk345_2(X1,X2)|in(esk350_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_578, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),the_InternalRel(X3))|~related(X3,X1,X2)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3))|~rel_str(X3))).
% 45.16/6.93 cnf(i_0_2302, lemma, (function(esk403_2(X1,X2))|element(esk402_3(X1,X2,X3),powerset(the_carrier(X1)))|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2366, lemma, (function(esk409_2(X1,X2))|element(esk408_3(X1,X2,X3),powerset(the_carrier(X1)))|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2303, lemma, (relation(esk403_2(X1,X2))|element(esk402_3(X1,X2,X3),powerset(the_carrier(X1)))|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2033, plain, (esk346_2(X1,X2)=esk344_2(X1,X2)|in(esk350_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_391, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk78_3(X2,X3,X1),X1)|~in(esk78_3(X2,X3,X1),X3)|~in(esk78_3(X2,X3,X1),X2))).
% 45.16/6.93 cnf(i_0_2009, plain, (esk347_2(X1,X2)=esk345_2(X1,X2)|in(esk350_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2367, lemma, (relation(esk409_2(X1,X2))|element(esk408_3(X1,X2,X3),powerset(the_carrier(X1)))|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_1599, plain, (element(esk272_3(X1,X2,X3),powerset(the_carrier(X1)))|esk267_2(X1,X2)!=esk266_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_506, plain, (relstr_set_smaller(X1,X2,esk104_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|element(esk105_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_509, plain, (relstr_set_smaller(X1,X2,esk105_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|element(esk104_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_438, plain, (apply(X1,esk91_2(X1,X2))=esk90_2(X1,X2)|X2=relation_rng(X1)|in(esk90_2(X1,X2),X2)|~relation(X1)|~function(X1))).
% 45.16/6.93 cnf(i_0_935, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk140_1(X1),esk140_1(X1)),unordered_pair(esk140_1(X1),esk141_1(X1))),X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_1138, lemma, (esk193_4(X1,X2,X3,X4)=X3|empty(X1)|esk189_2(X1,X2)!=esk188_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2027, plain, (in(esk350_3(X1,X2,X3),X1)|in(esk346_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2003, plain, (in(esk350_3(X1,X2,X3),X1)|in(esk347_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1673, plain, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|esk275_2(X1,X3)!=esk274_2(X1,X3)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))|~in(X2,esk276_2(X1,X3)))).
% 45.16/6.93 cnf(i_0_934, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk141_1(X1),esk141_1(X1)),unordered_pair(esk141_1(X1),esk142_1(X1))),X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2882, plain, (X1=esk464_1(X2)|X2=empty_set|epred1_0|element(esk461_0,powerset(powerset(empty_set)))|~subset(esk464_1(X2),X1)|~element(X2,powerset(powerset(esk463_0)))|~in(esk463_0,omega)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_1305, lemma, (X1=empty_set|in(esk214_2(X2,X1),X1)|esk213_1(X3)!=X3|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk212_0)|~in(X2,omega))).
% 45.16/6.93 cnf(i_0_565, plain, (ex_inf_of_relstr_set(X1,X2)|element(esk122_3(X1,X2,X3),the_carrier(X1))|element(esk121_3(X1,X2,X3),the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2436, lemma, (X1=esk414_2(X2,X3)|X3=empty_set|ordinal(esk410_0)|~subset(esk414_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_946, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk144_1(X1),esk144_1(X1)),unordered_pair(esk144_1(X1),esk145_1(X1))),X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_1390, plain, (empty(X1)|in(esk236_4(X1,X2,X3,X4),X1)|esk227_2(X1,X2)!=esk226_2(X1,X2)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_1853, plain, (in(esk319_4(X1,X2,X3,X4),X2)|esk312_2(X1,X2)!=esk311_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_2063, lemma, (in(X1,esk359_1(X2))|esk363_4(X2,X1,X1,X3)!=X3|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk362_3(X2,X1,X1)))).
% 45.16/6.93 cnf(i_0_945, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk144_1(X1),esk145_1(X1)),unordered_pair(esk145_1(X1),esk145_1(X1))),X1)|~relation(X1))).
% 45.16/6.93 cnf(i_0_2417, lemma, (relation_dom(esk409_2(X1,X2))=X2|in(esk407_2(X1,X2),X2)|in(esk404_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2365, lemma, (relation_dom(esk409_2(X1,X2))=X2|element(esk408_3(X1,X2,X3),powerset(the_carrier(X1)))|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_122, plain, (X1=meet_on_relstr(X2,X3)|relstr_element_smaller(X2,X3,esk3_3(X2,X3,X1))|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 45.16/6.93 cnf(i_0_567, plain, (X1=esk119_2(X2,X3)|relstr_element_smaller(X2,X3,esk120_3(X2,X3,X1))|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 45.16/6.93 cnf(i_0_1377, plain, (esk222_3(X1,X2,X3)=esk223_3(X1,X2,X3)|esk219_2(X1,X2)=esk216_2(X1,X2)|empty(X1)|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1353, plain, (esk222_3(X1,X2,X3)=esk223_3(X1,X2,X3)|esk220_2(X1,X2)=esk216_2(X1,X2)|empty(X1)|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2787, lemma, (X1=empty_set|in(apply(X2,X3),relation_rng(X2))|~relation_of2_as_subset(X2,X4,X1)|~quasi_total(X2,X4,X1)|~function(X2)|~in(X3,X4))).
% 45.16/6.93 cnf(i_0_1574, plain, (in(X1,esk259_1(X2))|esk263_3(X2,X1,X1)!=empty_set|esk257_1(X2)!=esk258_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 45.16/6.93 cnf(i_0_390, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk78_3(X2,X3,X1),X2)|in(esk78_3(X2,X3,X1),X1))).
% 45.16/6.93 cnf(i_0_2846, plain, (X1=esk464_1(X2)|X2=empty_set|epred1_0|esk462_1(X3)!=X3|~subset(esk464_1(X2),X1)|~element(X2,powerset(powerset(esk463_0)))|~in(esk463_0,omega)|~in(X3,esk461_0)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_1838, plain, (in(esk308_3(X1,X2,X3),X2)|in(esk304_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_398, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,apply(X2,X1))),X2)|~relation(X2)|~function(X2)|~in(X1,relation_dom(X2)))).
% 45.16/6.93 cnf(i_0_2222, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(esk385_2(X1,X2),esk387_2(X1,X2))|in(esk389_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_1824, plain, (in(X1,esk307_2(X2,X3))|subset_complement(the_carrier(X2),esk309_4(X2,X3,X1,X4))!=X1|esk305_2(X2,X3)!=esk306_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X4,X3))).
% 45.16/6.93 cnf(i_0_547, plain, (X1=complements_of_subsets(X2,X3)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2)))|~in(subset_complement(X2,esk118_3(X2,X3,X1)),X3)|~in(esk118_3(X2,X3,X1),X1))).
% 45.16/6.93 cnf(i_0_2560, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(esk428_3(X2,X1,X3),X4),unordered_pair(esk428_3(X2,X1,X3),esk428_3(X2,X1,X3))),X3))).
% 45.16/6.93 cnf(i_0_285, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(X1,fiber(X3,X2)))).
% 45.16/6.93 cnf(i_0_558, plain, (relstr_element_smaller(X1,X2,esk121_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|esk122_3(X1,X2,X3)!=X3|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_505, plain, (relstr_set_smaller(X1,X2,esk105_3(X1,X2,X3))|relstr_set_smaller(X1,X2,esk104_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_501, plain, (relstr_set_smaller(X1,X2,esk105_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~related(X1,X3,esk104_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.93 cnf(i_0_2168, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(esk386_2(X1,X2),esk388_2(X1,X2))|in(esk389_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_151, plain, (X1=relation_inverse_image(X2,X3)|~relation(X2)|~function(X2)|~in(apply(X2,esk11_3(X2,X3,X1)),X3)|~in(esk11_3(X2,X3,X1),relation_dom(X2))|~in(esk11_3(X2,X3,X1),X1))).
% 45.16/6.93 cnf(i_0_173, plain, (X1=relation_image(X2,X3)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,esk18_3(X2,X3,X1)),unordered_pair(X4,X4)),X2)|~in(esk18_3(X2,X3,X1),X1)|~in(X4,X3))).
% 45.16/6.93 cnf(i_0_1695, plain, (esk284_3(X1,X2,X3)=X3|esk280_2(X1,X2)!=esk279_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2223, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(esk385_2(X1,X2),esk387_2(X1,X2))|in(esk389_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2091, lemma, (in(esk370_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk369_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_549, plain, (in(X1,complements_of_subsets(X2,X3))|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2))|~in(subset_complement(X2,X1),X3))).
% 45.16/6.93 cnf(i_0_1324, lemma, (X1=esk214_2(X2,X3)|X3=empty_set|ordinal(esk210_0)|~epred1_0|~subset(esk214_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_1206, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk198_1(X2))|esk197_1(X2)!=esk196_1(X2)|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_2169, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(esk386_2(X1,X2),esk388_2(X1,X2))|in(esk389_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2751, lemma, (in(apply(function_inverse(X1),X2),relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 45.16/6.93 cnf(i_0_2707, lemma, (X1=empty_set|in(X2,relation_inverse_image(X3,X4))|~relation_of2_as_subset(X3,X5,X1)|~quasi_total(X3,X5,X1)|~function(X3)|~in(apply(X3,X2),X4)|~in(X2,X5))).
% 45.16/6.93 cnf(i_0_171, plain, (X1=relation_image(X2,X3)|in(esk19_3(X2,X3,X1),X3)|in(esk18_3(X2,X3,X1),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_115, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),identity_relation(X2))|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_2865, plain, (X1=empty_set|epred1_0|in(esk462_1(X2),esk461_0)|in(esk464_1(X1),X1)|~element(X1,powerset(powerset(esk463_0)))|~in(esk463_0,omega)|~in(X2,esk461_0))).
% 45.16/6.93 cnf(i_0_2856, plain, (X1=empty_set|epred1_0|subset(X2,esk462_1(X2))|in(esk464_1(X1),X1)|~element(X1,powerset(powerset(esk463_0)))|~in(esk463_0,omega)|~in(X2,esk461_0))).
% 45.16/6.93 cnf(i_0_302, plain, (X1=join_of_latt_set(X2,X3)|empty_carrier(X2)|element(esk52_3(X2,X3,X1),the_carrier(X2))|~complete_latt_str(X2)|~latt_element_smaller(X2,X1,X3)|~lattice(X2)|~element(X1,the_carrier(X2))|~latt_str(X2))).
% 45.16/6.93 cnf(i_0_177, plain, (X1=relation_inverse_image(X2,X3)|in(esk22_3(X2,X3,X1),X3)|in(esk21_3(X2,X3,X1),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2748, lemma, (apply(function_inverse(X1),apply(X1,X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 45.16/6.93 cnf(i_0_2221, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk385_2(X1,X2),esk387_2(X1,X2))|in(esk389_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2655, lemma, (X1=meet_of_latt_set(X2,X3)|empty_carrier(X2)|element(esk443_3(X2,X1,X3),the_carrier(X2))|~complete_latt_str(X2)|~latt_set_smaller(X2,X1,X3)|~lattice(X2)|~element(X1,the_carrier(X2))|~latt_str(X2))).
% 45.16/6.93 cnf(i_0_901, plain, (ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),esk135_2(X2,X1),esk136_2(X2,X1))=X2|empty_carrier(X1)|~lattice(X1)|~in(X2,a_1_0_filter_1(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_2306, lemma, (function(esk403_2(X1,X2))|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2307, lemma, (relation(esk403_2(X1,X2))|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2058, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk356_2(X2,X3))|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 45.16/6.93 cnf(i_0_2167, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk386_2(X1,X2),esk388_2(X1,X2))|in(esk389_2(X1,X2),X1)|~relation(X2))).
% 45.16/6.93 cnf(i_0_2704, lemma, (in(X1,X2)|~closed_subset(X2,X3)|~top_str(X3)|~subset(X4,X2)|~element(X2,powerset(the_carrier(X3)))|~element(X4,powerset(the_carrier(X3)))|~in(X1,topstr_closure(X3,X4))|~in(X1,the_carrier(X3)))).
% 45.16/6.93 cnf(i_0_1667, plain, (esk265_2(X1,X2)=esk266_2(X1,X2)|closed_subset(esk272_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1566, plain, (unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3))=esk255_3(X1,X2,X3)|esk245_1(X1)=esk246_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2430, lemma, (X1=esk414_2(X2,X3)|X3=empty_set|in(esk410_0,omega)|~subset(esk414_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_1601, plain, (in(esk271_3(X1,X2,X3),powerset(the_carrier(X1)))|esk267_2(X1,X2)!=esk266_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1632, plain, (esk265_2(X1,X2)=esk267_2(X1,X2)|closed_subset(esk272_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1653, plain, (esk268_2(X1,X2)=esk266_2(X1,X2)|closed_subset(esk272_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2284, lemma, (apply(esk397_1(X1),X2)=unordered_pair(X2,X2)|in(esk393_1(X1),X1)|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_1618, plain, (esk269_2(X1,X2)=esk267_2(X1,X2)|closed_subset(esk272_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2001, plain, (in(esk349_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|esk345_2(X1,X2)!=esk344_2(X1,X2)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1389, plain, (esk238_4(X1,X2,X3,X4)=esk236_4(X1,X2,X3,X4)|empty(X1)|esk227_2(X1,X2)!=esk226_2(X1,X2)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_1542, plain, (unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3))=esk255_3(X1,X2,X3)|esk245_1(X1)=esk247_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_303, plain, (below(X1,join_of_latt_set(X1,X2),X3)|empty_carrier(X1)|~complete_latt_str(X1)|~latt_element_smaller(X1,X3,X2)|~lattice(X1)|~element(X3,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_1223, lemma, (unordered_pair(esk195_1(X1),esk195_1(X1))=esk196_1(X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk198_1(X1)))).
% 45.16/6.93 cnf(i_0_1213, lemma, (unordered_pair(esk195_1(X1),esk195_1(X1))=esk197_1(X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk198_1(X1)))).
% 45.16/6.93 cnf(i_0_2406, lemma, (function(esk409_2(X1,X2))|in(esk404_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk408_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_2276, lemma, (unordered_pair(esk393_1(X1),esk393_1(X1))=esk394_1(X1)|apply(esk397_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_2656, lemma, (below_refl(X1,X2,meet_of_latt_set(X1,X3))|empty_carrier(X1)|~complete_latt_str(X1)|~latt_set_smaller(X1,X2,X3)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_1518, plain, (unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3))=esk255_3(X1,X2,X3)|esk247_1(X1)!=esk246_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1235, lemma, (in(X1,complements_of_subsets(the_carrier(X2),X3))|esk200_2(X2,X3)!=esk201_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk202_2(X2,X3)))).
% 45.16/6.93 cnf(i_0_2511, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk424_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 45.16/6.93 cnf(i_0_2407, lemma, (relation(esk409_2(X1,X2))|in(esk404_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk408_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.93 cnf(i_0_1660, plain, (closed_subset(esk272_3(X1,X2,X3),X1)|element(esk268_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1625, plain, (closed_subset(esk272_3(X1,X2,X3),X1)|element(esk269_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1670, plain, (esk265_2(X1,X2)=esk266_2(X1,X2)|esk271_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2268, lemma, (unordered_pair(esk393_1(X1),esk393_1(X1))=esk395_1(X1)|apply(esk397_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 45.16/6.93 cnf(i_0_136, plain, (X1=relation_image(X2,X3)|esk7_3(X2,X3,X1)!=apply(X2,X4)|~relation(X2)|~function(X2)|~in(esk7_3(X2,X3,X1),X1)|~in(X4,relation_dom(X2))|~in(X4,X3))).
% 45.16/6.93 cnf(i_0_1393, plain, (empty(X1)|in(esk235_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|esk227_2(X1,X2)!=esk226_2(X1,X2)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_2053, lemma, (empty(X1)|in(esk353_4(X1,X2,X3,X4),esk354_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk351_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_2420, lemma, (X1=esk414_2(X2,X3)|X3=empty_set|esk413_1(X4)!=X4|~subset(esk414_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk412_0)|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.93 cnf(i_0_1376, plain, (esk219_2(X1,X2)=esk216_2(X1,X2)|empty(X1)|in(X3,esk223_3(X1,X2,X3))|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1635, plain, (esk265_2(X1,X2)=esk267_2(X1,X2)|esk271_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1656, plain, (esk268_2(X1,X2)=esk266_2(X1,X2)|esk271_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1621, plain, (esk269_2(X1,X2)=esk267_2(X1,X2)|esk271_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1668, plain, (esk265_2(X1,X2)=esk266_2(X1,X2)|esk272_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2747, lemma, (X1=function_inverse(X2)|in(esk454_2(X2,X1),relation_dom(X2))|in(esk451_2(X2,X1),relation_rng(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 45.16/6.93 cnf(i_0_1352, plain, (esk220_2(X1,X2)=esk216_2(X1,X2)|empty(X1)|in(X3,esk223_3(X1,X2,X3))|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_355, plain, (X1=cartesian_product2(X2,X3)|esk66_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk66_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))).
% 45.16/6.93 cnf(i_0_1727, plain, (in(X1,esk289_2(X2,X3))|subset_complement(the_carrier(X2),esk291_4(X2,X3,X1,X4))!=X1|esk287_2(X2,X3)!=esk288_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X4,complements_of_subsets(the_carrier(X2),X3)))).
% 45.16/6.93 cnf(i_0_2084, lemma, (set_difference(esk368_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk367_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1500, plain, (esk225_2(X1,X2)=esk226_2(X1,X2)|esk235_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_550, plain, (in(subset_complement(X1,X2),X3)|~element(X3,powerset(powerset(X1)))|~in(X2,complements_of_subsets(X1,X3)))).
% 45.16/6.93 cnf(i_0_1633, plain, (esk265_2(X1,X2)=esk267_2(X1,X2)|esk272_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1654, plain, (esk268_2(X1,X2)=esk266_2(X1,X2)|esk272_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1619, plain, (esk269_2(X1,X2)=esk267_2(X1,X2)|esk272_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_2744, lemma, (apply(X1,esk451_2(X2,X1))=esk452_2(X2,X1)|X1=function_inverse(X2)|in(esk454_2(X2,X1),relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 45.16/6.93 cnf(i_0_1446, plain, (esk225_2(X1,X2)=esk227_2(X1,X2)|esk235_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.93 cnf(i_0_1358, plain, (empty(X1)|in(X2,esk223_3(X1,X3,X2))|in(esk216_2(X1,X3),X1)|~relation(X3)|~in(X2,esk221_2(X1,X3)))).
% 45.16/6.93 cnf(i_0_434, plain, (X1=set_difference(X2,X3)|in(esk88_3(X2,X3,X1),X3)|~in(esk88_3(X2,X3,X1),X1)|~in(esk88_3(X2,X3,X1),X2))).
% 45.16/6.93 cnf(i_0_1642, plain, (esk271_3(X1,X2,X3)=X3|subset(X2,esk266_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1554, plain, (unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3))=esk255_3(X1,X2,X3)|in(esk248_1(X1),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1607, plain, (esk271_3(X1,X2,X3)=X3|subset(X2,esk267_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1640, plain, (esk272_3(X1,X2,X3)=X3|subset(X2,esk266_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1605, plain, (esk272_3(X1,X2,X3)=X3|subset(X2,esk267_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_899, plain, (empty_carrier(X1)|in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),a_1_0_filter_1(X1))|~below_refl(X1,X2,X3)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.93 cnf(i_0_1530, plain, (unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3))=esk255_3(X1,X2,X3)|in(esk250_1(X1),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1649, plain, (esk271_3(X1,X2,X3)=X3|closed_subset(esk268_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1614, plain, (esk271_3(X1,X2,X3)=X3|closed_subset(esk269_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1647, plain, (esk272_3(X1,X2,X3)=X3|closed_subset(esk268_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.93 cnf(i_0_1612, plain, (esk272_3(X1,X2,X3)=X3|closed_subset(esk269_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_313, plain, (apply_binary_as_element(the_carrier(X1),the_carrier(X1),the_carrier(X1),the_L_meet(X1),X2,X3)=meet(X1,X2,X3)|empty_carrier(X1)|~meet_semilatt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 45.16/6.94 cnf(i_0_231, plain, (apply_binary_as_element(the_carrier(X1),the_carrier(X1),the_carrier(X1),the_L_join(X1),X2,X3)=join(X1,X2,X3)|empty_carrier(X1)|~join_semilatt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 45.16/6.94 cnf(i_0_2638, lemma, (empty_carrier(X1)|in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))|~below_refl(X1,X2,X3)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.94 cnf(i_0_2301, lemma, (relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk402_3(X1,X2,X3),powerset(the_carrier(X1)))|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_406, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk79_3(X2,relation_dom(X2),X1))),X2)|~relation(X2)|~in(X1,relation_dom(X2)))).
% 45.16/6.94 cnf(i_0_1552, plain, (unordered_pair(esk248_1(X1),esk248_1(X1))=esk249_1(X1)|in(esk253_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1171, lemma, (empty(X1)|in(esk187_2(X1,X2),X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1482, plain, (esk235_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk228_2(X1,X2),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1428, plain, (esk235_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk231_2(X1,X2),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1528, plain, (unordered_pair(esk250_1(X1),esk250_1(X1))=esk251_1(X1)|in(esk253_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1675, plain, (in(esk277_3(X1,X2,X3),powerset(the_carrier(X1)))|esk275_2(X1,X2)!=esk274_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1689, plain, (esk273_2(X1,X2)=esk274_2(X1,X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1681, plain, (esk273_2(X1,X2)=esk275_2(X1,X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1314, lemma, (X1=esk214_2(X2,X3)|X3=empty_set|in(esk210_0,omega)|~epred1_0|~subset(esk214_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_2746, lemma, (apply(X1,esk454_2(X1,X2))=esk453_2(X1,X2)|X2=function_inverse(X1)|in(esk451_2(X1,X2),relation_rng(X1))|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 45.16/6.94 cnf(i_0_2043, plain, (ordinal(esk346_2(X1,X2))|in(esk349_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1694, plain, (in(esk285_3(X1,X2,X3),X2)|esk280_2(X1,X2)!=esk279_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1322, lemma, (X1=esk214_2(X2,X3)|X3=empty_set|being_limit_ordinal(esk210_0)|~epred1_0|~subset(esk214_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1194, lemma, (esk190_2(X1,X2)=esk187_2(X1,X2)|esk193_4(X1,X2,X3,X4)=X3|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1162, lemma, (esk191_2(X1,X2)=esk187_2(X1,X2)|esk193_4(X1,X2,X3,X4)=X3|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2019, plain, (ordinal(esk347_2(X1,X2))|in(esk349_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1731, plain, (in(esk290_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|esk287_2(X1,X2)!=esk288_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk289_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1663, plain, (esk271_3(X1,X2,X3)=X3|element(esk268_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1628, plain, (esk271_3(X1,X2,X3)=X3|element(esk269_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1661, plain, (esk272_3(X1,X2,X3)=X3|element(esk268_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2238, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|esk392_3(X1,X2,X3)=X3|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_134, plain, (X1=relation_image(X2,X3)|in(esk8_3(X2,X3,X1),X3)|in(esk7_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 45.16/6.94 cnf(i_0_1925, plain, (in(esk330_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|esk324_3(X1,X2,X3)!=esk323_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1304, lemma, (X1=esk214_2(X2,X3)|X3=empty_set|esk213_1(X4)!=X4|~epred1_0|~subset(esk214_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk212_0)|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1359, plain, (esk222_3(X1,X2,X3)=esk223_3(X1,X2,X3)|empty(X1)|in(esk216_2(X1,X2),X1)|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_389, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk78_3(X2,X3,X1),X3)|in(esk78_3(X2,X3,X1),X1))).
% 45.16/6.94 cnf(i_0_1626, plain, (esk272_3(X1,X2,X3)=X3|element(esk269_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2405, lemma, (relation_dom(esk409_2(X1,X2))=X2|in(esk404_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk408_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_251, plain, (in(subset_intersection2(the_carrier(X1),X2,X3),the_topology(X1))|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_topology(X1))|~in(X2,the_topology(X1)))).
% 45.16/6.94 cnf(i_0_229, plain, (apply_binary(the_L_join(boole_lattice(X1)),X2,X3)=subset_union2(X1,X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.94 cnf(i_0_2049, plain, (esk343_2(X1,X2)=esk344_2(X1,X2)|in(esk349_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_834, plain, (empty(X1)|~empty_carrier(latt_str_of(X1,X2,X3))|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~quasi_total(X2,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~function(X3)|~function(X2))).
% 45.16/6.94 cnf(i_0_1690, plain, (esk273_2(X1,X2)=esk274_2(X1,X2)|esk277_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1682, plain, (esk273_2(X1,X2)=esk275_2(X1,X2)|esk277_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_114, plain, (X1=identity_relation(X2)|esk2_2(X2,X1)!=esk1_2(X2,X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)|~in(esk1_2(X2,X1),X2))).
% 45.16/6.94 cnf(i_0_2025, plain, (esk343_2(X1,X2)=esk345_2(X1,X2)|in(esk349_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_228, plain, (apply_binary(the_L_meet(boole_lattice(X1)),X2,X3)=subset_intersection2(X1,X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 45.16/6.94 cnf(i_0_2428, lemma, (X1=esk414_2(X2,X3)|X3=empty_set|element(esk412_0,powerset(powerset(esk410_0)))|~subset(esk414_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1222, lemma, (unordered_pair(esk195_1(X1),esk195_1(X1))=esk196_1(X1)|X2=unordered_pair(X3,X3)|~in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),esk198_1(X1)))).
% 45.16/6.94 cnf(i_0_2184, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|esk392_3(X1,X2,X3)=X3|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2037, plain, (esk346_2(X1,X2)=esk344_2(X1,X2)|in(esk349_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1576, plain, (in(X1,esk259_1(X2))|in(X1,omega)|esk257_1(X2)!=esk258_1(X2)|~ordinal(X2)|~ordinal(X1)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 45.16/6.94 cnf(i_0_1212, lemma, (unordered_pair(esk195_1(X1),esk195_1(X1))=esk197_1(X1)|X2=unordered_pair(X3,X3)|~in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),esk198_1(X1)))).
% 45.16/6.94 cnf(i_0_2781, lemma, (X1=relation_dom_restriction(X2,X3)|apply(X1,esk457_3(X3,X1,X2))!=apply(X2,esk457_3(X3,X1,X2))|relation_dom(X1)!=set_difference(relation_dom(X2),set_difference(relation_dom(X2),X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 45.16/6.94 cnf(i_0_2013, plain, (esk347_2(X1,X2)=esk345_2(X1,X2)|in(esk349_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1257, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk200_2(X1,X2)|function(esk202_2(X1,X2))|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1258, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk200_2(X1,X2)|relation(esk202_2(X1,X2))|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2425, lemma, (X1=empty_set|in(esk414_2(X2,X1),X1)|in(esk413_1(X3),esk412_0)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk412_0)|~in(X2,omega))).
% 45.16/6.94 cnf(i_0_2256, lemma, (esk392_3(X1,X2,X3)=X3|in(esk389_2(X1,X2),X1)|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2070, lemma, (X1=empty_set|in(esk361_3(X2,X3,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(esk360_2(X2,X3))))|~in(esk360_2(X2,X3),omega)|~in(X3,esk359_1(X2)))).
% 45.16/6.94 cnf(i_0_556, plain, (relstr_element_smaller(X1,X2,esk122_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|~related(X1,esk121_3(X1,X2,X3),X3)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.94 cnf(i_0_1725, plain, (esk278_2(X1,X2)=esk279_2(X1,X2)|esk284_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1710, plain, (esk278_2(X1,X2)=esk280_2(X1,X2)|esk284_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1104, plain, (ordered_pair_as_product_element(X1,X2,X3,X4)=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))|empty(X1)|empty(X2)|~element(X4,X2)|~element(X3,X1))).
% 45.16/6.94 cnf(i_0_1243, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk201_2(X1,X2)|function(esk202_2(X1,X2))|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1244, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk201_2(X1,X2)|relation(esk202_2(X1,X2))|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1309, lemma, (X1=empty_set|in(esk214_2(X2,X1),X1)|in(esk213_1(X3),esk212_0)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk212_0)|~in(X2,omega))).
% 45.16/6.94 cnf(i_0_135, plain, (X1=relation_image(X2,X3)|in(esk8_3(X2,X3,X1),relation_dom(X2))|in(esk7_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 45.16/6.94 cnf(i_0_1856, plain, (in(esk318_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|esk312_2(X1,X2)!=esk311_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2130, lemma, (esk392_3(X1,X2,X3)=X3|in(esk389_2(X1,X2),X1)|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1825, plain, (esk309_4(X1,X2,X3,X4)=X4|in(X3,esk307_2(X1,X2))|esk305_2(X1,X2)!=esk306_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 45.16/6.94 cnf(i_0_150, plain, (X1=relation_inverse_image(X2,X3)|in(esk11_3(X2,X3,X1),relation_dom(X2))|in(esk11_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 45.16/6.94 cnf(i_0_1292, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk205_2(X1,X2)|function(esk207_2(X1,X2))|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1293, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk205_2(X1,X2)|relation(esk207_2(X1,X2))|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_288, plain, (inclusion_relation(relation_field(X1))=X1|~subset(esk48_2(relation_field(X1),X1),esk49_2(relation_field(X1),X1))|~relation(X1)|~in(unordered_pair(unordered_pair(esk48_2(relation_field(X1),X1),esk48_2(relation_field(X1),X1)),unordered_pair(esk48_2(relation_field(X1),X1),esk49_2(relation_field(X1),X1))),X1))).
% 45.16/6.94 cnf(i_0_256, plain, (unordered_pair(unordered_pair(esk38_2(X1,X2),esk38_2(X1,X2)),unordered_pair(esk38_2(X1,X2),esk39_2(X1,X2)))=X2|~relation(X1)|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_2442, lemma, (in(X1,esk416_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~subset(X3,X1)|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2))))).
% 45.16/6.94 cnf(i_0_2074, lemma, (in(X1,esk364_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~subset(X3,X1)|~element(X3,powerset(the_carrier(X2)))|~in(X1,powerset(the_carrier(X2))))).
% 45.16/6.94 cnf(i_0_1278, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk206_2(X1,X2)|function(esk207_2(X1,X2))|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1279, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk206_2(X1,X2)|relation(esk207_2(X1,X2))|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1216, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk198_1(X2))|in(esk195_1(X2),X2)|~in(X1,X2))).
% 45.16/6.94 cnf(i_0_2298, lemma, (esk402_3(X1,X2,X3)=esk401_2(X1,X2)|function(esk403_2(X1,X2))|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2299, lemma, (esk402_3(X1,X2,X3)=esk401_2(X1,X2)|relation(esk403_2(X1,X2))|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1498, plain, (esk225_2(X1,X2)=esk226_2(X1,X2)|empty(X1)|in(esk236_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2362, lemma, (esk408_3(X1,X2,X3)=esk407_2(X1,X2)|function(esk409_2(X1,X2))|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2363, lemma, (esk408_3(X1,X2,X3)=esk407_2(X1,X2)|relation(esk409_2(X1,X2))|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_561, plain, (relstr_element_smaller(X1,X2,esk121_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|element(esk122_3(X1,X2,X3),the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.94 cnf(i_0_564, plain, (relstr_element_smaller(X1,X2,esk122_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|element(esk121_3(X1,X2,X3),the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.94 cnf(i_0_1444, plain, (esk225_2(X1,X2)=esk227_2(X1,X2)|empty(X1)|in(esk236_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1284, lemma, (in(esk204_2(X1,X2),X2)|in(X3,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk207_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1822, plain, (esk292_2(X1,X2)=esk293_2(X1,X2)|esk300_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1790, plain, (esk292_2(X1,X2)=esk294_2(X1,X2)|esk300_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1471, plain, (esk228_2(X1,X2)=esk230_2(X1,X2)|empty(X1)|in(esk236_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2423, lemma, (X1=empty_set|subset(X2,esk413_1(X2))|in(esk414_2(X3,X1),X1)|~ordinal(X3)|~element(X1,powerset(powerset(X3)))|~in(X2,esk412_0)|~in(X3,omega))).
% 45.16/6.94 cnf(i_0_1657, plain, (esk268_2(X1,X2)=esk266_2(X1,X2)|in(esk271_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1622, plain, (esk269_2(X1,X2)=esk267_2(X1,X2)|in(esk271_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2801, lemma, (related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))|empty_carrier(X1)|~below_refl(X1,X2,X3)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 45.16/6.94 cnf(i_0_2120, lemma, (function(esk391_2(X1,X2))|empty(X1)|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1417, plain, (esk231_2(X1,X2)=esk233_2(X1,X2)|empty(X1)|in(esk236_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1919, plain, (esk310_2(X1,X2)=esk311_2(X1,X2)|esk318_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1887, plain, (esk310_2(X1,X2)=esk312_2(X1,X2)|esk318_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1903, plain, (esk318_4(X1,X2,X3,X4)=X4|in(esk313_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1871, plain, (esk318_4(X1,X2,X3,X4)=X4|in(esk315_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1312, lemma, (X1=esk214_2(X2,X3)|X3=empty_set|element(esk212_0,powerset(powerset(esk210_0)))|~epred1_0|~subset(esk214_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_2121, lemma, (relation(esk391_2(X1,X2))|empty(X1)|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1480, plain, (empty(X1)|in(esk236_4(X1,X2,X3,X4),X1)|in(esk228_2(X1,X2),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_179, plain, (X1=relation_inverse_image(X2,X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk21_3(X2,X3,X1),X4),unordered_pair(esk21_3(X2,X3,X1),esk21_3(X2,X3,X1))),X2)|~in(esk21_3(X2,X3,X1),X1)|~in(X4,X3))).
% 45.16/6.94 cnf(i_0_2069, lemma, (X1=esk361_3(X2,X3,X4)|X4=empty_set|~subset(esk361_3(X2,X3,X4),X1)|~ordinal(X2)|~element(X4,powerset(powerset(esk360_2(X2,X3))))|~in(esk360_2(X2,X3),omega)|~in(X3,esk359_1(X2))|~in(X1,X4))).
% 45.16/6.94 cnf(i_0_1426, plain, (empty(X1)|in(esk236_4(X1,X2,X3,X4),X1)|in(esk231_2(X1,X2),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_291, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),inclusion_relation(X3))|~subset(X1,X2)|~in(X2,X3)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1672, plain, (in(X1,esk276_2(X2,X3))|esk275_2(X2,X3)!=esk274_2(X2,X3)|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~in(X1,powerset(the_carrier(X2))))).
% 45.16/6.94 cnf(i_0_182, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk20_4(X2,X3,relation_inverse_image(X2,X3),X1))),X2)|~relation(X2)|~in(X1,relation_inverse_image(X2,X3)))).
% 45.16/6.94 cnf(i_0_1501, plain, (esk225_2(X1,X2)=esk226_2(X1,X2)|empty(X1)|in(esk235_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1571, plain, (in(X1,esk259_1(X2))|esk264_4(X2,X1,X1,X3)!=X3|esk257_1(X2)!=esk258_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk263_3(X2,X1,X1)))).
% 45.16/6.94 cnf(i_0_1639, plain, (closed_subset(esk272_3(X1,X2,X3),X1)|subset(X2,esk266_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1604, plain, (closed_subset(esk272_3(X1,X2,X3),X1)|subset(X2,esk267_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1447, plain, (esk225_2(X1,X2)=esk227_2(X1,X2)|empty(X1)|in(esk235_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2305, lemma, (relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2361, lemma, (esk408_3(X1,X2,X3)=esk407_2(X1,X2)|relation_dom(esk409_2(X1,X2))=X2|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1307, lemma, (X1=empty_set|subset(X2,esk213_1(X2))|in(esk214_2(X3,X1),X1)|~epred1_0|~ordinal(X3)|~element(X1,powerset(powerset(X3)))|~in(X2,esk212_0)|~in(X3,omega))).
% 45.16/6.94 cnf(i_0_166, plain, (disjoint(X1,esk14_4(X2,X1,topstr_closure(X2,X1),X3))|in(X3,topstr_closure(X2,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,the_carrier(X2)))).
% 45.16/6.94 cnf(i_0_1474, plain, (esk228_2(X1,X2)=esk230_2(X1,X2)|empty(X1)|in(esk235_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1646, plain, (closed_subset(esk272_3(X1,X2,X3),X1)|closed_subset(esk268_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1611, plain, (closed_subset(esk272_3(X1,X2,X3),X1)|closed_subset(esk269_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_301, plain, (X1=join_of_latt_set(X2,X3)|latt_element_smaller(X2,esk52_3(X2,X3,X1),X3)|empty_carrier(X2)|~complete_latt_str(X2)|~latt_element_smaller(X2,X1,X3)|~lattice(X2)|~element(X1,the_carrier(X2))|~latt_str(X2))).
% 45.16/6.94 cnf(i_0_2654, lemma, (X1=meet_of_latt_set(X2,X3)|latt_set_smaller(X2,esk443_3(X2,X1,X3),X3)|empty_carrier(X2)|~complete_latt_str(X2)|~latt_set_smaller(X2,X1,X3)|~lattice(X2)|~element(X1,the_carrier(X2))|~latt_str(X2))).
% 45.16/6.94 cnf(i_0_1420, plain, (esk231_2(X1,X2)=esk233_2(X1,X2)|empty(X1)|in(esk235_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_508, plain, (ex_sup_of_relstr_set(X1,X2)|related(X1,esk105_3(X1,X2,X3),X4)|element(esk104_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~relstr_set_smaller(X1,X2,X4)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.94 cnf(i_0_1691, plain, (esk273_2(X1,X2)=esk274_2(X1,X2)|in(esk277_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1683, plain, (esk273_2(X1,X2)=esk275_2(X1,X2)|in(esk277_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_161, plain, (X1=topstr_closure(X2,X3)|disjoint(X3,esk16_3(X2,X3,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk15_3(X2,X3,X1),X1))).
% 45.16/6.94 cnf(i_0_167, plain, (in(X1,esk14_4(X2,X3,topstr_closure(X2,X3),X1))|in(X1,topstr_closure(X2,X3))|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~in(X1,the_carrier(X2)))).
% 45.16/6.94 cnf(i_0_1483, plain, (empty(X1)|in(esk235_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk228_2(X1,X2),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1993, plain, (esk338_3(X1,X2,X3)=esk339_3(X1,X2,X3)|in(relation_image(X3,X4),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk341_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1985, plain, (esk338_3(X1,X2,X3)=esk340_3(X1,X2,X3)|in(relation_image(X3,X4),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk341_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_412, plain, (X1=X2|~is_antisymmetric_in(X3,X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~in(X2,X4)|~in(X1,X4))).
% 45.16/6.94 cnf(i_0_1954, plain, (esk322_3(X1,X2,X3)=esk323_3(X1,X2,X3)|esk330_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1429, plain, (empty(X1)|in(esk235_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk231_2(X1,X2),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_163, plain, (X1=topstr_closure(X2,X3)|open_subset(esk16_3(X2,X3,X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk15_3(X2,X3,X1),X1))).
% 45.16/6.94 cnf(i_0_590, plain, (empty_carrier(X1)|empty_carrier(X2)|element(k10_filter_1(X1,X2,X3,X4),the_carrier(k8_filter_1(X1,X2)))|~lattice(X2)|~lattice(X1)|~element(X4,the_carrier(X2))|~element(X3,the_carrier(X1))|~latt_str(X2)|~latt_str(X1))).
% 45.16/6.94 cnf(i_0_2864, plain, (X1=esk464_1(X2)|X2=empty_set|epred1_0|in(esk462_1(X3),esk461_0)|~subset(esk464_1(X2),X1)|~element(X2,powerset(powerset(esk463_0)))|~in(esk463_0,omega)|~in(X3,esk461_0)|~in(X1,X2))).
% 45.16/6.94 cnf(i_0_2855, plain, (X1=esk464_1(X2)|X2=empty_set|epred1_0|subset(X3,esk462_1(X3))|~subset(esk464_1(X2),X1)|~element(X2,powerset(powerset(esk463_0)))|~in(esk463_0,omega)|~in(X3,esk461_0)|~in(X1,X2))).
% 45.16/6.94 cnf(i_0_168, plain, (open_subset(esk14_4(X1,X2,topstr_closure(X1,X2),X3),X1)|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_carrier(X1)))).
% 45.16/6.94 cnf(i_0_2410, lemma, (esk408_3(X1,X2,X3)=esk407_2(X1,X2)|function(esk409_2(X1,X2))|in(esk404_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1939, plain, (esk322_3(X1,X2,X3)=esk324_3(X1,X2,X3)|esk330_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1696, plain, (in(esk284_3(X1,X2,X3),powerset(X1))|esk280_2(X1,X2)!=esk279_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2900, plain, (X1=empty_set|in(esk468_4(X2,X3,X4,X1),X1)|~epred2_3(X4,X3,X2)|~element(X1,powerset(powerset(esk467_3(X2,X3,X4))))|~in(esk467_3(X2,X3,X4),omega))).
% 45.16/6.94 cnf(i_0_2895, plain, (X1=empty_set|in(esk470_4(X2,X3,X4,X1),X1)|~epred2_3(X4,X3,X2)|~element(X1,powerset(powerset(esk469_3(X2,X3,X4))))|~in(esk469_3(X2,X3,X4),omega))).
% 45.16/6.94 cnf(i_0_2411, lemma, (esk408_3(X1,X2,X3)=esk407_2(X1,X2)|relation(esk409_2(X1,X2))|in(esk404_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_164, plain, (X1=topstr_closure(X2,X3)|element(esk16_3(X2,X3,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk15_3(X2,X3,X1),X1))).
% 45.16/6.94 cnf(i_0_1669, plain, (esk265_2(X1,X2)=esk266_2(X1,X2)|element(esk272_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1634, plain, (esk265_2(X1,X2)=esk267_2(X1,X2)|element(esk272_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1655, plain, (esk268_2(X1,X2)=esk266_2(X1,X2)|element(esk272_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1730, plain, (subset_complement(the_carrier(X1),esk290_3(X1,X2,X3))=X3|esk287_2(X1,X2)!=esk288_2(X1,X2)|~one_sorted_str(X1)|~element(esk290_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk289_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1370, plain, (empty(X1)|in(esk217_2(X1,X2),esk219_2(X1,X2))|in(X3,esk223_3(X1,X2,X3))|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1137, lemma, (empty(X1)|in(X2,esk193_4(X1,X3,X4,X2))|esk189_2(X1,X3)!=esk188_2(X1,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),esk192_2(X1,X3)))).
% 45.16/6.94 cnf(i_0_588, plain, (latt_str(latt_str_of(X1,X2,X3))|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~quasi_total(X2,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~function(X3)|~function(X2))).
% 45.16/6.94 cnf(i_0_589, plain, (strict_latt_str(latt_str_of(X1,X2,X3))|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~quasi_total(X2,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~function(X3)|~function(X2))).
% 45.16/6.94 cnf(i_0_1388, plain, (empty(X1)|in(esk237_4(X1,X2,X3,X4),esk238_4(X1,X2,X3,X4))|esk227_2(X1,X2)!=esk226_2(X1,X2)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1346, plain, (empty(X1)|in(esk218_2(X1,X2),esk220_2(X1,X2))|in(X3,esk223_3(X1,X2,X3))|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1620, plain, (esk269_2(X1,X2)=esk267_2(X1,X2)|element(esk272_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1827, plain, (subset_complement(the_carrier(X1),esk308_3(X1,X2,X3))=X3|esk305_2(X1,X2)!=esk306_2(X1,X2)|~one_sorted_str(X1)|~element(esk308_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2414, lemma, (function(esk409_2(X1,X2))|element(esk408_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk404_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2415, lemma, (relation(esk409_2(X1,X2))|element(esk408_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk404_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_169, plain, (element(esk14_4(X1,X2,topstr_closure(X1,X2),X3),powerset(the_carrier(X1)))|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_carrier(X1)))).
% 45.16/6.94 cnf(i_0_1372, plain, (empty(X1)|in(esk217_2(X1,X2),esk219_2(X1,X2))|in(esk222_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1693, plain, (set_difference(esk285_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk280_2(X1,X2)!=esk279_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2899, plain, (X1=esk468_4(X2,X3,X4,X5)|X5=empty_set|~epred2_3(X4,X3,X2)|~subset(esk468_4(X2,X3,X4,X5),X1)|~element(X5,powerset(powerset(esk467_3(X2,X3,X4))))|~in(esk467_3(X2,X3,X4),omega)|~in(X1,X5))).
% 45.16/6.94 cnf(i_0_2894, plain, (X1=esk470_4(X2,X3,X4,X5)|X5=empty_set|~epred2_3(X4,X3,X2)|~subset(esk470_4(X2,X3,X4,X5),X1)|~element(X5,powerset(powerset(esk469_3(X2,X3,X4))))|~in(esk469_3(X2,X3,X4),omega)|~in(X1,X5))).
% 45.16/6.94 cnf(i_0_1348, plain, (empty(X1)|in(esk218_2(X1,X2),esk220_2(X1,X2))|in(esk222_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1641, plain, (subset(X1,esk266_2(X2,X1))|element(esk272_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk270_2(X2,X1)))).
% 45.16/6.94 cnf(i_0_1606, plain, (subset(X1,esk267_2(X2,X1))|element(esk272_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk270_2(X2,X1)))).
% 45.16/6.94 cnf(i_0_1648, plain, (closed_subset(esk268_2(X1,X2),X1)|element(esk272_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1613, plain, (closed_subset(esk269_2(X1,X2),X1)|element(esk272_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2119, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1464, plain, (esk235_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk229_2(X1,X2),esk230_2(X1,X2))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1724, plain, (esk278_2(X1,X2)=esk279_2(X1,X2)|in(esk285_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1709, plain, (esk278_2(X1,X2)=esk280_2(X1,X2)|in(esk285_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_560, plain, (relstr_element_smaller(X1,X2,esk122_3(X1,X2,X3))|relstr_element_smaller(X1,X2,esk121_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.94 cnf(i_0_1979, plain, (in(esk342_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|esk340_3(X1,X2,X3)!=esk339_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk341_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1410, plain, (esk235_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk232_2(X1,X2),esk233_2(X1,X2))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1756, plain, (in(esk301_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|esk294_2(X1,X2)!=esk293_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1826, plain, (element(esk309_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk307_2(X1,X2))|esk305_2(X1,X2)!=esk306_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 45.16/6.94 cnf(i_0_500, plain, (ex_sup_of_relstr_set(X1,X2)|related(X1,esk105_3(X1,X2,X3),X4)|~relstr_set_smaller(X1,X2,X3)|~relstr_set_smaller(X1,X2,X4)|~related(X1,X3,esk104_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.94 cnf(i_0_1662, plain, (element(esk272_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk268_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2743, lemma, (apply(X1,esk454_2(X1,X2))=esk453_2(X1,X2)|apply(X2,esk451_2(X1,X2))=esk452_2(X1,X2)|X2=function_inverse(X1)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 45.16/6.94 cnf(i_0_149, plain, (X1=relation_inverse_image(X2,X3)|in(apply(X2,esk11_3(X2,X3,X1)),X3)|in(esk11_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 45.16/6.94 cnf(i_0_1728, plain, (esk291_4(X1,X2,X3,X4)=X4|in(X3,esk289_2(X1,X2))|esk287_2(X1,X2)!=esk288_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1170, lemma, (esk193_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk187_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2409, lemma, (esk408_3(X1,X2,X3)=esk407_2(X1,X2)|relation_dom(esk409_2(X1,X2))=X2|in(esk404_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1627, plain, (element(esk272_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk269_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2297, lemma, (relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk402_3(X1,X2,X3)=esk401_2(X1,X2)|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2342, lemma, (function(esk403_2(X1,X2))|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk402_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2343, lemma, (relation(esk403_2(X1,X2))|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk402_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2126, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1563, plain, (unordered_pair(unordered_pair(esk248_1(X1),esk248_1(X1)),unordered_pair(esk248_1(X1),esk249_1(X1)))=esk246_1(X1)|esk253_3(X1,X2,X3)=X3|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1996, plain, (in(X1,esk348_2(X2,X3))|esk345_2(X2,X3)!=esk344_2(X2,X3)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 45.16/6.94 cnf(i_0_1578, plain, (X1=empty_set|in(esk262_3(X2,X3,X1),X1)|esk257_1(X2)!=esk258_1(X2)|~ordinal(X2)|~element(X1,powerset(powerset(esk261_2(X2,X3))))|~in(esk261_2(X2,X3),omega)|~in(X3,esk259_1(X2)))).
% 45.16/6.94 cnf(i_0_1539, plain, (unordered_pair(unordered_pair(esk250_1(X1),esk250_1(X1)),unordered_pair(esk250_1(X1),esk251_1(X1)))=esk247_1(X1)|esk253_3(X1,X2,X3)=X3|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2413, lemma, (relation_dom(esk409_2(X1,X2))=X2|element(esk408_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk404_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2067, lemma, (element(esk362_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk359_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 45.16/6.94 cnf(i_0_2354, lemma, (function(esk403_2(X1,X2))|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2127, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1371, plain, (esk222_3(X1,X2,X3)=esk223_3(X1,X2,X3)|empty(X1)|in(esk217_2(X1,X2),esk219_2(X1,X2))|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1497, plain, (esk238_4(X1,X2,X3,X4)=esk236_4(X1,X2,X3,X4)|esk225_2(X1,X2)=esk226_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1443, plain, (esk238_4(X1,X2,X3,X4)=esk236_4(X1,X2,X3,X4)|esk225_2(X1,X2)=esk227_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1470, plain, (esk238_4(X1,X2,X3,X4)=esk236_4(X1,X2,X3,X4)|esk228_2(X1,X2)=esk230_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1416, plain, (esk238_4(X1,X2,X3,X4)=esk236_4(X1,X2,X3,X4)|esk231_2(X1,X2)=esk233_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1347, plain, (esk222_3(X1,X2,X3)=esk223_3(X1,X2,X3)|empty(X1)|in(esk218_2(X1,X2),esk220_2(X1,X2))|~relation(X2)|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2355, lemma, (relation(esk403_2(X1,X2))|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1917, plain, (esk310_2(X1,X2)=esk311_2(X1,X2)|in(esk319_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1885, plain, (esk310_2(X1,X2)=esk312_2(X1,X2)|in(esk319_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1901, plain, (in(esk319_4(X1,X2,X3,X4),X2)|in(esk313_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2220, lemma, (esk392_3(X1,X2,X3)=X3|in(esk385_2(X1,X2),esk387_2(X1,X2))|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2031, plain, (in(esk349_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk346_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1479, plain, (esk238_4(X1,X2,X3,X4)=esk236_4(X1,X2,X3,X4)|empty(X1)|in(esk228_2(X1,X2),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1425, plain, (esk238_4(X1,X2,X3,X4)=esk236_4(X1,X2,X3,X4)|empty(X1)|in(esk231_2(X1,X2),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1869, plain, (in(esk319_4(X1,X2,X3,X4),X2)|in(esk315_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2007, plain, (in(esk349_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk347_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk348_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1671, plain, (esk265_2(X1,X2)=esk266_2(X1,X2)|in(esk271_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1636, plain, (esk265_2(X1,X2)=esk267_2(X1,X2)|in(esk271_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1643, plain, (subset(X1,esk266_2(X2,X1))|in(esk271_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk270_2(X2,X1)))).
% 45.16/6.94 cnf(i_0_1608, plain, (subset(X1,esk267_2(X2,X1))|in(esk271_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk270_2(X2,X1)))).
% 45.16/6.94 cnf(i_0_2083, lemma, (in(set_difference(X1,unordered_pair(X2,X2)),esk367_2(X2,X3))|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_133, plain, (apply(X1,esk8_3(X1,X2,X3))=esk7_3(X1,X2,X3)|X3=relation_image(X1,X2)|in(esk7_3(X1,X2,X3),X3)|~relation(X1)|~function(X1))).
% 45.16/6.94 cnf(i_0_2553, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|X4=empty_set|~relation_of2_as_subset(X1,X5,X4)|~relation(X2)|~quasi_total(X1,X5,X4)|~function(X2)|~function(X1)|~in(X3,X5))).
% 45.16/6.94 cnf(i_0_1331, plain, (in(X1,esk221_2(X2,X3))|esk218_2(X2,X3)!=esk217_2(X2,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk224_5(X2,X3,X1,X4,X4))),X3)|~in(X4,X2)|~in(X1,X4))).
% 45.16/6.94 cnf(i_0_2166, lemma, (esk392_3(X1,X2,X3)=X3|in(esk386_2(X1,X2),esk388_2(X1,X2))|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1650, plain, (closed_subset(esk268_2(X1,X2),X1)|in(esk271_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1615, plain, (closed_subset(esk269_2(X1,X2),X1)|in(esk271_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1834, plain, (in(esk304_2(X1,X2),X2)|in(X3,esk307_2(X1,X2))|subset_complement(the_carrier(X1),esk309_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 45.16/6.94 cnf(i_0_2424, lemma, (X1=esk414_2(X2,X3)|X3=empty_set|in(esk413_1(X4),esk412_0)|~subset(esk414_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk412_0)|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1594, plain, (epred2_3(esk258_1(X1),esk257_1(X1),esk256_1(X1))|in(esk260_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(X2,esk259_1(X1)))).
% 45.16/6.94 cnf(i_0_914, plain, (X1=X2|latt_str_of(X3,X4,X1)!=latt_str_of(X5,X6,X2)|~quasi_total(X4,cartesian_product2(X3,X3),X3)|~quasi_total(X1,cartesian_product2(X3,X3),X3)|~relation_of2(X4,cartesian_product2(X3,X3),X3)|~relation_of2(X1,cartesian_product2(X3,X3),X3)|~function(X4)|~function(X1))).
% 45.16/6.94 cnf(i_0_915, plain, (X1=X2|latt_str_of(X3,X1,X4)!=latt_str_of(X5,X2,X6)|~quasi_total(X4,cartesian_product2(X3,X3),X3)|~quasi_total(X1,cartesian_product2(X3,X3),X3)|~relation_of2(X4,cartesian_product2(X3,X3),X3)|~relation_of2(X1,cartesian_product2(X3,X3),X3)|~function(X4)|~function(X1))).
% 45.16/6.94 cnf(i_0_916, plain, (X1=X2|latt_str_of(X1,X3,X4)!=latt_str_of(X2,X5,X6)|~quasi_total(X4,cartesian_product2(X1,X1),X1)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X4,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~function(X4)|~function(X3))).
% 45.16/6.94 cnf(i_0_1187, lemma, (empty(X1)|in(esk188_2(X1,X2),esk190_2(X1,X2))|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_409, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk82_2(X1,X2),esk82_2(X1,X2)),unordered_pair(esk82_2(X1,X2),esk83_2(X1,X2))),X1)|~relation(X1))).
% 45.16/6.94 cnf(i_0_563, plain, (related(X1,X2,esk122_3(X1,X3,X4))|ex_inf_of_relstr_set(X1,X3)|element(esk121_3(X1,X3,X4),the_carrier(X1))|~relstr_element_smaller(X1,X3,X4)|~relstr_element_smaller(X1,X3,X2)|~element(X4,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.94 cnf(i_0_1920, plain, (esk310_2(X1,X2)=esk311_2(X1,X2)|in(esk318_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1888, plain, (esk310_2(X1,X2)=esk312_2(X1,X2)|in(esk318_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1904, plain, (in(esk318_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|in(esk313_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1308, lemma, (X1=esk214_2(X2,X3)|X3=empty_set|in(esk213_1(X4),esk212_0)|~epred1_0|~subset(esk214_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk212_0)|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_408, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk82_2(X1,X2),esk83_2(X1,X2)),unordered_pair(esk83_2(X1,X2),esk83_2(X1,X2))),X1)|~relation(X1))).
% 45.16/6.94 cnf(i_0_1155, lemma, (empty(X1)|in(esk189_2(X1,X2),esk191_2(X1,X2))|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2559, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk429_4(X2,X3,X4,X1))),X4)|relation_dom_as_subset(X3,X2,X4)!=X3|~relation_of2_as_subset(X4,X3,X2)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1577, plain, (X1=esk262_3(X2,X3,X4)|X4=empty_set|esk257_1(X2)!=esk258_1(X2)|~subset(esk262_3(X2,X3,X4),X1)|~ordinal(X2)|~element(X4,powerset(powerset(esk261_2(X2,X3))))|~in(esk261_2(X2,X3),omega)|~in(X3,esk259_1(X2))|~in(X1,X4))).
% 45.16/6.94 cnf(i_0_541, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk115_2(X1,X2),esk115_2(X1,X2)),unordered_pair(esk115_2(X1,X2),esk116_2(X1,X2))),X1)|~relation(X1))).
% 45.16/6.94 cnf(i_0_1872, plain, (in(esk318_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|in(esk315_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1664, plain, (element(esk268_2(X1,X2),powerset(the_carrier(X1)))|in(esk271_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1629, plain, (element(esk269_2(X1,X2),powerset(the_carrier(X1)))|in(esk271_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk270_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1729, plain, (element(esk291_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk289_2(X1,X2))|esk287_2(X1,X2)!=esk288_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_484, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_inverse(X3))|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3))).
% 45.16/6.94 cnf(i_0_540, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk116_2(X1,X2),esk116_2(X1,X2)),unordered_pair(esk116_2(X1,X2),esk117_2(X1,X2))),X1)|~relation(X1))).
% 45.16/6.94 cnf(i_0_485, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),relation_inverse(X3)))).
% 45.16/6.94 cnf(i_0_1720, plain, (esk284_3(X1,X2,X3)=X3|in(esk281_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1705, plain, (esk284_3(X1,X2,X3)=X3|in(esk282_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1741, plain, (in(esk290_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|in(esk286_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk289_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1820, plain, (esk292_2(X1,X2)=esk293_2(X1,X2)|in(esk301_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1788, plain, (esk292_2(X1,X2)=esk294_2(X1,X2)|in(esk301_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1221, lemma, (unordered_pair(esk195_1(X1),esk195_1(X1))=esk196_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk198_1(X1))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_1955, plain, (esk322_3(X1,X2,X3)=esk323_3(X1,X2,X3)|in(esk330_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1940, plain, (esk322_3(X1,X2,X3)=esk324_3(X1,X2,X3)|in(esk330_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1994, plain, (esk338_3(X1,X2,X3)=esk339_3(X1,X2,X3)|esk342_4(X1,X2,X3,X4)=X4|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk341_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1986, plain, (esk338_3(X1,X2,X3)=esk340_3(X1,X2,X3)|esk342_4(X1,X2,X3,X4)=X4|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk341_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1548, plain, (unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3))=esk255_3(X1,X2,X3)|unordered_pair(esk248_1(X1),esk248_1(X1))=esk249_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_162, plain, (X1=topstr_closure(X2,X3)|in(esk15_3(X2,X3,X1),esk16_3(X2,X3,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk15_3(X2,X3,X1),X1))).
% 45.16/6.94 cnf(i_0_1835, plain, (esk309_4(X1,X2,X3,X4)=X4|in(esk304_2(X1,X2),X2)|in(X3,esk307_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 45.16/6.94 cnf(i_0_2422, lemma, (X1=esk414_2(X2,X3)|X3=empty_set|subset(X4,esk413_1(X4))|~subset(esk414_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk412_0)|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1211, lemma, (unordered_pair(esk195_1(X1),esk195_1(X1))=esk197_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk198_1(X1))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_1524, plain, (unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3))=esk255_3(X1,X2,X3)|unordered_pair(esk250_1(X1),esk250_1(X1))=esk251_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2064, lemma, (subset(X1,esk363_4(X2,X3,X3,X1))|in(X3,esk359_1(X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X1,esk362_3(X2,X3,X3)))).
% 45.16/6.94 cnf(i_0_346, plain, (X1=set_union2(X2,X3)|in(esk63_3(X2,X3,X1),X2)|in(esk63_3(X2,X3,X1),X3)|in(esk63_3(X2,X3,X1),X1))).
% 45.16/6.94 cnf(i_0_1806, plain, (esk300_4(X1,X2,X3,X4)=X4|in(esk295_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1774, plain, (esk300_4(X1,X2,X3,X4)=X4|in(esk297_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2796, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_composition(identity_relation(X3),X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X4)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_555, plain, (related(X1,X2,esk122_3(X1,X3,X4))|ex_inf_of_relstr_set(X1,X3)|~related(X1,esk121_3(X1,X3,X4),X4)|~relstr_element_smaller(X1,X3,X4)|~relstr_element_smaller(X1,X3,X2)|~element(X4,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.94 cnf(i_0_2228, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|function(esk391_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1462, plain, (empty(X1)|in(esk229_2(X1,X2),esk230_2(X1,X2))|in(esk236_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_170, plain, (~disjoint(X1,X2)|~open_subset(X2,X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~element(X2,powerset(the_carrier(X3)))|~in(X4,topstr_closure(X3,X1))|~in(X4,X2))).
% 45.16/6.94 cnf(i_0_1408, plain, (empty(X1)|in(esk232_2(X1,X2),esk233_2(X1,X2))|in(esk236_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2341, lemma, (relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk402_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1688, plain, (esk273_2(X1,X2)=esk274_2(X1,X2)|in(X3,esk276_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1))))).
% 45.16/6.94 cnf(i_0_2229, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|relation(esk391_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1496, plain, (esk225_2(X1,X2)=esk226_2(X1,X2)|empty(X1)|in(esk237_4(X1,X2,X3,X4),esk238_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1680, plain, (esk273_2(X1,X2)=esk275_2(X1,X2)|in(X3,esk276_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1))))).
% 45.16/6.94 cnf(i_0_1332, plain, (in(esk224_5(X1,X2,X3,X4,X4),X4)|in(X3,esk221_2(X1,X2))|esk218_2(X1,X2)!=esk217_2(X1,X2)|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 45.16/6.94 cnf(i_0_1442, plain, (esk225_2(X1,X2)=esk227_2(X1,X2)|empty(X1)|in(esk237_4(X1,X2,X3,X4),esk238_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1686, plain, (esk277_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk274_2(X1,X2)),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1678, plain, (esk277_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk275_2(X1,X2)),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1306, lemma, (X1=esk214_2(X2,X3)|X3=empty_set|subset(X4,esk213_1(X4))|~epred1_0|~subset(esk214_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk212_0)|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1723, plain, (set_difference(esk285_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk278_2(X1,X2)=esk279_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2174, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|function(esk391_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1469, plain, (esk228_2(X1,X2)=esk230_2(X1,X2)|empty(X1)|in(esk237_4(X1,X2,X3,X4),esk238_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_131, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_dom_restriction(X3,X4)))).
% 45.16/6.94 cnf(i_0_145, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_rng_restriction(X4,X3)))).
% 45.16/6.94 cnf(i_0_1415, plain, (esk231_2(X1,X2)=esk233_2(X1,X2)|empty(X1)|in(esk237_4(X1,X2,X3,X4),esk238_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1708, plain, (set_difference(esk285_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk278_2(X1,X2)=esk280_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2353, lemma, (relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1759, plain, (in(esk300_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|esk294_2(X1,X2)!=esk293_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2350, lemma, (function(esk403_2(X1,X2))|element(esk402_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2175, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|relation(esk391_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_202, plain, (esk26_4(X1,X2,X3,X4)=X1|esk26_4(X1,X2,X3,X4)=X2|esk26_4(X1,X2,X3,X4)=X3|X4=unordered_triple(X1,X2,X3)|in(esk26_4(X1,X2,X3,X4),X4))).
% 45.16/6.94 cnf(i_0_1989, plain, (in(relation_image(X1,esk339_3(X2,X3,X1)),X3)|in(relation_image(X1,X4),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,esk341_3(X2,X3,X1)))).
% 45.16/6.94 cnf(i_0_1981, plain, (in(relation_image(X1,esk340_3(X2,X3,X1)),X3)|in(relation_image(X1,X4),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,esk341_3(X2,X3,X1)))).
% 45.16/6.94 cnf(i_0_1726, plain, (esk278_2(X1,X2)=esk279_2(X1,X2)|in(esk284_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1561, plain, (unordered_pair(unordered_pair(esk248_1(X1),esk248_1(X1)),unordered_pair(esk248_1(X1),esk249_1(X1)))=esk246_1(X1)|in(esk254_3(X1,X2,X3),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2351, lemma, (relation(esk403_2(X1,X2))|element(esk402_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1711, plain, (esk278_2(X1,X2)=esk280_2(X1,X2)|in(esk284_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2125, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1537, plain, (unordered_pair(unordered_pair(esk250_1(X1),esk250_1(X1)),unordered_pair(esk250_1(X1),esk251_1(X1)))=esk247_1(X1)|in(esk254_3(X1,X2,X3),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2740, lemma, (apply(X1,esk454_2(X1,X2))=esk453_2(X1,X2)|X2=function_inverse(X1)|apply(X1,esk452_2(X1,X2))!=esk451_2(X1,X2)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk452_2(X1,X2),relation_dom(X1)))).
% 45.16/6.94 cnf(i_0_614, plain, (empty(X1)|empty(X2)|element(apply_binary_as_element(X1,X2,X3,X4,X5,X6),X3)|~quasi_total(X4,cartesian_product2(X1,X2),X3)|~relation_of2(X4,cartesian_product2(X1,X2),X3)|~function(X4)|~element(X6,X2)|~element(X5,X1))).
% 45.16/6.94 cnf(i_0_1976, plain, (in(X1,esk341_3(X2,X3,X4))|esk340_3(X2,X3,X4)!=esk339_3(X2,X3,X4)|~relation(X4)|~function(X4)|~element(X3,powerset(powerset(X2)))|~in(X1,powerset(relation_dom(X4)))|~in(relation_image(X4,X1),X3))).
% 45.16/6.94 cnf(i_0_1478, plain, (empty(X1)|in(esk237_4(X1,X2,X3,X4),esk238_4(X1,X2,X3,X4))|in(esk228_2(X1,X2),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_504, plain, (relstr_set_smaller(X1,X2,esk104_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|related(X1,esk105_3(X1,X2,X3),X4)|~relstr_set_smaller(X1,X2,X3)|~relstr_set_smaller(X1,X2,X4)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.94 cnf(i_0_2090, lemma, (subset_complement(the_carrier(X1),esk370_4(X1,X2,X3,X4))=esk371_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk370_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk369_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1837, plain, (subset_complement(the_carrier(X1),esk308_3(X1,X2,X3))=X3|in(esk304_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk308_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1424, plain, (empty(X1)|in(esk237_4(X1,X2,X3,X4),esk238_4(X1,X2,X3,X4))|in(esk231_2(X1,X2),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1193, lemma, (esk190_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(X3,esk193_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk192_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1161, lemma, (esk191_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(X3,esk193_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk192_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_283, plain, (esk47_3(X1,X2,X3)=X2|X3=fiber(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(X2,esk47_3(X1,X2,X3)),unordered_pair(esk47_3(X1,X2,X3),esk47_3(X1,X2,X3))),X1)|~in(esk47_3(X1,X2,X3),X3))).
% 45.16/6.94 cnf(i_0_2237, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|in(apply(esk391_2(X1,X2),X3),esk392_3(X1,X2,X3))|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2097, lemma, (subset_complement(the_carrier(X1),esk374_4(X1,X2,X3,X4))=esk375_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk374_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk373_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1234, lemma, (X1=subset_complement(the_carrier(X2),X3)|esk200_2(X2,X4)!=esk201_2(X2,X4)|~one_sorted_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2)))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk202_2(X2,X4)))).
% 45.16/6.94 cnf(i_0_2183, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|in(apply(esk391_2(X1,X2),X3),esk392_3(X1,X2,X3))|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1269, lemma, (X1=subset_complement(the_carrier(X2),X3)|esk205_2(X2,X4)!=esk206_2(X2,X4)|~one_sorted_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2)))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk207_2(X2,X4)))).
% 45.16/6.94 cnf(i_0_2782, lemma, (X1=relation_dom_restriction(X2,X3)|in(esk457_3(X3,X1,X2),relation_dom(X1))|relation_dom(X1)!=set_difference(relation_dom(X2),set_difference(relation_dom(X2),X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 45.16/6.94 cnf(i_0_2129, lemma, (in(apply(esk391_2(X1,X2),X3),esk392_3(X1,X2,X3))|in(esk389_2(X1,X2),X1)|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2346, lemma, (esk402_3(X1,X2,X3)=esk401_2(X1,X2)|function(esk403_2(X1,X2))|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2347, lemma, (esk402_3(X1,X2,X3)=esk401_2(X1,X2)|relation(esk403_2(X1,X2))|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1719, plain, (in(esk285_3(X1,X2,X3),X2)|in(esk281_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1704, plain, (in(esk285_3(X1,X2,X3),X2)|in(esk282_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1517, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk252_2(X2,X3))|esk247_1(X2)!=esk246_1(X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 45.16/6.94 cnf(i_0_379, plain, (subset(X1,X2)|in(unordered_pair(unordered_pair(esk73_2(X1,X2),esk73_2(X1,X2)),unordered_pair(esk73_2(X1,X2),esk74_2(X1,X2))),X1)|~relation(X2)|~relation(X1))).
% 45.16/6.94 cnf(i_0_1106, plain, (apply_binary_as_element(X1,X2,X3,X4,X5,X6)=apply_binary(X4,X5,X6)|empty(X1)|empty(X2)|~quasi_total(X4,cartesian_product2(X1,X2),X3)|~relation_of2(X4,cartesian_product2(X1,X2),X3)|~function(X4)|~element(X6,X2)|~element(X5,X1))).
% 45.16/6.94 cnf(i_0_2741, lemma, (X1=function_inverse(X2)|in(esk454_2(X2,X1),relation_dom(X2))|apply(X2,esk452_2(X2,X1))!=esk451_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk452_2(X2,X1),relation_dom(X2)))).
% 45.16/6.94 cnf(i_0_2038, plain, (ordinal(esk346_2(X1,X2))|in(X3,esk348_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2255, lemma, (in(apply(esk391_2(X1,X2),X3),esk392_3(X1,X2,X3))|in(esk389_2(X1,X2),X1)|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1836, plain, (element(esk309_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(esk304_2(X1,X2),X2)|in(X3,esk307_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 45.16/6.94 cnf(i_0_1995, plain, (esk338_3(X1,X2,X3)=esk339_3(X1,X2,X3)|in(esk342_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk341_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1987, plain, (esk338_3(X1,X2,X3)=esk340_3(X1,X2,X3)|in(esk342_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk341_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2227, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|relation_dom(esk391_2(X1,X2))=X1|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1461, plain, (esk238_4(X1,X2,X3,X4)=esk236_4(X1,X2,X3,X4)|empty(X1)|in(esk229_2(X1,X2),esk230_2(X1,X2))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2014, plain, (ordinal(esk347_2(X1,X2))|in(X3,esk348_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2745, lemma, (X1=function_inverse(X2)|in(esk451_2(X2,X1),relation_rng(X2))|apply(X1,esk453_2(X2,X1))!=esk454_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk453_2(X2,X1),relation_rng(X2)))).
% 45.16/6.94 cnf(i_0_1333, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|esk218_2(X1,X4)!=esk217_2(X1,X4)|~relation(X4)|~in(X3,esk223_3(X1,X4,X2))|~in(X2,esk221_2(X1,X4)))).
% 45.16/6.94 cnf(i_0_1407, plain, (esk238_4(X1,X2,X3,X4)=esk236_4(X1,X2,X3,X4)|empty(X1)|in(esk232_2(X1,X2),esk233_2(X1,X2))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1823, plain, (esk292_2(X1,X2)=esk293_2(X1,X2)|in(esk300_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1791, plain, (esk292_2(X1,X2)=esk294_2(X1,X2)|in(esk300_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1685, plain, (in(set_difference(cast_as_carrier_subset(X1),esk274_2(X1,X2)),X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1677, plain, (in(set_difference(cast_as_carrier_subset(X1),esk275_2(X1,X2)),X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2173, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|relation_dom(esk391_2(X1,X2))=X1|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1373, plain, (esk219_2(X1,X2)=esk216_2(X1,X2)|in(X3,esk221_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk224_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 45.16/6.94 cnf(i_0_1349, plain, (esk220_2(X1,X2)=esk216_2(X1,X2)|in(X3,esk221_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk224_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 45.16/6.94 cnf(i_0_1990, plain, (esk342_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk339_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk341_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1982, plain, (esk342_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk340_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk341_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1575, plain, (element(esk263_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk259_1(X1))|esk257_1(X1)!=esk258_1(X1)|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 45.16/6.94 cnf(i_0_2234, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|function(esk391_2(X1,X2))|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2118, lemma, (esk392_3(X1,X2,X3)=X3|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2739, lemma, (X1=function_inverse(X2)|apply(X2,esk452_2(X2,X1))!=esk451_2(X2,X1)|apply(X1,esk453_2(X2,X1))!=esk454_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk452_2(X2,X1),relation_dom(X2))|~in(esk453_2(X2,X1),relation_rng(X2)))).
% 45.16/6.94 cnf(i_0_1186, lemma, (esk193_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk188_2(X1,X2),esk190_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2326, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|function(esk403_2(X1,X2))|subset_complement(the_carrier(X1),esk402_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2327, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|relation(esk403_2(X1,X2))|subset_complement(the_carrier(X1),esk402_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2235, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|relation(esk391_2(X1,X2))|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2061, lemma, (unordered_pair(unordered_pair(esk357_3(X1,X2,X3),esk357_3(X1,X2,X3)),unordered_pair(esk357_3(X1,X2,X3),esk358_3(X1,X2,X3)))=X3|~in(X3,esk356_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1154, lemma, (esk193_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk189_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_144, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_rng_restriction(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X4)|~in(X2,X3))).
% 45.16/6.94 cnf(i_0_2310, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|function(esk403_2(X1,X2))|subset_complement(the_carrier(X1),esk402_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2180, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|function(esk391_2(X1,X2))|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2311, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|relation(esk403_2(X1,X2))|subset_complement(the_carrier(X1),esk402_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_130, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_dom_restriction(X3,X4))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~in(X1,X4))).
% 45.16/6.94 cnf(i_0_2742, lemma, (apply(X1,esk451_2(X2,X1))=esk452_2(X2,X1)|X1=function_inverse(X2)|apply(X1,esk453_2(X2,X1))!=esk454_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk453_2(X2,X1),relation_rng(X2)))).
% 45.16/6.94 cnf(i_0_2491, lemma, (in(unordered_pair(unordered_pair(X1,esk421_3(X1,X2,X3)),unordered_pair(esk421_3(X1,X2,X3),esk421_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 45.16/6.94 cnf(i_0_2390, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|function(esk409_2(X1,X2))|subset_complement(the_carrier(X1),esk408_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2391, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|relation(esk409_2(X1,X2))|subset_complement(the_carrier(X1),esk408_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2181, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|relation(esk391_2(X1,X2))|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1374, plain, (esk219_2(X1,X2)=esk216_2(X1,X2)|in(esk224_5(X1,X2,X3,X4,X4),X4)|in(X3,esk221_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 45.16/6.94 cnf(i_0_1350, plain, (esk220_2(X1,X2)=esk216_2(X1,X2)|in(esk224_5(X1,X2,X3,X4,X4),X4)|in(X3,esk221_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 45.16/6.94 cnf(i_0_2374, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|function(esk409_2(X1,X2))|subset_complement(the_carrier(X1),esk408_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2375, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|relation(esk409_2(X1,X2))|subset_complement(the_carrier(X1),esk408_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2246, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_546, plain, (X1=complements_of_subsets(X2,X3)|in(subset_complement(X2,esk118_3(X2,X3,X1)),X3)|in(esk118_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 45.16/6.94 cnf(i_0_2044, plain, (esk343_2(X1,X2)=esk344_2(X1,X2)|in(X3,esk348_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2020, plain, (esk343_2(X1,X2)=esk345_2(X1,X2)|in(X3,esk348_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2349, lemma, (relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk402_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1103, plain, (k10_filter_1(X1,X2,X3,X4)=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))|empty_carrier(X1)|empty_carrier(X2)|~lattice(X2)|~lattice(X1)|~element(X4,the_carrier(X2))|~element(X3,the_carrier(X1))|~latt_str(X2)|~latt_str(X1))).
% 45.16/6.94 cnf(i_0_1715, plain, (set_difference(esk281_2(X1,X2),unordered_pair(X1,X1))=esk279_2(X1,X2)|esk284_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1700, plain, (set_difference(esk282_2(X1,X2),unordered_pair(X1,X1))=esk280_2(X1,X2)|esk284_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2247, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1465, plain, (empty(X1)|in(esk235_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk229_2(X1,X2),esk230_2(X1,X2))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2032, plain, (esk346_2(X1,X2)=esk344_2(X1,X2)|in(X3,esk348_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2008, plain, (esk347_2(X1,X2)=esk345_2(X1,X2)|in(X3,esk348_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1411, plain, (empty(X1)|in(esk235_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk232_2(X1,X2),esk233_2(X1,X2))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1718, plain, (set_difference(esk285_3(X1,X2,X3),unordered_pair(X1,X1))=X3|in(esk281_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1703, plain, (set_difference(esk285_3(X1,X2,X3),unordered_pair(X1,X1))=X3|in(esk282_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2389, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|relation_dom(esk409_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk408_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2233, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2026, plain, (in(X1,esk348_2(X2,X3))|in(esk346_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 45.16/6.94 cnf(i_0_2002, plain, (in(X1,esk348_2(X2,X3))|in(esk347_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 45.16/6.94 cnf(i_0_2345, lemma, (relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk402_3(X1,X2,X3)=esk401_2(X1,X2)|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2373, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|relation_dom(esk409_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk408_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1721, plain, (in(esk284_3(X1,X2,X3),powerset(X1))|in(esk281_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1706, plain, (in(esk284_3(X1,X2,X3),powerset(X1))|in(esk282_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2179, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1564, plain, (unordered_pair(unordered_pair(esk248_1(X1),esk248_1(X1)),unordered_pair(esk248_1(X1),esk249_1(X1)))=esk246_1(X1)|in(esk253_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1169, lemma, (empty(X1)|in(X2,esk193_4(X1,X3,X4,X2))|in(esk187_2(X1,X3),X1)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),esk192_2(X1,X3)))).
% 45.16/6.94 cnf(i_0_1540, plain, (unordered_pair(unordered_pair(esk250_1(X1),esk250_1(X1)),unordered_pair(esk250_1(X1),esk251_1(X1)))=esk247_1(X1)|in(esk253_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_160, plain, (X1=topstr_closure(X2,X3)|in(esk15_3(X2,X3,X1),X1)|~disjoint(X3,X4)|~open_subset(X4,X2)|~top_str(X2)|~element(X4,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk15_3(X2,X3,X1),X4))).
% 45.16/6.94 cnf(i_0_1249, lemma, (in(esk199_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk202_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2252, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_112, plain, (esk2_2(X1,X2)=esk1_2(X1,X2)|X2=identity_relation(X1)|in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X2)|~relation(X2))).
% 45.16/6.94 cnf(i_0_1572, plain, (subset(X1,esk264_4(X2,X3,X3,X1))|in(X3,esk259_1(X2))|esk257_1(X2)!=esk258_1(X2)|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X1,esk263_3(X2,X3,X3)))).
% 45.16/6.94 cnf(i_0_113, plain, (X1=identity_relation(X2)|in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)|in(esk1_2(X2,X1),X2)|~relation(X1))).
% 45.16/6.94 cnf(i_0_2402, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|function(esk409_2(X1,X2))|in(esk407_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2403, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|relation(esk409_2(X1,X2))|in(esk407_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2253, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_403, plain, (X1=relation_dom(X2)|in(unordered_pair(unordered_pair(esk80_2(X2,X1),esk80_2(X2,X1)),unordered_pair(esk80_2(X2,X1),esk81_2(X2,X1))),X2)|in(esk80_2(X2,X1),X1)|~relation(X2))).
% 45.16/6.94 cnf(i_0_1586, plain, (epred2_3(esk258_1(X1),esk257_1(X1),esk256_1(X1))|in(X2,esk259_1(X1))|esk263_3(X1,X2,X2)!=empty_set|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 45.16/6.94 cnf(i_0_936, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~transitive(X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X3))).
% 45.16/6.94 cnf(i_0_456, plain, (X1=relation_rng(X2)|in(unordered_pair(unordered_pair(esk94_2(X2,X1),esk95_2(X2,X1)),unordered_pair(esk95_2(X2,X1),esk95_2(X2,X1))),X2)|in(esk94_2(X2,X1),X1)|~relation(X2))).
% 45.16/6.94 cnf(i_0_2386, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|function(esk409_2(X1,X2))|in(esk407_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2387, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|relation(esk409_2(X1,X2))|in(esk407_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1737, plain, (in(esk286_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk289_2(X1,X2))|subset_complement(the_carrier(X1),esk291_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_2251, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1180, lemma, (function(esk192_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk188_2(X1,X2),X3),unordered_pair(esk188_2(X1,X2),esk188_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk190_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1595, plain, (in(X1,esk270_2(X2,X3))|esk267_2(X2,X3)!=esk266_2(X2,X3)|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~subset(X3,X1)|~element(X3,powerset(the_carrier(X2)))|~in(X1,powerset(the_carrier(X2))))).
% 45.16/6.94 cnf(i_0_1148, lemma, (function(esk192_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk189_2(X1,X2),X3),unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk191_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2245, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_459, plain, (in(unordered_pair(unordered_pair(X1,esk93_3(X2,relation_rng(X2),X1)),unordered_pair(esk93_3(X2,relation_rng(X2),X1),esk93_3(X2,relation_rng(X2),X1))),X2)|~relation(X2)|~in(X1,relation_rng(X2)))).
% 45.16/6.94 cnf(i_0_1181, lemma, (relation(esk192_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk188_2(X1,X2),X3),unordered_pair(esk188_2(X1,X2),esk188_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk190_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2065, lemma, (in(esk363_4(X1,X2,X2,X3),esk362_3(X1,X2,X2))|in(X2,esk359_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk362_3(X1,X2,X2)))).
% 45.16/6.94 cnf(i_0_1355, plain, (in(X1,esk221_2(X2,X3))|in(esk216_2(X2,X3),X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk224_5(X2,X3,X1,X4,X4))),X3)|~in(X4,X2)|~in(X1,X4))).
% 45.16/6.94 cnf(i_0_1149, lemma, (relation(esk192_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk189_2(X1,X2),X3),unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk191_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2401, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|relation_dom(esk409_2(X1,X2))=X2|in(esk407_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2385, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|relation_dom(esk409_2(X1,X2))=X2|in(esk407_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2094, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk373_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk376_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5)))).
% 45.16/6.94 cnf(i_0_1568, plain, (unordered_pair(unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3)),unordered_pair(esk254_3(X1,X2,X3),esk255_3(X1,X2,X3)))=X3|esk245_1(X1)=esk246_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1692, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk283_2(X2,X3))|esk280_2(X2,X3)!=esk279_2(X2,X3)|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1544, plain, (unordered_pair(unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3)),unordered_pair(esk254_3(X1,X2,X3),esk255_3(X1,X2,X3)))=X3|esk245_1(X1)=esk247_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1687, plain, (in(set_difference(cast_as_carrier_subset(X1),esk274_2(X1,X2)),X2)|in(esk277_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1679, plain, (in(set_difference(cast_as_carrier_subset(X1),esk275_2(X1,X2)),X2)|in(esk277_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk276_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1267, lemma, (esk208_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk207_2(X1,X2))|esk205_2(X1,X2)!=esk206_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_2124, lemma, (esk392_3(X1,X2,X3)=X3|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1520, plain, (unordered_pair(unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3)),unordered_pair(esk254_3(X1,X2,X3),esk255_3(X1,X2,X3)))=X3|esk247_1(X1)!=esk246_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2226, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|esk392_3(X1,X2,X3)=X3|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2172, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|esk392_3(X1,X2,X3)=X3|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1738, plain, (esk291_4(X1,X2,X3,X4)=X4|in(esk286_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk289_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1565, plain, (esk245_1(X1)=esk246_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk252_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_322, plain, (X1=X2|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk57_2(X1,X2),esk57_2(X1,X2)),unordered_pair(esk57_2(X1,X2),esk58_2(X1,X2))),X2)|~in(unordered_pair(unordered_pair(esk57_2(X1,X2),esk57_2(X1,X2)),unordered_pair(esk57_2(X1,X2),esk58_2(X1,X2))),X1))).
% 45.16/6.94 cnf(i_0_1755, plain, (subset_complement(the_carrier(X1),esk301_4(X1,X2,X3,X4))=esk302_4(X1,X2,X3,X4)|esk294_2(X1,X2)!=esk293_2(X1,X2)|~one_sorted_str(X1)|~element(esk301_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1852, plain, (subset_complement(the_carrier(X1),esk319_4(X1,X2,X3,X4))=esk320_4(X1,X2,X3,X4)|esk312_2(X1,X2)!=esk311_2(X1,X2)|~one_sorted_str(X1)|~element(esk319_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1843, plain, (subset_complement(the_carrier(X1),esk304_2(X1,X2))=esk305_2(X1,X2)|in(esk308_3(X1,X2,X3),X2)|~one_sorted_str(X1)|~element(esk304_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1833, plain, (subset_complement(the_carrier(X1),esk304_2(X1,X2))=esk306_2(X1,X2)|in(esk308_3(X1,X2,X3),X2)|~one_sorted_str(X1)|~element(esk304_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1541, plain, (esk245_1(X1)=esk247_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk252_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_1714, plain, (set_difference(esk281_2(X1,X2),unordered_pair(X1,X1))=esk279_2(X1,X2)|in(esk285_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1699, plain, (set_difference(esk282_2(X1,X2),unordered_pair(X1,X1))=esk280_2(X1,X2)|in(esk285_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1356, plain, (in(esk224_5(X1,X2,X3,X4,X4),X4)|in(X3,esk221_2(X1,X2))|in(esk216_2(X1,X2),X1)|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 45.16/6.94 cnf(i_0_1798, plain, (subset_complement(the_carrier(X1),esk295_2(X1,X2))=esk296_2(X1,X2)|esk300_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk295_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1766, plain, (subset_complement(the_carrier(X1),esk297_2(X1,X2))=esk298_2(X1,X2)|esk300_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk297_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1553, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk252_2(X2,X3))|in(esk248_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 45.16/6.94 cnf(i_0_1992, plain, (esk338_3(X1,X2,X3)=esk339_3(X1,X2,X3)|in(X4,esk341_3(X1,X2,X3))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,powerset(relation_dom(X3)))|~in(relation_image(X3,X4),X2))).
% 45.16/6.94 cnf(i_0_1895, plain, (subset_complement(the_carrier(X1),esk313_2(X1,X2))=esk314_2(X1,X2)|esk318_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk313_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1863, plain, (subset_complement(the_carrier(X1),esk315_2(X1,X2))=esk316_2(X1,X2)|esk318_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk315_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_559, plain, (related(X1,X2,esk122_3(X1,X3,X4))|relstr_element_smaller(X1,X3,esk121_3(X1,X3,X4))|ex_inf_of_relstr_set(X1,X3)|~relstr_element_smaller(X1,X3,X4)|~relstr_element_smaller(X1,X3,X2)|~element(X4,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 45.16/6.94 cnf(i_0_1529, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk252_2(X2,X3))|in(esk250_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 45.16/6.94 cnf(i_0_1984, plain, (esk338_3(X1,X2,X3)=esk340_3(X1,X2,X3)|in(X4,esk341_3(X1,X2,X3))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,powerset(relation_dom(X3)))|~in(relation_image(X3,X4),X2))).
% 45.16/6.94 cnf(i_0_1375, plain, (esk219_2(X1,X2)=esk216_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(X4,esk223_3(X1,X2,X3))|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1351, plain, (esk220_2(X1,X2)=esk216_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(X4,esk223_3(X1,X2,X3))|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1460, plain, (empty(X1)|in(esk237_4(X1,X2,X3,X4),esk238_4(X1,X2,X3,X4))|in(esk229_2(X1,X2),esk230_2(X1,X2))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1807, plain, (in(esk300_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk295_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1775, plain, (in(esk300_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk297_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2325, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk402_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1740, plain, (subset_complement(the_carrier(X1),esk290_3(X1,X2,X3))=X3|in(esk286_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk290_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk289_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1406, plain, (empty(X1)|in(esk237_4(X1,X2,X3,X4),esk238_4(X1,X2,X3,X4))|in(esk232_2(X1,X2),esk233_2(X1,X2))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1357, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk216_2(X1,X4),X1)|~relation(X4)|~in(X3,esk223_3(X1,X4,X2))|~in(X2,esk221_2(X1,X4)))).
% 45.16/6.94 cnf(i_0_1556, plain, (unordered_pair(unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3)),unordered_pair(esk254_3(X1,X2,X3),esk255_3(X1,X2,X3)))=X3|in(esk248_1(X1),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2309, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk402_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2216, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk385_2(X1,X2),esk387_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1532, plain, (unordered_pair(unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3)),unordered_pair(esk254_3(X1,X2,X3),esk255_3(X1,X2,X3)))=X3|in(esk250_1(X1),X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2356, lemma, (apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk408_3(X1,X2,X4))!=X4|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_2219, lemma, (in(apply(esk391_2(X1,X2),X3),esk392_3(X1,X2,X3))|in(esk385_2(X1,X2),esk387_2(X1,X2))|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1804, plain, (in(esk301_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk295_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1772, plain, (in(esk301_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk297_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2334, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|function(esk403_2(X1,X2))|element(esk402_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2162, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk386_2(X1,X2),esk388_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2165, lemma, (in(apply(esk391_2(X1,X2),X3),esk392_3(X1,X2,X3))|in(esk386_2(X1,X2),esk388_2(X1,X2))|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_483, plain, (X1=relation_inverse(X2)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk98_2(X2,X1),esk98_2(X2,X1)),unordered_pair(esk98_2(X2,X1),esk99_2(X2,X1))),X1)|~in(unordered_pair(unordered_pair(esk98_2(X2,X1),esk99_2(X2,X1)),unordered_pair(esk99_2(X2,X1),esk99_2(X2,X1))),X2))).
% 45.16/6.94 cnf(i_0_1266, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk207_2(X3,X4))|subset_complement(the_carrier(X3),esk208_4(X3,X4,X1,X2))!=X2|esk205_2(X3,X4)!=esk206_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,X4))).
% 45.16/6.94 cnf(i_0_1588, plain, (epred2_3(esk258_1(X1),esk257_1(X1),esk256_1(X1))|in(X2,esk259_1(X1))|in(X2,omega)|~ordinal(X1)|~ordinal(X2)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 45.16/6.94 cnf(i_0_2335, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|relation(esk403_2(X1,X2))|element(esk402_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2318, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|function(esk403_2(X1,X2))|element(esk402_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_538, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk111_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(X2,X3)))).
% 45.16/6.94 cnf(i_0_281, plain, (X1=fiber(X2,X3)|in(unordered_pair(unordered_pair(X3,esk47_3(X2,X3,X1)),unordered_pair(esk47_3(X2,X3,X1),esk47_3(X2,X3,X1))),X2)|in(esk47_3(X2,X3,X1),X1)|~relation(X2))).
% 45.16/6.94 cnf(i_0_1185, lemma, (empty(X1)|in(esk188_2(X1,X2),esk190_2(X1,X2))|in(X3,esk193_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk192_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1153, lemma, (empty(X1)|in(esk189_2(X1,X2),esk191_2(X1,X2))|in(X3,esk193_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk192_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2319, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|relation(esk403_2(X1,X2))|element(esk402_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2398, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|function(esk409_2(X1,X2))|element(esk408_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2217, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk385_2(X1,X2),esk387_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2232, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|esk392_3(X1,X2,X3)=X3|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1232, lemma, (esk203_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk202_2(X1,X2))|esk200_2(X1,X2)!=esk201_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1722, plain, (esk278_2(X1,X2)=esk279_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk283_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1707, plain, (esk278_2(X1,X2)=esk280_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk283_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_2399, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|relation(esk409_2(X1,X2))|element(esk408_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2163, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk386_2(X1,X2),esk388_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2178, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|esk392_3(X1,X2,X3)=X3|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2244, lemma, (esk392_3(X1,X2,X3)=X3|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1716, plain, (set_difference(esk281_2(X1,X2),unordered_pair(X1,X1))=esk279_2(X1,X2)|in(esk284_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1701, plain, (set_difference(esk282_2(X1,X2),unordered_pair(X1,X1))=esk280_2(X1,X2)|in(esk284_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2382, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|function(esk409_2(X1,X2))|element(esk408_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2383, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|relation(esk409_2(X1,X2))|element(esk408_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2210, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(esk385_2(X1,X2),esk387_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2156, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(esk386_2(X1,X2),esk388_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_233, plain, (unordered_pair(unordered_pair(esk33_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk33_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)),unordered_pair(esk33_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk34_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X3=X1)).
% 45.16/6.94 cnf(i_0_1550, plain, (unordered_pair(unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3)),unordered_pair(esk254_3(X1,X2,X3),esk255_3(X1,X2,X3)))=X3|unordered_pair(esk248_1(X1),esk248_1(X1))=esk249_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1583, plain, (epred2_3(esk258_1(X1),esk257_1(X1),esk256_1(X1))|in(X2,esk259_1(X1))|esk264_4(X1,X2,X2,X3)!=X3|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk263_3(X1,X2,X2)))).
% 45.16/6.94 cnf(i_0_1136, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|esk189_2(X1,X4)!=esk188_2(X1,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk192_2(X1,X4))|~in(X3,esk193_4(X1,X4,X5,X2)))).
% 45.16/6.94 cnf(i_0_2435, lemma, (X1=empty_set|X2=empty_set|in(esk414_2(X3,X1),X1)|in(esk411_2(X4,X2),X2)|~ordinal(X4)|~ordinal(X3)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3)))|~in(X4,omega)|~in(X4,esk410_0)|~in(X3,omega))).
% 45.16/6.94 cnf(i_0_1526, plain, (unordered_pair(unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3)),unordered_pair(esk254_3(X1,X2,X3),esk255_3(X1,X2,X3)))=X3|unordered_pair(esk250_1(X1),esk250_1(X1))=esk251_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2211, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(esk385_2(X1,X2),esk387_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2157, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(esk386_2(X1,X2),esk388_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1283, lemma, (X1=subset_complement(the_carrier(X2),X3)|in(esk204_2(X2,X4),X4)|~one_sorted_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2)))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk207_2(X2,X4)))).
% 45.16/6.94 cnf(i_0_315, plain, (unordered_pair(unordered_pair(esk55_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk54_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)),unordered_pair(esk54_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk54_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X3=X2)).
% 45.16/6.94 cnf(i_0_1560, plain, (unordered_pair(unordered_pair(esk248_1(X1),esk248_1(X1)),unordered_pair(esk248_1(X1),esk249_1(X1)))=esk246_1(X1)|unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3))=esk255_3(X1,X2,X3)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1367, plain, (in(esk217_2(X1,X2),esk219_2(X1,X2))|in(X3,esk221_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk224_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 45.16/6.94 cnf(i_0_2250, lemma, (esk392_3(X1,X2,X3)=X3|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2368, lemma, (apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk407_2(X1,X2),X2)|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_2215, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk385_2(X1,X2),esk387_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1536, plain, (unordered_pair(unordered_pair(esk250_1(X1),esk250_1(X1)),unordered_pair(esk250_1(X1),esk251_1(X1)))=esk247_1(X1)|unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3))=esk255_3(X1,X2,X3)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1343, plain, (in(esk218_2(X1,X2),esk220_2(X1,X2))|in(X3,esk221_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk224_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 45.16/6.94 cnf(i_0_1291, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk205_2(X1,X2)|in(X3,X2)|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk207_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1281, lemma, (esk208_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk207_2(X1,X2))|in(esk204_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1277, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk206_2(X1,X2)|in(X3,X2)|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk207_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2397, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|relation_dom(esk409_2(X1,X2))=X2|element(esk408_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2161, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk386_2(X1,X2),esk388_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2381, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|relation_dom(esk409_2(X1,X2))=X2|element(esk408_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1991, plain, (in(esk342_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk339_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk341_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1983, plain, (in(esk342_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk340_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk341_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1684, plain, (in(set_difference(cast_as_carrier_subset(X1),esk274_2(X1,X2)),X2)|in(X3,esk276_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1))))).
% 45.16/6.94 cnf(i_0_2209, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk385_2(X1,X2),esk387_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2155, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(esk386_2(X1,X2),esk388_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk390_4(X1,X2,X3,esk389_2(X1,X2)))),X2)|~in(X3,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2292, lemma, (apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk402_3(X1,X2,X4))!=X4|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_2095, lemma, (esk376_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk373_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_1676, plain, (in(set_difference(cast_as_carrier_subset(X1),esk275_2(X1,X2)),X2)|in(X3,esk276_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1))))).
% 45.16/6.94 cnf(i_0_1321, lemma, (X1=empty_set|X2=empty_set|in(esk214_2(X3,X1),X1)|in(esk211_2(X4,X2),X2)|~epred1_0|~ordinal(X4)|~ordinal(X3)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3)))|~in(X4,omega)|~in(X4,esk210_0)|~in(X3,omega))).
% 45.16/6.94 cnf(i_0_2330, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|esk402_3(X1,X2,X3)=esk401_2(X1,X2)|function(esk403_2(X1,X2))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2331, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|esk402_3(X1,X2,X3)=esk401_2(X1,X2)|relation(esk403_2(X1,X2))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2087, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk369_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk372_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5)))).
% 45.16/6.94 cnf(i_0_1368, plain, (in(esk217_2(X1,X2),esk219_2(X1,X2))|in(esk224_5(X1,X2,X3,X4,X4),X4)|in(X3,esk221_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 45.16/6.94 cnf(i_0_1573, plain, (in(esk264_4(X1,X2,X2,X3),esk263_3(X1,X2,X2))|in(X2,esk259_1(X1))|esk257_1(X1)!=esk258_1(X1)|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk263_3(X1,X2,X2)))).
% 45.16/6.94 cnf(i_0_1231, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk202_2(X3,X4))|subset_complement(the_carrier(X3),esk203_4(X3,X4,X1,X2))!=X2|esk200_2(X3,X4)!=esk201_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,complements_of_subsets(the_carrier(X3),X4)))).
% 45.16/6.94 cnf(i_0_1344, plain, (in(esk218_2(X1,X2),esk220_2(X1,X2))|in(esk224_5(X1,X2,X3,X4,X4),X4)|in(X3,esk221_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 45.16/6.94 cnf(i_0_2314, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|esk402_3(X1,X2,X3)=esk401_2(X1,X2)|function(esk403_2(X1,X2))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_287, plain, (inclusion_relation(relation_field(X1))=X1|subset(esk48_2(relation_field(X1),X1),esk49_2(relation_field(X1),X1))|in(unordered_pair(unordered_pair(esk48_2(relation_field(X1),X1),esk48_2(relation_field(X1),X1)),unordered_pair(esk48_2(relation_field(X1),X1),esk49_2(relation_field(X1),X1))),X1)|~relation(X1))).
% 45.16/6.94 cnf(i_0_2315, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|esk402_3(X1,X2,X3)=esk401_2(X1,X2)|relation(esk403_2(X1,X2))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1665, plain, (esk265_2(X1,X2)=esk266_2(X1,X2)|in(X3,esk270_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 45.16/6.94 cnf(i_0_1630, plain, (esk265_2(X1,X2)=esk267_2(X1,X2)|in(X3,esk270_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 45.16/6.94 cnf(i_0_2394, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|esk408_3(X1,X2,X3)=esk407_2(X1,X2)|function(esk409_2(X1,X2))|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2395, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|esk408_3(X1,X2,X3)=esk407_2(X1,X2)|relation(esk409_2(X1,X2))|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2050, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk351_3(X3,X4,X5))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk355_7(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2,X1))),X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X5))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_2378, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|esk408_3(X1,X2,X3)=esk407_2(X1,X2)|function(esk409_2(X1,X2))|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1651, plain, (esk268_2(X1,X2)=esk266_2(X1,X2)|in(X3,esk270_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 45.16/6.94 cnf(i_0_1616, plain, (esk269_2(X1,X2)=esk267_2(X1,X2)|in(X3,esk270_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 45.16/6.94 cnf(i_0_2379, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|esk408_3(X1,X2,X3)=esk407_2(X1,X2)|relation(esk409_2(X1,X2))|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1893, plain, (subset_complement(the_carrier(X1),esk313_2(X1,X2))=esk314_2(X1,X2)|in(esk319_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(esk313_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_176, plain, (in(unordered_pair(unordered_pair(X1,esk17_4(X2,X3,relation_image(X2,X3),X1)),unordered_pair(esk17_4(X2,X3,relation_image(X2,X3),X1),esk17_4(X2,X3,relation_image(X2,X3),X1))),X2)|~relation(X2)|~in(X1,relation_image(X2,X3)))).
% 45.16/6.94 cnf(i_0_1861, plain, (subset_complement(the_carrier(X1),esk315_2(X1,X2))=esk316_2(X1,X2)|in(esk319_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(esk315_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1637, plain, (subset(X1,esk266_2(X2,X1))|in(X3,esk270_2(X2,X1))|~closed_subset(X3,X2)|~topological_space(X2)|~top_str(X2)|~subset(X1,X3)|~element(X1,powerset(the_carrier(X2)))|~in(X3,powerset(the_carrier(X2))))).
% 45.16/6.94 cnf(i_0_1602, plain, (subset(X1,esk267_2(X2,X1))|in(X3,esk270_2(X2,X1))|~closed_subset(X3,X2)|~topological_space(X2)|~top_str(X2)|~subset(X1,X3)|~element(X1,powerset(the_carrier(X2)))|~in(X3,powerset(the_carrier(X2))))).
% 45.16/6.94 cnf(i_0_2204, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X3),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,esk387_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2338, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|function(esk403_2(X1,X2))|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2339, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|relation(esk403_2(X1,X2))|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2150, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X3),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,esk388_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1644, plain, (closed_subset(esk268_2(X1,X2),X1)|in(X3,esk270_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 45.16/6.94 cnf(i_0_1609, plain, (closed_subset(esk269_2(X1,X2),X1)|in(X3,esk270_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 45.16/6.94 cnf(i_0_2205, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X3),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,esk387_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2322, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|function(esk403_2(X1,X2))|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2323, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|relation(esk403_2(X1,X2))|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1547, plain, (unordered_pair(esk248_1(X1),esk248_1(X1))=esk249_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk252_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_2151, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X3),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,esk388_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1988, plain, (in(relation_image(X1,esk339_3(X2,X3,X1)),X3)|in(X4,esk341_3(X2,X3,X1))|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,powerset(relation_dom(X1)))|~in(relation_image(X1,X4),X3))).
% 45.16/6.94 cnf(i_0_1980, plain, (in(relation_image(X1,esk340_3(X2,X3,X1)),X3)|in(X4,esk341_3(X2,X3,X1))|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,powerset(relation_dom(X1)))|~in(relation_image(X1,X4),X3))).
% 45.16/6.94 cnf(i_0_352, plain, (unordered_pair(unordered_pair(esk67_3(X1,X2,X3),esk67_3(X1,X2,X3)),unordered_pair(esk67_3(X1,X2,X3),esk68_3(X1,X2,X3)))=esk66_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk66_3(X1,X2,X3),X3))).
% 45.16/6.94 cnf(i_0_1739, plain, (element(esk291_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(esk286_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk289_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1839, plain, (subset_complement(the_carrier(X1),esk304_2(X1,X2))=esk305_2(X1,X2)|in(X3,esk307_2(X1,X2))|subset_complement(the_carrier(X1),esk309_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk304_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 45.16/6.94 cnf(i_0_1590, plain, (X1=empty_set|epred2_3(esk258_1(X2),esk257_1(X2),esk256_1(X2))|in(esk262_3(X2,X3,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(esk261_2(X2,X3))))|~in(esk261_2(X2,X3),omega)|~in(X3,esk259_1(X2)))).
% 45.16/6.94 cnf(i_0_1369, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk217_2(X1,X4),esk219_2(X1,X4))|~relation(X4)|~in(X3,esk223_3(X1,X4,X2))|~in(X2,esk221_2(X1,X4)))).
% 45.16/6.94 cnf(i_0_2393, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|esk408_3(X1,X2,X3)=esk407_2(X1,X2)|relation_dom(esk409_2(X1,X2))=X2|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1829, plain, (subset_complement(the_carrier(X1),esk304_2(X1,X2))=esk306_2(X1,X2)|in(X3,esk307_2(X1,X2))|subset_complement(the_carrier(X1),esk309_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk304_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 45.16/6.94 cnf(i_0_1523, plain, (unordered_pair(esk250_1(X1),esk250_1(X1))=esk251_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk252_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_2377, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|esk408_3(X1,X2,X3)=esk407_2(X1,X2)|relation_dom(esk409_2(X1,X2))=X2|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1345, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk218_2(X1,X4),esk220_2(X1,X4))|~relation(X4)|~in(X3,esk223_3(X1,X4,X2))|~in(X2,esk221_2(X1,X4)))).
% 45.16/6.94 cnf(i_0_1589, plain, (X1=esk262_3(X2,X3,X4)|X4=empty_set|epred2_3(esk258_1(X2),esk257_1(X2),esk256_1(X2))|~subset(esk262_3(X2,X3,X4),X1)|~ordinal(X2)|~element(X4,powerset(powerset(esk261_2(X2,X3))))|~in(esk261_2(X2,X3),omega)|~in(X3,esk259_1(X2))|~in(X1,X4))).
% 45.16/6.94 cnf(i_0_225, plain, (X1=boole_lattice(X2)|apply_binary(the_L_join(X1),esk31_2(X2,X1),esk32_2(X2,X1))!=subset_union2(X2,esk31_2(X2,X1),esk32_2(X2,X1))|apply_binary(the_L_meet(X1),esk31_2(X2,X1),esk32_2(X2,X1))!=subset_intersection2(X2,esk31_2(X2,X1),esk32_2(X2,X1))|powerset(X2)!=the_carrier(X1)|~strict_latt_str(X1)|~latt_str(X1))).
% 45.16/6.94 cnf(i_0_536, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_composition(X3,X4))|~relation(X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),X4)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X3))).
% 45.16/6.94 cnf(i_0_2203, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X3),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,esk387_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2333, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk402_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_2317, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk402_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_357, plain, (unordered_pair(unordered_pair(esk64_4(X1,X2,cartesian_product2(X1,X2),X3),esk64_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk64_4(X1,X2,cartesian_product2(X1,X2),X3),esk65_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2149, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X3),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,esk388_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2434, lemma, (X1=esk414_2(X2,X3)|X3=empty_set|X4=empty_set|in(esk411_2(X5,X4),X4)|~subset(esk414_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X4,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk410_0)|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_2433, lemma, (X1=esk411_2(X2,X3)|X4=empty_set|X3=empty_set|in(esk414_2(X5,X4),X4)|~subset(esk411_2(X2,X3),X1)|~ordinal(X2)|~ordinal(X5)|~element(X3,powerset(powerset(X2)))|~element(X4,powerset(powerset(X5)))|~in(X2,omega)|~in(X2,esk410_0)|~in(X5,omega)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1713, plain, (set_difference(esk281_2(X1,X2),unordered_pair(X1,X1))=esk279_2(X1,X2)|set_difference(esk285_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1840, plain, (subset_complement(the_carrier(X1),esk304_2(X1,X2))=esk305_2(X1,X2)|esk309_4(X1,X2,X3,X4)=X4|in(X3,esk307_2(X1,X2))|~one_sorted_str(X1)|~element(esk304_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 45.16/6.94 cnf(i_0_1830, plain, (subset_complement(the_carrier(X1),esk304_2(X1,X2))=esk306_2(X1,X2)|esk309_4(X1,X2,X3,X4)=X4|in(X3,esk307_2(X1,X2))|~one_sorted_str(X1)|~element(esk304_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 45.16/6.94 cnf(i_0_1849, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk317_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk321_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|esk312_2(X3,X4)!=esk311_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5)))).
% 45.16/6.94 cnf(i_0_1698, plain, (set_difference(esk282_2(X1,X2),unordered_pair(X1,X1))=esk280_2(X1,X2)|set_difference(esk285_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk283_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1717, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk283_2(X2,X3))|in(esk281_2(X2,X3),X3)|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1702, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk283_2(X2,X3))|in(esk282_2(X2,X3),X3)|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_956, lemma, (X1=X2|in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)|~connected(X3)|~relation(X3)|~in(X2,relation_field(X3))|~in(X1,relation_field(X3)))).
% 45.16/6.94 cnf(i_0_1746, plain, (subset_complement(the_carrier(X1),esk286_2(X1,X2))=esk287_2(X1,X2)|in(esk290_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk286_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk289_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1736, plain, (subset_complement(the_carrier(X1),esk286_2(X1,X2))=esk288_2(X1,X2)|in(esk290_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk286_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk289_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2088, lemma, (esk372_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk369_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1192, lemma, (esk190_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X3),unordered_pair(X5,X5)),esk192_2(X1,X2))|~in(X4,esk193_4(X1,X2,X5,X3)))).
% 45.16/6.94 cnf(i_0_1160, lemma, (esk191_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X3),unordered_pair(X5,X5)),esk192_2(X1,X2))|~in(X4,esk193_4(X1,X2,X5,X3)))).
% 45.16/6.94 cnf(i_0_2117, lemma, (in(apply(esk391_2(X1,X2),X3),esk392_3(X1,X2,X3))|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2416, lemma, (apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk404_2(X1,X2),X2)|in(esk407_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_2364, lemma, (apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk408_3(X1,X2,X4),powerset(the_carrier(X1)))|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_2101, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk377_3(X3,X4,X5))|~relation(X4)|~relation(X5)|~function(X5)|~in(unordered_pair(unordered_pair(apply(X5,X1),apply(X5,X2)),unordered_pair(apply(X5,X1),apply(X5,X1))),X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X3)))).
% 45.16/6.94 cnf(i_0_2566, lemma, (in(unordered_pair(unordered_pair(X1,esk431_4(X2,X3,X4,X1)),unordered_pair(esk431_4(X2,X3,X4,X1),esk431_4(X2,X3,X4,X1))),X4)|relation_rng_as_subset(X2,X3,X4)!=X3|~relation_of2_as_subset(X4,X2,X3)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1320, lemma, (X1=esk214_2(X2,X3)|X3=empty_set|X4=empty_set|in(esk211_2(X5,X4),X4)|~epred1_0|~subset(esk214_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X4,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk210_0)|~in(X2,omega)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1319, lemma, (X1=esk211_2(X2,X3)|X4=empty_set|X3=empty_set|in(esk214_2(X5,X4),X4)|~epred1_0|~subset(esk211_2(X2,X3),X1)|~ordinal(X2)|~ordinal(X5)|~element(X3,powerset(powerset(X2)))|~element(X4,powerset(powerset(X5)))|~in(X2,omega)|~in(X2,esk210_0)|~in(X5,omega)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_2329, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk402_3(X1,X2,X3)=esk401_2(X1,X2)|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1256, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk200_2(X1,X2)|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk202_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2214, lemma, (esk392_3(X1,X2,X3)=X3|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk385_2(X1,X2),esk387_2(X1,X2))|~relation(X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1242, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk201_2(X1,X2)|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk202_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2208, lemma, (esk392_3(X1,X2,X3)=X3|in(esk385_2(X1,X2),esk387_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2313, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk402_3(X1,X2,X3)=esk401_2(X1,X2)|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1742, plain, (subset_complement(the_carrier(X1),esk286_2(X1,X2))=esk287_2(X1,X2)|in(X3,esk289_2(X1,X2))|subset_complement(the_carrier(X1),esk291_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk286_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1732, plain, (subset_complement(the_carrier(X1),esk286_2(X1,X2))=esk288_2(X1,X2)|in(X3,esk289_2(X1,X2))|subset_complement(the_carrier(X1),esk291_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk286_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_2160, lemma, (esk392_3(X1,X2,X3)=X3|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk386_2(X1,X2),esk388_2(X1,X2))|~relation(X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_172, plain, (X1=relation_image(X2,X3)|in(unordered_pair(unordered_pair(esk18_3(X2,X3,X1),esk19_3(X2,X3,X1)),unordered_pair(esk19_3(X2,X3,X1),esk19_3(X2,X3,X1))),X2)|in(esk18_3(X2,X3,X1),X1)|~relation(X2))).
% 45.16/6.94 cnf(i_0_2154, lemma, (esk392_3(X1,X2,X3)=X3|in(esk386_2(X1,X2),esk388_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1819, plain, (subset_complement(the_carrier(X1),esk301_4(X1,X2,X3,X4))=esk302_4(X1,X2,X3,X4)|esk292_2(X1,X2)=esk293_2(X1,X2)|~one_sorted_str(X1)|~element(esk301_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1787, plain, (subset_complement(the_carrier(X1),esk301_4(X1,X2,X3,X4))=esk302_4(X1,X2,X3,X4)|esk292_2(X1,X2)=esk294_2(X1,X2)|~one_sorted_str(X1)|~element(esk301_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1658, plain, (element(esk268_2(X1,X2),powerset(the_carrier(X1)))|in(X3,esk270_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 45.16/6.94 cnf(i_0_1623, plain, (element(esk269_2(X1,X2),powerset(the_carrier(X1)))|in(X3,esk270_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 45.16/6.94 cnf(i_0_2051, lemma, (in(esk355_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4),X4)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk351_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_178, plain, (X1=relation_inverse_image(X2,X3)|in(unordered_pair(unordered_pair(esk21_3(X2,X3,X1),esk21_3(X2,X3,X1)),unordered_pair(esk21_3(X2,X3,X1),esk22_3(X2,X3,X1))),X2)|in(esk21_3(X2,X3,X1),X1)|~relation(X2))).
% 45.16/6.94 cnf(i_0_1916, plain, (subset_complement(the_carrier(X1),esk319_4(X1,X2,X3,X4))=esk320_4(X1,X2,X3,X4)|esk310_2(X1,X2)=esk311_2(X1,X2)|~one_sorted_str(X1)|~element(esk319_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1884, plain, (subset_complement(the_carrier(X1),esk319_4(X1,X2,X3,X4))=esk320_4(X1,X2,X3,X4)|esk310_2(X1,X2)=esk312_2(X1,X2)|~one_sorted_str(X1)|~element(esk319_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1491, plain, (unordered_pair(unordered_pair(esk228_2(X1,X2),esk228_2(X1,X2)),unordered_pair(esk228_2(X1,X2),esk229_2(X1,X2)))=esk226_2(X1,X2)|esk235_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1745, plain, (subset_complement(the_carrier(X1),esk286_2(X1,X2))=esk287_2(X1,X2)|subset_complement(the_carrier(X1),esk290_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk290_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk286_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk289_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2123, lemma, (in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(apply(esk391_2(X1,X2),X4),esk392_3(X1,X2,X4))|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(X3,esk389_2(X1,X2))|~in(X4,X1))).
% 45.16/6.94 cnf(i_0_1437, plain, (unordered_pair(unordered_pair(esk231_2(X1,X2),esk231_2(X1,X2)),unordered_pair(esk231_2(X1,X2),esk232_2(X1,X2)))=esk227_2(X1,X2)|esk235_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1900, plain, (subset_complement(the_carrier(X1),esk319_4(X1,X2,X3,X4))=esk320_4(X1,X2,X3,X4)|in(esk313_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk319_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1868, plain, (subset_complement(the_carrier(X1),esk319_4(X1,X2,X3,X4))=esk320_4(X1,X2,X3,X4)|in(esk315_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk319_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1268, lemma, (element(esk208_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk207_2(X1,X2))|esk205_2(X1,X2)!=esk206_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1735, plain, (subset_complement(the_carrier(X1),esk286_2(X1,X2))=esk288_2(X1,X2)|subset_complement(the_carrier(X1),esk290_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk290_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk286_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk289_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1842, plain, (subset_complement(the_carrier(X1),esk304_2(X1,X2))=esk305_2(X1,X2)|subset_complement(the_carrier(X1),esk308_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk308_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk304_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1913, plain, (esk310_2(X1,X2)=esk311_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk317_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk321_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 45.16/6.94 cnf(i_0_2337, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1134, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk192_2(X3,X4))|esk189_2(X3,X4)!=esk188_2(X3,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk194_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_2321, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|relation_dom(esk403_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 45.16/6.94 cnf(i_0_1832, plain, (subset_complement(the_carrier(X1),esk304_2(X1,X2))=esk306_2(X1,X2)|subset_complement(the_carrier(X1),esk308_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk308_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk304_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1881, plain, (esk310_2(X1,X2)=esk312_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk317_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk321_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 45.16/6.94 cnf(i_0_1248, lemma, (X1=subset_complement(the_carrier(X2),X3)|in(esk199_2(X2,X4),complements_of_subsets(the_carrier(X2),X4))|~one_sorted_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2)))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk202_2(X2,X4)))).
% 45.16/6.94 cnf(i_0_1280, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk207_2(X3,X4))|in(esk204_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk208_4(X3,X4,X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,X4))).
% 45.16/6.94 cnf(i_0_2432, lemma, (X1=esk414_2(X2,X3)|X4=esk411_2(X5,X6)|X3=empty_set|X6=empty_set|~subset(esk411_2(X5,X6),X4)|~subset(esk414_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X6,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk410_0)|~in(X2,omega)|~in(X4,X6)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_2056, lemma, (unordered_pair(unordered_pair(esk352_4(X1,X2,X3,X4),esk352_4(X1,X2,X3,X4)),unordered_pair(esk352_4(X1,X2,X3,X4),esk353_4(X1,X2,X3,X4)))=X4|empty(X1)|~relation(X2)|~in(X4,esk351_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1743, plain, (subset_complement(the_carrier(X1),esk286_2(X1,X2))=esk287_2(X1,X2)|esk291_4(X1,X2,X3,X4)=X4|in(X3,esk289_2(X1,X2))|~one_sorted_str(X1)|~element(esk286_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_2096, lemma, (element(esk376_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk373_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_545, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~is_transitive_in(X3,X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),X3)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X3)|~in(X2,X4)|~in(X5,X4)|~in(X1,X4))).
% 45.16/6.94 cnf(i_0_1326, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk215_3(X3,X4,X5))|~relation(X4)|~relation(X5)|~function(X5)|~in(unordered_pair(unordered_pair(apply(X5,X1),apply(X5,X2)),unordered_pair(apply(X5,X1),apply(X5,X1))),X4)|~in(X2,X3)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_480, plain, (X1=X2|in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)|~is_connected_in(X3,X4)|~relation(X3)|~in(X2,X4)|~in(X1,X4))).
% 45.16/6.94 cnf(i_0_1318, lemma, (X1=esk214_2(X2,X3)|X4=esk211_2(X5,X6)|X3=empty_set|X6=empty_set|~epred1_0|~subset(esk211_2(X5,X6),X4)|~subset(esk214_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X6,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk210_0)|~in(X2,omega)|~in(X4,X6)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1733, plain, (subset_complement(the_carrier(X1),esk286_2(X1,X2))=esk288_2(X1,X2)|esk291_4(X1,X2,X3,X4)=X4|in(X3,esk289_2(X1,X2))|~one_sorted_str(X1)|~element(esk286_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_2300, lemma, (apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk402_3(X1,X2,X4),powerset(the_carrier(X1)))|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1850, plain, (esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|esk312_2(X1,X2)!=esk311_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_128, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk4_3(X2,X3,X1),esk4_3(X2,X3,X1)),unordered_pair(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1))),X1)|in(esk4_3(X2,X3,X1),X3)|~relation(X1)|~relation(X2))).
% 45.16/6.94 cnf(i_0_1168, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk187_2(X1,X4),X1)|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk192_2(X1,X4))|~in(X3,esk193_4(X1,X4,X5,X2)))).
% 45.16/6.94 cnf(i_0_1135, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk192_2(X3,X4))|in(esk194_5(X3,X4,X1,X2,X1),X1)|esk189_2(X3,X4)!=esk188_2(X3,X4)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_142, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk10_3(X2,X3,X1),esk9_3(X2,X3,X1)),unordered_pair(esk9_3(X2,X3,X1),esk9_3(X2,X3,X1))),X1)|in(esk10_3(X2,X3,X1),X2)|~relation(X1)|~relation(X3))).
% 45.16/6.94 cnf(i_0_2404, lemma, (apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk404_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk408_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1896, plain, (subset_complement(the_carrier(X1),esk313_2(X1,X2))=esk314_2(X1,X2)|in(esk318_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(esk313_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2231, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(apply(esk391_2(X1,X2),X4),esk392_3(X1,X2,X4))|~relation(X2)|~in(X3,esk389_2(X1,X2))|~in(X4,X1))).
% 45.16/6.94 cnf(i_0_2225, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|in(apply(esk391_2(X1,X2),X3),esk392_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2171, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|in(apply(esk391_2(X1,X2),X3),esk392_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1489, plain, (unordered_pair(unordered_pair(esk228_2(X1,X2),esk228_2(X1,X2)),unordered_pair(esk228_2(X1,X2),esk229_2(X1,X2)))=esk226_2(X1,X2)|empty(X1)|in(esk236_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1864, plain, (subset_complement(the_carrier(X1),esk315_2(X1,X2))=esk316_2(X1,X2)|in(esk318_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(esk315_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1796, plain, (subset_complement(the_carrier(X1),esk295_2(X1,X2))=esk296_2(X1,X2)|in(esk301_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk295_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2177, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(apply(esk391_2(X1,X2),X4),esk392_3(X1,X2,X4))|~relation(X2)|~in(X3,esk389_2(X1,X2))|~in(X4,X1))).
% 45.16/6.94 cnf(i_0_1435, plain, (unordered_pair(unordered_pair(esk231_2(X1,X2),esk231_2(X1,X2)),unordered_pair(esk231_2(X1,X2),esk232_2(X1,X2)))=esk227_2(X1,X2)|empty(X1)|in(esk236_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2243, lemma, (in(apply(esk391_2(X1,X2),X3),esk392_3(X1,X2,X3))|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_490, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation_isomorphism(X3,X4,X5)|~relation(X4)|~relation(X5)|~relation(X3)|~function(X5)|~in(unordered_pair(unordered_pair(apply(X5,X1),apply(X5,X2)),unordered_pair(apply(X5,X1),apply(X5,X1))),X4)|~in(X2,relation_field(X3))|~in(X1,relation_field(X3)))).
% 45.16/6.94 cnf(i_0_1587, plain, (epred2_3(esk258_1(X1),esk257_1(X1),esk256_1(X1))|element(esk263_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk259_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 45.16/6.94 cnf(i_0_1764, plain, (subset_complement(the_carrier(X1),esk297_2(X1,X2))=esk298_2(X1,X2)|in(esk301_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk297_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1841, plain, (subset_complement(the_carrier(X1),esk304_2(X1,X2))=esk305_2(X1,X2)|element(esk309_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk307_2(X1,X2))|~one_sorted_str(X1)|~element(esk304_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 45.16/6.94 cnf(i_0_2249, lemma, (in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(apply(esk391_2(X1,X2),X4),esk392_3(X1,X2,X4))|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(X3,esk389_2(X1,X2))|~in(X4,X1))).
% 45.16/6.94 cnf(i_0_1364, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk217_2(X1,X2),X3),unordered_pair(esk217_2(X1,X2),esk217_2(X1,X2))),X2)|in(X4,esk223_3(X1,X2,X4))|~relation(X2)|~in(X3,esk219_2(X1,X2))|~in(X4,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1327, lemma, (in(unordered_pair(unordered_pair(apply(X1,X2),apply(X1,X3)),unordered_pair(apply(X1,X2),apply(X1,X2))),X4)|~relation(X4)|~relation(X1)|~function(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk215_3(X5,X4,X1)))).
% 45.16/6.94 cnf(i_0_1584, plain, (epred2_3(esk258_1(X1),esk257_1(X1),esk256_1(X1))|subset(X2,esk264_4(X1,X3,X3,X2))|in(X3,esk259_1(X1))|~ordinal(X3)|~ordinal(X1)|~in(X3,set_union2(X1,unordered_pair(X1,X1)))|~in(X2,esk263_3(X1,X3,X3)))).
% 45.16/6.94 cnf(i_0_1340, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk218_2(X1,X2),X3),unordered_pair(esk218_2(X1,X2),esk218_2(X1,X2))),X2)|in(X4,esk223_3(X1,X2,X4))|~relation(X2)|~in(X3,esk220_2(X1,X2))|~in(X4,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1831, plain, (subset_complement(the_carrier(X1),esk304_2(X1,X2))=esk306_2(X1,X2)|element(esk309_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk307_2(X1,X2))|~one_sorted_str(X1)|~element(esk304_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 45.16/6.94 cnf(i_0_2304, lemma, (apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1752, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk299_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk303_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|esk294_2(X3,X4)!=esk293_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5)))).
% 45.16/6.94 cnf(i_0_1366, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk217_2(X1,X2),X3),unordered_pair(esk217_2(X1,X2),esk217_2(X1,X2))),X2)|in(esk222_3(X1,X2,X4),X1)|~relation(X2)|~in(X3,esk219_2(X1,X2))|~in(X4,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1712, plain, (set_difference(esk281_2(X1,X2),unordered_pair(X1,X1))=esk279_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk283_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1342, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk218_2(X1,X2),X3),unordered_pair(esk218_2(X1,X2),esk218_2(X1,X2))),X2)|in(esk222_3(X1,X2,X4),X1)|~relation(X2)|~in(X3,esk220_2(X1,X2))|~in(X4,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2360, lemma, (apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk408_3(X1,X2,X4)=esk407_2(X1,X2)|esk405_2(X1,X2)!=esk406_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1233, lemma, (element(esk203_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk202_2(X1,X2))|esk200_2(X1,X2)!=esk201_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1697, plain, (set_difference(esk282_2(X1,X2),unordered_pair(X1,X1))=esk280_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk283_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1744, plain, (subset_complement(the_carrier(X1),esk286_2(X1,X2))=esk287_2(X1,X2)|element(esk291_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk289_2(X1,X2))|~one_sorted_str(X1)|~element(esk286_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1190, lemma, (esk190_2(X1,X2)=esk187_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk194_5(X1,X2,X3,X4,X3))),X2)|~in(X3,X1)|~in(X4,X3))).
% 45.16/6.94 cnf(i_0_1455, plain, (esk235_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk229_2(X1,X2),X5),unordered_pair(esk229_2(X1,X2),esk229_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3))|~in(X5,esk230_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1734, plain, (subset_complement(the_carrier(X1),esk286_2(X1,X2))=esk288_2(X1,X2)|element(esk291_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk289_2(X1,X2))|~one_sorted_str(X1)|~element(esk286_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1385, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk234_3(X3,X4,X5))|esk227_2(X3,X4)!=esk226_2(X3,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk239_7(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2,X1))),X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X5))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_1401, plain, (esk235_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk232_2(X1,X2),X5),unordered_pair(esk232_2(X1,X2),esk232_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3))|~in(X5,esk233_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1158, lemma, (esk191_2(X1,X2)=esk187_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk194_5(X1,X2,X3,X4,X3))),X2)|~in(X3,X1)|~in(X4,X3))).
% 45.16/6.94 cnf(i_0_2052, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk353_4(X1,X2,X3,X4),X5),unordered_pair(esk353_4(X1,X2,X3,X4),esk353_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk354_4(X1,X2,X3,X4))|~in(X4,esk351_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1179, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk188_2(X1,X2),X3),unordered_pair(esk188_2(X1,X2),esk188_2(X1,X2))),X2)|in(X4,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk192_2(X1,X2))|~in(X3,esk190_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1191, lemma, (esk190_2(X1,X2)=esk187_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2))|in(esk194_5(X1,X2,X3,X4,X3),X3)|~relation(X2)|~in(X4,X3)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2296, lemma, (apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk402_3(X1,X2,X4)=esk401_2(X1,X2)|esk399_2(X1,X2)!=esk400_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1803, plain, (subset_complement(the_carrier(X1),esk301_4(X1,X2,X3,X4))=esk302_4(X1,X2,X3,X4)|in(esk295_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk301_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1897, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk317_3(X3,X4,X5))|in(esk313_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk321_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5)))).
% 45.16/6.94 cnf(i_0_1159, lemma, (esk191_2(X1,X2)=esk187_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2))|in(esk194_5(X1,X2,X3,X4,X3),X3)|~relation(X2)|~in(X4,X3)|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1147, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk189_2(X1,X2),X3),unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2))),X2)|in(X4,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk192_2(X1,X2))|~in(X3,esk191_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_491, plain, (in(unordered_pair(unordered_pair(apply(X1,X2),apply(X1,X3)),unordered_pair(apply(X1,X2),apply(X1,X2))),X4)|~relation_isomorphism(X5,X4,X1)|~relation(X5)|~relation(X4)|~relation(X1)|~function(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X5))).
% 45.16/6.94 cnf(i_0_1246, lemma, (esk203_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk202_2(X1,X2))|in(esk199_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1771, plain, (subset_complement(the_carrier(X1),esk301_4(X1,X2,X3,X4))=esk302_4(X1,X2,X3,X4)|in(esk297_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk301_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2412, lemma, (apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk408_3(X1,X2,X4),powerset(the_carrier(X1)))|in(esk404_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1865, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk317_3(X3,X4,X5))|in(esk315_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk321_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5)))).
% 45.16/6.94 cnf(i_0_1799, plain, (subset_complement(the_carrier(X1),esk295_2(X1,X2))=esk296_2(X1,X2)|in(esk300_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(esk295_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1365, plain, (esk222_3(X1,X2,X3)=esk223_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk217_2(X1,X2),X4),unordered_pair(esk217_2(X1,X2),esk217_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk219_2(X1,X2))|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1341, plain, (esk222_3(X1,X2,X3)=esk223_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk218_2(X1,X2),X4),unordered_pair(esk218_2(X1,X2),esk218_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk220_2(X1,X2))|~in(X3,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_129, plain, (X1=relation_dom_restriction(X2,X3)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk4_3(X2,X3,X1),esk4_3(X2,X3,X1)),unordered_pair(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk4_3(X2,X3,X1),esk4_3(X2,X3,X1)),unordered_pair(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1))),X2)|~in(esk4_3(X2,X3,X1),X3))).
% 45.16/6.94 cnf(i_0_143, plain, (X1=relation_rng_restriction(X2,X3)|~relation(X1)|~relation(X3)|~in(unordered_pair(unordered_pair(esk10_3(X2,X3,X1),esk9_3(X2,X3,X1)),unordered_pair(esk9_3(X2,X3,X1),esk9_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk10_3(X2,X3,X1),esk9_3(X2,X3,X1)),unordered_pair(esk9_3(X2,X3,X1),esk9_3(X2,X3,X1))),X3)|~in(esk10_3(X2,X3,X1),X2))).
% 45.16/6.94 cnf(i_0_1767, plain, (subset_complement(the_carrier(X1),esk297_2(X1,X2))=esk298_2(X1,X2)|in(esk300_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(esk297_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2408, lemma, (apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk408_3(X1,X2,X4)=esk407_2(X1,X2)|in(esk404_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_2089, lemma, (element(esk372_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk369_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1814, plain, (unordered_pair(unordered_pair(esk295_2(X1,X2),esk295_2(X1,X2)),unordered_pair(esk295_2(X1,X2),esk296_2(X1,X2)))=esk293_2(X1,X2)|esk300_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2103, lemma, (unordered_pair(unordered_pair(esk378_4(X1,X2,X3,X4),esk378_4(X1,X2,X3,X4)),unordered_pair(esk378_4(X1,X2,X3,X4),esk379_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk377_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1184, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk188_2(X1,X4),esk190_2(X1,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk192_2(X1,X4))|~in(X3,esk193_4(X1,X4,X5,X2)))).
% 45.16/6.94 cnf(i_0_1782, plain, (unordered_pair(unordered_pair(esk297_2(X1,X2),esk297_2(X1,X2)),unordered_pair(esk297_2(X1,X2),esk298_2(X1,X2)))=esk294_2(X1,X2)|esk300_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1255, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk200_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1)))|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk202_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1241, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk201_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1)))|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk202_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1816, plain, (esk292_2(X1,X2)=esk293_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk299_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk303_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 45.16/6.94 cnf(i_0_1911, plain, (unordered_pair(unordered_pair(esk313_2(X1,X2),esk313_2(X1,X2)),unordered_pair(esk313_2(X1,X2),esk314_2(X1,X2)))=esk311_2(X1,X2)|esk318_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1152, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk189_2(X1,X4),esk191_2(X1,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk192_2(X1,X4))|~in(X3,esk193_4(X1,X4,X5,X2)))).
% 45.16/6.94 cnf(i_0_1879, plain, (unordered_pair(unordered_pair(esk315_2(X1,X2),esk315_2(X1,X2)),unordered_pair(esk315_2(X1,X2),esk316_2(X1,X2)))=esk312_2(X1,X2)|esk318_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1290, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk205_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1)))|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk207_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1276, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk206_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1)))|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk207_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1784, plain, (esk292_2(X1,X2)=esk294_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk299_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk303_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 45.16/6.94 cnf(i_0_1282, lemma, (element(esk208_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk207_2(X1,X2))|in(esk204_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_2340, lemma, (apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk402_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_2352, lemma, (apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1753, plain, (esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|esk294_2(X1,X2)!=esk293_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_2202, lemma, (esk392_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X4),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X4,esk387_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1453, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk229_2(X1,X2),X3),unordered_pair(esk229_2(X1,X2),esk229_2(X1,X2))),X2)|in(esk236_4(X1,X2,X4,X5),X1)|~relation(X2)|~in(X5,esk234_3(X1,X2,X4))|~in(X3,esk230_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1399, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk232_2(X1,X2),X3),unordered_pair(esk232_2(X1,X2),esk232_2(X1,X2))),X2)|in(esk236_4(X1,X2,X4,X5),X1)|~relation(X2)|~in(X5,esk234_3(X1,X2,X4))|~in(X3,esk233_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1166, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk192_2(X3,X4))|in(esk187_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk194_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_2148, lemma, (esk392_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X4),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X4,esk388_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1245, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk202_2(X3,X4))|in(esk199_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk203_4(X3,X4,X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,complements_of_subsets(the_carrier(X3),X4)))).
% 45.16/6.94 cnf(i_0_2092, lemma, (unordered_pair(unordered_pair(esk370_4(X1,X2,X3,X4),esk370_4(X1,X2,X3,X4)),unordered_pair(esk370_4(X1,X2,X3,X4),esk371_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk369_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2099, lemma, (unordered_pair(unordered_pair(esk374_4(X1,X2,X3,X4),esk374_4(X1,X2,X3,X4)),unordered_pair(esk374_4(X1,X2,X3,X4),esk375_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk373_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1386, plain, (in(esk239_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4),X4)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk234_3(X1,X2,X3))|esk227_2(X1,X2)!=esk226_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_1488, plain, (unordered_pair(unordered_pair(esk228_2(X1,X2),esk228_2(X1,X2)),unordered_pair(esk228_2(X1,X2),esk229_2(X1,X2)))=esk226_2(X1,X2)|esk238_4(X1,X2,X3,X4)=esk236_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1434, plain, (unordered_pair(unordered_pair(esk231_2(X1,X2),esk231_2(X1,X2)),unordered_pair(esk231_2(X1,X2),esk232_2(X1,X2)))=esk227_2(X1,X2)|esk238_4(X1,X2,X3,X4)=esk236_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1288, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk205_2(X1,X2)|esk208_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk207_2(X1,X2))|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1274, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk206_2(X1,X2)|esk208_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk207_2(X1,X2))|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1493, plain, (esk225_2(X1,X2)=esk226_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk234_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk239_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4,X3))),X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X1,X5))|~in(X4,X3))).
% 45.16/6.94 cnf(i_0_1492, plain, (unordered_pair(unordered_pair(esk228_2(X1,X2),esk228_2(X1,X2)),unordered_pair(esk228_2(X1,X2),esk229_2(X1,X2)))=esk226_2(X1,X2)|empty(X1)|in(esk235_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1387, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk237_4(X1,X2,X3,X4),X5),unordered_pair(esk237_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4))),X2)|esk227_2(X1,X2)!=esk226_2(X1,X2)|~relation(X2)|~in(X5,esk238_4(X1,X2,X3,X4))|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1438, plain, (unordered_pair(unordered_pair(esk231_2(X1,X2),esk231_2(X1,X2)),unordered_pair(esk231_2(X1,X2),esk232_2(X1,X2)))=esk227_2(X1,X2)|empty(X1)|in(esk235_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1795, plain, (subset_complement(the_carrier(X1),esk301_4(X1,X2,X3,X4))=esk302_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk295_2(X1,X2))=esk296_2(X1,X2)|~one_sorted_str(X1)|~element(esk301_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk295_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1763, plain, (subset_complement(the_carrier(X1),esk301_4(X1,X2,X3,X4))=esk302_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk297_2(X1,X2))=esk298_2(X1,X2)|~one_sorted_str(X1)|~element(esk301_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk297_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1439, plain, (esk225_2(X1,X2)=esk227_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk234_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk239_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4,X3))),X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X1,X5))|~in(X4,X3))).
% 45.16/6.94 cnf(i_0_1909, plain, (unordered_pair(unordered_pair(esk313_2(X1,X2),esk313_2(X1,X2)),unordered_pair(esk313_2(X1,X2),esk314_2(X1,X2)))=esk311_2(X1,X2)|in(esk319_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1178, lemma, (esk193_4(X1,X2,X3,X4)=X3|empty(X1)|in(unordered_pair(unordered_pair(esk188_2(X1,X2),X5),unordered_pair(esk188_2(X1,X2),esk188_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2))|~in(X5,esk190_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1146, lemma, (esk193_4(X1,X2,X3,X4)=X3|empty(X1)|in(unordered_pair(unordered_pair(esk189_2(X1,X2),X5),unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk192_2(X1,X2))|~in(X5,esk191_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1167, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk192_2(X3,X4))|in(esk194_5(X3,X4,X1,X2,X1),X1)|in(esk187_2(X3,X4),X3)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1877, plain, (unordered_pair(unordered_pair(esk315_2(X1,X2),esk315_2(X1,X2)),unordered_pair(esk315_2(X1,X2),esk316_2(X1,X2)))=esk312_2(X1,X2)|in(esk319_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1892, plain, (subset_complement(the_carrier(X1),esk319_4(X1,X2,X3,X4))=esk320_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk313_2(X1,X2))=esk314_2(X1,X2)|~one_sorted_str(X1)|~element(esk319_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk313_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1860, plain, (subset_complement(the_carrier(X1),esk319_4(X1,X2,X3,X4))=esk320_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk315_2(X1,X2))=esk316_2(X1,X2)|~one_sorted_str(X1)|~element(esk319_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk315_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1466, plain, (esk228_2(X1,X2)=esk230_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk234_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk239_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4,X3))),X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X1,X5))|~in(X4,X3))).
% 45.16/6.94 cnf(i_0_1452, plain, (esk238_4(X1,X2,X3,X4)=esk236_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk229_2(X1,X2),X5),unordered_pair(esk229_2(X1,X2),esk229_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3))|~in(X5,esk230_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1398, plain, (esk238_4(X1,X2,X3,X4)=esk236_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk232_2(X1,X2),X5),unordered_pair(esk232_2(X1,X2),esk232_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3))|~in(X5,esk233_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1412, plain, (esk231_2(X1,X2)=esk233_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk234_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk239_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4,X3))),X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X1,X5))|~in(X4,X3))).
% 45.16/6.94 cnf(i_0_1499, plain, (unordered_pair(unordered_pair(esk236_4(X1,X2,X3,X4),esk236_4(X1,X2,X3,X4)),unordered_pair(esk236_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4)))=X4|esk225_2(X1,X2)=esk226_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2348, lemma, (apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk402_3(X1,X2,X4),powerset(the_carrier(X1)))|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_2388, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk408_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1921, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk329_3(X3,X4,X5))|esk324_3(X3,X4,X5)!=esk323_3(X3,X4,X5)|~relation(X4)|~relation(X5)|~function(X5)|~in(unordered_pair(unordered_pair(apply(X5,X1),apply(X5,X2)),unordered_pair(apply(X5,X1),apply(X5,X1))),X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X3)))).
% 45.16/6.94 cnf(i_0_1445, plain, (unordered_pair(unordered_pair(esk236_4(X1,X2,X3,X4),esk236_4(X1,X2,X3,X4)),unordered_pair(esk236_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4)))=X4|esk225_2(X1,X2)=esk227_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1585, plain, (epred2_3(esk258_1(X1),esk257_1(X1),esk256_1(X1))|in(esk264_4(X1,X2,X2,X3),esk263_3(X1,X2,X2))|in(X2,esk259_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk263_3(X1,X2,X2)))).
% 45.16/6.94 cnf(i_0_1391, plain, (unordered_pair(unordered_pair(esk236_4(X1,X2,X3,X4),esk236_4(X1,X2,X3,X4)),unordered_pair(esk236_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4)))=X4|empty(X1)|esk227_2(X1,X2)!=esk226_2(X1,X2)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1472, plain, (unordered_pair(unordered_pair(esk236_4(X1,X2,X3,X4),esk236_4(X1,X2,X3,X4)),unordered_pair(esk236_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4)))=X4|esk228_2(X1,X2)=esk230_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2207, lemma, (in(apply(esk391_2(X1,X2),X3),esk392_3(X1,X2,X3))|in(esk385_2(X1,X2),esk387_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2372, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk408_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1914, plain, (esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk310_2(X1,X2)=esk311_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_2344, lemma, (apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk402_3(X1,X2,X4)=esk401_2(X1,X2)|in(esk398_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_2153, lemma, (in(apply(esk391_2(X1,X2),X3),esk392_3(X1,X2,X3))|in(esk386_2(X1,X2),esk388_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X4,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1418, plain, (unordered_pair(unordered_pair(esk236_4(X1,X2,X3,X4),esk236_4(X1,X2,X3,X4)),unordered_pair(esk236_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4)))=X4|esk231_2(X1,X2)=esk233_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1253, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk200_2(X1,X2)|esk203_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk202_2(X1,X2))|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1239, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk201_2(X1,X2)|esk203_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk202_2(X1,X2))|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1882, plain, (esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk310_2(X1,X2)=esk312_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_1481, plain, (unordered_pair(unordered_pair(esk236_4(X1,X2,X3,X4),esk236_4(X1,X2,X3,X4)),unordered_pair(esk236_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk228_2(X1,X2),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1923, plain, (unordered_pair(unordered_pair(esk331_4(X1,X2,X3,X4),esk331_4(X1,X2,X3,X4)),unordered_pair(esk331_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)))=X4|esk324_3(X1,X2,X3)!=esk323_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1427, plain, (unordered_pair(unordered_pair(esk236_4(X1,X2,X3,X4),esk236_4(X1,X2,X3,X4)),unordered_pair(esk236_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk231_2(X1,X2),X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2400, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk407_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_2384, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk407_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1898, plain, (esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|in(esk313_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_1562, plain, (unordered_pair(unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3)),unordered_pair(esk254_3(X1,X2,X3),esk255_3(X1,X2,X3)))=X3|unordered_pair(unordered_pair(esk248_1(X1),esk248_1(X1)),unordered_pair(esk248_1(X1),esk249_1(X1)))=esk246_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1538, plain, (unordered_pair(unordered_pair(esk254_3(X1,X2,X3),esk254_3(X1,X2,X3)),unordered_pair(esk254_3(X1,X2,X3),esk255_3(X1,X2,X3)))=X3|unordered_pair(unordered_pair(esk250_1(X1),esk250_1(X1)),unordered_pair(esk250_1(X1),esk251_1(X1)))=esk247_1(X1)|~in(X3,esk252_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1247, lemma, (element(esk203_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk202_2(X1,X2))|in(esk199_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1287, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk205_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk207_2(X1,X2))|subset_complement(the_carrier(X1),esk208_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1866, plain, (esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|in(esk315_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_1456, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk229_2(X1,X2),X3),unordered_pair(esk229_2(X1,X2),esk229_2(X1,X2))),X2)|in(esk235_4(X1,X2,X4,X5),cartesian_product2(X1,X4))|~relation(X2)|~in(X5,esk234_3(X1,X2,X4))|~in(X3,esk230_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1757, plain, (unordered_pair(unordered_pair(esk301_4(X1,X2,X3,X4),esk301_4(X1,X2,X3,X4)),unordered_pair(esk301_4(X1,X2,X3,X4),esk302_4(X1,X2,X3,X4)))=X4|esk294_2(X1,X2)!=esk293_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1854, plain, (unordered_pair(unordered_pair(esk319_4(X1,X2,X3,X4),esk319_4(X1,X2,X3,X4)),unordered_pair(esk319_4(X1,X2,X3,X4),esk320_4(X1,X2,X3,X4)))=X4|esk312_2(X1,X2)!=esk311_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1402, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk232_2(X1,X2),X3),unordered_pair(esk232_2(X1,X2),esk232_2(X1,X2))),X2)|in(esk235_4(X1,X2,X4,X5),cartesian_product2(X1,X4))|~relation(X2)|~in(X5,esk234_3(X1,X2,X4))|~in(X3,esk233_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1912, plain, (unordered_pair(unordered_pair(esk313_2(X1,X2),esk313_2(X1,X2)),unordered_pair(esk313_2(X1,X2),esk314_2(X1,X2)))=esk311_2(X1,X2)|in(esk318_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1273, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk206_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk207_2(X1,X2))|subset_complement(the_carrier(X1),esk208_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_2324, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk402_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1851, plain, (element(esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|esk312_2(X1,X2)!=esk311_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_1880, plain, (unordered_pair(unordered_pair(esk315_2(X1,X2),esk315_2(X1,X2)),unordered_pair(esk315_2(X1,X2),esk316_2(X1,X2)))=esk312_2(X1,X2)|in(esk318_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1495, plain, (esk225_2(X1,X2)=esk226_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk237_4(X1,X2,X3,X4),X5),unordered_pair(esk237_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk238_4(X1,X2,X3,X4))|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1441, plain, (esk225_2(X1,X2)=esk227_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk237_4(X1,X2,X3,X4),X5),unordered_pair(esk237_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk238_4(X1,X2,X3,X4))|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1468, plain, (esk228_2(X1,X2)=esk230_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk237_4(X1,X2,X3,X4),X5),unordered_pair(esk237_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk238_4(X1,X2,X3,X4))|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1487, plain, (unordered_pair(unordered_pair(esk228_2(X1,X2),esk228_2(X1,X2)),unordered_pair(esk228_2(X1,X2),esk229_2(X1,X2)))=esk226_2(X1,X2)|empty(X1)|in(esk237_4(X1,X2,X3,X4),esk238_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2308, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk402_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_2396, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk408_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1467, plain, (esk228_2(X1,X2)=esk230_2(X1,X2)|in(esk239_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4),X4)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk234_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_1433, plain, (unordered_pair(unordered_pair(esk231_2(X1,X2),esk231_2(X1,X2)),unordered_pair(esk231_2(X1,X2),esk232_2(X1,X2)))=esk227_2(X1,X2)|empty(X1)|in(esk237_4(X1,X2,X3,X4),esk238_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1414, plain, (esk231_2(X1,X2)=esk233_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk237_4(X1,X2,X3,X4),X5),unordered_pair(esk237_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk238_4(X1,X2,X3,X4))|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1477, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk237_4(X1,X2,X3,X4),X5),unordered_pair(esk237_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4))),X2)|in(esk228_2(X1,X2),X1)|~relation(X2)|~in(X5,esk238_4(X1,X2,X3,X4))|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1423, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk237_4(X1,X2,X3,X4),X5),unordered_pair(esk237_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4))),X2)|in(esk231_2(X1,X2),X1)|~relation(X2)|~in(X5,esk238_4(X1,X2,X3,X4))|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1183, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk192_2(X3,X4))|in(esk188_2(X3,X4),esk190_2(X3,X4))|in(esk194_5(X3,X4,X1,X2,X1),X1)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1182, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk192_2(X3,X4))|in(esk188_2(X3,X4),esk190_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk194_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_2380, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk408_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1413, plain, (esk231_2(X1,X2)=esk233_2(X1,X2)|in(esk239_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4),X4)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk234_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_1151, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk192_2(X3,X4))|in(esk189_2(X3,X4),esk191_2(X3,X4))|in(esk194_5(X3,X4,X1,X2,X1),X1)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 45.16/6.94 cnf(i_0_1150, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk192_2(X3,X4))|in(esk189_2(X3,X4),esk191_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk194_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_1475, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk234_3(X3,X4,X5))|in(esk228_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk239_7(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2,X1))),X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X5))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_1463, plain, (unordered_pair(unordered_pair(esk236_4(X1,X2,X3,X4),esk236_4(X1,X2,X3,X4)),unordered_pair(esk236_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk229_2(X1,X2),esk230_2(X1,X2))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1252, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk200_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk202_2(X1,X2))|subset_complement(the_carrier(X1),esk203_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1238, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk201_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk202_2(X1,X2))|subset_complement(the_carrier(X1),esk203_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_2213, lemma, (in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(apply(esk391_2(X1,X2),X4),esk392_3(X1,X2,X4))|in(esk385_2(X1,X2),esk387_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2))|~in(X4,X1))).
% 45.16/6.94 cnf(i_0_1409, plain, (unordered_pair(unordered_pair(esk236_4(X1,X2,X3,X4),esk236_4(X1,X2,X3,X4)),unordered_pair(esk236_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk232_2(X1,X2),esk233_2(X1,X2))|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1421, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk234_3(X3,X4,X5))|in(esk231_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk239_7(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2,X1))),X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X5))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_535, plain, (X1=relation_composition(X2,X3)|~relation(X1)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk112_3(X2,X3,X1),esk112_3(X2,X3,X1)),unordered_pair(esk112_3(X2,X3,X1),esk113_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk112_3(X2,X3,X1),X4),unordered_pair(esk112_3(X2,X3,X1),esk112_3(X2,X3,X1))),X2)|~in(unordered_pair(unordered_pair(X4,esk113_3(X2,X3,X1)),unordered_pair(X4,X4)),X3))).
% 45.16/6.94 cnf(i_0_1812, plain, (unordered_pair(unordered_pair(esk295_2(X1,X2),esk295_2(X1,X2)),unordered_pair(esk295_2(X1,X2),esk296_2(X1,X2)))=esk293_2(X1,X2)|in(esk301_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1780, plain, (unordered_pair(unordered_pair(esk297_2(X1,X2),esk297_2(X1,X2)),unordered_pair(esk297_2(X1,X2),esk298_2(X1,X2)))=esk294_2(X1,X2)|in(esk301_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2392, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk405_2(X1,X2)|apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk408_3(X1,X2,X4)=esk407_2(X1,X2)|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_2159, lemma, (in(esk390_4(X1,X2,X3,esk389_2(X1,X2)),esk389_2(X1,X2))|in(apply(esk391_2(X1,X2),X4),esk392_3(X1,X2,X4))|in(esk386_2(X1,X2),esk388_2(X1,X2))|~relation(X2)|~in(X3,esk389_2(X1,X2))|~in(X4,X1))).
% 45.16/6.94 cnf(i_0_1949, plain, (unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)))=esk323_3(X1,X2,X3)|esk330_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1934, plain, (unordered_pair(unordered_pair(esk327_3(X1,X2,X3),esk327_3(X1,X2,X3)),unordered_pair(esk327_3(X1,X2,X3),esk328_3(X1,X2,X3)))=esk324_3(X1,X2,X3)|esk330_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2376, lemma, (subset_complement(the_carrier(X1),esk404_2(X1,X2))=esk406_2(X1,X2)|apply(esk409_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk408_3(X1,X2,X4)=esk407_2(X1,X2)|~one_sorted_str(X1)|~element(esk404_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_2332, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk402_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_537, plain, (in(unordered_pair(unordered_pair(X1,esk111_5(X2,X3,relation_composition(X2,X3),X4,X1)),unordered_pair(esk111_5(X2,X3,relation_composition(X2,X3),X4,X1),esk111_5(X2,X3,relation_composition(X2,X3),X4,X1))),X3)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_composition(X2,X3)))).
% 45.16/6.94 cnf(i_0_1821, plain, (unordered_pair(unordered_pair(esk301_4(X1,X2,X3,X4),esk301_4(X1,X2,X3,X4)),unordered_pair(esk301_4(X1,X2,X3,X4),esk302_4(X1,X2,X3,X4)))=X4|esk292_2(X1,X2)=esk293_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1789, plain, (unordered_pair(unordered_pair(esk301_4(X1,X2,X3,X4),esk301_4(X1,X2,X3,X4)),unordered_pair(esk301_4(X1,X2,X3,X4),esk302_4(X1,X2,X3,X4)))=X4|esk292_2(X1,X2)=esk294_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2316, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk402_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1918, plain, (unordered_pair(unordered_pair(esk319_4(X1,X2,X3,X4),esk319_4(X1,X2,X3,X4)),unordered_pair(esk319_4(X1,X2,X3,X4),esk320_4(X1,X2,X3,X4)))=X4|esk310_2(X1,X2)=esk311_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1886, plain, (unordered_pair(unordered_pair(esk319_4(X1,X2,X3,X4),esk319_4(X1,X2,X3,X4)),unordered_pair(esk319_4(X1,X2,X3,X4),esk320_4(X1,X2,X3,X4)))=X4|esk310_2(X1,X2)=esk312_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1559, plain, (unordered_pair(unordered_pair(esk248_1(X1),esk248_1(X1)),unordered_pair(esk248_1(X1),esk249_1(X1)))=esk246_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk252_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_1902, plain, (unordered_pair(unordered_pair(esk319_4(X1,X2,X3,X4),esk319_4(X1,X2,X3,X4)),unordered_pair(esk319_4(X1,X2,X3,X4),esk320_4(X1,X2,X3,X4)))=X4|in(esk313_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1870, plain, (unordered_pair(unordered_pair(esk319_4(X1,X2,X3,X4),esk319_4(X1,X2,X3,X4)),unordered_pair(esk319_4(X1,X2,X3,X4),esk320_4(X1,X2,X3,X4)))=X4|in(esk315_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1535, plain, (unordered_pair(unordered_pair(esk250_1(X1),esk250_1(X1)),unordered_pair(esk250_1(X1),esk251_1(X1)))=esk247_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk252_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_1915, plain, (esk310_2(X1,X2)=esk311_2(X1,X2)|element(esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_1953, plain, (unordered_pair(unordered_pair(esk331_4(X1,X2,X3,X4),esk331_4(X1,X2,X3,X4)),unordered_pair(esk331_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)))=X4|esk322_3(X1,X2,X3)=esk323_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1938, plain, (unordered_pair(unordered_pair(esk331_4(X1,X2,X3,X4),esk331_4(X1,X2,X3,X4)),unordered_pair(esk331_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)))=X4|esk322_3(X1,X2,X3)=esk324_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1459, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk237_4(X1,X2,X3,X4),X5),unordered_pair(esk237_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4))),X2)|in(esk229_2(X1,X2),esk230_2(X1,X2))|~relation(X2)|~in(X5,esk238_4(X1,X2,X3,X4))|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1405, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk237_4(X1,X2,X3,X4),X5),unordered_pair(esk237_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4))),X2)|in(esk232_2(X1,X2),esk233_2(X1,X2))|~relation(X2)|~in(X5,esk238_4(X1,X2,X3,X4))|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1289, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk205_2(X1,X2)|element(esk208_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk207_2(X1,X2))|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1883, plain, (esk310_2(X1,X2)=esk312_2(X1,X2)|element(esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_1275, lemma, (subset_complement(the_carrier(X1),esk204_2(X1,X2))=esk206_2(X1,X2)|element(esk208_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk207_2(X1,X2))|~one_sorted_str(X1)|~element(esk204_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 45.16/6.94 cnf(i_0_1177, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk188_2(X1,X2),X3),unordered_pair(esk188_2(X1,X2),esk188_2(X1,X2))),X2)|in(X4,esk193_4(X1,X2,X5,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),esk192_2(X1,X2))|~in(X3,esk190_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1145, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk189_2(X1,X2),X3),unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2))),X2)|in(X4,esk193_4(X1,X2,X5,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),esk192_2(X1,X2))|~in(X3,esk191_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1451, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk229_2(X1,X2),X3),unordered_pair(esk229_2(X1,X2),esk229_2(X1,X2))),X2)|in(esk237_4(X1,X2,X4,X5),esk238_4(X1,X2,X4,X5))|~relation(X2)|~in(X5,esk234_3(X1,X2,X4))|~in(X3,esk230_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2128, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk389_2(X1,X2),X1)|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1817, plain, (esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk292_2(X1,X2)=esk293_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1397, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk232_2(X1,X2),X3),unordered_pair(esk232_2(X1,X2),esk232_2(X1,X2))),X2)|in(esk237_4(X1,X2,X4,X5),esk238_4(X1,X2,X4,X5))|~relation(X2)|~in(X5,esk234_3(X1,X2,X4))|~in(X3,esk233_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1361, plain, (in(unordered_pair(unordered_pair(esk217_2(X1,X2),X3),unordered_pair(esk217_2(X1,X2),esk217_2(X1,X2))),X2)|in(X4,esk221_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk224_5(X1,X2,X4,X5,X5))),X2)|~in(X3,esk219_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 45.16/6.94 cnf(i_0_2236, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2328, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk402_3(X1,X2,X4)=esk401_2(X1,X2)|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_2312, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk402_3(X1,X2,X4)=esk401_2(X1,X2)|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1785, plain, (esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk292_2(X1,X2)=esk294_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_2336, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk399_2(X1,X2)|apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1337, plain, (in(unordered_pair(unordered_pair(esk218_2(X1,X2),X3),unordered_pair(esk218_2(X1,X2),esk218_2(X1,X2))),X2)|in(X4,esk221_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk224_5(X1,X2,X4,X5,X5))),X2)|~in(X3,esk220_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 45.16/6.94 cnf(i_0_2182, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2320, lemma, (subset_complement(the_carrier(X1),esk398_2(X1,X2))=esk400_2(X1,X2)|apply(esk403_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk401_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk398_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1254, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk200_2(X1,X2)|element(esk203_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk202_2(X1,X2))|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1754, plain, (element(esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|esk294_2(X1,X2)!=esk293_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_2254, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk389_2(X1,X2),X1)|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1457, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk234_3(X3,X4,X5))|in(esk229_2(X3,X4),esk230_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk239_7(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2,X1))),X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X5))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_1403, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk234_3(X3,X4,X5))|in(esk232_2(X3,X4),esk233_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk239_7(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2,X1))),X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X5))|~in(X2,X1))).
% 45.16/6.94 cnf(i_0_1362, plain, (in(unordered_pair(unordered_pair(esk217_2(X1,X2),X3),unordered_pair(esk217_2(X1,X2),esk217_2(X1,X2))),X2)|in(esk224_5(X1,X2,X4,X5,X5),X5)|in(X4,esk221_2(X1,X2))|~relation(X2)|~in(X3,esk219_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 45.16/6.94 cnf(i_0_2201, lemma, (in(unordered_pair(unordered_pair(esk385_2(X1,X2),X3),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|in(apply(esk391_2(X1,X2),X4),esk392_3(X1,X2,X4))|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,esk387_2(X1,X2))|~in(X4,X1))).
% 45.16/6.94 cnf(i_0_1240, lemma, (subset_complement(the_carrier(X1),esk199_2(X1,X2))=esk201_2(X1,X2)|element(esk203_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk202_2(X1,X2))|~one_sorted_str(X1)|~element(esk199_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 45.16/6.94 cnf(i_0_1815, plain, (unordered_pair(unordered_pair(esk295_2(X1,X2),esk295_2(X1,X2)),unordered_pair(esk295_2(X1,X2),esk296_2(X1,X2)))=esk293_2(X1,X2)|in(esk300_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1783, plain, (unordered_pair(unordered_pair(esk297_2(X1,X2),esk297_2(X1,X2)),unordered_pair(esk297_2(X1,X2),esk298_2(X1,X2)))=esk294_2(X1,X2)|in(esk300_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1494, plain, (esk225_2(X1,X2)=esk226_2(X1,X2)|in(esk239_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4),X4)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk234_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_2147, lemma, (in(unordered_pair(unordered_pair(esk386_2(X1,X2),X3),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|in(apply(esk391_2(X1,X2),X4),esk392_3(X1,X2,X4))|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X3,esk388_2(X1,X2))|~in(X4,X1))).
% 45.16/6.94 cnf(i_0_1338, plain, (in(unordered_pair(unordered_pair(esk218_2(X1,X2),X3),unordered_pair(esk218_2(X1,X2),esk218_2(X1,X2))),X2)|in(esk224_5(X1,X2,X4,X5,X5),X5)|in(X4,esk221_2(X1,X2))|~relation(X2)|~in(X3,esk220_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 45.16/6.94 cnf(i_0_1889, plain, (subset_complement(the_carrier(X1),esk313_2(X1,X2))=esk314_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk317_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk321_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk313_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 45.16/6.94 cnf(i_0_1805, plain, (unordered_pair(unordered_pair(esk301_4(X1,X2,X3,X4),esk301_4(X1,X2,X3,X4)),unordered_pair(esk301_4(X1,X2,X3,X4),esk302_4(X1,X2,X3,X4)))=X4|in(esk295_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1773, plain, (unordered_pair(unordered_pair(esk301_4(X1,X2,X3,X4),esk301_4(X1,X2,X3,X4)),unordered_pair(esk301_4(X1,X2,X3,X4),esk302_4(X1,X2,X3,X4)))=X4|in(esk297_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2192, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X3),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X3,esk387_2(X1,X2))|~in(X4,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2138, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X3),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X3,esk388_2(X1,X2))|~in(X4,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2193, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X3),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X3,esk387_2(X1,X2))|~in(X4,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1440, plain, (esk225_2(X1,X2)=esk227_2(X1,X2)|in(esk239_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4),X4)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk234_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_321, plain, (X1=X2|in(unordered_pair(unordered_pair(esk57_2(X1,X2),esk57_2(X1,X2)),unordered_pair(esk57_2(X1,X2),esk58_2(X1,X2))),X1)|in(unordered_pair(unordered_pair(esk57_2(X1,X2),esk57_2(X1,X2)),unordered_pair(esk57_2(X1,X2),esk58_2(X1,X2))),X2)|~relation(X2)|~relation(X1))).
% 45.16/6.94 cnf(i_0_1857, plain, (subset_complement(the_carrier(X1),esk315_2(X1,X2))=esk316_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk317_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk321_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk315_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 45.16/6.94 cnf(i_0_1951, plain, (esk322_3(X1,X2,X3)=esk323_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk329_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,X4),apply(X3,X5)),unordered_pair(apply(X3,X4),apply(X3,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X1)))).
% 45.16/6.94 cnf(i_0_1936, plain, (esk322_3(X1,X2,X3)=esk324_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk329_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,X4),apply(X3,X5)),unordered_pair(apply(X3,X4),apply(X3,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X1)))).
% 45.16/6.94 cnf(i_0_2218, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk385_2(X1,X2),esk387_2(X1,X2))|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2139, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X3),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X3,esk388_2(X1,X2))|~in(X4,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1363, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk217_2(X1,X2),X3),unordered_pair(esk217_2(X1,X2),esk217_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(X5,esk223_3(X1,X2,X4))|~in(X3,esk219_2(X1,X2))|~in(X4,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1339, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk218_2(X1,X2),X3),unordered_pair(esk218_2(X1,X2),esk218_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(X5,esk223_3(X1,X2,X4))|~in(X3,esk220_2(X1,X2))|~in(X4,esk221_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2191, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X3),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X3,esk387_2(X1,X2))|~in(X4,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1476, plain, (in(esk239_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4),X4)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk234_3(X1,X2,X3))|in(esk228_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_2164, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk386_2(X1,X2),esk388_2(X1,X2))|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2190, lemma, (esk392_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X4),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk390_4(X1,X2,X5,esk389_2(X1,X2)))),X2)|~in(X4,esk387_2(X1,X2))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_482, plain, (X1=relation_inverse(X2)|in(unordered_pair(unordered_pair(esk98_2(X2,X1),esk99_2(X2,X1)),unordered_pair(esk99_2(X2,X1),esk99_2(X2,X1))),X2)|in(unordered_pair(unordered_pair(esk98_2(X2,X1),esk98_2(X2,X1)),unordered_pair(esk98_2(X2,X1),esk99_2(X2,X1))),X1)|~relation(X1)|~relation(X2))).
% 45.16/6.94 cnf(i_0_2137, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X3),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk390_4(X1,X2,X4,esk389_2(X1,X2)))),X2)|~in(X3,esk388_2(X1,X2))|~in(X4,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2198, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X3),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X3,esk387_2(X1,X2))|~in(X4,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1422, plain, (in(esk239_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4),X4)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk234_3(X1,X2,X3))|in(esk231_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_2144, lemma, (function(esk391_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X3),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X3,esk388_2(X1,X2))|~in(X4,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2136, lemma, (esk392_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X4),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk390_4(X1,X2,X5,esk389_2(X1,X2)))),X2)|~in(X4,esk388_2(X1,X2))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2199, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X3),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X3,esk387_2(X1,X2))|~in(X4,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2145, lemma, (relation(esk391_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X3),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X3,esk388_2(X1,X2))|~in(X4,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2197, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X3),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X3,esk387_2(X1,X2))|~in(X4,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2143, lemma, (relation_dom(esk391_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X3),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X3,esk388_2(X1,X2))|~in(X4,esk389_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1899, plain, (element(esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|in(esk313_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_1950, plain, (unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)))=esk323_3(X1,X2,X3)|in(esk330_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1935, plain, (unordered_pair(unordered_pair(esk327_3(X1,X2,X3),esk327_3(X1,X2,X3)),unordered_pair(esk327_3(X1,X2,X3),esk328_3(X1,X2,X3)))=esk324_3(X1,X2,X3)|in(esk330_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1800, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk299_3(X3,X4,X5))|in(esk295_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk303_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5)))).
% 45.16/6.94 cnf(i_0_488, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk100_3(X1,X2,X3),esk100_3(X1,X2,X3)),unordered_pair(esk100_3(X1,X2,X3),esk101_3(X1,X2,X3))),X1)|in(esk100_3(X1,X2,X3),relation_field(X1))|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X3))).
% 45.16/6.94 cnf(i_0_1811, plain, (unordered_pair(unordered_pair(esk295_2(X1,X2),esk295_2(X1,X2)),unordered_pair(esk295_2(X1,X2),esk296_2(X1,X2)))=esk293_2(X1,X2)|subset_complement(the_carrier(X1),esk301_4(X1,X2,X3,X4))=esk302_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk301_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1867, plain, (element(esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|in(esk315_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_487, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk100_3(X1,X2,X3),esk100_3(X1,X2,X3)),unordered_pair(esk100_3(X1,X2,X3),esk101_3(X1,X2,X3))),X1)|in(esk101_3(X1,X2,X3),relation_field(X1))|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X3))).
% 45.16/6.94 cnf(i_0_1768, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk299_3(X3,X4,X5))|in(esk297_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk303_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5)))).
% 45.16/6.94 cnf(i_0_1792, plain, (subset_complement(the_carrier(X1),esk295_2(X1,X2))=esk296_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk299_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk303_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk295_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 45.16/6.94 cnf(i_0_2102, lemma, (in(unordered_pair(unordered_pair(apply(X1,esk378_4(X2,X3,X1,X4)),apply(X1,esk378_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk378_4(X2,X3,X1,X4)),apply(X1,esk379_4(X2,X3,X1,X4)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk377_3(X2,X3,X1)))).
% 45.16/6.94 cnf(i_0_1779, plain, (unordered_pair(unordered_pair(esk297_2(X1,X2),esk297_2(X1,X2)),unordered_pair(esk297_2(X1,X2),esk298_2(X1,X2)))=esk294_2(X1,X2)|subset_complement(the_carrier(X1),esk301_4(X1,X2,X3,X4))=esk302_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk301_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1908, plain, (unordered_pair(unordered_pair(esk313_2(X1,X2),esk313_2(X1,X2)),unordered_pair(esk313_2(X1,X2),esk314_2(X1,X2)))=esk311_2(X1,X2)|subset_complement(the_carrier(X1),esk319_4(X1,X2,X3,X4))=esk320_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk319_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1876, plain, (unordered_pair(unordered_pair(esk315_2(X1,X2),esk315_2(X1,X2)),unordered_pair(esk315_2(X1,X2),esk316_2(X1,X2)))=esk312_2(X1,X2)|subset_complement(the_carrier(X1),esk319_4(X1,X2,X3,X4))=esk320_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk319_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1760, plain, (subset_complement(the_carrier(X1),esk297_2(X1,X2))=esk298_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk299_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk303_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk297_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 45.16/6.94 cnf(i_0_1818, plain, (esk292_2(X1,X2)=esk293_2(X1,X2)|element(esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_2196, lemma, (esk392_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X4),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|in(esk390_4(X1,X2,X5,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X4,esk387_2(X1,X2))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2142, lemma, (esk392_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X4),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|in(esk390_4(X1,X2,X5,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X4,esk388_2(X1,X2))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1458, plain, (in(esk239_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4),X4)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk234_3(X1,X2,X3))|in(esk229_2(X1,X2),esk230_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_1404, plain, (in(esk239_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4),X4)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk234_3(X1,X2,X3))|in(esk232_2(X1,X2),esk233_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_1944, plain, (esk330_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk325_3(X1,X2,X3)),apply(X3,esk325_3(X1,X2,X3))),unordered_pair(apply(X3,esk325_3(X1,X2,X3)),apply(X3,esk326_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1786, plain, (esk292_2(X1,X2)=esk294_2(X1,X2)|element(esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1801, plain, (esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|in(esk295_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1929, plain, (esk330_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk327_3(X1,X2,X3)),apply(X3,esk327_3(X1,X2,X3))),unordered_pair(apply(X3,esk327_3(X1,X2,X3)),apply(X3,esk328_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2116, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk390_4(X1,X2,X5,esk389_2(X1,X2)))),X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1176, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk188_2(X1,X2),X3),unordered_pair(esk188_2(X1,X2),esk188_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X4),unordered_pair(X6,X6)),esk192_2(X1,X2))|~in(X5,esk193_4(X1,X2,X6,X4))|~in(X3,esk190_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1144, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk189_2(X1,X2),X3),unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X4),unordered_pair(X6,X6)),esk192_2(X1,X2))|~in(X5,esk193_4(X1,X2,X6,X4))|~in(X3,esk191_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1797, plain, (unordered_pair(unordered_pair(esk301_4(X1,X2,X3,X4),esk301_4(X1,X2,X3,X4)),unordered_pair(esk301_4(X1,X2,X3,X4),esk302_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk295_2(X1,X2))=esk296_2(X1,X2)|~one_sorted_str(X1)|~element(esk295_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1769, plain, (esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|in(esk297_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1922, plain, (in(unordered_pair(unordered_pair(apply(X1,esk331_4(X2,X3,X1,X4)),apply(X1,esk331_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk331_4(X2,X3,X1,X4)),apply(X1,esk332_4(X2,X3,X1,X4)))),X3)|esk324_3(X2,X3,X1)!=esk323_3(X2,X3,X1)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk329_3(X2,X3,X1)))).
% 45.16/6.94 cnf(i_0_1765, plain, (unordered_pair(unordered_pair(esk301_4(X1,X2,X3,X4),esk301_4(X1,X2,X3,X4)),unordered_pair(esk301_4(X1,X2,X3,X4),esk302_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk297_2(X1,X2))=esk298_2(X1,X2)|~one_sorted_str(X1)|~element(esk297_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1894, plain, (unordered_pair(unordered_pair(esk319_4(X1,X2,X3,X4),esk319_4(X1,X2,X3,X4)),unordered_pair(esk319_4(X1,X2,X3,X4),esk320_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk313_2(X1,X2))=esk314_2(X1,X2)|~one_sorted_str(X1)|~element(esk313_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1862, plain, (unordered_pair(unordered_pair(esk319_4(X1,X2,X3,X4),esk319_4(X1,X2,X3,X4)),unordered_pair(esk319_4(X1,X2,X3,X4),esk320_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk315_2(X1,X2))=esk316_2(X1,X2)|~one_sorted_str(X1)|~element(esk315_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1890, plain, (esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk313_2(X1,X2))=esk314_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk313_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_2224, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk390_4(X1,X2,X5,esk389_2(X1,X2)))),X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2170, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk390_4(X1,X2,X5,esk389_2(X1,X2)))),X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1891, plain, (subset_complement(the_carrier(X1),esk313_2(X1,X2))=esk314_2(X1,X2)|element(esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk313_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_1859, plain, (subset_complement(the_carrier(X1),esk315_2(X1,X2))=esk316_2(X1,X2)|element(esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk315_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_1858, plain, (esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk315_2(X1,X2))=esk316_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk315_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_2242, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk390_4(X1,X2,X5,esk389_2(X1,X2)))),X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_489, plain, (relation_isomorphism(X1,X2,X3)|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,esk100_3(X1,X2,X3)),apply(X3,esk100_3(X1,X2,X3))),unordered_pair(apply(X3,esk100_3(X1,X2,X3)),apply(X3,esk101_3(X1,X2,X3)))),X2)|~in(unordered_pair(unordered_pair(esk100_3(X1,X2,X3),esk100_3(X1,X2,X3)),unordered_pair(esk100_3(X1,X2,X3),esk101_3(X1,X2,X3))),X1)|~in(esk100_3(X1,X2,X3),relation_field(X1))|~in(esk101_3(X1,X2,X3),relation_field(X1)))).
% 45.16/6.94 cnf(i_0_2189, lemma, (in(unordered_pair(unordered_pair(esk385_2(X1,X2),X3),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|in(apply(esk391_2(X1,X2),X4),esk392_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk390_4(X1,X2,X5,esk389_2(X1,X2)))),X2)|~in(X3,esk387_2(X1,X2))|~in(X5,esk389_2(X1,X2))|~in(X4,X1))).
% 45.16/6.94 cnf(i_0_1952, plain, (esk322_3(X1,X2,X3)=esk323_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk331_4(X1,X2,X3,X4)),apply(X3,esk331_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk331_4(X1,X2,X3,X4)),apply(X3,esk332_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1794, plain, (subset_complement(the_carrier(X1),esk295_2(X1,X2))=esk296_2(X1,X2)|element(esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk295_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1762, plain, (subset_complement(the_carrier(X1),esk297_2(X1,X2))=esk298_2(X1,X2)|element(esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk297_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1802, plain, (element(esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|in(esk295_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1937, plain, (esk322_3(X1,X2,X3)=esk324_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk331_4(X1,X2,X3,X4)),apply(X3,esk331_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk331_4(X1,X2,X3,X4)),apply(X3,esk332_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2135, lemma, (in(unordered_pair(unordered_pair(esk386_2(X1,X2),X3),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|in(apply(esk391_2(X1,X2),X4),esk392_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk390_4(X1,X2,X5,esk389_2(X1,X2)))),X2)|~in(X3,esk388_2(X1,X2))|~in(X5,esk389_2(X1,X2))|~in(X4,X1))).
% 45.16/6.94 cnf(i_0_2122, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk390_4(X1,X2,X5,esk389_2(X1,X2)),esk389_2(X1,X2))|esk386_2(X1,X2)!=esk385_2(X1,X2)|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1175, lemma, (in(unordered_pair(unordered_pair(esk188_2(X1,X2),X3),unordered_pair(esk188_2(X1,X2),esk188_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk192_2(X1,X2))|in(esk194_5(X1,X2,X4,X5,X4),X4)|~relation(X2)|~in(X3,esk190_2(X1,X2))|~in(X5,X4)|~in(X4,X1))).
% 45.16/6.94 cnf(i_0_1174, lemma, (in(unordered_pair(unordered_pair(esk188_2(X1,X2),X3),unordered_pair(esk188_2(X1,X2),esk188_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk192_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk194_5(X1,X2,X4,X5,X4))),X2)|~in(X3,esk190_2(X1,X2))|~in(X4,X1)|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_1770, plain, (element(esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|in(esk297_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1793, plain, (esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk295_2(X1,X2))=esk296_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk295_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1761, plain, (esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk297_2(X1,X2))=esk298_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk297_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1143, lemma, (in(unordered_pair(unordered_pair(esk189_2(X1,X2),X3),unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk192_2(X1,X2))|in(esk194_5(X1,X2,X4,X5,X4),X4)|~relation(X2)|~in(X3,esk191_2(X1,X2))|~in(X5,X4)|~in(X4,X1))).
% 45.16/6.94 cnf(i_0_1142, lemma, (in(unordered_pair(unordered_pair(esk189_2(X1,X2),X3),unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk192_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk194_5(X1,X2,X4,X5,X4))),X2)|~in(X3,esk191_2(X1,X2))|~in(X4,X1)|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_1945, plain, (in(unordered_pair(unordered_pair(apply(X1,esk325_3(X2,X3,X1)),apply(X1,esk325_3(X2,X3,X1))),unordered_pair(apply(X1,esk325_3(X2,X3,X1)),apply(X1,esk326_3(X2,X3,X1)))),X3)|in(esk330_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~relation(X1)|~relation(X3)|~function(X1)|~in(X4,esk329_3(X2,X3,X1)))).
% 45.16/6.94 cnf(i_0_2230, lemma, (esk384_2(X1,X2)=esk387_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk390_4(X1,X2,X5,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2176, lemma, (esk388_2(X1,X2)=esk384_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk390_4(X1,X2,X5,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1905, plain, (unordered_pair(unordered_pair(esk313_2(X1,X2),esk313_2(X1,X2)),unordered_pair(esk313_2(X1,X2),esk314_2(X1,X2)))=esk311_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk317_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk321_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 45.16/6.94 cnf(i_0_1930, plain, (in(unordered_pair(unordered_pair(apply(X1,esk327_3(X2,X3,X1)),apply(X1,esk327_3(X2,X3,X1))),unordered_pair(apply(X1,esk327_3(X2,X3,X1)),apply(X1,esk328_3(X2,X3,X1)))),X3)|in(esk330_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~relation(X1)|~relation(X3)|~function(X1)|~in(X4,esk329_3(X2,X3,X1)))).
% 45.16/6.94 cnf(i_0_2206, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk385_2(X1,X2),esk387_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk390_4(X1,X2,X5,esk389_2(X1,X2)))),X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2152, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk386_2(X1,X2),esk388_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk390_4(X1,X2,X5,esk389_2(X1,X2)))),X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2248, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk390_4(X1,X2,X5,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk384_2(X1,X2),X1)|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2195, lemma, (in(unordered_pair(unordered_pair(esk385_2(X1,X2),X3),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|in(apply(esk391_2(X1,X2),X5),esk392_3(X1,X2,X5))|~relation(X2)|~in(X3,esk387_2(X1,X2))|~in(X4,esk389_2(X1,X2))|~in(X5,X1))).
% 45.16/6.94 cnf(i_0_2141, lemma, (in(unordered_pair(unordered_pair(esk386_2(X1,X2),X3),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|in(esk390_4(X1,X2,X4,esk389_2(X1,X2)),esk389_2(X1,X2))|in(apply(esk391_2(X1,X2),X5),esk392_3(X1,X2,X5))|~relation(X2)|~in(X3,esk388_2(X1,X2))|~in(X4,esk389_2(X1,X2))|~in(X5,X1))).
% 45.16/6.94 cnf(i_0_2212, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk390_4(X1,X2,X5,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk385_2(X1,X2),esk387_2(X1,X2))|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1873, plain, (unordered_pair(unordered_pair(esk315_2(X1,X2),esk315_2(X1,X2)),unordered_pair(esk315_2(X1,X2),esk316_2(X1,X2)))=esk312_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk317_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk321_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 45.16/6.94 cnf(i_0_1490, plain, (unordered_pair(unordered_pair(esk236_4(X1,X2,X3,X4),esk236_4(X1,X2,X3,X4)),unordered_pair(esk236_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk228_2(X1,X2),esk228_2(X1,X2)),unordered_pair(esk228_2(X1,X2),esk229_2(X1,X2)))=esk226_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1436, plain, (unordered_pair(unordered_pair(esk236_4(X1,X2,X3,X4),esk236_4(X1,X2,X3,X4)),unordered_pair(esk236_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk231_2(X1,X2),esk231_2(X1,X2)),unordered_pair(esk231_2(X1,X2),esk232_2(X1,X2)))=esk227_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2158, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(esk390_4(X1,X2,X5,esk389_2(X1,X2)),esk389_2(X1,X2))|in(esk386_2(X1,X2),esk388_2(X1,X2))|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1906, plain, (unordered_pair(unordered_pair(esk313_2(X1,X2),esk313_2(X1,X2)),unordered_pair(esk313_2(X1,X2),esk314_2(X1,X2)))=esk311_2(X1,X2)|esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_127, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk4_3(X2,X3,X1),esk4_3(X2,X3,X1)),unordered_pair(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk4_3(X2,X3,X1),esk4_3(X2,X3,X1)),unordered_pair(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X2))).
% 45.16/6.94 cnf(i_0_1448, plain, (in(unordered_pair(unordered_pair(esk229_2(X1,X2),X3),unordered_pair(esk229_2(X1,X2),esk229_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk234_3(X1,X2,X6))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk239_7(X1,X2,X6,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X6))|~in(X3,esk230_2(X1,X2))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_1394, plain, (in(unordered_pair(unordered_pair(esk232_2(X1,X2),X3),unordered_pair(esk232_2(X1,X2),esk232_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk234_3(X1,X2,X6))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk239_7(X1,X2,X6,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X6))|~in(X3,esk233_2(X1,X2))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_141, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk10_3(X2,X3,X1),esk9_3(X2,X3,X1)),unordered_pair(esk9_3(X2,X3,X1),esk9_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk10_3(X2,X3,X1),esk9_3(X2,X3,X1)),unordered_pair(esk9_3(X2,X3,X1),esk9_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3))).
% 45.16/6.94 cnf(i_0_1454, plain, (unordered_pair(unordered_pair(esk236_4(X1,X2,X3,X4),esk236_4(X1,X2,X3,X4)),unordered_pair(esk236_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk229_2(X1,X2),X5),unordered_pair(esk229_2(X1,X2),esk229_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3))|~in(X5,esk230_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1400, plain, (unordered_pair(unordered_pair(esk236_4(X1,X2,X3,X4),esk236_4(X1,X2,X3,X4)),unordered_pair(esk236_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk232_2(X1,X2),X5),unordered_pair(esk232_2(X1,X2),esk232_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk234_3(X1,X2,X3))|~in(X5,esk233_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1813, plain, (unordered_pair(unordered_pair(esk301_4(X1,X2,X3,X4),esk301_4(X1,X2,X3,X4)),unordered_pair(esk301_4(X1,X2,X3,X4),esk302_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk295_2(X1,X2),esk295_2(X1,X2)),unordered_pair(esk295_2(X1,X2),esk296_2(X1,X2)))=esk293_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1874, plain, (unordered_pair(unordered_pair(esk315_2(X1,X2),esk315_2(X1,X2)),unordered_pair(esk315_2(X1,X2),esk316_2(X1,X2)))=esk312_2(X1,X2)|esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_534, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk112_3(X2,X3,X1),esk112_3(X2,X3,X1)),unordered_pair(esk112_3(X2,X3,X1),esk114_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk112_3(X2,X3,X1),esk112_3(X2,X3,X1)),unordered_pair(esk112_3(X2,X3,X1),esk113_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 45.16/6.94 cnf(i_0_1484, plain, (unordered_pair(unordered_pair(esk228_2(X1,X2),esk228_2(X1,X2)),unordered_pair(esk228_2(X1,X2),esk229_2(X1,X2)))=esk226_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk234_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk239_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4,X3))),X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X1,X5))|~in(X4,X3))).
% 45.16/6.94 cnf(i_0_1430, plain, (unordered_pair(unordered_pair(esk231_2(X1,X2),esk231_2(X1,X2)),unordered_pair(esk231_2(X1,X2),esk232_2(X1,X2)))=esk227_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk234_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk239_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4,X3))),X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X1,X5))|~in(X4,X3))).
% 45.16/6.94 cnf(i_0_533, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk113_3(X2,X3,X1),esk114_3(X2,X3,X1)),unordered_pair(esk114_3(X2,X3,X1),esk114_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk112_3(X2,X3,X1),esk112_3(X2,X3,X1)),unordered_pair(esk112_3(X2,X3,X1),esk113_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 45.16/6.94 cnf(i_0_1781, plain, (unordered_pair(unordered_pair(esk301_4(X1,X2,X3,X4),esk301_4(X1,X2,X3,X4)),unordered_pair(esk301_4(X1,X2,X3,X4),esk302_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk297_2(X1,X2),esk297_2(X1,X2)),unordered_pair(esk297_2(X1,X2),esk298_2(X1,X2)))=esk294_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk299_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1910, plain, (unordered_pair(unordered_pair(esk319_4(X1,X2,X3,X4),esk319_4(X1,X2,X3,X4)),unordered_pair(esk319_4(X1,X2,X3,X4),esk320_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk313_2(X1,X2),esk313_2(X1,X2)),unordered_pair(esk313_2(X1,X2),esk314_2(X1,X2)))=esk311_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1878, plain, (unordered_pair(unordered_pair(esk319_4(X1,X2,X3,X4),esk319_4(X1,X2,X3,X4)),unordered_pair(esk319_4(X1,X2,X3,X4),esk320_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk315_2(X1,X2),esk315_2(X1,X2)),unordered_pair(esk315_2(X1,X2),esk316_2(X1,X2)))=esk312_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk317_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1486, plain, (unordered_pair(unordered_pair(esk228_2(X1,X2),esk228_2(X1,X2)),unordered_pair(esk228_2(X1,X2),esk229_2(X1,X2)))=esk226_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk237_4(X1,X2,X3,X4),X5),unordered_pair(esk237_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk238_4(X1,X2,X3,X4))|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1808, plain, (unordered_pair(unordered_pair(esk295_2(X1,X2),esk295_2(X1,X2)),unordered_pair(esk295_2(X1,X2),esk296_2(X1,X2)))=esk293_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk299_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk303_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 45.16/6.94 cnf(i_0_1432, plain, (unordered_pair(unordered_pair(esk231_2(X1,X2),esk231_2(X1,X2)),unordered_pair(esk231_2(X1,X2),esk232_2(X1,X2)))=esk227_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk237_4(X1,X2,X3,X4),X5),unordered_pair(esk237_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk238_4(X1,X2,X3,X4))|~in(X4,esk234_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1450, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk237_4(X1,X2,X3,X4),X5),unordered_pair(esk237_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4))),X2)|in(unordered_pair(unordered_pair(esk229_2(X1,X2),X6),unordered_pair(esk229_2(X1,X2),esk229_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk238_4(X1,X2,X3,X4))|~in(X4,esk234_3(X1,X2,X3))|~in(X6,esk230_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_1396, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk237_4(X1,X2,X3,X4),X5),unordered_pair(esk237_4(X1,X2,X3,X4),esk237_4(X1,X2,X3,X4))),X2)|in(unordered_pair(unordered_pair(esk232_2(X1,X2),X6),unordered_pair(esk232_2(X1,X2),esk232_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk238_4(X1,X2,X3,X4))|~in(X4,esk234_3(X1,X2,X3))|~in(X6,esk233_2(X1,X2)))).
% 45.16/6.94 cnf(i_0_2200, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X5),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk387_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1776, plain, (unordered_pair(unordered_pair(esk297_2(X1,X2),esk297_2(X1,X2)),unordered_pair(esk297_2(X1,X2),esk298_2(X1,X2)))=esk294_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk299_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk303_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 45.16/6.94 cnf(i_0_2146, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X5),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|in(esk389_2(X1,X2),X1)|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk388_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1907, plain, (unordered_pair(unordered_pair(esk313_2(X1,X2),esk313_2(X1,X2)),unordered_pair(esk313_2(X1,X2),esk314_2(X1,X2)))=esk311_2(X1,X2)|element(esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_1948, plain, (unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)))=esk323_3(X1,X2,X3)|unordered_pair(unordered_pair(esk331_4(X1,X2,X3,X4),esk331_4(X1,X2,X3,X4)),unordered_pair(esk331_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1449, plain, (in(unordered_pair(unordered_pair(esk229_2(X1,X2),X3),unordered_pair(esk229_2(X1,X2),esk229_2(X1,X2))),X2)|in(esk239_7(X1,X2,X4,unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),X5,X6,X5),X5)|in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),esk234_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),cartesian_product2(X1,X4))|~in(X3,esk230_2(X1,X2))|~in(X6,X5))).
% 45.16/6.94 cnf(i_0_1395, plain, (in(unordered_pair(unordered_pair(esk232_2(X1,X2),X3),unordered_pair(esk232_2(X1,X2),esk232_2(X1,X2))),X2)|in(esk239_7(X1,X2,X4,unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),X5,X6,X5),X5)|in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),esk234_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),cartesian_product2(X1,X4))|~in(X3,esk233_2(X1,X2))|~in(X6,X5))).
% 45.16/6.94 cnf(i_0_1933, plain, (unordered_pair(unordered_pair(esk327_3(X1,X2,X3),esk327_3(X1,X2,X3)),unordered_pair(esk327_3(X1,X2,X3),esk328_3(X1,X2,X3)))=esk324_3(X1,X2,X3)|unordered_pair(unordered_pair(esk331_4(X1,X2,X3,X4),esk331_4(X1,X2,X3,X4)),unordered_pair(esk331_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1875, plain, (unordered_pair(unordered_pair(esk315_2(X1,X2),esk315_2(X1,X2)),unordered_pair(esk315_2(X1,X2),esk316_2(X1,X2)))=esk312_2(X1,X2)|element(esk321_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk317_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 45.16/6.94 cnf(i_0_1809, plain, (unordered_pair(unordered_pair(esk295_2(X1,X2),esk295_2(X1,X2)),unordered_pair(esk295_2(X1,X2),esk296_2(X1,X2)))=esk293_2(X1,X2)|esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1777, plain, (unordered_pair(unordered_pair(esk297_2(X1,X2),esk297_2(X1,X2)),unordered_pair(esk297_2(X1,X2),esk298_2(X1,X2)))=esk294_2(X1,X2)|esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1485, plain, (unordered_pair(unordered_pair(esk228_2(X1,X2),esk228_2(X1,X2)),unordered_pair(esk228_2(X1,X2),esk229_2(X1,X2)))=esk226_2(X1,X2)|in(esk239_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4),X4)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk234_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_1431, plain, (unordered_pair(unordered_pair(esk231_2(X1,X2),esk231_2(X1,X2)),unordered_pair(esk231_2(X1,X2),esk232_2(X1,X2)))=esk227_2(X1,X2)|in(esk239_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5,X4),X4)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk234_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 45.16/6.94 cnf(i_0_1947, plain, (unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)))=esk323_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk331_4(X1,X2,X3,X4)),apply(X3,esk331_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk331_4(X1,X2,X3,X4)),apply(X3,esk332_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1932, plain, (unordered_pair(unordered_pair(esk327_3(X1,X2,X3),esk327_3(X1,X2,X3)),unordered_pair(esk327_3(X1,X2,X3),esk328_3(X1,X2,X3)))=esk324_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk331_4(X1,X2,X3,X4)),apply(X3,esk331_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk331_4(X1,X2,X3,X4)),apply(X3,esk332_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2188, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X5),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,esk390_4(X1,X2,X6,esk389_2(X1,X2)))),X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk387_2(X1,X2))|~in(X6,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1943, plain, (unordered_pair(unordered_pair(esk331_4(X1,X2,X3,X4),esk331_4(X1,X2,X3,X4)),unordered_pair(esk331_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)))=X4|in(unordered_pair(unordered_pair(apply(X3,esk325_3(X1,X2,X3)),apply(X3,esk325_3(X1,X2,X3))),unordered_pair(apply(X3,esk325_3(X1,X2,X3)),apply(X3,esk326_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_1810, plain, (unordered_pair(unordered_pair(esk295_2(X1,X2),esk295_2(X1,X2)),unordered_pair(esk295_2(X1,X2),esk296_2(X1,X2)))=esk293_2(X1,X2)|element(esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1778, plain, (unordered_pair(unordered_pair(esk297_2(X1,X2),esk297_2(X1,X2)),unordered_pair(esk297_2(X1,X2),esk298_2(X1,X2)))=esk294_2(X1,X2)|element(esk303_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk299_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 45.16/6.94 cnf(i_0_1946, plain, (unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)))=esk323_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk329_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,X4),apply(X3,X5)),unordered_pair(apply(X3,X4),apply(X3,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X1)))).
% 45.16/6.94 cnf(i_0_1928, plain, (unordered_pair(unordered_pair(esk331_4(X1,X2,X3,X4),esk331_4(X1,X2,X3,X4)),unordered_pair(esk331_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)))=X4|in(unordered_pair(unordered_pair(apply(X3,esk327_3(X1,X2,X3)),apply(X3,esk327_3(X1,X2,X3))),unordered_pair(apply(X3,esk327_3(X1,X2,X3)),apply(X3,esk328_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk329_3(X1,X2,X3)))).
% 45.16/6.94 cnf(i_0_2134, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X5),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,esk390_4(X1,X2,X6,esk389_2(X1,X2)))),X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk388_2(X1,X2))|~in(X6,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2194, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk385_2(X1,X2),X5),unordered_pair(esk385_2(X1,X2),esk385_2(X1,X2))),X2)|in(esk390_4(X1,X2,X6,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk387_2(X1,X2))|~in(X6,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_2140, lemma, (in(unordered_pair(unordered_pair(apply(esk391_2(X1,X2),X3),X4),unordered_pair(apply(esk391_2(X1,X2),X3),apply(esk391_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk386_2(X1,X2),X5),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2))),X2)|in(esk390_4(X1,X2,X6,esk389_2(X1,X2)),esk389_2(X1,X2))|~relation(X2)|~in(X4,esk392_3(X1,X2,X3))|~in(X5,esk388_2(X1,X2))|~in(X6,esk389_2(X1,X2))|~in(X3,X1))).
% 45.16/6.94 cnf(i_0_1931, plain, (unordered_pair(unordered_pair(esk327_3(X1,X2,X3),esk327_3(X1,X2,X3)),unordered_pair(esk327_3(X1,X2,X3),esk328_3(X1,X2,X3)))=esk324_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk329_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,X4),apply(X3,X5)),unordered_pair(apply(X3,X4),apply(X3,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X1)))).
% 45.16/6.94 cnf(i_0_486, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk100_3(X1,X2,X3)),apply(X3,esk100_3(X1,X2,X3))),unordered_pair(apply(X3,esk100_3(X1,X2,X3)),apply(X3,esk101_3(X1,X2,X3)))),X2)|in(unordered_pair(unordered_pair(esk100_3(X1,X2,X3),esk100_3(X1,X2,X3)),unordered_pair(esk100_3(X1,X2,X3),esk101_3(X1,X2,X3))),X1)|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X2)|~relation(X1)|~relation(X3)|~function(X3))).
% 45.16/6.94 cnf(i_0_1941, plain, (in(unordered_pair(unordered_pair(apply(X1,esk325_3(X2,X3,X1)),apply(X1,esk325_3(X2,X3,X1))),unordered_pair(apply(X1,esk325_3(X2,X3,X1)),apply(X1,esk326_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk329_3(X2,X3,X1))|~relation(X3)|~relation(X1)|~function(X1)|~in(unordered_pair(unordered_pair(apply(X1,X4),apply(X1,X5)),unordered_pair(apply(X1,X4),apply(X1,X4))),X3)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X2)))).
% 45.16/6.94 cnf(i_0_1926, plain, (in(unordered_pair(unordered_pair(apply(X1,esk327_3(X2,X3,X1)),apply(X1,esk327_3(X2,X3,X1))),unordered_pair(apply(X1,esk327_3(X2,X3,X1)),apply(X1,esk328_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk329_3(X2,X3,X1))|~relation(X3)|~relation(X1)|~function(X1)|~in(unordered_pair(unordered_pair(apply(X1,X4),apply(X1,X5)),unordered_pair(apply(X1,X4),apply(X1,X4))),X3)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X2)))).
% 45.16/6.94 cnf(i_0_1942, plain, (in(unordered_pair(unordered_pair(apply(X1,esk331_4(X2,X3,X1,X4)),apply(X1,esk331_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk331_4(X2,X3,X1,X4)),apply(X1,esk332_4(X2,X3,X1,X4)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk325_3(X2,X3,X1)),apply(X1,esk325_3(X2,X3,X1))),unordered_pair(apply(X1,esk325_3(X2,X3,X1)),apply(X1,esk326_3(X2,X3,X1)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk329_3(X2,X3,X1)))).
% 45.16/6.94 cnf(i_0_1927, plain, (in(unordered_pair(unordered_pair(apply(X1,esk331_4(X2,X3,X1,X4)),apply(X1,esk331_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk331_4(X2,X3,X1,X4)),apply(X1,esk332_4(X2,X3,X1,X4)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk327_3(X2,X3,X1)),apply(X1,esk327_3(X2,X3,X1))),unordered_pair(apply(X1,esk327_3(X2,X3,X1)),apply(X1,esk328_3(X2,X3,X1)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk329_3(X2,X3,X1)))).
% 45.16/6.94 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 45.16/6.94 # Begin printing tableau
% 45.16/6.94 # Found 7 steps
% 45.16/6.94 cnf(i_0_2626, negated_conjecture, (relstr_set_smaller(esk436_0,esk438_0,esk437_0)|ex_sup_of_relstr_set(esk436_0,esk438_0)), inference(start_rule)).
% 45.16/6.94 cnf(i_0_3828, plain, (ex_sup_of_relstr_set(esk436_0,esk438_0)), inference(extension_rule, [i_0_516])).
% 45.16/6.94 cnf(i_0_64197, plain, (~rel_str(esk436_0)), inference(closure_rule, [i_0_2631])).
% 45.16/6.94 cnf(i_0_64195, plain, (element(esk102_2(esk436_0,esk438_0),the_carrier(esk436_0))), inference(extension_rule, [i_0_5])).
% 45.16/6.94 cnf(i_0_3827, plain, (relstr_set_smaller(esk436_0,esk438_0,esk437_0)), inference(etableau_closure_rule, [i_0_3827, ...])).
% 45.16/6.94 cnf(i_0_64538, plain, (v1_xcmplx_0(esk102_2(esk436_0,esk438_0))), inference(etableau_closure_rule, [i_0_64538, ...])).
% 45.16/6.94 cnf(i_0_64540, plain, (~v1_membered(the_carrier(esk436_0))), inference(etableau_closure_rule, [i_0_64540, ...])).
% 45.16/6.94 # End printing tableau
% 45.16/6.94 # SZS output end
% 45.16/6.94 # Branches closed with saturation will be marked with an "s"
% 45.16/6.96 # Child (23898) has found a proof.
% 45.16/6.96
% 45.16/6.96 # Proof search is over...
% 45.16/6.96 # Freeing feature tree
%------------------------------------------------------------------------------