0.04/0.08 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.08 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s 0.07/0.26 % Computer : n003.cluster.edu 0.07/0.26 % Model : x86_64 x86_64 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.07/0.26 % Memory : 8042.1875MB 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64 0.07/0.26 % CPULimit : 1200 0.07/0.26 % WCLimit : 120 0.07/0.26 % DateTime : Tue Jul 13 17:24:39 EDT 2021 0.10/0.26 % CPUTime : 2.32/2.59 # No SInE strategy applied 2.32/2.59 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S2g 2.32/2.59 # and selection function SelectCQArNpEqFirst. 2.32/2.59 # 2.32/2.59 # Presaturation interreduction done 2.32/2.59 # Number of axioms: 3918 Number of unprocessed: 3514 2.32/2.59 # Tableaux proof search. 2.32/2.59 # APR header successfully linked. 2.32/2.59 # Hello from C++ 2.42/2.63 # The folding up rule is enabled... 2.42/2.63 # Local unification is enabled... 2.42/2.63 # Any saturation attempts will use folding labels... 2.42/2.63 # 3514 beginning clauses after preprocessing and clausification 2.42/2.63 # Creating start rules for all 6 conjectures. 2.42/2.63 # There are 6 start rule candidates: 2.42/2.63 # Found 199 unit axioms. 2.42/2.63 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. 2.42/2.63 # 6 start rule tableaux created. 2.42/2.63 # 3315 extension rule candidate clauses 2.42/2.63 # 199 unit axiom clauses 2.42/2.63 2.42/2.63 # Requested 8, 32 cores available to the main process. 2.42/2.63 # There are not enough tableaux to fork, creating more from the initial 6 2.42/2.63 # Returning from population with 14 new_tableaux and 0 remaining starting tableaux. 2.42/2.63 # We now have 14 tableaux to operate on 31.61/6.36 # There were 1 total branch saturation attempts. 31.61/6.36 # There were 0 of these attempts blocked. 31.61/6.36 # There were 0 deferred branch saturation attempts. 31.61/6.36 # There were 0 free duplicated saturations. 31.61/6.36 # There were 1 total successful branch saturations. 31.61/6.36 # There were 0 successful branch saturations in interreduction. 31.61/6.36 # There were 0 successful branch saturations on the branch. 31.61/6.36 # There were 1 successful branch saturations after the branch. 31.61/6.36 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 31.61/6.36 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p 31.61/6.36 # Begin clausification derivation 31.61/6.36 31.61/6.36 # End clausification derivation 31.61/6.36 # Begin listing active clauses obtained from FOF to CNF conversion 31.61/6.36 cnf(i_0_504, negated_conjecture, (lattice(esk71_0))). 31.61/6.36 cnf(i_0_503, negated_conjecture, (latt_str(esk71_0))). 31.61/6.36 cnf(i_0_501, negated_conjecture, (element(esk72_0,the_carrier(poset_of_lattice(esk71_0))))). 31.61/6.36 cnf(i_0_2528, lemma, (relation_dom(empty_set)=empty_set)). 31.61/6.36 cnf(i_0_1100, plain, (lattice(esk154_0))). 31.61/6.36 cnf(i_0_805, plain, (latt_str(esk117_0))). 31.61/6.36 cnf(i_0_1070, plain, (latt_str(esk146_0))). 31.61/6.36 cnf(i_0_1105, plain, (latt_str(esk154_0))). 31.61/6.36 cnf(i_0_2134, plain, (latt_str(esk323_0))). 31.61/6.36 cnf(i_0_2529, lemma, (relation_rng(empty_set)=empty_set)). 31.61/6.36 cnf(i_0_523, plain, (v5_membered(empty_set))). 31.61/6.36 cnf(i_0_3801, plain, (v5_membered(esk414_0))). 31.61/6.36 cnf(i_0_524, plain, (v4_membered(empty_set))). 31.61/6.36 cnf(i_0_3802, plain, (v4_membered(esk414_0))). 31.61/6.36 cnf(i_0_522, plain, (v3_membered(empty_set))). 31.61/6.36 cnf(i_0_3800, plain, (v3_membered(esk414_0))). 31.61/6.36 cnf(i_0_521, plain, (v2_membered(empty_set))). 31.61/6.36 cnf(i_0_3799, plain, (v2_membered(esk414_0))). 31.61/6.36 cnf(i_0_520, plain, (v1_membered(empty_set))). 31.61/6.36 cnf(i_0_3798, plain, (v1_membered(esk414_0))). 31.61/6.36 cnf(i_0_1331, plain, (one_sorted_str(esk202_0))). 31.61/6.36 cnf(i_0_1893, plain, (one_sorted_str(esk286_0))). 31.61/6.36 cnf(i_0_386, plain, (meet_semilatt_str(esk59_0))). 31.61/6.36 cnf(i_0_3821, plain, (finite(esk418_0))). 31.61/6.36 cnf(i_0_2531, plain, (top_str(esk381_0))). 31.61/6.36 cnf(i_0_1098, plain, (join_commutative(esk154_0))). 31.61/6.36 cnf(i_0_1103, plain, (meet_commutative(esk154_0))). 31.61/6.36 cnf(i_0_1102, plain, (meet_absorbing(esk154_0))). 31.61/6.36 cnf(i_0_1101, plain, (join_absorbing(esk154_0))). 31.61/6.36 cnf(i_0_1099, plain, (meet_associative(esk154_0))). 31.61/6.36 cnf(i_0_1104, plain, (join_associative(esk154_0))). 31.61/6.36 cnf(i_0_399, plain, (empty(empty_set))). 31.61/6.36 cnf(i_0_170, plain, (empty(esk28_0))). 31.61/6.36 cnf(i_0_600, plain, (empty(esk82_0))). 31.61/6.36 cnf(i_0_1347, plain, (empty(esk207_0))). 31.61/6.36 cnf(i_0_1375, plain, (empty(esk209_0))). 31.61/6.36 cnf(i_0_1437, plain, (empty(esk226_0))). 31.61/6.36 cnf(i_0_395, plain, (relation(empty_set))). 31.61/6.36 cnf(i_0_168, plain, (relation(esk28_0))). 31.61/6.36 cnf(i_0_482, plain, (relation(esk69_0))). 31.61/6.36 cnf(i_0_599, plain, (relation(esk82_0))). 31.61/6.36 cnf(i_0_1349, plain, (relation(esk207_0))). 31.61/6.36 cnf(i_0_1376, plain, (relation(esk209_0))). 31.61/6.36 cnf(i_0_1809, plain, (relation(esk273_0))). 31.61/6.36 cnf(i_0_2099, plain, (relation(esk320_0))). 31.61/6.36 cnf(i_0_2128, plain, (relation(esk322_0))). 31.61/6.36 cnf(i_0_2268, plain, (relation(esk340_0))). 31.61/6.36 cnf(i_0_397, plain, (function(empty_set))). 31.61/6.36 cnf(i_0_171, plain, (function(esk28_0))). 31.61/6.36 cnf(i_0_483, plain, (function(esk69_0))). 31.61/6.36 cnf(i_0_1348, plain, (function(esk207_0))). 31.61/6.36 cnf(i_0_1370, plain, (function(esk209_0))). 31.61/6.36 cnf(i_0_2101, plain, (function(esk320_0))). 31.61/6.36 cnf(i_0_2270, plain, (function(esk340_0))). 31.61/6.36 cnf(i_0_398, plain, (one_to_one(empty_set))). 31.61/6.36 cnf(i_0_169, plain, (one_to_one(esk28_0))). 31.61/6.36 cnf(i_0_1371, plain, (one_to_one(esk209_0))). 31.61/6.36 cnf(i_0_2269, plain, (one_to_one(esk340_0))). 31.61/6.36 cnf(i_0_400, plain, (epsilon_transitive(empty_set))). 31.61/6.36 cnf(i_0_1767, plain, (epsilon_transitive(omega))). 31.61/6.36 cnf(i_0_176, plain, (epsilon_transitive(esk29_0))). 31.61/6.36 cnf(i_0_766, plain, (epsilon_transitive(esk109_0))). 31.61/6.36 cnf(i_0_1355, plain, (epsilon_transitive(esk208_0))). 31.61/6.36 cnf(i_0_1372, plain, (epsilon_transitive(esk209_0))). 31.61/6.36 cnf(i_0_3930, plain, (epsilon_transitive(esk442_0))). 31.61/6.36 cnf(i_0_402, plain, (epsilon_connected(empty_set))). 31.61/6.36 cnf(i_0_1770, plain, (epsilon_connected(omega))). 31.61/6.36 cnf(i_0_175, plain, (epsilon_connected(esk29_0))). 31.61/6.36 cnf(i_0_765, plain, (epsilon_connected(esk109_0))). 31.61/6.36 cnf(i_0_1356, plain, (epsilon_connected(esk208_0))). 31.61/6.36 cnf(i_0_1374, plain, (epsilon_connected(esk209_0))). 31.61/6.36 cnf(i_0_3929, plain, (epsilon_connected(esk442_0))). 31.61/6.36 cnf(i_0_401, plain, (ordinal(empty_set))). 31.61/6.36 cnf(i_0_1769, plain, (ordinal(omega))). 31.61/6.36 cnf(i_0_174, plain, (ordinal(esk29_0))). 31.61/6.36 cnf(i_0_764, plain, (ordinal(esk109_0))). 31.61/6.36 cnf(i_0_1357, plain, (ordinal(esk208_0))). 31.61/6.36 cnf(i_0_1373, plain, (ordinal(esk209_0))). 31.61/6.36 cnf(i_0_3927, plain, (ordinal(esk442_0))). 31.61/6.36 cnf(i_0_173, plain, (natural(esk29_0))). 31.61/6.36 cnf(i_0_291, plain, (join_semilatt_str(esk46_0))). 31.61/6.36 cnf(i_0_396, plain, (relation_empty_yielding(empty_set))). 31.61/6.36 cnf(i_0_2100, plain, (relation_empty_yielding(esk320_0))). 31.61/6.36 cnf(i_0_2129, plain, (relation_empty_yielding(esk322_0))). 31.61/6.36 cnf(i_0_510, plain, (antisymmetric_relstr(esk73_0))). 31.61/6.36 cnf(i_0_509, plain, (transitive_relstr(esk73_0))). 31.61/6.36 cnf(i_0_508, plain, (reflexive_relstr(esk73_0))). 31.61/6.36 cnf(i_0_507, plain, (strict_rel_str(esk73_0))). 31.61/6.36 cnf(i_0_1760, plain, (strict_rel_str(esk263_0))). 31.61/6.36 cnf(i_0_506, plain, (rel_str(esk73_0))). 31.61/6.36 cnf(i_0_1761, plain, (rel_str(esk263_0))). 31.61/6.36 cnf(i_0_1900, plain, (rel_str(esk288_0))). 31.61/6.36 cnf(i_0_3928, plain, (being_limit_ordinal(esk442_0))). 31.61/6.36 cnf(i_0_1068, plain, (strict_latt_str(esk146_0))). 31.61/6.36 cnf(i_0_1097, plain, (strict_latt_str(esk154_0))). 31.61/6.36 cnf(i_0_2135, plain, (strict_latt_str(esk323_0))). 31.61/6.36 cnf(i_0_2120, plain, (lattice(boole_lattice(X1)))). 31.61/6.36 cnf(i_0_1022, plain, (latt_str(boole_lattice(X1)))). 31.61/6.36 cnf(i_0_2330, lemma, (lower_bounded_semilattstr(boole_lattice(X1)))). 31.61/6.36 cnf(i_0_1408, plain, (finite(esk217_1(X1)))). 31.61/6.36 cnf(i_0_1673, plain, (being_limit_ordinal(omega))). 31.61/6.36 cnf(i_0_3849, plain, (set_meet(empty_set)=empty_set)). 31.61/6.36 cnf(i_0_2123, plain, (join_commutative(boole_lattice(X1)))). 31.61/6.36 cnf(i_0_2331, lemma, (bottom_of_semilattstr(boole_lattice(X1))=empty_set)). 31.61/6.36 cnf(i_0_2118, plain, (meet_commutative(boole_lattice(X1)))). 31.61/6.36 cnf(i_0_1918, plain, (subset(X1,X1))). 31.61/6.36 cnf(i_0_2122, plain, (meet_absorbing(boole_lattice(X1)))). 31.61/6.36 cnf(i_0_2121, plain, (join_absorbing(boole_lattice(X1)))). 31.61/6.36 cnf(i_0_2119, plain, (meet_associative(boole_lattice(X1)))). 31.61/6.36 cnf(i_0_2486, plain, (equipotent(X1,X1))). 31.61/6.36 cnf(i_0_2117, plain, (join_associative(boole_lattice(X1)))). 31.61/6.36 cnf(i_0_957, plain, (empty(esk127_1(X1)))). 31.61/6.36 cnf(i_0_1413, plain, (empty(esk217_1(X1)))). 31.61/6.36 cnf(i_0_762, plain, (relation(identity_relation(X1)))). 31.61/6.36 cnf(i_0_1639, plain, (relation(inclusion_relation(X1)))). 31.61/6.36 cnf(i_0_1382, lemma, (relation(esk210_1(X1)))). 31.61/6.36 cnf(i_0_1412, plain, (relation(esk217_1(X1)))). 31.61/6.36 cnf(i_0_2096, lemma, (relation(esk319_1(X1)))). 31.61/6.36 cnf(i_0_1632, plain, (function(identity_relation(X1)))). 31.61/6.36 cnf(i_0_1379, lemma, (function(esk210_1(X1)))). 31.61/6.36 cnf(i_0_1411, plain, (function(esk217_1(X1)))). 31.61/6.36 cnf(i_0_1405, plain, (one_to_one(esk217_1(X1)))). 31.61/6.36 cnf(i_0_1410, plain, (epsilon_transitive(esk217_1(X1)))). 31.61/6.36 cnf(i_0_1406, plain, (epsilon_connected(esk217_1(X1)))). 31.61/6.36 cnf(i_0_1407, plain, (ordinal(esk217_1(X1)))). 31.61/6.36 cnf(i_0_1409, plain, (natural(esk217_1(X1)))). 31.61/6.36 cnf(i_0_2350, lemma, (reflexive(inclusion_relation(X1)))). 31.61/6.36 cnf(i_0_3956, plain, (preboolean(powerset(X1)))). 31.61/6.36 cnf(i_0_3955, plain, (cup_closed(powerset(X1)))). 31.61/6.36 cnf(i_0_3957, plain, (diff_closed(powerset(X1)))). 31.61/6.36 cnf(i_0_2001, lemma, (transitive(inclusion_relation(X1)))). 31.61/6.36 cnf(i_0_1696, lemma, (antisymmetric(inclusion_relation(X1)))). 31.61/6.36 cnf(i_0_1021, plain, (strict_latt_str(boole_lattice(X1)))). 31.61/6.36 cnf(i_0_2102, lemma, (subset(empty_set,X1))). 31.61/6.36 cnf(i_0_1380, lemma, (relation_dom(esk210_1(X1))=X1)). 31.61/6.36 cnf(i_0_1762, plain, (element(X1,powerset(X1)))). 31.61/6.36 cnf(i_0_1385, plain, (element(esk211_1(X1),X1))). 31.61/6.36 cnf(i_0_1277, lemma, (union(powerset(X1))=X1)). 31.61/6.36 cnf(i_0_1176, lemma, (relation_dom(identity_relation(X1))=X1)). 31.61/6.36 cnf(i_0_1175, lemma, (relation_rng(identity_relation(X1))=X1)). 31.61/6.36 cnf(i_0_1705, plain, (set_difference(empty_set,X1)=empty_set)). 31.61/6.36 cnf(i_0_1764, plain, (set_union2(X1,empty_set)=X1)). 31.61/6.36 cnf(i_0_1443, plain, (set_difference(X1,empty_set)=X1)). 31.61/6.36 cnf(i_0_3844, plain, (set_union2(X1,X1)=X1)). 31.61/6.36 cnf(i_0_3952, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))). 31.61/6.36 cnf(i_0_1716, plain, (in(X1,esk256_1(X1)))). 31.61/6.36 cnf(i_0_2342, lemma, (in(X1,esk357_1(X1)))). 31.61/6.36 cnf(i_0_2095, lemma, (well_orders(esk319_1(X1),X1))). 31.61/6.36 cnf(i_0_1676, plain, (in(empty_set,omega))). 31.61/6.36 cnf(i_0_1243, plain, (finite(unordered_pair(X1,X1)))). 31.61/6.36 cnf(i_0_1701, plain, (relation(esk254_2(X1,X2)))). 31.61/6.36 cnf(i_0_2275, plain, (relation(esk341_2(X1,X2)))). 31.61/6.36 cnf(i_0_1703, plain, (function(esk254_2(X1,X2)))). 31.61/6.36 cnf(i_0_2274, plain, (function(esk341_2(X1,X2)))). 31.61/6.36 cnf(i_0_956, plain, (element(esk127_1(X1),powerset(X1)))). 31.61/6.36 cnf(i_0_1414, plain, (element(esk217_1(X1),powerset(X1)))). 31.61/6.36 cnf(i_0_2480, lemma, (subset(X1,set_union2(X1,X2)))). 31.61/6.36 cnf(i_0_951, lemma, (subset(set_difference(X1,X2),X1))). 31.61/6.36 cnf(i_0_167, plain, (set_difference(X1,X1)=empty_set)). 31.61/6.36 cnf(i_0_2464, plain, (relation_field(inclusion_relation(X1))=X1)). 31.61/6.36 cnf(i_0_379, plain, (relation_of2_as_subset(esk58_2(X1,X2),X1,X2))). 31.61/6.36 cnf(i_0_1702, plain, (quasi_total(esk254_2(X1,X2),X1,X2))). 31.61/6.36 cnf(i_0_1704, plain, (relation_of2(esk254_2(X1,X2),X1,X2))). 31.61/6.36 cnf(i_0_1708, plain, (relation_of2(esk255_2(X1,X2),X1,X2))). 31.61/6.36 cnf(i_0_2273, plain, (relation_of2(esk341_2(X1,X2),X1,X2))). 31.61/6.36 cnf(i_0_1344, plain, (the_carrier(boole_lattice(X1))=powerset(X1))). 31.61/6.36 cnf(i_0_209, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))). 31.61/6.36 cnf(i_0_484, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))). 31.61/6.36 cnf(i_0_804, lemma, (in(X1,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.36 cnf(i_0_2334, plain, (in(X1,unordered_pair(X2,X1)))). 31.61/6.36 cnf(i_0_2333, plain, (in(X1,unordered_pair(X1,X2)))). 31.61/6.36 cnf(i_0_240, plain, (in(X1,unordered_triple(X2,X1,X3)))). 31.61/6.36 cnf(i_0_239, plain, (in(X1,unordered_triple(X2,X3,X1)))). 31.61/6.36 cnf(i_0_238, plain, (in(X1,unordered_triple(X1,X2,X3)))). 31.61/6.36 cnf(i_0_1378, lemma, (pair_second(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X2)). 31.61/6.36 cnf(i_0_1377, lemma, (pair_first(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X1)). 31.61/6.36 cnf(i_0_2438, plain, (set_union2(X1,X2)=set_union2(X2,X1))). 31.61/6.36 cnf(i_0_1672, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). 31.61/6.36 cnf(i_0_1135, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))). 31.61/6.36 cnf(i_0_502, negated_conjecture, (~empty_carrier(esk71_0))). 31.61/6.36 cnf(i_0_511, plain, (~empty_carrier(esk73_0))). 31.61/6.36 cnf(i_0_1069, plain, (~empty_carrier(esk146_0))). 31.61/6.36 cnf(i_0_1096, plain, (~empty_carrier(esk154_0))). 31.61/6.36 cnf(i_0_1330, plain, (~empty_carrier(esk202_0))). 31.61/6.36 cnf(i_0_1768, plain, (~empty(omega))). 31.61/6.36 cnf(i_0_172, plain, (~empty(esk29_0))). 31.61/6.36 cnf(i_0_366, plain, (~empty(esk55_0))). 31.61/6.36 cnf(i_0_1358, plain, (~empty(esk208_0))). 31.61/6.36 cnf(i_0_1808, plain, (~empty(esk273_0))). 31.61/6.36 cnf(i_0_3797, plain, (~empty(esk414_0))). 31.61/6.36 cnf(i_0_3822, plain, (~empty(esk418_0))). 31.61/6.36 cnf(i_0_1439, plain, (~empty_carrier(boole_lattice(X1)))). 31.61/6.36 cnf(i_0_228, plain, (~proper_subset(X1,X1))). 31.61/6.36 cnf(i_0_1323, plain, (~empty(powerset(X1)))). 31.61/6.36 cnf(i_0_1450, plain, (~centered(empty_set))). 31.61/6.36 cnf(i_0_791, lemma, (unordered_pair(X1,X1)!=empty_set)). 31.61/6.36 cnf(i_0_595, plain, (~empty(unordered_pair(X1,X2)))). 31.61/6.36 cnf(i_0_1603, plain, (~in(X1,empty_set))). 31.61/6.36 cnf(i_0_2002, plain, (~empty(set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.36 cnf(i_0_500, negated_conjecture, (~relstr_element_smaller(poset_of_lattice(esk71_0),esk70_0,esk72_0)|~latt_set_smaller(esk71_0,cast_to_el_of_lattice(esk71_0,esk72_0),esk70_0))). 31.61/6.36 cnf(i_0_499, negated_conjecture, (relstr_element_smaller(poset_of_lattice(esk71_0),esk70_0,esk72_0)|latt_set_smaller(esk71_0,cast_to_el_of_lattice(esk71_0,esk72_0),esk70_0))). 31.61/6.36 cnf(i_0_2349, plain, (one_sorted_str(X1)|~meet_semilatt_str(X1))). 31.61/6.36 cnf(i_0_387, plain, (one_sorted_str(X1)|~top_str(X1))). 31.61/6.36 cnf(i_0_1048, plain, (one_sorted_str(X1)|~join_semilatt_str(X1))). 31.61/6.36 cnf(i_0_1846, plain, (one_sorted_str(X1)|~rel_str(X1))). 31.61/6.36 cnf(i_0_3960, plain, (relation(X1)|~empty(X1))). 31.61/6.36 cnf(i_0_2088, plain, (ordinal(X1)|~empty(X1))). 31.61/6.36 cnf(i_0_2436, lemma, (~proper_subset(X1,X2)|~subset(X2,X1))). 31.61/6.36 cnf(i_0_2457, plain, (~empty(X1)|~in(X2,X1))). 31.61/6.36 cnf(i_0_2452, plain, (v5_membered(X1)|~empty(X1))). 31.61/6.36 cnf(i_0_540, plain, (v4_membered(X1)|~v5_membered(X1))). 31.61/6.36 cnf(i_0_2451, plain, (v4_membered(X1)|~empty(X1))). 31.61/6.36 cnf(i_0_1170, plain, (meet_semilatt_str(X1)|~latt_str(X1))). 31.61/6.36 cnf(i_0_1171, plain, (join_semilatt_str(X1)|~latt_str(X1))). 31.61/6.36 cnf(i_0_1366, plain, (empty_carrier(X1)|~latt_str(X1)|~lattice(X1)|~empty_carrier(poset_of_lattice(X1)))). 31.61/6.36 cnf(i_0_2010, plain, (v3_membered(X1)|~v4_membered(X1))). 31.61/6.36 cnf(i_0_2453, plain, (v3_membered(X1)|~empty(X1))). 31.61/6.36 cnf(i_0_2262, plain, (v2_membered(X1)|~v3_membered(X1))). 31.61/6.36 cnf(i_0_2450, plain, (v2_membered(X1)|~empty(X1))). 31.61/6.36 cnf(i_0_517, plain, (empty_set=X1|~empty(X1))). 31.61/6.36 cnf(i_0_560, plain, (v1_membered(X1)|~v2_membered(X1))). 31.61/6.36 cnf(i_0_2449, plain, (v1_membered(X1)|~empty(X1))). 31.61/6.36 cnf(i_0_2518, plain, (finite(X1)|~empty(X1))). 31.61/6.36 cnf(i_0_767, plain, (function(X1)|~empty(X1))). 31.61/6.36 cnf(i_0_2090, plain, (epsilon_transitive(X1)|~empty(X1))). 31.61/6.36 cnf(i_0_1254, plain, (epsilon_transitive(X1)|~ordinal(X1))). 31.61/6.36 cnf(i_0_2089, plain, (epsilon_connected(X1)|~empty(X1))). 31.61/6.36 cnf(i_0_1255, plain, (epsilon_connected(X1)|~ordinal(X1))). 31.61/6.36 cnf(i_0_2267, plain, (cup_closed(X1)|~preboolean(X1))). 31.61/6.36 cnf(i_0_2266, plain, (diff_closed(X1)|~preboolean(X1))). 31.61/6.36 cnf(i_0_2094, plain, (epsilon_transitive(X1)|~element(X1,omega))). 31.61/6.36 cnf(i_0_2091, plain, (epsilon_connected(X1)|~element(X1,omega))). 31.61/6.36 cnf(i_0_2092, plain, (ordinal(X1)|~element(X1,omega))). 31.61/6.36 cnf(i_0_2093, plain, (natural(X1)|~element(X1,omega))). 31.61/6.36 cnf(i_0_1399, plain, (~in(X1,X2)|~in(X2,X1))). 31.61/6.36 cnf(i_0_2440, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))). 31.61/6.36 cnf(i_0_3804, plain, (being_limit_ordinal(X1)|union(X1)!=X1)). 31.61/6.36 cnf(i_0_1765, plain, (empty_carrier(X1)|~empty(the_carrier(X1))|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_222, plain, (empty(X1)|~empty(esk36_1(X1)))). 31.61/6.36 cnf(i_0_760, plain, (empty(X1)|~empty(esk108_1(X1)))). 31.61/6.36 cnf(i_0_2137, plain, (empty(X1)|~empty(esk324_1(X1)))). 31.61/6.36 cnf(i_0_1256, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))). 31.61/6.36 cnf(i_0_2519, plain, (reflexive(X1)|~well_ordering(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_493, plain, (preboolean(X1)|~diff_closed(X1)|~cup_closed(X1))). 31.61/6.36 cnf(i_0_2520, plain, (transitive(X1)|~well_ordering(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_2523, plain, (antisymmetric(X1)|~well_ordering(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_1317, plain, (function(X1)|esk201_1(X1)!=esk200_1(X1))). 31.61/6.36 cnf(i_0_1265, plain, (epsilon_connected(X1)|esk185_1(X1)!=esk184_1(X1))). 31.61/6.36 cnf(i_0_2264, plain, (subset(X1,X2)|~proper_subset(X1,X2))). 31.61/6.36 cnf(i_0_3946, plain, (equipotent(X1,X2)|~are_equipotent(X1,X2))). 31.61/6.36 cnf(i_0_1840, plain, (empty(the_carrier(X1))|~empty_carrier(X1)|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_513, lemma, (empty_set=X1|~subset(X1,empty_set))). 31.61/6.36 cnf(i_0_1452, plain, (natural(X1)|~empty(X1))). 31.61/6.36 cnf(i_0_2522, plain, (connected(X1)|~well_ordering(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_2521, plain, (well_founded_relation(X1)|~well_ordering(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_1604, plain, (element(X1,X2)|~in(X1,X2))). 31.61/6.36 cnf(i_0_1384, plain, (empty_carrier_subset(X1)=empty_set|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_3803, plain, (union(X1)=X1|~being_limit_ordinal(X1))). 31.61/6.36 cnf(i_0_1017, lemma, (cast_as_carrier_subset(X1)=the_carrier(X1)|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_2445, lemma, (ordinal(X1)|~in(X1,esk368_1(X2)))). 31.61/6.36 cnf(i_0_1128, plain, (epsilon_transitive(X1)|~subset(esk159_1(X1),X1))). 31.61/6.36 cnf(i_0_1055, plain, (empty(X1)|~empty(set_union2(X2,X1)))). 31.61/6.36 cnf(i_0_2553, plain, (empty(X1)|~empty(set_union2(X1,X2)))). 31.61/6.36 cnf(i_0_1257, plain, (empty_carrier(X1)|~empty(cast_as_carrier_subset(X1))|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_1449, plain, (X1=empty_set|centered(X1)|esk228_1(X1)!=empty_set)). 31.61/6.36 cnf(i_0_210, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))). 31.61/6.36 cnf(i_0_770, plain, (well_founded_relation(X1)|esk111_1(X1)!=empty_set|~relation(X1))). 31.61/6.36 cnf(i_0_747, plain, (empty_carrier(X1)|~empty(esk104_1(X1))|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_103, plain, (join_commutative(X1)|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_102, plain, (meet_commutative(X1)|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_101, plain, (meet_absorbing(X1)|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_223, plain, (empty(X1)|finite(esk36_1(X1)))). 31.61/6.36 cnf(i_0_109, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). 31.61/6.36 cnf(i_0_1620, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))). 31.61/6.36 cnf(i_0_3945, plain, (are_equipotent(X1,X2)|~equipotent(X1,X2))). 31.61/6.36 cnf(i_0_100, plain, (join_absorbing(X1)|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_99, plain, (meet_associative(X1)|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_98, plain, (join_associative(X1)|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_2498, lemma, (connected(X1)|esk379_1(X1)!=esk378_1(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_1831, lemma, (antisymmetric(X1)|esk276_1(X1)!=esk275_1(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_597, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))). 31.61/6.36 cnf(i_0_3941, plain, (v5_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_1362, plain, (antisymmetric_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_1363, plain, (transitive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_759, plain, (empty(X1)|finite(esk108_1(X1)))). 31.61/6.36 cnf(i_0_3940, plain, (v4_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_3942, plain, (v3_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_3943, plain, (v2_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_3944, plain, (v1_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_1364, plain, (reflexive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_1365, plain, (strict_rel_str(poset_of_lattice(X1))|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_1169, lemma, (X1=empty_set|relation_dom(X1)!=empty_set|~relation(X1))). 31.61/6.36 cnf(i_0_2260, plain, (empty(relation_dom(X1))|~empty(X1))). 31.61/6.36 cnf(i_0_579, plain, (empty(relation_inverse(X1))|~empty(X1))). 31.61/6.36 cnf(i_0_1314, plain, (empty(relation_rng(X1))|~empty(X1))). 31.61/6.36 cnf(i_0_3939, plain, (empty(empty_carrier_subset(X1))|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_1754, plain, (rel_str(poset_of_lattice(X1))|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_2261, plain, (relation(relation_dom(X1))|~empty(X1))). 31.61/6.36 cnf(i_0_580, plain, (relation(relation_inverse(X1))|~empty(X1))). 31.61/6.36 cnf(i_0_1462, plain, (relation(relation_inverse(X1))|~relation(X1))). 31.61/6.36 cnf(i_0_1168, lemma, (X1=empty_set|relation_rng(X1)!=empty_set|~relation(X1))). 31.61/6.36 cnf(i_0_1313, plain, (relation(relation_rng(X1))|~empty(X1))). 31.61/6.36 cnf(i_0_1270, plain, (relation(esk186_1(X1))|~finite(X1))). 31.61/6.36 cnf(i_0_785, plain, (function(the_L_meet(X1))|~meet_semilatt_str(X1))). 31.61/6.36 cnf(i_0_1284, plain, (function(the_L_join(X1))|~join_semilatt_str(X1))). 31.61/6.36 cnf(i_0_1273, plain, (function(esk186_1(X1))|~finite(X1))). 31.61/6.36 cnf(i_0_745, plain, (epsilon_transitive(union(X1))|~ordinal(X1))). 31.61/6.36 cnf(i_0_744, plain, (epsilon_connected(union(X1))|~ordinal(X1))). 31.61/6.36 cnf(i_0_743, plain, (ordinal(union(X1))|~ordinal(X1))). 31.61/6.36 cnf(i_0_2556, lemma, (connected(inclusion_relation(X1))|~ordinal(X1))). 31.61/6.36 cnf(i_0_598, plain, (X1=X2|~empty(X2)|~empty(X1))). 31.61/6.36 cnf(i_0_3823, lemma, (well_ordering(inclusion_relation(X1))|~ordinal(X1))). 31.61/6.36 cnf(i_0_1707, lemma, (well_founded_relation(inclusion_relation(X1))|~ordinal(X1))). 31.61/6.36 cnf(i_0_552, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)). 31.61/6.36 cnf(i_0_2444, lemma, (in(X1,X2)|~in(X1,esk368_1(X2)))). 31.61/6.36 cnf(i_0_2541, plain, (relation_inverse(relation_inverse(X1))=X1|~relation(X1))). 31.61/6.36 cnf(i_0_1278, plain, (element(X1,powerset(X2))|~subset(X1,X2))). 31.61/6.36 cnf(i_0_182, lemma, (relation(esk33_1(X1))|esk31_1(X1)!=esk32_1(X1))). 31.61/6.36 cnf(i_0_221, lemma, (relation_dom(X1)=empty_set|relation_rng(X1)!=empty_set|~relation(X1))). 31.61/6.36 cnf(i_0_1279, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). 31.61/6.36 cnf(i_0_1446, plain, (set_meet(esk228_1(X1))=empty_set|X1=empty_set|centered(X1))). 31.61/6.36 cnf(i_0_1271, plain, (relation_rng(esk186_1(X1))=X1|~finite(X1))). 31.61/6.36 cnf(i_0_382, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))). 31.61/6.36 cnf(i_0_1600, plain, (is_transitive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))). 31.61/6.36 cnf(i_0_1267, plain, (epsilon_connected(X1)|~in(esk184_1(X1),esk185_1(X1)))). 31.61/6.36 cnf(i_0_1266, plain, (epsilon_connected(X1)|~in(esk185_1(X1),esk184_1(X1)))). 31.61/6.36 cnf(i_0_183, lemma, (function(esk33_1(X1))|esk31_1(X1)!=esk32_1(X1))). 31.61/6.36 cnf(i_0_1334, plain, (empty_carrier(X1)|~topological_space(X1)|~empty(esk204_1(X1))|~top_str(X1))). 31.61/6.36 cnf(i_0_381, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)). 31.61/6.36 cnf(i_0_220, lemma, (relation_rng(X1)=empty_set|relation_dom(X1)!=empty_set|~relation(X1))). 31.61/6.36 cnf(i_0_1447, plain, (X1=empty_set|centered(X1)|finite(esk228_1(X1)))). 31.61/6.36 cnf(i_0_2131, plain, (one_to_one(X1)|~empty(X1))). 31.61/6.36 cnf(i_0_179, plain, (connected(X1)|~is_connected_in(X1,relation_field(X1))|~relation(X1))). 31.61/6.36 cnf(i_0_226, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1))). 31.61/6.36 cnf(i_0_3808, plain, (transitive(X1)|~is_transitive_in(X1,relation_field(X1))|~relation(X1))). 31.61/6.36 cnf(i_0_1602, plain, (empty_set=X1|in(esk242_1(X1),X1))). 31.61/6.36 cnf(i_0_1823, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))). 31.61/6.36 cnf(i_0_1138, plain, (ordinal(X1)|esk163_0!=esk162_0|~in(X1,esk164_1(X2)))). 31.61/6.36 cnf(i_0_219, plain, (relation(relation_of_lattice(X1))|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_1626, plain, (reflexive(k2_lattice3(X1))|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_1077, lemma, (esk148_1(X1)=empty_set|relation(esk147_1(X1))|empty(X1))). 31.61/6.36 cnf(i_0_1260, plain, (antisymmetric(X1)|~is_antisymmetric_in(X1,relation_field(X1))|~relation(X1))). 31.61/6.36 cnf(i_0_739, lemma, (well_ordering(X1)|~well_orders(X1,relation_field(X1))|~relation(X1))). 31.61/6.36 cnf(i_0_1057, lemma, (well_founded_relation(X1)|~is_well_founded_in(X1,relation_field(X1))|~relation(X1))). 31.61/6.36 cnf(i_0_1629, plain, (transitive(k2_lattice3(X1))|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_1630, plain, (antisymmetric(k2_lattice3(X1))|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_2085, plain, (empty(X1)|~empty(X2)|~element(X1,X2))). 31.61/6.36 cnf(i_0_1320, plain, (epsilon_transitive(X1)|~ordinal(X2)|~element(X1,X2))). 31.61/6.36 cnf(i_0_1075, lemma, (esk148_1(X1)=empty_set|function(esk147_1(X1))|empty(X1))). 31.61/6.36 cnf(i_0_2517, lemma, (relation_dom(relation_inverse(X1))=relation_rng(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_555, plain, (disjoint(X1,X2)|~disjoint(X2,X1))). 31.61/6.36 cnf(i_0_2356, plain, (equipotent(X1,X2)|~equipotent(X2,X1))). 31.61/6.36 cnf(i_0_1682, lemma, (~in(X1,X2)|~in(X3,X1)|~in(X2,X3))). 31.61/6.36 cnf(i_0_1812, lemma, (~disjoint(X1,X2)|~in(X3,X1)|~in(X3,X2))). 31.61/6.36 cnf(i_0_2516, lemma, (relation_rng(relation_inverse(X1))=relation_dom(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_1321, plain, (epsilon_connected(X1)|~ordinal(X2)|~element(X1,X2))). 31.61/6.36 cnf(i_0_1322, plain, (ordinal(X1)|~ordinal(X2)|~element(X1,X2))). 31.61/6.36 cnf(i_0_289, plain, (natural(X1)|~element(X1,X2)|~v5_membered(X2))). 31.61/6.36 cnf(i_0_287, plain, (v1_rat_1(X1)|~element(X1,X2)|~v5_membered(X2))). 31.61/6.36 cnf(i_0_1073, lemma, (relation_dom(esk147_1(X1))=X1|esk148_1(X1)=empty_set|empty(X1))). 31.61/6.36 cnf(i_0_1166, plain, (relation(X1)|in(esk167_1(X1),X1))). 31.61/6.36 cnf(i_0_2488, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))). 31.61/6.36 cnf(i_0_568, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))). 31.61/6.36 cnf(i_0_545, plain, (subset(X1,X2)|~in(esk78_2(X1,X2),X2))). 31.61/6.36 cnf(i_0_1752, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))). 31.61/6.36 cnf(i_0_1129, plain, (epsilon_transitive(X1)|in(esk159_1(X1),X1))). 31.61/6.36 cnf(i_0_533, plain, (v1_rat_1(X1)|~element(X1,X2)|~v4_membered(X2))). 31.61/6.36 cnf(i_0_285, plain, (v1_rat_1(X1)|~element(X1,X2)|~v3_membered(X2))). 31.61/6.36 cnf(i_0_288, plain, (v1_xreal_0(X1)|~element(X1,X2)|~v5_membered(X2))). 31.61/6.36 cnf(i_0_535, plain, (v1_xreal_0(X1)|~element(X1,X2)|~v4_membered(X2))). 31.61/6.36 cnf(i_0_1751, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))). 31.61/6.36 cnf(i_0_3948, plain, (~in(X1,esk446_2(X2,X3))|~in(X2,X3)|~in(X1,X3))). 31.61/6.36 cnf(i_0_1264, plain, (epsilon_connected(X1)|in(esk184_1(X1),X1))). 31.61/6.36 cnf(i_0_284, plain, (v1_xreal_0(X1)|~element(X1,X2)|~v3_membered(X2))). 31.61/6.36 cnf(i_0_1614, plain, (v1_xreal_0(X1)|~element(X1,X2)|~v2_membered(X2))). 31.61/6.36 cnf(i_0_1110, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v1_membered(X2))). 31.61/6.36 cnf(i_0_290, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v5_membered(X2))). 31.61/6.36 cnf(i_0_643, lemma, (being_limit_ordinal(X1)|ordinal(esk90_1(X1))|~ordinal(X1))). 31.61/6.36 cnf(i_0_1268, plain, (epsilon_connected(X1)|in(esk185_1(X1),X1))). 31.61/6.36 cnf(i_0_3938, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))). 31.61/6.36 cnf(i_0_1905, lemma, (finite(X1)|~finite(X2)|~subset(X1,X2))). 31.61/6.36 cnf(i_0_385, lemma, (ordinal(X1)|~ordinal(X2)|~in(X1,X2))). 31.61/6.36 cnf(i_0_1302, lemma, (ordinal(X1)|in(esk193_1(X1),X1))). 31.61/6.36 cnf(i_0_532, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v4_membered(X2))). 31.61/6.36 cnf(i_0_283, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v3_membered(X2))). 31.61/6.36 cnf(i_0_1615, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v2_membered(X2))). 31.61/6.36 cnf(i_0_286, plain, (v1_int_1(X1)|~element(X1,X2)|~v5_membered(X2))). 31.61/6.36 cnf(i_0_2347, lemma, (being_limit_ordinal(X1)|ordinal(esk358_1(X1))|~ordinal(X1))). 31.61/6.36 cnf(i_0_553, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))). 31.61/6.36 cnf(i_0_534, plain, (v1_int_1(X1)|~element(X1,X2)|~v4_membered(X2))). 31.61/6.36 cnf(i_0_1598, plain, (is_connected_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))). 31.61/6.36 cnf(i_0_1601, plain, (is_reflexive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))). 31.61/6.36 cnf(i_0_1597, plain, (is_antisymmetric_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))). 31.61/6.36 cnf(i_0_2536, plain, (relation(function_inverse(X1))|~function(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_2535, plain, (function(function_inverse(X1))|~function(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_2086, plain, (element(X1,X2)|~empty(X2)|~empty(X1))). 31.61/6.36 cnf(i_0_1684, plain, (empty_carrier(X1)|element(bottom_of_semilattstr(X1),the_carrier(X1))|~meet_semilatt_str(X1))). 31.61/6.36 cnf(i_0_1448, plain, (X1=empty_set|centered(X1)|subset(esk228_1(X1),X1))). 31.61/6.36 cnf(i_0_495, plain, (v5_membered(set_difference(X1,X2))|~v5_membered(X1))). 31.61/6.36 cnf(i_0_1599, plain, (is_well_founded_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))). 31.61/6.36 cnf(i_0_1301, lemma, (ordinal(X1)|~ordinal(esk193_1(X1))|~subset(esk193_1(X1),X1))). 31.61/6.36 cnf(i_0_1665, plain, (~empty(X1)|~in(X2,X3)|~element(X3,powerset(X1)))). 31.61/6.36 cnf(i_0_207, plain, (ordinal_subset(X1,X1)|~ordinal(X2)|~ordinal(X1))). 31.61/6.36 cnf(i_0_496, plain, (v4_membered(set_difference(X1,X2))|~v5_membered(X1))). 31.61/6.36 cnf(i_0_601, plain, (v4_membered(set_difference(X1,X2))|~v4_membered(X1))). 31.61/6.36 cnf(i_0_494, plain, (v3_membered(set_difference(X1,X2))|~v5_membered(X1))). 31.61/6.36 cnf(i_0_602, plain, (v3_membered(set_difference(X1,X2))|~v4_membered(X1))). 31.61/6.36 cnf(i_0_548, plain, (v3_membered(set_difference(X1,X2))|~v3_membered(X1))). 31.61/6.36 cnf(i_0_1274, plain, (relation_of_lattice(X1)=a_1_0_filter_1(X1)|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_497, plain, (v2_membered(set_difference(X1,X2))|~v5_membered(X1))). 31.61/6.36 cnf(i_0_2481, plain, (one_to_one(X1)|esk377_1(X1)!=esk376_1(X1)|~function(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_3810, lemma, (subset(relation_dom(X1),X2)|~relation_of2_as_subset(X1,X2,X3))). 31.61/6.36 cnf(i_0_3809, lemma, (subset(relation_rng(X1),X2)|~relation_of2_as_subset(X1,X3,X2))). 31.61/6.36 cnf(i_0_1607, plain, (is_well_founded_in(X1,X2)|esk244_2(X1,X2)!=empty_set|~relation(X1))). 31.61/6.36 cnf(i_0_603, plain, (v2_membered(set_difference(X1,X2))|~v4_membered(X1))). 31.61/6.36 cnf(i_0_547, plain, (v2_membered(set_difference(X1,X2))|~v3_membered(X1))). 31.61/6.36 cnf(i_0_2353, plain, (v2_membered(set_difference(X1,X2))|~v2_membered(X1))). 31.61/6.36 cnf(i_0_498, plain, (v1_membered(set_difference(X1,X2))|~v5_membered(X1))). 31.61/6.36 cnf(i_0_604, plain, (v1_membered(set_difference(X1,X2))|~v4_membered(X1))). 31.61/6.36 cnf(i_0_2271, plain, (relation_of_lattice(X1)=k2_lattice3(X1)|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.36 cnf(i_0_549, plain, (v1_membered(set_difference(X1,X2))|~v3_membered(X1))). 31.61/6.36 cnf(i_0_1239, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))). 31.61/6.36 cnf(i_0_403, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))). 31.61/6.36 cnf(i_0_3845, plain, (subset(X1,X2)|~ordinal_subset(X1,X2)|~ordinal(X2)|~ordinal(X1))). 31.61/6.36 cnf(i_0_2282, lemma, (in(X1,X2)|~proper_subset(X1,X2)|~ordinal(X2)|~epsilon_transitive(X1))). 31.61/6.36 cnf(i_0_2354, plain, (v1_membered(set_difference(X1,X2))|~v2_membered(X1))). 31.61/6.36 cnf(i_0_2011, plain, (v1_membered(set_difference(X1,X2))|~v1_membered(X1))). 31.61/6.36 cnf(i_0_1181, plain, (finite(set_difference(X1,X2))|~finite(X1))). 31.61/6.36 cnf(i_0_2257, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1))). 31.61/6.36 cnf(i_0_3953, plain, (relation(relation_rng_restriction(X1,X2))|~relation(X2))). 31.61/6.36 cnf(i_0_763, plain, (relation(relation_restriction(X1,X2))|~relation(X1))). 31.61/6.36 cnf(i_0_3806, plain, (antisymmetric_relstr(X1)|~rel_str(X1)|~is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1)))). 31.61/6.36 cnf(i_0_3782, plain, (transitive_relstr(X1)|~rel_str(X1)|~is_transitive_in(the_InternalRel(X1),the_carrier(X1)))). 31.61/6.36 cnf(i_0_505, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X2,X1)))). 31.61/6.36 cnf(i_0_1624, lemma, (~in(X1,subset_complement(X2,X3))|~in(X1,X3)|~element(X3,powerset(X2)))). 31.61/6.36 cnf(i_0_803, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))). 31.61/6.36 cnf(i_0_376, plain, (element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_1811, plain, (element(empty_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_1154, plain, (esk161_0=esk162_0|ordinal(X1)|~in(X1,esk164_1(X2)))). 31.61/6.36 cnf(i_0_1146, plain, (esk161_0=esk163_0|ordinal(X1)|~in(X1,esk164_1(X2)))). 31.61/6.36 cnf(i_0_1127, plain, (subset(X1,X2)|~epsilon_transitive(X2)|~in(X1,X2))). 31.61/6.36 cnf(i_0_2487, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))). 31.61/6.36 cnf(i_0_177, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)). 31.61/6.36 cnf(i_0_2112, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))). 31.61/6.36 cnf(i_0_554, lemma, (subset(X1,union(X2))|~in(X1,X2))). 31.61/6.36 cnf(i_0_984, plain, (relation(esk133_2(X1,X2))|~equipotent(X1,X2))). 31.61/6.36 cnf(i_0_983, plain, (function(esk133_2(X1,X2))|~equipotent(X1,X2))). 31.61/6.36 cnf(i_0_1245, plain, (relation(the_L_meet(X1))|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1))). 31.61/6.36 cnf(i_0_2546, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))). 31.61/6.36 cnf(i_0_1150, plain, (ordinal(esk162_0)|ordinal(X1)|~in(X1,esk164_1(X2)))). 31.61/6.36 cnf(i_0_1142, plain, (ordinal(esk163_0)|ordinal(X1)|~in(X1,esk164_1(X2)))). 31.61/6.36 cnf(i_0_982, plain, (one_to_one(esk133_2(X1,X2))|~equipotent(X1,X2))). 31.61/6.36 cnf(i_0_3745, lemma, (element(X1,powerset(X2))|~in(esk397_2(X1,X2),X2))). 31.61/6.36 cnf(i_0_224, plain, (empty(X1)|element(esk36_1(X1),powerset(X1)))). 31.61/6.36 cnf(i_0_761, plain, (empty(X1)|element(esk108_1(X1),powerset(X1)))). 31.61/6.36 cnf(i_0_2103, plain, (relation(the_L_meet(X1))|empty_carrier(X1)|~meet_associative(X1)|~meet_semilatt_str(X1))). 31.61/6.36 cnf(i_0_1690, plain, (is_connected_in(X1,X2)|esk253_2(X1,X2)!=esk252_2(X1,X2)|~relation(X1))). 31.61/6.36 cnf(i_0_371, plain, (is_antisymmetric_in(X1,X2)|esk57_2(X1,X2)!=esk56_2(X1,X2)|~relation(X1))). 31.61/6.36 cnf(i_0_1828, lemma, (in(X1,X2)|~relation(X2)|~in(X1,relation_restriction(X2,X3)))). 31.61/6.36 cnf(i_0_1890, plain, (v5_membered(X1)|~element(X1,powerset(X2))|~v5_membered(X2))). 31.61/6.36 cnf(i_0_2136, plain, (empty(X1)|element(esk324_1(X1),powerset(X1)))). 31.61/6.36 cnf(i_0_742, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). 31.61/6.36 cnf(i_0_1891, plain, (v4_membered(X1)|~element(X1,powerset(X2))|~v5_membered(X2))). 31.61/6.36 cnf(i_0_1063, plain, (relation(the_L_join(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_commutative(X1))). 31.61/6.36 cnf(i_0_1635, plain, (v4_membered(X1)|~element(X1,powerset(X2))|~v4_membered(X2))). 31.61/6.36 cnf(i_0_1892, plain, (v3_membered(X1)|~element(X1,powerset(X2))|~v5_membered(X2))). 31.61/6.36 cnf(i_0_1636, plain, (v3_membered(X1)|~element(X1,powerset(X2))|~v4_membered(X2))). 31.61/6.36 cnf(i_0_565, plain, (v3_membered(X1)|~element(X1,powerset(X2))|~v3_membered(X2))). 31.61/6.36 cnf(i_0_1889, plain, (v2_membered(X1)|~element(X1,powerset(X2))|~v5_membered(X2))). 31.61/6.36 cnf(i_0_1637, plain, (v2_membered(X1)|~element(X1,powerset(X2))|~v4_membered(X2))). 31.61/6.36 cnf(i_0_564, plain, (v2_membered(X1)|~element(X1,powerset(X2))|~v3_membered(X2))). 31.61/6.36 cnf(i_0_1351, plain, (v2_membered(X1)|~element(X1,powerset(X2))|~v2_membered(X2))). 31.61/6.36 cnf(i_0_2501, plain, (relation(the_L_join(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_associative(X1))). 31.61/6.36 cnf(i_0_1901, lemma, (relation_image(X1,relation_dom(X1))=relation_rng(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_581, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v1_membered(X2))). 31.61/6.36 cnf(i_0_1888, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v5_membered(X2))). 31.61/6.36 cnf(i_0_1634, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v4_membered(X2))). 31.61/6.36 cnf(i_0_566, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v3_membered(X2))). 31.61/6.36 cnf(i_0_1272, plain, (in(relation_dom(esk186_1(X1)),omega)|~finite(X1))). 31.61/6.36 cnf(i_0_1352, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v2_membered(X2))). 31.61/6.36 cnf(i_0_1345, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))). 31.61/6.36 cnf(i_0_1253, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2))))). 31.61/6.36 cnf(i_0_2265, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))). 31.61/6.36 cnf(i_0_2428, plain, (subset(X1,cartesian_product2(X2,X3))|~relation_of2(X1,X2,X3))). 31.61/6.36 cnf(i_0_3846, plain, (ordinal_subset(X1,X2)|~ordinal(X2)|~ordinal(X1)|~subset(X1,X2))). 31.61/6.36 cnf(i_0_1445, plain, (empty(X1)|~relation_of2(X2,X1,X1)|~empty_carrier(rel_str_of(X1,X2)))). 31.61/6.36 cnf(i_0_2098, lemma, (apply(identity_relation(X1),X2)=X2|~in(X2,X1))). 31.61/6.36 cnf(i_0_3811, plain, (cast_to_el_of_lattice(X1,X2)=X2|empty_carrier(X1)|~latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(poset_of_lattice(X1))))). 31.61/6.36 cnf(i_0_1107, lemma, (subset(relation_dom_restriction(X1,X2),X1)|~relation(X1))). 31.61/6.36 cnf(i_0_3958, plain, (function(relation_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_1710, lemma, (one_to_one(function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_2427, plain, (relation_of2(X1,X2,X3)|~subset(X1,cartesian_product2(X2,X3)))). 31.61/6.36 cnf(i_0_1180, lemma, (subset(relation_rng_restriction(X1,X2),X2)|~relation(X2))). 31.61/6.36 cnf(i_0_1896, plain, (~relation(X1)|~in(X2,fiber(X1,X2)))). 31.61/6.36 cnf(i_0_1700, plain, (latt_str(k8_filter_1(X1,X2))|empty_carrier(X1)|empty_carrier(X2)|~latt_str(X2)|~latt_str(X1))). 31.61/6.36 cnf(i_0_122, plain, (empty_carrier(X1)|element(esk19_1(X1),the_carrier(X1))|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1))). 31.61/6.36 cnf(i_0_3807, plain, (is_transitive_in(X1,relation_field(X1))|~transitive(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_561, plain, (relation_inverse(X1)=function_inverse(X1)|~one_to_one(X1)|~function(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_981, plain, (relation_rng(esk133_2(X1,X2))=X2|~equipotent(X1,X2))). 31.61/6.36 cnf(i_0_180, plain, (is_connected_in(X1,relation_field(X1))|~connected(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_227, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_1261, plain, (is_antisymmetric_in(X1,relation_field(X1))|~antisymmetric(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_738, lemma, (well_orders(X1,relation_field(X1))|~well_ordering(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_980, plain, (relation_dom(esk133_2(X1,X2))=X1|~equipotent(X1,X2))). 31.61/6.36 cnf(i_0_1056, lemma, (is_well_founded_in(X1,relation_field(X1))|~well_founded_relation(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_364, plain, (open_subset(esk54_1(X1),X1)|~topological_space(X1)|~top_str(X1))). 31.61/6.36 cnf(i_0_1393, plain, (open_subset(esk213_1(X1),X1)|~topological_space(X1)|~top_str(X1))). 31.61/6.36 cnf(i_0_3950, plain, (closed_subset(cast_as_carrier_subset(X1),X1)|~topological_space(X1)|~top_str(X1))). 31.61/6.36 cnf(i_0_1178, plain, (closed_subset(esk170_1(X1),X1)|~topological_space(X1)|~top_str(X1))). 31.61/6.36 cnf(i_0_1394, plain, (closed_subset(esk213_1(X1),X1)|~topological_space(X1)|~top_str(X1))). 31.61/6.36 cnf(i_0_2355, plain, (finite(set_union2(X1,X2))|~finite(X1)|~finite(X2))). 31.61/6.36 cnf(i_0_1425, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). 31.61/6.36 cnf(i_0_2286, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). 31.61/6.36 cnf(i_0_1422, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))). 31.61/6.36 cnf(i_0_1655, plain, (relation(set_difference(X1,X2))|~relation(X1)|~relation(X2))). 31.61/6.36 cnf(i_0_192, lemma, (relation(esk33_1(X1))|in(esk30_1(X1),X1))). 31.61/6.36 cnf(i_0_225, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~relation(X2))). 31.61/6.36 cnf(i_0_1426, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). 31.61/6.36 cnf(i_0_2287, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). 31.61/6.36 cnf(i_0_578, plain, (function(relation_dom_restriction(X1,X2))|~function(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_378, plain, (function(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2))). 31.61/6.36 cnf(i_0_3824, lemma, (connected(relation_restriction(X1,X2))|~connected(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_1383, lemma, (reflexive(relation_restriction(X1,X2))|~reflexive(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_563, plain, (relation_empty_yielding(relation_dom_restriction(X1,X2))|~relation_empty_yielding(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_1810, lemma, (transitive(relation_restriction(X1,X2))|~transitive(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_1463, lemma, (antisymmetric(relation_restriction(X1,X2))|~antisymmetric(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_1817, lemma, (well_ordering(relation_restriction(X1,X2))|~well_ordering(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_94, plain, (compact_top_space(X1)|is_a_cover_of_carrier(X1,esk14_1(X1))|~top_str(X1))). 31.61/6.36 cnf(i_0_2441, lemma, (well_founded_relation(relation_restriction(X1,X2))|~well_founded_relation(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_3776, plain, (meet_absorbing(X1)|empty_carrier(X1)|element(esk407_1(X1),the_carrier(X1))|~latt_str(X1))). 31.61/6.36 cnf(i_0_3775, plain, (meet_absorbing(X1)|empty_carrier(X1)|element(esk408_1(X1),the_carrier(X1))|~latt_str(X1))). 31.61/6.36 cnf(i_0_746, plain, (empty_carrier(X1)|element(esk104_1(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))). 31.61/6.36 cnf(i_0_193, lemma, (function(esk33_1(X1))|in(esk30_1(X1),X1))). 31.61/6.36 cnf(i_0_96, plain, (compact_top_space(X1)|open_subsets(esk14_1(X1),X1)|~top_str(X1))). 31.61/6.36 cnf(i_0_1458, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_dom(relation_dom_restriction(X3,X2))))). 31.61/6.36 cnf(i_0_1050, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_field(relation_restriction(X3,X2))))). 31.61/6.36 cnf(i_0_3858, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_rng(relation_rng_restriction(X2,X3))))). 31.61/6.36 cnf(i_0_2346, lemma, (being_limit_ordinal(X1)|in(esk358_1(X1),X1)|~ordinal(X1))). 31.61/6.36 cnf(i_0_627, plain, (in(the_carrier(X1),the_topology(X1))|~topological_space(X1)|~top_str(X1))). 31.61/6.36 cnf(i_0_3783, plain, (is_transitive_in(the_InternalRel(X1),the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1))). 31.61/6.36 cnf(i_0_3805, plain, (is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))|~rel_str(X1)|~antisymmetric_relstr(X1))). 31.61/6.36 cnf(i_0_365, plain, (element(esk54_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))). 31.61/6.36 cnf(i_0_641, lemma, (~being_limit_ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))). 31.61/6.36 cnf(i_0_955, lemma, (relation_composition(identity_relation(X1),X2)=relation_dom_restriction(X2,X1)|~relation(X2))). 31.61/6.36 cnf(i_0_1388, lemma, (ordinal(esk212_1(X1))|~ordinal(X2)|~in(X2,X1))). 31.61/6.36 cnf(i_0_1880, lemma, (finite(relation_rng(X1))|~function(X1)|~relation(X1)|~finite(relation_dom(X1)))). 31.61/6.36 cnf(i_0_2443, lemma, (in(X1,esk368_1(X2))|~ordinal(X1)|~in(X1,X2))). 31.61/6.36 cnf(i_0_611, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))). 31.61/6.36 cnf(i_0_546, plain, (in(esk78_2(X1,X2),X1)|subset(X1,X2))). 31.61/6.36 cnf(i_0_1177, plain, (element(esk170_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))). 31.61/6.36 cnf(i_0_1392, plain, (element(esk213_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))). 31.61/6.36 cnf(i_0_2081, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))). 31.61/6.36 cnf(i_0_633, plain, (union_of_subsets(X1,X2)=union(X2)|~element(X2,powerset(powerset(X1))))). 31.61/6.36 cnf(i_0_515, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))). 31.61/6.36 cnf(i_0_544, plain, (in(X1,X2)|~in(X1,X3)|~subset(X3,X2))). 31.61/6.36 cnf(i_0_1815, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))). 31.61/6.36 cnf(i_0_1640, lemma, (well_ordering(relation_restriction(X1,X2))|~well_orders(X1,X2)|~relation(X1))). 31.61/6.36 cnf(i_0_1415, lemma, (in(X1,cartesian_product2(X2,X3))|~in(X1,esk218_2(X2,X3)))). 31.61/6.36 cnf(i_0_1813, lemma, (disjoint(X1,X2)|in(esk274_2(X1,X2),X2))). 31.61/6.36 cnf(i_0_550, plain, (element(the_topology(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1))). 31.61/6.36 cnf(i_0_1653, plain, (relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1))). 31.61/6.36 cnf(i_0_1139, plain, (esk165_2(X1,X2)=X2|esk163_0!=esk162_0|~in(X2,esk164_1(X1)))). 31.61/6.36 cnf(i_0_388, plain, (empty_carrier(X1)|element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))|~latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(poset_of_lattice(X1))))). 31.61/6.36 cnf(i_0_1114, lemma, (centered(esk155_1(X1))|compact_top_space(X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1))). 31.61/6.36 cnf(i_0_1814, lemma, (disjoint(X1,X2)|in(esk274_2(X1,X2),X1))). 31.61/6.36 cnf(i_0_2524, plain, (well_ordering(X1)|~well_founded_relation(X1)|~antisymmetric(X1)|~transitive(X1)|~reflexive(X1)|~connected(X1)|~relation(X1))). 31.61/6.36 cnf(i_0_3815, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))). 31.61/6.36 cnf(i_0_2540, plain, (set_difference(X1,X2)=subset_complement(X1,X2)|~element(X2,powerset(X1)))). 31.61/6.36 cnf(i_0_3765, plain, (element(X1,X2)|~in(X1,X3)|~element(X3,powerset(X2)))). 31.61/6.36 cnf(i_0_3841, lemma, (esk425_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk424_1(X1)))). 31.61/6.36 cnf(i_0_367, lemma, (complements_of_subsets(X1,empty_set)=empty_set|~element(empty_set,powerset(powerset(X1))))). 31.61/6.36 cnf(i_0_1078, lemma, (relation(esk147_1(X1))|empty(X1)|in(esk148_1(X1),X1))). 31.61/6.36 cnf(i_0_1390, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))). 31.61/6.36 cnf(i_0_3947, plain, (in(esk446_2(X1,X2),X2)|~in(X1,X2))). 31.61/6.36 cnf(i_0_3922, lemma, (X1=empty_set|relation_inverse_image(X2,X1)!=empty_set|~relation(X2)|~subset(X1,relation_rng(X2)))). 31.61/6.37 cnf(i_0_593, plain, (strict_rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))). 31.61/6.37 cnf(i_0_1155, plain, (esk165_2(X1,X2)=X2|esk161_0=esk162_0|~in(X2,esk164_1(X1)))). 31.61/6.37 cnf(i_0_796, plain, (cast_to_el_of_LattPOSet(X1,X2)=X2|empty_carrier(X1)|~latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_2555, lemma, (empty_carrier(X1)|~is_a_cover_of_carrier(X1,empty_set)|~one_sorted_str(X1)|~element(empty_set,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2097, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))). 31.61/6.37 cnf(i_0_1076, lemma, (function(esk147_1(X1))|empty(X1)|in(esk148_1(X1),X1))). 31.61/6.37 cnf(i_0_1147, plain, (esk165_2(X1,X2)=X2|esk161_0=esk163_0|~in(X2,esk164_1(X1)))). 31.61/6.37 cnf(i_0_594, plain, (rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))). 31.61/6.37 cnf(i_0_586, plain, (one_to_one(X1)|~relation_isomorphism(X2,X3,X1)|~function(X1)|~relation(X3)|~relation(X2)|~relation(X1))). 31.61/6.37 cnf(i_0_1818, plain, (relation(the_InternalRel(X1))|~rel_str(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1))). 31.61/6.37 cnf(i_0_1819, plain, (reflexive(the_InternalRel(X1))|~rel_str(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1))). 31.61/6.37 cnf(i_0_1350, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_1157, plain, (rel_str_of(the_carrier(X1),the_InternalRel(X1))=X1|~rel_str(X1)|~strict_rel_str(X1))). 31.61/6.37 cnf(i_0_1054, plain, (rel_str_of(the_carrier(X1),k2_lattice3(X1))=poset_of_lattice(X1)|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.37 cnf(i_0_1699, plain, (strict_latt_str(k8_filter_1(X1,X2))|empty_carrier(X1)|empty_carrier(X2)|~latt_str(X2)|~latt_str(X1))). 31.61/6.37 cnf(i_0_1058, lemma, (X1=X2|X2=X3|unordered_pair(X2,X4)!=unordered_pair(X3,X1))). 31.61/6.37 cnf(i_0_383, lemma, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_2437, lemma, (subset(relation_inverse_image(X1,X2),relation_dom(X1))|~relation(X1))). 31.61/6.37 cnf(i_0_1822, plain, (transitive(the_InternalRel(X1))|~rel_str(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1))). 31.61/6.37 cnf(i_0_1820, plain, (antisymmetric(the_InternalRel(X1))|~rel_str(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1))). 31.61/6.37 cnf(i_0_1619, plain, (subset(X1,X2)|~in(X1,powerset(X2)))). 31.61/6.37 cnf(i_0_1367, lemma, (subset(relation_image(X1,X2),relation_rng(X1))|~relation(X1))). 31.61/6.37 cnf(i_0_1335, plain, (closed_subset(esk204_1(X1),X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1))). 31.61/6.37 cnf(i_0_1247, plain, (v1_binop_1(the_L_meet(X1),the_carrier(X1))|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1))). 31.61/6.37 cnf(i_0_1065, plain, (v1_binop_1(the_L_join(X1),the_carrier(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_commutative(X1))). 31.61/6.37 cnf(i_0_2106, plain, (v2_binop_1(the_L_meet(X1),the_carrier(X1))|empty_carrier(X1)|~meet_associative(X1)|~meet_semilatt_str(X1))). 31.61/6.37 cnf(i_0_384, lemma, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_596, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))). 31.61/6.37 cnf(i_0_1618, plain, (in(X1,powerset(X2))|~subset(X1,X2))). 31.61/6.37 cnf(i_0_3746, lemma, (in(esk397_2(X1,X2),X1)|element(X1,powerset(X2)))). 31.61/6.37 cnf(i_0_2505, plain, (v2_binop_1(the_L_join(X1),the_carrier(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_associative(X1))). 31.61/6.37 cnf(i_0_3840, lemma, (ordinal(esk425_2(X1,X2))|~ordinal(X1)|~in(X2,esk424_1(X1)))). 31.61/6.37 cnf(i_0_631, plain, (finite(relation_image(X1,X2))|~function(X1)|~relation(X1)|~finite(X2))). 31.61/6.37 cnf(i_0_1074, lemma, (relation_dom(esk147_1(X1))=X1|empty(X1)|in(esk148_1(X1),X1))). 31.61/6.37 cnf(i_0_178, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))). 31.61/6.37 cnf(i_0_79, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))). 31.61/6.37 cnf(i_0_1151, plain, (esk165_2(X1,X2)=X2|ordinal(esk162_0)|~in(X2,esk164_1(X1)))). 31.61/6.37 cnf(i_0_1143, plain, (esk165_2(X1,X2)=X2|ordinal(esk163_0)|~in(X2,esk164_1(X1)))). 31.61/6.37 cnf(i_0_2496, lemma, (connected(X1)|in(esk378_1(X1),relation_field(X1))|~relation(X1))). 31.61/6.37 cnf(i_0_2446, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))). 31.61/6.37 cnf(i_0_1333, lemma, (relation(esk203_2(X1,X2))|~equipotent(X1,relation_field(X2))|~well_ordering(X2)|~relation(X2))). 31.61/6.37 cnf(i_0_1167, plain, (relation(X1)|unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2))!=esk167_1(X1))). 31.61/6.37 cnf(i_0_1677, plain, (omega=X1|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1)|~subset(X1,esk251_1(X1)))). 31.61/6.37 cnf(i_0_958, lemma, (in(X1,X2)|~in(X1,X3)|~element(X3,powerset(X2)))). 31.61/6.37 cnf(i_0_1053, plain, (set_meet(X1)=meet_of_subsets(X2,X1)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2339, lemma, (in(powerset(X1),esk357_1(X2))|~in(X1,esk357_1(X2)))). 31.61/6.37 cnf(i_0_1336, plain, (empty_carrier(X1)|element(esk204_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))). 31.61/6.37 cnf(i_0_1641, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_orders(X1,X2)|~relation(X1))). 31.61/6.37 cnf(i_0_2497, lemma, (connected(X1)|in(esk379_1(X1),relation_field(X1))|~relation(X1))). 31.61/6.37 cnf(i_0_2455, plain, (X1=X2|~in(esk369_2(X1,X2),X2)|~in(esk369_2(X1,X2),X1))). 31.61/6.37 cnf(i_0_2547, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))). 31.61/6.37 cnf(i_0_953, lemma, (subset(relation_field(relation_restriction(X1,X2)),X2)|~relation(X1))). 31.61/6.37 cnf(i_0_1886, lemma, (finite(X1)|~finite(complements_of_subsets(the_carrier(X2),X1))|~one_sorted_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_2127, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_6, plain, (v5_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))). 31.61/6.37 cnf(i_0_1904, lemma, (reflexive(X1)|in(esk289_1(X1),relation_field(X1))|~relation(X1))). 31.61/6.37 cnf(i_0_5, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))). 31.61/6.37 cnf(i_0_393, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))). 31.61/6.37 cnf(i_0_392, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))). 31.61/6.37 cnf(i_0_774, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))). 31.61/6.37 cnf(i_0_4, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))). 31.61/6.37 cnf(i_0_771, plain, (well_founded_relation(X1)|subset(esk111_1(X1),relation_field(X1))|~relation(X1))). 31.61/6.37 cnf(i_0_775, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))). 31.61/6.37 cnf(i_0_769, plain, (well_founded_relation(X1)|~disjoint(fiber(X1,X2),esk111_1(X1))|~relation(X1)|~in(X2,esk111_1(X1)))). 31.61/6.37 cnf(i_0_1459, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(X1,relation_dom(relation_dom_restriction(X2,X3))))). 31.61/6.37 cnf(i_0_1051, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(X1,relation_field(relation_restriction(X2,X3))))). 31.61/6.37 cnf(i_0_3859, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(X1,relation_rng(relation_rng_restriction(X3,X2))))). 31.61/6.37 cnf(i_0_2115, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))). 31.61/6.37 cnf(i_0_3, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))). 31.61/6.37 cnf(i_0_197, lemma, (unordered_pair(esk30_1(X1),esk30_1(X1))=esk32_1(X1)|relation(esk33_1(X1)))). 31.61/6.37 cnf(i_0_776, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))). 31.61/6.37 cnf(i_0_3861, plain, (X1=X2|rel_str_of(X3,X1)!=rel_str_of(X4,X2)|~relation_of2(X1,X3,X3))). 31.61/6.37 cnf(i_0_3862, plain, (X1=X2|rel_str_of(X1,X3)!=rel_str_of(X2,X4)|~relation_of2(X3,X1,X1))). 31.61/6.37 cnf(i_0_1451, plain, (X1=empty_set|set_meet(X1)!=empty_set|~centered(X2)|~finite(X1)|~subset(X1,X2))). 31.61/6.37 cnf(i_0_1386, lemma, (in(esk212_1(X1),X1)|~ordinal(X2)|~in(X2,X1))). 31.61/6.37 cnf(i_0_2114, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))). 31.61/6.37 cnf(i_0_784, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X2))). 31.61/6.37 cnf(i_0_198, lemma, (unordered_pair(esk30_1(X1),esk30_1(X1))=esk32_1(X1)|function(esk33_1(X1)))). 31.61/6.37 cnf(i_0_3777, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v1_membered(X2))). 31.61/6.37 cnf(i_0_1674, plain, (subset(omega,X1)|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))). 31.61/6.37 cnf(i_0_2, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))). 31.61/6.37 cnf(i_0_777, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))). 31.61/6.37 cnf(i_0_2113, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))). 31.61/6.37 cnf(i_0_187, lemma, (unordered_pair(esk30_1(X1),esk30_1(X1))=esk31_1(X1)|relation(esk33_1(X1)))). 31.61/6.37 cnf(i_0_783, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X2))). 31.61/6.37 cnf(i_0_1456, plain, (finite(set_difference(X1,set_difference(X1,X2)))|~finite(X2))). 31.61/6.37 cnf(i_0_188, lemma, (unordered_pair(esk30_1(X1),esk30_1(X1))=esk31_1(X1)|function(esk33_1(X1)))). 31.61/6.37 cnf(i_0_1610, plain, (relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)|~relation_of2(X3,X1,X2))). 31.61/6.37 cnf(i_0_3820, plain, (relation_rng_as_subset(X1,X2,X3)=relation_rng(X3)|~relation_of2(X3,X1,X2))). 31.61/6.37 cnf(i_0_487, plain, (in(X1,the_topology(X2))|~open_subset(X1,X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_3863, lemma, (reflexive(X1)|~reflexive(X2)|~relation_isomorphism(X2,X1,X3)|~function(X3)|~relation(X3)|~relation(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_1659, plain, (epsilon_transitive(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))). 31.61/6.37 cnf(i_0_1657, plain, (epsilon_connected(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))). 31.61/6.37 cnf(i_0_1658, plain, (ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))). 31.61/6.37 cnf(i_0_2439, plain, (element(meet_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_1697, plain, (element(union_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_1361, plain, (ordinal_subset(X1,X2)|ordinal_subset(X2,X1)|~ordinal(X2)|~ordinal(X1))). 31.61/6.37 cnf(i_0_1695, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))). 31.61/6.37 cnf(i_0_3867, lemma, (transitive(X1)|~transitive(X2)|~relation_isomorphism(X2,X1,X3)|~function(X3)|~relation(X3)|~relation(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_3865, lemma, (antisymmetric(X1)|~antisymmetric(X2)|~relation_isomorphism(X2,X1,X3)|~function(X3)|~relation(X3)|~relation(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_1269, plain, (finite(relation_rng(X1))|~function(X1)|~relation(X1)|~in(relation_dom(X1),omega))). 31.61/6.37 cnf(i_0_2258, lemma, (relation_dom_restriction(relation_rng_restriction(X1,X2),X1)=relation_restriction(X2,X1)|~relation(X2))). 31.61/6.37 cnf(i_0_1627, plain, (relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.37 cnf(i_0_1628, plain, (v1_partfun1(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))|empty_carrier(X1)|~latt_str(X1)|~lattice(X1))). 31.61/6.37 cnf(i_0_2456, plain, (empty_carrier(X1)|element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1)))|~latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_486, plain, (open_subset(X1,X2)|~top_str(X2)|~in(X1,the_topology(X2))|~element(X1,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_1112, lemma, (closed_subsets(esk155_1(X1),X1)|compact_top_space(X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1))). 31.61/6.37 cnf(i_0_1403, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X1))=relation_restriction(X2,X1)|~relation(X2))). 31.61/6.37 cnf(i_0_490, lemma, (in(X1,X2)|~ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~ordinal(X1))). 31.61/6.37 cnf(i_0_1721, lemma, (relation(esk262_1(X1))|esk261_1(X1)!=esk260_1(X1))). 31.61/6.37 cnf(i_0_1718, lemma, (function(esk262_1(X1))|esk261_1(X1)!=esk260_1(X1))). 31.61/6.37 cnf(i_0_1668, lemma, (X1=unordered_pair(X2,X2)|X1=empty_set|~subset(X1,unordered_pair(X2,X2)))). 31.61/6.37 cnf(i_0_1686, lemma, (topstr_closure(X1,X2)=X2|~closed_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_3778, lemma, (subset(X1,topstr_closure(X2,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_1662, plain, (function(relation_composition(X1,X2))|~function(X2)|~function(X1)|~relation(X2)|~relation(X1))). 31.61/6.37 cnf(i_0_1, lemma, (subset(set_union2(X1,X2),X3)|~subset(X1,X3)|~subset(X2,X3))). 31.61/6.37 cnf(i_0_1750, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X1,X3)|~in(X2,X3))). 31.61/6.37 cnf(i_0_3860, lemma, (subset(interior(X1,X2),X2)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1816, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_97, plain, (compact_top_space(X1)|element(esk14_1(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1))). 31.61/6.37 cnf(i_0_1680, plain, (omega=X1|ordinal(esk251_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))). 31.61/6.37 cnf(i_0_2430, lemma, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1))). 31.61/6.37 cnf(i_0_404, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(relation_rng(X1),X3))). 31.61/6.37 cnf(i_0_84, 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))). 31.61/6.37 cnf(i_0_1838, lemma, (relation(esk277_3(X1,X2,X3))|~function(X3)|~relation(X3)|~relation(X2))). 31.61/6.37 cnf(i_0_1709, lemma, (subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))|~relation(X2))). 31.61/6.37 cnf(i_0_1678, plain, (omega=X1|being_limit_ordinal(esk251_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))). 31.61/6.37 cnf(i_0_1137, plain, (in(esk165_2(X1,X2),X1)|esk163_0!=esk162_0|~in(X2,esk164_1(X1)))). 31.61/6.37 cnf(i_0_634, plain, (element(topstr_closure(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_518, plain, (element(interior(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_952, lemma, (subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))|~relation(X1))). 31.61/6.37 cnf(i_0_630, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(X4,X3))). 31.61/6.37 cnf(i_0_1687, lemma, (closed_subset(X1,X2)|topstr_closure(X2,X1)!=X1|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_1088, lemma, (esk151_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk150_2(X1,X2)))). 31.61/6.37 cnf(i_0_1465, plain, (esk239_2(X1,X2)=X2|esk231_1(X1)!=esk230_1(X1)|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_2552, lemma, (subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))|~relation(X1))). 31.61/6.37 cnf(i_0_1242, lemma, (empty_set=X1|ordinal(esk182_2(X1,X2))|~ordinal(X2)|~subset(X1,X2))). 31.61/6.37 cnf(i_0_2344, 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)))))). 31.61/6.37 cnf(i_0_2434, lemma, (open_subset(X1,X2)|~closed_subset(subset_complement(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_1368, lemma, (closed_subset(X1,X2)|~open_subset(subset_complement(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_2482, plain, (one_to_one(X1)|in(esk376_1(X1),relation_dom(X1))|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_512, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))|~relation(X2))). 31.61/6.37 cnf(i_0_673, lemma, (relation(esk101_2(X1,X2))|empty(X1)|esk98_2(X1,X2)!=esk97_2(X1,X2)|~relation(X2))). 31.61/6.37 cnf(i_0_672, lemma, (function(esk101_2(X1,X2))|empty(X1)|esk98_2(X1,X2)!=esk97_2(X1,X2)|~relation(X2))). 31.61/6.37 cnf(i_0_1713, plain, (in(X1,esk257_2(X2,X3))|~in(X3,esk256_1(X2))|~subset(X1,X3))). 31.61/6.37 cnf(i_0_111, plain, (is_transitive_in(X1,X2)|in(esk16_2(X1,X2),X2)|~relation(X1))). 31.61/6.37 cnf(i_0_1714, plain, (in(esk257_2(X1,X2),esk256_1(X1))|~in(X2,esk256_1(X1)))). 31.61/6.37 cnf(i_0_609, plain, (empty_carrier(X1)|element(esk83_2(X2,X1),the_carrier(X1))|~latt_str(X1)|~lattice(X1)|~in(X2,a_1_0_filter_1(X1)))). 31.61/6.37 cnf(i_0_606, plain, (empty_carrier(X1)|element(esk84_2(X2,X1),the_carrier(X1))|~latt_str(X1)|~lattice(X1)|~in(X2,a_1_0_filter_1(X1)))). 31.61/6.37 cnf(i_0_1887, lemma, (finite(complements_of_subsets(the_carrier(X1),X2))|~finite(X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2483, plain, (one_to_one(X1)|in(esk377_1(X1),relation_dom(X1))|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_112, plain, (is_transitive_in(X1,X2)|in(esk17_2(X1,X2),X2)|~relation(X1))). 31.61/6.37 cnf(i_0_1617, plain, (X1=powerset(X2)|~in(esk245_2(X2,X1),X1)|~subset(esk245_2(X2,X1),X2))). 31.61/6.37 cnf(i_0_1132, plain, (open_subsets(X1,X2)|~open_subset(esk160_2(X2,X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_1649, plain, (closed_subsets(X1,X2)|~closed_subset(esk250_2(X2,X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_1087, lemma, (ordinal(esk151_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk150_2(X1,X2)))). 31.61/6.37 cnf(i_0_113, plain, (is_transitive_in(X1,X2)|in(esk18_2(X1,X2),X2)|~relation(X1))). 31.61/6.37 cnf(i_0_3816, plain, (relation(set_difference(X1,set_difference(X1,X2)))|~relation(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_1360, lemma, (X1=X2|in(X1,X2)|in(X2,X1)|~ordinal(X2)|~ordinal(X1))). 31.61/6.37 cnf(i_0_1688, plain, (is_connected_in(X1,X2)|in(esk252_2(X1,X2),X2)|~relation(X1))). 31.61/6.37 cnf(i_0_2337, plain, (unordered_pair(X1,X2)=X3|esk356_3(X1,X2,X3)!=X2|~in(esk356_3(X1,X2,X3),X3))). 31.61/6.37 cnf(i_0_2336, plain, (unordered_pair(X1,X2)=X3|esk356_3(X1,X2,X3)!=X1|~in(esk356_3(X1,X2,X3),X3))). 31.61/6.37 cnf(i_0_1417, lemma, (in(esk219_3(X1,X2,X3),X1)|~in(X3,esk218_2(X1,X2)))). 31.61/6.37 cnf(i_0_1689, plain, (is_connected_in(X1,X2)|in(esk253_2(X1,X2),X2)|~relation(X1))). 31.61/6.37 cnf(i_0_1326, plain, (natural(set_union2(X1,unordered_pair(X1,X1)))|~natural(X1)|~ordinal(X1))). 31.61/6.37 cnf(i_0_1720, lemma, (relation_dom(esk262_1(X1))=X1|esk261_1(X1)!=esk260_1(X1))). 31.61/6.37 cnf(i_0_1391, plain, (element(relation_dom_as_subset(X1,X2,X3),powerset(X1))|~relation_of2(X3,X1,X2))). 31.61/6.37 cnf(i_0_1113, lemma, (meet_of_subsets(the_carrier(X1),esk155_1(X1))=empty_set|compact_top_space(X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1))). 31.61/6.37 cnf(i_0_1922, plain, (is_reflexive_in(X1,X2)|in(esk295_2(X1,X2),X2)|~relation(X1))). 31.61/6.37 cnf(i_0_2345, lemma, (being_limit_ordinal(X1)|~ordinal(X1)|~in(set_union2(esk358_1(X1),unordered_pair(esk358_1(X1),esk358_1(X1))),X1))). 31.61/6.37 cnf(i_0_1435, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))). 31.61/6.37 cnf(i_0_1434, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))). 31.61/6.37 cnf(i_0_372, plain, (is_antisymmetric_in(X1,X2)|in(esk56_2(X1,X2),X2)|~relation(X1))). 31.61/6.37 cnf(i_0_2479, plain, (element(relation_rng_as_subset(X1,X2,X3),powerset(X2))|~relation_of2(X3,X1,X2))). 31.61/6.37 cnf(i_0_1153, plain, (esk161_0=esk162_0|in(esk165_2(X1,X2),X1)|~in(X2,esk164_1(X1)))). 31.61/6.37 cnf(i_0_1145, plain, (esk161_0=esk163_0|in(esk165_2(X1,X2),X1)|~in(X2,esk164_1(X1)))). 31.61/6.37 cnf(i_0_2125, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_2332, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X2,X3)))). 31.61/6.37 cnf(i_0_2359, plain, (in(X1,union(X2))|~in(X1,X3)|~in(X3,X2))). 31.61/6.37 cnf(i_0_373, plain, (is_antisymmetric_in(X1,X2)|in(esk57_2(X1,X2),X2)|~relation(X1))). 31.61/6.37 cnf(i_0_2512, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))). 31.61/6.37 cnf(i_0_1605, plain, (is_well_founded_in(X1,X2)|subset(esk244_2(X1,X2),X2)|~relation(X1))). 31.61/6.37 cnf(i_0_1758, plain, (lattice(X1)|empty_carrier(X1)|~latt_str(X1)|~join_associative(X1)|~meet_associative(X1)|~join_absorbing(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~join_commutative(X1))). 31.61/6.37 cnf(i_0_88, plain, (X1=empty_set|empty_set=X2|~quasi_total(X1,X2,empty_set)|~relation_of2_as_subset(X1,X2,empty_set))). 31.61/6.37 cnf(i_0_1381, lemma, (unordered_pair(X1,X1)=apply(esk210_1(X2),X1)|~in(X1,X2))). 31.61/6.37 cnf(i_0_2008, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~in(X2,esk308_2(X3,X1))|~element(X1,powerset(the_carrier(X3))))). 31.61/6.37 cnf(i_0_1715, plain, (in(X1,esk256_1(X2))|~in(X3,esk256_1(X2))|~subset(X1,X3))). 31.61/6.37 cnf(i_0_1353, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))). 31.61/6.37 cnf(i_0_2283, lemma, (subset_intersection2(the_carrier(X1),X2,cast_as_carrier_subset(X1))=X2|~one_sorted_str(X1)|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_605, plain, (subset_union2(X1,X2,X2)=X2|~element(X2,powerset(X1))|~element(X3,powerset(X1)))). 31.61/6.37 cnf(i_0_3784, plain, (subset_intersection2(X1,X2,X2)=X2|~element(X2,powerset(X1))|~element(X3,powerset(X1)))). 31.61/6.37 cnf(i_0_1917, plain, (latt_str_of(the_carrier(X1),the_L_join(X1),the_L_meet(X1))=X1|~strict_latt_str(X1)|~latt_str(X1))). 31.61/6.37 cnf(i_0_1354, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))). 31.61/6.37 cnf(i_0_2341, lemma, (in(X1,esk357_1(X2))|~in(X3,esk357_1(X2))|~subset(X1,X3))). 31.61/6.37 cnf(i_0_1183, plain, (esk179_3(X1,X2,X3)=X3|esk173_1(X1)!=esk172_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_492, lemma, (subset(relation_dom(X1),relation_dom(X2))|~relation(X2)|~relation(X1)|~subset(X1,X2))). 31.61/6.37 cnf(i_0_491, lemma, (subset(relation_rng(X1),relation_rng(X2))|~relation(X2)|~relation(X1)|~subset(X1,X2))). 31.61/6.37 cnf(i_0_1669, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))). 31.61/6.37 cnf(i_0_1149, plain, (ordinal(esk162_0)|in(esk165_2(X1,X2),X1)|~in(X2,esk164_1(X1)))). 31.61/6.37 cnf(i_0_1141, plain, (ordinal(esk163_0)|in(esk165_2(X1,X2),X1)|~in(X2,esk164_1(X1)))). 31.61/6.37 cnf(i_0_786, plain, (relation_of2_as_subset(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))). 31.61/6.37 cnf(i_0_1286, plain, (relation_of2_as_subset(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))). 31.61/6.37 cnf(i_0_1623, lemma, (relation_rng(relation_composition(X1,X2))=relation_image(X2,relation_rng(X1))|~relation(X2)|~relation(X1))). 31.61/6.37 cnf(i_0_1332, lemma, (well_orders(esk203_2(X1,X2),X1)|~equipotent(X1,relation_field(X2))|~well_ordering(X2)|~relation(X2))). 31.61/6.37 cnf(i_0_3866, lemma, (connected(X1)|~relation_isomorphism(X2,X1,X3)|~connected(X2)|~function(X3)|~relation(X3)|~relation(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_1079, lemma, (well_ordering(X1)|~well_ordering(X2)|~relation_isomorphism(X2,X1,X3)|~function(X3)|~relation(X3)|~relation(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_3864, lemma, (well_founded_relation(X1)|~well_founded_relation(X2)|~relation_isomorphism(X2,X1,X3)|~function(X3)|~relation(X3)|~relation(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_2530, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X3))=relation_dom_restriction(relation_rng_restriction(X1,X2),X3)|~relation(X2))). 31.61/6.37 cnf(i_0_787, plain, (quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))). 31.61/6.37 cnf(i_0_1285, plain, (quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))). 31.61/6.37 cnf(i_0_2139, 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)))))). 31.61/6.37 cnf(i_0_1236, lemma, (closed_subsets(X1,X2)|~top_str(X2)|~open_subsets(complements_of_subsets(the_carrier(X2),X1),X2)|~element(X1,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_588, plain, (relation_field(X1)=relation_dom(X2)|~relation_isomorphism(X1,X3,X2)|~function(X2)|~relation(X3)|~relation(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_587, plain, (relation_rng(X1)=relation_field(X2)|~relation_isomorphism(X3,X2,X1)|~function(X1)|~relation(X3)|~relation(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_1606, plain, (is_well_founded_in(X1,X2)|~disjoint(fiber(X1,X3),esk244_2(X1,X2))|~relation(X1)|~in(X3,esk244_2(X1,X2)))). 31.61/6.37 cnf(i_0_1712, plain, (are_equipotent(X1,esk256_1(X2))|in(X1,esk256_1(X2))|~subset(X1,esk256_1(X2)))). 31.61/6.37 cnf(i_0_1694, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_ordering(X1)|~relation(X1)|~subset(X2,relation_field(X1)))). 31.61/6.37 cnf(i_0_1163, lemma, (subset(X1,X2)|~below(boole_lattice(X3),X1,X2)|~element(X2,powerset(X3))|~element(X1,powerset(X3)))). 31.61/6.37 cnf(i_0_119, plain, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|element(esk20_2(X1,X2),the_carrier(X1))|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_644, plain, (open_subset(interior(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_3854, plain, (X1=empty_set|in(X2,set_meet(X1))|~in(X2,esk429_3(X1,set_meet(X1),X2)))). 31.61/6.37 cnf(i_0_2340, lemma, (are_equipotent(X1,esk357_1(X2))|in(X1,esk357_1(X2))|~subset(X1,esk357_1(X2)))). 31.61/6.37 cnf(i_0_1467, plain, (esk240_2(X1,X2)=X2|esk231_1(X1)!=esk230_1(X1)|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_2109, plain, (relstr_element_smaller(X1,X2,X3)|~related(X1,X3,esk321_3(X1,X2,X3))|~rel_str(X1)|~element(X3,the_carrier(X1)))). 31.61/6.37 cnf(i_0_86, plain, (empty_set=X1|quasi_total(X2,X3,X1)|relation_dom_as_subset(X3,X1,X2)!=X3|~relation_of2_as_subset(X2,X3,X1))). 31.61/6.37 cnf(i_0_1596, plain, (well_orders(X1,X2)|~is_well_founded_in(X1,X2)|~is_antisymmetric_in(X1,X2)|~is_reflexive_in(X1,X2)|~is_connected_in(X1,X2)|~is_transitive_in(X1,X2)|~relation(X1))). 31.61/6.37 cnf(i_0_1585, plain, (esk229_1(X1)=esk230_1(X1)|esk239_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_2076, plain, (closed_subset(topstr_closure(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1561, plain, (esk239_2(X1,X2)=X2|ordinal(esk232_1(X1))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1477, plain, (esk239_2(X1,X2)=X2|ordinal(esk234_1(X1))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_2468, plain, (apply(X1,X2)=empty_set|in(X2,relation_dom(X1))|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_89, plain, (empty_set=X1|quasi_total(empty_set,X1,empty_set)|~relation_of2_as_subset(empty_set,X1,empty_set))). 31.61/6.37 cnf(i_0_2357, plain, (in(X1,esk361_3(X2,union(X2),X1))|~in(X1,union(X2)))). 31.61/6.37 cnf(i_0_1424, 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))|~latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_632, 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)))). 31.61/6.37 cnf(i_0_1679, plain, (omega=X1|in(empty_set,esk251_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))). 31.61/6.37 cnf(i_0_2343, 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)))))). 31.61/6.37 cnf(i_0_2358, plain, (in(esk361_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))). 31.61/6.37 cnf(i_0_1573, plain, (esk229_1(X1)=esk231_1(X1)|esk239_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_95, plain, (compact_top_space(X1)|~top_str(X1)|~finite(X2)|~is_a_cover_of_carrier(X1,X2)|~element(X2,powerset(powerset(the_carrier(X1))))|~subset(X2,esk14_1(X1)))). 31.61/6.37 cnf(i_0_1047, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))). 31.61/6.37 cnf(i_0_2526, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))). 31.61/6.37 cnf(i_0_2527, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))). 31.61/6.37 cnf(i_0_1549, plain, (esk231_1(X1)=esk232_1(X1)|esk239_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1489, plain, (esk230_1(X1)=esk234_1(X1)|esk239_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1241, lemma, (empty_set=X1|in(esk182_2(X1,X2),X1)|~ordinal(X2)|~subset(X1,X2))). 31.61/6.37 cnf(i_0_1733, lemma, (relation(esk262_1(X1))|in(esk259_1(X1),X1))). 31.61/6.37 cnf(i_0_3847, lemma, (subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1))|~relation(X2)|~relation(X1))). 31.61/6.37 cnf(i_0_1046, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))). 31.61/6.37 cnf(i_0_1466, plain, (ordinal(esk240_2(X1,X2))|esk231_1(X1)!=esk230_1(X1)|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_3813, plain, (X1=unordered_pair(X2,X2)|esk415_2(X2,X1)!=X2|~in(esk415_2(X2,X1),X1))). 31.61/6.37 cnf(i_0_1829, lemma, (in(X1,cartesian_product2(X2,X2))|~relation(X3)|~in(X1,relation_restriction(X3,X2)))). 31.61/6.37 cnf(i_0_2539, lemma, (subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))|~relation(X2)|~relation(X1))). 31.61/6.37 cnf(i_0_1730, lemma, (function(esk262_1(X1))|in(esk259_1(X1),X1))). 31.61/6.37 cnf(i_0_380, plain, (subset_union2(X1,X2,X3)=set_union2(X2,X3)|~element(X2,powerset(X1))|~element(X3,powerset(X1)))). 31.61/6.37 cnf(i_0_514, plain, (subset_difference(X1,X2,X3)=set_difference(X2,X3)|~element(X2,powerset(X1))|~element(X3,powerset(X1)))). 31.61/6.37 cnf(i_0_2075, lemma, (subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_246, lemma, (disjoint(X1,X2)|~element(X2,powerset(X3))|~element(X1,powerset(X3))|~subset(X1,subset_complement(X3,X2)))). 31.61/6.37 cnf(i_0_130, lemma, (relation(esk24_2(X1,X2))|esk22_2(X1,X2)!=esk23_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_992, lemma, (relation(esk137_2(X1,X2))|esk135_2(X1,X2)!=esk136_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_123, lemma, (function(esk24_2(X1,X2))|esk22_2(X1,X2)!=esk23_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_556, plain, (set_difference(X1,set_difference(X1,cartesian_product2(X2,X2)))=relation_restriction(X1,X2)|~relation(X1))). 31.61/6.37 cnf(i_0_1562, plain, (ordinal(esk240_2(X1,X2))|ordinal(esk232_1(X1))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1478, plain, (ordinal(esk240_2(X1,X2))|ordinal(esk234_1(X1))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1369, lemma, (open_subset(subset_complement(the_carrier(X1),X2),X1)|~closed_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_2435, lemma, (closed_subset(subset_complement(the_carrier(X1),X2),X1)|~open_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_979, plain, (equipotent(relation_dom(X1),relation_rng(X1))|~one_to_one(X1)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_1089, lemma, (in(esk151_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk150_2(X1,X2)))). 31.61/6.37 cnf(i_0_1282, lemma, (in(esk188_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))). 31.61/6.37 cnf(i_0_1397, lemma, (in(esk214_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_image(X3,X2)))). 31.61/6.37 cnf(i_0_85, plain, (relation_dom_as_subset(empty_set,X1,X2)=empty_set|~quasi_total(X2,empty_set,X1)|~relation_of2_as_subset(X2,empty_set,X1))). 31.61/6.37 cnf(i_0_1821, plain, (v1_partfun1(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1))). 31.61/6.37 cnf(i_0_1018, plain, (empty_carrier(X1)|element(meet(X1,X2,X3),the_carrier(X1))|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1)))). 31.61/6.37 cnf(i_0_2471, 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)))). 31.61/6.37 cnf(i_0_1156, plain, (esk161_0=esk162_0|in(X1,esk164_1(X2))|~ordinal(X1)|~in(X1,X2))). 31.61/6.37 cnf(i_0_1027, plain, (in(esk143_2(X1,X2),X1)|esk141_1(X1)!=esk140_1(X1)|~in(X2,esk142_1(X1)))). 31.61/6.37 cnf(i_0_1140, plain, (in(X1,esk164_1(X2))|esk163_0!=esk162_0|~ordinal(X1)|~in(X1,X2))). 31.61/6.37 cnf(i_0_1387, lemma, (ordinal_subset(esk212_1(X1),X2)|~ordinal(X3)|~ordinal(X2)|~in(X3,X1)|~in(X2,X1))). 31.61/6.37 cnf(i_0_1312, plain, (element(subset_difference(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))). 31.61/6.37 cnf(i_0_3796, plain, (element(subset_union2(X1,X2,X3),powerset(X1))|~element(X2,powerset(X1))|~element(X3,powerset(X1)))). 31.61/6.37 cnf(i_0_2285, plain, (element(subset_intersection2(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))). 31.61/6.37 cnf(i_0_985, lemma, (function(esk137_2(X1,X2))|esk135_2(X1,X2)!=esk136_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2460, plain, (inclusion_relation(relation_field(X1))=X1|in(esk370_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))). 31.61/6.37 cnf(i_0_2362, plain, (X1=union(X2)|~in(esk359_2(X2,X1),X1)|~in(esk359_2(X2,X1),X3)|~in(X3,X2))). 31.61/6.37 cnf(i_0_3827, lemma, (empty(X1)|in(X2,cartesian_product2(X1,X3))|~relation(X4)|~in(X2,esk419_3(X1,X4,X3)))). 31.61/6.37 cnf(i_0_185, lemma, (in(X1,X2)|esk31_1(X2)!=esk32_1(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk33_1(X2)))). 31.61/6.37 cnf(i_0_3949, lemma, (subset(fiber(relation_restriction(X1,X2),X3),fiber(X1,X3))|~relation(X1))). 31.61/6.37 cnf(i_0_1842, plain, (latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|~below(X1,X2,esk278_3(X1,X2,X3))|~latt_str(X1)|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1732, lemma, (relation_dom(esk262_1(X1))=X1|in(esk259_1(X1),X1))). 31.61/6.37 cnf(i_0_1276, lemma, (X1=empty_set|in(esk187_2(X2,X1),X1)|~finite(X2)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2461, plain, (inclusion_relation(relation_field(X1))=X1|in(esk371_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))). 31.61/6.37 cnf(i_0_729, lemma, (esk99_2(X1,X2)=esk96_2(X1,X2)|relation(esk101_2(X1,X2))|empty(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_728, lemma, (esk99_2(X1,X2)=esk96_2(X1,X2)|function(esk101_2(X1,X2))|empty(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_3817, plain, (X1=X2|esk416_2(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2)!=X2)). 31.61/6.37 cnf(i_0_1400, plain, (X1=X2|esk216_2(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2)!=X2)). 31.61/6.37 cnf(i_0_757, plain, (X1=X2|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),identity_relation(X3)))). 31.61/6.37 cnf(i_0_801, lemma, (identity_relation(relation_dom(X1))=X1|apply(X1,esk116_2(relation_dom(X1),X1))!=esk116_2(relation_dom(X1),X1)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_681, lemma, (esk100_2(X1,X2)=esk96_2(X1,X2)|relation(esk101_2(X1,X2))|empty(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_2447, 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))))). 31.61/6.37 cnf(i_0_2432, lemma, (in(X1,relation_dom(X2))|~function(X3)|~function(X2)|~relation(X3)|~relation(X2)|~in(X1,relation_dom(relation_composition(X2,X3))))). 31.61/6.37 cnf(i_0_245, plain, (X1=unordered_triple(X2,X3,X4)|esk37_4(X2,X3,X4,X1)!=X3|~in(esk37_4(X2,X3,X4,X1),X1))). 31.61/6.37 cnf(i_0_244, plain, (X1=unordered_triple(X2,X3,X4)|esk37_4(X2,X3,X4,X1)!=X4|~in(esk37_4(X2,X3,X4,X1),X1))). 31.61/6.37 cnf(i_0_680, lemma, (esk100_2(X1,X2)=esk96_2(X1,X2)|function(esk101_2(X1,X2))|empty(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_1763, plain, (related_reflexive(X1,X2,X2)|empty_carrier(X1)|~rel_str(X1)|~reflexive_relstr(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1115, lemma, (compact_top_space(X1)|empty_carrier(X1)|element(esk155_1(X1),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1))). 31.61/6.37 cnf(i_0_2111, plain, (relstr_element_smaller(X1,X2,X3)|element(esk321_3(X1,X2,X3),the_carrier(X1))|~rel_str(X1)|~element(X3,the_carrier(X1)))). 31.61/6.37 cnf(i_0_2442, lemma, (relation_image(X1,relation_inverse_image(X1,X2))=X2|~function(X1)|~relation(X1)|~subset(X2,relation_rng(X1)))). 31.61/6.37 cnf(i_0_1148, plain, (esk161_0=esk163_0|in(X1,esk164_1(X2))|~ordinal(X1)|~in(X1,X2))). 31.61/6.37 cnf(i_0_243, plain, (X1=unordered_triple(X2,X3,X4)|esk37_4(X2,X3,X4,X1)!=X2|~in(esk37_4(X2,X3,X4,X1),X1))). 31.61/6.37 cnf(i_0_1436, lemma, (subset(relation_inverse_image(X1,X2),relation_inverse_image(X1,X3))|~relation(X1)|~subset(X2,X3))). 31.61/6.37 cnf(i_0_391, plain, (set_union2(X1,X2)=X3|~in(esk60_3(X1,X2,X3),X3)|~in(esk60_3(X1,X2,X3),X2))). 31.61/6.37 cnf(i_0_1030, plain, (in(esk143_2(X1,X2),X1)|in(esk139_1(X1),X1)|~in(X2,esk142_1(X1)))). 31.61/6.37 cnf(i_0_1164, lemma, (below(boole_lattice(X1),X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1))|~subset(X2,X3))). 31.61/6.37 cnf(i_0_1237, 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)))))). 31.61/6.37 cnf(i_0_2138, lemma, (closed_subsets(complements_of_subsets(the_carrier(X1),X2),X1)|~top_str(X1)|~open_subsets(X2,X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2506, lemma, (relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~relation(X2)|~relation(X1)|~subset(relation_rng(X1),relation_dom(X2)))). 31.61/6.37 cnf(i_0_1152, plain, (ordinal(esk162_0)|in(X1,esk164_1(X2))|~ordinal(X1)|~in(X1,X2))). 31.61/6.37 cnf(i_0_390, plain, (set_union2(X1,X2)=X3|~in(esk60_3(X1,X2,X3),X3)|~in(esk60_3(X1,X2,X3),X1))). 31.61/6.37 cnf(i_0_3871, plain, (esk438_3(X1,X2,X3)=X3|esk434_2(X1,X2)!=esk433_2(X1,X2)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_558, lemma, (apply(X1,X2)=X3|~function(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1))). 31.61/6.37 cnf(i_0_2514, lemma, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(identity_relation(X2),X3)))). 31.61/6.37 cnf(i_0_551, lemma, (relation_rng(relation_composition(X1,X2))=relation_rng(X2)|~relation(X1)|~relation(X2)|~subset(relation_dom(X2),relation_rng(X1)))). 31.61/6.37 cnf(i_0_2005, lemma, (in(X1,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~in(X1,esk308_2(X2,X3))|~element(X3,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_1563, plain, (esk240_2(X1,X2)=X2|ordinal(esk232_1(X1))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1479, plain, (esk240_2(X1,X2)=X2|ordinal(esk234_1(X1))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1144, plain, (ordinal(esk163_0)|in(X1,esk164_1(X2))|~ordinal(X1)|~in(X1,X2))). 31.61/6.37 cnf(i_0_1045, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)))). 31.61/6.37 cnf(i_0_1044, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))). 31.61/6.37 cnf(i_0_1847, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))). 31.61/6.37 cnf(i_0_3926, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))). 31.61/6.37 cnf(i_0_369, lemma, (set_difference(relation_rng(X1),set_difference(relation_rng(X1),X2))=relation_rng(relation_rng_restriction(X2,X1))|~relation(X1))). 31.61/6.37 cnf(i_0_1423, 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)|~latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1258, 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)))). 31.61/6.37 cnf(i_0_541, 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))))). 31.61/6.37 cnf(i_0_1162, lemma, (element(esk166_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_2484, plain, (apply(X1,esk377_1(X1))=apply(X1,esk376_1(X1))|one_to_one(X1)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_2494, lemma, (set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2))=relation_dom(relation_dom_restriction(X1,X2))|~relation(X1))). 31.61/6.37 cnf(i_0_181, lemma, (relation_isomorphism(X1,X2,function_inverse(X3))|~relation_isomorphism(X2,X1,X3)|~function(X3)|~relation(X3)|~relation(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_2510, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X2)|~in(X1,X3))). 31.61/6.37 cnf(i_0_87, plain, (relation_dom_as_subset(X1,X2,X3)=X1|empty_set=X2|~quasi_total(X3,X1,X2)|~relation_of2_as_subset(X3,X1,X2))). 31.61/6.37 cnf(i_0_705, lemma, (relation(esk101_2(X1,X2))|empty(X1)|in(esk96_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_3931, lemma, (element(esk443_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1844, plain, (latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|element(esk278_3(X1,X2,X3),the_carrier(X1))|~latt_str(X1)|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_516, plain, (point_neighbourhood(esk74_2(X1,X2),X1,X2)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1587, plain, (esk229_1(X1)=esk230_1(X1)|esk240_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1311, lemma, (subset(X1,relation_inverse_image(X2,relation_image(X2,X1)))|~relation(X2)|~subset(X1,relation_dom(X2)))). 31.61/6.37 cnf(i_0_3839, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk424_1(X2)))). 31.61/6.37 cnf(i_0_1575, plain, (esk229_1(X1)=esk231_1(X1)|esk240_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1551, plain, (esk231_1(X1)=esk232_1(X1)|esk240_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1491, plain, (esk230_1(X1)=esk234_1(X1)|esk240_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1307, plain, (in(esk194_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))). 31.61/6.37 cnf(i_0_1827, lemma, (in(X1,relation_restriction(X2,X3))|~relation(X2)|~in(X1,cartesian_product2(X3,X3))|~in(X1,X2))). 31.61/6.37 cnf(i_0_2472, lemma, (in(X1,cartesian_product2(X2,X3))|~one_sorted_str(X4)|~in(X1,esk372_3(X4,X2,X3))|~element(X2,powerset(powerset(the_carrier(X4)))))). 31.61/6.37 cnf(i_0_2499, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk378_1(X1),esk378_1(X1)),unordered_pair(esk378_1(X1),esk379_1(X1))),X1))). 31.61/6.37 cnf(i_0_2500, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk378_1(X1),esk379_1(X1)),unordered_pair(esk379_1(X1),esk379_1(X1))),X1))). 31.61/6.37 cnf(i_0_83, plain, (X1=bottom_of_semilattstr(X2)|empty_carrier(X2)|element(esk13_2(X2,X1),the_carrier(X2))|~lower_bounded_semilattstr(X2)|~meet_semilatt_str(X2)|~element(X1,the_carrier(X2)))). 31.61/6.37 cnf(i_0_1082, lemma, (in(X1,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~in(X1,esk149_2(X2,X3))|~element(X3,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_543, plain, (empty_carrier(X1)|element(join_commut(X1,X2,X3),the_carrier(X1))|~join_semilatt_str(X1)|~join_commutative(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1308, plain, (in(esk195_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))). 31.61/6.37 cnf(i_0_1903, lemma, (reflexive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk289_1(X1),esk289_1(X1)),unordered_pair(esk289_1(X1),esk289_1(X1))),X1))). 31.61/6.37 cnf(i_0_527, lemma, (transitive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk75_1(X1),esk75_1(X1)),unordered_pair(esk75_1(X1),esk77_1(X1))),X1))). 31.61/6.37 cnf(i_0_575, plain, (in(X1,relation_dom(X2))|~function(X2)|~relation(X2)|~in(X1,relation_inverse_image(X2,X3)))). 31.61/6.37 cnf(i_0_2126, plain, (empty_carrier(X1)|element(meet_commut(X1,X2,X3),the_carrier(X1))|~meet_commutative(X1)|~meet_semilatt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_357, lemma, (join(boole_lattice(X1),X2,X3)=set_union2(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))). 31.61/6.37 cnf(i_0_247, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))). 31.61/6.37 cnf(i_0_1133, plain, (open_subsets(X1,X2)|in(esk160_2(X2,X1),X1)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_1231, plain, (esk179_3(X1,X2,X3)=X3|esk171_1(X1)=esk172_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_211, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~function(X1)|~relation(X1)|~in(X3,relation_dom(relation_dom_restriction(X1,X2))))). 31.61/6.37 cnf(i_0_1457, lemma, (in(X1,relation_dom(relation_dom_restriction(X2,X3)))|~relation(X2)|~in(X1,relation_dom(X2))|~in(X1,X3))). 31.61/6.37 cnf(i_0_3857, lemma, (in(X1,relation_rng(relation_rng_restriction(X2,X3)))|~relation(X3)|~in(X1,relation_rng(X3))|~in(X1,X2))). 31.61/6.37 cnf(i_0_3851, plain, (set_meet(X1)=X2|X1=empty_set|~in(esk430_2(X1,X2),esk431_2(X1,X2))|~in(esk430_2(X1,X2),X2))). 31.61/6.37 cnf(i_0_1207, plain, (esk179_3(X1,X2,X3)=X3|esk171_1(X1)=esk173_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_1650, plain, (closed_subsets(X1,X2)|in(esk250_2(X2,X1),X1)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_120, plain, (meet(X1,X2,esk19_1(X1))=esk19_1(X1)|empty_carrier(X1)|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_121, plain, (meet(X1,esk19_1(X1),X2)=esk19_1(X1)|empty_carrier(X1)|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1341, plain, (X1=boole_lattice(X2)|element(esk205_2(X2,X1),powerset(X2))|powerset(X2)!=the_carrier(X1)|~strict_latt_str(X1)|~latt_str(X1))). 31.61/6.37 cnf(i_0_3937, lemma, (disjoint(X1,X2)|in(esk445_2(X1,X2),set_difference(X1,set_difference(X1,X2))))). 31.61/6.37 cnf(i_0_1185, plain, (in(esk180_3(X1,X2,X3),X1)|esk173_1(X1)!=esk172_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_537, plain, (antisymmetric_relstr(rel_str_of(X1,X2))|~antisymmetric(X2)|~v1_partfun1(X2,X1,X1)|~relation_of2(X2,X1,X1)|~transitive(X2)|~reflexive(X2))). 31.61/6.37 cnf(i_0_536, plain, (transitive_relstr(rel_str_of(X1,X2))|~antisymmetric(X2)|~v1_partfun1(X2,X1,X1)|~relation_of2(X2,X1,X1)|~transitive(X2)|~reflexive(X2))). 31.61/6.37 cnf(i_0_538, plain, (reflexive_relstr(rel_str_of(X1,X2))|~antisymmetric(X2)|~v1_partfun1(X2,X1,X1)|~relation_of2(X2,X1,X1)|~transitive(X2)|~reflexive(X2))). 31.61/6.37 cnf(i_0_3812, plain, (esk415_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk415_2(X1,X2),X2))). 31.61/6.37 cnf(i_0_1340, plain, (X1=boole_lattice(X2)|element(esk206_2(X2,X1),powerset(X2))|powerset(X2)!=the_carrier(X1)|~strict_latt_str(X1)|~latt_str(X1))). 31.61/6.37 cnf(i_0_642, lemma, (set_union2(esk90_1(X1),unordered_pair(esk90_1(X1),esk90_1(X1)))=X1|being_limit_ordinal(X1)|~ordinal(X1))). 31.61/6.37 cnf(i_0_184, lemma, (X1=unordered_pair(X2,X2)|esk31_1(X3)!=esk32_1(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk33_1(X3)))). 31.61/6.37 cnf(i_0_3853, plain, (X1=empty_set|in(X2,X3)|~in(X2,set_meet(X1))|~in(X3,X1))). 31.61/6.37 cnf(i_0_1885, lemma, (in(X1,X2)|subset(X2,set_difference(X3,unordered_pair(X1,X1)))|~subset(X2,X3))). 31.61/6.37 cnf(i_0_1248, plain, (v1_partfun1(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1))). 31.61/6.37 cnf(i_0_2105, plain, (v1_partfun1(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|empty_carrier(X1)|~meet_associative(X1)|~meet_semilatt_str(X1))). 31.61/6.37 cnf(i_0_1066, plain, (v1_partfun1(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_commutative(X1))). 31.61/6.37 cnf(i_0_802, lemma, (identity_relation(relation_dom(X1))=X1|in(esk116_2(relation_dom(X1),X1),relation_dom(X1))|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_1071, lemma, (esk148_1(X1)=empty_set|in(apply(esk147_1(X1),X2),X2)|~in(X2,X1))). 31.61/6.37 cnf(i_0_2351, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~function(X1)|~relation(X1)|~in(X3,X2))). 31.61/6.37 cnf(i_0_489, lemma, (ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~in(X1,X2))). 31.61/6.37 cnf(i_0_1161, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~in(X2,esk166_2(X3,X1))|~element(X2,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X3))))). 31.61/6.37 cnf(i_0_3935, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~in(X2,esk443_2(X3,X1))|~element(X2,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X3))))). 31.61/6.37 cnf(i_0_2504, plain, (v1_partfun1(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_associative(X1))). 31.61/6.37 cnf(i_0_1442, lemma, (element(esk227_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_772, plain, (X1=empty_set|in(esk110_2(X2,X1),X1)|~well_founded_relation(X2)|~relation(X2)|~subset(X1,relation_field(X2)))). 31.61/6.37 cnf(i_0_1108, plain, (related(X1,X2,X3)|empty_carrier(X1)|~related_reflexive(X1,X2,X3)|~rel_str(X1)|~reflexive_relstr(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_3855, plain, (X1=empty_set|in(esk429_3(X1,set_meet(X1),X2),X1)|in(X2,set_meet(X1)))). 31.61/6.37 cnf(i_0_2454, plain, (X1=X2|in(esk369_2(X1,X2),X1)|in(esk369_2(X1,X2),X2))). 31.61/6.37 cnf(i_0_1160, lemma, (closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~in(X1,esk166_2(X2,X3))|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_1280, lemma, (in(esk188_3(X1,X2,X3),relation_rng(X3))|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))). 31.61/6.37 cnf(i_0_1396, lemma, (in(esk214_3(X1,X2,X3),relation_dom(X3))|~relation(X3)|~in(X1,relation_image(X3,X2)))). 31.61/6.37 cnf(i_0_1839, lemma, (X1=X2|~related(X3,X2,X1)|~related(X3,X1,X2)|~rel_str(X3)|~antisymmetric_relstr(X3)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3)))). 31.61/6.37 cnf(i_0_1586, plain, (esk229_1(X1)=esk230_1(X1)|ordinal(esk240_2(X1,X2))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_2110, plain, (relstr_element_smaller(X1,X2,X3)|in(esk321_3(X1,X2,X3),X2)|~rel_str(X1)|~element(X3,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1574, plain, (esk229_1(X1)=esk231_1(X1)|ordinal(esk240_2(X1,X2))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1550, plain, (esk231_1(X1)=esk232_1(X1)|ordinal(esk240_2(X1,X2))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1490, plain, (esk230_1(X1)=esk234_1(X1)|ordinal(esk240_2(X1,X2))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_2545, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))). 31.61/6.37 cnf(i_0_1252, lemma, (in(relation_image(X1,X2),X3)|~function(X1)|~relation(X1)|~in(X2,esk183_3(X4,X3,X1))|~element(X3,powerset(powerset(X4))))). 31.61/6.37 cnf(i_0_394, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X2,X3)))). 31.61/6.37 cnf(i_0_3774, plain, (meet_absorbing(X1)|empty_carrier(X1)|join(X1,meet(X1,esk407_1(X1),esk408_1(X1)),esk408_1(X1))!=esk408_1(X1)|~latt_str(X1))). 31.61/6.37 cnf(i_0_3787, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|in(esk409_3(X2,X1,X3),X1)|~relation_of2_as_subset(X3,X1,X2))). 31.61/6.37 cnf(i_0_1134, plain, (open_subsets(X1,X2)|element(esk160_2(X2,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_1651, plain, (closed_subsets(X1,X2)|element(esk250_2(X2,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_1259, 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)))). 31.61/6.37 cnf(i_0_2007, lemma, (esk309_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~in(X3,esk308_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1028, plain, (in(unordered_pair(X1,X1),esk142_1(X2))|esk141_1(X2)!=esk140_1(X2)|~in(X1,X2))). 31.61/6.37 cnf(i_0_3869, plain, (esk439_3(X1,X2,X3)=X3|esk434_2(X1,X2)!=esk433_2(X1,X2)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_91, plain, (finite(esk15_2(X1,X2))|~top_str(X1)|~compact_top_space(X1)|~is_a_cover_of_carrier(X1,X2)|~open_subsets(X2,X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1251, lemma, (in(X1,powerset(relation_dom(X2)))|~function(X2)|~relation(X2)|~in(X1,esk183_3(X3,X4,X2))|~element(X4,powerset(powerset(X3))))). 31.61/6.37 cnf(i_0_1093, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|in(esk153_3(X1,X2,X3),X2)|~relation_of2_as_subset(X3,X1,X2))). 31.61/6.37 cnf(i_0_1111, lemma, (empty_carrier(X1)|meet_of_subsets(the_carrier(X1),X2)!=empty_set|~closed_subsets(X2,X1)|~centered(X2)|~topological_space(X1)|~top_str(X1)|~compact_top_space(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1158, lemma, (meet_of_subsets(the_carrier(X1),esk166_2(X1,X2))=topstr_closure(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1843, plain, (latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|in(esk278_3(X1,X2,X3),X3)|~latt_str(X1)|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1109, plain, (related_reflexive(X1,X2,X3)|empty_carrier(X1)|~related(X1,X2,X3)|~rel_str(X1)|~reflexive_relstr(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1428, plain, (in(esk225_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_inverse_image(X1,X2)))). 31.61/6.37 cnf(i_0_1219, plain, (esk179_3(X1,X2,X3)=X3|in(esk174_1(X1),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_3868, plain, (ordinal(esk439_3(X1,X2,X3))|esk434_2(X1,X2)!=esk433_2(X1,X2)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_1201, plain, (esk179_3(X1,X2,X3)=X3|in(esk176_1(X1),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_749, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|~closed_subset(esk105_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1106, lemma, (X1=empty_set|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))). 31.61/6.37 cnf(i_0_1824, plain, (subset_union2(X1,X2,X3)=subset_union2(X1,X3,X2)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))). 31.61/6.37 cnf(i_0_488, plain, (subset_intersection2(X1,X2,X3)=subset_intersection2(X1,X3,X2)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))). 31.61/6.37 cnf(i_0_2277, plain, (in(esk344_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_image(X1,X2)))). 31.61/6.37 cnf(i_0_798, lemma, (relation_image(X1,set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2)))=relation_image(X1,X2)|~relation(X1))). 31.61/6.37 cnf(i_0_233, lemma, (quasi_total(X1,empty_set,X2)|~function(X1)|~quasi_total(X1,empty_set,X3)|~relation_of2_as_subset(X1,empty_set,X3)|~subset(X3,X2))). 31.61/6.37 cnf(i_0_1616, plain, (X1=powerset(X2)|in(esk245_2(X2,X1),X1)|subset(esk245_2(X2,X1),X2))). 31.61/6.37 cnf(i_0_2448, 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))))). 31.61/6.37 cnf(i_0_1026, plain, (unordered_pair(esk143_2(X1,X2),esk143_2(X1,X2))=X2|esk141_1(X1)!=esk140_1(X1)|~in(X2,esk142_1(X1)))). 31.61/6.37 cnf(i_0_1240, lemma, (empty_set=X1|ordinal_subset(esk182_2(X1,X2),X3)|~ordinal(X2)|~ordinal(X3)|~in(X3,X1)|~subset(X1,X2))). 31.61/6.37 cnf(i_0_704, lemma, (function(esk101_2(X1,X2))|empty(X1)|in(esk96_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_2361, plain, (X1=union(X2)|in(esk360_2(X2,X1),X2)|in(esk359_2(X2,X1),X1))). 31.61/6.37 cnf(i_0_1771, lemma, (in(X1,cartesian_product2(X2,X2))|~function(X3)|~relation(X3)|~relation(X4)|~in(X1,esk264_3(X2,X4,X3)))). 31.61/6.37 cnf(i_0_574, plain, (in(apply(X1,X2),X3)|~function(X1)|~relation(X1)|~in(X2,relation_inverse_image(X1,X3)))). 31.61/6.37 cnf(i_0_756, plain, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),identity_relation(X2)))). 31.61/6.37 cnf(i_0_1608, plain, (empty_set=X1|in(esk243_3(X2,X3,X1),X1)|~is_well_founded_in(X2,X3)|~relation(X2)|~subset(X1,X3))). 31.61/6.37 cnf(i_0_208, plain, (below_refl(X1,X2,X2)|empty_carrier(X1)|~latt_str(X1)|~join_absorbing(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_2108, plain, (related(X1,X2,X3)|~rel_str(X1)|~relstr_element_smaller(X1,X4,X2)|~in(X3,X4)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_2360, plain, (X1=union(X2)|in(esk359_2(X2,X1),esk360_2(X2,X1))|in(esk359_2(X2,X1),X1))). 31.61/6.37 cnf(i_0_2431, lemma, (in(apply(X1,X2),relation_dom(X3))|~function(X3)|~function(X1)|~relation(X3)|~relation(X1)|~in(X2,relation_dom(relation_composition(X1,X3))))). 31.61/6.37 cnf(i_0_1834, lemma, (in(X1,X2)|~function(X3)|~relation(X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),esk277_3(X2,X4,X3)))). 31.61/6.37 cnf(i_0_1836, lemma, (in(X1,X2)|~function(X3)|~relation(X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),esk277_3(X2,X4,X3)))). 31.61/6.37 cnf(i_0_2348, lemma, (in(set_union2(X1,unordered_pair(X1,X1)),X2)|~being_limit_ordinal(X2)|~ordinal(X2)|~in(X1,X2))). 31.61/6.37 cnf(i_0_1805, lemma, (subset_complement(X1,meet_of_subsets(X1,X2))=union_of_subsets(X1,complements_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_1664, 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)))). 31.61/6.37 cnf(i_0_3907, plain, (esk435_2(X1,X2)=esk434_2(X1,X2)|esk438_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3889, plain, (esk436_2(X1,X2)=esk433_2(X1,X2)|esk438_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_1911, plain, (apply(X1,esk294_3(X1,relation_rng(X1),X2))=X2|~function(X1)|~relation(X1)|~in(X2,relation_rng(X1)))). 31.61/6.37 cnf(i_0_2289, lemma, (meet_of_subsets(X1,complements_of_subsets(X1,X2))=subset_complement(X1,union_of_subsets(X1,X2))|empty_set=X2|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_409, plain, (subset(X1,X2)|esk63_2(X3,X1)!=esk62_2(X3,X1)|~topological_space(X3)|~top_str(X3)|~in(X2,esk66_2(X3,X1))|~element(X1,powerset(the_carrier(X3))))). 31.61/6.37 cnf(i_0_358, lemma, (in(X1,topstr_closure(X2,X3))|~top_str(X2)|~in(X1,esk53_3(X2,X3,X1))|~in(X1,the_carrier(X2))|~element(X3,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_1090, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk150_2(X3,X2)))). 31.61/6.37 cnf(i_0_1233, plain, (esk171_1(X1)=esk172_1(X1)|in(esk180_3(X1,X2,X3),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_2079, lemma, (apply(X1,apply(function_inverse(X1),X2))=X2|~one_to_one(X1)|~function(X1)|~relation(X1)|~in(X2,relation_rng(X1)))). 31.61/6.37 cnf(i_0_2080, lemma, (apply(relation_composition(function_inverse(X1),X1),X2)=X2|~one_to_one(X1)|~function(X1)|~relation(X1)|~in(X2,relation_rng(X1)))). 31.61/6.37 cnf(i_0_3747, lemma, (X1=empty_set|in(esk402_2(X2,X1),X1)|esk400_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_81, 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)))). 31.61/6.37 cnf(i_0_1209, plain, (esk171_1(X1)=esk173_1(X1)|in(esk180_3(X1,X2,X3),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_1913, plain, (in(apply(X1,X2),relation_rng(X1))|~function(X1)|~relation(X1)|~in(X2,relation_dom(X1)))). 31.61/6.37 cnf(i_0_576, plain, (in(X1,relation_inverse_image(X2,X3))|~function(X2)|~relation(X2)|~in(apply(X2,X1),X3)|~in(X1,relation_dom(X2)))). 31.61/6.37 cnf(i_0_697, lemma, (relation(esk101_2(X1,X2))|empty(X1)|in(esk97_2(X1,X2),esk100_2(X1,X2))|~relation(X2))). 31.61/6.37 cnf(i_0_1081, 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)))). 31.61/6.37 cnf(i_0_3856, plain, (meet_commut(X1,X2,X3)=meet(X1,X2,X3)|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1999, 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))))). 31.61/6.37 cnf(i_0_80, 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)))). 31.61/6.37 cnf(i_0_713, lemma, (relation(esk101_2(X1,X2))|empty(X1)|in(esk98_2(X1,X2),esk99_2(X1,X2))|~relation(X2))). 31.61/6.37 cnf(i_0_1092, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(X4,esk153_3(X1,X2,X3)),unordered_pair(X4,X4)),X3))). 31.61/6.37 cnf(i_0_92, plain, (is_a_cover_of_carrier(X1,esk15_2(X1,X2))|~top_str(X1)|~compact_top_space(X1)|~is_a_cover_of_carrier(X1,X2)|~open_subsets(X2,X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_90, plain, (subset(esk15_2(X1,X2),X2)|~top_str(X1)|~compact_top_space(X1)|~is_a_cover_of_carrier(X1,X2)|~open_subsets(X2,X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_696, lemma, (function(esk101_2(X1,X2))|empty(X1)|in(esk97_2(X1,X2),esk100_2(X1,X2))|~relation(X2))). 31.61/6.37 cnf(i_0_1825, 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)))). 31.61/6.37 cnf(i_0_241, plain, (X1=X2|X1=X3|X1=X4|~in(X1,unordered_triple(X2,X4,X3)))). 31.61/6.37 cnf(i_0_1681, 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)))). 31.61/6.37 cnf(i_0_3790, plain, (in(esk413_4(X1,X2,relation_image(X1,X2),X3),X2)|~function(X1)|~relation(X1)|~in(X3,relation_image(X1,X2)))). 31.61/6.37 cnf(i_0_712, lemma, (function(esk101_2(X1,X2))|empty(X1)|in(esk98_2(X1,X2),esk99_2(X1,X2))|~relation(X2))). 31.61/6.37 cnf(i_0_1131, plain, (open_subset(X1,X2)|~top_str(X2)|~open_subsets(X3,X2)|~in(X1,X3)|~element(X3,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_1648, plain, (closed_subset(X1,X2)|~closed_subsets(X3,X2)|~top_str(X2)|~in(X1,X3)|~element(X3,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_118, plain, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|meet(X1,X2,esk20_2(X1,X2))!=X2|meet(X1,esk20_2(X1,X2),X2)!=X2|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1029, plain, (unordered_pair(esk143_2(X1,X2),esk143_2(X1,X2))=X2|in(esk139_1(X1),X1)|~in(X2,esk142_1(X1)))). 31.61/6.37 cnf(i_0_1663, plain, (point_neighbourhood(X1,X2,X3)|empty_carrier(X2)|~topological_space(X2)|~top_str(X2)|~in(X3,interior(X2,X1))|~element(X1,powerset(the_carrier(X2)))|~element(X3,the_carrier(X2)))). 31.61/6.37 cnf(i_0_1275, lemma, (esk187_2(X1,X2)=X3|X2=empty_set|~finite(X1)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk187_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1845, plain, (below(X1,X2,X3)|empty_carrier(X1)|~latt_set_smaller(X1,X2,X4)|~latt_str(X1)|~in(X3,X4)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1698, 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))))). 31.61/6.37 cnf(i_0_1912, plain, (in(esk294_3(X1,relation_rng(X1),X2),relation_dom(X1))|~function(X1)|~relation(X1)|~in(X2,relation_rng(X1)))). 31.61/6.37 cnf(i_0_3870, plain, (in(esk439_3(X1,X2,X3),X1)|esk434_2(X1,X2)!=esk433_2(X1,X2)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_2009, lemma, (closed_subset(esk309_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~in(X3,esk308_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_3831, lemma, (empty(X1)|in(esk420_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk419_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_1906, lemma, (in(X1,powerset(X2))|~ordinal(X2)|~in(X1,esk290_2(X2,X3))|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2))))))). 31.61/6.37 cnf(i_0_1656, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))). 31.61/6.37 cnf(i_0_3769, lemma, (in(X1,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|~one_sorted_str(X2)|~in(X1,esk403_3(X2,X3,X4))|~element(X3,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_3933, lemma, (esk444_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~in(X3,esk443_2(X1,X2))|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_607, plain, (below_refl(X1,esk83_2(X2,X1),esk84_2(X2,X1))|empty_carrier(X1)|~latt_str(X1)|~lattice(X1)|~in(X2,a_1_0_filter_1(X1)))). 31.61/6.37 cnf(i_0_629, plain, (in(union_of_subsets(the_carrier(X1),X2),the_topology(X1))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~subset(X2,the_topology(X1)))). 31.61/6.37 cnf(i_0_1263, plain, (X1=X2|in(X1,X2)|in(X2,X1)|~epsilon_connected(X3)|~in(X2,X3)|~in(X1,X3))). 31.61/6.37 cnf(i_0_1898, plain, (X1=fiber(X2,X3)|in(esk287_3(X2,X3,X1),X1)|esk287_3(X2,X3,X1)!=X3|~relation(X2))). 31.61/6.37 cnf(i_0_1187, plain, (in(esk179_3(X1,X2,X3),cartesian_product2(X1,X2))|esk173_1(X1)!=esk172_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_236, lemma, (X1=empty_set|quasi_total(X2,X3,X4)|~function(X2)|~quasi_total(X2,X3,X1)|~relation_of2_as_subset(X2,X3,X1)|~subset(X1,X4))). 31.61/6.37 cnf(i_0_218, 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))))). 31.61/6.37 cnf(i_0_616, plain, (topological_space(X1)|element(esk86_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk85_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_615, plain, (topological_space(X1)|element(esk87_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk85_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_3852, plain, (set_meet(X1)=X2|X1=empty_set|in(esk431_2(X1,X2),X1)|~in(esk430_2(X1,X2),X2))). 31.61/6.37 cnf(i_0_2006, lemma, (element(esk309_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk308_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_3836, lemma, (in(X1,esk424_1(X2))|esk427_3(X2,X1,X1)!=empty_set|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))). 31.61/6.37 cnf(i_0_1919, lemma, (subset_difference(X1,X1,meet_of_subsets(X1,X2))=union_of_subsets(X1,complements_of_subsets(X1,X2))|empty_set=X2|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_1923, lemma, (empty_set=X1|in(X2,X3)|~function(X4)|~quasi_total(X4,X3,X1)|~relation_of2_as_subset(X4,X3,X1)|~in(X2,relation_inverse_image(X4,X5)))). 31.61/6.37 cnf(i_0_636, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_dom_restriction(X3,X2)))). 31.61/6.37 cnf(i_0_3919, plain, (esk438_3(X1,X2,X3)=X3|ordinal(esk435_2(X1,X2))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_2284, plain, (set_difference(X1,set_difference(X1,X2))=subset_intersection2(X3,X1,X2)|~element(X1,powerset(X3))|~element(X2,powerset(X3)))). 31.61/6.37 cnf(i_0_2133, lemma, (point_neighbourhood(X1,X2,X3)|empty_carrier(X2)|~topological_space(X2)|~open_subset(X1,X2)|~top_str(X2)|~in(X3,X1)|~element(X1,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_2000, 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))))). 31.61/6.37 cnf(i_0_3773, plain, (join(X1,meet(X1,X2,X3),X3)=X3|empty_carrier(X1)|~latt_str(X1)|~meet_absorbing(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_213, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_rng_restriction(X2,X3)))). 31.61/6.37 cnf(i_0_3895, plain, (esk438_3(X1,X2,X3)=X3|ordinal(esk436_2(X1,X2))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_1086, plain, (related(X1,X2,X3)|~rel_str(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),the_InternalRel(X1))|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_795, plain, (X1=relation_rng(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,esk113_2(X2,X1)),unordered_pair(X3,X3)),X2)|~in(esk113_2(X2,X1),X1))). 31.61/6.37 cnf(i_0_3917, plain, (esk439_3(X1,X2,X3)=X3|ordinal(esk435_2(X1,X2))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3893, plain, (esk439_3(X1,X2,X3)=X3|ordinal(esk436_2(X1,X2))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_1235, plain, (esk171_1(X1)=esk172_1(X1)|in(esk179_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_3763, lemma, (X1=empty_set|ordinal(esk398_0)|in(esk402_2(X2,X1),X1)|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_626, plain, (topological_space(X1)|element(esk85_1(X1),powerset(powerset(the_carrier(X1))))|element(esk86_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_625, plain, (topological_space(X1)|element(esk85_1(X1),powerset(powerset(the_carrier(X1))))|element(esk87_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_1016, lemma, (relation(esk137_2(X1,X2))|in(esk134_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1725, lemma, (unordered_pair(esk259_1(X1),esk259_1(X1))=esk260_1(X1)|relation(esk262_1(X1)))). 31.61/6.37 cnf(i_0_1878, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~function(X1)|~function(X2)|~relation(X1)|~relation(X2)|~in(X3,relation_dom(relation_composition(X1,X2))))). 31.61/6.37 cnf(i_0_406, plain, (esk67_3(X1,X2,X3)=X3|esk63_2(X1,X2)!=esk62_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_195, lemma, (in(esk30_1(X1),X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk33_1(X1)))). 31.61/6.37 cnf(i_0_1211, plain, (esk171_1(X1)=esk173_1(X1)|in(esk179_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_1009, lemma, (function(esk137_2(X1,X2))|in(esk134_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1671, plain, (below(X1,X2,X3)|empty_carrier(X1)|~below_refl(X1,X2,X3)|~latt_str(X1)|~join_absorbing(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1806, 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))|~latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_773, plain, (X1=empty_set|disjoint(fiber(X2,esk110_2(X2,X1)),X1)|~well_founded_relation(X2)|~relation(X2)|~subset(X1,relation_field(X2)))). 31.61/6.37 cnf(i_0_1722, lemma, (unordered_pair(esk259_1(X1),esk259_1(X1))=esk260_1(X1)|function(esk262_1(X1)))). 31.61/6.37 cnf(i_0_671, lemma, (empty(X1)|in(X2,X1)|esk98_2(X1,X3)!=esk97_2(X1,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)),esk101_2(X1,X3)))). 31.61/6.37 cnf(i_0_2145, plain, (esk336_4(X1,X2,X3,X4)=X4|empty(X1)|esk327_2(X1,X2)!=esk326_2(X1,X2)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2485, plain, (X1=X2|apply(X3,X1)!=apply(X3,X2)|~one_to_one(X3)|~function(X3)|~relation(X3)|~in(X2,relation_dom(X3))|~in(X1,relation_dom(X3)))). 31.61/6.37 cnf(i_0_110, plain, (is_transitive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk16_2(X1,X2),esk16_2(X1,X2)),unordered_pair(esk16_2(X1,X2),esk18_2(X1,X2))),X1))). 31.61/6.37 cnf(i_0_1221, plain, (in(esk180_3(X1,X2,X3),X1)|in(esk174_1(X1),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_1083, lemma, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|~topological_space(X1)|~top_str(X1)|~in(X2,esk149_2(X1,X3))|~element(X3,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1460, lemma, (below_refl(X1,X2,X3)|empty_carrier(X1)|~latt_str(X1)|~lattice(X1)|~in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_621, plain, (topological_space(X1)|element(esk86_1(X1),powerset(the_carrier(X1)))|subset(esk85_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_620, plain, (topological_space(X1)|element(esk87_1(X1),powerset(the_carrier(X1)))|subset(esk85_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_1729, lemma, (unordered_pair(esk259_1(X1),esk259_1(X1))=esk261_1(X1)|relation(esk262_1(X1)))). 31.61/6.37 cnf(i_0_1691, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk252_2(X1,X2),esk252_2(X1,X2)),unordered_pair(esk252_2(X1,X2),esk253_2(X1,X2))),X1))). 31.61/6.37 cnf(i_0_1692, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk252_2(X1,X2),esk253_2(X1,X2)),unordered_pair(esk253_2(X1,X2),esk253_2(X1,X2))),X1))). 31.61/6.37 cnf(i_0_1921, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk295_2(X1,X2),esk295_2(X1,X2)),unordered_pair(esk295_2(X1,X2),esk295_2(X1,X2))),X1))). 31.61/6.37 cnf(i_0_1203, plain, (in(esk180_3(X1,X2,X3),X1)|in(esk176_1(X1),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_3838, lemma, (in(X1,esk424_1(X2))|in(X1,omega)|~ordinal(X2)|~ordinal(X1)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))). 31.61/6.37 cnf(i_0_3951, lemma, (below(X1,meet_commut(X1,X2,X3),X2)|empty_carrier(X1)|~latt_str(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_2525, 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))))). 31.61/6.37 cnf(i_0_292, lemma, (relation(esk52_2(X1,X2))|subset_complement(the_carrier(X1),esk51_3(X1,X2,X3))!=X3|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1726, lemma, (unordered_pair(esk259_1(X1),esk259_1(X1))=esk261_1(X1)|function(esk262_1(X1)))). 31.61/6.37 cnf(i_0_2367, lemma, (relation(esk367_2(X1,X2))|subset_complement(the_carrier(X1),esk366_3(X1,X2,X3))!=X3|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_293, lemma, (function(esk52_2(X1,X2))|subset_complement(the_carrier(X1),esk51_3(X1,X2,X3))!=X3|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2370, lemma, (function(esk367_2(X1,X2))|subset_complement(the_carrier(X1),esk366_3(X1,X2,X3))!=X3|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1924, lemma, (empty_set=X1|in(apply(X2,X3),X4)|~function(X2)|~quasi_total(X2,X5,X1)|~relation_of2_as_subset(X2,X5,X1)|~in(X3,relation_inverse_image(X2,X4)))). 31.61/6.37 cnf(i_0_1072, lemma, (in(apply(esk147_1(X1),X2),X2)|in(esk148_1(X1),X1)|~in(X2,X1))). 31.61/6.37 cnf(i_0_614, plain, (topological_space(X1)|in(esk86_1(X1),the_topology(X1))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk85_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_613, plain, (topological_space(X1)|in(esk87_1(X1),the_topology(X1))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk85_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_3916, plain, (ordinal(esk439_3(X1,X2,X3))|ordinal(esk435_2(X1,X2))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3892, plain, (ordinal(esk439_3(X1,X2,X3))|ordinal(esk436_2(X1,X2))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_1724, lemma, (unordered_pair(esk259_1(X1),esk259_1(X1))=esk260_1(X1)|relation_dom(esk262_1(X1))=X1)). 31.61/6.37 cnf(i_0_3828, lemma, (esk422_4(X1,X2,X3,X4)=esk420_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk419_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2473, lemma, (in(esk374_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~in(X4,esk372_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1916, plain, (relation_rng(X1)=X2|esk292_2(X1,X2)!=apply(X1,X3)|~function(X1)|~relation(X1)|~in(esk292_2(X1,X2),X2)|~in(X3,relation_dom(X1)))). 31.61/6.37 cnf(i_0_1033, plain, (unordered_pair(esk139_1(X1),esk139_1(X1))=esk140_1(X1)|in(esk143_2(X1,X2),X1)|~in(X2,esk142_1(X1)))). 31.61/6.37 cnf(i_0_1670, plain, (below_refl(X1,X2,X3)|empty_carrier(X1)|~below(X1,X2,X3)|~latt_str(X1)|~join_absorbing(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_751, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|element(esk105_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1159, lemma, (in(X1,esk166_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~subset(X3,X1))). 31.61/6.37 cnf(i_0_780, plain, (complements_of_subsets(X1,X2)=X3|element(esk112_3(X1,X2,X3),powerset(X1))|~element(X3,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_3789, plain, (apply(X1,esk413_4(X1,X2,relation_image(X1,X2),X3))=X3|~function(X1)|~relation(X1)|~in(X3,relation_image(X1,X2)))). 31.61/6.37 cnf(i_0_1039, plain, (unordered_pair(esk139_1(X1),esk139_1(X1))=esk141_1(X1)|in(esk143_2(X1,X2),X1)|~in(X2,esk142_1(X1)))). 31.61/6.37 cnf(i_0_2542, plain, (X1=set_difference(X2,X3)|in(esk382_3(X2,X3,X1),X1)|~in(esk382_3(X2,X3,X1),X3))). 31.61/6.37 cnf(i_0_647, plain, (esk95_3(X1,X2,X3)=X3|esk93_2(X1,X2)!=esk92_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2292, plain, (esk353_4(X1,X2,X3,X4)=X4|esk347_3(X1,X2,X3)!=esk346_3(X1,X2,X3)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_1225, plain, (unordered_pair(esk174_1(X1),esk174_1(X1))=esk175_1(X1)|esk179_3(X1,X2,X3)=X3|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_3757, lemma, (X1=empty_set|in(esk402_2(X2,X1),X1)|in(esk398_0,omega)|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_619, plain, (topological_space(X1)|in(esk86_1(X1),the_topology(X1))|subset(esk85_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_618, plain, (topological_space(X1)|in(esk87_1(X1),the_topology(X1))|subset(esk85_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_1441, lemma, (in(X1,esk227_2(X2,X3))|~topological_space(X2)|~top_str(X2)|~in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~element(X3,powerset(powerset(the_carrier(X2))))|~element(X1,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_3791, plain, (in(esk413_4(X1,X2,relation_image(X1,X2),X3),relation_dom(X1))|~function(X1)|~relation(X1)|~in(X3,relation_image(X1,X2)))). 31.61/6.37 cnf(i_0_1195, plain, (unordered_pair(esk176_1(X1),esk176_1(X1))=esk177_1(X1)|esk179_3(X1,X2,X3)=X3|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_1427, 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))). 31.61/6.37 cnf(i_0_2278, plain, (in(X1,relation_image(X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X2)|~in(X4,X3))). 31.61/6.37 cnf(i_0_1728, lemma, (unordered_pair(esk259_1(X1),esk259_1(X1))=esk261_1(X1)|relation_dom(esk262_1(X1))=X1)). 31.61/6.37 cnf(i_0_2082, 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)))). 31.61/6.37 cnf(i_0_1711, plain, (meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1121, plain, (X1=topstr_closure(X2,X3)|in(esk157_3(X2,X3,X1),the_carrier(X2))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_1031, plain, (in(unordered_pair(X1,X1),esk142_1(X2))|in(esk139_1(X2),X2)|~in(X1,X2))). 31.61/6.37 cnf(i_0_1084, lemma, (in(X1,esk149_2(X2,X3))|~topological_space(X2)|~top_str(X2)|~in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_1894, plain, (X1=X2|in(X1,fiber(X3,X2))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3))). 31.61/6.37 cnf(i_0_1032, plain, (unordered_pair(esk139_1(X1),esk139_1(X1))=esk140_1(X1)|unordered_pair(esk143_2(X1,X2),esk143_2(X1,X2))=X2|~in(X2,esk142_1(X1)))). 31.61/6.37 cnf(i_0_2462, plain, (subset(X1,X2)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),inclusion_relation(X3))|~in(X2,X3)|~in(X1,X3))). 31.61/6.37 cnf(i_0_294, lemma, (relation_dom(esk52_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk51_3(X1,X2,X3))!=X3|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_138, lemma, (relation(esk24_2(X1,X2))|in(esk21_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1902, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~reflexive(X2)|~relation(X2)|~in(X1,relation_field(X2)))). 31.61/6.37 cnf(i_0_2015, plain, (empty(X1)|in(X2,esk318_3(X1,X3,X2))|esk312_2(X1,X3)!=esk311_2(X1,X3)|~relation(X3)|~in(X2,esk315_2(X1,X3)))). 31.61/6.37 cnf(i_0_1038, plain, (unordered_pair(esk139_1(X1),esk139_1(X1))=esk141_1(X1)|unordered_pair(esk143_2(X1,X2),esk143_2(X1,X2))=X2|~in(X2,esk142_1(X1)))). 31.61/6.37 cnf(i_0_131, lemma, (function(esk24_2(X1,X2))|in(esk21_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_624, plain, (topological_space(X1)|in(esk86_1(X1),the_topology(X1))|element(esk85_1(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_623, plain, (topological_space(X1)|in(esk87_1(X1),the_topology(X1))|element(esk85_1(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_3877, plain, (esk432_2(X1,X2)=esk433_2(X1,X2)|esk438_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_2012, plain, (empty(X1)|in(esk317_3(X1,X2,X3),X1)|esk312_2(X1,X2)!=esk311_2(X1,X2)|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_1830, 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))). 31.61/6.37 cnf(i_0_3924, plain, (subset(X1,X2)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk440_2(X1,X2),esk440_2(X1,X2)),unordered_pair(esk440_2(X1,X2),esk441_2(X1,X2))),X2))). 31.61/6.37 cnf(i_0_3901, plain, (esk432_2(X1,X2)=esk434_2(X1,X2)|esk438_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_93, plain, (element(esk15_2(X1,X2),powerset(powerset(the_carrier(X1))))|~top_str(X1)|~compact_top_space(X1)|~is_a_cover_of_carrier(X1,X2)|~open_subsets(X2,X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2666, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|esk388_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2558, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|esk390_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_304, lemma, (relation(esk52_2(X1,X2))|in(esk50_2(X1,X2),X2)|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3875, plain, (esk432_2(X1,X2)=esk433_2(X1,X2)|esk439_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3899, plain, (esk432_2(X1,X2)=esk434_2(X1,X2)|esk439_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3905, plain, (esk435_2(X1,X2)=esk434_2(X1,X2)|esk439_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3887, plain, (esk436_2(X1,X2)=esk433_2(X1,X2)|esk439_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3913, plain, (esk438_3(X1,X2,X3)=X3|in(esk435_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_1136, plain, (apply(X1,unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))=apply_binary(X1,X2,X3)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_2078, 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))). 31.61/6.37 cnf(i_0_3883, plain, (esk438_3(X1,X2,X3)=X3|in(esk436_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3911, plain, (esk439_3(X1,X2,X3)=X3|in(esk435_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3881, plain, (esk439_3(X1,X2,X3)=X3|in(esk436_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_1034, plain, (unordered_pair(esk139_1(X1),esk139_1(X1))=esk140_1(X1)|in(unordered_pair(X2,X2),esk142_1(X1))|~in(X2,X1))). 31.61/6.37 cnf(i_0_1223, plain, (in(esk179_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk174_1(X1),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_408, plain, (esk68_3(X1,X2,X3)=X3|esk63_2(X1,X2)!=esk62_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_989, lemma, (in(X1,X2)|esk135_2(X3,X2)!=esk136_2(X3,X2)|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk137_2(X3,X2))|~element(X2,powerset(powerset(the_carrier(X3)))))). 31.61/6.37 cnf(i_0_1316, 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))). 31.61/6.37 cnf(i_0_1205, plain, (in(esk179_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk176_1(X1),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_356, lemma, (meet(boole_lattice(X1),X2,X3)=set_difference(X2,set_difference(X2,X3))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))). 31.61/6.37 cnf(i_0_82, plain, (X1=bottom_of_semilattstr(X2)|empty_carrier(X2)|meet(X2,X1,esk13_2(X2,X1))!=X1|meet(X2,esk13_2(X2,X1),X1)!=X1|~lower_bounded_semilattstr(X2)|~meet_semilatt_str(X2)|~element(X1,the_carrier(X2)))). 31.61/6.37 cnf(i_0_1609, plain, (empty_set=X1|disjoint(fiber(X2,esk243_3(X2,X3,X1)),X1)|~is_well_founded_in(X2,X3)|~relation(X2)|~subset(X1,X3))). 31.61/6.37 cnf(i_0_3934, lemma, (closed_subset(esk444_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~in(X3,esk443_2(X1,X2))|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_944, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(esk123_2(X1,X2),X1)|in(esk118_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_10, plain, (esk9_4(X1,X2,X3,X4)=X4|esk3_2(X1,X2)!=esk2_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1929, plain, (esk305_4(X1,X2,X3,X4)=X4|esk298_2(X1,X2)!=esk297_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3788, plain, (in(apply(X1,X2),relation_image(X1,X3))|~function(X1)|~relation(X1)|~in(X2,relation_dom(X1))|~in(X2,X3))). 31.61/6.37 cnf(i_0_1319, plain, (function(X1)|in(unordered_pair(unordered_pair(esk199_1(X1),esk199_1(X1)),unordered_pair(esk199_1(X1),esk200_1(X1))),X1))). 31.61/6.37 cnf(i_0_360, lemma, (in(X1,topstr_closure(X2,X3))|subset(X3,esk53_3(X2,X3,X1))|~top_str(X2)|~in(X1,the_carrier(X2))|~element(X3,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_359, lemma, (closed_subset(esk53_3(X1,X2,X3),X1)|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~in(X3,the_carrier(X1))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_3874, plain, (esk432_2(X1,X2)=esk433_2(X1,X2)|ordinal(esk439_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3898, plain, (esk432_2(X1,X2)=esk434_2(X1,X2)|ordinal(esk439_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_1040, plain, (unordered_pair(esk139_1(X1),esk139_1(X1))=esk141_1(X1)|in(unordered_pair(X2,X2),esk142_1(X1))|~in(X2,X1))). 31.61/6.37 cnf(i_0_1318, plain, (function(X1)|in(unordered_pair(unordered_pair(esk199_1(X1),esk199_1(X1)),unordered_pair(esk199_1(X1),esk201_1(X1))),X1))). 31.61/6.37 cnf(i_0_612, plain, (topological_space(X1)|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk86_1(X1),esk87_1(X1)),the_topology(X1))|~in(union_of_subsets(the_carrier(X1),esk85_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_1652, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~in(X3,relation_dom(X1)))). 31.61/6.37 cnf(i_0_194, lemma, (X1=unordered_pair(X2,X2)|in(esk30_1(X3),X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk33_1(X3)))). 31.61/6.37 cnf(i_0_2335, plain, (esk356_3(X1,X2,X3)=X1|esk356_3(X1,X2,X3)=X2|unordered_pair(X1,X2)=X3|in(esk356_3(X1,X2,X3),X3))). 31.61/6.37 cnf(i_0_3904, plain, (esk435_2(X1,X2)=esk434_2(X1,X2)|ordinal(esk439_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3886, plain, (esk436_2(X1,X2)=esk433_2(X1,X2)|ordinal(esk439_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3936, lemma, (element(esk444_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk443_2(X1,X2))|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1464, plain, (in(esk239_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|esk231_1(X1)!=esk230_1(X1)|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1310, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))). 31.61/6.37 cnf(i_0_1418, lemma, (unordered_pair(esk219_3(X1,X2,X3),esk219_3(X1,X2,X3))=esk220_3(X1,X2,X3)|~in(X3,esk218_2(X1,X2)))). 31.61/6.37 cnf(i_0_818, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(esk123_2(X1,X2),X1)|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2))). 31.61/6.37 cnf(i_0_3918, plain, (ordinal(esk435_2(X1,X2))|in(esk439_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3894, plain, (ordinal(esk436_2(X1,X2))|in(esk439_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_1303, plain, (X1=cartesian_product2(X2,X3)|in(esk197_3(X2,X3,X1),X2)|in(esk196_3(X2,X3,X1),X1))). 31.61/6.37 cnf(i_0_3910, plain, (ordinal(esk439_3(X1,X2,X3))|in(esk435_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3880, plain, (ordinal(esk439_3(X1,X2,X3))|in(esk436_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3755, lemma, (X1=empty_set|in(esk402_2(X2,X1),X1)|element(esk400_0,powerset(powerset(esk398_0)))|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2738, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1304, plain, (X1=cartesian_product2(X2,X3)|in(esk198_3(X2,X3,X1),X3)|in(esk196_3(X2,X3,X1),X1))). 31.61/6.37 cnf(i_0_410, plain, (closed_subset(esk68_3(X1,X2,X3),X1)|esk63_2(X1,X2)!=esk62_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_2549, plain, (X1=relation_dom(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(esk384_2(X2,X1),X3),unordered_pair(esk384_2(X2,X1),esk384_2(X2,X1))),X2)|~in(esk384_2(X2,X1),X1))). 31.61/6.37 cnf(i_0_2433, lemma, (in(X1,relation_dom(relation_composition(X2,X3)))|~function(X3)|~function(X2)|~relation(X3)|~relation(X2)|~in(apply(X2,X1),relation_dom(X3))|~in(X1,relation_dom(X2)))). 31.61/6.37 cnf(i_0_2013, plain, (esk317_3(X1,X2,X3)=esk318_3(X1,X2,X3)|empty(X1)|esk312_2(X1,X2)!=esk311_2(X1,X2)|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_2543, plain, (X1=set_difference(X2,X3)|in(esk382_3(X2,X3,X1),X2)|in(esk382_3(X2,X3,X1),X1))). 31.61/6.37 cnf(i_0_2682, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2574, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_361, lemma, (in(X1,topstr_closure(X2,X3))|element(esk53_3(X2,X3,X1),powerset(the_carrier(X2)))|~top_str(X2)|~in(X1,the_carrier(X2))|~element(X3,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_608, plain, (ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),esk83_2(X2,X1),esk84_2(X2,X1))=X2|empty_carrier(X1)|~latt_str(X1)|~lattice(X1)|~in(X2,a_1_0_filter_1(X1)))). 31.61/6.37 cnf(i_0_1915, plain, (relation_rng(X1)=X2|in(esk293_2(X1,X2),relation_dom(X1))|in(esk292_2(X1,X2),X2)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_1250, lemma, (in(X1,esk183_3(X2,X3,X4))|~function(X4)|~relation(X4)|~in(X1,powerset(relation_dom(X4)))|~in(relation_image(X4,X1),X3)|~element(X3,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_962, plain, (in(relation_image(X1,X2),X3)|esk130_3(X4,X3,X1)!=esk129_3(X4,X3,X1)|~function(X1)|~relation(X1)|~in(X2,esk131_3(X4,X3,X1))|~element(X3,powerset(powerset(X4))))). 31.61/6.37 cnf(i_0_1440, lemma, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|~topological_space(X1)|~top_str(X1)|~in(X2,esk227_2(X1,X3))|~element(X3,powerset(powerset(the_carrier(X1))))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_2369, lemma, (relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk366_3(X1,X2,X3))!=X3|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1584, plain, (esk229_1(X1)=esk230_1(X1)|in(esk239_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_416, plain, (esk61_2(X1,X2)=esk62_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_451, plain, (esk61_2(X1,X2)=esk63_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_479, plain, (esk64_2(X1,X2)=esk63_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_437, plain, (esk65_2(X1,X2)=esk62_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1572, plain, (esk229_1(X1)=esk231_1(X1)|in(esk239_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_3748, lemma, (X1=esk402_2(X2,X3)|X3=empty_set|esk400_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~in(X1,X3)|~element(X3,powerset(powerset(X2)))|~subset(esk402_2(X2,X3),X1))). 31.61/6.37 cnf(i_0_617, plain, (topological_space(X1)|subset(esk85_1(X1),the_topology(X1))|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk86_1(X1),esk87_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_823, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(esk123_2(X1,X2),X1)|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2))). 31.61/6.37 cnf(i_0_3749, lemma, (X1=empty_set|in(esk402_2(X2,X1),X1)|esk401_1(X3)!=X3|~ordinal(X2)|~in(X3,esk400_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1548, plain, (esk231_1(X1)=esk232_1(X1)|in(esk239_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_423, plain, (subset(X1,esk62_2(X2,X1))|subset(X1,X3)|~topological_space(X2)|~top_str(X2)|~in(X3,esk66_2(X2,X1))|~element(X1,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_465, plain, (subset(X1,esk63_2(X2,X1))|subset(X1,X3)|~topological_space(X2)|~top_str(X2)|~in(X3,esk66_2(X2,X1))|~element(X1,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_472, plain, (closed_subset(esk64_2(X1,X2),X1)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_430, plain, (closed_subset(esk65_2(X1,X2),X1)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1488, plain, (esk230_1(X1)=esk234_1(X1)|in(esk239_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_622, plain, (topological_space(X1)|element(esk85_1(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk86_1(X1),esk87_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))). 31.61/6.37 cnf(i_0_1807, 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)|~latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1560, plain, (ordinal(esk232_1(X1))|in(esk239_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_1476, plain, (ordinal(esk234_1(X1))|in(esk239_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(X2,esk236_1(X1)))). 31.61/6.37 cnf(i_0_3850, plain, (set_meet(X1)=X2|X1=empty_set|in(esk430_2(X1,X2),X3)|in(esk430_2(X1,X2),X2)|~in(X3,X1))). 31.61/6.37 cnf(i_0_931, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|function(esk125_2(X1,X2))|empty(X1)|in(esk123_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_1920, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~is_reflexive_in(X2,X3)|~relation(X2)|~in(X1,X3))). 31.61/6.37 cnf(i_0_961, plain, (esk132_4(X1,X2,X3,X4)=X4|esk130_3(X1,X2,X3)!=esk129_3(X1,X2,X3)|~function(X3)|~relation(X3)|~in(X4,esk131_3(X1,X2,X3))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_1091, lemma, (in(X1,esk150_2(X2,X3))|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))). 31.61/6.37 cnf(i_0_877, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|function(esk125_2(X1,X2))|empty(X1)|in(esk123_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_1719, lemma, (unordered_pair(X1,X1)=apply(esk262_1(X2),X1)|esk261_1(X2)!=esk260_1(X2)|~in(X1,X2))). 31.61/6.37 cnf(i_0_1461, 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)|~latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_610, 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)|~latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_1227, plain, (unordered_pair(esk174_1(X1),esk174_1(X1))=esk175_1(X1)|in(esk180_3(X1,X2,X3),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_2019, plain, (empty(X1)|in(esk317_3(X1,X2,X3),X1)|in(esk310_2(X1,X2),X1)|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_1197, plain, (unordered_pair(esk176_1(X1),esk176_1(X1))=esk177_1(X1)|in(esk180_3(X1,X2,X3),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_790, plain, (empty_carrier(X1)|empty_carrier(X2)|element(k10_filter_1(X1,X2,X3,X4),the_carrier(k8_filter_1(X1,X2)))|~latt_str(X2)|~latt_str(X1)|~lattice(X2)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X2)))). 31.61/6.37 cnf(i_0_750, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|in(esk105_2(X1,X2),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_352, lemma, (relation(esk52_2(X1,X2))|in(esk50_2(X1,X2),X2)|in(esk47_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_458, plain, (element(esk64_2(X1,X2),powerset(the_carrier(X1)))|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_926, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|relation(esk125_2(X1,X2))|empty(X1)|in(esk123_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_1421, lemma, (empty_set=X1|in(unordered_pair(unordered_pair(esk221_1(X1),esk221_1(X1)),unordered_pair(esk221_1(X1),esk222_1(X1))),X1)|~relation(X1))). 31.61/6.37 cnf(i_0_1775, plain, (in(esk272_3(X1,X2,X3),X2)|esk268_2(X1,X2)!=esk269_2(X1,X2)|~one_sorted_str(X1)|~in(X3,esk270_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_727, lemma, (esk99_2(X1,X2)=esk96_2(X1,X2)|empty(X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2)))). 31.61/6.37 cnf(i_0_679, lemma, (esk100_2(X1,X2)=esk96_2(X1,X2)|empty(X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2)))). 31.61/6.37 cnf(i_0_872, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|relation(esk125_2(X1,X2))|empty(X1)|in(esk123_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_444, plain, (element(esk65_2(X1,X2),powerset(the_carrier(X1)))|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_2253, plain, (esk328_2(X1,X2)=esk330_2(X1,X2)|esk336_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2190, plain, (esk331_2(X1,X2)=esk333_2(X1,X2)|esk336_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_300, lemma, (relation(esk52_2(X1,X2))|element(esk51_3(X1,X2,X3),powerset(the_carrier(X1)))|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_927, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk123_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_949, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(esk123_2(X1,X2),X1)|in(esk118_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_1907, lemma, (in(esk291_3(X1,X2,X3),X2)|~ordinal(X1)|~in(X3,esk290_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_542, lemma, (related(X1,X2,X3)|~related(X1,X4,X3)|~related(X1,X2,X4)|~rel_str(X1)|~transitive_relstr(X1)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~element(X2,the_carrier(X1)))). 31.61/6.37 cnf(i_0_2513, 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)))). 31.61/6.37 cnf(i_0_2509, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk380_3(X2,X3,X1),X1)|~in(esk380_3(X2,X3,X1),X3)|~in(esk380_3(X2,X3,X1),X2))). 31.61/6.37 cnf(i_0_873, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk123_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_2375, lemma, (relation(esk367_2(X1,X2))|element(esk366_3(X1,X2,X3),powerset(the_carrier(X1)))|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2754, lemma, (X1=empty_set|ordinal(esk392_0)|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_407, plain, (element(esk68_3(X1,X2,X3),powerset(the_carrier(X1)))|esk63_2(X1,X2)!=esk62_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_819, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk123_2(X1,X2),X1)|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2))). 31.61/6.37 cnf(i_0_670, lemma, (esk102_4(X1,X2,X3,X4)=X3|empty(X1)|esk98_2(X1,X2)!=esk97_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2)))). 31.61/6.37 cnf(i_0_3876, plain, (esk432_2(X1,X2)=esk433_2(X1,X2)|in(esk439_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_2648, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2720, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_305, lemma, (function(esk52_2(X1,X2))|in(esk50_2(X1,X2),X2)|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1914, plain, (apply(X1,esk293_2(X1,X2))=esk292_2(X1,X2)|relation_rng(X1)=X2|in(esk292_2(X1,X2),X2)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_3900, plain, (esk432_2(X1,X2)=esk434_2(X1,X2)|in(esk439_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3906, plain, (esk435_2(X1,X2)=esk434_2(X1,X2)|in(esk439_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3888, plain, (esk436_2(X1,X2)=esk433_2(X1,X2)|in(esk439_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3912, plain, (in(esk439_3(X1,X2,X3),X1)|in(esk435_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3882, plain, (in(esk439_3(X1,X2,X3),X1)|in(esk436_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_529, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk75_1(X1),esk75_1(X1)),unordered_pair(esk75_1(X1),esk76_1(X1))),X1)|~relation(X1))). 31.61/6.37 cnf(i_0_3764, lemma, (X1=esk402_2(X2,X3)|X3=empty_set|ordinal(esk398_0)|~ordinal(X2)|~in(X2,omega)|~in(X1,X3)|~element(X3,powerset(powerset(X2)))|~subset(esk402_2(X2,X3),X1))). 31.61/6.37 cnf(i_0_646, plain, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|esk93_2(X1,X3)!=esk92_2(X1,X3)|~topological_space(X1)|~top_str(X1)|~in(X2,esk94_2(X1,X3))|~element(X3,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2470, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,apply(X2,X1))),X2)|~function(X2)|~relation(X2)|~in(X1,relation_dom(X2)))). 31.61/6.37 cnf(i_0_528, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk76_1(X1),esk76_1(X1)),unordered_pair(esk76_1(X1),esk77_1(X1))),X1)|~relation(X1))). 31.61/6.37 cnf(i_0_2141, plain, (empty(X1)|in(esk337_4(X1,X2,X3,X4),X1)|esk327_2(X1,X2)!=esk326_2(X1,X2)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_1926, plain, (in(esk306_4(X1,X2,X3,X4),X2)|esk298_2(X1,X2)!=esk297_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3833, lemma, (in(X1,esk424_1(X2))|esk428_4(X2,X1,X1,X3)!=X3|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk427_3(X2,X1,X1)))). 31.61/6.37 cnf(i_0_1832, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk275_1(X1),esk275_1(X1)),unordered_pair(esk275_1(X1),esk276_1(X1))),X1)|~relation(X1))). 31.61/6.37 cnf(i_0_1781, plain, (in(esk272_3(X1,X2,X3),X2)|in(esk267_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X3,esk270_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1833, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk275_1(X1),esk276_1(X1)),unordered_pair(esk276_1(X1),esk276_1(X1))),X1)|~relation(X1))). 31.61/6.37 cnf(i_0_1080, lemma, (empty_set=X1|in(apply(X2,X3),relation_rng(X2))|~function(X2)|~quasi_total(X2,X4,X1)|~relation_of2_as_subset(X2,X4,X1)|~in(X3,X4))). 31.61/6.37 cnf(i_0_1778, plain, (in(X1,esk270_2(X2,X3))|subset_complement(the_carrier(X2),esk271_4(X2,X3,X1,X4))!=X1|esk268_2(X2,X3)!=esk269_2(X2,X3)|~one_sorted_str(X2)|~in(X4,X3)|~element(X3,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_1470, plain, (in(X1,esk236_1(X2))|esk237_4(X2,X1,X1,X1)!=empty_set|esk231_1(X2)!=esk230_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))). 31.61/6.37 cnf(i_0_945, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk123_2(X1,X2),X1)|in(esk118_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_3770, lemma, (in(esk404_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk403_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2329, 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)))). 31.61/6.37 cnf(i_0_2272, 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)))). 31.61/6.37 cnf(i_0_186, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk33_1(X2))|esk31_1(X2)!=esk32_1(X2)|~in(X1,X2))). 31.61/6.37 cnf(i_0_2507, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk380_3(X2,X3,X1),X2)|in(esk380_3(X2,X3,X1),X1))). 31.61/6.37 cnf(i_0_779, plain, (complements_of_subsets(X1,X2)=X3|~in(subset_complement(X1,esk112_3(X1,X2,X3)),X2)|~in(esk112_3(X1,X2,X3),X3)|~element(X3,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_3786, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(esk409_3(X2,X1,X3),X4),unordered_pair(esk409_3(X2,X1,X3),esk409_3(X2,X1,X3))),X3))). 31.61/6.37 cnf(i_0_1895, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(X1,fiber(X3,X2)))). 31.61/6.37 cnf(i_0_854, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(esk119_2(X1,X2),esk122_2(X1,X2))|in(esk123_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_2664, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|esk386_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_908, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(esk120_2(X1,X2),esk121_2(X1,X2))|in(esk123_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_573, plain, (relation_inverse_image(X1,X2)=X3|~function(X1)|~relation(X1)|~in(apply(X1,esk79_3(X1,X2,X3)),X2)|~in(esk79_3(X1,X2,X3),relation_dom(X1))|~in(esk79_3(X1,X2,X3),X3))). 31.61/6.37 cnf(i_0_2281, plain, (relation_image(X1,X2)=X3|~relation(X1)|~in(unordered_pair(unordered_pair(X4,esk342_3(X1,X2,X3)),unordered_pair(X4,X4)),X1)|~in(esk342_3(X1,X2,X3),X3)|~in(X4,X2))). 31.61/6.37 cnf(i_0_248, plain, (esk44_3(X1,X2,X3)=X3|esk40_2(X1,X2)!=esk39_2(X1,X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_859, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(esk119_2(X1,X2),esk122_2(X1,X2))|in(esk123_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_781, plain, (in(X1,complements_of_subsets(X2,X3))|~in(subset_complement(X2,X1),X3)|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2)))). 31.61/6.37 cnf(i_0_2736, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_306, lemma, (relation_dom(esk52_2(X1,X2))=X2|in(esk50_2(X1,X2),X2)|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3458, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_913, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(esk120_2(X1,X2),esk121_2(X1,X2))|in(esk123_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_1297, lemma, (in(apply(function_inverse(X1),X2),relation_dom(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)|~in(X2,relation_rng(X1)))). 31.61/6.37 cnf(i_0_1925, lemma, (empty_set=X1|in(X2,relation_inverse_image(X3,X4))|~function(X3)|~quasi_total(X3,X5,X1)|~relation_of2_as_subset(X3,X5,X1)|~in(apply(X3,X2),X4)|~in(X2,X5))). 31.61/6.37 cnf(i_0_1430, plain, (X1=relation_inverse_image(X2,X3)|in(esk224_3(X2,X3,X1),X3)|in(esk223_3(X2,X3,X1),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_758, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),identity_relation(X2))|~in(X1,X2))). 31.61/6.37 cnf(i_0_3350, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2630, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1085, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),the_InternalRel(X3))|~related(X3,X1,X2)|~rel_str(X3)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3)))). 31.61/6.37 cnf(i_0_2280, plain, (relation_image(X1,X2)=X3|in(esk343_3(X1,X2,X3),X2)|in(esk342_3(X1,X2,X3),X3)|~relation(X1))). 31.61/6.37 cnf(i_0_1299, lemma, (apply(function_inverse(X1),apply(X1,X2))=X2|~one_to_one(X1)|~function(X1)|~relation(X1)|~in(X2,relation_dom(X1)))). 31.61/6.37 cnf(i_0_855, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk119_2(X1,X2),esk122_2(X1,X2))|in(esk123_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_2363, lemma, (relation(esk367_2(X1,X2))|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2366, lemma, (function(esk367_2(X1,X2))|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3758, lemma, (X1=esk402_2(X2,X3)|X3=empty_set|in(esk398_0,omega)|~ordinal(X2)|~in(X2,omega)|~in(X1,X3)|~element(X3,powerset(powerset(X2)))|~subset(esk402_2(X2,X3),X1))). 31.61/6.37 cnf(i_0_411, plain, (in(esk67_3(X1,X2,X3),powerset(the_carrier(X1)))|esk63_2(X1,X2)!=esk62_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1419, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk218_2(X2,X3))|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))). 31.61/6.37 cnf(i_0_909, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk120_2(X1,X2),esk121_2(X1,X2))|in(esk123_2(X1,X2),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_362, lemma, (in(X1,X2)|~closed_subset(X2,X3)|~top_str(X3)|~in(X1,topstr_closure(X3,X4))|~in(X1,the_carrier(X3))|~element(X2,powerset(the_carrier(X3)))|~element(X4,powerset(the_carrier(X3)))|~subset(X4,X2))). 31.61/6.37 cnf(i_0_417, plain, (esk61_2(X1,X2)=esk62_2(X1,X2)|closed_subset(esk68_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1234, plain, (unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3))=esk181_3(X1,X2,X3)|esk171_1(X1)=esk172_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_452, plain, (esk61_2(X1,X2)=esk63_2(X1,X2)|closed_subset(esk68_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_480, plain, (esk64_2(X1,X2)=esk63_2(X1,X2)|closed_subset(esk68_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_438, plain, (esk65_2(X1,X2)=esk62_2(X1,X2)|closed_subset(esk68_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1731, lemma, (unordered_pair(X1,X1)=apply(esk262_1(X2),X1)|in(esk259_1(X2),X2)|~in(X1,X2))). 31.61/6.37 cnf(i_0_1210, plain, (unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3))=esk181_3(X1,X2,X3)|esk171_1(X1)=esk173_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_3872, plain, (in(esk438_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|esk434_2(X1,X2)!=esk433_2(X1,X2)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_2144, plain, (esk339_4(X1,X2,X3,X4)=esk337_4(X1,X2,X3,X4)|empty(X1)|esk327_2(X1,X2)!=esk326_2(X1,X2)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_1186, plain, (unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3))=esk181_3(X1,X2,X3)|esk173_1(X1)!=esk172_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_200, lemma, (unordered_pair(esk30_1(X1),esk30_1(X1))=esk32_1(X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk33_1(X1)))). 31.61/6.37 cnf(i_0_1281, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk188_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))). 31.61/6.37 cnf(i_0_190, lemma, (unordered_pair(esk30_1(X1),esk30_1(X1))=esk31_1(X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk33_1(X1)))). 31.61/6.37 cnf(i_0_2665, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|esk386_0!=empty_set|esk388_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2557, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|esk386_0!=empty_set|esk390_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_340, lemma, (relation(esk52_2(X1,X2))|in(esk47_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk51_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1723, lemma, (unordered_pair(esk259_1(X1),esk259_1(X1))=esk260_1(X1)|unordered_pair(X2,X2)=apply(esk262_1(X1),X2)|~in(X2,X1))). 31.61/6.37 cnf(i_0_127, lemma, (in(X1,complements_of_subsets(the_carrier(X2),X3))|esk22_2(X2,X3)!=esk23_2(X2,X3)|~one_sorted_str(X2)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk24_2(X2,X3))|~element(X3,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_1566, plain, (ordinal(esk232_1(X1))|in(X2,esk236_1(X1))|esk237_4(X1,X2,X2,X2)!=empty_set|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_2057, plain, (esk313_2(X1,X2)=esk310_2(X1,X2)|empty(X1)|in(X3,esk318_3(X1,X2,X3))|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_341, lemma, (function(esk52_2(X1,X2))|in(esk47_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk51_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_459, plain, (closed_subset(esk68_3(X1,X2,X3),X1)|element(esk64_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_445, plain, (closed_subset(esk68_3(X1,X2,X3),X1)|element(esk65_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_477, plain, (esk64_2(X1,X2)=esk63_2(X1,X2)|element(esk68_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1727, lemma, (unordered_pair(esk259_1(X1),esk259_1(X1))=esk261_1(X1)|unordered_pair(X2,X2)=apply(esk262_1(X1),X2)|~in(X2,X1))). 31.61/6.37 cnf(i_0_1482, plain, (ordinal(esk234_1(X1))|in(X2,esk236_1(X1))|esk237_4(X1,X2,X2,X2)!=empty_set|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_3795, plain, (relation_image(X1,X2)=X3|apply(X1,X4)!=esk411_3(X1,X2,X3)|~function(X1)|~relation(X1)|~in(esk411_3(X1,X2,X3),X3)|~in(X4,relation_dom(X1))|~in(X4,X2))). 31.61/6.37 cnf(i_0_2146, plain, (empty(X1)|in(esk336_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|esk327_2(X1,X2)!=esk326_2(X1,X2)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2043, plain, (esk314_2(X1,X2)=esk310_2(X1,X2)|empty(X1)|in(X3,esk318_3(X1,X2,X3))|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_435, plain, (esk65_2(X1,X2)=esk62_2(X1,X2)|element(esk68_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_2864, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk388_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2756, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk390_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2668, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|esk395_1(X3)!=X3|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2054, plain, (esk313_2(X1,X2)=esk310_2(X1,X2)|empty(X1)|in(esk317_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_3830, lemma, (empty(X1)|in(esk421_4(X1,X2,X3,X4),esk422_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk419_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_3750, lemma, (X1=esk402_2(X2,X3)|X3=empty_set|esk401_1(X4)!=X4|~ordinal(X2)|~in(X4,esk400_0)|~in(X2,omega)|~in(X1,X3)|~element(X3,powerset(powerset(X2)))|~subset(esk402_2(X2,X3),X1))). 31.61/6.37 cnf(i_0_1306, plain, (X1=cartesian_product2(X2,X3)|esk196_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk196_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))). 31.61/6.37 cnf(i_0_1848, plain, (in(X1,esk282_2(X2,X3))|subset_complement(the_carrier(X2),esk284_4(X2,X3,X1,X4))!=X1|esk280_2(X2,X3)!=esk281_2(X2,X3)|~one_sorted_str(X2)|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_2560, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|esk395_1(X3)!=X3|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2576, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|esk394_0!=empty_set|esk391_1(X3)!=X3|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_413, plain, (esk61_2(X1,X2)=esk62_2(X1,X2)|esk67_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_448, plain, (esk61_2(X1,X2)=esk63_2(X1,X2)|esk67_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_2040, plain, (esk314_2(X1,X2)=esk310_2(X1,X2)|empty(X1)|in(esk317_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_1908, lemma, (set_difference(esk291_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~in(X3,esk290_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_2022, plain, (empty(X1)|in(X2,esk318_3(X1,X3,X2))|in(esk310_2(X1,X3),X1)|~relation(X3)|~in(X2,esk315_2(X1,X3)))). 31.61/6.37 cnf(i_0_2154, plain, (esk325_2(X1,X2)=esk326_2(X1,X2)|esk336_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_782, plain, (in(subset_complement(X1,X2),X3)|~in(X2,complements_of_subsets(X1,X3))|~element(X3,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_476, plain, (esk64_2(X1,X2)=esk63_2(X1,X2)|esk67_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_434, plain, (esk65_2(X1,X2)=esk62_2(X1,X2)|esk67_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_415, plain, (esk61_2(X1,X2)=esk62_2(X1,X2)|esk68_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_2208, plain, (esk325_2(X1,X2)=esk327_2(X1,X2)|esk336_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2544, plain, (X1=set_difference(X2,X3)|in(esk382_3(X2,X3,X1),X3)|~in(esk382_3(X2,X3,X1),X1)|~in(esk382_3(X2,X3,X1),X2))). 31.61/6.37 cnf(i_0_450, plain, (esk61_2(X1,X2)=esk63_2(X1,X2)|esk68_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_478, plain, (esk64_2(X1,X2)=esk63_2(X1,X2)|esk68_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1222, plain, (unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3))=esk181_3(X1,X2,X3)|in(esk174_1(X1),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_436, plain, (esk65_2(X1,X2)=esk62_2(X1,X2)|esk68_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1342, plain, (apply_binary(the_L_meet(boole_lattice(X1)),X2,X3)=subset_intersection2(X1,X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))). 31.61/6.37 cnf(i_0_1343, plain, (apply_binary(the_L_join(boole_lattice(X1)),X2,X3)=subset_union2(X1,X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))). 31.61/6.37 cnf(i_0_1204, plain, (unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3))=esk181_3(X1,X2,X3)|in(esk176_1(X1),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_420, plain, (esk67_3(X1,X2,X3)=X3|subset(X2,esk62_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_462, plain, (esk67_3(X1,X2,X3)=X3|subset(X2,esk63_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_469, plain, (esk67_3(X1,X2,X3)=X3|closed_subset(esk64_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_427, plain, (esk67_3(X1,X2,X3)=X3|closed_subset(esk65_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_422, plain, (esk68_3(X1,X2,X3)=X3|subset(X2,esk62_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_464, plain, (esk68_3(X1,X2,X3)=X3|subset(X2,esk63_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_471, plain, (esk68_3(X1,X2,X3)=X3|closed_subset(esk64_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_429, plain, (esk68_3(X1,X2,X3)=X3|closed_subset(esk65_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_2551, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk383_3(X2,relation_dom(X2),X1))),X2)|~relation(X2)|~in(X1,relation_dom(X2)))). 31.61/6.37 cnf(i_0_1229, plain, (unordered_pair(esk174_1(X1),esk174_1(X1))=esk175_1(X1)|in(esk179_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_703, lemma, (empty(X1)|in(esk96_2(X1,X2),X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2)))). 31.61/6.37 cnf(i_0_2226, plain, (esk336_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk328_2(X1,X2),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2163, plain, (esk336_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk331_2(X1,X2),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_1199, plain, (unordered_pair(esk176_1(X1),esk176_1(X1))=esk177_1(X1)|in(esk179_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_353, lemma, (function(esk52_2(X1,X2))|in(esk50_2(X1,X2),X2)|in(esk47_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_301, lemma, (function(esk52_2(X1,X2))|element(esk51_3(X1,X2,X3),powerset(the_carrier(X1)))|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2378, lemma, (function(esk367_2(X1,X2))|element(esk366_3(X1,X2,X3),powerset(the_carrier(X1)))|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2055, plain, (esk317_3(X1,X2,X3)=esk318_3(X1,X2,X3)|esk313_2(X1,X2)=esk310_2(X1,X2)|empty(X1)|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_1590, plain, (esk229_1(X1)=esk230_1(X1)|in(X2,esk236_1(X1))|esk237_4(X1,X2,X2,X2)!=empty_set|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_1578, plain, (esk229_1(X1)=esk231_1(X1)|in(X2,esk236_1(X1))|esk237_4(X1,X2,X2,X2)!=empty_set|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_2041, plain, (esk317_3(X1,X2,X3)=esk318_3(X1,X2,X3)|esk314_2(X1,X2)=esk310_2(X1,X2)|empty(X1)|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_648, plain, (in(esk95_3(X1,X2,X3),powerset(the_carrier(X1)))|esk93_2(X1,X2)!=esk92_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_662, plain, (esk91_2(X1,X2)=esk92_2(X1,X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_654, plain, (esk91_2(X1,X2)=esk93_2(X1,X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3530, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1292, lemma, (X1=function_inverse(X2)|in(esk191_2(X2,X1),relation_rng(X2))|in(esk190_2(X2,X1),relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~function(X1)|~function(X2)|~relation(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_3920, plain, (ordinal(esk435_2(X1,X2))|in(esk438_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_1554, plain, (esk231_1(X1)=esk232_1(X1)|in(X2,esk236_1(X1))|esk237_4(X1,X2,X2,X2)!=empty_set|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_1494, plain, (esk230_1(X1)=esk234_1(X1)|in(X2,esk236_1(X1))|esk237_4(X1,X2,X2,X2)!=empty_set|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_3896, plain, (ordinal(esk436_2(X1,X2))|in(esk438_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3474, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3366, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2646, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1851, plain, (in(esk283_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|esk280_2(X1,X2)!=esk281_2(X1,X2)|~one_sorted_str(X1)|~in(X3,esk282_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3512, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3793, plain, (relation_image(X1,X2)=X3|in(esk412_3(X1,X2,X3),X2)|in(esk411_3(X1,X2,X3),X3)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_249, plain, (in(esk45_3(X1,X2,X3),X2)|esk40_2(X1,X2)!=esk39_2(X1,X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_726, lemma, (esk99_2(X1,X2)=esk96_2(X1,X2)|esk102_4(X1,X2,X3,X4)=X3|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2)))). 31.61/6.37 cnf(i_0_678, lemma, (esk100_2(X1,X2)=esk96_2(X1,X2)|esk102_4(X1,X2,X3,X4)=X3|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2)))). 31.61/6.37 cnf(i_0_2291, plain, (in(esk353_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|esk347_3(X1,X2,X3)!=esk346_3(X1,X2,X3)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_354, lemma, (relation_dom(esk52_2(X1,X2))=X2|in(esk50_2(X1,X2),X2)|in(esk47_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_455, plain, (esk67_3(X1,X2,X3)=X3|element(esk64_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_441, plain, (esk67_3(X1,X2,X3)=X3|element(esk65_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_457, plain, (esk68_3(X1,X2,X3)=X3|element(esk64_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_3546, lemma, (X1=empty_set|ordinal(esk392_0)|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2020, plain, (esk317_3(X1,X2,X3)=esk318_3(X1,X2,X3)|empty(X1)|in(esk310_2(X1,X2),X1)|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_741, plain, (empty(X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~function(X2)|~function(X3)|~quasi_total(X2,cartesian_product2(X1,X1),X1)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~empty_carrier(latt_str_of(X1,X3,X2)))). 31.61/6.37 cnf(i_0_663, plain, (esk91_2(X1,X2)=esk92_2(X1,X2)|esk95_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_655, plain, (esk91_2(X1,X2)=esk93_2(X1,X2)|esk95_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2508, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk380_3(X2,X3,X1),X3)|in(esk380_3(X2,X3,X1),X1))). 31.61/6.37 cnf(i_0_443, plain, (esk68_3(X1,X2,X3)=X3|element(esk65_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_342, lemma, (relation_dom(esk52_2(X1,X2))=X2|in(esk47_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk51_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_628, plain, (in(subset_intersection2(the_carrier(X1),X2,X3),the_topology(X1))|~topological_space(X1)|~top_str(X1)|~in(X3,the_topology(X1))|~in(X2,the_topology(X1))|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_3756, lemma, (X1=esk402_2(X2,X3)|X3=empty_set|element(esk400_0,powerset(powerset(esk398_0)))|~ordinal(X2)|~in(X2,omega)|~in(X1,X3)|~element(X3,powerset(powerset(X2)))|~subset(esk402_2(X2,X3),X1))). 31.61/6.37 cnf(i_0_3528, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3878, plain, (esk432_2(X1,X2)=esk433_2(X1,X2)|in(esk438_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_2737, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2681, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2573, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_755, plain, (X1=identity_relation(X2)|esk107_2(X2,X1)!=esk106_2(X2,X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk106_2(X2,X1),esk106_2(X2,X1)),unordered_pair(esk106_2(X2,X1),esk107_2(X2,X1))),X1)|~in(esk106_2(X2,X1),X2))). 31.61/6.37 cnf(i_0_3902, plain, (esk432_2(X1,X2)=esk434_2(X1,X2)|in(esk438_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_199, lemma, (unordered_pair(esk30_1(X1),esk30_1(X1))=esk32_1(X1)|X2=unordered_pair(X3,X3)|~in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),esk33_1(X1)))). 31.61/6.37 cnf(i_0_189, lemma, (unordered_pair(esk30_1(X1),esk30_1(X1))=esk31_1(X1)|X2=unordered_pair(X3,X3)|~in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),esk33_1(X1)))). 31.61/6.37 cnf(i_0_162, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk22_2(X1,X2)|relation(esk24_2(X1,X2))|~one_sorted_str(X1)|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2936, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3908, plain, (esk435_2(X1,X2)=esk434_2(X1,X2)|in(esk438_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_1475, plain, (in(X1,esk236_1(X2))|in(X1,omega)|esk231_1(X2)!=esk230_1(X2)|~ordinal(X2)|~ordinal(X1)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))). 31.61/6.37 cnf(i_0_3842, lemma, (X1=empty_set|in(esk426_3(X2,X3,X1),X1)|~ordinal(X2)|~in(esk425_2(X2,X3),omega)|~in(X3,esk424_1(X2))|~element(X1,powerset(powerset(esk425_2(X2,X3)))))). 31.61/6.37 cnf(i_0_1468, plain, (empty_set=X1|in(esk241_3(X2,X3,X1),X1)|esk231_1(X2)!=esk230_1(X2)|~ordinal(X2)|~in(esk240_2(X2,X3),omega)|~in(X3,esk236_1(X2))|~element(X1,powerset(powerset(esk240_2(X2,X3)))))). 31.61/6.37 cnf(i_0_3890, plain, (esk436_2(X1,X2)=esk433_2(X1,X2)|in(esk438_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_155, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk22_2(X1,X2)|function(esk24_2(X1,X2))|~one_sorted_str(X1)|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1008, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk136_2(X1,X2)|relation(esk137_2(X1,X2))|~one_sorted_str(X1)|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2740, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|esk395_1(X3)!=X3|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_948, lemma, (esk126_3(X1,X2,X3)=X3|in(esk123_2(X1,X2),X1)|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))). 31.61/6.37 cnf(i_0_253, plain, (esk38_2(X1,X2)=esk39_2(X1,X2)|esk44_3(X1,X2,X3)=X3|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_258, plain, (esk38_2(X1,X2)=esk40_2(X1,X2)|esk44_3(X1,X2,X3)=X3|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_1930, plain, (in(esk305_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|esk298_2(X1,X2)!=esk297_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_822, lemma, (esk126_3(X1,X2,X3)=X3|in(esk123_2(X1,X2),X1)|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(X3,X1))). 31.61/6.37 cnf(i_0_1654, plain, (unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))=ordered_pair_as_product_element(X3,X4,X1,X2)|empty(X3)|empty(X4)|~element(X1,X3)|~element(X2,X4))). 31.61/6.37 cnf(i_0_154, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk23_2(X1,X2)|relation(esk24_2(X1,X2))|~one_sorted_str(X1)|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_147, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk23_2(X1,X2)|function(esk24_2(X1,X2))|~one_sorted_str(X1)|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2880, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_572, plain, (relation_inverse_image(X1,X2)=X3|in(esk79_3(X1,X2,X3),relation_dom(X1))|in(esk79_3(X1,X2,X3),X3)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_1779, plain, (esk271_4(X1,X2,X3,X4)=X4|in(X3,esk270_2(X1,X2))|esk268_2(X1,X2)!=esk269_2(X1,X2)|~one_sorted_str(X1)|~in(X4,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2004, lemma, (in(X1,esk308_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~subset(X3,X1))). 31.61/6.37 cnf(i_0_3794, plain, (relation_image(X1,X2)=X3|in(esk412_3(X1,X2,X3),relation_dom(X1))|in(esk411_3(X1,X2,X3),X3)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_1000, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk135_2(X1,X2)|relation(esk137_2(X1,X2))|~one_sorted_str(X1)|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2772, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2592, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|esk391_1(X3)!=X3|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2459, plain, (inclusion_relation(relation_field(X1))=X1|~relation(X1)|~in(unordered_pair(unordered_pair(esk370_2(relation_field(X1),X1),esk370_2(relation_field(X1),X1)),unordered_pair(esk370_2(relation_field(X1),X1),esk371_2(relation_field(X1),X1))),X1)|~subset(esk370_2(relation_field(X1),X1),esk371_2(relation_field(X1),X1)))). 31.61/6.37 cnf(i_0_1165, plain, (unordered_pair(unordered_pair(esk168_2(X1,X2),esk168_2(X1,X2)),unordered_pair(esk168_2(X1,X2),esk169_2(X1,X2)))=X2|~relation(X1)|~in(X2,X1))). 31.61/6.37 cnf(i_0_3932, lemma, (in(X1,esk443_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~subset(X3,X1))). 31.61/6.37 cnf(i_0_296, lemma, (esk50_2(X1,X2)=esk51_3(X1,X2,X3)|relation(esk52_2(X1,X2))|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2371, lemma, (esk366_3(X1,X2,X3)=esk365_2(X1,X2)|relation(esk367_2(X1,X2))|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3751, lemma, (X1=empty_set|in(esk402_2(X2,X1),X1)|in(esk401_1(X3),esk400_0)|~ordinal(X2)|~in(X3,esk400_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3753, lemma, (X1=empty_set|in(esk402_2(X2,X1),X1)|subset(X3,esk401_1(X3))|~ordinal(X2)|~in(X3,esk400_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_806, lemma, (relation(esk125_2(X1,X2))|empty(X1)|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_196, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk33_1(X2))|in(esk30_1(X2),X2)|~in(X1,X2))). 31.61/6.37 cnf(i_0_1013, lemma, (in(esk134_2(X1,X2),X2)|in(X3,X2)|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk137_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_74, plain, (esk1_2(X1,X2)=esk2_2(X1,X2)|esk9_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_66, plain, (esk1_2(X1,X2)=esk3_2(X1,X2)|esk9_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_302, lemma, (relation_dom(esk52_2(X1,X2))=X2|element(esk51_3(X1,X2,X3),powerset(the_carrier(X1)))|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_418, plain, (esk61_2(X1,X2)=esk62_2(X1,X2)|in(esk67_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_453, plain, (esk61_2(X1,X2)=esk63_2(X1,X2)|in(esk67_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_481, plain, (esk64_2(X1,X2)=esk63_2(X1,X2)|in(esk67_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_811, lemma, (function(esk125_2(X1,X2))|empty(X1)|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_1937, plain, (esk296_2(X1,X2)=esk297_2(X1,X2)|esk305_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1993, plain, (esk296_2(X1,X2)=esk298_2(X1,X2)|esk305_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1969, plain, (esk305_4(X1,X2,X3,X4)=X4|in(esk299_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1961, plain, (esk305_4(X1,X2,X3,X4)=X4|in(esk301_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2150, plain, (esk325_2(X1,X2)=esk326_2(X1,X2)|empty(X1)|in(esk337_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_439, plain, (esk65_2(X1,X2)=esk62_2(X1,X2)|in(esk67_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_3440, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_297, lemma, (esk50_2(X1,X2)=esk51_3(X1,X2,X3)|function(esk52_2(X1,X2))|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2918, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2204, plain, (esk325_2(X1,X2)=esk327_2(X1,X2)|empty(X1)|in(esk337_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_1432, plain, (X1=relation_inverse_image(X2,X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk223_3(X2,X3,X1),X4),unordered_pair(esk223_3(X2,X3,X1),esk223_3(X2,X3,X1))),X2)|~in(esk223_3(X2,X3,X1),X1)|~in(X4,X3))). 31.61/6.37 cnf(i_0_3843, lemma, (X1=esk426_3(X2,X3,X4)|X4=empty_set|~ordinal(X2)|~in(esk425_2(X2,X3),omega)|~in(X3,esk424_1(X2))|~in(X1,X4)|~element(X4,powerset(powerset(esk425_2(X2,X3))))|~subset(esk426_3(X2,X3,X4),X1))). 31.61/6.37 cnf(i_0_2249, plain, (esk328_2(X1,X2)=esk330_2(X1,X2)|empty(X1)|in(esk337_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2463, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),inclusion_relation(X3))|~in(X2,X3)|~in(X1,X3)|~subset(X1,X2))). 31.61/6.37 cnf(i_0_649, plain, (in(X1,esk94_2(X2,X3))|esk93_2(X2,X3)!=esk92_2(X2,X3)|~topological_space(X2)|~top_str(X2)|~in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_2374, lemma, (esk366_3(X1,X2,X3)=esk365_2(X1,X2)|function(esk367_2(X1,X2))|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1124, plain, (disjoint(X1,esk156_4(X2,X1,topstr_closure(X2,X1),X3))|in(X3,topstr_closure(X2,X1))|~top_str(X2)|~in(X3,the_carrier(X2))|~element(X1,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_2186, plain, (esk331_2(X1,X2)=esk333_2(X1,X2)|empty(X1)|in(esk337_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_424, plain, (closed_subset(esk68_3(X1,X2,X3),X1)|subset(X2,esk62_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_466, plain, (closed_subset(esk68_3(X1,X2,X3),X1)|subset(X2,esk63_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_473, plain, (closed_subset(esk68_3(X1,X2,X3),X1)|closed_subset(esk64_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_431, plain, (closed_subset(esk68_3(X1,X2,X3),X1)|closed_subset(esk65_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_2365, lemma, (relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1429, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk225_4(X2,X3,relation_inverse_image(X2,X3),X1))),X2)|~relation(X2)|~in(X1,relation_inverse_image(X2,X3)))). 31.61/6.37 cnf(i_0_2222, plain, (empty(X1)|in(esk337_4(X1,X2,X3,X4),X1)|in(esk328_2(X1,X2),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_978, plain, (esk128_3(X1,X2,X3)=esk129_3(X1,X2,X3)|in(relation_image(X3,X4),X2)|~function(X3)|~relation(X3)|~in(X4,esk131_3(X1,X2,X3))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_974, plain, (esk128_3(X1,X2,X3)=esk130_3(X1,X2,X3)|in(relation_image(X3,X4),X2)|~function(X3)|~relation(X3)|~in(X4,esk131_3(X1,X2,X3))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_2159, plain, (empty(X1)|in(esk337_4(X1,X2,X3,X4),X1)|in(esk331_2(X1,X2),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_370, 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))). 31.61/6.37 cnf(i_0_2155, plain, (esk325_2(X1,X2)=esk326_2(X1,X2)|empty(X1)|in(esk336_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2753, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|ordinal(esk388_0)|esk386_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2647, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1123, plain, (in(X1,esk156_4(X2,X3,topstr_closure(X2,X3),X1))|in(X1,topstr_closure(X2,X3))|~top_str(X2)|~in(X1,the_carrier(X2))|~element(X3,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_2209, plain, (esk325_2(X1,X2)=esk327_2(X1,X2)|empty(X1)|in(esk336_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2297, plain, (esk345_3(X1,X2,X3)=esk346_3(X1,X2,X3)|esk353_4(X1,X2,X3,X4)=X4|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2322, plain, (esk345_3(X1,X2,X3)=esk347_3(X1,X2,X3)|esk353_4(X1,X2,X3,X4)=X4|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_251, plain, (in(esk44_3(X1,X2,X3),powerset(X1))|esk40_2(X1,X2)!=esk39_2(X1,X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_2254, plain, (esk328_2(X1,X2)=esk330_2(X1,X2)|empty(X1)|in(esk336_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2719, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2952, lemma, (X1=empty_set|ordinal(esk392_0)|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1125, plain, (open_subset(esk156_4(X1,X2,topstr_closure(X1,X2),X3),X1)|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~in(X3,the_carrier(X1))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_2191, plain, (esk331_2(X1,X2)=esk333_2(X1,X2)|empty(X1)|in(esk336_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_1471, plain, (in(X1,esk236_1(X2))|esk238_5(X2,X1,X1,X1,X3)!=X3|esk231_1(X2)!=esk230_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk237_4(X2,X1,X1,X1)))). 31.61/6.37 cnf(i_0_1118, plain, (X1=topstr_closure(X2,X3)|disjoint(X3,esk158_3(X2,X3,X1))|~top_str(X2)|~in(esk157_3(X2,X3,X1),X1)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_1119, plain, (X1=topstr_closure(X2,X3)|open_subset(esk158_3(X2,X3,X1),X2)|~top_str(X2)|~in(esk157_3(X2,X3,X1),X1)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_669, lemma, (empty(X1)|in(X2,esk102_4(X1,X3,X4,X2))|esk98_2(X1,X3)!=esk97_2(X1,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),esk101_2(X1,X3)))). 31.61/6.37 cnf(i_0_298, lemma, (esk50_2(X1,X2)=esk51_3(X1,X2,X3)|relation_dom(esk52_2(X1,X2))=X2|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2846, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|esk387_1(X3)!=X3|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2650, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|esk395_1(X3)!=X3|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2722, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|esk395_1(X3)!=X3|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1126, plain, (in(X1,topstr_closure(X2,X3))|element(esk156_4(X2,X3,topstr_closure(X2,X3),X1),powerset(the_carrier(X2)))|~top_str(X2)|~in(X1,the_carrier(X2))|~element(X3,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_2227, plain, (empty(X1)|in(esk336_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk328_2(X1,X2),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2466, plain, (latt_str(latt_str_of(X1,X2,X3))|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~function(X3)|~function(X2)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~quasi_total(X2,cartesian_product2(X1,X1),X1))). 31.61/6.37 cnf(i_0_2465, plain, (strict_latt_str(latt_str_of(X1,X2,X3))|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~function(X3)|~function(X2)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~quasi_total(X2,cartesian_product2(X1,X1),X1))). 31.61/6.37 cnf(i_0_2164, plain, (empty(X1)|in(esk336_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk331_2(X1,X2),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2143, plain, (empty(X1)|in(esk338_4(X1,X2,X3,X4),esk339_4(X1,X2,X3,X4))|esk327_2(X1,X2)!=esk326_2(X1,X2)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_930, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|esk126_3(X1,X2,X3)=X3|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))). 31.61/6.37 cnf(i_0_664, plain, (esk91_2(X1,X2)=esk92_2(X1,X2)|in(esk95_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_656, plain, (esk91_2(X1,X2)=esk93_2(X1,X2)|in(esk95_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3456, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1291, lemma, (apply(X1,esk191_2(X2,X1))=esk192_2(X2,X1)|X1=function_inverse(X2)|in(esk190_2(X2,X1),relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~function(X1)|~function(X2)|~relation(X1)|~relation(X2))). 31.61/6.37 cnf(i_0_876, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|esk126_3(X1,X2,X3)=X3|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))). 31.61/6.37 cnf(i_0_2863, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|esk387_1(X4)!=X4|esk388_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2755, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|esk387_1(X4)!=X4|esk390_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2667, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|esk395_1(X4)!=X4|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_344, lemma, (esk50_2(X1,X2)=esk51_3(X1,X2,X3)|relation(esk52_2(X1,X2))|in(esk47_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1120, plain, (X1=topstr_closure(X2,X3)|element(esk158_3(X2,X3,X1),powerset(the_carrier(X2)))|~top_str(X2)|~in(esk157_3(X2,X3,X1),X1)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_414, plain, (esk61_2(X1,X2)=esk62_2(X1,X2)|element(esk68_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_449, plain, (esk61_2(X1,X2)=esk63_2(X1,X2)|element(esk68_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_3422, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_807, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2071, plain, (empty(X1)|in(esk311_2(X1,X2),esk313_2(X1,X2))|in(X3,esk318_3(X1,X2,X3))|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_2559, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|esk395_1(X4)!=X4|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2575, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|esk386_0!=empty_set|esk394_0!=empty_set|esk391_1(X4)!=X4|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1571, plain, (ordinal(esk232_1(X1))|in(X2,esk236_1(X1))|in(X2,omega)|~ordinal(X1)|~ordinal(X2)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_2029, plain, (empty(X1)|in(esk312_2(X1,X2),esk314_2(X1,X2))|in(X3,esk318_3(X1,X2,X3))|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_348, lemma, (relation(esk52_2(X1,X2))|in(esk47_2(X1,X2),X2)|element(esk51_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_421, plain, (element(esk68_3(X1,X2,X3),powerset(the_carrier(X1)))|subset(X2,esk62_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_463, plain, (element(esk68_3(X1,X2,X3),powerset(the_carrier(X1)))|subset(X2,esk63_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_470, plain, (closed_subset(esk64_2(X1,X2),X1)|element(esk68_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1295, lemma, (apply(X1,esk190_2(X1,X2))=esk189_2(X1,X2)|X2=function_inverse(X1)|in(esk191_2(X1,X2),relation_rng(X1))|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1))). 31.61/6.37 cnf(i_0_2068, plain, (empty(X1)|in(esk311_2(X1,X2),esk313_2(X1,X2))|in(esk317_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_1487, plain, (ordinal(esk234_1(X1))|in(X2,esk236_1(X1))|in(X2,omega)|~ordinal(X1)|~ordinal(X2)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_250, plain, (set_difference(esk45_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk40_2(X1,X2)!=esk39_2(X1,X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_1564, plain, (empty_set=X1|ordinal(esk232_1(X2))|in(esk241_3(X2,X3,X1),X1)|~ordinal(X2)|~in(esk240_2(X2,X3),omega)|~in(X3,esk236_1(X2))|~element(X1,powerset(powerset(esk240_2(X2,X3)))))). 31.61/6.37 cnf(i_0_428, plain, (closed_subset(esk65_2(X1,X2),X1)|element(esk68_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1513, plain, (esk239_2(X1,X2)=X2|X3=empty_set|in(esk235_2(X1,X3),X3)|~ordinal(X1)|~in(esk234_1(X1),omega)|~in(X2,esk236_1(X1))|~element(X3,powerset(powerset(esk234_1(X1)))))). 31.61/6.37 cnf(i_0_1515, plain, (esk240_2(X1,X2)=X2|X3=empty_set|in(esk235_2(X1,X3),X3)|~ordinal(X1)|~in(esk234_1(X1),omega)|~in(X2,esk236_1(X1))|~element(X3,powerset(powerset(esk234_1(X1)))))). 31.61/6.37 cnf(i_0_1525, plain, (esk239_2(X1,X2)=X2|empty_set=X3|in(esk233_2(X1,X3),X3)|~ordinal(X1)|~in(esk232_1(X1),omega)|~in(X2,esk236_1(X1))|~element(X3,powerset(powerset(esk232_1(X1)))))). 31.61/6.37 cnf(i_0_2934, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2026, plain, (empty(X1)|in(esk312_2(X1,X2),esk314_2(X1,X2))|in(esk317_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_1480, plain, (empty_set=X1|ordinal(esk234_1(X2))|in(esk241_3(X2,X3,X1),X1)|~ordinal(X2)|~in(esk240_2(X2,X3),omega)|~in(X3,esk236_1(X2))|~element(X1,powerset(powerset(esk240_2(X2,X3)))))). 31.61/6.37 cnf(i_0_254, plain, (esk38_2(X1,X2)=esk39_2(X1,X2)|in(esk45_3(X1,X2,X3),X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_259, plain, (esk38_2(X1,X2)=esk40_2(X1,X2)|in(esk45_3(X1,X2,X3),X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_960, plain, (in(esk132_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|esk130_3(X1,X2,X3)!=esk129_3(X1,X2,X3)|~function(X3)|~relation(X3)|~in(X4,esk131_3(X1,X2,X3))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_1527, plain, (esk240_2(X1,X2)=X2|empty_set=X3|in(esk233_2(X1,X3),X3)|~ordinal(X1)|~in(esk232_1(X1),omega)|~in(X2,esk236_1(X1))|~element(X3,powerset(powerset(esk232_1(X1)))))). 31.61/6.37 cnf(i_0_12, plain, (in(esk10_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|esk3_2(X1,X2)!=esk2_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1294, lemma, (apply(X1,esk190_2(X1,X2))=esk189_2(X1,X2)|apply(X2,esk191_2(X1,X2))=esk192_2(X1,X2)|X2=function_inverse(X1)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1))). 31.61/6.37 cnf(i_0_2244, plain, (esk336_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk329_2(X1,X2),esk330_2(X1,X2))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_1595, plain, (esk229_1(X1)=esk230_1(X1)|in(X2,esk236_1(X1))|in(X2,omega)|~ordinal(X1)|~ordinal(X2)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_1583, plain, (esk229_1(X1)=esk231_1(X1)|in(X2,esk236_1(X1))|in(X2,omega)|~ordinal(X1)|~ordinal(X2)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_2172, plain, (esk336_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk332_2(X1,X2),esk333_2(X1,X2))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2663, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk388_0,omega)|esk386_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1780, plain, (in(X1,esk270_2(X2,X3))|element(esk271_4(X2,X3,X1,X4),powerset(the_carrier(X2)))|esk268_2(X2,X3)!=esk269_2(X2,X3)|~one_sorted_str(X2)|~in(X4,X3)|~element(X3,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_2735, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|ordinal(esk392_0)|esk386_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3260, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk388_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_571, plain, (relation_inverse_image(X1,X2)=X3|in(apply(X1,esk79_3(X1,X2,X3)),X2)|in(esk79_3(X1,X2,X3),X3)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_1559, plain, (esk231_1(X1)=esk232_1(X1)|in(X2,esk236_1(X1))|in(X2,omega)|~ordinal(X1)|~ordinal(X2)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_1499, plain, (esk230_1(X1)=esk234_1(X1)|in(X2,esk236_1(X1))|in(X2,omega)|~ordinal(X1)|~ordinal(X2)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_1189, plain, (unordered_pair(unordered_pair(esk176_1(X1),esk176_1(X1)),unordered_pair(esk176_1(X1),esk177_1(X1)))=esk172_1(X1)|esk179_3(X1,X2,X3)=X3|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_456, plain, (element(esk68_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk64_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_442, plain, (element(esk68_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk65_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_2862, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|esk387_1(X3)!=X3|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3152, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk390_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1213, plain, (unordered_pair(unordered_pair(esk174_1(X1),esk174_1(X1)),unordered_pair(esk174_1(X1),esk175_1(X1)))=esk173_1(X1)|esk179_3(X1,X2,X3)=X3|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_1849, plain, (esk284_4(X1,X2,X3,X4)=X4|in(X3,esk282_2(X1,X2))|esk280_2(X1,X2)!=esk281_2(X1,X2)|~one_sorted_str(X1)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_702, lemma, (esk102_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk96_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2)))). 31.61/6.37 cnf(i_0_2069, plain, (esk317_3(X1,X2,X3)=esk318_3(X1,X2,X3)|empty(X1)|in(esk311_2(X1,X2),esk313_2(X1,X2))|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_1001, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk136_2(X1,X2)|function(esk137_2(X1,X2))|~one_sorted_str(X1)|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_812, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_993, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk135_2(X1,X2)|function(esk137_2(X1,X2))|~one_sorted_str(X1)|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3873, plain, (in(X1,esk437_2(X2,X3))|esk434_2(X2,X3)!=esk433_2(X2,X3)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))). 31.61/6.37 cnf(i_0_1552, plain, (esk231_1(X1)=esk232_1(X1)|empty_set=X2|in(esk241_3(X1,X3,X2),X2)|~ordinal(X1)|~in(esk240_2(X1,X3),omega)|~in(X3,esk236_1(X1))|~element(X2,powerset(powerset(esk240_2(X1,X3)))))). 31.61/6.37 cnf(i_0_1492, plain, (esk230_1(X1)=esk234_1(X1)|empty_set=X2|in(esk241_3(X1,X3,X2),X2)|~ordinal(X1)|~in(esk240_2(X1,X3),omega)|~in(X3,esk236_1(X1))|~element(X2,powerset(powerset(esk240_2(X1,X3)))))). 31.61/6.37 cnf(i_0_2027, plain, (esk317_3(X1,X2,X3)=esk318_3(X1,X2,X3)|empty(X1)|in(esk312_2(X1,X2),esk314_2(X1,X2))|~relation(X2)|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_3457, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3349, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2629, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3460, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X3)!=X3|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2612, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2153, plain, (esk339_4(X1,X2,X3,X4)=esk337_4(X1,X2,X3,X4)|esk325_2(X1,X2)=esk326_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2207, plain, (esk339_4(X1,X2,X3,X4)=esk337_4(X1,X2,X3,X4)|esk325_2(X1,X2)=esk327_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2252, plain, (esk339_4(X1,X2,X3,X4)=esk337_4(X1,X2,X3,X4)|esk328_2(X1,X2)=esk330_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2189, plain, (esk339_4(X1,X2,X3,X4)=esk337_4(X1,X2,X3,X4)|esk331_2(X1,X2)=esk333_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2225, plain, (esk339_4(X1,X2,X3,X4)=esk337_4(X1,X2,X3,X4)|empty(X1)|in(esk328_2(X1,X2),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_3914, plain, (in(esk438_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk435_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_3352, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X3)!=X3|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2828, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X3)!=X3|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2632, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|esk395_1(X3)!=X3|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3368, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|esk391_1(X3)!=X3|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2670, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3884, plain, (in(esk438_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk436_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk437_2(X1,X2)))). 31.61/6.37 cnf(i_0_2162, plain, (esk339_4(X1,X2,X3,X4)=esk337_4(X1,X2,X3,X4)|empty(X1)|in(esk331_2(X1,X2),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_1934, plain, (esk296_2(X1,X2)=esk297_2(X1,X2)|in(esk306_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1990, plain, (esk296_2(X1,X2)=esk298_2(X1,X2)|in(esk306_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1966, plain, (in(esk306_4(X1,X2,X3,X4),X2)|in(esk299_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3792, plain, (apply(X1,esk412_3(X1,X2,X3))=esk411_3(X1,X2,X3)|relation_image(X1,X2)=X3|in(esk411_3(X1,X2,X3),X3)|~function(X1)|~relation(X1))). 31.61/6.37 cnf(i_0_2415, lemma, (relation(esk367_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk366_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2418, lemma, (function(esk367_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk366_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1853, plain, (subset_complement(the_carrier(X1),esk283_3(X1,X2,X3))=X3|esk280_2(X1,X2)!=esk281_2(X1,X2)|~one_sorted_str(X1)|~in(X3,esk282_2(X1,X2))|~element(esk283_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2562, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_858, lemma, (esk126_3(X1,X2,X3)=X3|in(esk119_2(X1,X2),esk122_2(X1,X2))|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))). 31.61/6.37 cnf(i_0_1958, plain, (in(esk306_4(X1,X2,X3,X4),X2)|in(esk301_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2866, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk395_1(X4)!=X4|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2758, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk395_1(X4)!=X4|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_912, lemma, (esk126_3(X1,X2,X3)=X3|in(esk120_2(X1,X2),esk121_2(X1,X2))|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))). 31.61/6.37 cnf(i_0_1777, plain, (subset_complement(the_carrier(X1),esk272_3(X1,X2,X3))=X3|esk268_2(X1,X2)!=esk269_2(X1,X2)|~one_sorted_str(X1)|~in(X3,esk270_2(X1,X2))|~element(esk272_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1514, plain, (X1=empty_set|ordinal(esk240_2(X2,X3))|in(esk235_2(X2,X1),X1)|~ordinal(X2)|~in(esk234_1(X2),omega)|~in(X3,esk236_1(X2))|~element(X1,powerset(powerset(esk234_1(X2)))))). 31.61/6.37 cnf(i_0_1526, plain, (empty_set=X1|ordinal(esk240_2(X2,X3))|in(esk233_2(X2,X1),X1)|~ordinal(X2)|~in(esk232_1(X2),omega)|~in(X3,esk236_1(X2))|~element(X1,powerset(powerset(esk232_1(X2)))))). 31.61/6.37 cnf(i_0_1909, lemma, (in(set_difference(X1,unordered_pair(X2,X2)),esk290_2(X2,X3))|~ordinal(X2)|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2))))))). 31.61/6.37 cnf(i_0_2411, lemma, (relation(esk367_2(X1,X2))|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2774, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk394_0!=empty_set|esk391_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2578, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|esk395_1(X3)!=X3|esk386_0!=empty_set|esk391_1(X4)!=X4|~ordinal(X2)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1324, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|X4=empty_set|~function(X2)|~function(X1)|~relation(X2)|~quasi_total(X1,X5,X4)|~relation_of2_as_subset(X1,X5,X4)|~in(X3,X5))). 31.61/6.37 cnf(i_0_2414, lemma, (function(esk367_2(X1,X2))|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3837, lemma, (in(X1,esk424_1(X2))|element(esk427_3(X2,X1,X1),powerset(powerset(X1)))|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))). 31.61/6.37 cnf(i_0_2377, lemma, (relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk366_3(X1,X2,X3),powerset(the_carrier(X1)))|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3062, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk388_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_114, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk16_2(X1,X2),esk16_2(X1,X2)),unordered_pair(esk16_2(X1,X2),esk17_2(X1,X2))),X1)|~relation(X1))). 31.61/6.37 cnf(i_0_2017, plain, (in(X1,esk315_2(X2,X3))|esk312_2(X2,X3)!=esk311_2(X2,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk316_5(X2,X3,X1,X4,X4))),X3)|~in(X4,X2)|~in(X1,X4))). 31.61/6.37 cnf(i_0_1173, plain, (X1=X2|latt_str_of(X3,X4,X1)!=latt_str_of(X5,X6,X2)|~relation_of2(X4,cartesian_product2(X3,X3),X3)|~relation_of2(X1,cartesian_product2(X3,X3),X3)|~function(X4)|~function(X1)|~quasi_total(X4,cartesian_product2(X3,X3),X3)|~quasi_total(X1,cartesian_product2(X3,X3),X3))). 31.61/6.37 cnf(i_0_1172, plain, (X1=X2|latt_str_of(X3,X2,X4)!=latt_str_of(X5,X1,X6)|~relation_of2(X4,cartesian_product2(X3,X3),X3)|~relation_of2(X2,cartesian_product2(X3,X3),X3)|~function(X4)|~function(X2)|~quasi_total(X4,cartesian_product2(X3,X3),X3)|~quasi_total(X2,cartesian_product2(X3,X3),X3))). 31.61/6.37 cnf(i_0_115, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk17_2(X1,X2),esk17_2(X1,X2)),unordered_pair(esk17_2(X1,X2),esk18_2(X1,X2))),X1)|~relation(X1))). 31.61/6.37 cnf(i_0_2954, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk390_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2594, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk391_1(X3))|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2672, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2564, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3332, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_374, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk56_2(X1,X2),esk56_2(X1,X2)),unordered_pair(esk56_2(X1,X2),esk57_2(X1,X2))),X1)|~relation(X1))). 31.61/6.37 cnf(i_0_1174, plain, (X1=X2|latt_str_of(X1,X3,X4)!=latt_str_of(X2,X5,X6)|~relation_of2(X4,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~function(X4)|~function(X3)|~quasi_total(X4,cartesian_product2(X1,X1),X1)|~quasi_total(X3,cartesian_product2(X1,X1),X1))). 31.61/6.37 cnf(i_0_1784, plain, (in(esk267_2(X1,X2),X2)|in(X3,esk270_2(X1,X2))|subset_complement(the_carrier(X1),esk271_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~in(X4,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_695, lemma, (empty(X1)|in(esk97_2(X1,X2),esk100_2(X1,X2))|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2)))). 31.61/6.37 cnf(i_0_375, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk56_2(X1,X2),esk57_2(X1,X2)),unordered_pair(esk57_2(X1,X2),esk57_2(X1,X2))),X1)|~relation(X1))). 31.61/6.37 cnf(i_0_3438, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_567, plain, (k10_filter_1(X1,X2,X3,X4)=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))|empty_carrier(X2)|empty_carrier(X1)|~latt_str(X1)|~latt_str(X2)|~lattice(X1)|~lattice(X2)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X2)))). 31.61/6.37 cnf(i_0_2742, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_711, lemma, (empty(X1)|in(esk98_2(X1,X2),esk99_2(X1,X2))|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2)))). 31.61/6.37 cnf(i_0_3785, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk410_4(X2,X3,X4,X1))),X4)|relation_dom_as_subset(X3,X2,X4)!=X3|~relation_of2_as_subset(X4,X3,X2)|~in(X1,X3))). 31.61/6.37 cnf(i_0_1469, plain, (X1=esk241_3(X2,X3,X4)|empty_set=X4|esk231_1(X2)!=esk230_1(X2)|~ordinal(X2)|~in(esk240_2(X2,X3),omega)|~in(X3,esk236_1(X2))|~in(X1,X4)|~element(X4,powerset(powerset(esk240_2(X2,X3))))|~subset(esk241_3(X2,X3,X4),X1))). 31.61/6.37 cnf(i_0_201, lemma, (unordered_pair(esk30_1(X1),esk30_1(X1))=esk32_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk33_1(X1))|~in(X2,X1))). 31.61/6.37 cnf(i_0_3529, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3473, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_163, 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))). 31.61/6.37 cnf(i_0_164, 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)))). 31.61/6.37 cnf(i_0_1567, plain, (ordinal(esk232_1(X1))|in(X2,esk236_1(X1))|esk238_5(X1,X2,X2,X2,X3)!=X3|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.37 cnf(i_0_1228, plain, (unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3))=esk181_3(X1,X2,X3)|unordered_pair(esk174_1(X1),esk174_1(X1))=esk175_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_3365, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2645, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_425, plain, (in(esk67_3(X1,X2,X3),powerset(the_carrier(X1)))|subset(X2,esk62_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_467, plain, (in(esk67_3(X1,X2,X3),powerset(the_carrier(X1)))|subset(X2,esk63_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_191, lemma, (unordered_pair(esk30_1(X1),esk30_1(X1))=esk31_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk33_1(X1))|~in(X2,X1))). 31.61/6.37 cnf(i_0_1198, plain, (unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3))=esk181_3(X1,X2,X3)|unordered_pair(esk176_1(X1),esk176_1(X1))=esk177_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_1483, plain, (ordinal(esk234_1(X1))|in(X2,esk236_1(X1))|esk238_5(X1,X2,X2,X2,X3)!=X3|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.37 cnf(i_0_1881, lemma, (relation_dom_restriction(X1,X2)=X3|apply(X1,esk285_3(X2,X3,X1))!=apply(X3,esk285_3(X2,X3,X1))|set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2))!=relation_dom(X3)|~function(X3)|~function(X1)|~relation(X3)|~relation(X1))). 31.61/6.37 cnf(i_0_278, plain, (esk44_3(X1,X2,X3)=X3|in(esk41_2(X1,X2),X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_389, plain, (set_union2(X1,X2)=X3|in(esk60_3(X1,X2,X3),X1)|in(esk60_3(X1,X2,X3),X2)|in(esk60_3(X1,X2,X3),X3))). 31.61/6.37 cnf(i_0_474, plain, (closed_subset(esk64_2(X1,X2),X1)|in(esk67_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_432, plain, (closed_subset(esk65_2(X1,X2),X1)|in(esk67_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_3532, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X3)!=X3|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2844, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X3)!=X3|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3276, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_345, lemma, (esk50_2(X1,X2)=esk51_3(X1,X2,X3)|function(esk52_2(X1,X2))|in(esk47_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_268, plain, (esk44_3(X1,X2,X3)=X3|in(esk42_2(X1,X2),X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_1938, plain, (esk296_2(X1,X2)=esk297_2(X1,X2)|in(esk305_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1994, plain, (esk296_2(X1,X2)=esk298_2(X1,X2)|in(esk305_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2296, plain, (esk345_3(X1,X2,X3)=esk346_3(X1,X2,X3)|in(esk353_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2373, lemma, (relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk366_3(X1,X2,X3)=esk365_2(X1,X2)|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3384, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk391_1(X3)!=X3|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1970, plain, (in(esk305_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|in(esk299_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1962, plain, (in(esk305_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|in(esk301_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_460, plain, (in(esk67_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk64_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_3168, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1785, plain, (esk271_4(X1,X2,X3,X4)=X4|in(esk267_2(X1,X2),X2)|in(X3,esk270_2(X1,X2))|~one_sorted_str(X1)|~in(X4,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2321, plain, (esk345_3(X1,X2,X3)=esk347_3(X1,X2,X3)|in(esk353_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2935, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|esk387_1(X4)!=X4|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2739, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|esk395_1(X4)!=X4|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2879, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|esk387_1(X4)!=X4|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_446, plain, (in(esk67_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk65_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk66_2(X1,X2))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_1850, plain, (in(X1,esk282_2(X2,X3))|element(esk284_4(X2,X3,X1,X4),powerset(the_carrier(X2)))|esk280_2(X2,X3)!=esk281_2(X2,X3)|~one_sorted_str(X2)|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2)))))). 31.61/6.37 cnf(i_0_1857, plain, (in(esk283_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|in(esk279_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X3,esk282_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2628, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2240, plain, (empty(X1)|in(esk329_2(X1,X2),esk330_2(X1,X2))|in(esk337_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2771, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|esk387_1(X4)!=X4|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2591, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|esk386_0!=empty_set|esk391_1(X4)!=X4|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_977, plain, (esk128_3(X1,X2,X3)=esk129_3(X1,X2,X3)|esk132_4(X1,X2,X3,X4)=X4|~function(X3)|~relation(X3)|~in(X4,esk131_3(X1,X2,X3))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_973, plain, (esk128_3(X1,X2,X3)=esk130_3(X1,X2,X3)|esk132_4(X1,X2,X3,X4)=X4|~function(X3)|~relation(X3)|~in(X4,esk131_3(X1,X2,X3))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_2168, plain, (empty(X1)|in(esk332_2(X1,X2),esk333_2(X1,X2))|in(esk337_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_76, plain, (esk1_2(X1,X2)=esk2_2(X1,X2)|in(esk10_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_68, plain, (esk1_2(X1,X2)=esk3_2(X1,X2)|in(esk10_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3314, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2152, plain, (esk325_2(X1,X2)=esk326_2(X1,X2)|empty(X1)|in(esk338_4(X1,X2,X3,X4),esk339_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_3754, lemma, (X1=esk402_2(X2,X3)|X3=empty_set|subset(X4,esk401_1(X4))|~ordinal(X2)|~in(X4,esk400_0)|~in(X2,omega)|~in(X1,X3)|~element(X3,powerset(powerset(X2)))|~subset(esk402_2(X2,X3),X1))). 31.61/6.37 cnf(i_0_3834, lemma, (in(X1,esk424_1(X2))|subset(X3,esk428_4(X2,X1,X1,X3))|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk427_3(X2,X1,X1)))). 31.61/6.37 cnf(i_0_2206, plain, (esk325_2(X1,X2)=esk327_2(X1,X2)|empty(X1)|in(esk338_4(X1,X2,X3,X4),esk339_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_3134, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2744, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3078, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2970, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_817, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2251, plain, (esk328_2(X1,X2)=esk330_2(X1,X2)|empty(X1)|in(esk338_4(X1,X2,X3,X4),esk339_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2188, plain, (esk331_2(X1,X2)=esk333_2(X1,X2)|empty(X1)|in(esk338_4(X1,X2,X3,X4),esk339_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2610, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk391_1(X3))|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2938, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2790, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk391_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_349, lemma, (function(esk52_2(X1,X2))|in(esk47_2(X1,X2),X2)|element(esk51_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_914, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|relation(esk125_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_242, plain, (esk37_4(X1,X2,X3,X4)=X1|esk37_4(X1,X2,X3,X4)=X3|esk37_4(X1,X2,X3,X4)=X2|X4=unordered_triple(X1,X2,X3)|in(esk37_4(X1,X2,X3,X4),X4))). 31.61/6.37 cnf(i_0_1122, plain, (~disjoint(X1,X2)|~open_subset(X2,X3)|~top_str(X3)|~in(X4,topstr_closure(X3,X1))|~in(X4,X2)|~element(X1,powerset(the_carrier(X3)))|~element(X2,powerset(the_carrier(X3))))). 31.61/6.37 cnf(i_0_1591, plain, (esk229_1(X1)=esk230_1(X1)|in(X2,esk236_1(X1))|esk238_5(X1,X2,X2,X2,X3)!=X3|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.37 cnf(i_0_346, lemma, (esk50_2(X1,X2)=esk51_3(X1,X2,X3)|relation_dom(esk52_2(X1,X2))=X2|in(esk47_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1117, plain, (X1=topstr_closure(X2,X3)|in(esk157_3(X2,X3,X1),esk158_3(X2,X3,X1))|~top_str(X2)|~in(esk157_3(X2,X3,X1),X1)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_3752, lemma, (X1=esk402_2(X2,X3)|X3=empty_set|in(esk401_1(X4),esk400_0)|~ordinal(X2)|~in(X4,esk400_0)|~in(X2,omega)|~in(X1,X3)|~element(X3,powerset(powerset(X2)))|~subset(esk402_2(X2,X3),X1))). 31.61/6.37 cnf(i_0_50, plain, (esk9_4(X1,X2,X3,X4)=X4|in(esk4_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_919, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|function(esk125_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_1191, plain, (unordered_pair(unordered_pair(esk176_1(X1),esk176_1(X1)),unordered_pair(esk176_1(X1),esk177_1(X1)))=esk172_1(X1)|in(esk180_3(X1,X2,X3),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_1579, plain, (esk229_1(X1)=esk231_1(X1)|in(X2,esk236_1(X1))|esk238_5(X1,X2,X2,X2,X3)!=X3|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.37 cnf(i_0_1555, plain, (esk231_1(X1)=esk232_1(X1)|in(X2,esk236_1(X1))|esk238_5(X1,X2,X2,X2,X3)!=X3|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.37 cnf(i_0_1215, plain, (unordered_pair(unordered_pair(esk174_1(X1),esk174_1(X1)),unordered_pair(esk174_1(X1),esk175_1(X1)))=esk173_1(X1)|in(esk180_3(X1,X2,X3),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_18, plain, (esk9_4(X1,X2,X3,X4)=X4|in(esk6_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2515, 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))). 31.61/6.37 cnf(i_0_3545, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|ordinal(esk388_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_860, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|relation(esk125_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2224, plain, (empty(X1)|in(esk338_4(X1,X2,X3,X4),esk339_4(X1,X2,X3,X4))|in(esk328_2(X1,X2),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_1495, plain, (esk230_1(X1)=esk234_1(X1)|in(X2,esk236_1(X1))|esk238_5(X1,X2,X2,X2,X3)!=X3|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.37 cnf(i_0_665, plain, (esk91_2(X1,X2)=esk92_2(X1,X2)|in(X3,esk94_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2161, plain, (empty(X1)|in(esk338_4(X1,X2,X3,X4),esk339_4(X1,X2,X3,X4))|in(esk331_2(X1,X2),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_3439, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1588, plain, (esk229_1(X1)=esk230_1(X1)|empty_set=X2|in(esk241_3(X1,X3,X2),X2)|~ordinal(X1)|~in(esk240_2(X1,X3),omega)|~in(X3,esk236_1(X1))|~element(X2,powerset(powerset(esk240_2(X1,X3)))))). 31.61/6.37 cnf(i_0_1576, plain, (esk229_1(X1)=esk231_1(X1)|empty_set=X2|in(esk241_3(X1,X3,X2),X2)|~ordinal(X1)|~in(esk240_2(X1,X3),omega)|~in(X3,esk236_1(X1))|~element(X2,powerset(powerset(esk240_2(X1,X3)))))). 31.61/6.37 cnf(i_0_865, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|function(esk125_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2413, lemma, (relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_657, plain, (esk91_2(X1,X2)=esk93_2(X1,X2)|in(X3,esk94_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2018, plain, (in(esk316_5(X1,X2,X3,X4,X4),X4)|in(X3,esk315_2(X1,X2))|esk312_2(X1,X2)!=esk311_2(X1,X2)|~relation(X2)|~in(X4,X1)|~in(X3,X4))). 31.61/6.37 cnf(i_0_350, lemma, (relation_dom(esk52_2(X1,X2))=X2|in(esk47_2(X1,X2),X2)|element(esk51_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3511, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3442, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X3)!=X3|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3514, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X3)!=X3|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2724, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_928, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|in(apply(esk125_2(X1,X2),X3),esk126_3(X1,X2,X3))|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))). 31.61/6.37 cnf(i_0_637, 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)))). 31.61/6.37 cnf(i_0_214, 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)))). 31.61/6.37 cnf(i_0_874, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|in(apply(esk125_2(X1,X2),X3),esk126_3(X1,X2,X3))|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))). 31.61/6.37 cnf(i_0_2417, lemma, (relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk366_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3348, lemma, (X1=empty_set|ordinal(esk392_0)|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3150, lemma, (X1=empty_set|ordinal(esk392_0)|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_659, plain, (esk95_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk92_2(X1,X2)),X2)|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3116, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_820, lemma, (in(apply(esk125_2(X1,X2),X3),esk126_3(X1,X2,X3))|in(esk123_2(X1,X2),X1)|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(X3,X1))). 31.61/6.37 cnf(i_0_966, plain, (in(relation_image(X1,esk129_3(X2,X3,X1)),X3)|in(relation_image(X1,X4),X3)|~function(X1)|~relation(X1)|~in(X4,esk131_3(X2,X3,X1))|~element(X3,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_970, plain, (in(relation_image(X1,esk130_3(X2,X3,X1)),X3)|in(relation_image(X1,X4),X3)|~function(X1)|~relation(X1)|~in(X4,esk131_3(X2,X3,X1))|~element(X3,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_256, plain, (esk38_2(X1,X2)=esk39_2(X1,X2)|in(esk44_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_3925, plain, (in(unordered_pair(unordered_pair(esk440_2(X1,X2),esk440_2(X1,X2)),unordered_pair(esk440_2(X1,X2),esk441_2(X1,X2))),X1)|subset(X1,X2)|~relation(X2)|~relation(X1))). 31.61/6.37 cnf(i_0_651, plain, (esk95_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk93_2(X1,X2)),X2)|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2726, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_946, lemma, (in(apply(esk125_2(X1,X2),X3),esk126_3(X1,X2,X3))|in(esk123_2(X1,X2),X1)|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))). 31.61/6.37 cnf(i_0_261, plain, (esk38_2(X1,X2)=esk40_2(X1,X2)|in(esk44_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_1293, lemma, (apply(X1,esk190_2(X1,X2))=esk189_2(X1,X2)|X2=function_inverse(X1)|apply(X1,esk192_2(X1,X2))!=esk191_2(X1,X2)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)|~in(esk192_2(X1,X2),relation_dom(X1)))). 31.61/6.37 cnf(i_0_2429, plain, (empty(X1)|empty(X2)|element(apply_binary_as_element(X1,X2,X3,X4,X5,X6),X3)|~relation_of2(X4,cartesian_product2(X1,X2),X3)|~function(X4)|~quasi_total(X4,cartesian_product2(X1,X2),X3)|~element(X6,X2)|~element(X5,X1))). 31.61/6.37 cnf(i_0_2419, lemma, (esk366_3(X1,X2,X3)=esk365_2(X1,X2)|relation(esk367_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_959, plain, (in(X1,esk131_3(X2,X3,X4))|esk130_3(X2,X3,X4)!=esk129_3(X2,X3,X4)|~function(X4)|~relation(X4)|~in(X1,powerset(relation_dom(X4)))|~in(relation_image(X4,X1),X3)|~element(X3,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3242, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|in(esk388_0,omega)|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2652, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk388_0,omega)|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3044, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|subset(X3,esk387_1(X3))|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3330, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2422, lemma, (esk366_3(X1,X2,X3)=esk365_2(X1,X2)|function(esk367_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_725, lemma, (esk99_2(X1,X2)=esk96_2(X1,X2)|empty(X1)|in(X3,esk102_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk101_2(X1,X2)))). 31.61/6.37 cnf(i_0_677, lemma, (esk100_2(X1,X2)=esk96_2(X1,X2)|empty(X1)|in(X3,esk102_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk101_2(X1,X2)))). 31.61/6.37 cnf(i_0_1899, plain, (esk287_3(X1,X2,X3)=X2|X3=fiber(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(X2,esk287_3(X1,X2,X3)),unordered_pair(esk287_3(X1,X2,X3),esk287_3(X1,X2,X3))),X1)|~in(esk287_3(X1,X2,X3),X3))). 31.61/6.37 cnf(i_0_2654, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|subset(X3,esk395_1(X3))|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1182, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk178_2(X2,X3))|esk173_1(X2)!=esk172_1(X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))). 31.61/6.37 cnf(i_0_1565, plain, (X1=esk241_3(X2,X3,X4)|empty_set=X4|ordinal(esk232_1(X2))|~ordinal(X2)|~in(esk240_2(X2,X3),omega)|~in(X3,esk236_1(X2))|~in(X1,X4)|~element(X4,powerset(powerset(esk240_2(X2,X3))))|~subset(esk241_3(X2,X3,X4),X1))). 31.61/6.37 cnf(i_0_1481, plain, (X1=esk241_3(X2,X3,X4)|empty_set=X4|ordinal(esk234_1(X2))|~ordinal(X2)|~in(esk240_2(X2,X3),omega)|~in(X3,esk236_1(X2))|~in(X1,X4)|~element(X4,powerset(powerset(esk240_2(X2,X3))))|~subset(esk241_3(X2,X3,X4),X1))). 31.61/6.37 cnf(i_0_2243, plain, (esk339_4(X1,X2,X3,X4)=esk337_4(X1,X2,X3,X4)|empty(X1)|in(esk329_2(X1,X2),esk330_2(X1,X2))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2951, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|ordinal(esk388_0)|esk387_1(X4)!=X4|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2845, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|esk387_1(X4)!=X4|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_925, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|function(esk125_2(X1,X2))|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2171, plain, (esk339_4(X1,X2,X3,X4)=esk337_4(X1,X2,X3,X4)|empty(X1)|in(esk332_2(X1,X2),esk333_2(X1,X2))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2917, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|esk387_1(X4)!=X4|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2721, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|esk395_1(X4)!=X4|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2649, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|esk395_1(X4)!=X4|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_255, plain, (set_difference(esk45_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk38_2(X1,X2)=esk39_2(X1,X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_260, plain, (set_difference(esk45_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk38_2(X1,X2)=esk40_2(X1,X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_2848, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|esk387_1(X3)!=X3|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2920, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_871, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|function(esk125_2(X1,X2))|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2423, lemma, (relation(esk367_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|element(esk366_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1882, lemma, (relation_dom_restriction(X1,X2)=X3|in(esk285_3(X2,X3,X1),relation_dom(X3))|set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2))!=relation_dom(X3)|~function(X1)|~function(X3)|~relation(X1)|~relation(X3))). 31.61/6.37 cnf(i_0_2865, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|esk387_1(X4)!=X4|esk395_1(X5)!=X5|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2757, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|esk387_1(X4)!=X4|esk395_1(X5)!=X5|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2773, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|esk387_1(X4)!=X4|esk394_0!=empty_set|esk391_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2426, lemma, (function(esk367_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|element(esk366_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_14, plain, (in(esk9_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|esk3_2(X1,X2)!=esk2_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_915, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|relation_dom(esk125_2(X1,X2))=X1|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2676, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2577, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|esk395_1(X4)!=X4|esk386_0!=empty_set|esk391_1(X5)!=X5|~ordinal(X1)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1501, plain, (esk235_2(X1,X2)=X3|esk239_2(X1,X4)=X4|X2=empty_set|~ordinal(X1)|~in(esk234_1(X1),omega)|~in(X4,esk236_1(X1))|~in(X3,X2)|~element(X2,powerset(powerset(esk234_1(X1))))|~subset(esk235_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1503, plain, (esk235_2(X1,X2)=X3|esk240_2(X1,X4)=X4|X2=empty_set|~ordinal(X1)|~in(esk234_1(X1),omega)|~in(X4,esk236_1(X1))|~in(X3,X2)|~element(X2,powerset(powerset(esk234_1(X1))))|~subset(esk235_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1537, plain, (esk233_2(X1,X2)=X3|esk239_2(X1,X4)=X4|empty_set=X2|~ordinal(X1)|~in(esk232_1(X1),omega)|~in(X4,esk236_1(X1))|~in(X3,X2)|~element(X2,powerset(powerset(esk232_1(X1))))|~subset(esk233_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2568, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3455, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3527, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|ordinal(esk392_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_861, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|relation_dom(esk125_2(X1,X2))=X1|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_1539, plain, (esk233_2(X1,X2)=X3|esk240_2(X1,X4)=X4|empty_set=X2|~ordinal(X1)|~in(esk232_1(X1),omega)|~in(X4,esk236_1(X1))|~in(X3,X2)|~element(X2,powerset(powerset(esk232_1(X1))))|~subset(esk233_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_279, plain, (in(esk45_3(X1,X2,X3),X2)|in(esk41_2(X1,X2),X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_269, plain, (in(esk45_3(X1,X2,X3),X2)|in(esk42_2(X1,X2),X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_1589, plain, (esk229_1(X1)=esk230_1(X1)|X2=esk241_3(X1,X3,X4)|empty_set=X4|~ordinal(X1)|~in(esk240_2(X1,X3),omega)|~in(X3,esk236_1(X1))|~in(X2,X4)|~element(X4,powerset(powerset(esk240_2(X1,X3))))|~subset(esk241_3(X1,X3,X4),X2))). 31.61/6.37 cnf(i_0_3421, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3771, lemma, (subset_complement(the_carrier(X1),esk404_4(X1,X2,X3,X4))=esk405_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~in(X4,esk403_3(X1,X2,X3))|~element(esk404_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2474, lemma, (subset_complement(the_carrier(X1),esk374_4(X1,X2,X3,X4))=esk375_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~in(X4,esk372_3(X1,X2,X3))|~element(esk374_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3424, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X3)!=X3|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1783, plain, (subset_complement(the_carrier(X1),esk272_3(X1,X2,X3))=X3|in(esk267_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X3,esk270_2(X1,X2))|~element(esk272_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1416, lemma, (unordered_pair(unordered_pair(esk219_3(X1,X2,X3),esk219_3(X1,X2,X3)),unordered_pair(esk219_3(X1,X2,X3),esk220_3(X1,X2,X3)))=X3|~in(X3,esk218_2(X1,X2)))). 31.61/6.37 cnf(i_0_1577, plain, (esk229_1(X1)=esk231_1(X1)|X2=esk241_3(X1,X3,X4)|empty_set=X4|~ordinal(X1)|~in(esk240_2(X1,X3),omega)|~in(X3,esk236_1(X1))|~in(X2,X4)|~element(X4,powerset(powerset(esk240_2(X1,X3))))|~subset(esk241_3(X1,X3,X4),X2))). 31.61/6.37 cnf(i_0_1553, plain, (esk231_1(X1)=esk232_1(X1)|X2=esk241_3(X1,X3,X4)|empty_set=X4|~ordinal(X1)|~in(esk240_2(X1,X3),omega)|~in(X3,esk236_1(X1))|~in(X2,X4)|~element(X4,powerset(powerset(esk240_2(X1,X3))))|~subset(esk241_3(X1,X3,X4),X2))). 31.61/6.37 cnf(i_0_1493, plain, (esk230_1(X1)=esk234_1(X1)|X2=esk241_3(X1,X3,X4)|empty_set=X4|~ordinal(X1)|~in(esk240_2(X1,X3),omega)|~in(X3,esk236_1(X1))|~in(X2,X4)|~element(X4,powerset(powerset(esk240_2(X1,X3))))|~subset(esk241_3(X1,X3,X4),X2))). 31.61/6.37 cnf(i_0_991, lemma, (X1=subset_complement(the_carrier(X2),X3)|esk135_2(X2,X4)!=esk136_2(X2,X4)|~one_sorted_str(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk137_2(X2,X4))|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_128, lemma, (subset_complement(the_carrier(X1),X2)=X3|esk22_2(X1,X4)!=esk23_2(X1,X4)|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk24_2(X1,X4))|~element(X4,powerset(powerset(the_carrier(X1))))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.37 cnf(i_0_2534, plain, (apply_binary_as_element(X1,X2,X3,X4,X5,X6)=apply_binary(X4,X5,X6)|empty(X1)|empty(X2)|~relation_of2(X4,cartesian_product2(X1,X2),X3)|~function(X4)|~quasi_total(X4,cartesian_product2(X1,X2),X3)|~element(X6,X2)|~element(X5,X1))). 31.61/6.37 cnf(i_0_1290, lemma, (X1=function_inverse(X2)|in(esk190_2(X2,X1),relation_dom(X2))|apply(X2,esk192_2(X2,X1))!=esk191_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~function(X1)|~function(X2)|~relation(X1)|~relation(X2)|~in(esk192_2(X2,X1),relation_dom(X2)))). 31.61/6.37 cnf(i_0_3921, plain, (ordinal(esk435_2(X1,X2))|in(X3,esk437_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))). 31.61/6.37 cnf(i_0_1398, lemma, (in(unordered_pair(unordered_pair(X1,esk214_3(X1,X2,X3)),unordered_pair(esk214_3(X1,X2,X3),esk214_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_image(X3,X2)))). 31.61/6.37 cnf(i_0_3258, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|in(esk388_0,omega)|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_920, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|relation(esk125_2(X1,X2))|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_3897, plain, (ordinal(esk436_2(X1,X2))|in(X3,esk437_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))). 31.61/6.37 cnf(i_0_1502, plain, (esk235_2(X1,X2)=X3|X2=empty_set|ordinal(esk240_2(X1,X4))|~ordinal(X1)|~in(esk234_1(X1),omega)|~in(X4,esk236_1(X1))|~in(X3,X2)|~element(X2,powerset(powerset(esk234_1(X1))))|~subset(esk235_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1538, plain, (esk233_2(X1,X2)=X3|empty_set=X2|ordinal(esk240_2(X1,X4))|~ordinal(X1)|~in(esk232_1(X1),omega)|~in(X4,esk236_1(X1))|~in(X3,X2)|~element(X2,powerset(powerset(esk232_1(X1))))|~subset(esk233_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2748, lemma, (X1=empty_set|ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3060, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|subset(X3,esk387_1(X3))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3132, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_866, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|relation(esk125_2(X1,X2))|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2730, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1289, lemma, (X1=function_inverse(X2)|in(esk191_2(X2,X1),relation_rng(X2))|apply(X1,esk189_2(X2,X1))!=esk190_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~function(X1)|~function(X2)|~relation(X1)|~relation(X2)|~in(esk189_2(X2,X1),relation_rng(X2)))). 31.61/6.37 cnf(i_0_2014, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|esk312_2(X1,X4)!=esk311_2(X1,X4)|~relation(X4)|~in(X3,esk318_3(X1,X4,X2))|~in(X2,esk315_2(X1,X4)))). 31.61/6.37 cnf(i_0_2059, plain, (esk313_2(X1,X2)=esk310_2(X1,X2)|in(X3,esk315_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk316_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))). 31.61/6.37 cnf(i_0_778, plain, (complements_of_subsets(X1,X2)=X3|in(subset_complement(X1,esk112_3(X1,X2,X3)),X2)|in(esk112_3(X1,X2,X3),X3)|~element(X3,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_2861, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk388_0,omega)|esk387_1(X4)!=X4|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2933, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|ordinal(esk392_0)|esk387_1(X4)!=X4|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3224, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_813, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2245, plain, (empty(X1)|in(esk336_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk329_2(X1,X2),esk330_2(X1,X2))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_2045, plain, (esk314_2(X1,X2)=esk310_2(X1,X2)|in(X3,esk315_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk316_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))). 31.61/6.37 cnf(i_0_810, lemma, (esk126_3(X1,X2,X3)=X3|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.37 cnf(i_0_2173, plain, (empty(X1)|in(esk336_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk332_2(X1,X2),esk333_2(X1,X2))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_3404, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3462, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3354, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2634, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_921, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_856, lemma, (in(apply(esk125_2(X1,X2),X3),esk126_3(X1,X2,X3))|in(esk119_2(X1,X2),esk122_2(X1,X2))|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))). 31.61/6.37 cnf(i_0_2776, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk395_1(X4)!=X4|esk391_1(X5)!=X5|~ordinal(X2)|~in(X3,esk386_0)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_976, plain, (esk128_3(X1,X2,X3)=esk129_3(X1,X2,X3)|in(esk132_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~function(X3)|~relation(X3)|~in(X4,esk131_3(X1,X2,X3))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_972, plain, (esk128_3(X1,X2,X3)=esk130_3(X1,X2,X3)|in(esk132_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~function(X3)|~relation(X3)|~in(X4,esk131_3(X1,X2,X3))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_1287, lemma, (X1=function_inverse(X2)|apply(X2,esk192_2(X2,X1))!=esk191_2(X2,X1)|apply(X1,esk189_2(X2,X1))!=esk190_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~function(X1)|~function(X2)|~relation(X1)|~relation(X2)|~in(esk189_2(X2,X1),relation_rng(X2))|~in(esk192_2(X2,X1),relation_dom(X2)))). 31.61/6.37 cnf(i_0_910, lemma, (in(apply(esk125_2(X1,X2),X3),esk126_3(X1,X2,X3))|in(esk120_2(X1,X2),esk121_2(X1,X2))|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))). 31.61/6.37 cnf(i_0_3026, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X3,esk387_1(X3))|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3386, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|subset(X3,esk391_1(X3))|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3464, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|subset(X3,esk395_1(X3))|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3356, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|subset(X3,esk395_1(X3))|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_867, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_694, lemma, (esk102_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk97_2(X1,X2),esk100_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2)))). 31.61/6.37 cnf(i_0_710, lemma, (esk102_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk98_2(X1,X2),esk99_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2)))). 31.61/6.37 cnf(i_0_965, plain, (esk132_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk129_3(X1,X2,X3)),X2)|~function(X3)|~relation(X3)|~in(X4,esk131_3(X1,X2,X3))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_969, plain, (esk132_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk130_3(X1,X2,X3)),X2)|~function(X3)|~relation(X3)|~in(X4,esk131_3(X1,X2,X3))|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_2060, plain, (esk313_2(X1,X2)=esk310_2(X1,X2)|in(esk316_5(X1,X2,X3,X4,X4),X4)|in(X3,esk315_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))). 31.61/6.37 cnf(i_0_2636, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X3,esk395_1(X3))|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3459, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X4)!=X4|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3351, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X4)!=X4|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_938, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2046, plain, (esk314_2(X1,X2)=esk310_2(X1,X2)|in(esk316_5(X1,X2,X3,X4,X4),X4)|in(X3,esk315_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))). 31.61/6.37 cnf(i_0_3061, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk387_1(X4))|esk388_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2953, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk387_1(X4))|esk390_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2593, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk391_1(X4))|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2421, lemma, (relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk366_3(X1,X2,X3)=esk365_2(X1,X2)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2827, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X4)!=X4|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2631, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|esk395_1(X4)!=X4|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3367, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|esk391_1(X4)!=X4|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2830, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X3)!=X3|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_793, plain, (in(unordered_pair(unordered_pair(X1,esk115_3(X2,relation_rng(X2),X1)),unordered_pair(esk115_3(X2,relation_rng(X2),X1),esk115_3(X2,relation_rng(X2),X1))),X2)|~relation(X2)|~in(X1,relation_rng(X2)))). 31.61/6.37 cnf(i_0_1193, plain, (unordered_pair(unordered_pair(esk176_1(X1),esk176_1(X1)),unordered_pair(esk176_1(X1),esk177_1(X1)))=esk172_1(X1)|in(esk179_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_2671, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk395_1(X4))|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2563, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk395_1(X4))|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1217, plain, (unordered_pair(unordered_pair(esk174_1(X1),esk174_1(X1)),unordered_pair(esk174_1(X1),esk175_1(X1)))=esk173_1(X1)|in(esk179_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_3370, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X3)!=X3|esk391_1(X4)!=X4|~ordinal(X2)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3259, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|esk388_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3151, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|esk390_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2611, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_932, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_754, plain, (esk107_2(X1,X2)=esk106_2(X1,X2)|X2=identity_relation(X1)|in(unordered_pair(unordered_pair(esk106_2(X1,X2),esk106_2(X1,X2)),unordered_pair(esk106_2(X1,X2),esk107_2(X1,X2))),X2)|~relation(X2))). 31.61/6.37 cnf(i_0_635, 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))). 31.61/6.37 cnf(i_0_212, 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))). 31.61/6.37 cnf(i_0_2669, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2561, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3437, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3262, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk395_1(X4)!=X4|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_937, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2937, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|esk387_1(X4)!=X4|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2789, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|esk387_1(X4)!=X4|esk391_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1288, lemma, (apply(X1,esk191_2(X2,X1))=esk192_2(X2,X1)|X1=function_inverse(X2)|apply(X1,esk189_2(X2,X1))!=esk190_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~function(X1)|~function(X2)|~relation(X1)|~relation(X2)|~in(esk189_2(X2,X1),relation_rng(X2)))). 31.61/6.37 cnf(i_0_3879, plain, (esk432_2(X1,X2)=esk433_2(X1,X2)|in(X3,esk437_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))). 31.61/6.37 cnf(i_0_3154, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk395_1(X4)!=X4|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2614, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|esk395_1(X4)!=X4|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk390_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2810, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|esk387_1(X4)!=X4|esk394_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2868, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|esk387_1(X4)!=X4|esk388_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2658, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|esk386_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3903, plain, (esk432_2(X1,X2)=esk434_2(X1,X2)|in(X3,esk437_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))). 31.61/6.37 cnf(i_0_3909, plain, (esk435_2(X1,X2)=esk434_2(X1,X2)|in(X3,esk437_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))). 31.61/6.37 cnf(i_0_2548, plain, (X1=relation_dom(X2)|in(unordered_pair(unordered_pair(esk384_2(X2,X1),esk384_2(X2,X1)),unordered_pair(esk384_2(X2,X1),esk385_2(X2,X1))),X2)|in(esk384_2(X2,X1),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_2760, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|esk387_1(X4)!=X4|esk390_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3170, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk394_0!=empty_set|esk391_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2580, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|esk386_0!=empty_set|esk391_1(X4)!=X4|~ordinal(X2)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3064, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk395_1(X4)!=X4|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_794, plain, (X1=relation_rng(X2)|in(unordered_pair(unordered_pair(esk113_2(X2,X1),esk114_2(X2,X1)),unordered_pair(esk114_2(X2,X1),esk114_2(X2,X1))),X2)|in(esk113_2(X2,X1),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_3891, plain, (esk436_2(X1,X2)=esk433_2(X1,X2)|in(X3,esk437_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))). 31.61/6.37 cnf(i_0_3915, plain, (in(X1,esk437_2(X2,X3))|in(esk435_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))). 31.61/6.37 cnf(i_0_753, plain, (X1=identity_relation(X2)|in(unordered_pair(unordered_pair(esk106_2(X2,X1),esk106_2(X2,X1)),unordered_pair(esk106_2(X2,X1),esk107_2(X2,X1))),X1)|in(esk106_2(X2,X1),X2)|~relation(X1))). 31.61/6.37 cnf(i_0_2956, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk395_1(X4)!=X4|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2596, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk391_1(X3))|esk395_1(X4)!=X4|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk390_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2792, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk391_1(X3))|esk387_1(X4)!=X4|esk394_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2870, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|esk387_1(X4)!=X4|esk388_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2425, lemma, (relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|element(esk366_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3885, plain, (in(X1,esk437_2(X2,X3))|in(esk436_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))). 31.61/6.37 cnf(i_0_2762, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|esk387_1(X4)!=X4|esk390_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_78, plain, (esk1_2(X1,X2)=esk2_2(X1,X2)|in(esk9_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2972, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk394_0!=empty_set|esk391_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2582, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|esk386_0!=empty_set|esk391_1(X4)!=X4|~ordinal(X2)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1786, plain, (in(esk267_2(X1,X2),X2)|in(X3,esk270_2(X1,X2))|element(esk271_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X4,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2476, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk372_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk373_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.37 cnf(i_0_70, plain, (esk1_2(X1,X2)=esk3_2(X1,X2)|in(esk9_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_281, plain, (in(esk44_3(X1,X2,X3),powerset(X1))|in(esk41_2(X1,X2),X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_271, plain, (in(esk44_3(X1,X2,X3),powerset(X1))|in(esk42_2(X1,X2),X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_701, lemma, (empty(X1)|in(X2,esk102_4(X1,X3,X4,X2))|in(esk96_2(X1,X3),X1)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),esk101_2(X1,X3)))). 31.61/6.37 cnf(i_0_3534, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3240, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3420, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3516, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_263, plain, (set_difference(esk42_2(X1,X2),unordered_pair(X1,X1))=esk40_2(X1,X2)|esk44_3(X1,X2,X3)=X3|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_273, plain, (set_difference(esk41_2(X1,X2),unordered_pair(X1,X1))=esk39_2(X1,X2)|esk44_3(X1,X2,X3)=X3|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_2674, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3536, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|subset(X3,esk395_1(X3))|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3042, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X3,esk387_1(X3))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3402, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|subset(X3,esk391_1(X3))|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_658, plain, (in(set_difference(cast_as_carrier_subset(X1),esk92_2(X1,X2)),X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_816, lemma, (esk126_3(X1,X2,X3)=X3|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.37 cnf(i_0_2566, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_280, plain, (set_difference(esk45_3(X1,X2,X3),unordered_pair(X1,X1))=X3|in(esk41_2(X1,X2),X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_270, plain, (set_difference(esk45_3(X1,X2,X3),unordered_pair(X1,X1))=X3|in(esk42_2(X1,X2),X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_3133, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|subset(X4,esk387_1(X4))|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2743, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|subset(X4,esk395_1(X4))|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_650, plain, (in(set_difference(cast_as_carrier_subset(X1),esk93_2(X1,X2)),X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3531, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X4)!=X4|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2843, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X4)!=X4|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3383, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|element(esk386_0,powerset(powerset(empty_set)))|esk391_1(X4)!=X4|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_933, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_3077, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|subset(X4,esk387_1(X4))|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2969, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|subset(X4,esk387_1(X4))|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2609, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|subset(X4,esk391_1(X4))|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_689, lemma, (relation(esk101_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk97_2(X1,X2),X3),unordered_pair(esk97_2(X1,X2),esk97_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk100_2(X1,X2)))). 31.61/6.37 cnf(i_0_2383, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|relation(esk367_2(X1,X2))|subset_complement(the_carrier(X1),esk366_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2386, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|function(esk367_2(X1,X2))|subset_complement(the_carrier(X1),esk366_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1230, plain, (esk171_1(X1)=esk172_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk178_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))). 31.61/6.37 cnf(i_0_721, lemma, (relation(esk101_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk98_2(X1,X2),X3),unordered_pair(esk98_2(X1,X2),esk98_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk99_2(X1,X2)))). 31.61/6.37 cnf(i_0_2919, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|esk387_1(X4)!=X4|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2847, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|esk387_1(X4)!=X4|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_688, lemma, (function(esk101_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk97_2(X1,X2),X3),unordered_pair(esk97_2(X1,X2),esk97_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk100_2(X1,X2)))). 31.61/6.37 cnf(i_0_2399, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|relation(esk367_2(X1,X2))|subset_complement(the_carrier(X1),esk366_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2402, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|function(esk367_2(X1,X2))|subset_complement(the_carrier(X1),esk366_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1206, plain, (esk171_1(X1)=esk173_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk178_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))). 31.61/6.37 cnf(i_0_720, lemma, (function(esk101_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk98_2(X1,X2),X3),unordered_pair(esk98_2(X1,X2),esk98_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk99_2(X1,X2)))). 31.61/6.37 cnf(i_0_1474, plain, (in(X1,esk236_1(X2))|element(esk237_4(X2,X1,X1,X1),powerset(powerset(X1)))|esk231_1(X2)!=esk230_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))). 31.61/6.37 cnf(i_0_1116, plain, (X1=topstr_closure(X2,X3)|in(esk157_3(X2,X3,X1),X1)|~disjoint(X3,X4)|~open_subset(X4,X2)|~top_str(X2)|~in(esk157_3(X2,X3,X1),X4)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~element(X4,powerset(the_carrier(X2))))). 31.61/6.37 cnf(i_0_530, 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))). 31.61/6.37 cnf(i_0_308, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|relation(esk52_2(X1,X2))|subset_complement(the_carrier(X1),esk51_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_309, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|function(esk52_2(X1,X2))|subset_complement(the_carrier(X1),esk51_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_943, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2746, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2775, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|esk387_1(X4)!=X4|esk395_1(X5)!=X5|esk391_1(X6)!=X6|~ordinal(X1)|~in(X4,esk386_0)|~in(X6,esk390_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_405, plain, (in(X1,esk66_2(X2,X3))|esk63_2(X2,X3)!=esk62_2(X2,X3)|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~subset(X3,X1))). 31.61/6.37 cnf(i_0_3331, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(esk387_1(X4),esk386_0)|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2728, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_324, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|relation(esk52_2(X1,X2))|subset_complement(the_carrier(X1),esk51_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_325, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|function(esk52_2(X1,X2))|subset_complement(the_carrier(X1),esk51_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3518, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|subset(X3,esk395_1(X3))|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3468, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2741, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(esk395_1(X4),esk394_0)|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3275, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk387_1(X4),esk386_0)|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3167, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk387_1(X4),esk386_0)|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2627, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk391_1(X4),esk390_0)|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3360, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3334, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2940, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2826, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3186, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk391_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3316, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2640, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3835, lemma, (in(esk428_4(X1,X2,X2,X3),esk427_3(X1,X2,X2))|in(X2,esk424_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk427_3(X1,X2,X2)))). 31.61/6.37 cnf(i_0_3136, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2942, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2808, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk391_1(X3))|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2988, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk391_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1218, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk178_2(X2,X3))|in(esk174_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))). 31.61/6.37 cnf(i_0_939, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2024, plain, (in(X1,esk315_2(X2,X3))|in(esk310_2(X2,X3),X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk316_5(X2,X3,X1,X4,X4))),X3)|~in(X4,X2)|~in(X1,X4))). 31.61/6.37 cnf(i_0_2678, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.37 cnf(i_0_2570, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.37 cnf(i_0_310, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|relation_dom(esk52_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk51_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1200, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk178_2(X2,X3))|in(esk176_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))). 31.61/6.37 cnf(i_0_1232, plain, (unordered_pair(unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3)),unordered_pair(esk180_3(X1,X2,X3),esk181_3(X1,X2,X3)))=X3|esk171_1(X1)=esk172_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_252, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk43_2(X2,X3))|esk40_2(X2,X3)!=esk39_2(X2,X3)|~ordinal(X2)|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2))))))). 31.61/6.37 cnf(i_0_918, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|esk126_3(X1,X2,X3)=X3|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.37 cnf(i_0_1208, plain, (unordered_pair(unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3)),unordered_pair(esk180_3(X1,X2,X3),esk181_3(X1,X2,X3)))=X3|esk171_1(X1)=esk173_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_326, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|relation_dom(esk52_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk51_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3444, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2922, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1184, plain, (unordered_pair(unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3)),unordered_pair(esk180_3(X1,X2,X3),esk181_3(X1,X2,X3)))=X3|esk173_1(X1)!=esk172_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_864, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|esk126_3(X1,X2,X3)=X3|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.37 cnf(i_0_1339, plain, (X1=boole_lattice(X2)|apply_binary(the_L_meet(X1),esk205_2(X2,X1),esk206_2(X2,X1))!=subset_intersection2(X2,esk205_2(X2,X1),esk206_2(X2,X1))|apply_binary(the_L_join(X1),esk205_2(X2,X1),esk206_2(X2,X1))!=subset_union2(X2,esk205_2(X2,X1),esk206_2(X2,X1))|powerset(X2)!=the_carrier(X1)|~strict_latt_str(X1)|~latt_str(X1))). 31.61/6.37 cnf(i_0_3446, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|subset(X3,esk395_1(X3))|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_135, lemma, (in(esk21_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk24_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1473, plain, (in(X1,esk236_1(X2))|subset(X3,esk238_5(X2,X1,X1,X1,X3))|esk231_1(X2)!=esk230_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk237_4(X2,X1,X1,X1)))). 31.61/6.37 cnf(i_0_3115, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|subset(X4,esk387_1(X4))|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2725, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|subset(X4,esk395_1(X4))|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3149, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|ordinal(esk388_0)|subset(X4,esk387_1(X4))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_320, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|relation(esk52_2(X1,X2))|in(esk50_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_848, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk119_2(X1,X2),esk122_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_3043, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|subset(X4,esk387_1(X4))|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_336, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|relation(esk52_2(X1,X2))|in(esk50_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1854, plain, (in(esk279_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk282_2(X1,X2))|subset_complement(the_carrier(X1),esk284_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_902, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk120_2(X1,X2),esk121_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2653, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|subset(X4,esk395_1(X4))|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1060, plain, (X1=X2|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk144_2(X1,X2),esk144_2(X1,X2)),unordered_pair(esk144_2(X1,X2),esk145_2(X1,X2))),X2)|~in(unordered_pair(unordered_pair(esk144_2(X1,X2),esk144_2(X1,X2)),unordered_pair(esk144_2(X1,X2),esk145_2(X1,X2))),X1))). 31.61/6.37 cnf(i_0_987, lemma, (esk138_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk137_2(X1,X2))|esk135_2(X1,X2)!=esk136_2(X1,X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_264, plain, (set_difference(esk42_2(X1,X2),unordered_pair(X1,X1))=esk40_2(X1,X2)|in(esk45_3(X1,X2,X3),X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_3540, lemma, (X1=empty_set|ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3441, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X4)!=X4|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3513, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X4)!=X4|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3347, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|ordinal(esk388_0)|in(esk387_1(X4),esk386_0)|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1646, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk246_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)))). 31.61/6.37 cnf(i_0_3522, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_274, plain, (set_difference(esk41_2(X1,X2),unordered_pair(X1,X1))=esk39_2(X1,X2)|in(esk45_3(X1,X2,X3),X2)|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.37 cnf(i_0_3063, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk387_1(X4))|esk395_1(X5)!=X5|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2955, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk387_1(X4))|esk395_1(X5)!=X5|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2595, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk391_1(X4))|esk395_1(X5)!=X5|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk390_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3241, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|in(esk388_0,omega)|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_853, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk119_2(X1,X2),esk122_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2791, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk391_1(X4))|esk387_1(X5)!=X5|esk394_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2869, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk395_1(X4))|esk387_1(X5)!=X5|esk388_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2761, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk395_1(X4))|esk387_1(X5)!=X5|esk390_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2971, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk387_1(X4))|esk394_0!=empty_set|esk391_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_907, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk120_2(X1,X2),esk121_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2651, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk388_0,omega)|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3313, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk387_1(X4),esk386_0)|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2723, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk395_1(X4),esk394_0)|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1401, plain, (unordered_pair(unordered_pair(esk216_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk215_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)),unordered_pair(esk215_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk215_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X2=X3)). 31.61/6.37 cnf(i_0_2581, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk395_1(X4))|esk386_0!=empty_set|esk391_1(X5)!=X5|~ordinal(X1)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1570, plain, (ordinal(esk232_1(X1))|in(X2,esk236_1(X1))|element(esk237_4(X1,X2,X2,X2),powerset(powerset(X2)))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_1486, plain, (ordinal(esk234_1(X1))|in(X2,esk236_1(X1))|element(esk237_4(X1,X2,X2,X2),powerset(powerset(X2)))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_3244, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|in(esk388_0,omega)|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2850, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk388_0,omega)|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3818, plain, (unordered_pair(unordered_pair(esk416_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk416_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)),unordered_pair(esk416_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk417_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X1=X3)). 31.61/6.37 cnf(i_0_2025, plain, (in(esk316_5(X1,X2,X3,X4,X4),X4)|in(X3,esk315_2(X1,X2))|in(esk310_2(X1,X2),X1)|~relation(X2)|~in(X4,X1)|~in(X3,X4))). 31.61/6.37 cnf(i_0_2656, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3046, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|subset(X3,esk387_1(X3))|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2852, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|subset(X3,esk395_1(X3))|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_849, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk119_2(X1,X2),esk122_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_2242, plain, (empty(X1)|in(esk338_4(X1,X2,X3,X4),esk339_4(X1,X2,X3,X4))|in(esk329_2(X1,X2),esk330_2(X1,X2))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_1927, plain, (subset_complement(the_carrier(X1),esk306_4(X1,X2,X3,X4))=esk307_4(X1,X2,X3,X4)|esk298_2(X1,X2)!=esk297_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk306_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_13, plain, (subset_complement(the_carrier(X1),esk10_4(X1,X2,X3,X4))=esk11_4(X1,X2,X3,X4)|esk3_2(X1,X2)!=esk2_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk10_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2170, plain, (empty(X1)|in(esk338_4(X1,X2,X3,X4),esk339_4(X1,X2,X3,X4))|in(esk332_2(X1,X2),esk333_2(X1,X2))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.37 cnf(i_0_3118, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2924, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_660, plain, (in(set_difference(cast_as_carrier_subset(X1),esk92_2(X1,X2)),X2)|in(esk95_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_903, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk120_2(X1,X2),esk121_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_1855, plain, (esk284_4(X1,X2,X3,X4)=X4|in(esk279_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk282_2(X1,X2))|~one_sorted_str(X1)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_975, plain, (esk128_3(X1,X2,X3)=esk129_3(X1,X2,X3)|in(X4,esk131_3(X1,X2,X3))|~function(X3)|~relation(X3)|~in(X4,powerset(relation_dom(X3)))|~in(relation_image(X3,X4),X2)|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_971, plain, (esk128_3(X1,X2,X3)=esk130_3(X1,X2,X3)|in(X4,esk131_3(X1,X2,X3))|~function(X3)|~relation(X3)|~in(X4,powerset(relation_dom(X3)))|~in(relation_image(X3,X4),X2)|~element(X2,powerset(powerset(X1))))). 31.61/6.37 cnf(i_0_652, plain, (in(set_difference(cast_as_carrier_subset(X1),esk93_2(X1,X2)),X2)|in(esk95_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~in(X3,esk94_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2750, lemma, (empty_set=X1|X2=empty_set|ordinal(esk388_0)|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|esk386_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.37 cnf(i_0_1799, plain, (subset_complement(the_carrier(X1),esk267_2(X1,X2))=esk268_2(X1,X2)|in(esk272_3(X1,X2,X3),X2)|~one_sorted_str(X1)|~in(X3,esk270_2(X1,X2))|~element(esk267_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1859, plain, (subset_complement(the_carrier(X1),esk283_3(X1,X2,X3))=X3|in(esk279_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X3,esk282_2(X1,X2))|~element(esk283_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1220, plain, (unordered_pair(unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3)),unordered_pair(esk180_3(X1,X2,X3),esk181_3(X1,X2,X3)))=X3|in(esk174_1(X1),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_2056, plain, (esk313_2(X1,X2)=esk310_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(X4,esk318_3(X1,X2,X3))|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_2042, plain, (esk314_2(X1,X2)=esk310_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(X4,esk318_3(X1,X2,X3))|~in(X3,esk315_2(X1,X2)))). 31.61/6.37 cnf(i_0_2021, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk310_2(X1,X4),X1)|~relation(X4)|~in(X3,esk318_3(X1,X4,X2))|~in(X2,esk315_2(X1,X4)))). 31.61/6.37 cnf(i_0_1202, plain, (unordered_pair(unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3)),unordered_pair(esk180_3(X1,X2,X3),esk181_3(X1,X2,X3)))=X3|in(esk176_1(X1),X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.37 cnf(i_0_1787, plain, (subset_complement(the_carrier(X1),esk267_2(X1,X2))=esk269_2(X1,X2)|in(esk272_3(X1,X2,X3),X2)|~one_sorted_str(X1)|~in(X3,esk270_2(X1,X2))|~element(esk267_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_26, plain, (subset_complement(the_carrier(X1),esk6_2(X1,X2))=esk7_2(X1,X2)|esk9_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk6_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_842, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(esk119_2(X1,X2),esk122_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_54, plain, (in(esk9_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk4_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1594, plain, (esk229_1(X1)=esk230_1(X1)|in(X2,esk236_1(X1))|element(esk237_4(X1,X2,X2,X2),powerset(powerset(X2)))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_1582, plain, (esk229_1(X1)=esk231_1(X1)|in(X2,esk236_1(X1))|element(esk237_4(X1,X2,X2,X2),powerset(powerset(X2)))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_22, plain, (in(esk9_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk6_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_58, plain, (subset_complement(the_carrier(X1),esk4_2(X1,X2))=esk5_2(X1,X2)|esk9_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk4_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1953, plain, (subset_complement(the_carrier(X1),esk301_2(X1,X2))=esk302_2(X1,X2)|esk305_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk301_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_896, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(esk120_2(X1,X2),esk121_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_1558, plain, (esk231_1(X1)=esk232_1(X1)|in(X2,esk236_1(X1))|element(esk237_4(X1,X2,X2,X2),powerset(powerset(X2)))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_1498, plain, (esk230_1(X1)=esk234_1(X1)|in(X2,esk236_1(X1))|element(esk237_4(X1,X2,X2,X2),powerset(powerset(X2)))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))). 31.61/6.37 cnf(i_0_3450, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_1977, plain, (subset_complement(the_carrier(X1),esk299_2(X1,X2))=esk300_2(X1,X2)|esk305_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk299_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2675, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2567, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_847, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(esk119_2(X1,X2),esk122_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_3426, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3261, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|esk395_1(X5)!=X5|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3153, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|esk395_1(X5)!=X5|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2613, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|esk395_1(X5)!=X5|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk390_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2809, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|esk387_1(X5)!=X5|esk394_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3428, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|subset(X3,esk395_1(X3))|~ordinal(X2)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2874, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2766, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2586, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|esk386_0!=empty_set|esk391_1(X3)!=X3|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3423, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X4)!=X4|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_901, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(esk120_2(X1,X2),esk121_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.37 cnf(i_0_1897, plain, (X1=fiber(X2,X3)|in(unordered_pair(unordered_pair(X3,esk287_3(X2,X3,X1)),unordered_pair(esk287_3(X2,X3,X1),esk287_3(X2,X3,X1))),X2)|in(esk287_3(X2,X3,X1),X1)|~relation(X2))). 31.61/6.37 cnf(i_0_2867, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|esk387_1(X5)!=X5|esk388_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2759, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|esk387_1(X5)!=X5|esk390_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3169, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|esk394_0!=empty_set|esk391_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2579, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|esk386_0!=empty_set|esk391_1(X5)!=X5|~ordinal(X1)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3466, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2385, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk366_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_2401, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk366_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3206, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|in(esk387_1(X4),esk386_0)|esk394_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3358, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2794, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk391_1(X3))|esk387_1(X4)!=X4|esk395_1(X5)!=X5|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X5,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2974, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk395_1(X4)!=X4|esk391_1(X5)!=X5|~ordinal(X2)|~in(X3,esk386_0)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2780, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|esk387_1(X4)!=X4|esk391_1(X5)!=X5|~ordinal(X2)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_2638, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3257, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk387_1(X4),esk386_0)|in(esk388_0,omega)|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2477, lemma, (esk373_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)),esk372_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_1569, plain, (ordinal(esk232_1(X1))|in(X2,esk236_1(X1))|subset(X3,esk238_5(X1,X2,X2,X2,X3))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.37 cnf(i_0_1485, plain, (ordinal(esk234_1(X1))|in(X2,esk236_1(X1))|subset(X3,esk238_5(X1,X2,X2,X2,X3))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.37 cnf(i_0_52, plain, (in(esk10_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk4_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3059, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk388_0,omega)|subset(X4,esk387_1(X4))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3329, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|ordinal(esk392_0)|in(esk387_1(X4),esk386_0)|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3131, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|ordinal(esk392_0)|subset(X4,esk387_1(X4))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3264, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk387_1(X4),esk386_0)|esk388_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_20, plain, (in(esk10_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk6_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_166, plain, (X1=relation_inverse(X2)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk26_2(X2,X1),esk26_2(X2,X1)),unordered_pair(esk26_2(X2,X1),esk27_2(X2,X1))),X1)|~in(unordered_pair(unordered_pair(esk26_2(X2,X1),esk27_2(X2,X1)),unordered_pair(esk27_2(X2,X1),esk27_2(X2,X1))),X2))). 31.61/6.37 cnf(i_0_986, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk137_2(X3,X4))|subset_complement(the_carrier(X3),esk138_4(X3,X4,X1,X2))!=X2|esk135_2(X3,X4)!=esk136_2(X3,X4)|~one_sorted_str(X3)|~in(X1,X4)|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.37 cnf(i_0_2829, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X4)!=X4|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_1512, plain, (X1=empty_set|in(esk239_2(X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk235_2(X2,X1),X1)|~ordinal(X2)|~in(esk234_1(X2),omega)|~in(X3,esk236_1(X2))|~element(X1,powerset(powerset(esk234_1(X2)))))). 31.61/6.37 cnf(i_0_295, lemma, (apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk51_3(X1,X2,X4))!=X4|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.37 cnf(i_0_3223, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3403, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3766, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk403_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk406_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.37 cnf(i_0_1524, plain, (empty_set=X1|in(esk239_2(X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk233_2(X2,X1),X1)|~ordinal(X2)|~in(esk232_1(X2),omega)|~in(X3,esk236_1(X2))|~element(X1,powerset(powerset(esk232_1(X2)))))). 31.61/6.37 cnf(i_0_3369, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X4)!=X4|esk391_1(X5)!=X5|~ordinal(X1)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3135, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|subset(X4,esk387_1(X4))|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2941, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|subset(X4,esk395_1(X4))|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2807, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|subset(X4,esk391_1(X4))|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3461, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3353, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2633, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_3025, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|subset(X4,esk387_1(X4))|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_924, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|esk126_3(X1,X2,X3)=X3|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.37 cnf(i_0_2987, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|subset(X4,esk387_1(X4))|esk391_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.37 cnf(i_0_2812, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|esk387_1(X4)!=X4|esk395_1(X5)!=X5|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X5,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.37 cnf(i_0_3172, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk395_1(X4)!=X4|esk391_1(X5)!=X5|~ordinal(X2)|~in(X3,esk386_0)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2778, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|esk387_1(X4)!=X4|esk391_1(X5)!=X5|~ordinal(X2)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_870, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|esk126_3(X1,X2,X3)=X3|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_3385, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk391_1(X4))|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3463, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk395_1(X4))|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3355, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk395_1(X4))|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2635, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|subset(X4,esk395_1(X4))|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3156, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk387_1(X4),esk386_0)|esk390_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3538, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_693, lemma, (empty(X1)|in(esk97_2(X1,X2),esk100_2(X1,X2))|in(X3,esk102_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk101_2(X1,X2)))). 31.61/6.38 cnf(i_0_709, lemma, (empty(X1)|in(esk98_2(X1,X2),esk99_2(X1,X2))|in(X3,esk102_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk101_2(X1,X2)))). 31.61/6.38 cnf(i_0_1593, plain, (esk229_1(X1)=esk230_1(X1)|in(X2,esk236_1(X1))|subset(X3,esk238_5(X1,X2,X2,X2,X3))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.38 cnf(i_0_3520, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3226, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3406, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk390_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2832, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3372, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|esk391_1(X4)!=X4|~ordinal(X2)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2616, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk391_1(X4),esk390_0)|esk386_0!=empty_set|~ordinal(X2)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_266, plain, (set_difference(esk42_2(X1,X2),unordered_pair(X1,X1))=esk40_2(X1,X2)|in(esk44_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.38 cnf(i_0_1581, plain, (esk229_1(X1)=esk231_1(X1)|in(X2,esk236_1(X1))|subset(X3,esk238_5(X1,X2,X2,X2,X3))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.38 cnf(i_0_1557, plain, (esk231_1(X1)=esk232_1(X1)|in(X2,esk236_1(X1))|subset(X3,esk238_5(X1,X2,X2,X2,X3))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.38 cnf(i_0_276, plain, (set_difference(esk41_2(X1,X2),unordered_pair(X1,X1))=esk39_2(X1,X2)|in(esk44_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.38 cnf(i_0_3028, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X3,esk387_1(X3))|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3388, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|subset(X3,esk391_1(X3))|esk395_1(X4)!=X4|~ordinal(X2)|~in(X3,esk390_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2834, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X3,esk395_1(X3))|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3374, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|subset(X3,esk395_1(X3))|esk391_1(X4)!=X4|~ordinal(X2)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3008, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|subset(X4,esk387_1(X4))|esk394_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2946, lemma, (X1=empty_set|ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1497, plain, (esk230_1(X1)=esk234_1(X1)|in(X2,esk236_1(X1))|subset(X3,esk238_5(X1,X2,X2,X2,X3))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.38 cnf(i_0_2928, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2660, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|in(esk388_0,omega)|esk386_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2732, lemma, (empty_set=X1|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|esk386_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_843, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk119_2(X1,X2),esk122_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_3432, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_125, lemma, (esk25_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk24_2(X1,X2))|esk22_2(X1,X2)!=esk23_2(X1,X2)|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_257, plain, (esk38_2(X1,X2)=esk39_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk43_2(X1,X2))|~ordinal(X1)|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.38 cnf(i_0_1226, plain, (unordered_pair(unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3)),unordered_pair(esk180_3(X1,X2,X3),esk181_3(X1,X2,X3)))=X3|unordered_pair(esk174_1(X1),esk174_1(X1))=esk175_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.38 cnf(i_0_262, plain, (esk38_2(X1,X2)=esk40_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk43_2(X1,X2))|~ordinal(X1)|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.38 cnf(i_0_2391, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|relation(esk367_2(X1,X2))|element(esk366_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_897, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(esk120_2(X1,X2),esk121_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk124_4(X1,X2,X3,esk123_2(X1,X2)))),X2)|~in(X3,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_2407, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|relation(esk367_2(X1,X2))|element(esk366_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_936, lemma, (esk126_3(X1,X2,X3)=X3|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_2990, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk391_1(X3))|subset(X4,esk387_1(X4))|esk394_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3068, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|subset(X4,esk387_1(X4))|esk388_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1196, plain, (unordered_pair(unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3)),unordered_pair(esk180_3(X1,X2,X3),esk181_3(X1,X2,X3)))=X3|unordered_pair(esk176_1(X1),esk176_1(X1))=esk177_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.38 cnf(i_0_316, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|relation(esk52_2(X1,X2))|element(esk51_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_332, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|relation(esk52_2(X1,X2))|element(esk51_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3066, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|subset(X4,esk387_1(X4))|esk388_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1192, plain, (unordered_pair(unordered_pair(esk176_1(X1),esk176_1(X1)),unordered_pair(esk176_1(X1),esk177_1(X1)))=esk172_1(X1)|unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3))=esk181_3(X1,X2,X3)|~in(X3,esk178_2(X1,X2)))). 31.61/6.38 cnf(i_0_2960, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|subset(X4,esk387_1(X4))|esk390_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2600, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|subset(X4,esk391_1(X4))|esk386_0!=empty_set|~ordinal(X2)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3333, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(esk387_1(X4),esk386_0)|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2939, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(esk395_1(X4),esk394_0)|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1216, plain, (unordered_pair(unordered_pair(esk174_1(X1),esk174_1(X1)),unordered_pair(esk174_1(X1),esk175_1(X1)))=esk173_1(X1)|unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3))=esk181_3(X1,X2,X3)|~in(X3,esk178_2(X1,X2)))). 31.61/6.38 cnf(i_0_2747, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|esk386_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2729, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|esk386_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2958, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|subset(X4,esk387_1(X4))|esk390_0!=empty_set|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2598, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|subset(X4,esk391_1(X4))|esk386_0!=empty_set|~ordinal(X2)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3188, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|subset(X4,esk391_1(X4))|esk394_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2825, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk391_1(X4),esk390_0)|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3185, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk387_1(X4),esk386_0)|esk391_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_668, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|esk98_2(X1,X4)!=esk97_2(X1,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk101_2(X1,X4))|~in(X3,esk102_4(X1,X4,X5,X2)))). 31.61/6.38 cnf(i_0_3761, lemma, (X1=empty_set|X2=empty_set|in(esk402_2(X3,X1),X1)|in(esk399_2(X4,X2),X2)|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk398_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_942, lemma, (esk126_3(X1,X2,X3)=X3|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_3266, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|subset(X4,esk395_1(X4))|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3158, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|subset(X4,esk395_1(X4))|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2618, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|subset(X4,esk395_1(X4))|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk390_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1015, lemma, (X1=subset_complement(the_carrier(X2),X3)|in(esk134_2(X2,X4),X4)|~one_sorted_str(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk137_2(X2,X4))|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2))))). 31.61/6.38 cnf(i_0_1011, lemma, (esk138_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk137_2(X1,X2))|in(esk134_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2073, plain, (in(esk311_2(X1,X2),esk313_2(X1,X2))|in(X3,esk315_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk316_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))). 31.61/6.38 cnf(i_0_321, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|function(esk52_2(X1,X2))|in(esk50_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_337, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|function(esk52_2(X1,X2))|in(esk50_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2458, plain, (inclusion_relation(relation_field(X1))=X1|in(unordered_pair(unordered_pair(esk370_2(relation_field(X1),X1),esk370_2(relation_field(X1),X1)),unordered_pair(esk370_2(relation_field(X1),X1),esk371_2(relation_field(X1),X1))),X1)|subset(esk370_2(relation_field(X1),X1),esk371_2(relation_field(X1),X1))|~relation(X1))). 31.61/6.38 cnf(i_0_2031, plain, (in(esk312_2(X1,X2),esk314_2(X1,X2))|in(X3,esk315_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk316_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))). 31.61/6.38 cnf(i_0_1005, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk136_2(X1,X2)|in(X3,X2)|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk137_2(X1,X2))|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_307, lemma, (apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk50_2(X1,X2),X2)|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2276, plain, (in(unordered_pair(unordered_pair(X1,esk344_4(X2,X3,relation_image(X2,X3),X1)),unordered_pair(esk344_4(X2,X3,relation_image(X2,X3),X1),esk344_4(X2,X3,relation_image(X2,X3),X1))),X2)|~relation(X2)|~in(X1,relation_image(X2,X3)))). 31.61/6.38 cnf(i_0_3448, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_997, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk135_2(X1,X2)|in(X3,X2)|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk137_2(X1,X2))|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2856, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|esk387_1(X3)!=X3|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3533, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(esk395_1(X4),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3239, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk387_1(X4),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3336, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk387_1(X4),esk386_0)|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_964, plain, (in(esk132_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk129_3(X1,X2,X3)),X2)|~function(X3)|~relation(X3)|~in(X4,esk131_3(X1,X2,X3))|~element(X2,powerset(powerset(X1))))). 31.61/6.38 cnf(i_0_968, plain, (in(esk132_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk130_3(X1,X2,X3)),X2)|~function(X3)|~relation(X3)|~in(X4,esk131_3(X1,X2,X3))|~element(X2,powerset(powerset(X1))))). 31.61/6.38 cnf(i_0_3117, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|subset(X4,esk387_1(X4))|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2923, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|subset(X4,esk395_1(X4))|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2074, plain, (in(esk311_2(X1,X2),esk313_2(X1,X2))|in(esk316_5(X1,X2,X3,X4,X4),X4)|in(X3,esk315_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))). 31.61/6.38 cnf(i_0_3419, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk391_1(X4),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3535, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk395_1(X4))|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3041, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X4,esk387_1(X4))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3222, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|in(esk387_1(X4),esk386_0)|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2032, plain, (in(esk312_2(X1,X2),esk314_2(X1,X2))|in(esk316_5(X1,X2,X3,X4,X4),X4)|in(X3,esk315_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))). 31.61/6.38 cnf(i_0_3045, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|subset(X4,esk387_1(X4))|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2851, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|subset(X4,esk395_1(X4))|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3138, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3401, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk391_1(X4))|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2673, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2565, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3318, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk387_1(X4),esk386_0)|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3338, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|subset(X4,esk395_1(X4))|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_661, plain, (in(set_difference(cast_as_carrier_subset(X1),esk92_2(X1,X2)),X2)|in(X3,esk94_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_653, plain, (in(set_difference(cast_as_carrier_subset(X1),esk93_2(X1,X2)),X2)|in(X3,esk94_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2872, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X3)!=X3|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2764, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X3)!=X3|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2584, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|esk391_1(X3)!=X3|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2680, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3024, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3204, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|subset(X4,esk391_1(X4))|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_124, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk24_2(X3,X4))|subset_complement(the_carrier(X3),esk25_4(X3,X4,X1,X2))!=X2|esk22_2(X3,X4)!=esk23_2(X3,X4)|~one_sorted_str(X3)|~in(X1,complements_of_subsets(the_carrier(X3),X4))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_2793, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk391_1(X4))|esk387_1(X5)!=X5|esk395_1(X6)!=X6|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2973, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk387_1(X4))|esk395_1(X5)!=X5|esk391_1(X6)!=X6|~ordinal(X1)|~in(X4,esk386_0)|~in(X6,esk390_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3140, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2572, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3470, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3362, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2642, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3825, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk419_3(X3,X4,X5))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk423_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))). 31.61/6.38 cnf(i_0_3006, lemma, (X1=empty_set|ordinal(esk392_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk391_1(X3))|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2779, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk395_1(X4))|esk387_1(X5)!=X5|esk391_1(X6)!=X6|~ordinal(X1)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_412, plain, (esk61_2(X1,X2)=esk62_2(X1,X2)|in(X3,esk66_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~subset(X2,X3))). 31.61/6.38 cnf(i_0_447, plain, (esk61_2(X1,X2)=esk63_2(X1,X2)|in(X3,esk66_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~subset(X2,X3))). 31.61/6.38 cnf(i_0_2657, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk388_0,omega)|esk386_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2368, lemma, (apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk366_3(X1,X2,X4))!=X4|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_475, plain, (esk64_2(X1,X2)=esk63_2(X1,X2)|in(X3,esk66_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~subset(X2,X3))). 31.61/6.38 cnf(i_0_433, plain, (esk65_2(X1,X2)=esk62_2(X1,X2)|in(X3,esk66_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~subset(X2,X3))). 31.61/6.38 cnf(i_0_312, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|esk50_2(X1,X2)=esk51_3(X1,X2,X3)|relation(esk52_2(X1,X2))|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_328, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|esk50_2(X1,X2)=esk51_3(X1,X2,X3)|relation(esk52_2(X1,X2))|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2387, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|esk366_3(X1,X2,X3)=esk365_2(X1,X2)|relation(esk367_2(X1,X2))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3120, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_419, plain, (in(X1,esk66_2(X2,X3))|subset(X3,esk62_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~subset(X3,X1))). 31.61/6.38 cnf(i_0_461, plain, (in(X1,esk66_2(X2,X3))|subset(X3,esk63_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~subset(X3,X1))). 31.61/6.38 cnf(i_0_2403, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|esk366_3(X1,X2,X3)=esk365_2(X1,X2)|relation(esk367_2(X1,X2))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_322, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|relation_dom(esk52_2(X1,X2))=X2|in(esk50_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_338, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|relation_dom(esk52_2(X1,X2))=X2|in(esk50_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3320, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|subset(X4,esk395_1(X4))|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_836, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X3),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,esk122_2(X1,X2)))). 31.61/6.38 cnf(i_0_468, plain, (closed_subset(esk64_2(X1,X2),X1)|in(X3,esk66_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~subset(X2,X3))). 31.61/6.38 cnf(i_0_426, plain, (closed_subset(esk65_2(X1,X2),X1)|in(X3,esk66_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~in(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~subset(X2,X3))). 31.61/6.38 cnf(i_0_890, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X3),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,esk121_2(X1,X2)))). 31.61/6.38 cnf(i_0_1950, plain, (subset_complement(the_carrier(X1),esk301_2(X1,X2))=esk302_2(X1,X2)|in(esk306_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk301_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1974, plain, (subset_complement(the_carrier(X1),esk299_2(X1,X2))=esk300_2(X1,X2)|in(esk306_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk299_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3122, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_841, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X3),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,esk122_2(X1,X2)))). 31.61/6.38 cnf(i_0_963, plain, (in(relation_image(X1,esk129_3(X2,X3,X1)),X3)|in(X4,esk131_3(X2,X3,X1))|~function(X1)|~relation(X1)|~in(X4,powerset(relation_dom(X1)))|~in(relation_image(X1,X4),X3)|~element(X3,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_967, plain, (in(relation_image(X1,esk130_3(X2,X3,X1)),X3)|in(X4,esk131_3(X2,X3,X1))|~function(X1)|~relation(X1)|~in(X4,powerset(relation_dom(X1)))|~in(relation_image(X1,X4),X3)|~element(X3,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_895, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X3),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,esk121_2(X1,X2)))). 31.61/6.38 cnf(i_0_2379, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|relation(esk367_2(X1,X2))|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2382, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|function(esk367_2(X1,X2))|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1305, plain, (unordered_pair(unordered_pair(esk197_3(X1,X2,X3),esk197_3(X1,X2,X3)),unordered_pair(esk197_3(X1,X2,X3),esk198_3(X1,X2,X3)))=esk196_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk196_3(X1,X2,X3),X3))). 31.61/6.38 cnf(i_0_2677, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2569, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3315, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk387_1(X4),esk386_0)|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2395, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|relation(esk367_2(X1,X2))|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2398, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|function(esk367_2(X1,X2))|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1647, 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))). 31.61/6.38 cnf(i_0_3270, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2921, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk395_1(X4),esk394_0)|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3243, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|in(esk388_0,omega)|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2849, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk388_0,omega)|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3162, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1856, plain, (in(esk279_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk282_2(X1,X2))|element(esk284_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1802, plain, (subset_complement(the_carrier(X1),esk267_2(X1,X2))=esk268_2(X1,X2)|in(X3,esk270_2(X1,X2))|subset_complement(the_carrier(X1),esk271_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~in(X4,X2)|~element(esk267_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1309, plain, (unordered_pair(unordered_pair(esk194_4(X1,X2,cartesian_product2(X1,X2),X3),esk194_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk194_4(X1,X2,cartesian_product2(X1,X2),X3),esk195_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))). 31.61/6.38 cnf(i_0_2622, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1518, plain, (X1=empty_set|in(esk235_2(X2,X1),X1)|in(X3,esk236_1(X2))|esk237_4(X2,X3,X3,X3)!=empty_set|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(esk234_1(X2),omega)|~element(X1,powerset(powerset(esk234_1(X2)))))). 31.61/6.38 cnf(i_0_3072, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1790, plain, (subset_complement(the_carrier(X1),esk267_2(X1,X2))=esk269_2(X1,X2)|in(X3,esk270_2(X1,X2))|subset_complement(the_carrier(X1),esk271_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~in(X4,X2)|~element(esk267_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2876, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|esk387_1(X4)!=X4|esk388_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2768, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|esk387_1(X4)!=X4|esk390_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_1931, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk303_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk304_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|esk298_2(X3,X4)!=esk297_2(X3,X4)|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_2964, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1530, plain, (empty_set=X1|in(esk233_2(X2,X1),X1)|in(X3,esk236_1(X2))|esk237_4(X2,X3,X3,X3)!=empty_set|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(esk232_1(X2),omega)|~element(X1,powerset(powerset(esk232_1(X2)))))). 31.61/6.38 cnf(i_0_2811, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|esk387_1(X5)!=X5|esk395_1(X6)!=X6|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3171, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|esk395_1(X5)!=X5|esk391_1(X6)!=X6|~ordinal(X1)|~in(X4,esk386_0)|~in(X6,esk390_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2604, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|subset(X3,esk391_1(X3))|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2588, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|esk386_0!=empty_set|esk391_1(X4)!=X4|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3443, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3246, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk387_1(X4),esk386_0)|in(esk388_0,omega)|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_837, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X3),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,esk122_2(X1,X2)))). 31.61/6.38 cnf(i_0_2777, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|esk387_1(X5)!=X5|esk391_1(X6)!=X6|~ordinal(X1)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2070, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk311_2(X1,X4),esk313_2(X1,X4))|~relation(X4)|~in(X3,esk318_3(X1,X4,X2))|~in(X2,esk315_2(X1,X4)))). 31.61/6.38 cnf(i_0_891, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X3),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,esk121_2(X1,X2)))). 31.61/6.38 cnf(i_0_3445, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk395_1(X4))|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3515, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk395_1(X4),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3517, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk395_1(X4))|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2745, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1224, plain, (unordered_pair(esk174_1(X1),esk174_1(X1))=esk175_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk178_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))). 31.61/6.38 cnf(i_0_265, plain, (set_difference(esk42_2(X1,X2),unordered_pair(X1,X1))=esk40_2(X1,X2)|set_difference(esk45_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.38 cnf(i_0_2028, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk312_2(X1,X4),esk314_2(X1,X4))|~relation(X4)|~in(X3,esk318_3(X1,X4,X2))|~in(X2,esk315_2(X1,X4)))). 31.61/6.38 cnf(i_0_2989, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk391_1(X4))|subset(X5,esk387_1(X5))|esk394_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3067, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk395_1(X4))|subset(X5,esk387_1(X5))|esk388_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2959, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk395_1(X4))|subset(X5,esk387_1(X5))|esk390_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_275, plain, (set_difference(esk41_2(X1,X2),unordered_pair(X1,X1))=esk39_2(X1,X2)|set_difference(esk45_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~in(X3,esk43_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.38 cnf(i_0_2727, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2944, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X3)!=X3|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2926, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X3)!=X3|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1194, plain, (unordered_pair(esk176_1(X1),esk176_1(X1))=esk177_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk178_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))). 31.61/6.38 cnf(i_0_2495, 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)))). 31.61/6.38 cnf(i_0_2599, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk395_1(X4))|subset(X5,esk391_1(X5))|esk386_0!=empty_set|~ordinal(X1)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1500, plain, (esk235_2(X1,X2)=X3|X2=empty_set|in(esk239_2(X1,X4),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(esk234_1(X1),omega)|~in(X4,esk236_1(X1))|~in(X3,X2)|~element(X2,powerset(powerset(esk234_1(X1))))|~subset(esk235_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1536, plain, (esk233_2(X1,X2)=X3|empty_set=X2|in(esk239_2(X1,X4),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(esk232_1(X1),omega)|~in(X4,esk236_1(X1))|~in(X3,X2)|~element(X2,powerset(powerset(esk232_1(X1))))|~subset(esk233_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3430, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2752, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|ordinal(esk388_0)|in(esk396_2(X4,X3),X3)|esk386_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3542, lemma, (empty_set=X1|X2=empty_set|ordinal(esk388_0)|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X3)|~in(esk392_0,omega)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3767, lemma, (esk406_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)),esk403_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3048, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk388_0,omega)|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3762, lemma, (X1=esk402_2(X2,X3)|X3=empty_set|X4=empty_set|in(esk399_2(X5,X4),X4)|~ordinal(X5)|~ordinal(X2)|~in(X5,omega)|~in(X5,esk398_0)|~in(X2,omega)|~in(X1,X3)|~element(X4,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~subset(esk402_2(X2,X3),X1))). 31.61/6.38 cnf(i_0_3759, lemma, (esk399_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk402_2(X5,X4),X4)|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk398_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk399_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_282, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk43_2(X2,X3))|in(esk41_2(X2,X3),X3)|~ordinal(X2)|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2))))))). 31.61/6.38 cnf(i_0_2394, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|function(esk367_2(X1,X2))|element(esk366_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2410, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|function(esk367_2(X1,X2))|element(esk366_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_272, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk43_2(X2,X3))|in(esk42_2(X2,X3),X3)|~ordinal(X2)|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2))))))). 31.61/6.38 cnf(i_0_3050, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|subset(X3,esk395_1(X3))|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3248, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|in(esk388_0,omega)|subset(X4,esk395_1(X4))|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_317, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|function(esk52_2(X1,X2))|element(esk51_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_333, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|function(esk52_2(X1,X2))|element(esk51_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1774, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk264_3(X3,X4,X5))|~function(X5)|~relation(X4)|~relation(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)))). 31.61/6.38 cnf(i_0_2749, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|ordinal(esk388_0)|in(esk393_1(X4),X4)|esk386_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_724, lemma, (esk99_2(X1,X2)=esk96_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)),esk101_2(X1,X2))|~in(X4,esk102_4(X1,X2,X5,X3)))). 31.61/6.38 cnf(i_0_676, lemma, (esk100_2(X1,X2)=esk96_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)),esk101_2(X1,X2))|~in(X4,esk102_4(X1,X2,X5,X3)))). 31.61/6.38 cnf(i_0_3007, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|subset(X5,esk387_1(X5))|esk394_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3342, lemma, (X1=empty_set|ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1803, plain, (subset_complement(the_carrier(X1),esk267_2(X1,X2))=esk268_2(X1,X2)|esk271_4(X1,X2,X3,X4)=X4|in(X3,esk270_2(X1,X2))|~one_sorted_str(X1)|~in(X4,X2)|~element(esk267_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1791, plain, (subset_complement(the_carrier(X1),esk267_2(X1,X2))=esk269_2(X1,X2)|esk271_4(X1,X2,X3,X4)=X4|in(X3,esk270_2(X1,X2))|~one_sorted_str(X1)|~in(X4,X2)|~element(esk267_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3228, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk387_1(X4),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3324, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3065, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|subset(X5,esk387_1(X5))|esk388_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2957, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|subset(X5,esk387_1(X5))|esk390_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2597, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|subset(X5,esk391_1(X5))|esk386_0!=empty_set|~ordinal(X1)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3187, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|subset(X5,esk391_1(X5))|esk394_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3144, lemma, (X1=empty_set|ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1869, plain, (subset_complement(the_carrier(X1),esk279_2(X1,X2))=esk281_2(X1,X2)|in(esk283_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X3,esk282_2(X1,X2))|~element(esk279_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3408, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk391_1(X4),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3126, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3265, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|subset(X5,esk395_1(X5))|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3157, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|subset(X5,esk395_1(X5))|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2617, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|subset(X5,esk395_1(X5))|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk390_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2684, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2838, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X3)!=X3|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1863, plain, (subset_complement(the_carrier(X1),esk279_2(X1,X2))=esk280_2(X1,X2)|in(esk283_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X3,esk282_2(X1,X2))|~element(esk279_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3030, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3378, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk391_1(X3)!=X3|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_808, lemma, (in(apply(esk125_2(X1,X2),X3),esk126_3(X1,X2,X3))|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_2992, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk391_1(X3))|subset(X4,esk387_1(X4))|esk395_1(X5)!=X5|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X5,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2798, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|subset(X4,esk391_1(X4))|esk387_1(X5)!=X5|~ordinal(X2)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3467, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3359, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2639, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_852, lemma, (esk126_3(X1,X2,X3)=X3|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk119_2(X1,X2),esk122_2(X1,X2))|~relation(X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_355, lemma, (apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk47_2(X1,X2),X2)|in(esk50_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2978, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|subset(X4,esk387_1(X4))|esk391_1(X5)!=X5|~ordinal(X2)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_303, lemma, (apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk51_3(X1,X2,X4),powerset(the_carrier(X1)))|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2948, lemma, (empty_set=X1|X2=empty_set|ordinal(esk388_0)|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|esk387_1(X4)!=X4|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2873, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|esk387_1(X4)!=X4|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3826, lemma, (in(esk423_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)),esk419_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))). 31.61/6.38 cnf(i_0_906, lemma, (esk126_3(X1,X2,X3)=X3|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk120_2(X1,X2),esk121_2(X1,X2))|~relation(X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_846, lemma, (esk126_3(X1,X2,X3)=X3|in(esk119_2(X1,X2),esk122_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_900, lemma, (esk126_3(X1,X2,X3)=X3|in(esk120_2(X1,X2),esk121_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_2679, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|esk386_0!=empty_set|esk388_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_1094, lemma, (in(unordered_pair(unordered_pair(X1,esk152_4(X2,X3,X4,X1)),unordered_pair(esk152_4(X2,X3,X4,X1),esk152_4(X2,X3,X4,X1))),X4)|relation_rng_as_subset(X2,X3,X4)!=X3|~relation_of2_as_subset(X4,X2,X3)|~in(X1,X3))). 31.61/6.38 cnf(i_0_2765, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|esk387_1(X4)!=X4|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2585, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|esk386_0!=empty_set|esk391_1(X4)!=X4|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_814, lemma, (in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(apply(esk125_2(X1,X2),X4),esk126_3(X1,X2,X4))|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(X3,esk123_2(X1,X2))|~in(X4,X1))). 31.61/6.38 cnf(i_0_2854, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X3)!=X3|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2571, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|esk386_0!=empty_set|esk390_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3027, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|subset(X4,esk387_1(X4))|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3387, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk391_1(X4))|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk390_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2833, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|subset(X4,esk395_1(X4))|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2655, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_159, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk22_2(X1,X2)|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk24_2(X1,X2))|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3373, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk395_1(X4))|esk391_1(X5)!=X5|~ordinal(X1)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1472, plain, (in(esk238_5(X1,X2,X2,X2,X3),esk237_4(X1,X2,X2,X2))|in(X2,esk236_1(X1))|esk231_1(X1)!=esk230_1(X1)|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.38 cnf(i_0_3205, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|in(esk387_1(X5),esk386_0)|esk394_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3252, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|in(esk388_0,omega)|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_151, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk23_2(X1,X2)|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk24_2(X1,X2))|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3390, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk391_1(X4))|~ordinal(X2)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3054, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|subset(X3,esk387_1(X3))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3263, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk387_1(X5),esk386_0)|esk388_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3155, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk387_1(X5),esk386_0)|esk390_0!=empty_set|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2615, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk391_1(X5),esk390_0)|esk386_0!=empty_set|~ordinal(X1)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3139, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|subset(X4,esk395_1(X4))|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3425, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3427, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk395_1(X4))|~ordinal(X1)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2784, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|esk387_1(X3)!=X3|esk391_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1866, plain, (subset_complement(the_carrier(X1),esk279_2(X1,X2))=esk281_2(X1,X2)|in(X3,esk282_2(X1,X2))|subset_complement(the_carrier(X1),esk284_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(esk279_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1431, plain, (X1=relation_inverse_image(X2,X3)|in(unordered_pair(unordered_pair(esk223_3(X2,X3,X1),esk223_3(X2,X3,X1)),unordered_pair(esk223_3(X2,X3,X1),esk224_3(X2,X3,X1))),X2)|in(esk223_3(X2,X3,X1),X1)|~relation(X2))). 31.61/6.38 cnf(i_0_3005, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|subset(X4,esk391_1(X4))|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3010, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|subset(X4,esk387_1(X4))|esk395_1(X5)!=X5|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X5,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3190, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|subset(X4,esk391_1(X4))|esk395_1(X5)!=X5|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X5,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2796, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|subset(X4,esk391_1(X4))|esk387_1(X5)!=X5|~ordinal(X2)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2279, plain, (relation_image(X1,X2)=X3|in(unordered_pair(unordered_pair(esk342_3(X1,X2,X3),esk343_3(X1,X2,X3)),unordered_pair(esk343_3(X1,X2,X3),esk343_3(X1,X2,X3))),X1)|in(esk342_3(X1,X2,X3),X3)|~relation(X1))). 31.61/6.38 cnf(i_0_1860, plain, (subset_complement(the_carrier(X1),esk279_2(X1,X2))=esk280_2(X1,X2)|in(X3,esk282_2(X1,X2))|subset_complement(the_carrier(X1),esk284_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(esk279_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_454, plain, (in(X1,esk66_2(X2,X3))|element(esk64_2(X2,X3),powerset(the_carrier(X2)))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~subset(X3,X1))). 31.61/6.38 cnf(i_0_3230, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X4,esk395_1(X4))|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_313, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|esk50_2(X1,X2)=esk51_3(X1,X2,X3)|function(esk52_2(X1,X2))|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2816, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|subset(X4,esk395_1(X4))|esk387_1(X5)!=X5|~ordinal(X2)|~in(X5,esk386_0)|~in(X3,esk390_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2976, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|subset(X4,esk387_1(X4))|esk391_1(X5)!=X5|~ordinal(X2)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3176, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|subset(X4,esk395_1(X4))|esk391_1(X5)!=X5|~ordinal(X2)|~in(X3,esk386_0)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_329, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|esk50_2(X1,X2)=esk51_3(X1,X2,X3)|function(esk52_2(X1,X2))|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_440, plain, (in(X1,esk66_2(X2,X3))|element(esk65_2(X2,X3),powerset(the_carrier(X2)))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~subset(X3,X1))). 31.61/6.38 cnf(i_0_3410, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk395_1(X4))|~ordinal(X2)|~in(X3,esk390_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2390, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|esk366_3(X1,X2,X3)=esk365_2(X1,X2)|function(esk367_2(X1,X2))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1935, plain, (subset_complement(the_carrier(X1),esk306_4(X1,X2,X3,X4))=esk307_4(X1,X2,X3,X4)|esk296_2(X1,X2)=esk297_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk306_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1991, plain, (subset_complement(the_carrier(X1),esk306_4(X1,X2,X3,X4))=esk307_4(X1,X2,X3,X4)|esk296_2(X1,X2)=esk298_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk306_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2662, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk388_0,omega)|esk386_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2734, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X4,X3),X3)|esk386_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_318, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|relation_dom(esk52_2(X1,X2))=X2|element(esk51_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2406, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|esk366_3(X1,X2,X3)=esk365_2(X1,X2)|function(esk367_2(X1,X2))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_77, plain, (subset_complement(the_carrier(X1),esk10_4(X1,X2,X3,X4))=esk11_4(X1,X2,X3,X4)|esk1_2(X1,X2)=esk2_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk10_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_69, plain, (subset_complement(the_carrier(X1),esk10_4(X1,X2,X3,X4))=esk11_4(X1,X2,X3,X4)|esk1_2(X1,X2)=esk3_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk10_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_334, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|relation_dom(esk52_2(X1,X2))=X2|element(esk51_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3452, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X3)|~in(esk392_0,omega)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3032, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X3,esk395_1(X3))|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3392, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|subset(X3,esk395_1(X3))|subset(X4,esk391_1(X4))|~ordinal(X2)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1967, plain, (subset_complement(the_carrier(X1),esk306_4(X1,X2,X3,X4))=esk307_4(X1,X2,X3,X4)|in(esk299_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk306_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1959, plain, (subset_complement(the_carrier(X1),esk306_4(X1,X2,X3,X4))=esk307_4(X1,X2,X3,X4)|in(esk301_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk306_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2199, plain, (unordered_pair(unordered_pair(esk331_2(X1,X2),esk331_2(X1,X2)),unordered_pair(esk331_2(X1,X2),esk332_2(X1,X2)))=esk327_2(X1,X2)|esk336_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3524, lemma, (empty_set=X1|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X3)|~in(esk392_0,omega)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3539, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3521, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3208, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|in(esk387_1(X4),esk386_0)|esk395_1(X5)!=X5|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X5,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2217, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk326_2(X1,X2)|esk336_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_1506, plain, (esk235_2(X1,X2)=X3|X2=empty_set|in(X4,esk236_1(X1))|esk237_4(X1,X4,X4,X4)!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))|~in(esk234_1(X1),omega)|~in(X3,X2)|~element(X2,powerset(powerset(esk234_1(X1))))|~subset(esk235_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1542, plain, (esk233_2(X1,X2)=X3|empty_set=X2|in(X4,esk236_1(X1))|esk237_4(X1,X4,X4,X4)!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))|~in(esk232_1(X1),omega)|~in(X3,X2)|~element(X2,powerset(powerset(esk232_1(X1))))|~subset(esk233_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_314, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|esk50_2(X1,X2)=esk51_3(X1,X2,X3)|relation_dom(esk52_2(X1,X2))=X2|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1871, plain, (subset_complement(the_carrier(X1),esk279_2(X1,X2))=esk281_2(X1,X2)|subset_complement(the_carrier(X1),esk283_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~in(X3,esk282_2(X1,X2))|~element(esk283_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk279_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1865, plain, (subset_complement(the_carrier(X1),esk279_2(X1,X2))=esk280_2(X1,X2)|subset_complement(the_carrier(X1),esk283_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~in(X3,esk282_2(X1,X2))|~element(esk283_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk279_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2731, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk393_1(X4),X4)|esk386_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_330, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|esk50_2(X1,X2)=esk51_3(X1,X2,X3)|relation_dom(esk52_2(X1,X2))=X2|~one_sorted_str(X1)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1801, plain, (subset_complement(the_carrier(X1),esk267_2(X1,X2))=esk268_2(X1,X2)|subset_complement(the_carrier(X1),esk272_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~in(X3,esk270_2(X1,X2))|~element(esk272_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk267_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1789, plain, (subset_complement(the_carrier(X1),esk267_2(X1,X2))=esk269_2(X1,X2)|subset_complement(the_carrier(X1),esk272_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~in(X3,esk270_2(X1,X2))|~element(esk272_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk267_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_7, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk8_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk12_7(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|esk3_2(X3,X4)!=esk2_2(X3,X4)|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_3268, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2659, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|in(esk388_0,omega)|esk386_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2878, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|esk387_1(X5)!=X5|esk388_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2770, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|esk387_1(X5)!=X5|esk390_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2590, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|esk386_0!=empty_set|esk391_1(X5)!=X5|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3160, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3225, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3405, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X5)!=X5|~ordinal(X1)|~in(X4,esk390_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2831, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3371, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|esk391_1(X5)!=X5|~ordinal(X1)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2814, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk391_1(X4),esk390_0)|esk387_1(X5)!=X5|~ordinal(X2)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2620, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3137, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(esk395_1(X4),esk394_0)|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3337, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(esk387_1(X4),esk386_0)|subset(X5,esk395_1(X5))|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3070, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X3,esk387_1(X3))|esk388_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2381, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2397, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1939, plain, (esk296_2(X1,X2)=esk297_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk303_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk304_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2962, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X3,esk387_1(X3))|esk390_0!=empty_set|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3023, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk391_1(X4),esk390_0)|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3203, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk387_1(X4),esk386_0)|subset(X5,esk391_1(X5))|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2700, lemma, (X1=empty_set|X2=empty_set|ordinal(esk392_0)|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3174, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk387_1(X4),esk386_0)|esk391_1(X5)!=X5|~ordinal(X2)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2602, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X3,esk391_1(X3))|esk386_0!=empty_set|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_136, lemma, (subset_complement(the_carrier(X1),X2)=X3|in(esk21_2(X1,X4),complements_of_subsets(the_carrier(X1),X4))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk24_2(X1,X4))|~element(X4,powerset(powerset(the_carrier(X1))))|~element(X2,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_1995, plain, (esk296_2(X1,X2)=esk298_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk303_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk304_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_988, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk137_2(X3,X4))|element(esk138_4(X3,X4,X1,X2),powerset(the_carrier(X3)))|esk135_2(X3,X4)!=esk136_2(X3,X4)|~one_sorted_str(X3)|~in(X1,X4)|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_2875, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|esk387_1(X5)!=X5|esk388_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2767, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|esk387_1(X5)!=X5|esk390_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2587, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|esk386_0!=empty_set|esk391_1(X5)!=X5|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1523, plain, (X1=empty_set|in(esk235_2(X2,X1),X1)|in(X3,esk236_1(X2))|in(X3,omega)|~ordinal(X2)|~ordinal(X3)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(esk234_1(X2),omega)|~element(X1,powerset(powerset(esk234_1(X2)))))). 31.61/6.38 cnf(i_0_299, lemma, (apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk50_2(X1,X2)=esk51_3(X1,X2,X4)|esk48_2(X1,X2)!=esk49_2(X1,X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2858, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|in(esk388_0,omega)|esk387_1(X4)!=X4|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2930, lemma, (empty_set=X1|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|esk387_1(X4)!=X4|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3340, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1535, plain, (empty_set=X1|in(esk233_2(X2,X1),X1)|in(X3,esk236_1(X2))|in(X3,omega)|~ordinal(X2)|~ordinal(X3)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(esk232_1(X2),omega)|~element(X1,powerset(powerset(esk232_1(X2)))))). 31.61/6.38 cnf(i_0_1516, plain, (empty_set=X1|X2=empty_set|in(esk241_3(X3,X4,X1),X1)|in(esk235_2(X3,X2),X2)|~ordinal(X3)|~in(esk240_2(X3,X4),omega)|~in(esk234_1(X3),omega)|~in(X4,esk236_1(X3))|~element(X1,powerset(powerset(esk240_2(X3,X4))))|~element(X2,powerset(powerset(esk234_1(X3)))))). 31.61/6.38 cnf(i_0_3322, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1867, plain, (subset_complement(the_carrier(X1),esk279_2(X1,X2))=esk281_2(X1,X2)|esk284_4(X1,X2,X3,X4)=X4|in(X3,esk282_2(X1,X2))|~one_sorted_str(X1)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(esk279_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1861, plain, (subset_complement(the_carrier(X1),esk279_2(X1,X2))=esk280_2(X1,X2)|esk284_4(X1,X2,X3,X4)=X4|in(X3,esk282_2(X1,X2))|~one_sorted_str(X1)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(esk279_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2478, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk372_3(X3,X4,X5))|element(esk373_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2),powerset(the_carrier(X3)))|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_3142, lemma, (X1=empty_set|ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X3,esk387_1(X3))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1528, plain, (empty_set=X1|empty_set=X2|in(esk241_3(X3,X4,X1),X1)|in(esk233_2(X3,X2),X2)|~ordinal(X3)|~in(esk240_2(X3,X4),omega)|~in(esk232_1(X3),omega)|~in(X4,esk236_1(X3))|~element(X1,powerset(powerset(esk240_2(X3,X4))))|~element(X2,powerset(powerset(esk232_1(X3)))))). 31.61/6.38 cnf(i_0_666, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk101_2(X3,X4))|esk98_2(X3,X4)!=esk97_2(X3,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk103_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))). 31.61/6.38 cnf(i_0_1010, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk137_2(X3,X4))|in(esk134_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk138_4(X3,X4,X1,X2))!=X2|~one_sorted_str(X3)|~in(X1,X4)|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_3124, lemma, (X1=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X3,esk387_1(X3))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2945, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|esk387_1(X4)!=X4|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2927, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|esk387_1(X4)!=X4|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3210, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk391_1(X4),esk390_0)|in(esk387_1(X5),esk386_0)|~ordinal(X2)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2836, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X3)!=X3|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2751, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|ordinal(esk388_0)|esk386_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3760, lemma, (esk399_2(X1,X2)=X3|X4=esk402_2(X5,X6)|X6=empty_set|X2=empty_set|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk398_0)|~in(X5,omega)|~in(X3,X2)|~in(X4,X6)|~element(X2,powerset(powerset(X1)))|~element(X6,powerset(powerset(X5)))|~subset(esk399_2(X1,X2),X3)|~subset(esk402_2(X5,X6),X4))). 31.61/6.38 cnf(i_0_3335, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(esk395_1(X4),esk394_0)|in(esk387_1(X5),esk386_0)|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3376, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|esk391_1(X3)!=X3|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2376, lemma, (apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk366_3(X1,X2,X4),powerset(the_carrier(X1)))|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_3465, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3357, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1932, plain, (esk304_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)),esk303_3(X1,X2,X3))|esk298_2(X1,X2)!=esk297_2(X1,X2)|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3234, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3221, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk392_0)|in(esk391_1(X4),esk390_0)|in(esk387_1(X5),esk386_0)|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3121, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|subset(X4,esk395_1(X4))|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3049, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|subset(X4,esk395_1(X4))|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3414, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2637, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_343, lemma, (apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk47_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk51_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3012, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk391_1(X4),esk390_0)|subset(X5,esk387_1(X5))|~ordinal(X2)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3036, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X3,esk387_1(X3))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_116, 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(X1,X5),unordered_pair(X1,X1)),X3)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),X3)|~in(X1,X4)|~in(X2,X4)|~in(X5,X4))). 31.61/6.38 cnf(i_0_1837, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk277_3(X3,X4,X5))|~function(X5)|~relation(X4)|~relation(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))). 31.61/6.38 cnf(i_0_2786, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|esk387_1(X4)!=X4|esk391_1(X5)!=X5|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_1693, 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))). 31.61/6.38 cnf(i_0_3396, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|subset(X3,esk391_1(X3))|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3472, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3364, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2644, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3434, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X3)|~in(esk392_0,omega)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3192, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|in(esk387_1(X4),esk386_0)|subset(X5,esk391_1(X5))|~ordinal(X2)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3832, lemma, (unordered_pair(unordered_pair(esk420_4(X1,X2,X3,X4),esk420_4(X1,X2,X3,X4)),unordered_pair(esk420_4(X1,X2,X3,X4),esk421_4(X1,X2,X3,X4)))=X4|empty(X1)|~relation(X2)|~in(X4,esk419_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_1568, plain, (ordinal(esk232_1(X1))|in(esk238_5(X1,X2,X2,X2,X3),esk237_4(X1,X2,X2,X2))|in(X2,esk236_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.38 cnf(i_0_1484, plain, (ordinal(esk234_1(X1))|in(esk238_5(X1,X2,X2,X2,X3),esk237_4(X1,X2,X2,X2))|in(X2,esk236_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.38 cnf(i_0_3449, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1954, plain, (subset_complement(the_carrier(X1),esk301_2(X1,X2))=esk302_2(X1,X2)|in(esk305_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk301_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_922, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(apply(esk125_2(X1,X2),X4),esk126_3(X1,X2,X4))|~relation(X2)|~in(X3,esk123_2(X1,X2))|~in(X4,X1))). 31.61/6.38 cnf(i_0_2683, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2702, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2991, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk391_1(X4))|subset(X5,esk387_1(X5))|esk395_1(X6)!=X6|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2797, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk395_1(X4))|subset(X5,esk391_1(X5))|esk387_1(X6)!=X6|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1978, plain, (subset_complement(the_carrier(X1),esk299_2(X1,X2))=esk300_2(X1,X2)|in(esk305_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk299_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_28, plain, (subset_complement(the_carrier(X1),esk6_2(X1,X2))=esk7_2(X1,X2)|in(esk10_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk6_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_868, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(apply(esk125_2(X1,X2),X4),esk126_3(X1,X2,X4))|~relation(X2)|~in(X3,esk123_2(X1,X2))|~in(X4,X1))). 31.61/6.38 cnf(i_0_3250, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|in(esk388_0,omega)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2977, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk395_1(X4))|subset(X5,esk387_1(X5))|esk391_1(X6)!=X6|~ordinal(X1)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2950, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|ordinal(esk388_0)|in(esk396_2(X4,X3),X3)|esk387_1(X5)!=X5|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_700, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk96_2(X1,X4),X1)|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk101_2(X1,X4))|~in(X3,esk102_4(X1,X4,X5,X2)))). 31.61/6.38 cnf(i_0_3052, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk388_0,omega)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X3,esk387_1(X3))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_60, plain, (subset_complement(the_carrier(X1),esk4_2(X1,X2))=esk5_2(X1,X2)|in(esk10_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk4_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2871, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X4)!=X4|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2763, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X4)!=X4|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3212, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|in(esk387_1(X4),esk386_0)|subset(X5,esk395_1(X5))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X5,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_667, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk101_2(X3,X4))|in(esk103_5(X3,X4,X1,X2,X1),X1)|esk98_2(X3,X4)!=esk97_2(X3,X4)|~relation(X4)|~in(X2,X1)|~in(X1,X3))). 31.61/6.38 cnf(i_0_638, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk88_3(X2,X3,X1),esk88_3(X2,X3,X1)),unordered_pair(esk88_3(X2,X3,X1),esk89_3(X2,X3,X1))),X1)|in(esk88_3(X2,X3,X1),X3)|~relation(X1)|~relation(X2))). 31.61/6.38 cnf(i_0_2583, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|esk391_1(X4)!=X4|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2782, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X3)!=X3|esk391_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3469, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3361, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1592, plain, (esk229_1(X1)=esk230_1(X1)|in(esk238_5(X1,X2,X2,X2,X3),esk237_4(X1,X2,X2,X2))|in(X2,esk236_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.38 cnf(i_0_215, plain, (relation_rng_restriction(X1,X2)=X3|in(unordered_pair(unordered_pair(esk35_3(X1,X2,X3),esk34_3(X1,X2,X3)),unordered_pair(esk34_3(X1,X2,X3),esk34_3(X1,X2,X3))),X3)|in(esk35_3(X1,X2,X3),X1)|~relation(X3)|~relation(X2))). 31.61/6.38 cnf(i_0_1580, plain, (esk229_1(X1)=esk231_1(X1)|in(esk238_5(X1,X2,X2,X2,X3),esk237_4(X1,X2,X2,X2))|in(X2,esk236_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.38 cnf(i_0_1556, plain, (esk231_1(X1)=esk232_1(X1)|in(esk238_5(X1,X2,X2,X2,X3),esk237_4(X1,X2,X2,X2))|in(X2,esk236_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.38 cnf(i_0_2641, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1804, plain, (subset_complement(the_carrier(X1),esk267_2(X1,X2))=esk268_2(X1,X2)|in(X3,esk270_2(X1,X2))|element(esk271_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X4,X2)|~element(esk267_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_940, lemma, (in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(apply(esk125_2(X1,X2),X4),esk126_3(X1,X2,X4))|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(X3,esk123_2(X1,X2))|~in(X4,X1))). 31.61/6.38 cnf(i_0_1792, plain, (subset_complement(the_carrier(X1),esk267_2(X1,X2))=esk269_2(X1,X2)|in(X3,esk270_2(X1,X2))|element(esk271_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X4,X2)|~element(esk267_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1496, plain, (esk230_1(X1)=esk234_1(X1)|in(esk238_5(X1,X2,X2,X2,X3),esk237_4(X1,X2,X2,X2))|in(X2,esk236_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk237_4(X1,X2,X2,X2)))). 31.61/6.38 cnf(i_0_1519, plain, (X1=empty_set|in(esk235_2(X2,X1),X1)|in(X3,esk236_1(X2))|esk238_5(X2,X3,X3,X3,X4)!=X4|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X4,esk237_4(X2,X3,X3,X3))|~in(esk234_1(X2),omega)|~element(X1,powerset(powerset(esk234_1(X2)))))). 31.61/6.38 cnf(i_0_2195, plain, (unordered_pair(unordered_pair(esk331_2(X1,X2),esk331_2(X1,X2)),unordered_pair(esk331_2(X1,X2),esk332_2(X1,X2)))=esk327_2(X1,X2)|empty(X1)|in(esk337_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_2840, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X4)!=X4|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3380, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|esk391_1(X4)!=X4|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2855, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk388_0,omega)|esk387_1(X4)!=X4|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2994, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk395_1(X3),esk394_0)|subset(X4,esk391_1(X4))|subset(X5,esk387_1(X5))|~ordinal(X2)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2213, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk326_2(X1,X2)|empty(X1)|in(esk337_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_1531, plain, (empty_set=X1|in(esk233_2(X2,X1),X1)|in(X3,esk236_1(X2))|esk238_5(X2,X3,X3,X3,X4)!=X4|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X4,esk237_4(X2,X3,X3,X3))|~in(esk232_1(X2),omega)|~element(X1,powerset(powerset(esk232_1(X2)))))). 31.61/6.38 cnf(i_0_3119, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk395_1(X4),esk394_0)|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3319, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk387_1(X4),esk386_0)|subset(X5,esk395_1(X5))|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2389, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk366_3(X1,X2,X3)=esk365_2(X1,X2)|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3537, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3519, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3014, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|subset(X4,esk395_1(X4))|subset(X5,esk387_1(X5))|~ordinal(X2)|~in(X5,esk386_0)|~in(X3,esk390_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3047, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk388_0,omega)|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3247, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|in(esk388_0,omega)|subset(X5,esk395_1(X5))|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2405, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk366_3(X1,X2,X3)=esk365_2(X1,X2)|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2372, lemma, (apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk366_3(X1,X2,X4)=esk365_2(X1,X2)|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_3194, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|subset(X4,esk395_1(X4))|subset(X5,esk391_1(X5))|~ordinal(X2)|~in(X3,esk386_0)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2064, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk311_2(X1,X2),X3),unordered_pair(esk311_2(X1,X2),esk311_2(X1,X2))),X2)|in(X4,esk318_3(X1,X2,X4))|~relation(X2)|~in(X3,esk313_2(X1,X2))|~in(X4,esk315_2(X1,X2)))). 31.61/6.38 cnf(i_0_916, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|in(apply(esk125_2(X1,X2),X3),esk126_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_862, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|in(apply(esk125_2(X1,X2),X3),esk126_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_2036, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk312_2(X1,X2),X3),unordered_pair(esk312_2(X1,X2),esk312_2(X1,X2))),X2)|in(X4,esk318_3(X1,X2,X4))|~relation(X2)|~in(X3,esk314_2(X1,X2))|~in(X4,esk315_2(X1,X2)))). 31.61/6.38 cnf(i_0_3544, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|ordinal(esk388_0)|in(esk396_2(X4,X3),X3)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~in(esk392_0,omega)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3272, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk387_1(X4),esk386_0)|in(esk393_1(X1),X1)|esk388_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3164, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk387_1(X4),esk386_0)|in(esk393_1(X1),X1)|esk390_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2624, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk391_1(X4),esk390_0)|in(esk393_1(X1),X1)|esk386_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2061, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk311_2(X1,X2),X3),unordered_pair(esk311_2(X1,X2),esk311_2(X1,X2))),X2)|in(esk317_3(X1,X2,X4),X1)|~relation(X2)|~in(X3,esk313_2(X1,X2))|~in(X4,esk315_2(X1,X2)))). 31.61/6.38 cnf(i_0_934, lemma, (in(apply(esk125_2(X1,X2),X3),esk126_3(X1,X2,X3))|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_2947, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|ordinal(esk388_0)|in(esk393_1(X4),X4)|esk387_1(X5)!=X5|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_585, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation_isomorphism(X3,X4,X5)|~function(X5)|~relation(X3)|~relation(X4)|~relation(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)))). 31.61/6.38 cnf(i_0_3074, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|subset(X4,esk387_1(X4))|esk388_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2966, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|subset(X4,esk387_1(X4))|esk390_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2606, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|subset(X4,esk391_1(X4))|esk386_0!=empty_set|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2393, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk366_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2033, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk312_2(X1,X2),X3),unordered_pair(esk312_2(X1,X2),esk312_2(X1,X2))),X2)|in(esk317_3(X1,X2,X4),X1)|~relation(X2)|~in(X3,esk314_2(X1,X2))|~in(X4,esk315_2(X1,X2)))). 31.61/6.38 cnf(i_0_3009, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|subset(X5,esk387_1(X5))|esk395_1(X6)!=X6|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3189, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|subset(X5,esk391_1(X5))|esk395_1(X6)!=X6|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2795, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|subset(X5,esk391_1(X5))|esk387_1(X6)!=X6|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2815, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|subset(X5,esk395_1(X5))|esk387_1(X6)!=X6|~ordinal(X1)|~in(X6,esk386_0)|~in(X4,esk390_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2409, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|relation_dom(esk367_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk366_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2364, lemma, (apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk363_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_2996, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|subset(X3,esk395_1(X3))|subset(X4,esk391_1(X4))|subset(X5,esk387_1(X5))|~ordinal(X2)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X3,esk394_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2235, plain, (esk336_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk329_2(X1,X2),X5),unordered_pair(esk329_2(X1,X2),esk329_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3))|~in(X5,esk330_2(X1,X2)))). 31.61/6.38 cnf(i_0_2975, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|subset(X5,esk387_1(X5))|esk391_1(X6)!=X6|~ordinal(X1)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3175, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|subset(X5,esk395_1(X5))|esk391_1(X6)!=X6|~ordinal(X1)|~in(X4,esk386_0)|~in(X6,esk390_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2686, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|esk395_1(X5)!=X5|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X5,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2882, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|esk387_1(X5)!=X5|esk394_0!=empty_set|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2181, plain, (esk336_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk332_2(X1,X2),X5),unordered_pair(esk332_2(X1,X2),esk332_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3))|~in(X5,esk333_2(X1,X2)))). 31.61/6.38 cnf(i_0_3431, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2943, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X4)!=X4|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2925, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X4)!=X4|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3344, lemma, (empty_set=X1|X2=empty_set|ordinal(esk388_0)|in(esk396_2(X3,X2),X2)|in(esk387_1(X4),esk386_0)|in(esk393_1(X1),X1)|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_723, lemma, (esk99_2(X1,X2)=esk96_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2))|in(esk103_5(X1,X2,X3,X4,X3),X3)|~relation(X2)|~in(X4,X3)|~in(X3,X1))). 31.61/6.38 cnf(i_0_2733, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|being_limit_ordinal(esk388_0)|esk386_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_675, lemma, (esk100_2(X1,X2)=esk96_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2))|in(esk103_5(X1,X2,X3,X4,X3),X3)|~relation(X2)|~in(X4,X3)|~in(X3,X1))). 31.61/6.38 cnf(i_0_3541, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|ordinal(esk388_0)|in(esk393_1(X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_126, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk24_2(X3,X4))|element(esk25_4(X3,X4,X1,X2),powerset(the_carrier(X3)))|esk22_2(X3,X4)!=esk23_2(X3,X4)|~one_sorted_str(X3)|~in(X1,complements_of_subsets(the_carrier(X3),X4))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_3326, lemma, (empty_set=X1|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X3,X2),X2)|in(esk387_1(X4),esk386_0)|in(esk393_1(X1),X1)|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_133, lemma, (esk25_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk24_2(X1,X2))|in(esk21_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2661, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk388_0,omega)|esk386_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_1835, lemma, (in(unordered_pair(unordered_pair(apply(X1,X2),apply(X1,X3)),unordered_pair(apply(X1,X2),apply(X1,X2))),X4)|~function(X1)|~relation(X4)|~relation(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk277_3(X5,X4,X1)))). 31.61/6.38 cnf(i_0_3317, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk395_1(X4),esk394_0)|in(esk387_1(X5),esk386_0)|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3245, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk387_1(X5),esk386_0)|in(esk388_0,omega)|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2837, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X4)!=X4|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3377, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|element(esk386_0,powerset(powerset(empty_set)))|esk391_1(X4)!=X4|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3146, lemma, (empty_set=X1|X2=empty_set|ordinal(esk388_0)|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|subset(X4,esk387_1(X4))|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_42, plain, (unordered_pair(unordered_pair(esk4_2(X1,X2),esk4_2(X1,X2)),unordered_pair(esk4_2(X1,X2),esk5_2(X1,X2)))=esk3_2(X1,X2)|esk9_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2877, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|esk387_1(X6)!=X6|esk388_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2769, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|esk387_1(X6)!=X6|esk390_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2589, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|esk386_0!=empty_set|esk391_1(X6)!=X6|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_34, plain, (unordered_pair(unordered_pair(esk6_2(X1,X2),esk6_2(X1,X2)),unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)))=esk2_2(X1,X2)|esk9_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3447, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3476, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_71, plain, (esk1_2(X1,X2)=esk2_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk8_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk12_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1945, plain, (unordered_pair(unordered_pair(esk301_2(X1,X2),esk301_2(X1,X2)),unordered_pair(esk301_2(X1,X2),esk302_2(X1,X2)))=esk297_2(X1,X2)|esk305_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2699, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|ordinal(esk392_0)|in(esk389_2(X5,X4),X4)|esk386_0!=empty_set|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2718, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|ordinal(esk392_0)|in(esk396_2(X5,X4),X4)|esk386_0!=empty_set|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3207, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|in(esk387_1(X5),esk386_0)|esk395_1(X6)!=X6|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1985, plain, (unordered_pair(unordered_pair(esk299_2(X1,X2),esk299_2(X1,X2)),unordered_pair(esk299_2(X1,X2),esk300_2(X1,X2)))=esk298_2(X1,X2)|esk305_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1868, plain, (subset_complement(the_carrier(X1),esk279_2(X1,X2))=esk281_2(X1,X2)|in(X3,esk282_2(X1,X2))|element(esk284_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(esk279_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1862, plain, (subset_complement(the_carrier(X1),esk279_2(X1,X2))=esk280_2(X1,X2)|in(X3,esk282_2(X1,X2))|element(esk284_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(esk279_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_63, plain, (esk1_2(X1,X2)=esk3_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk8_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk12_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2062, plain, (esk317_3(X1,X2,X3)=esk318_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk311_2(X1,X2),X4),unordered_pair(esk311_2(X1,X2),esk311_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk313_2(X1,X2))|~in(X3,esk315_2(X1,X2)))). 31.61/6.38 cnf(i_0_2813, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk391_1(X5),esk390_0)|esk387_1(X6)!=X6|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3173, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk387_1(X5),esk386_0)|esk391_1(X6)!=X6|~ordinal(X1)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2783, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|esk387_1(X4)!=X4|esk391_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2034, plain, (esk317_3(X1,X2,X3)=esk318_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk312_2(X1,X2),X4),unordered_pair(esk312_2(X1,X2),esk312_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk314_2(X1,X2))|~in(X3,esk315_2(X1,X2)))). 31.61/6.38 cnf(i_0_1511, plain, (esk235_2(X1,X2)=X3|X2=empty_set|in(X4,esk236_1(X1))|in(X4,omega)|~ordinal(X1)|~ordinal(X4)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))|~in(esk234_1(X1),omega)|~in(X3,X2)|~element(X2,powerset(powerset(esk234_1(X1))))|~subset(esk235_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3454, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~in(esk392_0,omega)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3526, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X4,X3),X3)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~in(esk392_0,omega)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3269, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk387_1(X4),esk386_0)|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3128, lemma, (empty_set=X1|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|subset(X4,esk387_1(X4))|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3232, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk390_0,powerset(powerset(esk388_0)))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1547, plain, (esk233_2(X1,X2)=X3|empty_set=X2|in(X4,esk236_1(X1))|in(X4,omega)|~ordinal(X1)|~ordinal(X4)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))|~in(esk232_1(X1),omega)|~in(X3,X2)|~element(X2,powerset(powerset(esk232_1(X1))))|~subset(esk233_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1504, plain, (esk235_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk241_3(X1,X5,X4),X4)|~ordinal(X1)|~in(esk240_2(X1,X5),omega)|~in(esk234_1(X1),omega)|~in(X5,esk236_1(X1))|~in(X3,X2)|~element(X4,powerset(powerset(esk240_2(X1,X5))))|~element(X2,powerset(powerset(esk234_1(X1))))|~subset(esk235_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1540, plain, (esk233_2(X1,X2)=X3|empty_set=X4|empty_set=X2|in(esk241_3(X1,X5,X4),X4)|~ordinal(X1)|~in(esk240_2(X1,X5),omega)|~in(esk232_1(X1),omega)|~in(X5,esk236_1(X1))|~in(X3,X2)|~element(X4,powerset(powerset(esk240_2(X1,X5))))|~element(X2,powerset(powerset(esk232_1(X1))))|~subset(esk233_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3412, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3161, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk387_1(X4),esk386_0)|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2621, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk391_1(X4),esk390_0)|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3071, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|subset(X4,esk387_1(X4))|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2963, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|subset(X4,esk387_1(X4))|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3034, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk390_0,powerset(powerset(esk388_0)))|subset(X3,esk387_1(X3))|~ordinal(X2)|~in(X3,esk386_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_267, plain, (set_difference(esk42_2(X1,X2),unordered_pair(X1,X1))=esk40_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk43_2(X1,X2))|~ordinal(X1)|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.38 cnf(i_0_3394, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|subset(X3,esk391_1(X3))|~ordinal(X2)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2603, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|subset(X4,esk391_1(X4))|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2820, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3180, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|esk391_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2802, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|subset(X3,esk391_1(X3))|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_277, plain, (set_difference(esk41_2(X1,X2),unordered_pair(X1,X1))=esk39_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk43_2(X1,X2))|~ordinal(X1)|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))))). 31.61/6.38 cnf(i_0_1012, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk137_2(X3,X4))|in(esk134_2(X3,X4),X4)|element(esk138_4(X3,X4,X1,X2),powerset(the_carrier(X3)))|~one_sorted_str(X3)|~in(X1,X4)|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_2932, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X4,X3),X3)|esk387_1(X5)!=X5|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2860, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk388_0,omega)|esk387_1(X5)!=X5|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2982, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|subset(X3,esk387_1(X3))|esk391_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2853, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X4)!=X4|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2147, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk334_3(X3,X4,X5))|esk327_2(X3,X4)!=esk326_2(X3,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk335_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))). 31.61/6.38 cnf(i_0_840, lemma, (esk126_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X4),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X4,esk122_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_1517, plain, (X1=esk241_3(X2,X3,X4)|empty_set=X4|X5=empty_set|in(esk235_2(X2,X5),X5)|~ordinal(X2)|~in(esk240_2(X2,X3),omega)|~in(esk234_1(X2),omega)|~in(X3,esk236_1(X2))|~in(X1,X4)|~element(X4,powerset(powerset(esk240_2(X2,X3))))|~element(X5,powerset(powerset(esk234_1(X2))))|~subset(esk241_3(X2,X3,X4),X1))). 31.61/6.38 cnf(i_0_1529, plain, (X1=esk241_3(X2,X3,X4)|empty_set=X4|empty_set=X5|in(esk233_2(X2,X5),X5)|~ordinal(X2)|~in(esk240_2(X2,X3),omega)|~in(esk232_1(X2),omega)|~in(X3,esk236_1(X2))|~in(X1,X4)|~element(X4,powerset(powerset(esk240_2(X2,X3))))|~element(X5,powerset(powerset(esk232_1(X2))))|~subset(esk241_3(X2,X3,X4),X1))). 31.61/6.38 cnf(i_0_2929, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk393_1(X4),X4)|esk387_1(X5)!=X5|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_894, lemma, (esk126_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X4),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X4,esk121_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_3451, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3523, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk393_1(X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_53, plain, (subset_complement(the_carrier(X1),esk10_4(X1,X2,X3,X4))=esk11_4(X1,X2,X3,X4)|in(esk4_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk10_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1971, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk303_3(X3,X4,X5))|in(esk299_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk304_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_1773, lemma, (unordered_pair(unordered_pair(esk265_4(X1,X2,X3,X4),esk265_4(X1,X2,X3,X4)),unordered_pair(esk265_4(X1,X2,X3,X4),esk266_4(X1,X2,X3,X4)))=X4|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk264_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_2857, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|in(esk388_0,omega)|esk387_1(X5)!=X5|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2788, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|esk387_1(X5)!=X5|esk391_1(X6)!=X6|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2198, plain, (unordered_pair(unordered_pair(esk331_2(X1,X2),esk331_2(X1,X2)),unordered_pair(esk331_2(X1,X2),esk332_2(X1,X2)))=esk327_2(X1,X2)|esk339_4(X1,X2,X3,X4)=esk337_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_21, plain, (subset_complement(the_carrier(X1),esk10_4(X1,X2,X3,X4))=esk11_4(X1,X2,X3,X4)|in(esk6_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk10_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_351, lemma, (apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk47_2(X1,X2),X2)|element(esk51_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3227, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk387_1(X5),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1963, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk303_3(X3,X4,X5))|in(esk301_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk304_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_2216, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk326_2(X1,X2)|esk339_4(X1,X2,X3,X4)=esk337_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_722, lemma, (esk99_2(X1,X2)=esk96_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk103_5(X1,X2,X3,X4,X3))),X2)|~in(X3,X1)|~in(X4,X3))). 31.61/6.38 cnf(i_0_674, lemma, (esk100_2(X1,X2)=esk96_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk103_5(X1,X2,X3,X4,X3))),X2)|~in(X3,X1)|~in(X4,X3))). 31.61/6.38 cnf(i_0_2898, lemma, (X1=empty_set|X2=empty_set|ordinal(esk392_0)|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|esk387_1(X5)!=X5|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3407, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk391_1(X5),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3029, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3389, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|subset(X5,esk391_1(X5))|~ordinal(X1)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3229, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X5,esk395_1(X5))|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_850, lemma, (in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(apply(esk125_2(X1,X2),X4),esk126_3(X1,X2,X4))|in(esk119_2(X1,X2),esk122_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2))|~in(X4,X1))). 31.61/6.38 cnf(i_0_2785, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|esk387_1(X5)!=X5|esk391_1(X6)!=X6|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2701, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|esk386_0!=empty_set|esk394_0!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3772, lemma, (unordered_pair(unordered_pair(esk404_4(X1,X2,X3,X4),esk404_4(X1,X2,X3,X4)),unordered_pair(esk404_4(X1,X2,X3,X4),esk405_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~in(X4,esk403_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3409, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|subset(X5,esk395_1(X5))|~ordinal(X1)|~in(X4,esk390_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3031, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|subset(X4,esk395_1(X4))|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3391, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk395_1(X4))|subset(X5,esk391_1(X5))|~ordinal(X1)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3492, lemma, (X1=empty_set|X2=empty_set|ordinal(esk392_0)|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_904, lemma, (in(esk124_4(X1,X2,X3,esk123_2(X1,X2)),esk123_2(X1,X2))|in(apply(esk125_2(X1,X2),X4),esk126_3(X1,X2,X4))|in(esk120_2(X1,X2),esk121_2(X1,X2))|~relation(X2)|~in(X3,esk123_2(X1,X2))|~in(X4,X1))). 31.61/6.38 cnf(i_0_2475, 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)|~in(X4,esk372_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2949, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|ordinal(esk388_0)|esk387_1(X6)!=X6|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_1507, plain, (esk235_2(X1,X2)=X3|X2=empty_set|in(X4,esk236_1(X1))|esk238_5(X1,X4,X4,X4,X5)!=X5|~ordinal(X4)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))|~in(X5,esk237_4(X1,X4,X4,X4))|~in(esk234_1(X1),omega)|~in(X3,X2)|~element(X2,powerset(powerset(esk234_1(X1))))|~subset(esk235_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_347, lemma, (apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk50_2(X1,X2)=esk51_3(X1,X2,X4)|in(esk47_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3429, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3254, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk387_1(X4),esk386_0)|in(esk393_1(X1),X1)|in(esk388_0,omega)|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3056, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|in(esk388_0,omega)|subset(X4,esk387_1(X4))|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_8, plain, (esk12_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk8_3(X1,X2,X3))|esk3_2(X1,X2)!=esk2_2(X1,X2)|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1543, plain, (esk233_2(X1,X2)=X3|empty_set=X2|in(X4,esk236_1(X1))|esk238_5(X1,X4,X4,X4,X5)!=X5|~ordinal(X4)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))|~in(X5,esk237_4(X1,X4,X4,X4))|~in(esk232_1(X1),omega)|~in(X3,X2)|~element(X2,powerset(powerset(esk232_1(X1))))|~subset(esk233_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2231, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk329_2(X1,X2),X3),unordered_pair(esk329_2(X1,X2),esk329_2(X1,X2))),X2)|in(esk337_4(X1,X2,X4,X5),X1)|~relation(X2)|~in(X5,esk334_3(X1,X2,X4))|~in(X3,esk330_2(X1,X2)))). 31.61/6.38 cnf(i_0_3436, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~in(esk392_0,omega)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3341, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk387_1(X4),esk386_0)|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3323, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk387_1(X4),esk386_0)|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3143, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|subset(X4,esk387_1(X4))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_844, lemma, (in(apply(esk125_2(X1,X2),X3),esk126_3(X1,X2,X3))|in(esk119_2(X1,X2),esk122_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_2177, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk332_2(X1,X2),X3),unordered_pair(esk332_2(X1,X2),esk332_2(X1,X2))),X2)|in(esk337_4(X1,X2,X4,X5),X1)|~relation(X2)|~in(X5,esk334_3(X1,X2,X4))|~in(X3,esk333_2(X1,X2)))). 31.61/6.38 cnf(i_0_898, lemma, (in(apply(esk125_2(X1,X2),X3),esk126_3(X1,X2,X3))|in(esk120_2(X1,X2),esk121_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X4,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_3829, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk421_4(X1,X2,X3,X4),X5),unordered_pair(esk421_4(X1,X2,X3,X4),esk421_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk422_4(X1,X2,X3,X4))|~in(X4,esk419_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_687, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk97_2(X1,X2),X3),unordered_pair(esk97_2(X1,X2),esk97_2(X1,X2))),X2)|in(X4,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk101_2(X1,X2))|~in(X3,esk100_2(X1,X2)))). 31.61/6.38 cnf(i_0_2200, plain, (unordered_pair(unordered_pair(esk331_2(X1,X2),esk331_2(X1,X2)),unordered_pair(esk331_2(X1,X2),esk332_2(X1,X2)))=esk327_2(X1,X2)|empty(X1)|in(esk336_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3125, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|subset(X4,esk387_1(X4))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_30, plain, (subset_complement(the_carrier(X1),esk6_2(X1,X2))=esk7_2(X1,X2)|in(esk9_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk6_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_62, plain, (subset_complement(the_carrier(X1),esk4_2(X1,X2))=esk5_2(X1,X2)|in(esk9_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk4_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2218, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk326_2(X1,X2)|empty(X1)|in(esk336_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_719, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk98_2(X1,X2),X3),unordered_pair(esk98_2(X1,X2),esk98_2(X1,X2))),X2)|in(X4,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk101_2(X1,X2))|~in(X3,esk99_2(X1,X2)))). 31.61/6.38 cnf(i_0_584, 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)|~function(X1)|~relation(X5)|~relation(X4)|~relation(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X5))). 31.61/6.38 cnf(i_0_2685, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|esk395_1(X6)!=X6|esk386_0!=empty_set|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1942, plain, (unordered_pair(unordered_pair(esk301_2(X1,X2),esk301_2(X1,X2)),unordered_pair(esk301_2(X1,X2),esk302_2(X1,X2)))=esk297_2(X1,X2)|in(esk306_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2835, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X4)!=X4|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3375, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|esk391_1(X4)!=X4|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3471, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|esk388_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3363, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|esk390_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3768, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk403_3(X3,X4,X5))|element(esk406_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2),powerset(the_carrier(X3)))|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_1982, plain, (unordered_pair(unordered_pair(esk299_2(X1,X2),esk299_2(X1,X2)),unordered_pair(esk299_2(X1,X2),esk300_2(X1,X2)))=esk298_2(X1,X2)|in(esk306_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2704, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|esk395_1(X6)!=X6|esk386_0!=empty_set|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2881, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|esk387_1(X6)!=X6|esk394_0!=empty_set|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2900, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|esk387_1(X6)!=X6|esk394_0!=empty_set|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3076, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|subset(X5,esk387_1(X5))|esk388_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_699, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk101_2(X3,X4))|in(esk103_5(X3,X4,X1,X2,X1),X1)|in(esk96_2(X3,X4),X3)|~relation(X4)|~in(X2,X1)|~in(X1,X3))). 31.61/6.38 cnf(i_0_2643, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|esk386_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3433, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2842, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X5)!=X5|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3236, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk387_1(X4),esk386_0)|in(esk393_1(X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2968, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|subset(X5,esk387_1(X5))|esk390_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2608, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|subset(X5,esk391_1(X5))|esk386_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3073, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|subset(X5,esk387_1(X5))|esk388_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2818, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3382, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|element(esk386_0,powerset(powerset(empty_set)))|esk391_1(X5)!=X5|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3267, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3159, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2619, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3416, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk391_1(X4),esk390_0)|in(esk393_1(X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3178, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk391_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2965, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|subset(X5,esk387_1(X5))|esk390_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2605, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|subset(X5,esk391_1(X5))|esk386_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_640, plain, (X1=relation_dom_restriction(X2,X3)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk88_3(X2,X3,X1),esk88_3(X2,X3,X1)),unordered_pair(esk88_3(X2,X3,X1),esk89_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk88_3(X2,X3,X1),esk88_3(X2,X3,X1)),unordered_pair(esk88_3(X2,X3,X1),esk89_3(X2,X3,X1))),X2)|~in(esk88_3(X2,X3,X1),X3))). 31.61/6.38 cnf(i_0_217, plain, (relation_rng_restriction(X1,X2)=X3|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk35_3(X1,X2,X3),esk34_3(X1,X2,X3)),unordered_pair(esk34_3(X1,X2,X3),esk34_3(X1,X2,X3))),X3)|~in(unordered_pair(unordered_pair(esk35_3(X1,X2,X3),esk34_3(X1,X2,X3)),unordered_pair(esk34_3(X1,X2,X3),esk34_3(X1,X2,X3))),X2)|~in(esk35_3(X1,X2,X3),X1))). 31.61/6.38 cnf(i_0_2800, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X3,esk391_1(X3))|esk387_1(X4)!=X4|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3069, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X4,esk387_1(X4))|esk388_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2961, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X4,esk387_1(X4))|esk390_0!=empty_set|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2601, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X4,esk391_1(X4))|esk386_0!=empty_set|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2980, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X3,esk387_1(X3))|esk391_1(X4)!=X4|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3038, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X4,esk387_1(X4))|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3216, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|in(esk387_1(X4),esk386_0)|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2717, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|ordinal(esk392_0)|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3018, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_1007, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk136_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk137_2(X1,X2))|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_999, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk135_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk137_2(X1,X2))|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_3398, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk391_1(X4))|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3198, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|subset(X4,esk391_1(X4))|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2884, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|esk387_1(X5)!=X5|esk395_1(X6)!=X6|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X6,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_692, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk97_2(X1,X4),esk100_2(X1,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk101_2(X1,X4))|~in(X3,esk102_4(X1,X4,X5,X2)))). 31.61/6.38 cnf(i_0_708, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk98_2(X1,X4),esk99_2(X1,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk101_2(X1,X4))|~in(X3,esk102_4(X1,X4,X5,X2)))). 31.61/6.38 cnf(i_0_3274, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk387_1(X5),esk386_0)|esk388_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3000, lemma, (X1=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X2,X1),X1)|subset(X3,esk391_1(X3))|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_160, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk22_2(X1,X2)|subset_complement(the_carrier(X1),X3)=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk24_2(X1,X2))|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_152, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk23_2(X1,X2)|subset_complement(the_carrier(X1),X3)=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk24_2(X1,X2))|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_2822, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk391_1(X4),esk390_0)|in(esk393_1(X1),X1)|esk387_1(X5)!=X5|~ordinal(X3)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2149, plain, (unordered_pair(unordered_pair(esk337_4(X1,X2,X3,X4),esk337_4(X1,X2,X3,X4)),unordered_pair(esk337_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4)))=X4|esk325_2(X1,X2)=esk326_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3166, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk387_1(X5),esk386_0)|esk390_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2626, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk391_1(X5),esk390_0)|esk386_0!=empty_set|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2931, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|being_limit_ordinal(esk388_0)|esk387_1(X6)!=X6|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2859, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk388_0,omega)|esk387_1(X6)!=X6|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2203, plain, (unordered_pair(unordered_pair(esk337_4(X1,X2,X3,X4),esk337_4(X1,X2,X3,X4)),unordered_pair(esk337_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4)))=X4|esk325_2(X1,X2)=esk327_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_2781, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X4)!=X4|esk391_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2839, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X5)!=X5|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3379, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|esk391_1(X5)!=X5|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3182, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk387_1(X4),esk386_0)|in(esk393_1(X1),X1)|esk391_1(X5)!=X5|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2248, plain, (unordered_pair(unordered_pair(esk337_4(X1,X2,X3,X4),esk337_4(X1,X2,X3,X4)),unordered_pair(esk337_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4)))=X4|esk328_2(X1,X2)=esk330_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3271, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk387_1(X5),esk386_0)|in(esk393_1(X4),X4)|esk388_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3163, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk387_1(X5),esk386_0)|in(esk393_1(X4),X4)|esk390_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2185, plain, (unordered_pair(unordered_pair(esk337_4(X1,X2,X3,X4),esk337_4(X1,X2,X3,X4)),unordered_pair(esk337_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4)))=X4|esk331_2(X1,X2)=esk333_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3251, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk387_1(X4),esk386_0)|in(esk388_0,omega)|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3053, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk388_0,omega)|subset(X4,esk387_1(X4))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3543, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|ordinal(esk388_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2148, plain, (in(esk335_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)),esk334_3(X1,X2,X3))|esk327_2(X1,X2)!=esk326_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))). 31.61/6.38 cnf(i_0_2140, plain, (unordered_pair(unordered_pair(esk337_4(X1,X2,X3,X4),esk337_4(X1,X2,X3,X4)),unordered_pair(esk337_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4)))=X4|empty(X1)|esk327_2(X1,X2)!=esk326_2(X1,X2)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_2623, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk391_1(X5),esk390_0)|in(esk393_1(X4),X4)|esk386_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1505, plain, (X1=esk241_3(X2,X3,X4)|esk235_2(X2,X5)=X6|empty_set=X4|X5=empty_set|~ordinal(X2)|~in(esk240_2(X2,X3),omega)|~in(esk234_1(X2),omega)|~in(X3,esk236_1(X2))|~in(X6,X5)|~in(X1,X4)|~element(X4,powerset(powerset(esk240_2(X2,X3))))|~element(X5,powerset(powerset(esk234_1(X2))))|~subset(esk241_3(X2,X3,X4),X1)|~subset(esk235_2(X2,X5),X6))). 31.61/6.38 cnf(i_0_2234, plain, (esk339_4(X1,X2,X3,X4)=esk337_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk329_2(X1,X2),X5),unordered_pair(esk329_2(X1,X2),esk329_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3))|~in(X5,esk330_2(X1,X2)))). 31.61/6.38 cnf(i_0_2416, lemma, (apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk366_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_2804, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|subset(X4,esk391_1(X4))|esk387_1(X5)!=X5|~ordinal(X3)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2984, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|subset(X4,esk387_1(X4))|esk391_1(X5)!=X5|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3218, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk391_1(X4),esk390_0)|in(esk387_1(X5),esk386_0)|in(esk393_1(X1),X1)|~ordinal(X3)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2180, plain, (esk339_4(X1,X2,X3,X4)=esk337_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk332_2(X1,X2),X5),unordered_pair(esk332_2(X1,X2),esk332_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3))|~in(X5,esk333_2(X1,X2)))). 31.61/6.38 cnf(i_0_1541, plain, (X1=esk241_3(X2,X3,X4)|esk233_2(X2,X5)=X6|empty_set=X4|empty_set=X5|~ordinal(X2)|~in(esk240_2(X2,X3),omega)|~in(esk232_1(X2),omega)|~in(X3,esk236_1(X2))|~in(X6,X5)|~in(X1,X4)|~element(X4,powerset(powerset(esk240_2(X2,X3))))|~element(X5,powerset(powerset(esk232_1(X2))))|~subset(esk241_3(X2,X3,X4),X1)|~subset(esk233_2(X2,X5),X6))). 31.61/6.38 cnf(i_0_2787, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|esk387_1(X6)!=X6|esk391_1(X7)!=X7|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X7,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2995, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|subset(X4,esk395_1(X4))|subset(X5,esk391_1(X5))|subset(X6,esk387_1(X6))|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2221, plain, (unordered_pair(unordered_pair(esk337_4(X1,X2,X3,X4),esk337_4(X1,X2,X3,X4)),unordered_pair(esk337_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk328_2(X1,X2),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3339, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|in(esk387_1(X4),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3321, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk387_1(X4),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3141, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|ordinal(esk388_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X4,esk387_1(X4))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3123, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|being_limit_ordinal(esk388_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X4,esk387_1(X4))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2156, plain, (esk325_2(X1,X2)=esk326_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk334_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk335_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))). 31.61/6.38 cnf(i_0_2158, plain, (unordered_pair(unordered_pair(esk337_4(X1,X2,X3,X4),esk337_4(X1,X2,X3,X4)),unordered_pair(esk337_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk331_2(X1,X2),X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_2897, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|ordinal(esk392_0)|in(esk389_2(X5,X4),X4)|esk387_1(X6)!=X6|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2412, lemma, (apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_3346, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|ordinal(esk388_0)|in(esk396_2(X4,X3),X3)|in(esk387_1(X5),esk386_0)|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3148, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|ordinal(esk388_0)|in(esk396_2(X4,X3),X3)|subset(X5,esk387_1(X5))|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3233, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk387_1(X4),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2210, plain, (esk325_2(X1,X2)=esk327_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk334_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk335_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))). 31.61/6.38 cnf(i_0_1190, plain, (unordered_pair(unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3)),unordered_pair(esk180_3(X1,X2,X3),esk181_3(X1,X2,X3)))=X3|unordered_pair(unordered_pair(esk176_1(X1),esk176_1(X1)),unordered_pair(esk176_1(X1),esk177_1(X1)))=esk172_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.38 cnf(i_0_2916, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|ordinal(esk392_0)|in(esk396_2(X5,X4),X4)|esk387_1(X6)!=X6|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3145, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|ordinal(esk388_0)|in(esk393_1(X4),X4)|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1214, plain, (unordered_pair(unordered_pair(esk180_3(X1,X2,X3),esk180_3(X1,X2,X3)),unordered_pair(esk180_3(X1,X2,X3),esk181_3(X1,X2,X3)))=X3|unordered_pair(unordered_pair(esk174_1(X1),esk174_1(X1)),unordered_pair(esk174_1(X1),esk175_1(X1)))=esk173_1(X1)|~in(X3,esk178_2(X1,X2)))). 31.61/6.38 cnf(i_0_3413, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk391_1(X4),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3035, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X4,esk387_1(X4))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3395, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk391_1(X4))|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3475, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2255, plain, (esk328_2(X1,X2)=esk330_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk334_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk335_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))). 31.61/6.38 cnf(i_0_2236, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk329_2(X1,X2),X3),unordered_pair(esk329_2(X1,X2),esk329_2(X1,X2))),X2)|in(esk336_4(X1,X2,X4,X5),cartesian_product2(X1,X4))|~relation(X2)|~in(X5,esk334_3(X1,X2,X4))|~in(X3,esk330_2(X1,X2)))). 31.61/6.38 cnf(i_0_698, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk101_2(X3,X4))|in(esk96_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk103_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))). 31.61/6.38 cnf(i_0_2182, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk332_2(X1,X2),X3),unordered_pair(esk332_2(X1,X2),esk332_2(X1,X2))),X2)|in(esk336_4(X1,X2,X4,X5),cartesian_product2(X1,X4))|~relation(X2)|~in(X5,esk334_3(X1,X2,X4))|~in(X3,esk333_2(X1,X2)))). 31.61/6.38 cnf(i_0_3494, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3343, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|ordinal(esk388_0)|in(esk387_1(X5),esk386_0)|in(esk393_1(X4),X4)|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3453, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk388_0,omega)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2192, plain, (esk331_2(X1,X2)=esk333_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk334_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk335_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))). 31.61/6.38 cnf(i_0_3214, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|in(esk387_1(X4),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2993, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|subset(X5,esk391_1(X5))|subset(X6,esk387_1(X6))|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3016, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk391_1(X3),esk390_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3525, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|being_limit_ordinal(esk388_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3478, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X5)!=X5|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X5,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2819, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk391_1(X4),esk390_0)|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3179, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk387_1(X4),esk386_0)|esk391_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2290, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk352_3(X3,X4,X5))|esk347_3(X3,X4,X5)!=esk346_3(X3,X4,X5)|~function(X5)|~relation(X4)|~relation(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)))). 31.61/6.38 cnf(i_0_3196, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|in(esk387_1(X3),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X4,esk391_1(X4))|~ordinal(X2)|~in(X3,esk386_0)|~in(X4,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_3013, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|subset(X5,esk395_1(X5))|subset(X6,esk387_1(X6))|~ordinal(X1)|~in(X6,esk386_0)|~in(X4,esk390_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3193, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|subset(X5,esk395_1(X5))|subset(X6,esk391_1(X6))|~ordinal(X1)|~in(X4,esk386_0)|~in(X6,esk390_0)|~in(X5,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2690, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|subset(X5,esk395_1(X5))|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X5,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3080, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|subset(X5,esk387_1(X5))|esk394_0!=empty_set|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2998, lemma, (X1=empty_set|in(esk396_2(X2,X1),X1)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X3,esk391_1(X3))|subset(X4,esk387_1(X4))|~ordinal(X2)|~in(X4,esk386_0)|~in(X3,esk390_0)|~in(X2,omega)|~element(X1,powerset(powerset(X2))))). 31.61/6.38 cnf(i_0_2801, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|subset(X4,esk391_1(X4))|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2981, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|subset(X4,esk387_1(X4))|esk391_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3249, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|in(esk388_0,omega)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1940, plain, (esk304_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk296_2(X1,X2)=esk297_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk303_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1946, plain, (unordered_pair(unordered_pair(esk301_2(X1,X2),esk301_2(X1,X2)),unordered_pair(esk301_2(X1,X2),esk302_2(X1,X2)))=esk297_2(X1,X2)|in(esk305_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2703, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|esk395_1(X7)!=X7|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2899, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|esk387_1(X7)!=X7|esk394_0!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1986, plain, (unordered_pair(unordered_pair(esk299_2(X1,X2),esk299_2(X1,X2)),unordered_pair(esk299_2(X1,X2),esk300_2(X1,X2)))=esk298_2(X1,X2)|in(esk305_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3051, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk388_0,omega)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X4,esk387_1(X4))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_132, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk24_2(X3,X4))|in(esk21_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk25_4(X3,X4,X1,X2))!=X2|~one_sorted_str(X3)|~in(X1,complements_of_subsets(the_carrier(X3),X4))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_1996, plain, (esk304_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk296_2(X1,X2)=esk298_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk303_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2197, plain, (unordered_pair(unordered_pair(esk331_2(X1,X2),esk331_2(X1,X2)),unordered_pair(esk331_2(X1,X2),esk332_2(X1,X2)))=esk327_2(X1,X2)|empty(X1)|in(esk338_4(X1,X2,X3,X4),esk339_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3075, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|subset(X6,esk387_1(X6))|esk388_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2967, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|subset(X6,esk387_1(X6))|esk390_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2607, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|subset(X6,esk391_1(X6))|esk386_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2142, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk338_4(X1,X2,X3,X4),X5),unordered_pair(esk338_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4))),X2)|esk327_2(X1,X2)!=esk326_2(X1,X2)|~relation(X2)|~in(X5,esk339_4(X1,X2,X3,X4))|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_2215, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk326_2(X1,X2)|empty(X1)|in(esk338_4(X1,X2,X3,X4),esk339_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_2688, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|in(esk395_1(X5),esk394_0)|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X5,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3278, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|in(esk387_1(X5),esk386_0)|esk394_0!=empty_set|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3256, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk387_1(X5),esk386_0)|in(esk388_0,omega)|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_1972, plain, (esk304_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)),esk303_3(X1,X2,X3))|in(esk299_2(X1,X2),X2)|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3011, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk391_1(X5),esk390_0)|subset(X6,esk387_1(X6))|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3191, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk387_1(X5),esk386_0)|subset(X6,esk391_1(X6))|~ordinal(X1)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3211, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|in(esk387_1(X5),esk386_0)|subset(X6,esk395_1(X6))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1003, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk136_2(X1,X2)|esk138_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk137_2(X1,X2))|~one_sorted_str(X1)|~in(X3,X2)|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3058, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk388_0,omega)|subset(X5,esk387_1(X5))|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3328, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X4,X3),X3)|in(esk387_1(X5),esk386_0)|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3130, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|being_limit_ordinal(esk388_0)|in(esk396_2(X4,X3),X3)|subset(X5,esk387_1(X5))|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_1964, plain, (esk304_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)),esk303_3(X1,X2,X3))|in(esk301_2(X1,X2),X2)|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_686, lemma, (esk102_4(X1,X2,X3,X4)=X3|empty(X1)|in(unordered_pair(unordered_pair(esk97_2(X1,X2),X5),unordered_pair(esk97_2(X1,X2),esk97_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2))|~in(X5,esk100_2(X1,X2)))). 31.61/6.38 cnf(i_0_718, lemma, (esk102_4(X1,X2,X3,X4)=X3|empty(X1)|in(unordered_pair(unordered_pair(esk98_2(X1,X2),X5),unordered_pair(esk98_2(X1,X2),esk98_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk101_2(X1,X2))|~in(X5,esk99_2(X1,X2)))). 31.61/6.38 cnf(i_0_2883, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|esk387_1(X6)!=X6|esk395_1(X7)!=X7|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_995, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk135_2(X1,X2)|esk138_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk137_2(X1,X2))|~one_sorted_str(X1)|~in(X3,X2)|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3491, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|ordinal(esk392_0)|in(esk389_2(X5,X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3510, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|ordinal(esk392_0)|in(esk396_2(X5,X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3253, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk387_1(X5),esk386_0)|in(esk393_1(X4),X4)|in(esk388_0,omega)|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1933, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk303_3(X3,X4,X5))|element(esk304_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2),powerset(the_carrier(X3)))|esk298_2(X3,X4)!=esk297_2(X3,X4)|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_691, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk101_2(X3,X4))|in(esk97_2(X3,X4),esk100_2(X3,X4))|in(esk103_5(X3,X4,X1,X2,X1),X1)|~relation(X4)|~in(X2,X1)|~in(X1,X3))). 31.61/6.38 cnf(i_0_2902, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|esk387_1(X6)!=X6|esk395_1(X7)!=X7|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X7,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3127, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk393_1(X4),X4)|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3055, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|in(esk388_0,omega)|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_707, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk101_2(X3,X4))|in(esk98_2(X3,X4),esk99_2(X3,X4))|in(esk103_5(X3,X4,X1,X2,X1),X1)|~relation(X4)|~in(X2,X1)|~in(X1,X3))). 31.61/6.38 cnf(i_0_3325, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk387_1(X5),esk386_0)|in(esk393_1(X4),X4)|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3435, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(esk392_0,omega)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3020, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk391_1(X4),esk390_0)|in(esk393_1(X1),X1)|subset(X5,esk387_1(X5))|~ordinal(X3)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2239, plain, (unordered_pair(unordered_pair(esk337_4(X1,X2,X3,X4),esk337_4(X1,X2,X3,X4)),unordered_pair(esk337_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk329_2(X1,X2),esk330_2(X1,X2))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3273, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk387_1(X6),esk386_0)|esk388_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3165, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk387_1(X6),esk386_0)|esk390_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2625, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk391_1(X6),esk390_0)|esk386_0!=empty_set|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2806, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|subset(X5,esk391_1(X5))|esk387_1(X6)!=X6|~ordinal(X4)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2167, plain, (unordered_pair(unordered_pair(esk337_4(X1,X2,X3,X4),esk337_4(X1,X2,X3,X4)),unordered_pair(esk337_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk332_2(X1,X2),esk333_2(X1,X2))|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3209, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk395_1(X4),esk394_0)|in(esk391_1(X5),esk390_0)|in(esk387_1(X6),esk386_0)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X4,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3294, lemma, (X1=empty_set|X2=empty_set|ordinal(esk392_0)|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|in(esk387_1(X5),esk386_0)|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3096, lemma, (X1=empty_set|X2=empty_set|ordinal(esk392_0)|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|subset(X5,esk387_1(X5))|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3231, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk390_0,powerset(powerset(esk388_0)))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3200, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk387_1(X4),esk386_0)|in(esk393_1(X1),X1)|subset(X5,esk391_1(X5))|~ordinal(X3)|~in(esk392_0,omega)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_44, plain, (unordered_pair(unordered_pair(esk4_2(X1,X2),esk4_2(X1,X2)),unordered_pair(esk4_2(X1,X2),esk5_2(X1,X2)))=esk3_2(X1,X2)|in(esk10_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2986, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|subset(X5,esk387_1(X5))|esk391_1(X6)!=X6|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2803, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|subset(X5,esk391_1(X5))|esk387_1(X6)!=X6|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2983, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|subset(X5,esk387_1(X5))|esk391_1(X6)!=X6|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_36, plain, (unordered_pair(unordered_pair(esk6_2(X1,X2),esk6_2(X1,X2)),unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)))=esk2_2(X1,X2)|in(esk10_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3411, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3033, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk390_0,powerset(powerset(esk388_0)))|subset(X4,esk387_1(X4))|~ordinal(X1)|~in(X4,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3393, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|subset(X4,esk391_1(X4))|~ordinal(X1)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1951, plain, (subset_complement(the_carrier(X1),esk306_4(X1,X2,X3,X4))=esk307_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk301_2(X1,X2))=esk302_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk306_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk301_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2317, plain, (unordered_pair(unordered_pair(esk348_3(X1,X2,X3),esk348_3(X1,X2,X3)),unordered_pair(esk348_3(X1,X2,X3),esk349_3(X1,X2,X3)))=esk347_3(X1,X2,X3)|esk353_4(X1,X2,X3,X4)=X4|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_1522, plain, (X1=empty_set|in(esk235_2(X2,X1),X1)|in(X3,esk236_1(X2))|element(esk237_4(X2,X3,X3,X3),powerset(powerset(X3)))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(esk234_1(X2),omega)|~element(X1,powerset(powerset(esk234_1(X2)))))). 31.61/6.38 cnf(i_0_1534, plain, (empty_set=X1|in(esk233_2(X2,X1),X1)|in(X3,esk236_1(X2))|element(esk237_4(X2,X3,X3,X3),powerset(powerset(X3)))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(esk232_1(X2),omega)|~element(X1,powerset(powerset(esk232_1(X2)))))). 31.61/6.38 cnf(i_0_2302, plain, (unordered_pair(unordered_pair(esk350_3(X1,X2,X3),esk350_3(X1,X2,X3)),unordered_pair(esk350_3(X1,X2,X3),esk351_3(X1,X2,X3)))=esk346_3(X1,X2,X3)|esk353_4(X1,X2,X3,X4)=X4|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_29, plain, (subset_complement(the_carrier(X1),esk10_4(X1,X2,X3,X4))=esk11_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk6_2(X1,X2))=esk7_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk10_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk6_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1975, plain, (subset_complement(the_carrier(X1),esk306_4(X1,X2,X3,X4))=esk307_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk299_2(X1,X2))=esk300_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk306_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk299_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3002, lemma, (empty_set=X1|X2=empty_set|in(esk396_2(X3,X2),X2)|in(esk393_1(X1),X1)|subset(X4,esk391_1(X4))|subset(X5,esk387_1(X5))|~ordinal(X3)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X3,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_75, plain, (unordered_pair(unordered_pair(esk10_4(X1,X2,X3,X4),esk10_4(X1,X2,X3,X4)),unordered_pair(esk10_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4)))=X4|esk1_2(X1,X2)=esk2_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2841, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|esk387_1(X6)!=X6|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3381, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|esk391_1(X6)!=X6|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2915, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|ordinal(esk392_0)|esk387_1(X7)!=X7|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_67, plain, (unordered_pair(unordered_pair(esk10_4(X1,X2,X3,X4),esk10_4(X1,X2,X3,X4)),unordered_pair(esk10_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4)))=X4|esk1_2(X1,X2)=esk3_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_61, plain, (subset_complement(the_carrier(X1),esk10_4(X1,X2,X3,X4))=esk11_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk4_2(X1,X2))=esk5_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk10_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk4_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3238, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk387_1(X5),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3418, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk391_1(X5),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2256, plain, (esk328_2(X1,X2)=esk330_2(X1,X2)|in(esk335_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)),esk334_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))). 31.61/6.38 cnf(i_0_1936, plain, (unordered_pair(unordered_pair(esk306_4(X1,X2,X3,X4),esk306_4(X1,X2,X3,X4)),unordered_pair(esk306_4(X1,X2,X3,X4),esk307_4(X1,X2,X3,X4)))=X4|esk296_2(X1,X2)=esk297_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3147, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|ordinal(esk388_0)|subset(X6,esk387_1(X6))|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2824, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk391_1(X5),esk390_0)|esk387_1(X6)!=X6|~ordinal(X4)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3184, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk387_1(X5),esk386_0)|esk391_1(X6)!=X6|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_1992, plain, (unordered_pair(unordered_pair(esk306_4(X1,X2,X3,X4),esk306_4(X1,X2,X3,X4)),unordered_pair(esk306_4(X1,X2,X3,X4),esk307_4(X1,X2,X3,X4)))=X4|esk296_2(X1,X2)=esk298_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3040, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X5,esk387_1(X5))|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3400, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|element(esk386_0,powerset(powerset(empty_set)))|subset(X5,esk391_1(X5))|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2424, lemma, (apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|element(esk366_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_2193, plain, (esk331_2(X1,X2)=esk333_2(X1,X2)|in(esk335_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)),esk334_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))). 31.61/6.38 cnf(i_0_11, plain, (unordered_pair(unordered_pair(esk10_4(X1,X2,X3,X4),esk10_4(X1,X2,X3,X4)),unordered_pair(esk10_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4)))=X4|esk3_2(X1,X2)!=esk2_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2293, plain, (unordered_pair(unordered_pair(esk354_4(X1,X2,X3,X4),esk354_4(X1,X2,X3,X4)),unordered_pair(esk354_4(X1,X2,X3,X4),esk355_4(X1,X2,X3,X4)))=X4|esk347_3(X1,X2,X3)!=esk346_3(X1,X2,X3)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_2821, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk391_1(X5),esk390_0)|in(esk393_1(X4),X4)|esk387_1(X6)!=X6|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1928, plain, (unordered_pair(unordered_pair(esk306_4(X1,X2,X3,X4),esk306_4(X1,X2,X3,X4)),unordered_pair(esk306_4(X1,X2,X3,X4),esk307_4(X1,X2,X3,X4)))=X4|esk298_2(X1,X2)!=esk297_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2817, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3177, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk391_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2799, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X4,esk391_1(X4))|esk387_1(X5)!=X5|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2979, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X4,esk387_1(X4))|esk391_1(X5)!=X5|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2228, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk334_3(X3,X4,X5))|in(esk328_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk335_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))). 31.61/6.38 cnf(i_0_134, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk24_2(X3,X4))|in(esk21_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|element(esk25_4(X3,X4,X1,X2),powerset(the_carrier(X3)))|~one_sorted_str(X3)|~in(X1,complements_of_subsets(the_carrier(X3),X4))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_3181, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk387_1(X5),esk386_0)|in(esk393_1(X4),X4)|esk391_1(X6)!=X6|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2689, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|subset(X6,esk395_1(X6))|esk386_0!=empty_set|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2708, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|subset(X6,esk395_1(X6))|esk386_0!=empty_set|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3079, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|subset(X6,esk387_1(X6))|esk394_0!=empty_set|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3235, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk387_1(X5),esk386_0)|in(esk393_1(X4),X4)|element(esk390_0,powerset(powerset(esk388_0)))|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3415, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk391_1(X5),esk390_0)|in(esk393_1(X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3037, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|element(esk390_0,powerset(powerset(esk388_0)))|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3397, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|subset(X5,esk391_1(X5))|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2165, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk334_3(X3,X4,X5))|in(esk331_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk335_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))). 31.61/6.38 cnf(i_0_1968, plain, (unordered_pair(unordered_pair(esk306_4(X1,X2,X3,X4),esk306_4(X1,X2,X3,X4)),unordered_pair(esk306_4(X1,X2,X3,X4),esk307_4(X1,X2,X3,X4)))=X4|in(esk299_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3098, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|subset(X6,esk387_1(X6))|esk394_0!=empty_set|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1521, plain, (X1=empty_set|in(esk235_2(X2,X1),X1)|in(X3,esk236_1(X2))|subset(X4,esk238_5(X2,X3,X3,X3,X4))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X4,esk237_4(X2,X3,X3,X3))|~in(esk234_1(X2),omega)|~element(X1,powerset(powerset(esk234_1(X2)))))). 31.61/6.38 cnf(i_0_1960, plain, (unordered_pair(unordered_pair(esk306_4(X1,X2,X3,X4),esk306_4(X1,X2,X3,X4)),unordered_pair(esk306_4(X1,X2,X3,X4),esk307_4(X1,X2,X3,X4)))=X4|in(esk301_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_311, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk51_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~in(X3,X2)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_327, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk51_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~in(X3,X2)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1533, plain, (empty_set=X1|in(esk233_2(X2,X1),X1)|in(X3,esk236_1(X2))|subset(X4,esk238_5(X2,X3,X3,X3,X4))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X4,esk237_4(X2,X3,X3,X3))|~in(esk232_1(X2),omega)|~element(X1,powerset(powerset(esk232_1(X2)))))). 31.61/6.38 cnf(i_0_2151, plain, (esk325_2(X1,X2)=esk326_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk338_4(X1,X2,X3,X4),X5),unordered_pair(esk338_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk339_4(X1,X2,X3,X4))|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3345, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|ordinal(esk388_0)|in(esk387_1(X6),esk386_0)|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2205, plain, (esk325_2(X1,X2)=esk327_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk338_4(X1,X2,X3,X4),X5),unordered_pair(esk338_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk339_4(X1,X2,X3,X4))|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_2420, lemma, (apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk366_3(X1,X2,X4)=esk365_2(X1,X2)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_1645, plain, (in(unordered_pair(unordered_pair(X1,esk246_5(X2,X3,relation_composition(X2,X3),X4,X1)),unordered_pair(esk246_5(X2,X3,relation_composition(X2,X3),X4,X1),esk246_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)))). 31.61/6.38 cnf(i_0_1188, plain, (unordered_pair(unordered_pair(esk176_1(X1),esk176_1(X1)),unordered_pair(esk176_1(X1),esk177_1(X1)))=esk172_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk178_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))). 31.61/6.38 cnf(i_0_3493, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|element(esk386_0,powerset(powerset(empty_set)))|esk394_0!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2687, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|in(esk395_1(X6),esk394_0)|esk386_0!=empty_set|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2250, plain, (esk328_2(X1,X2)=esk330_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk338_4(X1,X2,X3,X4),X5),unordered_pair(esk338_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk339_4(X1,X2,X3,X4))|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_157, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk22_2(X1,X2)|esk25_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk24_2(X1,X2))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_149, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk23_2(X1,X2)|esk25_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk24_2(X1,X2))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1212, plain, (unordered_pair(unordered_pair(esk174_1(X1),esk174_1(X1)),unordered_pair(esk174_1(X1),esk175_1(X1)))=esk173_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk178_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))). 31.61/6.38 cnf(i_0_2187, plain, (esk331_2(X1,X2)=esk333_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk338_4(X1,X2,X3,X4),X5),unordered_pair(esk338_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk339_4(X1,X2,X3,X4))|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_2706, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|in(esk395_1(X6),esk394_0)|esk386_0!=empty_set|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3277, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|in(esk387_1(X6),esk386_0)|esk394_0!=empty_set|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3296, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|in(esk387_1(X6),esk386_0)|esk394_0!=empty_set|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2298, plain, (unordered_pair(unordered_pair(esk354_4(X1,X2,X3,X4),esk354_4(X1,X2,X3,X4)),unordered_pair(esk354_4(X1,X2,X3,X4),esk355_4(X1,X2,X3,X4)))=X4|esk345_3(X1,X2,X3)=esk346_3(X1,X2,X3)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_2694, lemma, (X1=empty_set|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_323, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk50_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_72, plain, (esk12_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk1_2(X1,X2)=esk2_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk8_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_339, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk50_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3082, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|subset(X5,esk387_1(X5))|esk395_1(X6)!=X6|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X6,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2888, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|subset(X5,esk395_1(X5))|esk387_1(X6)!=X6|~ordinal(X4)|~ordinal(X3)|~in(X6,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X5,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2323, plain, (unordered_pair(unordered_pair(esk354_4(X1,X2,X3,X4),esk354_4(X1,X2,X3,X4)),unordered_pair(esk354_4(X1,X2,X3,X4),esk355_4(X1,X2,X3,X4)))=X4|esk345_3(X1,X2,X3)=esk347_3(X1,X2,X3)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3480, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|in(esk395_1(X5),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X5,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3482, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|element(esk386_0,powerset(powerset(empty_set)))|subset(X5,esk395_1(X5))|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X5,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_1002, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk136_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk137_2(X1,X2))|subset_complement(the_carrier(X1),esk138_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~in(X3,X2)|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_64, plain, (esk12_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk1_2(X1,X2)=esk3_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk8_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3129, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|being_limit_ordinal(esk388_0)|subset(X6,esk387_1(X6))|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3057, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk388_0,omega)|subset(X6,esk387_1(X6))|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2223, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk338_4(X1,X2,X3,X4),X5),unordered_pair(esk338_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4))),X2)|in(esk328_2(X1,X2),X1)|~relation(X2)|~in(X5,esk339_4(X1,X2,X3,X4))|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_994, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk135_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk137_2(X1,X2))|subset_complement(the_carrier(X1),esk138_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~in(X3,X2)|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3477, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X6)!=X6|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3496, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X6)!=X6|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1941, plain, (esk296_2(X1,X2)=esk297_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk303_3(X1,X2,X5))|element(esk304_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2160, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk338_4(X1,X2,X3,X4),X5),unordered_pair(esk338_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4))),X2)|in(esk331_2(X1,X2),X1)|~relation(X2)|~in(X5,esk339_4(X1,X2,X3,X4))|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_690, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk101_2(X3,X4))|in(esk97_2(X3,X4),esk100_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk103_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))). 31.61/6.38 cnf(i_0_2384, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk366_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_2400, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk366_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_1997, plain, (esk296_2(X1,X2)=esk298_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk303_3(X1,X2,X5))|element(esk304_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_706, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk101_2(X3,X4))|in(esk98_2(X3,X4),esk99_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk103_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))). 31.61/6.38 cnf(i_0_2901, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|esk387_1(X7)!=X7|esk395_1(X8)!=X8|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X8,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2805, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|subset(X6,esk391_1(X6))|esk387_1(X7)!=X7|~ordinal(X1)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X6,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3215, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk391_1(X4),esk390_0)|in(esk387_1(X5),esk386_0)|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3017, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk391_1(X4),esk390_0)|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3197, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk387_1(X4),esk386_0)|subset(X5,esk391_1(X5))|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2999, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|subset(X4,esk391_1(X4))|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_830, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X3),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X3,esk122_2(X1,X2))|~in(X4,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_2233, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk329_2(X1,X2),X3),unordered_pair(esk329_2(X1,X2),esk329_2(X1,X2))),X2)|in(esk338_4(X1,X2,X4,X5),esk339_4(X1,X2,X4,X5))|~relation(X2)|~in(X5,esk334_3(X1,X2,X4))|~in(X3,esk330_2(X1,X2)))). 31.61/6.38 cnf(i_0_2985, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|subset(X6,esk387_1(X6))|esk391_1(X7)!=X7|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X7,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3095, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|ordinal(esk392_0)|in(esk389_2(X5,X4),X4)|subset(X6,esk387_1(X6))|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3114, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|ordinal(esk392_0)|in(esk396_2(X5,X4),X4)|subset(X6,esk387_1(X6))|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3280, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|in(esk387_1(X5),esk386_0)|esk395_1(X6)!=X6|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X6,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2179, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk332_2(X1,X2),X3),unordered_pair(esk332_2(X1,X2),esk332_2(X1,X2))),X2)|in(esk338_4(X1,X2,X4,X5),esk339_4(X1,X2,X4,X5))|~relation(X2)|~in(X5,esk334_3(X1,X2,X4))|~in(X3,esk333_2(X1,X2)))). 31.61/6.38 cnf(i_0_3255, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk387_1(X6),esk386_0)|in(esk388_0,omega)|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3327, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|being_limit_ordinal(esk388_0)|in(esk387_1(X6),esk386_0)|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2886, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|in(esk395_1(X5),esk394_0)|esk387_1(X6)!=X6|~ordinal(X4)|~ordinal(X3)|~in(X6,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X5,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_884, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X3),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X3,esk121_2(X1,X2))|~in(X4,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_929, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X3,X1))). 31.61/6.38 cnf(i_0_1510, plain, (esk235_2(X1,X2)=X3|X2=empty_set|in(X4,esk236_1(X1))|element(esk237_4(X1,X4,X4,X4),powerset(powerset(X4)))|~ordinal(X4)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))|~in(esk234_1(X1),omega)|~in(X3,X2)|~element(X2,powerset(powerset(esk234_1(X1))))|~subset(esk235_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1546, plain, (esk233_2(X1,X2)=X3|empty_set=X2|in(X4,esk236_1(X1))|element(esk237_4(X1,X4,X4,X4),powerset(powerset(X4)))|~ordinal(X4)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))|~in(esk232_1(X1),omega)|~in(X3,X2)|~element(X2,powerset(powerset(esk232_1(X1))))|~subset(esk233_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_875, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X3,X1))). 31.61/6.38 cnf(i_0_3509, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|ordinal(esk392_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2692, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_835, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X3),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X3,esk122_2(X1,X2))|~in(X4,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_319, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk51_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X3,X2)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1644, plain, (relation_composition(X1,X2)=X3|~relation(X3)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk247_3(X1,X2,X3),esk247_3(X1,X2,X3)),unordered_pair(esk247_3(X1,X2,X3),esk248_3(X1,X2,X3))),X3)|~in(unordered_pair(unordered_pair(esk247_3(X1,X2,X3),X4),unordered_pair(esk247_3(X1,X2,X3),esk247_3(X1,X2,X3))),X1)|~in(unordered_pair(unordered_pair(X4,esk248_3(X1,X2,X3)),unordered_pair(X4,X4)),X2))). 31.61/6.38 cnf(i_0_2823, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk391_1(X6),esk390_0)|esk387_1(X7)!=X7|~ordinal(X1)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X6,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3183, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk387_1(X6),esk386_0)|esk391_1(X7)!=X7|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X7,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3293, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|ordinal(esk392_0)|in(esk389_2(X5,X4),X4)|in(esk387_1(X6),esk386_0)|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_821, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk123_2(X1,X2),X1)|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X3,X1))). 31.61/6.38 cnf(i_0_335, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk51_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X3,X2)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_156, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk22_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk24_2(X1,X2))|subset_complement(the_carrier(X1),esk25_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_889, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X3),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X3,esk121_2(X1,X2))|~in(X4,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_947, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk123_2(X1,X2),X1)|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X3,X1))). 31.61/6.38 cnf(i_0_3312, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|ordinal(esk392_0)|in(esk396_2(X5,X4),X4)|in(esk387_1(X6),esk386_0)|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_838, lemma, (in(unordered_pair(unordered_pair(esk119_2(X1,X2),X3),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|in(apply(esk125_2(X1,X2),X4),esk126_3(X1,X2,X4))|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,esk122_2(X1,X2))|~in(X4,X1))). 31.61/6.38 cnf(i_0_148, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk23_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk24_2(X1,X2))|subset_complement(the_carrier(X1),esk25_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3237, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk387_1(X6),esk386_0)|element(esk390_0,powerset(powerset(esk388_0)))|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3417, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk391_1(X6),esk390_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_831, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X3),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X3,esk122_2(X1,X2))|~in(X4,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_892, lemma, (in(unordered_pair(unordered_pair(esk120_2(X1,X2),X3),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|in(apply(esk125_2(X1,X2),X4),esk126_3(X1,X2,X4))|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X3,esk121_2(X1,X2))|~in(X4,X1))). 31.61/6.38 cnf(i_0_2707, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|subset(X7,esk395_1(X7))|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_46, plain, (unordered_pair(unordered_pair(esk4_2(X1,X2),esk4_2(X1,X2)),unordered_pair(esk4_2(X1,X2),esk5_2(X1,X2)))=esk3_2(X1,X2)|in(esk9_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3039, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|element(esk390_0,powerset(powerset(esk388_0)))|subset(X6,esk387_1(X6))|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3399, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|element(esk386_0,powerset(powerset(empty_set)))|subset(X6,esk391_1(X6))|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2696, lemma, (empty_set=X1|X2=empty_set|X3=empty_set|in(esk396_2(X4,X2),X2)|in(esk389_2(X5,X3),X3)|in(esk393_1(X1),X1)|esk386_0!=empty_set|~ordinal(X5)|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,omega)|~in(X5,esk388_0)|~in(X4,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X5)))|~element(X2,powerset(powerset(X4))))). 31.61/6.38 cnf(i_0_3213, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|in(esk387_1(X5),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_9, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk8_3(X3,X4,X5))|element(esk12_7(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2),powerset(the_carrier(X3)))|esk3_2(X3,X4)!=esk2_2(X3,X4)|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_38, plain, (unordered_pair(unordered_pair(esk6_2(X1,X2),esk6_2(X1,X2)),unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)))=esk2_2(X1,X2)|in(esk9_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3097, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|subset(X7,esk387_1(X7))|esk394_0!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_51, plain, (unordered_pair(unordered_pair(esk10_4(X1,X2,X3,X4),esk10_4(X1,X2,X3,X4)),unordered_pair(esk10_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4)))=X4|in(esk4_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3015, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk391_1(X4),esk390_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3195, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|in(esk387_1(X4),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X5,esk391_1(X5))|~ordinal(X1)|~in(X4,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2997, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X4,esk391_1(X4))|subset(X5,esk387_1(X5))|~ordinal(X1)|~in(X5,esk386_0)|~in(X4,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3220, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk391_1(X5),esk390_0)|in(esk387_1(X6),esk386_0)|~ordinal(X4)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_885, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X3),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X3,esk121_2(X1,X2))|~in(X4,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_19, plain, (unordered_pair(unordered_pair(esk10_4(X1,X2,X3,X4),esk10_4(X1,X2,X3,X4)),unordered_pair(esk10_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4)))=X4|in(esk6_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2241, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk338_4(X1,X2,X3,X4),X5),unordered_pair(esk338_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4))),X2)|in(esk329_2(X1,X2),esk330_2(X1,X2))|~relation(X2)|~in(X5,esk339_4(X1,X2,X3,X4))|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3022, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk391_1(X5),esk390_0)|subset(X6,esk387_1(X6))|~ordinal(X4)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3202, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|in(esk387_1(X5),esk386_0)|subset(X6,esk391_1(X6))|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3004, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|in(esk396_2(X4,X3),X3)|subset(X5,esk391_1(X5))|subset(X6,esk387_1(X6))|~ordinal(X4)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X4,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X4)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2157, plain, (esk325_2(X1,X2)=esk326_2(X1,X2)|in(esk335_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)),esk334_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))). 31.61/6.38 cnf(i_0_2169, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk338_4(X1,X2,X3,X4),X5),unordered_pair(esk338_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4))),X2)|in(esk332_2(X1,X2),esk333_2(X1,X2))|~relation(X2)|~in(X5,esk339_4(X1,X2,X3,X4))|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_1509, plain, (esk235_2(X1,X2)=X3|X2=empty_set|in(X4,esk236_1(X1))|subset(X5,esk238_5(X1,X4,X4,X4,X5))|~ordinal(X4)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))|~in(X5,esk237_4(X1,X4,X4,X4))|~in(esk234_1(X1),omega)|~in(X3,X2)|~element(X2,powerset(powerset(esk234_1(X1))))|~subset(esk235_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1545, plain, (esk233_2(X1,X2)=X3|empty_set=X2|in(X4,esk236_1(X1))|subset(X5,esk238_5(X1,X4,X4,X4,X5))|~ordinal(X4)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))|~in(X5,esk237_4(X1,X4,X4,X4))|~in(esk232_1(X1),omega)|~in(X3,X2)|~element(X2,powerset(powerset(esk232_1(X1))))|~subset(esk233_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1059, plain, (X1=X2|in(unordered_pair(unordered_pair(esk144_2(X1,X2),esk144_2(X1,X2)),unordered_pair(esk144_2(X1,X2),esk145_2(X1,X2))),X1)|in(unordered_pair(unordered_pair(esk144_2(X1,X2),esk144_2(X1,X2)),unordered_pair(esk144_2(X1,X2),esk145_2(X1,X2))),X2)|~relation(X2)|~relation(X1))). 31.61/6.38 cnf(i_0_2211, plain, (esk325_2(X1,X2)=esk327_2(X1,X2)|in(esk335_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)),esk334_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))). 31.61/6.38 cnf(i_0_857, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk119_2(X1,X2),esk122_2(X1,X2))|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X3,X1))). 31.61/6.38 cnf(i_0_2705, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(esk395_1(X7),esk394_0)|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3295, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(esk387_1(X7),esk386_0)|esk394_0!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3081, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|subset(X6,esk387_1(X6))|esk395_1(X7)!=X7|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2887, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|subset(X6,esk395_1(X6))|esk387_1(X7)!=X7|~ordinal(X5)|~ordinal(X1)|~in(X7,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_911, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk120_2(X1,X2),esk121_2(X1,X2))|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X3,X1))). 31.61/6.38 cnf(i_0_3486, lemma, (X1=empty_set|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_315, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk49_2(X1,X2)|apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk50_2(X1,X2)=esk51_3(X1,X2,X4)|~one_sorted_str(X1)|~in(X3,X2)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2229, plain, (in(esk335_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)),esk334_3(X1,X2,X3))|in(esk328_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))). 31.61/6.38 cnf(i_0_331, lemma, (subset_complement(the_carrier(X1),esk47_2(X1,X2))=esk48_2(X1,X2)|apply(esk52_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk50_2(X1,X2)=esk51_3(X1,X2,X4)|~one_sorted_str(X1)|~in(X3,X2)|~element(esk47_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3100, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|subset(X6,esk387_1(X6))|esk395_1(X7)!=X7|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X7,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2906, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|subset(X6,esk395_1(X6))|esk387_1(X7)!=X7|~ordinal(X1)|~ordinal(X5)|~in(X7,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3217, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk391_1(X5),esk390_0)|in(esk387_1(X6),esk386_0)|in(esk393_1(X4),X4)|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3019, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk391_1(X5),esk390_0)|in(esk393_1(X4),X4)|subset(X6,esk387_1(X6))|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3199, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk387_1(X5),esk386_0)|in(esk393_1(X4),X4)|subset(X6,esk391_1(X6))|~ordinal(X1)|~in(esk392_0,omega)|~in(X5,esk386_0)|~in(X6,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3001, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|in(esk393_1(X4),X4)|subset(X5,esk391_1(X5))|subset(X6,esk387_1(X6))|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X5,esk390_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2166, plain, (in(esk335_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)),esk334_3(X1,X2,X3))|in(esk331_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))). 31.61/6.38 cnf(i_0_2067, plain, (in(unordered_pair(unordered_pair(esk311_2(X1,X2),X3),unordered_pair(esk311_2(X1,X2),esk311_2(X1,X2))),X2)|in(esk316_5(X1,X2,X4,X5,X5),X5)|in(X4,esk315_2(X1,X2))|~relation(X2)|~in(X3,esk313_2(X1,X2))|~in(X5,X1)|~in(X4,X5))). 31.61/6.38 cnf(i_0_685, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk97_2(X1,X2),X3),unordered_pair(esk97_2(X1,X2),esk97_2(X1,X2))),X2)|in(X4,esk102_4(X1,X2,X5,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),esk101_2(X1,X2))|~in(X3,esk100_2(X1,X2)))). 31.61/6.38 cnf(i_0_717, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk98_2(X1,X2),X3),unordered_pair(esk98_2(X1,X2),esk98_2(X1,X2))),X2)|in(X4,esk102_4(X1,X2,X5,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),esk101_2(X1,X2))|~in(X3,esk99_2(X1,X2)))). 31.61/6.38 cnf(i_0_2039, plain, (in(unordered_pair(unordered_pair(esk312_2(X1,X2),X3),unordered_pair(esk312_2(X1,X2),esk312_2(X1,X2))),X2)|in(esk316_5(X1,X2,X4,X5,X5),X5)|in(X4,esk315_2(X1,X2))|~relation(X2)|~in(X3,esk314_2(X1,X2))|~in(X5,X1)|~in(X4,X5))). 31.61/6.38 cnf(i_0_2392, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk366_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_47, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk8_3(X3,X4,X5))|in(esk4_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk12_7(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_2408, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk366_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_3495, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|element(esk386_0,powerset(powerset(empty_set)))|esk395_1(X7)!=X7|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3113, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|ordinal(esk392_0)|subset(X7,esk387_1(X7))|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_165, plain, (X1=relation_inverse(X2)|in(unordered_pair(unordered_pair(esk26_2(X2,X1),esk27_2(X2,X1)),unordered_pair(esk27_2(X2,X1),esk27_2(X2,X1))),X2)|in(unordered_pair(unordered_pair(esk26_2(X2,X1),esk26_2(X2,X1)),unordered_pair(esk26_2(X2,X1),esk27_2(X2,X1))),X1)|~relation(X1)|~relation(X2))). 31.61/6.38 cnf(i_0_2693, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk389_2(X5,X4),X4)|esk386_0!=empty_set|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2712, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X5,X4),X4)|esk386_0!=empty_set|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2892, lemma, (X1=empty_set|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|esk387_1(X5)!=X5|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_15, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk8_3(X3,X4,X5))|in(esk6_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk12_7(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_2316, plain, (unordered_pair(unordered_pair(esk348_3(X1,X2,X3),esk348_3(X1,X2,X3)),unordered_pair(esk348_3(X1,X2,X3),esk349_3(X1,X2,X3)))=esk347_3(X1,X2,X3)|in(esk353_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3279, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|in(esk387_1(X6),esk386_0)|esk395_1(X7)!=X7|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2885, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|in(esk395_1(X6),esk394_0)|esk387_1(X7)!=X7|~ordinal(X5)|~ordinal(X1)|~in(X7,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3298, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|in(esk387_1(X6),esk386_0)|esk395_1(X7)!=X7|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X7,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2904, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|in(esk395_1(X6),esk394_0)|esk387_1(X7)!=X7|~ordinal(X1)|~ordinal(X5)|~in(X7,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2301, plain, (unordered_pair(unordered_pair(esk350_3(X1,X2,X3),esk350_3(X1,X2,X3)),unordered_pair(esk350_3(X1,X2,X3),esk351_3(X1,X2,X3)))=esk346_3(X1,X2,X3)|in(esk353_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_1004, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk136_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk137_2(X1,X2))|element(esk138_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X3,X2)|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_996, lemma, (subset_complement(the_carrier(X1),esk134_2(X1,X2))=esk135_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk137_2(X1,X2))|element(esk138_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X3,X2)|~element(esk134_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2295, plain, (esk345_3(X1,X2,X3)=esk346_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk352_3(X1,X2,X3))|~function(X3)|~relation(X2)|~relation(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)))). 31.61/6.38 cnf(i_0_3311, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|ordinal(esk392_0)|in(esk387_1(X7),esk386_0)|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2066, plain, (in(unordered_pair(unordered_pair(esk311_2(X1,X2),X3),unordered_pair(esk311_2(X1,X2),esk311_2(X1,X2))),X2)|in(X4,esk315_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk316_5(X1,X2,X4,X5,X5))),X2)|~in(X3,esk313_2(X1,X2))|~in(X5,X1)|~in(X4,X5))). 31.61/6.38 cnf(i_0_3479, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|in(esk395_1(X6),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3498, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|in(esk395_1(X6),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3481, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|subset(X6,esk395_1(X6))|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3500, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|subset(X6,esk395_1(X6))|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2320, plain, (esk345_3(X1,X2,X3)=esk347_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk352_3(X1,X2,X3))|~function(X3)|~relation(X2)|~relation(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)))). 31.61/6.38 cnf(i_0_2063, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk311_2(X1,X2),X3),unordered_pair(esk311_2(X1,X2),esk311_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(X5,esk318_3(X1,X2,X4))|~in(X3,esk313_2(X1,X2))|~in(X4,esk315_2(X1,X2)))). 31.61/6.38 cnf(i_0_2038, plain, (in(unordered_pair(unordered_pair(esk312_2(X1,X2),X3),unordered_pair(esk312_2(X1,X2),esk312_2(X1,X2))),X2)|in(X4,esk315_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk316_5(X1,X2,X4,X5,X5))),X2)|~in(X3,esk314_2(X1,X2))|~in(X5,X1)|~in(X4,X5))). 31.61/6.38 cnf(i_0_2246, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk334_3(X3,X4,X5))|in(esk329_2(X3,X4),esk330_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk335_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))). 31.61/6.38 cnf(i_0_2174, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk334_3(X3,X4,X5))|in(esk332_2(X3,X4),esk333_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk335_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))). 31.61/6.38 cnf(i_0_3086, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|subset(X5,esk395_1(X5))|subset(X6,esk387_1(X6))|~ordinal(X4)|~ordinal(X3)|~in(X6,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X5,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2035, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk312_2(X1,X2),X3),unordered_pair(esk312_2(X1,X2),esk312_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(X5,esk318_3(X1,X2,X4))|~in(X3,esk314_2(X1,X2))|~in(X4,esk315_2(X1,X2)))). 31.61/6.38 cnf(i_0_2388, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk366_3(X1,X2,X4)=esk365_2(X1,X2)|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_824, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X3),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X3,esk122_2(X1,X2))|~in(X4,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_2404, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk366_3(X1,X2,X4)=esk365_2(X1,X2)|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_3099, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|subset(X7,esk387_1(X7))|esk395_1(X8)!=X8|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X8,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2905, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|subset(X7,esk395_1(X7))|esk387_1(X8)!=X8|~ordinal(X4)|~ordinal(X1)|~in(X8,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3484, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3282, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|in(esk395_1(X5),esk394_0)|in(esk387_1(X6),esk386_0)|~ordinal(X4)|~ordinal(X3)|~in(X6,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X5,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3084, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|in(esk395_1(X5),esk394_0)|subset(X6,esk387_1(X6))|~ordinal(X4)|~ordinal(X3)|~in(X6,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X5,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3284, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|in(esk387_1(X5),esk386_0)|subset(X6,esk395_1(X6))|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X6,esk394_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_878, lemma, (relation(esk125_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X3),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X3,esk121_2(X1,X2))|~in(X4,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_2380, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk363_2(X1,X2)|apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_1955, plain, (subset_complement(the_carrier(X1),esk301_2(X1,X2))=esk302_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk303_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk304_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5))|~element(esk301_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1979, plain, (subset_complement(the_carrier(X1),esk299_2(X1,X2))=esk300_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk303_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk304_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5))|~element(esk299_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3003, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|subset(X6,esk391_1(X6))|subset(X7,esk387_1(X7))|~ordinal(X1)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X6,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_158, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk22_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk24_2(X1,X2))|element(esk25_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2396, lemma, (subset_complement(the_carrier(X1),esk362_2(X1,X2))=esk364_2(X1,X2)|apply(esk367_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk365_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk362_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1))))). 31.61/6.38 cnf(i_0_829, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X3),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X3,esk122_2(X1,X2))|~in(X4,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_150, lemma, (subset_complement(the_carrier(X1),esk21_2(X1,X2))=esk23_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk24_2(X1,X2))|element(esk25_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(esk21_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3297, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(esk387_1(X7),esk386_0)|esk395_1(X8)!=X8|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X8,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_589, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk80_3(X1,X2,X3),esk80_3(X1,X2,X3)),unordered_pair(esk80_3(X1,X2,X3),esk81_3(X1,X2,X3))),X1)|in(esk80_3(X1,X2,X3),relation_field(X1))|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~function(X3)|~relation(X3)|~relation(X2)|~relation(X1))). 31.61/6.38 cnf(i_0_2691, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2710, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2890, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X5)!=X5|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2698, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|X4=empty_set|in(esk396_2(X5,X3),X3)|in(esk389_2(X6,X4),X4)|esk386_0!=empty_set|~ordinal(X6)|~ordinal(X5)|~in(esk392_0,omega)|~in(X6,omega)|~in(X6,esk388_0)|~in(X5,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X4,powerset(powerset(X6)))|~element(X3,powerset(powerset(X5)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_883, lemma, (function(esk125_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X3),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X3,esk121_2(X1,X2))|~in(X4,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_590, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk80_3(X1,X2,X3),esk80_3(X1,X2,X3)),unordered_pair(esk80_3(X1,X2,X3),esk81_3(X1,X2,X3))),X1)|in(esk81_3(X1,X2,X3),relation_field(X1))|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~function(X3)|~relation(X3)|~relation(X2)|~relation(X1))). 31.61/6.38 cnf(i_0_2903, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(esk395_1(X7),esk394_0)|esk387_1(X8)!=X8|~ordinal(X4)|~ordinal(X1)|~in(X8,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3021, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk391_1(X6),esk390_0)|subset(X7,esk387_1(X7))|~ordinal(X1)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X6,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_1772, lemma, (in(unordered_pair(unordered_pair(apply(X1,esk265_4(X2,X3,X1,X4)),apply(X1,esk265_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk265_4(X2,X3,X1,X4)),apply(X1,esk266_4(X2,X3,X1,X4)))),X3)|~function(X1)|~relation(X3)|~relation(X1)|~in(X4,esk264_3(X2,X3,X1)))). 31.61/6.38 cnf(i_0_3488, lemma, (empty_set=X1|X2=empty_set|X3=empty_set|in(esk396_2(X4,X2),X2)|in(esk389_2(X5,X3),X3)|in(esk393_1(X1),X1)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X5)|~ordinal(X4)|~in(esk392_0,omega)|~in(X5,omega)|~in(X5,esk388_0)|~in(X4,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X5)))|~element(X2,powerset(powerset(X4))))). 31.61/6.38 cnf(i_0_2695, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|X5=empty_set|in(esk389_2(X6,X5),X5)|in(esk393_1(X4),X4)|esk386_0!=empty_set|~ordinal(X6)|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,omega)|~in(X6,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X6)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_73, plain, (esk1_2(X1,X2)=esk2_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk8_3(X1,X2,X5))|element(esk12_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_834, lemma, (esk126_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X4),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|in(esk124_4(X1,X2,X5,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X4,esk122_2(X1,X2))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_3201, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk387_1(X6),esk386_0)|subset(X7,esk391_1(X7))|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X7,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_1520, plain, (X1=empty_set|in(esk238_5(X2,X3,X3,X3,X4),esk237_4(X2,X3,X3,X3))|in(esk235_2(X2,X1),X1)|in(X3,esk236_1(X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X4,esk237_4(X2,X3,X3,X3))|~in(esk234_1(X2),omega)|~element(X1,powerset(powerset(esk234_1(X2)))))). 31.61/6.38 cnf(i_0_888, lemma, (esk126_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X4),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|in(esk124_4(X1,X2,X5,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X4,esk121_2(X1,X2))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_2714, lemma, (esk389_2(X1,X2)=X3|empty_set=X4|X5=empty_set|X2=empty_set|in(esk396_2(X6,X5),X5)|in(esk393_1(X4),X4)|esk386_0!=empty_set|~ordinal(X1)|~ordinal(X6)|~in(esk392_0,omega)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~element(X5,powerset(powerset(X6)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2894, lemma, (empty_set=X1|X2=empty_set|X3=empty_set|in(esk396_2(X4,X2),X2)|in(esk389_2(X5,X3),X3)|in(esk393_1(X1),X1)|esk387_1(X6)!=X6|~ordinal(X5)|~ordinal(X4)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X4,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X5)))|~element(X2,powerset(powerset(X4))))). 31.61/6.38 cnf(i_0_3219, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|in(esk391_1(X6),esk390_0)|in(esk387_1(X7),esk386_0)|~ordinal(X1)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X6,esk390_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3485, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk389_2(X5,X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_65, plain, (esk1_2(X1,X2)=esk3_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk8_3(X1,X2,X5))|element(esk12_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3288, lemma, (X1=empty_set|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|in(esk387_1(X5),esk386_0)|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_1532, plain, (empty_set=X1|in(esk238_5(X2,X3,X3,X3,X4),esk237_4(X2,X3,X3,X3))|in(esk233_2(X2,X1),X1)|in(X3,esk236_1(X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X4,esk237_4(X2,X3,X3,X3))|~in(esk232_1(X2),omega)|~element(X1,powerset(powerset(esk232_1(X2)))))). 31.61/6.38 cnf(i_0_828, lemma, (esk126_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X4),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk124_4(X1,X2,X5,esk123_2(X1,X2)))),X2)|~in(X4,esk122_2(X1,X2))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_3090, lemma, (X1=empty_set|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|subset(X5,esk387_1(X5))|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_3504, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X5,X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2711, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2891, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk389_2(X5,X4),X4)|esk387_1(X6)!=X6|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2910, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X5,X4),X4)|esk387_1(X6)!=X6|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_825, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X3),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X3,esk122_2(X1,X2))|~in(X4,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_882, lemma, (esk126_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X4),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk124_4(X1,X2,X5,esk123_2(X1,X2)))),X2)|~in(X4,esk121_2(X1,X2))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_3085, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|subset(X6,esk395_1(X6))|subset(X7,esk387_1(X7))|~ordinal(X5)|~ordinal(X1)|~in(X7,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3104, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|subset(X6,esk395_1(X6))|subset(X7,esk387_1(X7))|~ordinal(X1)|~ordinal(X5)|~in(X7,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_879, lemma, (relation_dom(esk125_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X3),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk124_4(X1,X2,X4,esk123_2(X1,X2)))),X2)|~in(X3,esk121_2(X1,X2))|~in(X4,esk123_2(X1,X2)))). 31.61/6.38 cnf(i_0_1973, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk303_3(X3,X4,X5))|in(esk299_2(X3,X4),X4)|element(esk304_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2),powerset(the_carrier(X3)))|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_1943, plain, (unordered_pair(unordered_pair(esk301_2(X1,X2),esk301_2(X1,X2)),unordered_pair(esk301_2(X1,X2),esk302_2(X1,X2)))=esk297_2(X1,X2)|subset_complement(the_carrier(X1),esk306_4(X1,X2,X3,X4))=esk307_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk306_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3499, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|element(esk386_0,powerset(powerset(empty_set)))|subset(X7,esk395_1(X7))|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3083, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|in(esk395_1(X6),esk394_0)|subset(X7,esk387_1(X7))|~ordinal(X5)|~ordinal(X1)|~in(X7,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3283, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|in(esk387_1(X6),esk386_0)|subset(X7,esk395_1(X7))|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3497, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(esk395_1(X7),esk394_0)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3281, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|in(esk395_1(X6),esk394_0)|in(esk387_1(X7),esk386_0)|~ordinal(X5)|~ordinal(X1)|~in(X7,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X6,esk394_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1965, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk303_3(X3,X4,X5))|in(esk301_2(X3,X4),X4)|element(esk304_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2),powerset(the_carrier(X3)))|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_1983, plain, (unordered_pair(unordered_pair(esk299_2(X1,X2),esk299_2(X1,X2)),unordered_pair(esk299_2(X1,X2),esk300_2(X1,X2)))=esk298_2(X1,X2)|subset_complement(the_carrier(X1),esk306_4(X1,X2,X3,X4))=esk307_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk306_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3102, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|in(esk395_1(X6),esk394_0)|subset(X7,esk387_1(X7))|~ordinal(X1)|~ordinal(X5)|~in(X7,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3302, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|in(esk387_1(X6),esk386_0)|subset(X7,esk395_1(X7))|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X7,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2697, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|X6=empty_set|in(esk389_2(X7,X6),X6)|esk386_0!=empty_set|~ordinal(X7)|~ordinal(X1)|~in(esk392_0,omega)|~in(X7,omega)|~in(X7,esk388_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X6,powerset(powerset(X7)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2716, lemma, (esk389_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X6=empty_set|X2=empty_set|in(esk396_2(X7,X6),X6)|esk386_0!=empty_set|~ordinal(X1)|~ordinal(X7)|~in(esk392_0,omega)|~in(X1,omega)|~in(X1,esk388_0)|~in(X7,omega)|~in(X3,X2)|~in(X4,X5)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~element(X6,powerset(powerset(X7)))|~subset(esk389_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3300, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|in(esk395_1(X6),esk394_0)|in(esk387_1(X7),esk386_0)|~ordinal(X1)|~ordinal(X5)|~in(X7,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,esk394_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3483, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X5)|~ordinal(X1)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3502, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~ordinal(X5)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3490, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|X4=empty_set|in(esk396_2(X5,X3),X3)|in(esk389_2(X6,X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X6)|~ordinal(X5)|~in(esk392_0,omega)|~in(X6,omega)|~in(X6,esk388_0)|~in(X5,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X4,powerset(powerset(X6)))|~element(X3,powerset(powerset(X5)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2247, plain, (in(esk335_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)),esk334_3(X1,X2,X3))|in(esk329_2(X1,X2),esk330_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))). 31.61/6.38 cnf(i_0_45, plain, (unordered_pair(unordered_pair(esk4_2(X1,X2),esk4_2(X1,X2)),unordered_pair(esk4_2(X1,X2),esk5_2(X1,X2)))=esk3_2(X1,X2)|subset_complement(the_carrier(X1),esk10_4(X1,X2,X3,X4))=esk11_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk10_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1508, plain, (esk235_2(X1,X2)=X3|X2=empty_set|in(esk238_5(X1,X4,X4,X4,X5),esk237_4(X1,X4,X4,X4))|in(X4,esk236_1(X1))|~ordinal(X4)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))|~in(X5,esk237_4(X1,X4,X4,X4))|~in(esk234_1(X1),omega)|~in(X3,X2)|~element(X2,powerset(powerset(esk234_1(X1))))|~subset(esk235_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1544, plain, (esk233_2(X1,X2)=X3|empty_set=X2|in(esk238_5(X1,X4,X4,X4,X5),esk237_4(X1,X4,X4,X4))|in(X4,esk236_1(X1))|~ordinal(X4)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))|~in(X5,esk237_4(X1,X4,X4,X4))|~in(esk232_1(X1),omega)|~in(X3,X2)|~element(X2,powerset(powerset(esk232_1(X1))))|~subset(esk233_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2312, plain, (esk353_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk348_3(X1,X2,X3)),apply(X3,esk348_3(X1,X2,X3))),unordered_pair(apply(X3,esk348_3(X1,X2,X3)),apply(X3,esk349_3(X1,X2,X3)))),X2)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_2709, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3286, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|in(esk387_1(X5),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2175, plain, (in(esk335_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)),esk334_3(X1,X2,X3))|in(esk332_2(X1,X2),esk333_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))). 31.61/6.38 cnf(i_0_37, plain, (unordered_pair(unordered_pair(esk6_2(X1,X2),esk6_2(X1,X2)),unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)))=esk2_2(X1,X2)|subset_complement(the_carrier(X1),esk10_4(X1,X2,X3,X4))=esk11_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk10_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2713, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|empty_set=X7|X2=empty_set|X5=empty_set|in(esk393_1(X7),X7)|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(esk392_0,omega)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X7,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2896, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|X4=empty_set|in(esk396_2(X5,X3),X3)|in(esk389_2(X6,X4),X4)|esk387_1(X7)!=X7|~ordinal(X6)|~ordinal(X5)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X6,omega)|~in(X6,esk388_0)|~in(X5,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X4,powerset(powerset(X6)))|~element(X3,powerset(powerset(X5)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_2307, plain, (esk353_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk350_3(X1,X2,X3)),apply(X3,esk350_3(X1,X2,X3))),unordered_pair(apply(X3,esk350_3(X1,X2,X3)),apply(X3,esk351_3(X1,X2,X3)))),X2)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3088, lemma, (X1=empty_set|X2=empty_set|in(esk396_2(X3,X1),X1)|in(esk389_2(X4,X2),X2)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X5,esk387_1(X5))|~ordinal(X4)|~ordinal(X3)|~in(X5,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X3,omega)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3))))). 31.61/6.38 cnf(i_0_2889, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X6)!=X6|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2908, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X6)!=X6|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3487, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|X5=empty_set|in(esk389_2(X6,X5),X5)|in(esk393_1(X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X6)|~ordinal(X1)|~in(esk392_0,omega)|~in(X6,omega)|~in(X6,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X6)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_48, plain, (esk12_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk8_3(X1,X2,X3))|in(esk4_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2893, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|X5=empty_set|in(esk389_2(X6,X5),X5)|in(esk393_1(X4),X4)|esk387_1(X7)!=X7|~ordinal(X6)|~ordinal(X1)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X6,omega)|~in(X6,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X6)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2912, lemma, (esk389_2(X1,X2)=X3|empty_set=X4|X5=empty_set|X2=empty_set|in(esk396_2(X6,X5),X5)|in(esk393_1(X4),X4)|esk387_1(X7)!=X7|~ordinal(X1)|~ordinal(X6)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~element(X5,powerset(powerset(X6)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3103, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|subset(X7,esk395_1(X7))|subset(X8,esk387_1(X8))|~ordinal(X4)|~ordinal(X1)|~in(X8,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3101, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(esk395_1(X7),esk394_0)|subset(X8,esk387_1(X8))|~ordinal(X4)|~ordinal(X1)|~in(X8,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3506, lemma, (esk389_2(X1,X2)=X3|empty_set=X4|X5=empty_set|X2=empty_set|in(esk396_2(X6,X5),X5)|in(esk393_1(X4),X4)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~ordinal(X6)|~in(esk392_0,omega)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~element(X5,powerset(powerset(X6)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1952, plain, (unordered_pair(unordered_pair(esk306_4(X1,X2,X3,X4),esk306_4(X1,X2,X3,X4)),unordered_pair(esk306_4(X1,X2,X3,X4),esk307_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk301_2(X1,X2))=esk302_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk301_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_27, plain, (unordered_pair(unordered_pair(esk10_4(X1,X2,X3,X4),esk10_4(X1,X2,X3,X4)),unordered_pair(esk10_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk6_2(X1,X2))=esk7_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk6_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_16, plain, (esk12_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk8_3(X1,X2,X3))|in(esk6_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3301, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(esk387_1(X7),esk386_0)|subset(X8,esk395_1(X8))|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X8,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2715, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X7=esk393_1(X8)|empty_set=X8|X2=empty_set|X5=empty_set|esk386_0!=empty_set|~ordinal(X4)|~ordinal(X1)|~in(esk392_0,omega)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X7,X8)|~in(X3,X2)|~element(X8,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X8),X7))). 31.61/6.38 cnf(i_0_3299, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(esk395_1(X7),esk394_0)|in(esk387_1(X8),esk386_0)|~ordinal(X4)|~ordinal(X1)|~in(X8,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X7,esk394_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2909, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|esk387_1(X7)!=X7|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_59, plain, (unordered_pair(unordered_pair(esk10_4(X1,X2,X3,X4),esk10_4(X1,X2,X3,X4)),unordered_pair(esk10_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk4_2(X1,X2))=esk5_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(esk4_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1976, plain, (unordered_pair(unordered_pair(esk306_4(X1,X2,X3,X4),esk306_4(X1,X2,X3,X4)),unordered_pair(esk306_4(X1,X2,X3,X4),esk307_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk299_2(X1,X2))=esk300_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(esk299_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3290, lemma, (empty_set=X1|X2=empty_set|X3=empty_set|in(esk396_2(X4,X2),X2)|in(esk389_2(X5,X3),X3)|in(esk387_1(X6),esk386_0)|in(esk393_1(X1),X1)|~ordinal(X5)|~ordinal(X4)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X4,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X5)))|~element(X2,powerset(powerset(X4))))). 31.61/6.38 cnf(i_0_3092, lemma, (empty_set=X1|X2=empty_set|X3=empty_set|in(esk396_2(X4,X2),X2)|in(esk389_2(X5,X3),X3)|in(esk393_1(X1),X1)|subset(X6,esk387_1(X6))|~ordinal(X5)|~ordinal(X4)|~in(esk392_0,omega)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X4,omega)|~element(X1,powerset(powerset(esk392_0)))|~element(X3,powerset(powerset(X5)))|~element(X2,powerset(powerset(X4))))). 31.61/6.38 cnf(i_0_23, plain, (subset_complement(the_carrier(X1),esk6_2(X1,X2))=esk7_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk8_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk12_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~element(esk6_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2895, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|X6=empty_set|in(esk389_2(X7,X6),X6)|esk387_1(X8)!=X8|~ordinal(X7)|~ordinal(X1)|~in(esk392_0,omega)|~in(X8,esk386_0)|~in(X7,omega)|~in(X7,esk388_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X6,powerset(powerset(X7)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3503, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3287, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk389_2(X5,X4),X4)|in(esk387_1(X6),esk386_0)|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3306, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X5,X4),X4)|in(esk387_1(X6),esk386_0)|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3089, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk389_2(X5,X4),X4)|subset(X6,esk387_1(X6))|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_55, plain, (subset_complement(the_carrier(X1),esk4_2(X1,X2))=esk5_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk8_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk12_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~element(esk4_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2914, lemma, (esk389_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X6=empty_set|X2=empty_set|in(esk396_2(X7,X6),X6)|esk387_1(X8)!=X8|~ordinal(X1)|~ordinal(X7)|~in(esk392_0,omega)|~in(X8,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X7,omega)|~in(X3,X2)|~in(X4,X5)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~element(X6,powerset(powerset(X7)))|~subset(esk389_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_2911, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|empty_set=X7|X2=empty_set|X5=empty_set|in(esk393_1(X7),X7)|esk387_1(X8)!=X8|~ordinal(X4)|~ordinal(X1)|~in(esk392_0,omega)|~in(X8,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X7,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3108, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk396_2(X5,X4),X4)|subset(X6,esk387_1(X6))|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_49, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk8_3(X3,X4,X5))|in(esk4_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|element(esk12_7(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2),powerset(the_carrier(X3)))|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_2299, plain, (esk345_3(X1,X2,X3)=esk346_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk354_4(X1,X2,X3,X4)),apply(X3,esk354_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk354_4(X1,X2,X3,X4)),apply(X3,esk355_4(X1,X2,X3,X4)))),X2)|~function(X3)|~relation(X2)|~relation(X3)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_809, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk124_4(X1,X2,X5,esk123_2(X1,X2)))),X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_684, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk97_2(X1,X2),X3),unordered_pair(esk97_2(X1,X2),esk97_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)),esk101_2(X1,X2))|~in(X5,esk102_4(X1,X2,X6,X4))|~in(X3,esk100_2(X1,X2)))). 31.61/6.38 cnf(i_0_716, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk98_2(X1,X2),X3),unordered_pair(esk98_2(X1,X2),esk98_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)),esk101_2(X1,X2))|~in(X5,esk102_4(X1,X2,X6,X4))|~in(X3,esk99_2(X1,X2)))). 31.61/6.38 cnf(i_0_2324, plain, (esk345_3(X1,X2,X3)=esk347_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk354_4(X1,X2,X3,X4)),apply(X3,esk354_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk354_4(X1,X2,X3,X4)),apply(X3,esk355_4(X1,X2,X3,X4)))),X2)|~function(X3)|~relation(X2)|~relation(X3)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.38 cnf(i_0_3501, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~ordinal(X1)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3489, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|X6=empty_set|in(esk389_2(X7,X6),X6)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X7)|~ordinal(X1)|~in(esk392_0,omega)|~in(X7,omega)|~in(X7,esk388_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X6,powerset(powerset(X7)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3508, lemma, (esk389_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X6=empty_set|X2=empty_set|in(esk396_2(X7,X6),X6)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X1)|~ordinal(X7)|~in(esk392_0,omega)|~in(X1,omega)|~in(X1,esk388_0)|~in(X7,omega)|~in(X3,X2)|~in(X4,X5)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~element(X6,powerset(powerset(X7)))|~subset(esk389_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.38 cnf(i_0_3285, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|in(esk387_1(X6),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_17, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk8_3(X3,X4,X5))|in(esk6_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|element(esk12_7(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2),powerset(the_carrier(X3)))|~one_sorted_str(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5))|~element(X4,powerset(powerset(the_carrier(X3)))))). 31.61/6.38 cnf(i_0_2294, plain, (in(unordered_pair(unordered_pair(apply(X1,esk354_4(X2,X3,X1,X4)),apply(X1,esk354_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk354_4(X2,X3,X1,X4)),apply(X1,esk355_4(X2,X3,X1,X4)))),X3)|esk347_3(X2,X3,X1)!=esk346_3(X2,X3,X1)|~function(X1)|~relation(X3)|~relation(X1)|~in(X4,esk352_3(X2,X3,X1)))). 31.61/6.38 cnf(i_0_3094, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|X4=empty_set|in(esk396_2(X5,X3),X3)|in(esk389_2(X6,X4),X4)|subset(X7,esk387_1(X7))|~ordinal(X6)|~ordinal(X5)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X6,omega)|~in(X6,esk388_0)|~in(X5,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X4,powerset(powerset(X6)))|~element(X3,powerset(powerset(X5)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3091, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|X5=empty_set|in(esk389_2(X6,X5),X5)|in(esk393_1(X4),X4)|subset(X7,esk387_1(X7))|~ordinal(X6)|~ordinal(X1)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X6,omega)|~in(X6,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X6)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3110, lemma, (esk389_2(X1,X2)=X3|empty_set=X4|X5=empty_set|X2=empty_set|in(esk396_2(X6,X5),X5)|in(esk393_1(X4),X4)|subset(X7,esk387_1(X7))|~ordinal(X1)|~ordinal(X6)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~element(X5,powerset(powerset(X6)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3304, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|in(esk387_1(X6),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3087, lemma, (esk396_2(X1,X2)=X3|X2=empty_set|X4=empty_set|in(esk389_2(X5,X4),X4)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X6,esk387_1(X6))|~ordinal(X5)|~ordinal(X1)|~in(X6,esk386_0)|~in(X5,omega)|~in(X5,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(X5)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3106, lemma, (esk389_2(X1,X2)=X3|X4=empty_set|X2=empty_set|in(esk396_2(X5,X4),X4)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X6,esk387_1(X6))|~ordinal(X1)|~ordinal(X5)|~in(X6,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X5,omega)|~in(X3,X2)|~element(X2,powerset(powerset(X1)))|~element(X4,powerset(powerset(X5)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2907, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|esk387_1(X7)!=X7|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1956, plain, (esk304_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk301_2(X1,X2))=esk302_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk303_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3))|~element(esk301_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_2913, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X7=esk393_1(X8)|empty_set=X8|X2=empty_set|X5=empty_set|esk387_1(X9)!=X9|~ordinal(X4)|~ordinal(X1)|~in(esk392_0,omega)|~in(X9,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X7,X8)|~in(X3,X2)|~element(X8,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X8),X7))). 31.61/6.38 cnf(i_0_3292, lemma, (X1=esk393_1(X2)|empty_set=X2|X3=empty_set|X4=empty_set|in(esk396_2(X5,X3),X3)|in(esk389_2(X6,X4),X4)|in(esk387_1(X7),esk386_0)|~ordinal(X6)|~ordinal(X5)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X6,omega)|~in(X6,esk388_0)|~in(X5,omega)|~in(X1,X2)|~element(X2,powerset(powerset(esk392_0)))|~element(X4,powerset(powerset(X6)))|~element(X3,powerset(powerset(X5)))|~subset(esk393_1(X2),X1))). 31.61/6.38 cnf(i_0_3505, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|empty_set=X7|X2=empty_set|X5=empty_set|in(esk393_1(X7),X7)|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~ordinal(X1)|~in(esk392_0,omega)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X7,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3289, lemma, (esk396_2(X1,X2)=X3|empty_set=X4|X2=empty_set|X5=empty_set|in(esk389_2(X6,X5),X5)|in(esk387_1(X7),esk386_0)|in(esk393_1(X4),X4)|~ordinal(X6)|~ordinal(X1)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X6,omega)|~in(X6,esk388_0)|~in(X1,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X6)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_683, lemma, (in(unordered_pair(unordered_pair(esk97_2(X1,X2),X3),unordered_pair(esk97_2(X1,X2),esk97_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk101_2(X1,X2))|in(esk103_5(X1,X2,X4,X5,X4),X4)|~relation(X2)|~in(X3,esk100_2(X1,X2))|~in(X5,X4)|~in(X4,X1))). 31.61/6.38 cnf(i_0_3308, lemma, (esk389_2(X1,X2)=X3|empty_set=X4|X5=empty_set|X2=empty_set|in(esk396_2(X6,X5),X5)|in(esk387_1(X7),esk386_0)|in(esk393_1(X4),X4)|~ordinal(X1)|~ordinal(X6)|~in(esk392_0,omega)|~in(X7,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X6,omega)|~in(X3,X2)|~element(X4,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~element(X5,powerset(powerset(X6)))|~subset(esk389_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_1980, plain, (esk304_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk299_2(X1,X2))=esk300_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk303_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3))|~element(esk299_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_715, lemma, (in(unordered_pair(unordered_pair(esk98_2(X1,X2),X3),unordered_pair(esk98_2(X1,X2),esk98_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk101_2(X1,X2))|in(esk103_5(X1,X2,X4,X5,X4),X4)|~relation(X2)|~in(X3,esk99_2(X1,X2))|~in(X5,X4)|~in(X4,X1))). 31.61/6.38 cnf(i_0_3107, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|subset(X7,esk387_1(X7))|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_2311, plain, (in(unordered_pair(unordered_pair(apply(X1,esk348_3(X2,X3,X1)),apply(X1,esk348_3(X2,X3,X1))),unordered_pair(apply(X1,esk348_3(X2,X3,X1)),apply(X1,esk349_3(X2,X3,X1)))),X3)|in(esk353_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~function(X1)|~relation(X1)|~relation(X3)|~in(X4,esk352_3(X2,X3,X1)))). 31.61/6.38 cnf(i_0_1957, plain, (subset_complement(the_carrier(X1),esk301_2(X1,X2))=esk302_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk303_3(X1,X2,X5))|element(esk304_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5))|~element(esk301_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_1981, plain, (subset_complement(the_carrier(X1),esk299_2(X1,X2))=esk300_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk303_3(X1,X2,X5))|element(esk304_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5))|~element(esk299_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.38 cnf(i_0_3305, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)),omega)|in(esk387_1(X7),esk386_0)|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.38 cnf(i_0_3507, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X7=esk393_1(X8)|empty_set=X8|X2=empty_set|X5=empty_set|element(esk386_0,powerset(powerset(empty_set)))|~ordinal(X4)|~ordinal(X1)|~in(esk392_0,omega)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X7,X8)|~in(X3,X2)|~element(X8,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X8),X7))). 31.61/6.38 cnf(i_0_923, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk124_4(X1,X2,X5,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.38 cnf(i_0_2306, plain, (in(unordered_pair(unordered_pair(apply(X1,esk350_3(X2,X3,X1)),apply(X1,esk350_3(X2,X3,X1))),unordered_pair(apply(X1,esk350_3(X2,X3,X1)),apply(X1,esk351_3(X2,X3,X1)))),X3)|in(esk353_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~function(X1)|~relation(X1)|~relation(X3)|~in(X4,esk352_3(X2,X3,X1)))). 31.61/6.39 cnf(i_0_917, lemma, (esk118_2(X1,X2)=esk121_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk124_4(X1,X2,X5,esk123_2(X1,X2)))),X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_863, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk124_4(X1,X2,X5,esk123_2(X1,X2)))),X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_869, lemma, (esk122_2(X1,X2)=esk118_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk124_4(X1,X2,X5,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_3303, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|in(esk387_1(X7),esk386_0)|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.39 cnf(i_0_3105, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X2=empty_set|X5=empty_set|element(esk394_0,powerset(powerset(set_union2(esk392_0,unordered_pair(esk392_0,esk392_0)))))|subset(X7,esk387_1(X7))|~ordinal(X4)|~ordinal(X1)|~in(X7,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.39 cnf(i_0_3291, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|X6=empty_set|in(esk389_2(X7,X6),X6)|in(esk387_1(X8),esk386_0)|~ordinal(X7)|~ordinal(X1)|~in(esk392_0,omega)|~in(X8,esk386_0)|~in(X7,omega)|~in(X7,esk388_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X6,powerset(powerset(X7)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.39 cnf(i_0_3310, lemma, (esk389_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X6=empty_set|X2=empty_set|in(esk396_2(X7,X6),X6)|in(esk387_1(X8),esk386_0)|~ordinal(X1)|~ordinal(X7)|~in(esk392_0,omega)|~in(X8,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X7,omega)|~in(X3,X2)|~in(X4,X5)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~element(X6,powerset(powerset(X7)))|~subset(esk389_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.39 cnf(i_0_815, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk124_4(X1,X2,X5,esk123_2(X1,X2)),esk123_2(X1,X2))|esk120_2(X1,X2)!=esk119_2(X1,X2)|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_941, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk124_4(X1,X2,X5,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_935, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk118_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk124_4(X1,X2,X5,esk123_2(X1,X2)))),X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_592, plain, (relation_isomorphism(X1,X2,X3)|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~function(X3)|~relation(X2)|~relation(X1)|~relation(X3)|~in(unordered_pair(unordered_pair(apply(X3,esk80_3(X1,X2,X3)),apply(X3,esk80_3(X1,X2,X3))),unordered_pair(apply(X3,esk80_3(X1,X2,X3)),apply(X3,esk81_3(X1,X2,X3)))),X2)|~in(unordered_pair(unordered_pair(esk80_3(X1,X2,X3),esk80_3(X1,X2,X3)),unordered_pair(esk80_3(X1,X2,X3),esk81_3(X1,X2,X3))),X1)|~in(esk80_3(X1,X2,X3),relation_field(X1))|~in(esk81_3(X1,X2,X3),relation_field(X1)))). 31.61/6.39 cnf(i_0_3093, lemma, (esk396_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X2=empty_set|X6=empty_set|in(esk389_2(X7,X6),X6)|subset(X8,esk387_1(X8))|~ordinal(X7)|~ordinal(X1)|~in(esk392_0,omega)|~in(X8,esk386_0)|~in(X7,omega)|~in(X7,esk388_0)|~in(X1,omega)|~in(X4,X5)|~in(X3,X2)|~element(X5,powerset(powerset(esk392_0)))|~element(X6,powerset(powerset(X7)))|~element(X2,powerset(powerset(X1)))|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.39 cnf(i_0_832, lemma, (in(unordered_pair(unordered_pair(esk119_2(X1,X2),X3),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|in(apply(esk125_2(X1,X2),X5),esk126_3(X1,X2,X5))|~relation(X2)|~in(X3,esk122_2(X1,X2))|~in(X4,esk123_2(X1,X2))|~in(X5,X1))). 31.61/6.39 cnf(i_0_3112, lemma, (esk389_2(X1,X2)=X3|X4=esk393_1(X5)|empty_set=X5|X6=empty_set|X2=empty_set|in(esk396_2(X7,X6),X6)|subset(X8,esk387_1(X8))|~ordinal(X1)|~ordinal(X7)|~in(esk392_0,omega)|~in(X8,esk386_0)|~in(X1,omega)|~in(X1,esk388_0)|~in(X7,omega)|~in(X3,X2)|~in(X4,X5)|~element(X5,powerset(powerset(esk392_0)))|~element(X2,powerset(powerset(X1)))|~element(X6,powerset(powerset(X7)))|~subset(esk389_2(X1,X2),X3)|~subset(esk393_1(X5),X4))). 31.61/6.39 cnf(i_0_3307, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|empty_set=X7|X2=empty_set|X5=empty_set|in(esk387_1(X8),esk386_0)|in(esk393_1(X7),X7)|~ordinal(X4)|~ordinal(X1)|~in(esk392_0,omega)|~in(X8,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X7,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.39 cnf(i_0_3109, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|empty_set=X7|X2=empty_set|X5=empty_set|in(esk393_1(X7),X7)|subset(X8,esk387_1(X8))|~ordinal(X4)|~ordinal(X1)|~in(esk392_0,omega)|~in(X8,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X3,X2)|~element(X7,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3))). 31.61/6.39 cnf(i_0_24, plain, (esk12_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk6_2(X1,X2))=esk7_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk8_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~element(esk6_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_886, lemma, (in(unordered_pair(unordered_pair(esk120_2(X1,X2),X3),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|in(esk124_4(X1,X2,X4,esk123_2(X1,X2)),esk123_2(X1,X2))|in(apply(esk125_2(X1,X2),X5),esk126_3(X1,X2,X5))|~relation(X2)|~in(X3,esk121_2(X1,X2))|~in(X4,esk123_2(X1,X2))|~in(X5,X1))). 31.61/6.39 cnf(i_0_826, lemma, (in(unordered_pair(unordered_pair(esk119_2(X1,X2),X3),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|in(apply(esk125_2(X1,X2),X4),esk126_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk124_4(X1,X2,X5,esk123_2(X1,X2)))),X2)|~in(X3,esk122_2(X1,X2))|~in(X5,esk123_2(X1,X2))|~in(X4,X1))). 31.61/6.39 cnf(i_0_880, lemma, (in(unordered_pair(unordered_pair(esk120_2(X1,X2),X3),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|in(apply(esk125_2(X1,X2),X4),esk126_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk124_4(X1,X2,X5,esk123_2(X1,X2)))),X2)|~in(X3,esk121_2(X1,X2))|~in(X5,esk123_2(X1,X2))|~in(X4,X1))). 31.61/6.39 cnf(i_0_56, plain, (esk12_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk4_2(X1,X2))=esk5_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk8_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~element(esk4_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_2194, plain, (unordered_pair(unordered_pair(esk337_4(X1,X2,X3,X4),esk337_4(X1,X2,X3,X4)),unordered_pair(esk337_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk331_2(X1,X2),esk331_2(X1,X2)),unordered_pair(esk331_2(X1,X2),esk332_2(X1,X2)))=esk327_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.39 cnf(i_0_682, lemma, (in(unordered_pair(unordered_pair(esk97_2(X1,X2),X3),unordered_pair(esk97_2(X1,X2),esk97_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk101_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk103_5(X1,X2,X4,X5,X4))),X2)|~in(X3,esk100_2(X1,X2))|~in(X4,X1)|~in(X5,X4))). 31.61/6.39 cnf(i_0_714, lemma, (in(unordered_pair(unordered_pair(esk98_2(X1,X2),X3),unordered_pair(esk98_2(X1,X2),esk98_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk101_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk103_5(X1,X2,X4,X5,X4))),X2)|~in(X3,esk99_2(X1,X2))|~in(X4,X1)|~in(X5,X4))). 31.61/6.39 cnf(i_0_2212, plain, (unordered_pair(unordered_pair(esk337_4(X1,X2,X3,X4),esk337_4(X1,X2,X3,X4)),unordered_pair(esk337_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk326_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.39 cnf(i_0_3309, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X7=esk393_1(X8)|empty_set=X8|X2=empty_set|X5=empty_set|in(esk387_1(X9),esk386_0)|~ordinal(X4)|~ordinal(X1)|~in(esk392_0,omega)|~in(X9,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X7,X8)|~in(X3,X2)|~element(X8,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X8),X7))). 31.61/6.39 cnf(i_0_3111, lemma, (esk396_2(X1,X2)=X3|esk389_2(X4,X5)=X6|X7=esk393_1(X8)|empty_set=X8|X2=empty_set|X5=empty_set|subset(X9,esk387_1(X9))|~ordinal(X4)|~ordinal(X1)|~in(esk392_0,omega)|~in(X9,esk386_0)|~in(X4,omega)|~in(X4,esk388_0)|~in(X1,omega)|~in(X6,X5)|~in(X7,X8)|~in(X3,X2)|~element(X8,powerset(powerset(esk392_0)))|~element(X5,powerset(powerset(X4)))|~element(X2,powerset(powerset(X1)))|~subset(esk389_2(X4,X5),X6)|~subset(esk396_2(X1,X2),X3)|~subset(esk393_1(X8),X7))). 31.61/6.39 cnf(i_0_845, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk119_2(X1,X2),esk122_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk124_4(X1,X2,X5,esk123_2(X1,X2)))),X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_25, plain, (subset_complement(the_carrier(X1),esk6_2(X1,X2))=esk7_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk8_3(X1,X2,X5))|element(esk12_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~element(esk6_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_639, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk88_3(X2,X3,X1),esk88_3(X2,X3,X1)),unordered_pair(esk88_3(X2,X3,X1),esk89_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk88_3(X2,X3,X1),esk88_3(X2,X3,X1)),unordered_pair(esk88_3(X2,X3,X1),esk89_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X2))). 31.61/6.39 cnf(i_0_899, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk120_2(X1,X2),esk121_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk124_4(X1,X2,X5,esk123_2(X1,X2)))),X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_216, plain, (relation_rng_restriction(X1,X2)=X3|in(unordered_pair(unordered_pair(esk35_3(X1,X2,X3),esk34_3(X1,X2,X3)),unordered_pair(esk34_3(X1,X2,X3),esk34_3(X1,X2,X3))),X2)|in(unordered_pair(unordered_pair(esk35_3(X1,X2,X3),esk34_3(X1,X2,X3)),unordered_pair(esk34_3(X1,X2,X3),esk34_3(X1,X2,X3))),X3)|~relation(X3)|~relation(X2))). 31.61/6.39 cnf(i_0_851, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk124_4(X1,X2,X5,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk119_2(X1,X2),esk122_2(X1,X2))|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_905, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(esk124_4(X1,X2,X5,esk123_2(X1,X2)),esk123_2(X1,X2))|in(esk120_2(X1,X2),esk121_2(X1,X2))|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_57, plain, (subset_complement(the_carrier(X1),esk4_2(X1,X2))=esk5_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk8_3(X1,X2,X5))|element(esk12_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~element(esk4_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_2230, plain, (unordered_pair(unordered_pair(esk337_4(X1,X2,X3,X4),esk337_4(X1,X2,X3,X4)),unordered_pair(esk337_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk329_2(X1,X2),X5),unordered_pair(esk329_2(X1,X2),esk329_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3))|~in(X5,esk330_2(X1,X2)))). 31.61/6.39 cnf(i_0_2237, plain, (in(unordered_pair(unordered_pair(esk329_2(X1,X2),X3),unordered_pair(esk329_2(X1,X2),esk329_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk334_3(X1,X2,X6))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk335_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,esk330_2(X1,X2))|~in(X5,X4))). 31.61/6.39 cnf(i_0_2183, plain, (in(unordered_pair(unordered_pair(esk332_2(X1,X2),X3),unordered_pair(esk332_2(X1,X2),esk332_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk334_3(X1,X2,X6))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk335_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,esk333_2(X1,X2))|~in(X5,X4))). 31.61/6.39 cnf(i_0_2176, plain, (unordered_pair(unordered_pair(esk337_4(X1,X2,X3,X4),esk337_4(X1,X2,X3,X4)),unordered_pair(esk337_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk332_2(X1,X2),X5),unordered_pair(esk332_2(X1,X2),esk332_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk334_3(X1,X2,X3))|~in(X5,esk333_2(X1,X2)))). 31.61/6.39 cnf(i_0_1947, plain, (unordered_pair(unordered_pair(esk301_2(X1,X2),esk301_2(X1,X2)),unordered_pair(esk301_2(X1,X2),esk302_2(X1,X2)))=esk297_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk303_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk304_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_1987, plain, (unordered_pair(unordered_pair(esk299_2(X1,X2),esk299_2(X1,X2)),unordered_pair(esk299_2(X1,X2),esk300_2(X1,X2)))=esk298_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk303_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk304_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_39, plain, (unordered_pair(unordered_pair(esk4_2(X1,X2),esk4_2(X1,X2)),unordered_pair(esk4_2(X1,X2),esk5_2(X1,X2)))=esk3_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk8_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk12_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_1643, plain, (relation_composition(X1,X2)=X3|in(unordered_pair(unordered_pair(esk247_3(X1,X2,X3),esk247_3(X1,X2,X3)),unordered_pair(esk247_3(X1,X2,X3),esk249_3(X1,X2,X3))),X1)|in(unordered_pair(unordered_pair(esk247_3(X1,X2,X3),esk247_3(X1,X2,X3)),unordered_pair(esk247_3(X1,X2,X3),esk248_3(X1,X2,X3))),X3)|~relation(X3)|~relation(X2)|~relation(X1))). 31.61/6.39 cnf(i_0_2201, plain, (unordered_pair(unordered_pair(esk331_2(X1,X2),esk331_2(X1,X2)),unordered_pair(esk331_2(X1,X2),esk332_2(X1,X2)))=esk327_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk334_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk335_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))). 31.61/6.39 cnf(i_0_2219, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk326_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk334_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk335_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))). 31.61/6.39 cnf(i_0_1642, plain, (relation_composition(X1,X2)=X3|in(unordered_pair(unordered_pair(esk248_3(X1,X2,X3),esk249_3(X1,X2,X3)),unordered_pair(esk249_3(X1,X2,X3),esk249_3(X1,X2,X3))),X2)|in(unordered_pair(unordered_pair(esk247_3(X1,X2,X3),esk247_3(X1,X2,X3)),unordered_pair(esk247_3(X1,X2,X3),esk248_3(X1,X2,X3))),X3)|~relation(X3)|~relation(X2)|~relation(X1))). 31.61/6.39 cnf(i_0_1944, plain, (unordered_pair(unordered_pair(esk306_4(X1,X2,X3,X4),esk306_4(X1,X2,X3,X4)),unordered_pair(esk306_4(X1,X2,X3,X4),esk307_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk301_2(X1,X2),esk301_2(X1,X2)),unordered_pair(esk301_2(X1,X2),esk302_2(X1,X2)))=esk297_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_1984, plain, (unordered_pair(unordered_pair(esk306_4(X1,X2,X3,X4),esk306_4(X1,X2,X3,X4)),unordered_pair(esk306_4(X1,X2,X3,X4),esk307_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk299_2(X1,X2),esk299_2(X1,X2)),unordered_pair(esk299_2(X1,X2),esk300_2(X1,X2)))=esk298_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk303_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_31, plain, (unordered_pair(unordered_pair(esk6_2(X1,X2),esk6_2(X1,X2)),unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)))=esk2_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk8_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk12_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_43, plain, (unordered_pair(unordered_pair(esk10_4(X1,X2,X3,X4),esk10_4(X1,X2,X3,X4)),unordered_pair(esk10_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk4_2(X1,X2),esk4_2(X1,X2)),unordered_pair(esk4_2(X1,X2),esk5_2(X1,X2)))=esk3_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_2232, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk338_4(X1,X2,X3,X4),X5),unordered_pair(esk338_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4))),X2)|in(unordered_pair(unordered_pair(esk329_2(X1,X2),X6),unordered_pair(esk329_2(X1,X2),esk329_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk339_4(X1,X2,X3,X4))|~in(X4,esk334_3(X1,X2,X3))|~in(X6,esk330_2(X1,X2)))). 31.61/6.39 cnf(i_0_2178, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk338_4(X1,X2,X3,X4),X5),unordered_pair(esk338_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4))),X2)|in(unordered_pair(unordered_pair(esk332_2(X1,X2),X6),unordered_pair(esk332_2(X1,X2),esk332_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk339_4(X1,X2,X3,X4))|~in(X4,esk334_3(X1,X2,X3))|~in(X6,esk333_2(X1,X2)))). 31.61/6.39 cnf(i_0_35, plain, (unordered_pair(unordered_pair(esk10_4(X1,X2,X3,X4),esk10_4(X1,X2,X3,X4)),unordered_pair(esk10_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk6_2(X1,X2),esk6_2(X1,X2)),unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)))=esk2_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_2196, plain, (unordered_pair(unordered_pair(esk331_2(X1,X2),esk331_2(X1,X2)),unordered_pair(esk331_2(X1,X2),esk332_2(X1,X2)))=esk327_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk338_4(X1,X2,X3,X4),X5),unordered_pair(esk338_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk339_4(X1,X2,X3,X4))|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.39 cnf(i_0_2214, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk326_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk338_4(X1,X2,X3,X4),X5),unordered_pair(esk338_4(X1,X2,X3,X4),esk338_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk339_4(X1,X2,X3,X4))|~in(X4,esk334_3(X1,X2,X3)))). 31.61/6.39 cnf(i_0_1948, plain, (unordered_pair(unordered_pair(esk301_2(X1,X2),esk301_2(X1,X2)),unordered_pair(esk301_2(X1,X2),esk302_2(X1,X2)))=esk297_2(X1,X2)|esk304_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)),esk303_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_1988, plain, (unordered_pair(unordered_pair(esk299_2(X1,X2),esk299_2(X1,X2)),unordered_pair(esk299_2(X1,X2),esk300_2(X1,X2)))=esk298_2(X1,X2)|esk304_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)),esk303_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_40, plain, (esk12_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|unordered_pair(unordered_pair(esk4_2(X1,X2),esk4_2(X1,X2)),unordered_pair(esk4_2(X1,X2),esk5_2(X1,X2)))=esk3_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk8_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_839, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X5),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk122_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_2238, plain, (in(unordered_pair(unordered_pair(esk329_2(X1,X2),X3),unordered_pair(esk329_2(X1,X2),esk329_2(X1,X2))),X2)|in(esk335_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)),esk334_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),cartesian_product2(X1,X4))|~in(X3,esk330_2(X1,X2))|~in(X6,X5))). 31.61/6.39 cnf(i_0_2184, plain, (in(unordered_pair(unordered_pair(esk332_2(X1,X2),X3),unordered_pair(esk332_2(X1,X2),esk332_2(X1,X2))),X2)|in(esk335_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)),esk334_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),cartesian_product2(X1,X4))|~in(X3,esk333_2(X1,X2))|~in(X6,X5))). 31.61/6.39 cnf(i_0_893, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X5),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|in(esk123_2(X1,X2),X1)|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk121_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_1949, plain, (unordered_pair(unordered_pair(esk301_2(X1,X2),esk301_2(X1,X2)),unordered_pair(esk301_2(X1,X2),esk302_2(X1,X2)))=esk297_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk303_3(X1,X2,X5))|element(esk304_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_1989, plain, (unordered_pair(unordered_pair(esk299_2(X1,X2),esk299_2(X1,X2)),unordered_pair(esk299_2(X1,X2),esk300_2(X1,X2)))=esk298_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk303_3(X1,X2,X5))|element(esk304_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_2202, plain, (unordered_pair(unordered_pair(esk331_2(X1,X2),esk331_2(X1,X2)),unordered_pair(esk331_2(X1,X2),esk332_2(X1,X2)))=esk327_2(X1,X2)|in(esk335_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)),esk334_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))). 31.61/6.39 cnf(i_0_2220, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk326_2(X1,X2)|in(esk335_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)),esk334_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))). 31.61/6.39 cnf(i_0_32, plain, (esk12_7(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|unordered_pair(unordered_pair(esk6_2(X1,X2),esk6_2(X1,X2)),unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)))=esk2_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk8_3(X1,X2,X3))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_2318, plain, (unordered_pair(unordered_pair(esk354_4(X1,X2,X3,X4),esk354_4(X1,X2,X3,X4)),unordered_pair(esk354_4(X1,X2,X3,X4),esk355_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk348_3(X1,X2,X3),esk348_3(X1,X2,X3)),unordered_pair(esk348_3(X1,X2,X3),esk349_3(X1,X2,X3)))=esk347_3(X1,X2,X3)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.39 cnf(i_0_2303, plain, (unordered_pair(unordered_pair(esk354_4(X1,X2,X3,X4),esk354_4(X1,X2,X3,X4)),unordered_pair(esk354_4(X1,X2,X3,X4),esk355_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk350_3(X1,X2,X3),esk350_3(X1,X2,X3)),unordered_pair(esk350_3(X1,X2,X3),esk351_3(X1,X2,X3)))=esk346_3(X1,X2,X3)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.39 cnf(i_0_2319, plain, (unordered_pair(unordered_pair(esk348_3(X1,X2,X3),esk348_3(X1,X2,X3)),unordered_pair(esk348_3(X1,X2,X3),esk349_3(X1,X2,X3)))=esk347_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk354_4(X1,X2,X3,X4)),apply(X3,esk354_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk354_4(X1,X2,X3,X4)),apply(X3,esk355_4(X1,X2,X3,X4)))),X2)|~function(X3)|~relation(X2)|~relation(X3)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.39 cnf(i_0_2304, plain, (unordered_pair(unordered_pair(esk350_3(X1,X2,X3),esk350_3(X1,X2,X3)),unordered_pair(esk350_3(X1,X2,X3),esk351_3(X1,X2,X3)))=esk346_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk354_4(X1,X2,X3,X4)),apply(X3,esk354_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk354_4(X1,X2,X3,X4)),apply(X3,esk355_4(X1,X2,X3,X4)))),X2)|~function(X3)|~relation(X2)|~relation(X3)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.39 cnf(i_0_2313, plain, (unordered_pair(unordered_pair(esk354_4(X1,X2,X3,X4),esk354_4(X1,X2,X3,X4)),unordered_pair(esk354_4(X1,X2,X3,X4),esk355_4(X1,X2,X3,X4)))=X4|in(unordered_pair(unordered_pair(apply(X3,esk348_3(X1,X2,X3)),apply(X3,esk348_3(X1,X2,X3))),unordered_pair(apply(X3,esk348_3(X1,X2,X3)),apply(X3,esk349_3(X1,X2,X3)))),X2)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.39 cnf(i_0_2315, plain, (unordered_pair(unordered_pair(esk348_3(X1,X2,X3),esk348_3(X1,X2,X3)),unordered_pair(esk348_3(X1,X2,X3),esk349_3(X1,X2,X3)))=esk347_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk352_3(X1,X2,X3))|~function(X3)|~relation(X2)|~relation(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)))). 31.61/6.39 cnf(i_0_2300, plain, (unordered_pair(unordered_pair(esk350_3(X1,X2,X3),esk350_3(X1,X2,X3)),unordered_pair(esk350_3(X1,X2,X3),esk351_3(X1,X2,X3)))=esk346_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk352_3(X1,X2,X3))|~function(X3)|~relation(X2)|~relation(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)))). 31.61/6.39 cnf(i_0_41, plain, (unordered_pair(unordered_pair(esk4_2(X1,X2),esk4_2(X1,X2)),unordered_pair(esk4_2(X1,X2),esk5_2(X1,X2)))=esk3_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk8_3(X1,X2,X5))|element(esk12_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_2308, plain, (unordered_pair(unordered_pair(esk354_4(X1,X2,X3,X4),esk354_4(X1,X2,X3,X4)),unordered_pair(esk354_4(X1,X2,X3,X4),esk355_4(X1,X2,X3,X4)))=X4|in(unordered_pair(unordered_pair(apply(X3,esk350_3(X1,X2,X3)),apply(X3,esk350_3(X1,X2,X3))),unordered_pair(apply(X3,esk350_3(X1,X2,X3)),apply(X3,esk351_3(X1,X2,X3)))),X2)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk352_3(X1,X2,X3)))). 31.61/6.39 cnf(i_0_827, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X5),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,esk124_4(X1,X2,X6,esk123_2(X1,X2)))),X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk122_2(X1,X2))|~in(X6,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_881, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X5),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,esk124_4(X1,X2,X6,esk123_2(X1,X2)))),X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk121_2(X1,X2))|~in(X6,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_833, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk119_2(X1,X2),X5),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X2)|in(esk124_4(X1,X2,X6,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk122_2(X1,X2))|~in(X6,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_887, lemma, (in(unordered_pair(unordered_pair(apply(esk125_2(X1,X2),X3),X4),unordered_pair(apply(esk125_2(X1,X2),X3),apply(esk125_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk120_2(X1,X2),X5),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X2)|in(esk124_4(X1,X2,X6,esk123_2(X1,X2)),esk123_2(X1,X2))|~relation(X2)|~in(X4,esk126_3(X1,X2,X3))|~in(X5,esk121_2(X1,X2))|~in(X6,esk123_2(X1,X2))|~in(X3,X1))). 31.61/6.39 cnf(i_0_33, plain, (unordered_pair(unordered_pair(esk6_2(X1,X2),esk6_2(X1,X2)),unordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)))=esk2_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk8_3(X1,X2,X5))|element(esk12_7(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5))|~element(X2,powerset(powerset(the_carrier(X1)))))). 31.61/6.39 cnf(i_0_591, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk80_3(X1,X2,X3)),apply(X3,esk80_3(X1,X2,X3))),unordered_pair(apply(X3,esk80_3(X1,X2,X3)),apply(X3,esk81_3(X1,X2,X3)))),X2)|in(unordered_pair(unordered_pair(esk80_3(X1,X2,X3),esk80_3(X1,X2,X3)),unordered_pair(esk80_3(X1,X2,X3),esk81_3(X1,X2,X3))),X1)|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~function(X3)|~relation(X2)|~relation(X1)|~relation(X3))). 31.61/6.39 cnf(i_0_2310, plain, (in(unordered_pair(unordered_pair(apply(X1,esk348_3(X2,X3,X1)),apply(X1,esk348_3(X2,X3,X1))),unordered_pair(apply(X1,esk348_3(X2,X3,X1)),apply(X1,esk349_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk352_3(X2,X3,X1))|~function(X1)|~relation(X3)|~relation(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)))). 31.61/6.39 cnf(i_0_2314, plain, (in(unordered_pair(unordered_pair(apply(X1,esk354_4(X2,X3,X1,X4)),apply(X1,esk354_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk354_4(X2,X3,X1,X4)),apply(X1,esk355_4(X2,X3,X1,X4)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk348_3(X2,X3,X1)),apply(X1,esk348_3(X2,X3,X1))),unordered_pair(apply(X1,esk348_3(X2,X3,X1)),apply(X1,esk349_3(X2,X3,X1)))),X3)|~function(X1)|~relation(X3)|~relation(X1)|~in(X4,esk352_3(X2,X3,X1)))). 31.61/6.39 cnf(i_0_2309, plain, (in(unordered_pair(unordered_pair(apply(X1,esk354_4(X2,X3,X1,X4)),apply(X1,esk354_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk354_4(X2,X3,X1,X4)),apply(X1,esk355_4(X2,X3,X1,X4)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk350_3(X2,X3,X1)),apply(X1,esk350_3(X2,X3,X1))),unordered_pair(apply(X1,esk350_3(X2,X3,X1)),apply(X1,esk351_3(X2,X3,X1)))),X3)|~function(X1)|~relation(X3)|~relation(X1)|~in(X4,esk352_3(X2,X3,X1)))). 31.61/6.39 cnf(i_0_2305, plain, (in(unordered_pair(unordered_pair(apply(X1,esk350_3(X2,X3,X1)),apply(X1,esk350_3(X2,X3,X1))),unordered_pair(apply(X1,esk350_3(X2,X3,X1)),apply(X1,esk351_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk352_3(X2,X3,X1))|~function(X1)|~relation(X3)|~relation(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)))). 31.61/6.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 31.61/6.39 # Begin printing tableau 31.61/6.39 # Found 4 steps 31.61/6.39 cnf(i_0_503, negated_conjecture, (latt_str(esk71_0)), inference(start_rule)). 31.61/6.39 cnf(i_0_4953, plain, (latt_str(esk71_0)), inference(extension_rule, [i_0_1170])). 31.61/6.39 cnf(i_0_97813, plain, (meet_semilatt_str(esk71_0)), inference(extension_rule, [i_0_2349])). 31.61/6.39 cnf(i_0_97815, plain, (one_sorted_str(esk71_0)), inference(etableau_closure_rule, [i_0_97815, ...])). 31.61/6.39 # End printing tableau 31.61/6.39 # SZS output end 31.61/6.39 # Branches closed with saturation will be marked with an "s" 31.61/6.39 # Child (26230) has found a proof. 31.61/6.39 31.61/6.40 # Proof search is over... 31.61/6.40 # Freeing feature tree 31.61/6.43 EOF