TSTP Solution File: SEU337+2 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU337+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 09:25:59 EDT 2022
% Result : Theorem 8.22s 2.38s
% Output : CNFRefutation 8.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU337+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 04:33:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.26/1.44 # No SInE strategy applied
% 1.26/1.44 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S2g
% 1.26/1.44 # and selection function SelectCQArNpEqFirst.
% 1.26/1.44 #
% 1.26/1.44 # Presaturation interreduction done
% 1.26/1.44 # Number of axioms: 2475 Number of unprocessed: 2299
% 1.26/1.44 # Tableaux proof search.
% 1.26/1.44 # APR header successfully linked.
% 1.26/1.44 # Hello from C++
% 1.29/1.47 # The folding up rule is enabled...
% 1.29/1.47 # Local unification is enabled...
% 1.29/1.47 # Any saturation attempts will use folding labels...
% 1.29/1.47 # 2299 beginning clauses after preprocessing and clausification
% 1.29/1.47 # Creating start rules for all 4 conjectures.
% 1.29/1.47 # There are 4 start rule candidates:
% 1.29/1.47 # Found 159 unit axioms.
% 1.29/1.47 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 1.29/1.47 # 4 start rule tableaux created.
% 1.29/1.47 # 2140 extension rule candidate clauses
% 1.29/1.47 # 159 unit axiom clauses
% 1.29/1.47
% 1.29/1.47 # Requested 8, 32 cores available to the main process.
% 1.29/1.47 # There are not enough tableaux to fork, creating more from the initial 4
% 1.29/1.47 # Returning from population with 12 new_tableaux and 0 remaining starting tableaux.
% 1.29/1.47 # We now have 12 tableaux to operate on
% 8.22/2.38 # There were 1 total branch saturation attempts.
% 8.22/2.38 # There were 0 of these attempts blocked.
% 8.22/2.38 # There were 0 deferred branch saturation attempts.
% 8.22/2.38 # There were 0 free duplicated saturations.
% 8.22/2.38 # There were 1 total successful branch saturations.
% 8.22/2.38 # There were 0 successful branch saturations in interreduction.
% 8.22/2.38 # There were 0 successful branch saturations on the branch.
% 8.22/2.38 # There were 1 successful branch saturations after the branch.
% 8.22/2.38 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.22/2.38 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.22/2.38 # Begin clausification derivation
% 8.22/2.38
% 8.22/2.38 # End clausification derivation
% 8.22/2.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 8.22/2.38 cnf(i_0_2194, negated_conjecture, (top_str(esk383_0))).
% 8.22/2.38 cnf(i_0_2193, negated_conjecture, (element(esk384_0,powerset(powerset(the_carrier(esk383_0)))))).
% 8.22/2.38 cnf(i_0_507, plain, (top_str(esk103_0))).
% 8.22/2.38 cnf(i_0_2383, lemma, (relation_dom(empty_set)=empty_set)).
% 8.22/2.38 cnf(i_0_643, plain, (v1_membered(empty_set))).
% 8.22/2.38 cnf(i_0_722, plain, (v1_membered(esk124_0))).
% 8.22/2.38 cnf(i_0_2382, lemma, (relation_rng(empty_set)=empty_set)).
% 8.22/2.38 cnf(i_0_642, plain, (v2_membered(empty_set))).
% 8.22/2.38 cnf(i_0_721, plain, (v2_membered(esk124_0))).
% 8.22/2.38 cnf(i_0_641, plain, (v3_membered(empty_set))).
% 8.22/2.38 cnf(i_0_720, plain, (v3_membered(esk124_0))).
% 8.22/2.38 cnf(i_0_640, plain, (v4_membered(empty_set))).
% 8.22/2.38 cnf(i_0_719, plain, (v4_membered(esk124_0))).
% 8.22/2.38 cnf(i_0_639, plain, (v5_membered(empty_set))).
% 8.22/2.38 cnf(i_0_718, plain, (v5_membered(esk124_0))).
% 8.22/2.38 cnf(i_0_705, plain, (natural(esk120_0))).
% 8.22/2.38 cnf(i_0_523, plain, (empty(empty_set))).
% 8.22/2.38 cnf(i_0_731, plain, (empty(esk127_0))).
% 8.22/2.38 cnf(i_0_736, plain, (empty(esk128_0))).
% 8.22/2.38 cnf(i_0_741, plain, (empty(esk131_0))).
% 8.22/2.38 cnf(i_0_753, plain, (empty(esk133_0))).
% 8.22/2.38 cnf(i_0_758, plain, (empty(esk134_0))).
% 8.22/2.38 cnf(i_0_537, plain, (ordinal(omega))).
% 8.22/2.38 cnf(i_0_562, plain, (ordinal(empty_set))).
% 8.22/2.38 cnf(i_0_706, plain, (ordinal(esk120_0))).
% 8.22/2.38 cnf(i_0_724, plain, (ordinal(esk125_0))).
% 8.22/2.38 cnf(i_0_728, plain, (ordinal(esk126_0))).
% 8.22/2.38 cnf(i_0_755, plain, (ordinal(esk134_0))).
% 8.22/2.38 cnf(i_0_779, plain, (ordinal(esk142_0))).
% 8.22/2.38 cnf(i_0_539, plain, (epsilon_transitive(omega))).
% 8.22/2.38 cnf(i_0_564, plain, (epsilon_transitive(empty_set))).
% 8.22/2.38 cnf(i_0_708, plain, (epsilon_transitive(esk120_0))).
% 8.22/2.38 cnf(i_0_726, plain, (epsilon_transitive(esk125_0))).
% 8.22/2.38 cnf(i_0_730, plain, (epsilon_transitive(esk126_0))).
% 8.22/2.38 cnf(i_0_757, plain, (epsilon_transitive(esk134_0))).
% 8.22/2.38 cnf(i_0_781, plain, (epsilon_transitive(esk142_0))).
% 8.22/2.38 cnf(i_0_538, plain, (epsilon_connected(omega))).
% 8.22/2.38 cnf(i_0_563, plain, (epsilon_connected(empty_set))).
% 8.22/2.38 cnf(i_0_707, plain, (epsilon_connected(esk120_0))).
% 8.22/2.38 cnf(i_0_725, plain, (epsilon_connected(esk125_0))).
% 8.22/2.38 cnf(i_0_729, plain, (epsilon_connected(esk126_0))).
% 8.22/2.38 cnf(i_0_756, plain, (epsilon_connected(esk134_0))).
% 8.22/2.38 cnf(i_0_780, plain, (epsilon_connected(esk142_0))).
% 8.22/2.38 cnf(i_0_710, plain, (finite(esk121_0))).
% 8.22/2.38 cnf(i_0_567, plain, (function(empty_set))).
% 8.22/2.38 cnf(i_0_712, plain, (function(esk122_0))).
% 8.22/2.38 cnf(i_0_733, plain, (function(esk127_0))).
% 8.22/2.38 cnf(i_0_752, plain, (function(esk133_0))).
% 8.22/2.38 cnf(i_0_760, plain, (function(esk134_0))).
% 8.22/2.38 cnf(i_0_777, plain, (function(esk141_0))).
% 8.22/2.38 cnf(i_0_787, plain, (function(esk145_0))).
% 8.22/2.38 cnf(i_0_522, plain, (relation(empty_set))).
% 8.22/2.38 cnf(i_0_713, plain, (relation(esk122_0))).
% 8.22/2.38 cnf(i_0_734, plain, (relation(esk127_0))).
% 8.22/2.38 cnf(i_0_735, plain, (relation(esk128_0))).
% 8.22/2.38 cnf(i_0_754, plain, (relation(esk133_0))).
% 8.22/2.38 cnf(i_0_761, plain, (relation(esk134_0))).
% 8.22/2.38 cnf(i_0_765, plain, (relation(esk136_0))).
% 8.22/2.38 cnf(i_0_778, plain, (relation(esk141_0))).
% 8.22/2.38 cnf(i_0_784, plain, (relation(esk143_0))).
% 8.22/2.38 cnf(i_0_789, plain, (relation(esk145_0))).
% 8.22/2.38 cnf(i_0_566, plain, (one_to_one(empty_set))).
% 8.22/2.38 cnf(i_0_732, plain, (one_to_one(esk127_0))).
% 8.22/2.38 cnf(i_0_759, plain, (one_to_one(esk134_0))).
% 8.22/2.38 cnf(i_0_776, plain, (one_to_one(esk141_0))).
% 8.22/2.38 cnf(i_0_509, plain, (join_semilatt_str(esk105_0))).
% 8.22/2.38 cnf(i_0_506, plain, (meet_semilatt_str(esk102_0))).
% 8.22/2.38 cnf(i_0_508, plain, (one_sorted_str(esk104_0))).
% 8.22/2.38 cnf(i_0_786, plain, (one_sorted_str(esk144_0))).
% 8.22/2.38 cnf(i_0_727, plain, (being_limit_ordinal(esk126_0))).
% 8.22/2.38 cnf(i_0_510, plain, (latt_str(esk106_0))).
% 8.22/2.38 cnf(i_0_521, plain, (relation_empty_yielding(empty_set))).
% 8.22/2.38 cnf(i_0_783, plain, (relation_empty_yielding(esk143_0))).
% 8.22/2.38 cnf(i_0_788, plain, (relation_empty_yielding(esk145_0))).
% 8.22/2.38 cnf(i_0_529, plain, (preboolean(powerset(X1)))).
% 8.22/2.38 cnf(i_0_531, plain, (cup_closed(powerset(X1)))).
% 8.22/2.38 cnf(i_0_530, plain, (diff_closed(powerset(X1)))).
% 8.22/2.38 cnf(i_0_461, plain, (element(X1,powerset(X1)))).
% 8.22/2.38 cnf(i_0_2434, lemma, (union(powerset(X1))=X1)).
% 8.22/2.38 cnf(i_0_743, plain, (natural(esk132_1(X1)))).
% 8.22/2.38 cnf(i_0_358, plain, (being_limit_ordinal(omega))).
% 8.22/2.38 cnf(i_0_195, plain, (set_meet(empty_set)=empty_set)).
% 8.22/2.38 cnf(i_0_750, plain, (empty(esk132_1(X1)))).
% 8.22/2.38 cnf(i_0_767, plain, (empty(esk137_1(X1)))).
% 8.22/2.38 cnf(i_0_744, plain, (ordinal(esk132_1(X1)))).
% 8.22/2.38 cnf(i_0_746, plain, (epsilon_transitive(esk132_1(X1)))).
% 8.22/2.38 cnf(i_0_745, plain, (epsilon_connected(esk132_1(X1)))).
% 8.22/2.38 cnf(i_0_742, plain, (finite(esk132_1(X1)))).
% 8.22/2.38 cnf(i_0_810, plain, (subset(X1,X1))).
% 8.22/2.38 cnf(i_0_811, plain, (equipotent(X1,X1))).
% 8.22/2.38 cnf(i_0_560, plain, (function(identity_relation(X1)))).
% 8.22/2.38 cnf(i_0_748, plain, (function(esk132_1(X1)))).
% 8.22/2.38 cnf(i_0_2118, lemma, (function(esk376_1(X1)))).
% 8.22/2.38 cnf(i_0_482, plain, (relation(identity_relation(X1)))).
% 8.22/2.38 cnf(i_0_451, plain, (relation(inclusion_relation(X1)))).
% 8.22/2.38 cnf(i_0_749, plain, (relation(esk132_1(X1)))).
% 8.22/2.38 cnf(i_0_2119, lemma, (relation(esk376_1(X1)))).
% 8.22/2.38 cnf(i_0_2241, lemma, (relation(esk390_1(X1)))).
% 8.22/2.38 cnf(i_0_747, plain, (one_to_one(esk132_1(X1)))).
% 8.22/2.38 cnf(i_0_2381, lemma, (antisymmetric(inclusion_relation(X1)))).
% 8.22/2.38 cnf(i_0_2300, lemma, (transitive(inclusion_relation(X1)))).
% 8.22/2.38 cnf(i_0_2258, lemma, (reflexive(inclusion_relation(X1)))).
% 8.22/2.38 cnf(i_0_2259, lemma, (subset(empty_set,X1))).
% 8.22/2.38 cnf(i_0_512, plain, (element(esk108_1(X1),X1))).
% 8.22/2.38 cnf(i_0_2404, lemma, (relation_dom(identity_relation(X1))=X1)).
% 8.22/2.38 cnf(i_0_2117, lemma, (relation_dom(esk376_1(X1))=X1)).
% 8.22/2.38 cnf(i_0_2403, lemma, (relation_rng(identity_relation(X1))=X1)).
% 8.22/2.38 cnf(i_0_751, plain, (element(esk132_1(X1),powerset(X1)))).
% 8.22/2.38 cnf(i_0_768, plain, (element(esk137_1(X1),powerset(X1)))).
% 8.22/2.38 cnf(i_0_2344, plain, (set_difference(empty_set,X1)=empty_set)).
% 8.22/2.38 cnf(i_0_2203, plain, (set_union2(X1,empty_set)=X1)).
% 8.22/2.38 cnf(i_0_2296, plain, (set_difference(X1,empty_set)=X1)).
% 8.22/2.38 cnf(i_0_654, plain, (set_union2(X1,X1)=X1)).
% 8.22/2.38 cnf(i_0_2206, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))).
% 8.22/2.38 cnf(i_0_2157, lemma, (in(X1,esk380_1(X1)))).
% 8.22/2.38 cnf(i_0_2445, plain, (in(X1,esk412_1(X1)))).
% 8.22/2.38 cnf(i_0_359, plain, (in(empty_set,omega))).
% 8.22/2.38 cnf(i_0_2240, lemma, (well_orders(esk390_1(X1),X1))).
% 8.22/2.38 cnf(i_0_527, plain, (finite(unordered_pair(X1,X1)))).
% 8.22/2.38 cnf(i_0_715, plain, (function(esk123_2(X1,X2)))).
% 8.22/2.38 cnf(i_0_762, plain, (function(esk135_2(X1,X2)))).
% 8.22/2.38 cnf(i_0_716, plain, (relation(esk123_2(X1,X2)))).
% 8.22/2.38 cnf(i_0_763, plain, (relation(esk135_2(X1,X2)))).
% 8.22/2.38 cnf(i_0_2415, lemma, (subset(X1,set_union2(X1,X2)))).
% 8.22/2.38 cnf(i_0_2281, lemma, (subset(set_difference(X1,X2),X1))).
% 8.22/2.38 cnf(i_0_2254, plain, (set_difference(X1,X1)=empty_set)).
% 8.22/2.38 cnf(i_0_226, plain, (relation_field(inclusion_relation(X1))=X1)).
% 8.22/2.38 cnf(i_0_513, plain, (relation_of2_as_subset(esk109_2(X1,X2),X1,X2))).
% 8.22/2.38 cnf(i_0_714, plain, (quasi_total(esk123_2(X1,X2),X1,X2))).
% 8.22/2.38 cnf(i_0_511, plain, (relation_of2(esk107_2(X1,X2),X1,X2))).
% 8.22/2.38 cnf(i_0_717, plain, (relation_of2(esk123_2(X1,X2),X1,X2))).
% 8.22/2.38 cnf(i_0_764, plain, (relation_of2(esk135_2(X1,X2),X1,X2))).
% 8.22/2.38 cnf(i_0_2292, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))).
% 8.22/2.38 cnf(i_0_2305, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))).
% 8.22/2.38 cnf(i_0_2134, lemma, (in(X1,set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.38 cnf(i_0_252, plain, (in(X1,unordered_pair(X2,X1)))).
% 8.22/2.38 cnf(i_0_253, plain, (in(X1,unordered_pair(X1,X2)))).
% 8.22/2.38 cnf(i_0_145, plain, (in(X1,unordered_triple(X2,X3,X1)))).
% 8.22/2.38 cnf(i_0_146, plain, (in(X1,unordered_triple(X2,X1,X3)))).
% 8.22/2.38 cnf(i_0_147, plain, (in(X1,unordered_triple(X1,X2,X3)))).
% 8.22/2.38 cnf(i_0_2411, lemma, (pair_first(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X1)).
% 8.22/2.38 cnf(i_0_2410, lemma, (pair_second(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X2)).
% 8.22/2.38 cnf(i_0_70, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 8.22/2.38 cnf(i_0_71, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 8.22/2.38 cnf(i_0_73, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))).
% 8.22/2.38 cnf(i_0_536, plain, (~empty(omega))).
% 8.22/2.38 cnf(i_0_709, plain, (~empty(esk120_0))).
% 8.22/2.38 cnf(i_0_711, plain, (~empty(esk121_0))).
% 8.22/2.38 cnf(i_0_723, plain, (~empty(esk124_0))).
% 8.22/2.38 cnf(i_0_766, plain, (~empty(esk136_0))).
% 8.22/2.38 cnf(i_0_772, plain, (~empty(esk139_0))).
% 8.22/2.38 cnf(i_0_782, plain, (~empty(esk142_0))).
% 8.22/2.38 cnf(i_0_785, plain, (~empty_carrier(esk144_0))).
% 8.22/2.38 cnf(i_0_660, plain, (~proper_subset(X1,X1))).
% 8.22/2.38 cnf(i_0_532, plain, (~empty(powerset(X1)))).
% 8.22/2.38 cnf(i_0_664, lemma, (unordered_pair(X1,X1)!=empty_set)).
% 8.22/2.38 cnf(i_0_614, plain, (~empty(unordered_pair(X1,X2)))).
% 8.22/2.38 cnf(i_0_228, plain, (~in(X1,empty_set))).
% 8.22/2.38 cnf(i_0_535, plain, (~empty(set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.38 cnf(i_0_2192, negated_conjecture, (~closed_subsets(complements_of_subsets(the_carrier(esk383_0),esk384_0),esk383_0)|~open_subsets(esk384_0,esk383_0))).
% 8.22/2.38 cnf(i_0_2191, negated_conjecture, (closed_subsets(complements_of_subsets(the_carrier(esk383_0),esk384_0),esk383_0)|open_subsets(esk384_0,esk383_0))).
% 8.22/2.38 cnf(i_0_40, plain, (v4_membered(X1)|~v5_membered(X1))).
% 8.22/2.38 cnf(i_0_43, plain, (relation(X1)|~empty(X1))).
% 8.22/2.38 cnf(i_0_493, plain, (join_semilatt_str(X1)|~latt_str(X1))).
% 8.22/2.38 cnf(i_0_494, plain, (meet_semilatt_str(X1)|~latt_str(X1))).
% 8.22/2.38 cnf(i_0_492, plain, (one_sorted_str(X1)|~join_semilatt_str(X1))).
% 8.22/2.38 cnf(i_0_489, plain, (one_sorted_str(X1)|~meet_semilatt_str(X1))).
% 8.22/2.38 cnf(i_0_490, plain, (one_sorted_str(X1)|~top_str(X1))).
% 8.22/2.38 cnf(i_0_2384, lemma, (~subset(X1,X2)|~proper_subset(X2,X1))).
% 8.22/2.38 cnf(i_0_2477, plain, (epred1_0|esk414_0!=empty_set|esk418_0!=empty_set)).
% 8.22/2.38 cnf(i_0_2482, plain, (epred1_0|ordinal(esk416_0)|esk414_0!=empty_set)).
% 8.22/2.38 cnf(i_0_2409, plain, (~empty(X1)|~in(X2,X1))).
% 8.22/2.38 cnf(i_0_69, plain, (v1_membered(X1)|~v2_membered(X1))).
% 8.22/2.38 cnf(i_0_22, plain, (v1_membered(X1)|~empty(X1))).
% 8.22/2.38 cnf(i_0_65, plain, (v2_membered(X1)|~v3_membered(X1))).
% 8.22/2.38 cnf(i_0_2398, plain, (X1=empty_set|~empty(X1))).
% 8.22/2.38 cnf(i_0_21, plain, (v2_membered(X1)|~empty(X1))).
% 8.22/2.38 cnf(i_0_59, plain, (v3_membered(X1)|~v4_membered(X1))).
% 8.22/2.38 cnf(i_0_20, plain, (v3_membered(X1)|~empty(X1))).
% 8.22/2.38 cnf(i_0_19, plain, (v4_membered(X1)|~empty(X1))).
% 8.22/2.38 cnf(i_0_18, plain, (v5_membered(X1)|~empty(X1))).
% 8.22/2.38 cnf(i_0_66, plain, (ordinal(X1)|~empty(X1))).
% 8.22/2.38 cnf(i_0_68, plain, (epsilon_transitive(X1)|~empty(X1))).
% 8.22/2.38 cnf(i_0_42, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 8.22/2.38 cnf(i_0_67, plain, (epsilon_connected(X1)|~empty(X1))).
% 8.22/2.38 cnf(i_0_41, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 8.22/2.38 cnf(i_0_36, plain, (finite(X1)|~empty(X1))).
% 8.22/2.38 cnf(i_0_38, plain, (cup_closed(X1)|~preboolean(X1))).
% 8.22/2.38 cnf(i_0_37, plain, (diff_closed(X1)|~preboolean(X1))).
% 8.22/2.38 cnf(i_0_39, plain, (function(X1)|~empty(X1))).
% 8.22/2.38 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 8.22/2.38 cnf(i_0_2, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))).
% 8.22/2.38 cnf(i_0_61, plain, (natural(X1)|~element(X1,omega))).
% 8.22/2.38 cnf(i_0_62, plain, (ordinal(X1)|~element(X1,omega))).
% 8.22/2.38 cnf(i_0_64, plain, (epsilon_transitive(X1)|~element(X1,omega))).
% 8.22/2.38 cnf(i_0_63, plain, (epsilon_connected(X1)|~element(X1,omega))).
% 8.22/2.38 cnf(i_0_374, plain, (being_limit_ordinal(X1)|union(X1)!=X1)).
% 8.22/2.38 cnf(i_0_737, plain, (empty(X1)|~empty(esk129_1(X1)))).
% 8.22/2.38 cnf(i_0_774, plain, (empty(X1)|~empty(esk140_1(X1)))).
% 8.22/2.38 cnf(i_0_60, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 8.22/2.38 cnf(i_0_55, plain, (preboolean(X1)|~diff_closed(X1)|~cup_closed(X1))).
% 8.22/2.38 cnf(i_0_281, plain, (epsilon_connected(X1)|esk60_1(X1)!=esk59_1(X1))).
% 8.22/2.38 cnf(i_0_154, plain, (function(X1)|esk24_1(X1)!=esk23_1(X1))).
% 8.22/2.38 cnf(i_0_434, plain, (subset(X1,X2)|~proper_subset(X1,X2))).
% 8.22/2.38 cnf(i_0_807, plain, (equipotent(X1,X2)|~are_equipotent(X1,X2))).
% 8.22/2.38 cnf(i_0_2510, plain, (X1=X2|~epred2_3(X3,X2,X1))).
% 8.22/2.38 cnf(i_0_2304, lemma, (X1=empty_set|~subset(X1,empty_set))).
% 8.22/2.38 cnf(i_0_2204, plain, (element(X1,X2)|~in(X1,X2))).
% 8.22/2.38 cnf(i_0_240, plain, (empty_carrier_subset(X1)=empty_set|~one_sorted_str(X1))).
% 8.22/2.38 cnf(i_0_2505, plain, (X1=X2|~epred2_3(X2,X3,X1))).
% 8.22/2.38 cnf(i_0_50, plain, (natural(X1)|~empty(X1))).
% 8.22/2.38 cnf(i_0_2298, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 8.22/2.38 cnf(i_0_375, plain, (union(X1)=X1|~being_limit_ordinal(X1))).
% 8.22/2.38 cnf(i_0_286, plain, (cast_as_carrier_subset(X1)=the_carrier(X1)|~one_sorted_str(X1))).
% 8.22/2.38 cnf(i_0_331, plain, (antisymmetric(X1)|~well_ordering(X1)|~relation(X1))).
% 8.22/2.38 cnf(i_0_330, plain, (connected(X1)|~well_ordering(X1)|~relation(X1))).
% 8.22/2.38 cnf(i_0_332, plain, (transitive(X1)|~well_ordering(X1)|~relation(X1))).
% 8.22/2.38 cnf(i_0_329, plain, (well_founded_relation(X1)|~well_ordering(X1)|~relation(X1))).
% 8.22/2.38 cnf(i_0_204, plain, (empty(the_carrier(X1))|~one_sorted_str(X1)|~empty_carrier(X1))).
% 8.22/2.38 cnf(i_0_2486, plain, (epred1_0|element(esk414_0,powerset(powerset(empty_set)))|esk418_0!=empty_set)).
% 8.22/2.39 cnf(i_0_333, plain, (reflexive(X1)|~well_ordering(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1784, lemma, (ordinal(X1)|~in(X1,esk341_1(X2)))).
% 8.22/2.39 cnf(i_0_237, plain, (epsilon_transitive(X1)|~subset(esk46_1(X1),X1))).
% 8.22/2.39 cnf(i_0_616, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 8.22/2.39 cnf(i_0_574, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 8.22/2.39 cnf(i_0_203, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_773, plain, (finite(esk140_1(X1))|empty(X1))).
% 8.22/2.39 cnf(i_0_666, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2512, plain, (antisymmetric(X1)|~epred3_2(X1,X2)|~antisymmetric(X2))).
% 8.22/2.39 cnf(i_0_2513, plain, (connected(X1)|~epred3_2(X1,X2)|~connected(X2))).
% 8.22/2.39 cnf(i_0_2514, plain, (transitive(X1)|~epred3_2(X1,X2)|~transitive(X2))).
% 8.22/2.39 cnf(i_0_544, plain, (v1_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_543, plain, (v2_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_2511, plain, (well_founded_relation(X1)|~epred3_2(X1,X2)|~well_founded_relation(X2))).
% 8.22/2.39 cnf(i_0_2515, plain, (reflexive(X1)|~epred3_2(X1,X2)|~reflexive(X2))).
% 8.22/2.39 cnf(i_0_260, plain, (well_founded_relation(X1)|esk52_1(X1)!=empty_set|~relation(X1))).
% 8.22/2.39 cnf(i_0_638, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 8.22/2.39 cnf(i_0_542, plain, (v3_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_541, plain, (v4_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_540, plain, (v5_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_648, plain, (empty(relation_dom(X1))|~empty(X1))).
% 8.22/2.39 cnf(i_0_2388, lemma, (X1=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 8.22/2.39 cnf(i_0_645, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 8.22/2.39 cnf(i_0_570, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(cast_as_carrier_subset(X1)))).
% 8.22/2.39 cnf(i_0_790, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(esk146_1(X1)))).
% 8.22/2.39 cnf(i_0_650, plain, (empty(relation_rng(X1))|~empty(X1))).
% 8.22/2.39 cnf(i_0_545, plain, (empty(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_519, plain, (empty(relation_inverse(X1))|~empty(X1))).
% 8.22/2.39 cnf(i_0_628, plain, (ordinal(union(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2387, lemma, (X1=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 8.22/2.39 cnf(i_0_630, plain, (epsilon_transitive(union(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_808, plain, (are_equipotent(X1,X2)|~equipotent(X1,X2))).
% 8.22/2.39 cnf(i_0_680, lemma, (antisymmetric(X1)|esk116_1(X1)!=esk115_1(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_689, lemma, (connected(X1)|esk118_1(X1)!=esk117_1(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2392, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_629, plain, (epsilon_connected(union(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_505, plain, (function(the_L_join(X1))|~join_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_500, plain, (function(the_L_meet(X1))|~meet_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_152, plain, (function(esk21_1(X1))|~finite(X1))).
% 8.22/2.39 cnf(i_0_647, plain, (relation(relation_dom(X1))|~empty(X1))).
% 8.22/2.39 cnf(i_0_2422, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 8.22/2.39 cnf(i_0_649, plain, (relation(relation_rng(X1))|~empty(X1))).
% 8.22/2.39 cnf(i_0_518, plain, (relation(relation_inverse(X1))|~empty(X1))).
% 8.22/2.39 cnf(i_0_472, plain, (relation(relation_inverse(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_153, plain, (relation(esk21_1(X1))|~finite(X1))).
% 8.22/2.39 cnf(i_0_2346, lemma, (connected(inclusion_relation(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2400, lemma, (well_founded_relation(inclusion_relation(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2414, lemma, (well_ordering(inclusion_relation(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_501, plain, (element(the_topology(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1))).
% 8.22/2.39 cnf(i_0_2299, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_44, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 8.22/2.39 cnf(i_0_151, plain, (relation_rng(esk21_1(X1))=X1|~finite(X1))).
% 8.22/2.39 cnf(i_0_658, plain, (relation_inverse(relation_inverse(X1))=X1|~relation(X1))).
% 8.22/2.39 cnf(i_0_678, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)).
% 8.22/2.39 cnf(i_0_1785, lemma, (in(X1,X2)|~in(X1,esk341_1(X2)))).
% 8.22/2.39 cnf(i_0_887, lemma, (function(esk159_1(X1))|esk158_1(X1)!=esk157_1(X1))).
% 8.22/2.39 cnf(i_0_2136, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2))))).
% 8.22/2.39 cnf(i_0_888, lemma, (relation(esk159_1(X1))|esk158_1(X1)!=esk157_1(X1))).
% 8.22/2.39 cnf(i_0_445, plain, (element(empty_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_2389, lemma, (relation_dom(X1)=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 8.22/2.39 cnf(i_0_2417, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))).
% 8.22/2.39 cnf(i_0_282, plain, (epsilon_connected(X1)|~in(esk59_1(X1),esk60_1(X1)))).
% 8.22/2.39 cnf(i_0_280, plain, (epsilon_connected(X1)|~in(esk60_1(X1),esk59_1(X1)))).
% 8.22/2.39 cnf(i_0_56, plain, (one_to_one(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_227, plain, (X1=empty_set|in(esk42_1(X1),X1))).
% 8.22/2.39 cnf(i_0_459, plain, (element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_2491, plain, (epred1_0|ordinal(esk416_0)|element(esk414_0,powerset(powerset(empty_set))))).
% 8.22/2.39 cnf(i_0_486, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_2474, plain, (epred1_0|esk414_0!=empty_set|esk419_1(X1)!=X1|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2390, lemma, (relation_rng(X1)=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 8.22/2.39 cnf(i_0_106, plain, (antisymmetric(X1)|~is_antisymmetric_in(X1,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_137, plain, (connected(X1)|~is_connected_in(X1,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_139, plain, (transitive(X1)|~is_transitive_in(X1,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2379, lemma, (well_founded_relation(X1)|~is_well_founded_in(X1,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2450, plain, (epred1_0|esk418_0!=empty_set|esk415_1(X1)!=X1|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_738, plain, (empty(X1)|element(esk129_1(X1),powerset(X1)))).
% 8.22/2.39 cnf(i_0_775, plain, (empty(X1)|element(esk140_1(X1),powerset(X1)))).
% 8.22/2.39 cnf(i_0_2416, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)).
% 8.22/2.39 cnf(i_0_2245, lemma, (esk391_1(X1)=empty_set|function(esk392_1(X1))|empty(X1))).
% 8.22/2.39 cnf(i_0_2282, lemma, (relation_rng(relation_inverse(X1))=relation_dom(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2427, lemma, (well_ordering(X1)|~well_orders(X1,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_436, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_1635, plain, (ordinal(X1)|esk296_0!=esk295_0|~in(X1,esk297_1(X2)))).
% 8.22/2.39 cnf(i_0_2283, lemma, (relation_dom(relation_inverse(X1))=relation_rng(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2135, lemma, (complements_of_subsets(X1,empty_set)=empty_set|~element(empty_set,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_740, plain, (element(esk130_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_771, plain, (element(esk138_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_2246, lemma, (esk391_1(X1)=empty_set|relation(esk392_1(X1))|empty(X1))).
% 8.22/2.39 cnf(i_0_2265, lemma, (ordinal(X1)|in(esk394_1(X1),X1))).
% 8.22/2.39 cnf(i_0_2129, plain, (disjoint(X1,X2)|~disjoint(X2,X1))).
% 8.22/2.39 cnf(i_0_2130, plain, (equipotent(X1,X2)|~equipotent(X2,X1))).
% 8.22/2.39 cnf(i_0_2297, lemma, (~in(X1,X2)|~in(X3,X1)|~in(X2,X3))).
% 8.22/2.39 cnf(i_0_2301, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_238, plain, (epsilon_transitive(X1)|in(esk46_1(X1),X1))).
% 8.22/2.39 cnf(i_0_793, plain, (element(esk147_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_3, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v1_membered(X2))).
% 8.22/2.39 cnf(i_0_5, plain, (v1_xcmplx_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_8, plain, (v1_xcmplx_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_2244, lemma, (relation_dom(esk392_1(X1))=X1|esk391_1(X1)=empty_set|empty(X1))).
% 8.22/2.39 cnf(i_0_284, plain, (epsilon_connected(X1)|in(esk59_1(X1),X1))).
% 8.22/2.39 cnf(i_0_803, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 8.22/2.39 cnf(i_0_83, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_2289, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))).
% 8.22/2.39 cnf(i_0_2290, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))).
% 8.22/2.39 cnf(i_0_283, plain, (epsilon_connected(X1)|in(esk60_1(X1),X1))).
% 8.22/2.39 cnf(i_0_12, plain, (v1_xcmplx_0(X1)|~v4_# There were 1 total branch saturation attempts.
% 8.22/2.39 # There were 0 of these attempts blocked.
% 8.22/2.39 # There were 0 deferred branch saturation attempts.
% 8.22/2.39 # There were 0 free duplicated saturations.
% 8.22/2.39 # There were 1 total successful branch saturations.
% 8.22/2.39 # There were 0 successful branch saturations in interreduction.
% 8.22/2.39 # There were 0 successful branch saturations on the branch.
% 8.22/2.39 # There were 1 successful branch saturations after the branch.
% 8.22/2.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.22/2.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.22/2.39 # Begin clausification derivation
% 8.22/2.39
% 8.22/2.39 # End clausification derivation
% 8.22/2.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 8.22/2.39 cnf(i_0_2194, negated_conjecture, (top_str(esk383_0))).
% 8.22/2.39 cnf(i_0_2193, negated_conjecture, (element(esk384_0,powerset(powerset(the_carrier(esk383_0)))))).
% 8.22/2.39 cnf(i_0_507, plain, (top_str(esk103_0))).
% 8.22/2.39 cnf(i_0_2383, lemma, (relation_dom(empty_set)=empty_set)).
% 8.22/2.39 cnf(i_0_643, plain, (v1_membered(empty_set))).
% 8.22/2.39 cnf(i_0_722, plain, (v1_membered(esk124_0))).
% 8.22/2.39 cnf(i_0_2382, lemma, (relation_rng(empty_set)=empty_set)).
% 8.22/2.39 cnf(i_0_642, plain, (v2_membered(empty_set))).
% 8.22/2.39 cnf(i_0_721, plain, (v2_membered(esk124_0))).
% 8.22/2.39 cnf(i_0_641, plain, (v3_membered(empty_set))).
% 8.22/2.39 cnf(i_0_720, plain, (v3_membered(esk124_0))).
% 8.22/2.39 cnf(i_0_640, plain, (v4_membered(empty_set))).
% 8.22/2.39 cnf(i_0_719, plain, (v4_membered(esk124_0))).
% 8.22/2.39 cnf(i_0_639, plain, (v5_membered(empty_set))).
% 8.22/2.39 cnf(i_0_718, plain, (v5_membered(esk124_0))).
% 8.22/2.39 cnf(i_0_705, plain, (natural(esk120_0))).
% 8.22/2.39 cnf(i_0_523, plain, (empty(empty_set))).
% 8.22/2.39 cnf(i_0_731, plain, (empty(esk127_0))).
% 8.22/2.39 cnf(i_0_736, plain, (empty(esk128_0))).
% 8.22/2.39 cnf(i_0_741, plain, (empty(esk131_0))).
% 8.22/2.39 cnf(i_0_753, plain, (empty(esk133_0))).
% 8.22/2.39 cnf(i_0_758, plain, (empty(esk134_0))).
% 8.22/2.39 cnf(i_0_537, plain, (ordinal(omega))).
% 8.22/2.39 cnf(i_0_562, plain, (ordinal(empty_set))).
% 8.22/2.39 cnf(i_0_706, plain, (ordinal(esk120_0))).
% 8.22/2.39 cnf(i_0_724, plain, (ordinal(esk125_0))).
% 8.22/2.39 cnf(i_0_728, plain, (ordinal(esk126_0))).
% 8.22/2.39 cnf(i_0_755, plain, (ordinal(esk134_0))).
% 8.22/2.39 cnf(i_0_779, plain, (ordinal(esk142_0))).
% 8.22/2.39 cnf(i_0_539, plain, (epsilon_transitive(omega))).
% 8.22/2.39 cnf(i_0_564, plain, (epsilon_transitive(empty_set))).
% 8.22/2.39 cnf(i_0_708, plain, (epsilon_transitive(esk120_0))).
% 8.22/2.39 cnf(i_0_726, plain, (epsilon_transitive(esk125_0))).
% 8.22/2.39 cnf(i_0_730, plain, (epsilon_transitive(esk126_0))).
% 8.22/2.39 cnf(i_0_757, plain, (epsilon_transitive(esk134_0))).
% 8.22/2.39 cnf(i_0_781, plain, (epsilon_transitive(esk142_0))).
% 8.22/2.39 cnf(i_0_538, plain, (epsilon_connected(omega))).
% 8.22/2.39 cnf(i_0_563, plain, (epsilon_connected(empty_set))).
% 8.22/2.39 cnf(i_0_707, plain, (epsilon_connected(esk120_0))).
% 8.22/2.39 cnf(i_0_725, plain, (epsilon_connected(esk125_0))).
% 8.22/2.39 cnf(i_0_729, plain, (epsilon_connected(esk126_0))).
% 8.22/2.39 cnf(i_0_756, plain, (epsilon_connected(esk134_0))).
% 8.22/2.39 cnf(i_0_780, plain, (epsilon_connected(esk142_0))).
% 8.22/2.39 cnf(i_0_710, plain, (finite(esk121_0))).
% 8.22/2.39 cnf(i_0_567, plain, (function(empty_set))).
% 8.22/2.39 cnf(i_0_712, plain, (function(esk122_0))).
% 8.22/2.39 cnf(i_0_733, plain, (function(esk127_0))).
% 8.22/2.39 cnf(i_0_752, plain, (function(esk133_0))).
% 8.22/2.39 cnf(i_0_760, plain, (function(esk134_0))).
% 8.22/2.39 cnf(i_0_777, plain, (function(esk141_0))).
% 8.22/2.39 cnf(i_0_787, plain, (function(esk145_0))).
% 8.22/2.39 cnf(i_0_522, plain, (relation(empty_set))).
% 8.22/2.39 cnf(i_0_713, plain, (relation(esk122_0))).
% 8.22/2.39 cnf(i_0_734, plain, (relation(esk127_0))).
% 8.22/2.39 cnf(i_0_735, plain, (relation(esk128_0))).
% 8.22/2.39 cnf(i_0_754, plain, (relation(esk133_0))).
% 8.22/2.39 cnf(i_0_761, plain, (relation(esk134_0))).
% 8.22/2.39 cnf(i_0_765, plain, (relation(esk136_0))).
% 8.22/2.39 cnf(i_0_778, plain, (relation(esk141_0))).
% 8.22/2.39 cnf(i_0_784, plain, (relation(esk143_0))).
% 8.22/2.39 cnf(i_0_789, plain, (relation(esk145_0))).
% 8.22/2.39 cnf(i_0_566, plain, (one_to_one(empty_set))).
% 8.22/2.39 cnf(i_0_732, plain, (one_to_one(esk127_0))).
% 8.22/2.39 cnf(i_0_759, plain, (one_to_one(esk134_0))).
% 8.22/2.39 cnf(i_0_776, plain, (one_to_one(esk141_0))).
% 8.22/2.39 cnf(i_0_509, plain, (join_semilatt_str(esk105_0))).
% 8.22/2.39 cnf(i_0_506, plain, (meet_semilatt_str(esk102_0))).
% 8.22/2.39 cnf(i_0_508, plain, (one_sorted_str(esk104_0))).
% 8.22/2.39 cnf(i_0_786, plain, (one_sorted_str(esk144_0))).
% 8.22/2.39 cnf(i_0_727, plain, (being_limit_ordinal(esk126_0))).
% 8.22/2.39 cnf(i_0_510, plain, (latt_str(esk106_0))).
% 8.22/2.39 cnf(i_0_521, plain, (relation_empty_yielding(empty_set))).
% 8.22/2.39 cnf(i_0_783, plain, (relation_empty_yielding(esk143_0))).
% 8.22/2.39 cnf(i_0_788, plain, (relation_empty_yielding(esk145_0))).
% 8.22/2.39 cnf(i_0_529, plain, (preboolean(powerset(X1)))).
% 8.22/2.39 cnf(i_0_531, plain, (cup_closed(powerset(X1)))).
% 8.22/2.39 cnf(i_0_530, plain, (diff_closed(powerset(X1)))).
% 8.22/2.39 cnf(i_0_461, plain, (element(X1,powerset(X1)))).
% 8.22/2.39 cnf(i_0_2434, lemma, (union(powerset(X1))=X1)).
% 8.22/2.39 cnf(i_0_743, plain, (natural(esk132_1(X1)))).
% 8.22/2.39 cnf(i_0_3membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_17, plain, (v1_xcmplx_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_4, plain, (v1_xreal_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_7, plain, (v1_xreal_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_290, plain, (subset(X1,X2)|~in(esk63_2(X1,X2),X2))).
% 8.22/2.39 cnf(i_0_2412, plain, (~in(X1,esk411_2(X2,X3))|~in(X2,X3)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_188, plain, (relation(X1)|in(esk32_1(X1),X1))).
% 8.22/2.39 cnf(i_0_11, plain, (v1_xreal_0(X1)|~v4_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_15, plain, (v1_xreal_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_6, plain, (v1_rat_1(X1)|~v3_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_9, plain, (v1_rat_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_2308, lemma, (being_limit_ordinal(X1)|ordinal(esk398_1(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_677, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_2347, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))).
% 8.22/2.39 cnf(i_0_13, plain, (v1_rat_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_10, plain, (v1_int_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_14, plain, (v1_int_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_16, plain, (natural(X1)|~v5_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_246, plain, (empty(X1)|~empty(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_33, plain, (ordinal(X1)|~ordinal(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_2312, lemma, (being_limit_ordinal(X1)|ordinal(esk399_1(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_601, plain, (v1_membered(set_difference(X1,X2))|~v1_membered(X1))).
% 8.22/2.39 cnf(i_0_2226, lemma, (ordinal(X1)|~ordinal(X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_35, plain, (epsilon_transitive(X1)|~ordinal(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_34, plain, (epsilon_connected(X1)|~ordinal(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_2158, lemma, (finite(X1)|~subset(X1,X2)|~finite(X2))).
% 8.22/2.39 cnf(i_0_603, plain, (v1_membered(set_difference(X1,X2))|~v2_membered(X1))).
% 8.22/2.39 cnf(i_0_700, lemma, (element(X1,powerset(X2))|~in(esk119_2(X1,X2),X2))).
% 8.22/2.39 cnf(i_0_455, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_456, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_659, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_606, plain, (v1_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 8.22/2.39 cnf(i_0_371, plain, (is_antisymmetric_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_370, plain, (is_connected_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_372, plain, (is_transitive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_373, plain, (is_reflexive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_620, plain, (v1_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 8.22/2.39 cnf(i_0_245, plain, (element(X1,X2)|~empty(X2)|~empty(X1))).
% 8.22/2.39 cnf(i_0_2377, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_23, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v1_membered(X2))).
% 8.22/2.39 cnf(i_0_25, plain, (v1_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_625, plain, (v1_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 8.22/2.39 cnf(i_0_369, plain, (is_well_founded_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2264, lemma, (ordinal(X1)|~subset(esk394_1(X1),X1)|~ordinal(esk394_1(X1)))).
% 8.22/2.39 cnf(i_0_809, plain, (ordinal_subset(X1,X1)|~ordinal(X2)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_403, plain, (one_to_one(X1)|esk91_1(X1)!=esk90_1(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_602, plain, (v2_membered(set_difference(X1,X2))|~v2_membered(X1))).
% 8.22/2.39 cnf(i_0_28, plain, (v1_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_32, plain, (v1_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_49, plain, (v1_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_24, plain, (v2_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_605, plain, (v2_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 8.22/2.39 cnf(i_0_2151, lemma, (subset(relation_dom(X1),X2)|~relation_of2_as_subset(X1,X2,X3))).
% 8.22/2.39 cnf(i_0_2150, lemma, (subset(relation_rng(X1),X2)|~relation_of2_as_subset(X1,X3,X2))).
% 8.22/2.39 cnf(i_0_294, plain, (is_well_founded_in(X1,X2)|esk65_2(X1,X2)!=empty_set|~relation(X1))).
% 8.22/2.39 cnf(i_0_2446, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))).
% 8.22/2.39 cnf(i_0_619, plain, (v2_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 8.22/2.39 cnf(i_0_27, plain, (v2_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_31, plain, (v2_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_48, plain, (v2_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_26, plain, (v3_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_435, plain, (relation_inverse(X1)=function_inverse(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_624, plain, (v2_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 8.22/2.39 cnf(i_0_2429, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))).
% 8.22/2.39 cnf(i_0_2215, lemma, (in(X1,X2)|~epsilon_transitive(X1)|~ordinal(X2)|~proper_subset(X1,X2))).
% 8.22/2.39 cnf(i_0_806, plain, (subset(X1,X2)|~ordinal_subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_604, plain, (v3_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 8.22/2.39 cnf(i_0_618, plain, (v3_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 8.22/2.39 cnf(i_0_30, plain, (v3_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_47, plain, (v3_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_29, plain, (v4_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_46, plain, (v4_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_897, lemma, (function(esk159_1(X1))|in(esk156_1(X1),X1))).
% 8.22/2.39 cnf(i_0_623, plain, (v3_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 8.22/2.39 cnf(i_0_617, plain, (v4_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 8.22/2.39 cnf(i_0_622, plain, (v4_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 8.22/2.39 cnf(i_0_621, plain, (v5_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 8.22/2.39 cnf(i_0_520, plain, (finite(set_difference(X1,X2))|~finite(X1))).
% 8.22/2.39 cnf(i_0_485, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1))).
% 8.22/2.39 cnf(i_0_45, plain, (v5_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_54, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_487, plain, (relation(relation_rng_restriction(X1,X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_463, plain, (relation(relation_restriction(X1,X2))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2153, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_633, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2368, lemma, (~element(X1,powerset(X2))|~in(X3,subset_complement(X2,X1))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_239, plain, (subset(X1,X2)|~epsilon_transitive(X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_804, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 8.22/2.39 cnf(i_0_1651, plain, (esk294_0=esk295_0|ordinal(X1)|~in(X1,esk297_1(X2)))).
% 8.22/2.39 cnf(i_0_1643, plain, (esk294_0=esk296_0|ordinal(X1)|~in(X1,esk297_1(X2)))).
% 8.22/2.39 cnf(i_0_2455, plain, (epred1_0|ordinal(esk416_0)|esk415_1(X1)!=X1|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_468, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_898, lemma, (relation(esk159_1(X1))|in(esk156_1(X1),X1))).
% 8.22/2.39 cnf(i_0_401, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)).
% 8.22/2.39 cnf(i_0_2401, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))).
% 8.22/2.39 cnf(i_0_344, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2182, lemma, (closed_subsets(X1,X2)|~open_subsets(complements_of_subsets(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_479, plain, (element(union_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_483, plain, (element(meet_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_799, plain, (union_of_subsets(X1,X2)=union(X2)|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_1647, plain, (ordinal(esk295_0)|ordinal(X1)|~in(X1,esk297_1(X2)))).
% 8.22/2.39 cnf(i_0_1639, plain, (ordinal(esk296_0)|ordinal(X1)|~in(X1,esk297_1(X2)))).
% 8.22/2.39 cnf(i_0_696, lemma, (subset(X1,union(X2))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_338, plain, (function(esk75_2(X1,X2))|~equipotent(X1,X2))).
% 8.22/2.39 cnf(i_0_339, plain, (relation(esk75_2(X1,X2))|~equipotent(X1,X2))).
% 8.22/2.39 cnf(i_0_337, plain, (one_to_one(esk75_2(X1,X2))|~equipotent(X1,X2))).
% 8.22/2.39 cnf(i_0_2483, plain, (epred1_0|element(esk414_0,powerset(powerset(empty_set)))|esk419_1(X1)!=X1|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2170, lemma, (relation_image(X1,relation_dom(X1))=relation_rng(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_315, plain, (is_antisymmetric_in(X1,X2)|esk71_2(X1,X2)!=esk70_2(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_381, plain, (is_connected_in(X1,X2)|esk85_2(X1,X2)!=esk84_2(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2186, lemma, (in(X1,X2)|~relation(X2)|~in(X1,relation_restriction(X2,X3)))).
% 8.22/2.39 cnf(i_0_194, plain, (subset(X1,cartesian_product2(X2,X3))|~relation_of2(X1,X2,X3))).
% 8.22/2.39 cnf(i_0_739, plain, (open_subset(esk130_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_770, plain, (open_subset(esk138_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_637, plain, (closed_subset(cast_as_carrier_subset(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_769, plain, (closed_subset(esk138_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_607, plain, (function(relation_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_150, plain, (in(relation_dom(esk21_1(X1)),omega)|~finite(X1))).
% 8.22/2.39 cnf(i_0_805, plain, (ordinal_subset(X1,X2)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2385, lemma, (one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_432, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_2280, lemma, (apply(identity_relation(X1),X2)=X2|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_792, plain, (closed_subset(esk147_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_248, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 8.22/2.39 cnf(i_0_497, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 8.22/2.39 cnf(i_0_2307, lemma, (being_limit_ordinal(X1)|in(esk398_1(X1),X1)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2421, lemma, (subset(relation_dom_restriction(X1,X2),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_193, plain, (relation_of2(X1,X2,X3)|~subset(X1,cartesian_product2(X2,X3)))).
% 8.22/2.39 cnf(i_0_219, plain, (~relation(X1)|~in(X2,fiber(X1,X2)))).
% 8.22/2.39 cnf(i_0_107, plain, (is_antisymmetric_in(X1,relation_field(X1))|~antisymmetric(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2142, lemma, (subset(relation_rng_restriction(X1,X2),X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2160, lemma, (finite(X1)|~one_sorted_str(X2)|~finite(complements_of_subsets(the_carrier(X2),X1))|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_186, plain, (in(the_carrier(X1),the_topology(X1))|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_791, plain, (empty_carrier(X1)|element(esk146_1(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_138, plain, (is_connected_in(X1,relation_field(X1))|~connected(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_336, plain, (relation_dom(esk75_2(X1,X2))=X1|~equipotent(X1,X2))).
% 8.22/2.39 cnf(i_0_140, plain, (is_transitive_in(X1,relation_field(X1))|~transitive(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_437, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2380, lemma, (is_well_founded_in(X1,relation_field(X1))|~well_founded_relation(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2426, lemma, (well_orders(X1,relation_field(X1))|~well_ordering(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_335, plain, (relation_rng(esk75_2(X1,X2))=X2|~equipotent(X1,X2))).
% 8.22/2.39 cnf(i_0_2345, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_516, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 8.22/2.39 cnf(i_0_653, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 8.22/2.39 cnf(i_0_2249, lemma, (function(esk392_1(X1))|empty(X1)|in(esk391_1(X1),X1))).
% 8.22/2.39 cnf(i_0_651, plain, (finite(set_union2(X1,X2))|~finite(X2)|~finite(X1))).
% 8.22/2.39 cnf(i_0_626, plain, (function(relation_dom_restriction(X1,X2))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_635, plain, (function(relation_rng_restriction(X1,X2))|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_571, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_613, plain, (relation(set_difference(X1,X2))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_515, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 8.22/2.39 cnf(i_0_2250, lemma, (relation(esk392_1(X1))|empty(X1)|in(esk391_1(X1),X1))).
% 8.22/2.39 cnf(i_0_366, plain, (set_difference(X1,X2)=subset_complement(X1,X2)|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_652, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 8.22/2.39 cnf(i_0_477, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2235, lemma, (antisymmetric(relation_restriction(X1,X2))|~antisymmetric(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2230, lemma, (connected(relation_restriction(X1,X2))|~connected(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2232, lemma, (transitive(relation_restriction(X1,X2))|~transitive(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2266, lemma, (well_founded_relation(relation_restriction(X1,X2))|~well_founded_relation(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2270, lemma, (well_ordering(relation_restriction(X1,X2))|~well_ordering(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2223, lemma, (reflexive(relation_restriction(X1,X2))|~reflexive(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2370, lemma, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_525, plain, (relation_empty_yielding(relation_dom_restriction(X1,X2))|~relation_empty_yielding(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2420, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_dom(relation_dom_restriction(X3,X2))))).
% 8.22/2.39 cnf(i_0_2200, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_field(relation_restriction(X3,X2))))).
% 8.22/2.39 cnf(i_0_2432, lemma, (relation_composition(identity_relation(X1),X2)=relation_dom_restriction(X2,X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_481, plain, (element(topstr_closure(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_449, plain, (element(interior(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2183, 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)))))).
% 8.22/2.39 cnf(i_0_2155, lemma, (in(powerset(X1),esk380_1(X2))|~in(X1,esk380_1(X2)))).
% 8.22/2.39 cnf(i_0_2310, lemma, (~being_limit_ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_667, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))).
% 8.22/2.39 cnf(i_0_2140, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_rng(relation_rng_restriction(X2,X3))))).
% 8.22/2.39 cnf(i_0_981, lemma, (ordinal(esk170_1(X1))|~ordinal(X2)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_2238, lemma, (finite(relation_rng(X1))|~relation(X1)|~function(X1)|~finite(relation_dom(X1)))).
% 8.22/2.39 cnf(i_0_1783, lemma, (in(X1,esk341_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_291, plain, (subset(X1,X2)|in(esk63_2(X1,X2),X1))).
% 8.22/2.39 cnf(i_0_801, plain, (meet_of_subsets(X1,X2)=set_meet(X2)|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_2159, lemma, (finite(complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~finite(X2)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1636, plain, (esk298_2(X1,X2)=X2|esk296_0!=esk295_0|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_361, plain, (in(X1,the_topology(X2))|~open_subset(X1,X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_2371, lemma, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2302, lemma, (disjoint(X1,X2)|in(esk397_2(X1,X2),X2))).
% 8.22/2.39 cnf(i_0_292, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2205, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_2386, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_2236, lemma, (well_ordering(relation_restriction(X1,X2))|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2303, lemma, (disjoint(X1,X2)|in(esk397_2(X1,X2),X1))).
% 8.22/2.39 cnf(i_0_2378, lemma, (empty_carrier(X1)|~is_a_cover_of_carrier(X1,empty_set)|~one_sorted_str(X1)|~element(empty_set,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1749, lemma, (esk321_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk320_1(X1)))).
% 8.22/2.39 cnf(i_0_2248, lemma, (relation_dom(esk392_1(X1))=X1|empty(X1)|in(esk391_1(X1),X1))).
% 8.22/2.39 cnf(i_0_701, lemma, (element(X1,powerset(X2))|in(esk119_2(X1,X2),X1))).
% 8.22/2.39 cnf(i_0_1740, lemma, (in(X1,cartesian_product2(X2,X3))|~in(X1,esk317_2(X2,X3)))).
% 8.22/2.39 cnf(i_0_328, plain, (well_ordering(X1)|~reflexive(X1)|~well_founded_relation(X1)|~transitive(X1)|~connected(X1)|~antisymmetric(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_208, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))).
% 8.22/2.39 cnf(i_0_2413, plain, (in(esk411_2(X1,X2),X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_673, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_210, plain, (open_subsets(X1,X2)|~open_subset(esk38_2(X2,X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_255, plain, (closed_subsets(X1,X2)|~closed_subset(esk50_2(X2,X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_378, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2508, plain, (esk420_3(X1,X2,X3)=X2|~epred2_3(X3,X2,X1))).
% 8.22/2.39 cnf(i_0_2187, lemma, (X1=empty_set|relation_inverse_image(X2,X1)!=empty_set|~subset(X1,relation_rng(X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_398, plain, (one_to_one(X1)|~relation_isomorphism(X2,X3,X1)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2503, plain, (esk422_3(X1,X2,X3)=X3|~epred2_3(X3,X2,X1))).
% 8.22/2.39 cnf(i_0_231, plain, (in(X1,powerset(X2))|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_360, plain, (open_subset(X1,X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X1,the_topology(X2)))).
% 8.22/2.39 cnf(i_0_232, plain, (subset(X1,X2)|~in(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_1652, plain, (esk298_2(X1,X2)=X2|esk294_0=esk295_0|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_691, lemma, (connected(X1)|in(esk117_1(X1),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_1644, plain, (esk298_2(X1,X2)=X2|esk294_0=esk296_0|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_2447, plain, (epred1_0|esk415_1(X1)!=X1|esk419_1(X2)!=X2|~in(X1,esk414_0)|~in(X2,esk418_0))).
% 8.22/2.39 cnf(i_0_2352, lemma, (topstr_closure(X1,X2)=X2|~closed_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_679, lemma, (in(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2340, lemma, (subset(X1,topstr_closure(X2,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_2319, lemma, (subset(interior(X1,X2),X2)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_690, lemma, (connected(X1)|in(esk118_1(X1),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2166, lemma, (subset(relation_image(X1,X2),relation_rng(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_524, plain, (finite(relation_image(X1,X2))|~relation(X1)|~function(X1)|~finite(X2))).
% 8.22/2.39 cnf(i_0_1750, lemma, (ordinal(esk321_2(X1,X2))|~ordinal(X1)|~in(X2,esk320_1(X1)))).
% 8.22/2.39 cnf(i_0_2180, lemma, (subset(relation_inverse_image(X1,X2),relation_dom(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2137, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))).
% 8.22/2.39 cnf(i_0_657, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_261, plain, (well_founded_relation(X1)|subset(esk52_1(X1),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2391, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))).
% 8.22/2.39 cnf(i_0_676, lemma, (relation(esk114_2(X1,X2))|~equipotent(X1,relation_field(X2))|~well_ordering(X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2509, plain, (ordinal(esk420_3(X1,X2,X3))|~epred2_3(X3,X2,X1))).
% 8.22/2.39 cnf(i_0_2504, plain, (ordinal(esk422_3(X1,X2,X3))|~epred2_3(X3,X2,X1))).
% 8.22/2.39 cnf(i_0_187, plain, (relation(X1)|esk32_1(X1)!=unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))).
% 8.22/2.39 cnf(i_0_402, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))).
% 8.22/2.39 cnf(i_0_1648, plain, (esk298_2(X1,X2)=X2|ordinal(esk295_0)|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_1640, plain, (esk298_2(X1,X2)=X2|ordinal(esk296_0)|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_2468, plain, (epred1_0|in(esk415_1(X1),esk414_0)|esk418_0!=empty_set|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_2476, plain, (epred1_0|in(esk419_1(X1),esk418_0)|esk414_0!=empty_set|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_662, lemma, (reflexive(X1)|in(esk110_1(X1),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_352, plain, (X1=omega|~being_limit_ordinal(X1)|~subset(X1,esk80_1(X1))|~ordinal(X1)|~in(empty_set,X1))).
% 8.22/2.39 cnf(i_0_2257, plain, (X1=X2|~in(esk393_2(X1,X2),X2)|~in(esk393_2(X1,X2),X1))).
% 8.22/2.39 cnf(i_0_267, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2459, plain, (epred1_0|subset(X1,esk415_1(X1))|esk418_0!=empty_set|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_2475, plain, (epred1_0|subset(X1,esk419_1(X1))|esk414_0!=empty_set|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_410, plain, (meet_absorbing(X1)|empty_carrier(X1)|element(esk92_1(X1),the_carrier(X1))|~latt_str(X1))).
% 8.22/2.39 cnf(i_0_409, plain, (meet_absorbing(X1)|empty_carrier(X1)|element(esk93_1(X1),the_carrier(X1))|~latt_str(X1))).
% 8.22/2.39 cnf(i_0_902, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk157_1(X1)|function(esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_2251, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_268, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_345, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))).
% 8.22/2.39 cnf(i_0_665, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2237, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2125, lemma, (element(esk377_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2334, lemma, (element(esk402_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2351, lemma, (closed_subset(X1,X2)|topstr_closure(X2,X1)!=X1|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_903, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk157_1(X1)|relation(esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_259, plain, (well_founded_relation(X1)|~disjoint(fiber(X1,X2),esk52_1(X1))|~relation(X1)|~in(X2,esk52_1(X1)))).
% 8.22/2.39 cnf(i_0_2419, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(X1,relation_dom(relation_dom_restriction(X2,X3))))).
% 8.22/2.39 cnf(i_0_2201, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(X1,relation_field(relation_restriction(X2,X3))))).
% 8.22/2.39 cnf(i_0_2139, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(X1,relation_rng(relation_rng_restriction(X3,X2))))).
% 8.22/2.39 cnf(i_0_2209, lemma, (subset(relation_field(relation_restriction(X1,X2)),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2141, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_552, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v1_membered(X2))).
% 8.22/2.39 cnf(i_0_576, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X2))).
% 8.22/2.39 cnf(i_0_892, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk158_1(X1)|function(esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_980, lemma, (in(esk170_1(X1),X1)|~ordinal(X2)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_356, plain, (subset(omega,X1)|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 8.22/2.39 cnf(i_0_582, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))).
% 8.22/2.39 cnf(i_0_590, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 8.22/2.39 cnf(i_0_893, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk158_1(X1)|relation(esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_600, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 8.22/2.39 cnf(i_0_575, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X2))).
% 8.22/2.39 cnf(i_0_581, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))).
% 8.22/2.39 cnf(i_0_2473, plain, (epred1_0|ordinal(esk416_0)|in(esk415_1(X1),esk414_0)|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_589, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 8.22/2.39 cnf(i_0_797, plain, (relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)|~relation_of2(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_798, plain, (relation_rng_as_subset(X1,X2,X3)=relation_rng(X3)|~relation_of2(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_2369, lemma, (well_ordering(X1)|~relation_isomorphism(X2,X1,X3)|~well_ordering(X2)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 8.22/2.39 cnf(i_0_149, plain, (finite(relation_rng(X1))|~relation(X1)|~function(X1)|~in(relation_dom(X1),omega))).
% 8.22/2.39 cnf(i_0_599, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 8.22/2.39 cnf(i_0_580, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))).
% 8.22/2.39 cnf(i_0_76, plain, (ordinal_subset(X1,X2)|ordinal_subset(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2271, lemma, (in(X1,X2)|~ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_1940, lemma, (function(esk358_1(X1))|esk356_1(X1)!=esk355_1(X1))).
% 8.22/2.39 cnf(i_0_1941, lemma, (relation(esk358_1(X1))|esk356_1(X1)!=esk355_1(X1))).
% 8.22/2.39 cnf(i_0_588, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 8.22/2.39 cnf(i_0_598, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 8.22/2.39 cnf(i_0_587, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 8.22/2.39 cnf(i_0_533, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.22/2.39 cnf(i_0_2288, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X2,X3)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2428, lemma, (subset(set_union2(X1,X2),X3)|~subset(X2,X3)|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_597, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 8.22/2.39 cnf(i_0_596, plain, (v5_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 8.22/2.39 cnf(i_0_609, plain, (ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_611, plain, (epsilon_transitive(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_610, plain, (epsilon_connected(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_514, plain, (finite(set_difference(X1,set_difference(X1,X2)))|~finite(X2))).
% 8.22/2.39 cnf(i_0_2128, lemma, (element(esk379_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_413, 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)))))).
% 8.22/2.39 cnf(i_0_412, 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)))))).
% 8.22/2.39 cnf(i_0_2252, lemma, (closed_subset(X1,X2)|~open_subset(subset_complement(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_2464, plain, (epred1_0|subset(X1,esk415_1(X1))|ordinal(esk416_0)|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_2199, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X1))=relation_restriction(X2,X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2172, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(relation_rng(X1),X3))).
% 8.22/2.39 cnf(i_0_160, 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))).
% 8.22/2.39 cnf(i_0_1008, lemma, (relation(esk176_3(X1,X2,X3))|~relation(X3)|~relation(X2)|~function(X3))).
% 8.22/2.39 cnf(i_0_2195, lemma, (relation_dom_restriction(relation_rng_restriction(X1,X2),X1)=relation_restriction(X2,X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_473, plain, (element(relation_dom_as_subset(X1,X2,X3),powerset(X1))|~relation_of2(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_478, plain, (element(relation_rng_as_subset(X1,X2,X3),powerset(X2))|~relation_of2(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_656, plain, (subset_intersection2(X1,X2,X2)=X2|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_480, plain, (element(subset_intersection2(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_2181, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(X4,X3))).
% 8.22/2.39 cnf(i_0_1791, lemma, (esk344_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk343_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1637, plain, (in(esk298_2(X1,X2),X1)|esk296_0!=esk295_0|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_695, lemma, (X1=unordered_pair(X2,X2)|X1=empty_set|~subset(X1,unordered_pair(X2,X2)))).
% 8.22/2.39 cnf(i_0_484, plain, (element(subset_difference(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_212, plain, (open_subsets(X1,X2)|element(esk38_2(X2,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_257, plain, (closed_subsets(X1,X2)|element(esk50_2(X2,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_406, plain, (one_to_one(X1)|in(esk90_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2216, lemma, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1))).
% 8.22/2.39 cnf(i_0_1257, plain, (esk222_2(X1,X2)=X2|esk218_1(X1)!=esk219_1(X1)|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_1259, plain, (esk221_2(X1,X2)=X2|esk218_1(X1)!=esk219_1(X1)|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_818, lemma, (function(esk153_2(X1,X2))|empty(X1)|esk150_2(X1,X2)!=esk149_2(X1,X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_668, lemma, (subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_646, plain, (open_subset(interior(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_573, plain, (closed_subset(topstr_closure(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_355, plain, (X1=omega|ordinal(esk80_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 8.22/2.39 cnf(i_0_405, plain, (one_to_one(X1)|in(esk91_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2210, lemma, (subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_819, lemma, (relation(esk153_2(X1,X2))|empty(X1)|esk150_2(X1,X2)!=esk149_2(X1,X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2442, plain, (in(X1,esk413_2(X2,X3))|~subset(X1,X3)|~in(X3,esk412_1(X2)))).
% 8.22/2.39 cnf(i_0_230, plain, (X1=powerset(X2)|~subset(esk43_2(X2,X1),X2)|~in(esk43_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_1792, lemma, (ordinal(esk344_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk343_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2433, lemma, (subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_353, plain, (X1=omega|being_limit_ordinal(esk80_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 8.22/2.39 cnf(i_0_2269, lemma, (X1=empty_set|ordinal(esk395_2(X1,X2))|~subset(X1,X2)|~ordinal(X2))).
% 8.22/2.39 cnf(i_0_2485, plain, (epred1_0|element(esk414_0,powerset(powerset(empty_set)))|in(esk419_1(X1),esk418_0)|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2484, plain, (epred1_0|subset(X1,esk419_1(X1))|element(esk414_0,powerset(powerset(empty_set)))|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2231, lemma, (X1=X2|in(X1,X2)|in(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2143, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_250, plain, (X1=unordered_pair(X2,X3)|esk49_3(X2,X3,X1)!=X3|~in(esk49_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_251, plain, (X1=unordered_pair(X2,X3)|esk49_3(X2,X3,X1)!=X2|~in(esk49_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1258, plain, (ordinal(esk222_2(X1,X2))|esk218_1(X1)!=esk219_1(X1)|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_1738, lemma, (in(esk318_3(X1,X2,X3),X1)|~in(X3,esk317_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_319, plain, (is_antisymmetric_in(X1,X2)|in(esk70_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2174, lemma, (subset_intersection2(the_carrier(X1),X2,cast_as_carrier_subset(X1))=X2|~one_sorted_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2478, plain, (epred1_0|element(esk418_0,powerset(powerset(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)))))|esk414_0!=empty_set)).
% 8.22/2.39 cnf(i_0_2443, plain, (in(esk413_2(X1,X2),esk412_1(X1))|~in(X2,esk412_1(X1)))).
% 8.22/2.39 cnf(i_0_555, plain, (natural(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~natural(X1))).
% 8.22/2.39 cnf(i_0_254, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X3,X2)))).
% 8.22/2.39 cnf(i_0_2306, lemma, (being_limit_ordinal(X1)|~ordinal(X1)|~in(set_union2(esk398_1(X1),unordered_pair(esk398_1(X1),esk398_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_2353, lemma, (epred3_2(X1,X2)|~relation_isomorphism(X2,X1,X3)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 8.22/2.39 cnf(i_0_698, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))).
% 8.22/2.39 cnf(i_0_318, plain, (is_antisymmetric_in(X1,X2)|in(esk71_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_546, plain, (relation(set_difference(X1,set_difference(X1,X2)))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_383, plain, (is_connected_in(X1,X2)|in(esk84_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_699, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))).
% 8.22/2.39 cnf(i_0_1939, lemma, (relation_dom(esk358_1(X1))=X1|esk356_1(X1)!=esk355_1(X1))).
% 8.22/2.39 cnf(i_0_382, plain, (is_connected_in(X1,X2)|in(esk85_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1753, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk325_2(X3,X1)))).
% 8.22/2.39 cnf(i_0_1653, plain, (esk294_0=esk295_0|in(esk298_2(X1,X2),X1)|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_1645, plain, (esk294_0=esk296_0|in(esk298_2(X1,X2),X1)|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_802, plain, (subset_difference(X1,X2,X3)=set_difference(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_425, plain, (is_transitive_in(X1,X2)|in(esk98_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_325, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_302, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))).
% 8.22/2.39 cnf(i_0_424, plain, (is_transitive_in(X1,X2)|in(esk99_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_423, plain, (is_transitive_in(X1,X2)|in(esk100_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_191, plain, (is_reflexive_in(X1,X2)|in(esk33_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_295, plain, (is_well_founded_in(X1,X2)|subset(esk65_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1757, lemma, (in(X1,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~in(X1,esk325_2(X2,X3)))).
% 8.22/2.39 cnf(i_0_2116, lemma, (apply(esk376_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_159, plain, (X1=empty_set|X2=empty_set|~quasi_total(X2,X1,empty_set)|~relation_of2_as_subset(X2,X1,empty_set))).
% 8.22/2.39 cnf(i_0_2479, plain, (epred1_0|in(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)),omega)|esk414_0!=empty_set)).
% 8.22/2.39 cnf(i_0_914, lemma, (function(esk163_2(X1,X2))|esk161_2(X1,X2)!=esk162_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_949, lemma, (function(esk168_2(X1,X2))|esk166_2(X1,X2)!=esk167_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_915, lemma, (relation(esk163_2(X1,X2))|esk161_2(X1,X2)!=esk162_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_950, lemma, (relation(esk168_2(X1,X2))|esk166_2(X1,X2)!=esk167_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2145, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_2156, lemma, (in(X1,esk380_1(X2))|~subset(X1,X3)|~in(X3,esk380_1(X2)))).
% 8.22/2.39 cnf(i_0_2444, plain, (in(X1,esk412_1(X2))|~subset(X1,X3)|~in(X3,esk412_1(X2)))).
% 8.22/2.39 cnf(i_0_1199, plain, (esk214_3(X1,X2,X3)=X3|esk208_1(X1)!=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2234, lemma, (subset(relation_dom(X1),relation_dom(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2144, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))).
% 8.22/2.39 cnf(i_0_2262, lemma, (open_subset(X1,X2)|~closed_subset(subset_complement(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_1760, lemma, (in(X1,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,esk327_2(X2,X3)))).
% 8.22/2.39 cnf(i_0_2253, lemma, (open_subset(subset_complement(the_carrier(X1),X2),X1)|~closed_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_211, plain, (open_subsets(X1,X2)|in(esk38_2(X2,X1),X1)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_2273, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_2233, lemma, (subset(relation_rng(X1),relation_rng(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_675, lemma, (well_orders(esk114_2(X1,X2),X1)|~equipotent(X1,relation_field(X2))|~well_ordering(X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_400, plain, (relation_field(X1)=relation_dom(X2)|~relation_isomorphism(X1,X3,X2)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_399, plain, (relation_rng(X1)=relation_field(X2)|~relation_isomorphism(X3,X2,X1)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_256, plain, (closed_subsets(X1,X2)|in(esk50_2(X2,X1),X1)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_1649, plain, (ordinal(esk295_0)|in(esk298_2(X1,X2),X1)|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_1641, plain, (ordinal(esk296_0)|in(esk298_2(X1,X2),X1)|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_503, plain, (relation_of2_as_subset(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_304, plain, (apply(X1,X2)=empty_set|in(X2,relation_dom(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2175, lemma, (relation_rng(relation_composition(X1,X2))=relation_image(X2,relation_rng(X1))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_293, plain, (is_well_founded_in(X1,X2)|~disjoint(fiber(X1,X3),esk65_2(X1,X2))|~relation(X1)|~in(X3,esk65_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_162, plain, (X1=empty_set|quasi_total(X2,X3,X1)|relation_dom_as_subset(X3,X1,X2)!=X3|~relation_of2_as_subset(X2,X3,X1))).
% 8.22/2.39 cnf(i_0_2291, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_ordering(X1)|~subset(X2,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2161, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X3))=relation_dom_restriction(relation_rng_restriction(X1,X2),X3)|~relation(X2))).
% 8.22/2.39 cnf(i_0_498, plain, (relation_of2_as_subset(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_504, plain, (quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_499, plain, (quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_2198, lemma, (X1=empty_set|in(esk385_2(X2,X1),X1)|~finite(X2)|~element(X1,powerset(powerset(X2))))).
% 8.22/2.39 cnf(i_0_200, plain, (X1=empty_set|in(X2,set_meet(X1))|~in(X2,esk34_3(X1,set_meet(X1),X2)))).
% 8.22/2.39 cnf(i_0_368, plain, (well_orders(X1,X2)|~is_well_founded_in(X1,X2)|~is_reflexive_in(X1,X2)|~is_transitive_in(X1,X2)|~is_connected_in(X1,X2)|~is_antisymmetric_in(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2208, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 8.22/2.39 cnf(i_0_2154, lemma, (are_equipotent(X1,esk380_1(X2))|in(X1,esk380_1(X2))|~subset(X1,esk380_1(X2)))).
% 8.22/2.39 cnf(i_0_376, 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))))).
% 8.22/2.39 cnf(i_0_2313, lemma, (disjoint(X1,X2)|~subset(X1,subset_complement(X3,X2))|~element(X2,powerset(X3))|~element(X1,powerset(X3)))).
% 8.22/2.39 cnf(i_0_2441, plain, (are_equipotent(X1,esk412_1(X2))|in(X1,esk412_1(X2))|~subset(X1,esk412_1(X2)))).
% 8.22/2.39 cnf(i_0_354, plain, (X1=omega|in(empty_set,esk80_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 8.22/2.39 cnf(i_0_327, plain, (in(X1,esk72_3(X2,union(X2),X1))|~in(X1,union(X2)))).
% 8.22/2.39 cnf(i_0_326, plain, (in(esk72_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
% 8.22/2.39 cnf(i_0_2260, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 8.22/2.39 cnf(i_0_2261, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 8.22/2.39 cnf(i_0_2207, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 8.22/2.39 cnf(i_0_206, plain, (X1=unordered_pair(X2,X2)|esk37_2(X2,X1)!=X2|~in(esk37_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_2268, lemma, (X1=empty_set|in(esk395_2(X1,X2),X1)|~subset(X1,X2)|~ordinal(X2))).
% 8.22/2.39 cnf(i_0_2487, plain, (epred1_0|element(esk418_0,powerset(powerset(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)))))|element(esk414_0,powerset(powerset(empty_set))))).
% 8.22/2.39 cnf(i_0_1964, lemma, (function(esk358_1(X1))|in(esk354_1(X1),X1))).
% 8.22/2.39 cnf(i_0_1965, lemma, (relation(esk358_1(X1))|in(esk354_1(X1),X1))).
% 8.22/2.39 cnf(i_0_2185, lemma, (in(X1,cartesian_product2(X2,X2))|~relation(X3)|~in(X1,relation_restriction(X3,X2)))).
% 8.22/2.39 cnf(i_0_1790, lemma, (in(esk344_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk343_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2163, lemma, (in(esk381_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 8.22/2.39 cnf(i_0_2177, lemma, (in(esk382_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 8.22/2.39 cnf(i_0_2318, lemma, (subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2263, lemma, (closed_subset(subset_complement(the_carrier(X1),X2),X1)|~open_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2325, lemma, (subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2167, lemma, (subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2121, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~element(X2,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk377_2(X3,X1)))).
% 8.22/2.39 cnf(i_0_385, plain, (set_difference(X1,set_difference(X1,cartesian_product2(X2,X2)))=relation_restriction(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_161, 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))).
% 8.22/2.39 cnf(i_0_1182, plain, (in(esk205_2(X1,X2),X1)|esk203_1(X1)!=esk202_1(X1)|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_1634, plain, (in(X1,esk297_1(X2))|esk296_0!=esk295_0|~ordinal(X1)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2332, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~element(X2,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk402_2(X3,X1)))).
% 8.22/2.39 cnf(i_0_2333, lemma, (closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~in(X1,esk402_2(X2,X3)))).
% 8.22/2.39 cnf(i_0_158, plain, (X1=empty_set|quasi_total(empty_set,X1,empty_set)|~relation_of2_as_subset(empty_set,X1,empty_set))).
% 8.22/2.39 cnf(i_0_2488, plain, (epred1_0|element(esk414_0,powerset(powerset(empty_set)))|in(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)),omega))).
% 8.22/2.39 cnf(i_0_979, lemma, (ordinal_subset(esk170_1(X1),X2)|~ordinal(X3)|~ordinal(X2)|~in(X3,X1)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_324, plain, (X1=union(X2)|~in(esk73_2(X2,X1),X3)|~in(esk73_2(X2,X1),X1)|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1735, lemma, (empty(X1)|in(X2,cartesian_product2(X1,X3))|~relation(X4)|~in(X2,esk312_3(X1,X4,X3)))).
% 8.22/2.39 cnf(i_0_886, lemma, (in(X1,X2)|esk158_1(X2)!=esk157_1(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk159_1(X2)))).
% 8.22/2.39 cnf(i_0_2314, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_2190, 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))))).
% 8.22/2.39 cnf(i_0_223, plain, (inclusion_relation(relation_field(X1))=X1|in(esk40_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2217, lemma, (subset(fiber(relation_restriction(X1,X2),X3),fiber(X1,X3))|~relation(X1))).
% 8.22/2.39 cnf(i_0_165, plain, (X1=X2|esk25_2(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1)!=X1)).
% 8.22/2.39 cnf(i_0_81, plain, (X1=X2|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),identity_relation(X3)))).
% 8.22/2.39 cnf(i_0_222, plain, (inclusion_relation(relation_field(X1))=X1|in(esk41_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_1963, lemma, (relation_dom(esk358_1(X1))=X1|in(esk354_1(X1),X1))).
% 8.22/2.39 cnf(i_0_2213, lemma, (in(X1,relation_dom(X2))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(X1,relation_dom(relation_composition(X2,X3))))).
% 8.22/2.39 cnf(i_0_142, plain, (X1=unordered_triple(X2,X3,X4)|esk20_4(X2,X3,X4,X1)!=X4|~in(esk20_4(X2,X3,X4,X1),X1))).
% 8.22/2.39 cnf(i_0_143, plain, (X1=unordered_triple(X2,X3,X4)|esk20_4(X2,X3,X4,X1)!=X3|~in(esk20_4(X2,X3,X4,X1),X1))).
% 8.22/2.39 cnf(i_0_874, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|function(esk153_2(X1,X2))|empty(X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_234, plain, (X1=X2|esk45_2(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),X1)!=X1)).
% 8.22/2.39 cnf(i_0_213, plain, (open_subset(X1,X2)|~open_subsets(X3,X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_258, plain, (closed_subset(X1,X2)|~closed_subsets(X3,X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2481, plain, (X1=empty_set|epred1_0|in(esk417_1(X1),X1)|esk414_0!=empty_set|~element(X1,powerset(powerset(esk416_0)))|~in(esk416_0,omega))).
% 8.22/2.39 cnf(i_0_2276, lemma, (identity_relation(relation_dom(X1))=X1|apply(X1,esk396_2(relation_dom(X1),X1))!=esk396_2(relation_dom(X1),X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_875, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|relation(esk153_2(X1,X2))|empty(X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_144, plain, (X1=unordered_triple(X2,X3,X4)|esk20_4(X2,X3,X4,X1)!=X2|~in(esk20_4(X2,X3,X4,X1),X1))).
% 8.22/2.39 cnf(i_0_2188, lemma, (subset(relation_inverse_image(X1,X2),relation_inverse_image(X1,X3))|~subset(X2,X3)|~relation(X1))).
% 8.22/2.39 cnf(i_0_265, plain, (X1=set_union2(X2,X3)|~in(esk53_3(X2,X3,X1),X1)|~in(esk53_3(X2,X3,X1),X3))).
% 8.22/2.39 cnf(i_0_842, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|function(esk153_2(X1,X2))|empty(X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2465, plain, (epred1_0|in(esk415_1(X1),esk414_0)|esk419_1(X2)!=X2|~in(X1,esk414_0)|~in(X2,esk418_0))).
% 8.22/2.39 cnf(i_0_2449, plain, (epred1_0|in(esk419_1(X1),esk418_0)|esk415_1(X2)!=X2|~in(X2,esk414_0)|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2456, plain, (epred1_0|subset(X1,esk415_1(X1))|esk419_1(X2)!=X2|~in(X1,esk414_0)|~in(X2,esk418_0))).
% 8.22/2.39 cnf(i_0_2448, plain, (epred1_0|subset(X1,esk419_1(X1))|esk415_1(X2)!=X2|~in(X2,esk414_0)|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_334, plain, (equipotent(relation_dom(X1),relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_266, plain, (X1=set_union2(X2,X3)|~in(esk53_3(X2,X3,X1),X1)|~in(esk53_3(X2,X3,X1),X2))).
% 8.22/2.39 cnf(i_0_2171, lemma, (relation_image(X1,relation_inverse_image(X1,X2))=X2|~subset(X2,relation_rng(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_1678, plain, (esk310_3(X1,X2,X3)=X3|esk306_2(X1,X2)!=esk305_2(X1,X2)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2424, lemma, (X1=apply(X2,X3)|~relation(X2)|~function(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 8.22/2.39 cnf(i_0_843, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|relation(esk153_2(X1,X2))|empty(X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2372, 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))))).
% 8.22/2.39 cnf(i_0_2315, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|~closed_subset(esk400_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1755, lemma, (esk326_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk325_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2335, lemma, (relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~subset(relation_rng(X1),relation_dom(X2))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1650, plain, (esk294_0=esk295_0|in(X1,esk297_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2408, lemma, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(identity_relation(X2),X3)))).
% 8.22/2.39 cnf(i_0_2274, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)))).
% 8.22/2.39 cnf(i_0_2275, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))).
% 8.22/2.39 cnf(i_0_2338, lemma, (relation_rng(relation_composition(X1,X2))=relation_rng(X2)|~subset(relation_dom(X2),relation_rng(X1))|~relation(X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1188, plain, (in(esk205_2(X1,X2),X1)|in(esk201_1(X1),X1)|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_183, plain, (topological_space(X1)|element(esk27_1(X1),powerset(powerset(the_carrier(X1))))|element(esk28_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_182, plain, (topological_space(X1)|element(esk27_1(X1),powerset(powerset(the_carrier(X1))))|element(esk29_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_429, plain, (X1=complements_of_subsets(X2,X3)|element(esk101_3(X2,X3,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 8.22/2.39 cnf(i_0_1778, lemma, (in(X1,cartesian_product2(X2,X3))|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))|~in(X1,esk334_3(X4,X2,X3)))).
% 8.22/2.39 cnf(i_0_1642, plain, (esk294_0=esk296_0|in(X1,esk297_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2147, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_2202, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_2343, lemma, (relation_isomorphism(X1,X2,function_inverse(X3))|~relation_isomorphism(X2,X1,X3)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 8.22/2.39 cnf(i_0_1677, plain, (ordinal(esk311_3(X1,X2,X3))|esk306_2(X1,X2)!=esk305_2(X1,X2)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_442, 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)))).
% 8.22/2.39 cnf(i_0_457, plain, (empty_carrier(X1)|element(meet(X1,X2,X3),the_carrier(X1))|~meet_semilatt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_2330, lemma, (meet_of_subsets(the_carrier(X1),esk402_2(X1,X2))=topstr_closure(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_163, plain, (relation_dom_as_subset(X1,X2,X3)=X1|X2=empty_set|~quasi_total(X3,X1,X2)|~relation_of2_as_subset(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_1646, plain, (ordinal(esk295_0)|in(X1,esk297_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_301, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X3)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2430, lemma, (set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2))=relation_dom(relation_dom_restriction(X1,X2))|~relation(X1))).
% 8.22/2.39 cnf(i_0_1788, lemma, (in(X1,powerset(relation_dom(X2)))|~relation(X2)|~function(X2)|~element(X3,powerset(powerset(X4)))|~in(X1,esk342_3(X4,X3,X2)))).
% 8.22/2.39 cnf(i_0_1638, plain, (ordinal(esk296_0)|in(X1,esk297_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_277, plain, (in(esk54_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2146, lemma, (set_difference(relation_rng(X1),set_difference(relation_rng(X1),X2))=relation_rng(relation_rng_restriction(X2,X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_1751, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk320_1(X2)))).
% 8.22/2.39 cnf(i_0_2169, lemma, (subset(X1,relation_inverse_image(X2,relation_image(X2,X1)))|~subset(X1,relation_dom(X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_2184, lemma, (in(X1,relation_restriction(X2,X3))|~relation(X2)|~in(X1,cartesian_product2(X3,X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_688, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk117_1(X1),esk117_1(X1)),unordered_pair(esk117_1(X1),esk118_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_404, plain, (apply(X1,esk91_1(X1))=apply(X1,esk90_1(X1))|one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_964, lemma, (relation(esk168_2(X1,X2))|in(esk165_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2148, lemma, (meet_of_subsets(X1,complements_of_subsets(X1,X2))=subset_complement(X1,union_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_276, plain, (in(esk55_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))).
% 8.22/2.39 cnf(i_0_850, lemma, (function(esk153_2(X1,X2))|empty(X1)|in(esk148_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_687, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk117_1(X1),esk118_1(X1)),unordered_pair(esk118_1(X1),esk118_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_669, lemma, (transitive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk111_1(X1),esk111_1(X1)),unordered_pair(esk111_1(X1),esk113_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_661, lemma, (reflexive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk110_1(X1),esk110_1(X1)),unordered_pair(esk110_1(X1),esk110_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_113, plain, (in(X1,relation_dom(X2))|~relation(X2)|~function(X2)|~in(X1,relation_inverse_image(X2,X3)))).
% 8.22/2.39 cnf(i_0_1759, lemma, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))|~in(X2,esk327_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_851, lemma, (relation(esk153_2(X1,X2))|empty(X1)|in(esk148_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2402, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,relation_dom(relation_dom_restriction(X1,X2))))).
% 8.22/2.39 cnf(i_0_2418, lemma, (in(X1,relation_dom(relation_dom_restriction(X2,X3)))|~relation(X2)|~in(X1,relation_dom(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2138, lemma, (in(X1,relation_rng(relation_rng_restriction(X2,X3)))|~relation(X3)|~in(X1,relation_rng(X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_198, plain, (X1=set_meet(X2)|X2=empty_set|~in(esk35_2(X2,X1),esk36_2(X2,X1))|~in(esk35_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_75, plain, (subset_intersection2(X1,X2,X3)=subset_intersection2(X1,X3,X2)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_263, plain, (X1=empty_set|in(esk51_2(X2,X1),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_2373, 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))))).
% 8.22/2.39 cnf(i_0_377, 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))))).
% 8.22/2.39 cnf(i_0_1197, plain, (in(esk215_3(X1,X2,X3),X1)|esk208_1(X1)!=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_885, lemma, (X1=unordered_pair(X2,X2)|esk158_1(X3)!=esk157_1(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk159_1(X3)))).
% 8.22/2.39 cnf(i_0_202, plain, (X1=empty_set|in(X2,X3)|~in(X2,set_meet(X1))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2490, plain, (X1=empty_set|epred1_0|element(esk414_0,powerset(powerset(empty_set)))|in(esk417_1(X1),X1)|~element(X1,powerset(powerset(esk416_0)))|~in(esk416_0,omega))).
% 8.22/2.39 cnf(i_0_1756, lemma, (element(esk326_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk325_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2152, 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))))).
% 8.22/2.39 cnf(i_0_279, 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)))).
% 8.22/2.39 cnf(i_0_1247, plain, (esk214_3(X1,X2,X3)=X3|esk206_1(X1)=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2405, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_2272, lemma, (ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2165, lemma, (in(esk381_3(X1,X2,X3),relation_dom(X3))|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 8.22/2.39 cnf(i_0_2179, lemma, (in(esk382_3(X1,X2,X3),relation_rng(X3))|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 8.22/2.39 cnf(i_0_1223, plain, (esk214_3(X1,X2,X3)=X3|esk206_1(X1)=esk208_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2451, plain, (epred1_0|element(esk418_0,powerset(powerset(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)))))|esk415_1(X1)!=X1|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_1771, lemma, (in(X1,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,esk330_3(X2,X3,X4)))).
% 8.22/2.39 cnf(i_0_1787, lemma, (in(relation_image(X1,X2),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk342_3(X4,X3,X1)))).
% 8.22/2.39 cnf(i_0_2277, lemma, (identity_relation(relation_dom(X1))=X1|in(esk396_2(relation_dom(X1),X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2348, lemma, (disjoint(X1,X2)|in(esk403_2(X1,X2),set_difference(X1,set_difference(X1,X2))))).
% 8.22/2.39 cnf(i_0_343, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_269, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))).
% 8.22/2.39 cnf(i_0_2320, lemma, (in(X1,topstr_closure(X2,X3))|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~in(X1,esk401_3(X2,X3,X1))|~in(X1,the_carrier(X2)))).
% 8.22/2.39 cnf(i_0_2349, lemma, (X1=empty_set|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))).
% 8.22/2.39 cnf(i_0_278, 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)))).
% 8.22/2.39 cnf(i_0_2123, lemma, (esk378_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk377_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_205, plain, (esk37_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk37_2(X1,X2),X2))).
% 8.22/2.39 cnf(i_0_2311, lemma, (set_union2(esk399_1(X1),unordered_pair(esk399_1(X1),esk399_1(X1)))=X1|being_limit_ordinal(X1)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_408, plain, (meet_absorbing(X1)|empty_carrier(X1)|join(X1,meet(X1,esk92_1(X1),esk93_1(X1)),esk93_1(X1))!=esk93_1(X1)|~latt_str(X1))).
% 8.22/2.39 cnf(i_0_1676, plain, (esk311_3(X1,X2,X3)=X3|esk306_2(X1,X2)!=esk305_2(X1,X2)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1180, plain, (in(unordered_pair(X1,X1),esk204_1(X2))|esk203_1(X2)!=esk202_1(X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_684, lemma, (subset(X1,set_difference(X2,unordered_pair(X3,X3)))|in(X3,X1)|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_2105, lemma, (X1=empty_set|in(esk375_2(X2,X1),X1)|esk373_0!=empty_set|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_466, plain, (empty_carrier(X1)|element(join_commut(X1,X2,X3),the_carrier(X1))|~join_semilatt_str(X1)|~join_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_471, plain, (empty_carrier(X1)|element(meet_commut(X1,X2,X3),the_carrier(X1))|~meet_semilatt_str(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_185, plain, (in(union_of_subsets(the_carrier(X1),X2),the_topology(X1))|~topological_space(X1)|~top_str(X1)|~subset(X2,the_topology(X1))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2467, plain, (epred1_0|in(esk419_1(X1),esk418_0)|in(esk415_1(X2),esk414_0)|~in(X2,esk414_0)|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2243, lemma, (esk391_1(X1)=empty_set|in(apply(esk392_1(X1),X2),X2)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_2317, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|element(esk400_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1764, lemma, (in(X1,powerset(X2))|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(X1,esk328_2(X2,X3)))).
% 8.22/2.39 cnf(i_0_2197, lemma, (X1=esk385_2(X2,X3)|X3=empty_set|~subset(esk385_2(X2,X3),X1)|~finite(X2)|~element(X3,powerset(powerset(X2)))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_129, plain, (in(esk14_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_image(X1,X2)))).
% 8.22/2.39 cnf(i_0_201, plain, (X1=empty_set|in(esk34_3(X1,set_meet(X1),X2),X1)|in(X2,set_meet(X1)))).
% 8.22/2.39 cnf(i_0_2436, lemma, (quasi_total(X1,empty_set,X2)|~quasi_total(X1,empty_set,X3)|~relation_of2_as_subset(X1,empty_set,X3)|~subset(X3,X2)|~function(X1))).
% 8.22/2.39 cnf(i_0_2256, plain, (X1=X2|in(esk393_2(X1,X2),X1)|in(esk393_2(X1,X2),X2))).
% 8.22/2.39 cnf(i_0_209, 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))))).
% 8.22/2.39 cnf(i_0_173, plain, (topological_space(X1)|element(esk28_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk27_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_172, plain, (topological_space(X1)|element(esk29_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk27_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_135, plain, (in(esk17_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_inverse_image(X1,X2)))).
% 8.22/2.39 cnf(i_0_229, plain, (X1=powerset(X2)|subset(esk43_2(X2,X1),X2)|in(esk43_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_1782, lemma, (in(X1,cartesian_product2(X2,X2))|~relation(X3)|~relation(X4)|~function(X3)|~in(X1,esk338_3(X2,X4,X3)))).
% 8.22/2.39 cnf(i_0_112, plain, (in(apply(X1,X2),X3)|~relation(X1)|~function(X1)|~in(X2,relation_inverse_image(X1,X3)))).
% 8.22/2.39 cnf(i_0_82, plain, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),identity_relation(X2)))).
% 8.22/2.39 cnf(i_0_1754, lemma, (closed_subset(esk326_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk325_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2452, plain, (epred1_0|in(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)),omega)|esk415_1(X1)!=X1|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_995, lemma, (X1=empty_set|in(esk175_2(X2,X1),X1)|esk171_0!=empty_set|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_2458, plain, (epred1_0|subset(X1,esk415_1(X1))|in(esk419_1(X2),esk418_0)|~in(X1,esk414_0)|~in(X2,esk418_0))).
% 8.22/2.39 cnf(i_0_2222, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|in(esk386_3(X2,X1,X3),X1)|~relation_of2_as_subset(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_2212, lemma, (in(apply(X1,X2),relation_dom(X3))|~relation(X3)|~relation(X1)|~function(X3)|~function(X1)|~in(X2,relation_dom(relation_composition(X1,X3))))).
% 8.22/2.39 cnf(i_0_1006, lemma, (in(X1,X2)|~relation(X3)|~relation(X4)|~function(X3)|~in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),esk176_3(X2,X4,X3)))).
% 8.22/2.39 cnf(i_0_1007, lemma, (in(X1,X2)|~relation(X3)|~relation(X4)|~function(X3)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),esk176_3(X2,X4,X3)))).
% 8.22/2.39 cnf(i_0_2267, lemma, (X1=empty_set|ordinal_subset(esk395_2(X1,X2),X3)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X3)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2229, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|in(esk388_3(X1,X2,X3),X2)|~relation_of2_as_subset(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_989, lemma, (X1=empty_set|in(esk175_2(X2,X1),X1)|esk173_0!=empty_set|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_1181, plain, (unordered_pair(esk205_2(X1,X2),esk205_2(X1,X2))=X2|esk203_1(X1)!=esk202_1(X1)|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_1235, plain, (esk214_3(X1,X2,X3)=X3|in(esk209_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1211, plain, (esk214_3(X1,X2,X3)=X3|in(esk211_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2466, plain, (epred1_0|subset(X1,esk419_1(X1))|in(esk415_1(X2),esk414_0)|~in(X2,esk414_0)|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2168, lemma, (relation_image(X1,set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2)))=relation_image(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2309, lemma, (in(set_union2(X1,unordered_pair(X1,X1)),X2)|~being_limit_ordinal(X2)|~ordinal(X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1274, plain, (subset(X1,X2)|esk228_2(X3,X1)!=esk227_2(X3,X1)|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk231_2(X3,X1)))).
% 8.22/2.39 cnf(i_0_1793, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk343_2(X3,X2)))).
% 8.22/2.39 cnf(i_0_297, plain, (X1=empty_set|in(esk64_3(X2,X3,X1),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 8.22/2.39 cnf(i_0_322, plain, (X1=union(X2)|in(esk74_2(X2,X1),X2)|in(esk73_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_928, lemma, (function(esk163_2(X1,X2))|in(esk160_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_929, lemma, (relation(esk163_2(X1,X2))|in(esk160_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2457, plain, (epred1_0|subset(X1,esk419_1(X1))|subset(X2,esk415_1(X2))|~in(X2,esk414_0)|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_323, plain, (X1=union(X2)|in(esk73_2(X2,X1),esk74_2(X2,X1))|in(esk73_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_349, plain, (in(apply(X1,X2),relation_rng(X1))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 8.22/2.39 cnf(i_0_2341, lemma, (subset_difference(X1,X1,meet_of_subsets(X1,X2))=union_of_subsets(X1,complements_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_2127, lemma, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))|~element(X2,powerset(the_carrier(X1)))|~in(X2,esk379_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_800, plain, (subset_intersection2(X1,X2,X3)=set_difference(X2,set_difference(X2,X3))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_058, plain, (being_limit_ordinal(omega))).
% 8.22/2.39 cnf(i_0_195, plain, (set_meet(empty_set)=empty_set)).
% 8.22/2.39 cnf(i_0_750, plain, (empty(esk132_1(X1)))).
% 8.22/2.39 cnf(i_0_767, plain, (empty(esk137_1(X1)))).
% 8.22/2.39 cnf(i_0_744, plain, (ordinal(esk132_1(X1)))).
% 8.22/2.39 cnf(i_0_746, plain, (epsilon_transitive(esk132_1(X1)))).
% 8.22/2.39 cnf(i_0_745, plain, (epsilon_connected(esk132_1(X1)))).
% 8.22/2.39 cnf(i_0_742, plain, (finite(esk132_1(X1)))).
% 8.22/2.39 cnf(i_0_810, plain, (subset(X1,X1))).
% 8.22/2.39 cnf(i_0_811, plain, (equipotent(X1,X1))).
% 8.22/2.39 cnf(i_0_560, plain, (function(identity_relation(X1)))).
% 8.22/2.39 cnf(i_0_748, plain, (function(esk132_1(X1)))).
% 8.22/2.39 cnf(i_0_2118, lemma, (function(esk376_1(X1)))).
% 8.22/2.39 cnf(i_0_482, plain, (relation(identity_relation(X1)))).
% 8.22/2.39 cnf(i_0_451, plain, (relation(inclusion_relation(X1)))).
% 8.22/2.39 cnf(i_0_749, plain, (relation(esk132_1(X1)))).
% 8.22/2.39 cnf(i_0_2119, lemma, (relation(esk376_1(X1)))).
% 8.22/2.39 cnf(i_0_2241, lemma, (relation(esk390_1(X1)))).
% 8.22/2.39 cnf(i_0_747, plain, (one_to_one(esk132_1(X1)))).
% 8.22/2.39 cnf(i_0_2381, lemma, (antisymmetric(inclusion_relation(X1)))).
% 8.22/2.39 cnf(i_0_2300, lemma, (transitive(inclusion_relation(X1)))).
% 8.22/2.39 cnf(i_0_2258, lemma, (reflexive(inclusion_relation(X1)))).
% 8.22/2.39 cnf(i_0_2259, lemma, (subset(empty_set,X1))).
% 8.22/2.39 cnf(i_0_512, plain, (element(esk108_1(X1),X1))).
% 8.22/2.39 cnf(i_0_2404, lemma, (relation_dom(identity_relation(X1))=X1)).
% 8.22/2.39 cnf(i_0_2117, lemma, (relation_dom(esk376_1(X1))=X1)).
% 8.22/2.39 cnf(i_0_2403, lemma, (relation_rng(identity_relation(X1))=X1)).
% 8.22/2.39 cnf(i_0_751, plain, (element(esk132_1(X1),powerset(X1)))).
% 8.22/2.39 cnf(i_0_768, plain, (element(esk137_1(X1),powerset(X1)))).
% 8.22/2.39 cnf(i_0_2344, plain, (set_difference(empty_set,X1)=empty_set)).
% 8.22/2.39 cnf(i_0_2203, plain, (set_union2(X1,empty_set)=X1)).
% 8.22/2.39 cnf(i_0_2296, plain, (set_difference(X1,empty_set)=X1)).
% 8.22/2.39 cnf(i_0_654, plain, (set_union2(X1,X1)=X1)).
% 8.22/2.39 cnf(i_0_2206, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))).
% 8.22/2.39 cnf(i_0_2157, lemma, (in(X1,esk380_1(X1)))).
% 8.22/2.39 cnf(i_0_2445, plain, (in(X1,esk412_1(X1)))).
% 8.22/2.39 cnf(i_0_359, plain, (in(empty_set,omega))).
% 8.22/2.39 cnf(i_0_2240, lemma, (well_orders(esk390_1(X1),X1))).
% 8.22/2.39 cnf(i_0_527, plain, (finite(unordered_pair(X1,X1)))).
% 8.22/2.39 cnf(i_0_715, plain, (function(esk123_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_762, plain, (function(esk135_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_716, plain, (relation(esk123_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_763, plain, (relation(esk135_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2415, lemma, (subset(X1,set_union2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2281, lemma, (subset(set_difference(X1,X2),X1))).
% 8.22/2.39 cnf(i_0_2254, plain, (set_difference(X1,X1)=empty_set)).
% 8.22/2.39 cnf(i_0_226, plain, (relation_field(inclusion_relation(X1))=X1)).
% 8.22/2.39 cnf(i_0_513, plain, (relation_of2_as_subset(esk109_2(X1,X2),X1,X2))).
% 8.22/2.39 cnf(i_0_714, plain, (quasi_total(esk123_2(X1,X2),X1,X2))).
% 8.22/2.39 cnf(i_0_511, plain, (relation_of2(esk107_2(X1,X2),X1,X2))).
% 8.22/2.39 cnf(i_0_717, plain, (relation_of2(esk123_2(X1,X2),X1,X2))).
% 8.22/2.39 cnf(i_0_764, plain, (relation_of2(esk135_2(X1,X2),X1,X2))).
% 8.22/2.39 cnf(i_0_2292, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))).
% 8.22/2.39 cnf(i_0_2305, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))).
% 8.22/2.39 cnf(i_0_2134, lemma, (in(X1,set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.39 cnf(i_0_252, plain, (in(X1,unordered_pair(X2,X1)))).
% 8.22/2.39 cnf(i_0_253, plain, (in(X1,unordered_pair(X1,X2)))).
% 8.22/2.39 cnf(i_0_145, plain, (in(X1,unordered_triple(X2,X3,X1)))).
% 8.22/2.39 cnf(i_0_146, plain, (in(X1,unordered_triple(X2,X1,X3)))).
% 8.22/2.39 cnf(i_0_147, plain, (in(X1,unordered_triple(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2411, lemma, (pair_first(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X1)).
% 8.22/2.39 cnf(i_0_2410, lemma, (pair_second(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X2)).
% 8.22/2.39 cnf(i_0_70, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 8.22/2.39 cnf(i_0_71, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 8.22/2.39 cnf(i_0_73, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))).
% 8.22/2.39 cnf(i_0_536, plain, (~empty(omega))).
% 8.22/2.39 cnf(i_0_709, plain, (~empty(esk120_0))).
% 8.22/2.39 cnf(i_0_711, plain, (~empty(esk121_0))).
% 8.22/2.39 cnf(i_0_723, plain, (~empty(esk124_0))).
% 8.22/2.39 cnf(i_0_766, plain, (~empty(esk136_0))).
% 8.22/2.39 cnf(i_0_772, plain, (~empty(esk139_0))).
% 8.22/2.39 cnf(i_0_782, plain, (~empty(esk142_0))).
% 8.22/2.39 cnf(i_0_785, plain, (~empty_carrier(esk144_0))).
% 8.22/2.39 cnf(i_0_660, plain, (~proper_s_178, plain, (topological_space(X1)|subset(esk27_1(X1),the_topology(X1))|element(esk28_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_177, plain, (topological_space(X1)|subset(esk27_1(X1),the_topology(X1))|element(esk29_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_350, plain, (apply(X1,esk77_3(X1,relation_rng(X1),X2))=X2|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.22/2.39 cnf(i_0_2339, 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))))).
% 8.22/2.39 cnf(i_0_1714, plain, (esk307_2(X1,X2)=esk305_2(X1,X2)|esk310_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1690, plain, (esk308_2(X1,X2)=esk306_2(X1,X2)|esk310_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2228, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(X4,esk388_3(X1,X2,X3)),unordered_pair(X4,X4)),X3))).
% 8.22/2.39 cnf(i_0_1245, plain, (esk206_1(X1)=esk207_1(X1)|in(esk215_3(X1,X2,X3),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2115, lemma, (X1=empty_set|ordinal(esk371_0)|in(esk375_2(X2,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_181, plain, (topological_space(X1)|element(esk27_1(X1),powerset(powerset(the_carrier(X1))))|in(esk28_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_180, plain, (topological_space(X1)|element(esk27_1(X1),powerset(powerset(the_carrier(X1))))|in(esk29_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_963, lemma, (function(esk168_2(X1,X2))|in(esk165_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_98, plain, (in(esk5_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 8.22/2.39 cnf(i_0_1221, plain, (esk206_1(X1)=esk208_1(X1)|in(esk215_3(X1,X2,X3),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1713, plain, (esk307_2(X1,X2)=esk305_2(X1,X2)|ordinal(esk311_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1689, plain, (esk308_2(X1,X2)=esk306_2(X1,X2)|ordinal(esk311_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1675, plain, (in(esk311_3(X1,X2,X3),X1)|esk306_2(X1,X2)!=esk305_2(X1,X2)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_866, lemma, (function(esk153_2(X1,X2))|empty(X1)|in(esk149_2(X1,X2),esk151_2(X1,X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_2124, lemma, (element(esk378_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk377_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2376, lemma, (apply(X1,apply(function_inverse(X1),X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.22/2.39 cnf(i_0_2375, lemma, (apply(relation_composition(function_inverse(X1),X1),X2)=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.22/2.39 cnf(i_0_351, plain, (in(esk77_3(X1,relation_rng(X1),X2),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.22/2.39 cnf(i_0_834, lemma, (function(esk153_2(X1,X2))|empty(X1)|in(esk150_2(X1,X2),esk152_2(X1,X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_1733, lemma, (empty(X1)|in(esk313_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk312_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1200, plain, (in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|esk208_1(X1)!=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2239, 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)))).
% 8.22/2.39 cnf(i_0_867, lemma, (relation(esk153_2(X1,X2))|empty(X1)|in(esk149_2(X1,X2),esk151_2(X1,X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_2480, plain, (X1=esk417_1(X2)|X2=empty_set|epred1_0|esk414_0!=empty_set|~subset(esk417_1(X2),X1)|~element(X2,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2107, lemma, (X1=empty_set|element(esk373_0,powerset(powerset(esk371_0)))|in(esk375_2(X2,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_2331, lemma, (in(X1,esk402_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~subset(X3,X1)|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_2126, lemma, (in(X1,esk379_2(X2,X3))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~element(X1,powerset(the_carrier(X2)))|~in(set_difference(cast_as_carrier_subset(X2),X1),X3))).
% 8.22/2.39 cnf(i_0_285, plain, (X1=X2|in(X1,X2)|in(X2,X1)|~epsilon_connected(X3)|~in(X2,X3)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_835, lemma, (relation(esk153_2(X1,X2))|empty(X1)|in(esk150_2(X1,X2),esk152_2(X1,X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_2439, lemma, (X1=empty_set|quasi_total(X2,X3,X4)|~quasi_total(X2,X3,X1)|~relation_of2_as_subset(X2,X3,X1)|~subset(X1,X4)|~function(X2))).
% 8.22/2.39 cnf(i_0_148, plain, (X1=X2|X1=X3|X1=X4|~in(X1,unordered_triple(X4,X3,X2)))).
% 8.22/2.39 cnf(i_0_1187, plain, (unordered_pair(esk205_2(X1,X2),esk205_2(X1,X2))=X2|in(esk201_1(X1),X1)|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_119, plain, (X1=topstr_closure(X2,X3)|in(esk12_3(X2,X3,X1),the_carrier(X2))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_1972, lemma, (function(esk364_2(X1,X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2036, lemma, (function(esk370_2(X1,X2))|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1973, lemma, (relation(esk364_2(X1,X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1744, lemma, (in(X1,esk320_1(X2))|esk323_3(X2,X1,X1)!=empty_set|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 8.22/2.39 cnf(i_0_215, plain, (X1=fiber(X2,X3)|in(esk39_3(X2,X3,X1),X1)|esk39_3(X2,X3,X1)!=X3|~relation(X2))).
% 8.22/2.39 cnf(i_0_2329, lemma, (X1=empty_set|in(X2,X3)|~quasi_total(X4,X3,X1)|~relation_of2_as_subset(X4,X3,X1)|~function(X4)|~in(X2,relation_inverse_image(X4,X5)))).
% 8.22/2.39 cnf(i_0_111, plain, (in(X1,relation_inverse_image(X2,X3))|~relation(X2)|~function(X2)|~in(apply(X2,X1),X3)|~in(X1,relation_dom(X2)))).
% 8.22/2.39 cnf(i_0_2242, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_2037, lemma, (relation(esk370_2(X1,X2))|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1003, lemma, (X1=empty_set|ordinal(esk171_0)|in(esk175_2(X2,X1),X1)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_1278, plain, (esk232_3(X1,X2,X3)=X3|esk228_2(X1,X2)!=esk227_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2454, plain, (X1=empty_set|epred1_0|in(esk417_1(X1),X1)|esk415_1(X2)!=X2|~element(X1,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X2,esk414_0))).
% 8.22/2.39 cnf(i_0_1956, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk355_1(X1)|function(esk358_1(X1)))).
% 8.22/2.39 cnf(i_0_91, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_dom_restriction(X3,X2)))).
% 8.22/2.39 cnf(i_0_105, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_rng_restriction(X2,X3)))).
% 8.22/2.39 cnf(i_0_199, plain, (X1=set_meet(X2)|X2=empty_set|in(esk36_2(X2,X1),X2)|~in(esk35_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_1352, plain, (esk238_3(X1,X2,X3)=X3|esk236_2(X1,X2)!=esk235_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2323, lemma, (element(esk401_3(X1,X2,X3),powerset(the_carrier(X1)))|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_1758, lemma, (in(X1,esk327_2(X2,X3))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~in(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_2109, lemma, (X1=empty_set|in(esk375_2(X2,X1),X1)|in(esk371_0,omega)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_1957, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk355_1(X1)|relation(esk358_1(X1)))).
% 8.22/2.39 cnf(i_0_363, plain, (X1=relation_rng(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,esk82_2(X2,X1)),unordered_pair(X3,X3)),X2)|~in(esk82_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_1014, plain, (empty(X1)|in(esk183_3(X1,X2,X3),X1)|esk179_2(X1,X2)!=esk178_2(X1,X2)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1718, plain, (esk311_3(X1,X2,X3)=X3|ordinal(esk307_2(X1,X2))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1694, plain, (esk311_3(X1,X2,X3)=X3|ordinal(esk308_2(X1,X2))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1720, plain, (esk310_3(X1,X2,X3)=X3|ordinal(esk307_2(X1,X2))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1776, lemma, (in(esk335_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk334_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_991, lemma, (X1=empty_set|element(esk173_0,powerset(powerset(esk171_0)))|in(esk175_2(X2,X1),X1)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_2219, 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))))).
% 8.22/2.39 cnf(i_0_2122, lemma, (closed_subset(esk378_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk377_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1948, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk356_1(X1)|function(esk358_1(X1)))).
% 8.22/2.39 cnf(i_0_1696, plain, (esk310_3(X1,X2,X3)=X3|ordinal(esk308_2(X1,X2))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2218, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(X3,relation_dom(relation_composition(X1,X2))))).
% 8.22/2.39 cnf(i_0_896, lemma, (in(esk156_1(X1),X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_1248, plain, (esk206_1(X1)=esk207_1(X1)|in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2035, lemma, (relation_dom(esk370_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_795, 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)))).
% 8.22/2.39 cnf(i_0_796, plain, (meet_commut(X1,X2,X3)=meet(X1,X2,X3)|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_171, plain, (topological_space(X1)|in(esk28_1(X1),the_topology(X1))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk27_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_1949, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk356_1(X1)|relation(esk358_1(X1)))).
% 8.22/2.39 cnf(i_0_817, lemma, (empty(X1)|in(X2,X1)|esk150_2(X1,X3)!=esk149_2(X1,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)),esk153_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_1070, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_407, plain, (X1=X2|apply(X3,X1)!=apply(X3,X2)|~one_to_one(X3)|~relation(X3)|~function(X3)|~in(X2,relation_dom(X3))|~in(X1,relation_dom(X3)))).
% 8.22/2.39 cnf(i_0_380, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk84_2(X1,X2),esk84_2(X1,X2)),unordered_pair(esk84_2(X1,X2),esk85_2(X1,X2))),X1))).
% 8.22/2.39 cnf(i_0_1224, plain, (esk206_1(X1)=esk208_1(X1)|in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk213_2(ubset(X1,X1))).
% 8.22/2.39 cnf(i_0_532, plain, (~empty(powerset(X1)))).
% 8.22/2.39 cnf(i_0_664, lemma, (unordered_pair(X1,X1)!=empty_set)).
% 8.22/2.39 cnf(i_0_614, plain, (~empty(unordered_pair(X1,X2)))).
% 8.22/2.39 cnf(i_0_228, plain, (~in(X1,empty_set))).
% 8.22/2.39 cnf(i_0_535, plain, (~empty(set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.39 cnf(i_0_2192, negated_conjecture, (~closed_subsets(complements_of_subsets(the_carrier(esk383_0),esk384_0),esk383_0)|~open_subsets(esk384_0,esk383_0))).
% 8.22/2.39 cnf(i_0_2191, negated_conjecture, (closed_subsets(complements_of_subsets(the_carrier(esk383_0),esk384_0),esk383_0)|open_subsets(esk384_0,esk383_0))).
% 8.22/2.39 cnf(i_0_40, plain, (v4_membered(X1)|~v5_membered(X1))).
% 8.22/2.39 cnf(i_0_43, plain, (relation(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_493, plain, (join_semilatt_str(X1)|~latt_str(X1))).
% 8.22/2.39 cnf(i_0_494, plain, (meet_semilatt_str(X1)|~latt_str(X1))).
% 8.22/2.39 cnf(i_0_492, plain, (one_sorted_str(X1)|~join_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_489, plain, (one_sorted_str(X1)|~meet_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_490, plain, (one_sorted_str(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_2384, lemma, (~subset(X1,X2)|~proper_subset(X2,X1))).
% 8.22/2.39 cnf(i_0_2477, plain, (epred1_0|esk414_0!=empty_set|esk418_0!=empty_set)).
% 8.22/2.39 cnf(i_0_2482, plain, (epred1_0|ordinal(esk416_0)|esk414_0!=empty_set)).
% 8.22/2.39 cnf(i_0_2409, plain, (~empty(X1)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_69, plain, (v1_membered(X1)|~v2_membered(X1))).
% 8.22/2.39 cnf(i_0_22, plain, (v1_membered(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_65, plain, (v2_membered(X1)|~v3_membered(X1))).
% 8.22/2.39 cnf(i_0_2398, plain, (X1=empty_set|~empty(X1))).
% 8.22/2.39 cnf(i_0_21, plain, (v2_membered(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_59, plain, (v3_membered(X1)|~v4_membered(X1))).
% 8.22/2.39 cnf(i_0_20, plain, (v3_membered(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_19, plain, (v4_membered(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_18, plain, (v5_membered(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_66, plain, (ordinal(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_68, plain, (epsilon_transitive(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_42, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_67, plain, (epsilon_connected(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_41, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_36, plain, (finite(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_38, plain, (cup_closed(X1)|~preboolean(X1))).
% 8.22/2.39 cnf(i_0_37, plain, (diff_closed(X1)|~preboolean(X1))).
% 8.22/2.39 cnf(i_0_39, plain, (function(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_2, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))).
% 8.22/2.39 cnf(i_0_61, plain, (natural(X1)|~element(X1,omega))).
% 8.22/2.39 cnf(i_0_62, plain, (ordinal(X1)|~element(X1,omega))).
% 8.22/2.39 cnf(i_0_64, plain, (epsilon_transitive(X1)|~element(X1,omega))).
% 8.22/2.39 cnf(i_0_63, plain, (epsilon_connected(X1)|~element(X1,omega))).
% 8.22/2.39 cnf(i_0_374, plain, (being_limit_ordinal(X1)|union(X1)!=X1)).
% 8.22/2.39 cnf(i_0_737, plain, (empty(X1)|~empty(esk129_1(X1)))).
% 8.22/2.39 cnf(i_0_774, plain, (empty(X1)|~empty(esk140_1(X1)))).
% 8.22/2.39 cnf(i_0_60, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 8.22/2.39 cnf(i_0_55, plain, (preboolean(X1)|~diff_closed(X1)|~cup_closed(X1))).
% 8.22/2.39 cnf(i_0_281, plain, (epsilon_connected(X1)|esk60_1(X1)!=esk59_1(X1))).
% 8.22/2.39 cnf(i_0_154, plain, (function(X1)|esk24_1(X1)!=esk23_1(X1))).
% 8.22/2.39 cnf(i_0_434, plain, (subset(X1,X2)|~proper_subset(X1,X2))).
% 8.22/2.39 cnf(i_0_807, plain, (equipotent(X1,X2)|~are_equipotent(X1,X2))).
% 8.22/2.39 cnf(i_0_2510, plain, (X1=X2|~epred2_3(X3,X2,X1))).
% 8.22/2.39 cnf(i_0_2304, lemma, (X1=empty_set|~subset(X1,empty_set))).
% 8.22/2.39 cnf(i_0_2204, plain, (element(X1,X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_240, plain, (empty_carrier_subset(X1)=empty_set|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_2505, plain, (X1=X2|~epred2_3(X2,X3,X1))).
% 8.22/2.39 cnf(i_0_50, plain, (natural(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_2298, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_375, plain, (union(X1)=X1|~being_limit_ordinal(X1))).
% 8.22/2.39 cnf(i_0_286, plain, (cast_as_carrier_subset(X1)=the_carrier(X1)|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_331, plain, (antisymmetric(X1)|~well_ordering(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_330, plain, (connected(X1)|~well_ordering(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_332, plain, (transitive(X1)|~well_ordering(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_329, plain, (well_founded_relation(X1)|~well_ordering(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_204, plain, (empty(the_carrier(X1))|~one_sorted_str(X1)|~empty_carrier(X1))).
% 8.22/2.39 cnf(i_0_2486, plain, (epred1_0|eX1,X2)))).
% 8.22/2.39 cnf(i_0_170, plain, (topological_space(X1)|in(esk29_1(X1),the_topology(X1))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk27_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_2048, lemma, (function(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2049, lemma, (relation(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_262, plain, (X1=empty_set|disjoint(fiber(X2,esk51_2(X2,X1)),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_1955, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk355_1(X1)|relation_dom(esk358_1(X1))=X1)).
% 8.22/2.39 cnf(i_0_379, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk84_2(X1,X2),esk85_2(X1,X2)),unordered_pair(esk85_2(X1,X2),esk85_2(X1,X2))),X1))).
% 8.22/2.39 cnf(i_0_420, plain, (is_transitive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk98_2(X1,X2),esk98_2(X1,X2)),unordered_pair(esk98_2(X1,X2),esk100_2(X1,X2))),X1))).
% 8.22/2.39 cnf(i_0_190, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk33_2(X1,X2),esk33_2(X1,X2)),unordered_pair(esk33_2(X1,X2),esk33_2(X1,X2))),X1))).
% 8.22/2.39 cnf(i_0_1233, plain, (in(esk215_3(X1,X2,X3),X1)|in(esk209_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1746, lemma, (in(X1,esk320_1(X2))|in(X1,omega)|~ordinal(X2)|~ordinal(X1)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 8.22/2.39 cnf(i_0_2489, plain, (X1=esk417_1(X2)|X2=empty_set|epred1_0|element(esk414_0,powerset(powerset(empty_set)))|~subset(esk417_1(X2),X1)|~element(X2,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_430, plain, (in(X1,complements_of_subsets(X2,X3))|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2))|~in(subset_complement(X2,X1),X3))).
% 8.22/2.39 cnf(i_0_1947, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk356_1(X1)|relation_dom(esk358_1(X1))=X1)).
% 8.22/2.39 cnf(i_0_2328, lemma, (X1=empty_set|in(apply(X2,X3),X4)|~quasi_total(X2,X5,X1)|~relation_of2_as_subset(X2,X5,X1)|~function(X2)|~in(X3,relation_inverse_image(X2,X4)))).
% 8.22/2.39 cnf(i_0_1719, plain, (ordinal(esk311_3(X1,X2,X3))|ordinal(esk307_2(X1,X2))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1695, plain, (ordinal(esk311_3(X1,X2,X3))|ordinal(esk308_2(X1,X2))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1209, plain, (in(esk215_3(X1,X2,X3),X1)|in(esk211_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_179, plain, (topological_space(X1)|element(esk27_1(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk28_1(X1),esk29_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_176, plain, (topological_space(X1)|subset(esk27_1(X1),the_topology(X1))|in(esk28_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_175, plain, (topological_space(X1)|subset(esk27_1(X1),the_topology(X1))|in(esk29_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_993, lemma, (X1=empty_set|in(esk175_2(X2,X1),X1)|in(esk171_0,omega)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_97, plain, (apply(X1,esk5_4(X1,X2,relation_image(X1,X2),X3))=X3|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 8.22/2.39 cnf(i_0_2247, lemma, (in(apply(esk392_1(X1),X2),X2)|in(esk391_1(X1),X1)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1732, lemma, (esk315_4(X1,X2,X3,X4)=esk313_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk312_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_348, plain, (X1=relation_rng(X2)|esk78_2(X2,X1)!=apply(X2,X3)|~relation(X2)|~function(X2)|~in(esk78_2(X2,X1),X1)|~in(X3,relation_dom(X2)))).
% 8.22/2.39 cnf(i_0_1013, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|empty(X1)|esk179_2(X1,X2)!=esk178_2(X1,X2)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_340, plain, (X1=set_difference(X2,X3)|in(esk76_3(X2,X3,X1),X1)|~in(esk76_3(X2,X3,X1),X3))).
% 8.22/2.39 cnf(i_0_1191, plain, (unordered_pair(esk201_1(X1),esk201_1(X1))=esk202_1(X1)|in(esk205_2(X1,X2),X1)|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_685, 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)))).
% 8.22/2.39 cnf(i_0_1001, lemma, (X1=empty_set|being_limit_ordinal(esk171_0)|in(esk175_2(X2,X1),X1)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_1337, plain, (subset(X1,X2)|element(esk229_2(X3,X1),powerset(the_carrier(X3)))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk231_2(X3,X1)))).
% 8.22/2.39 cnf(i_0_1302, plain, (subset(X1,X2)|element(esk230_2(X3,X1),powerset(the_carrier(X3)))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk231_2(X3,X1)))).
% 8.22/2.39 cnf(i_0_1186, plain, (in(unordered_pair(X1,X1),esk204_1(X2))|in(esk201_1(X2),X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1602, plain, (esk291_4(X1,X2,X3,X4)=X4|esk285_3(X1,X2,X3)!=esk284_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_128, plain, (in(X1,relation_image(X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X2)|~in(X4,X3))).
% 8.22/2.39 cnf(i_0_1185, plain, (unordered_pair(esk201_1(X1),esk201_1(X1))=esk203_1(X1)|in(esk205_2(X1,X2),X1)|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_1980, lemma, (function(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2044, lemma, (function(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1981, lemma, (relation(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2045, lemma, (relation(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_99, plain, (in(esk5_4(X1,X2,relation_image(X1,X2),X3),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 8.22/2.39 cnf(i_0_1229, plain, (unordered_pair(esk209_1(X1),esk209_1(X1))=esk210_1(X1)|esk214_3(X1,X2,X3)=X3|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_134, 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))).
% 8.22/2.39 cnf(i_0_217, plain, (X1=X2|in(X1,fiber(X3,X2))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3))).
% 8.22/2.39 cnf(i_0_1205, plain, (unordered_pair(esk211_1(X1),esk211_1(X1))=esk212_1(X1)|esk214_3(X1,X2,X3)=X3|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1277, plain, (element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|esk228_2(X1,X2)!=esk227_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1971, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2321, lemma, (subset(X1,esk401_3(X2,X1,X3))|in(X3,topstr_closure(X2,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,the_carrier(X2)))).
% 8.22/2.39 cnf(i_0_2322, lemma, (closed_subset(esk401_3(X1,X2,X3),X1)|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_663, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~reflexive(X2)|~relation(X2)|~in(X1,relation_field(X2)))).
% 8.22/2.39 cnf(i_0_2470, plain, (epred1_0|in(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)),omega)|in(esk415_1(X1),esk414_0)|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_225, plain, (subset(X1,X2)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),inclusion_relation(X3))|~in(X2,X3)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2469, plain, (epred1_0|element(esk418_0,powerset(powerset(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)))))|in(esk415_1(X1),esk414_0)|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_2460, plain, (epred1_0|subset(X1,esk415_1(X1))|element(esk418_0,powerset(powerset(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)))))|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_1506, plain, (in(esk269_3(X1,X2,X3),X2)|esk266_2(X1,X2)!=esk267_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2461, plain, (epred1_0|subset(X1,esk415_1(X1))|in(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)),omega)|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_1012, plain, (empty(X1)|in(X2,esk184_3(X1,X3,X2))|esk179_2(X1,X3)!=esk178_2(X1,X3)|~relation(X3)|~in(X2,esk182_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_683, 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))).
% 8.22/2.39 cnf(i_0_287, plain, (subset(X1,X2)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk61_2(X1,X2),esk61_2(X1,X2)),unordered_pair(esk61_2(X1,X2),esk62_2(X1,X2))),X2))).
% 8.22/2.39 cnf(i_0_1724, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|esk311_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1190, plain, (unordered_pair(esk201_1(X1),esk201_1(X1))=esk202_1(X1)|unordered_pair(esk205_2(X1,X2),esk205_2(X1,X2))=X2|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_1436, plain, (esk261_4(X1,X2,X3,X4)=X4|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1533, plain, (esk279_4(X1,X2,X3,X4)=X4|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1276, plain, (esk233_3(X1,X2,X3)=X3|esk228_2(X1,X2)!=esk227_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1184, plain, (unordered_pair(esk201_1(X1),esk201_1(X1))=esk203_1(X1)|unordered_pair(esk205_2(X1,X2),esk205_2(X1,X2))=X2|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_1700, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|esk311_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1712, plain, (esk307_2(X1,X2)=esk305_2(X1,X2)|esk311_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1688, plain, (esk308_2(X1,X2)=esk306_2(X1,X2)|esk311_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1726, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|esk310_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1702, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|esk310_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2316, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|in(esk400_2(X1,X2),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2104, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|esk373_0!=empty_set|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_431, plain, (in(subset_complement(X1,X2),X3)|~element(X3,powerset(powerset(X1)))|~in(X2,complements_of_subsets(X1,X3)))).
% 8.22/2.39 cnf(i_0_1189, plain, (unordered_pair(esk201_1(X1),esk201_1(X1))=esk202_1(X1)|in(unordered_pair(X2,X2),esk204_1(X1))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1236, plain, (in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk209_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1706, plain, (esk311_3(X1,X2,X3)=X3|in(esk307_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1682, plain, (esk311_3(X1,X2,X3)=X3|in(esk308_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1708, plain, (esk310_3(X1,X2,X3)=X3|in(esk307_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1684, plain, (esk310_3(X1,X2,X3)=X3|in(esk308_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1212, plain, (in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk211_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2099, lemma, (X1=empty_set|in(esk375_2(X2,X1),X1)|esk374_1(X3)!=X3|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk373_0)|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_411, plain, (jolement(esk414_0,powerset(powerset(empty_set)))|esk418_0!=empty_set)).
% 8.22/2.39 cnf(i_0_333, plain, (reflexive(X1)|~well_ordering(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1784, lemma, (ordinal(X1)|~in(X1,esk341_1(X2)))).
% 8.22/2.39 cnf(i_0_237, plain, (epsilon_transitive(X1)|~subset(esk46_1(X1),X1))).
% 8.22/2.39 cnf(i_0_616, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 8.22/2.39 cnf(i_0_574, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 8.22/2.39 cnf(i_0_203, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_773, plain, (finite(esk140_1(X1))|empty(X1))).
% 8.22/2.39 cnf(i_0_666, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2512, plain, (antisymmetric(X1)|~epred3_2(X1,X2)|~antisymmetric(X2))).
% 8.22/2.39 cnf(i_0_2513, plain, (connected(X1)|~epred3_2(X1,X2)|~connected(X2))).
% 8.22/2.39 cnf(i_0_2514, plain, (transitive(X1)|~epred3_2(X1,X2)|~transitive(X2))).
% 8.22/2.39 cnf(i_0_544, plain, (v1_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_543, plain, (v2_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_2511, plain, (well_founded_relation(X1)|~epred3_2(X1,X2)|~well_founded_relation(X2))).
% 8.22/2.39 cnf(i_0_2515, plain, (reflexive(X1)|~epred3_2(X1,X2)|~reflexive(X2))).
% 8.22/2.39 cnf(i_0_260, plain, (well_founded_relation(X1)|esk52_1(X1)!=empty_set|~relation(X1))).
% 8.22/2.39 cnf(i_0_638, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 8.22/2.39 cnf(i_0_542, plain, (v3_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_541, plain, (v4_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_540, plain, (v5_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_648, plain, (empty(relation_dom(X1))|~empty(X1))).
% 8.22/2.39 cnf(i_0_2388, lemma, (X1=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 8.22/2.39 cnf(i_0_645, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 8.22/2.39 cnf(i_0_570, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(cast_as_carrier_subset(X1)))).
% 8.22/2.39 cnf(i_0_790, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(esk146_1(X1)))).
% 8.22/2.39 cnf(i_0_650, plain, (empty(relation_rng(X1))|~empty(X1))).
% 8.22/2.39 cnf(i_0_545, plain, (empty(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_519, plain, (empty(relation_inverse(X1))|~empty(X1))).
% 8.22/2.39 cnf(i_0_628, plain, (ordinal(union(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2387, lemma, (X1=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 8.22/2.39 cnf(i_0_630, plain, (epsilon_transitive(union(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_808, plain, (are_equipotent(X1,X2)|~equipotent(X1,X2))).
% 8.22/2.39 cnf(i_0_680, lemma, (antisymmetric(X1)|esk116_1(X1)!=esk115_1(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_689, lemma, (connected(X1)|esk118_1(X1)!=esk117_1(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2392, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_629, plain, (epsilon_connected(union(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_505, plain, (function(the_L_join(X1))|~join_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_500, plain, (function(the_L_meet(X1))|~meet_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_152, plain, (function(esk21_1(X1))|~finite(X1))).
% 8.22/2.39 cnf(i_0_647, plain, (relation(relation_dom(X1))|~empty(X1))).
% 8.22/2.39 cnf(i_0_2422, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 8.22/2.39 cnf(i_0_649, plain, (relation(relation_rng(X1))|~empty(X1))).
% 8.22/2.39 cnf(i_0_518, plain, (relation(relation_inverse(X1))|~empty(X1))).
% 8.22/2.39 cnf(i_0_472, plain, (relation(relation_inverse(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_153, plain, (relation(esk21_1(X1))|~finite(X1))).
% 8.22/2.39 cnf(i_0_2346, lemma, (connected(inclusion_relation(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2400, lemma, (well_founded_relation(inclusion_relation(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2414, lemma, (well_ordering(inclusion_relation(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_501, plain, (element(the_topology(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1))).
% 8.22/2.39 cnf(i_0_2299, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_44, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 8.22/2.39 cnf(i_0_151, plain, (relation_rng(esk21_1(X1))=X1|~finite(X1))).
% 8.22/2.39 cnf(i_0_658, plain, (relation_inverse(relation_inverse(X1))=X1|~relation(X1))).
% 8.22/2.39 cnf(i_0_678, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)).
% 8.22/2.39 cnf(i_0_1785, lemma, (in(X1,X2)|~in(X1,esk341_1(X2)))).
% 8.22/2.39 cnf(i_0_887, lemma, (function(esk159_1(X1))|esk158_1(X1)!=esk157_1(X1))).
% 8.22/2.39 cnf(i_0_2136, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2))))).
% 8.22/2.39 cnf(i_0_888, lemma, (relation(esk159_1(X1))|esk158_1(X1)!=esk157_1(X1))).
% 8.22/2.39 cnf(i_0_445, plain, (element(empty_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_2389, lemma, (relation_dom(X1)=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 8.22/2.39 cnf(i_0_2417, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))).
% 8.22/2.39 cnf(i_0_282, plain, (epsilon_connected(X1)|~in(esk59_1(X1),esk60_1(X1)))).
% 8.22/2.39 cnf(i_0_280, plain, (epsilon_connected(X1)|~in(esk60_1(X1),esk59_1(X1)))).
% 8.22/2.39 cnf(i_0_56, plain, (one_to_one(X1)|~empty(X1))).
% 8.22/2.39 cnf(i_0_227, plain, (X1=empty_set|in(esk42_1(X1),X1))).
% 8.22/2.39 cnf(i_0_459, plain, (element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_2491, plain, (epred1_0|ordinal(esk416_0)|element(esk414_0,powerset(powerset(empty_set))))).
% 8.22/2.39 cnf(i_0_486, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_2474, plain, (epred1_0|esk414_0!=empty_set|esk419_1(X1)!=X1|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2390, lemma, (relation_rng(X1)=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 8.22/2.39 cnf(i_0_106, plain, (antisymmetric(X1)|~is_antisymmetric_in(X1,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_137, plain, (connected(X1)|~is_connected_in(X1,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_139, plain, (transitive(X1)|~is_transitive_in(X1,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2379, lemma, (well_founded_relation(X1)|~is_well_founded_in(X1,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2450, plain, (epred1_0|esk418_0!=empty_set|esk415_1(X1)!=X1|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_738, plain, (empty(X1)|element(esk129_1(X1),powerset(X1)))).
% 8.22/2.39 cnf(i_0_775, plain, (empty(X1)|element(esk140_1(X1),powerset(X1)))).
% 8.22/2.39 cnf(i_0_2416, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)).
% 8.22/2.39 cnf(i_0_2245, lemma, (esk391_1(X1)=empty_set|function(esk392_1(X1))|empty(X1))).
% 8.22/2.39 cnf(i_0_2282, lemma, (relation_rng(relation_inverse(X1))=relation_dom(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2427, lemma, (well_ordering(X1)|~well_orders(X1,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_436, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_1635, plain, (ordinal(X1)|esk296_0!=esk295_0|~in(X1,esk297_1(X2)))).
% 8.22/2.39 cnf(i_0_2283, lemma, (relation_dom(relation_inverse(X1))=relation_rng(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2135, lemma, (complements_of_subsets(X1,empty_set)=empty_set|~element(empty_set,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_740, plain, (element(esk130_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_771, plain, (element(esk138_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_2246, lemma, (esk391_1(X1)=empty_set|relation(esk392_1(X1))|empty(X1))).
% 8.22/2.39 cnf(i_0_2265, lemma, (ordinal(X1)|in(esk394_1(X1),X1))).
% 8.22/2.39 cnf(i_0_2129, plain, (disjoint(X1,X2)|~disjoint(X2,X1))).
% 8.22/2.39 cnf(i_0_2130, plain, (equipotent(X1,X2)|~equipotent(X2,X1))).
% 8.22/2.39 cnf(i_0_2297, lemma, (~in(X1,X2)|~in(X3,X1)|~in(X2,X3))).
% 8.22/2.39 cnf(i_0_2301, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_238, plain, (epsilon_transitive(X1)|in(esk46_1(X1),X1))).
% 8.22/2.39 cnf(i_0_793, plain, (element(esk147_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_3, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v1_membered(X2))).
% 8.22/2.39 cnf(i_0_5, plain, (v1_xcmplx_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_8, plain, (v1_xcmplx_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_2244, lemma, (relation_dom(esk392_1(X1))=X1|esk391_1(X1)=empty_set|empty(X1))).
% 8.22/2.39 cnf(i_0_284, plain, (epsilon_connected(X1)|in(esk59_1(X1),X1))).
% 8.22/2.39 cnf(i_0_803, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 8.22/2.39 cnf(i_0_83, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_2289, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))).
% 8.22/2.39 cnf(i_0_2290, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))).
% 8.22/2.39 cnf(i_0_283, plain, (epsilon_connected(X1)|in(esk60_1(X1),X1))).
% 8.22/2.39 cnf(i_0_12, plain, (v1_xcmplx_0(X1)|~v4_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_17, plain, (v1_xcmplx_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_4, plain, (v1_xreal_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_7, plain, (v1_xreal_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_290, plain, (subset(X1,X2)|~in(esk63_2(X1,X2),X2))).
% 8.22/2.39 cnf(i_0_2412, plain, (~in(X1,esk411_2(X2,X3))|~in(X2,X3)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_188, plain, (relation(X1)|in(esk32_1(X1),X1))).
% 8.22/2.39 cnf(i_0_11, plain, (v1_xreal_0(X1)|~v4_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_15, plain, (v1_xreal_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_6, plain, (v1_rat_1(X1)|~v3_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_9, plain, (v1_rat_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_2308, lemma, (being_limit_ordinal(X1)|ordinal(esk398_1(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_677, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_2347, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))).
% 8.22/2.39 cnf(i_0_13, plain, (v1_rat_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_10, plain, (v1_int_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_14, plain, (v1_int_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_16, plain, (natural(X1)|~v5_membered(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_246, plain, (empty(X1)|~empty(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_33, plain, (ordinal(X1)|~ordinal(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_2312, lemma, (being_limit_ordinal(X1)|ordinal(esk399_1(X1))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_601, plain, (v1_membered(set_difference(X1,X2))|~v1_membered(X1))).
% 8.22/2.39 cnf(i_0_2226, lemma, (ordinal(X1)|~ordinal(X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_35, plain, (epsilon_transitive(X1)|~ordinal(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_34, plain, (epsilon_connected(X1)|~ordinal(X2)|~element(X1,X2))).
% 8.22/2.39 cnf(i_0_2158, lemma, (finite(X1)|~subset(X1,X2)|~finite(X2))).
% 8.22/2.39 cnf(i_0_603, plain, (v1_membered(set_difference(X1,X2))|~v2_membered(X1))).
% 8.22/2.39 cnf(i_0_700, lemma, (element(X1,powerset(X2))|~in(esk119_2(X1,X2),X2))).
% 8.22/2.39 cnf(i_0_455, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_456, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_659, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_606, plain, (v1_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 8.22/2.39 cnf(i_0_371, plain, (is_antisymmetric_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_370, plain, (is_connected_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_372, plain, (is_transitive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_373, plain, (is_reflexive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_620, plain, (v1_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 8.22/2.39 cnf(i_0_245, plain, (element(X1,X2)|~empty(X2)|~empty(X1))).
% 8.22/2.39 cnf(i_0_2377, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_23, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v1_membered(X2))).
% 8.22/2.39 cnf(i_0_25, plain, (v1_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_625, plain, (v1_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 8.22/2.39 cnf(i_0_369, plain, (is_well_founded_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2264, lemma, (ordinal(X1)|~subset(esk394_1(X1),X1)|~ordinal(esk394_1(X1)))).
% 8.22/2.39 cnf(i_0_809, plain, (ordinal_subset(X1,X1)|~ordinal(X2)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_403, plain, (one_to_one(X1)|esk91_1(X1)!=esk90_1(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_602, plain, (v2_membered(set_difference(X1,X2))|~v2_membered(X1))).
% 8.22/2.39 cnf(i_0_28, plain, (v1_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_32, plain, (v1_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_49, plain, (v1_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_24, plain, (v2_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_605, plain, (v2_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 8.22/2.39 cnf(i_0_2151, lemma, (subset(relation_dom(X1),X2)|~relation_of2_as_subset(X1,X2,X3))).
% 8.22/2.39 cnf(i_0_2150, lemma, (subset(relation_rng(X1),X2)|~relation_of2_as_subset(X1,X3,X2))).
% 8.22/2.39 cnf(i_0_294, plain, (is_well_founded_in(X1,X2)|esk65_2(X1,X2)!=empty_set|~relation(X1))).
% 8.22/2.39 cnf(i_0_2446, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))).
% 8.22/2.39 cnf(i_0_619, plain, (v2_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 8.22/2.39 cnf(i_0_27, plain, (v2_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_31, plain, (v2_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_48, plain, (v2_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_26, plain, (v3_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_435, plain, (relation_inverse(X1)=function_inverse(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_624, plain, (v2_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 8.22/2.39 cnf(i_0_2429, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))).
% 8.22/2.39 cnf(i_0_2215, lemma, (in(X1,X2)|~epsilon_transitive(X1)|~ordinal(X2)|~proper_subset(X1,X2))).
% 8.22/2.39 cnf(i_0_806, plain, (subset(X1,X2)|~ordinal_subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_604, plain, (v3_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 8.22/2.39 cnf(i_0_618, plain, (v3_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 8.22/2.39 cnf(i_0_30, plain, (v3_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_47, plain, (v3_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_29, plain, (v4_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_46, plain, (v4_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_897, lemma, (function(esk159_1(X1))|in(esk156_1(X1),X1))).
% 8.22/2.39 cnf(i_0_623, plain, (v3_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 8.22/2.39 cnf(i_0_617, plain, (v4_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 8.22/2.39 cnf(i_0_622, plain, (v4_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 8.22/2.39 cnf(i_0_621, plain, (v5_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 8.22/2.39 cnf(i_0_520, plain, (finite(set_difference(X1,X2))|~finite(X1))).
% 8.22/2.39 cnf(i_0_485, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1))).
% 8.22/2.39 cnf(i_0_45, plain, (v5_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_54, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_487, plain, (relation(relation_rng_restriction(X1,X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_463, plain, (relation(relation_restriction(X1,X2))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2153, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_633, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2368, lemma, (~element(X1,powerset(X2))|~in(X3,subset_complement(X2,X1))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_239, plain, (subset(X1,X2)|~epsilon_transitive(X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_804, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 8.22/2.39 cnf(i_0_1651, plain, (esk294_0=esk295_0|ordinal(X1)|~in(X1,esk297_1(X2)))).
% 8.22/2.39 cnf(i_0_1643, plain, (esk294_0=esk296_0|ordinal(X1)|~in(X1,esk297_1(X2)))).
% 8.22/2.39 cnf(i_0_2455, plain, (epred1_0|ordinal(esk416_0)|esk415_1(X1)!=X1|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_468, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_898, lemma, (relation(esk159_1(X1))|in(esk156_1(X1),X1))).
% 8.22/2.39 cnf(i_0_401, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)).
% 8.22/2.39 cnf(i_0_2401, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))).
% 8.22/2.39 cnf(i_0_344, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2182, lemma, (closed_subsets(X1,X2)|~open_subsets(complements_of_subsets(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_479, plain, (element(union_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_483, plain, (element(meet_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_799, plain, (union_of_subsets(X1,X2)=union(X2)|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_1647, plain, (ordinal(esk295_0)|ordinal(X1)|~in(X1,esk297_1(X2)))).
% 8.22/2.39 cnf(i_0_1639, plain, (ordinal(esk296_0)|ordinal(X1)|~in(X1,esk297_1(X2)))).
% 8.22/2.39 cnf(i_0_696, lemma, (subset(X1,union(X2))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_338, plain, (function(esk75_2(X1,X2))|~equipotent(X1,X2))).
% 8.22/2.39 cnf(i_0_339, plain, (relation(esk75_2(X1,X2))|~equipotent(X1,X2))).
% 8.22/2.39 cnf(i_0_337, plain, (one_to_one(esk75_2(X1,X2))|~equipotent(X1,X2))).
% 8.22/2.39 cnf(i_0_2483, plain, (epred1_0|element(esk414_0,powerset(powerset(empty_set)))|esk419_1(X1)!=X1|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2170, lemma, (relation_image(X1,relation_dom(X1))=relation_rng(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_315, plain, (is_antisymmetric_in(X1,X2)|esk71_2(X1,X2)!=esk70_2(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_381, plain, (is_connected_in(X1,X2)|esk85_2(X1,X2)!=esk84_2(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2186, lemma, (in(X1,X2)|~relation(X2)|~in(X1,relation_restriction(X2,X3)))).
% 8.22/2.39 cnf(i_0_194, plain, (subset(X1,cartesian_product2(X2,X3))|~relation_of2(X1,X2,X3))).
% 8.22/2.39 cnf(i_0_739, plain, (open_subset(esk130_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_770, plain, (open_subset(esk138_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_637, plain, (closed_subset(cast_as_carrier_subset(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_769, plain, (closed_subset(esk138_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_607, plain, (function(relation_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_150, plain, (in(relation_dom(esk21_1(X1)),omega)|~finite(X1))).
% 8.22/2.39 cnf(i_0_805, plain, (ordinal_subset(X1,X2)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2385, lemma, (one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_432, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_2280, lemma, (apply(identity_relation(X1),X2)=X2|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_792, plain, (closed_subset(esk147_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_248, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 8.22/2.39 cnf(i_0_497, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 8.22/2.39 cnf(i_0_2307, lemma, (being_limit_ordinal(X1)|in(esk398_1(X1),X1)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2421, lemma, (subset(relation_dom_restriction(X1,X2),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_193, plain, (relation_of2(X1,X2,X3)|~subset(X1,cartesian_product2(X2,X3)))).
% 8.22/2.39 cnf(i_0_219, plain, (~relation(X1)|~in(X2,fiber(X1,X2)))).
% 8.22/2.39 cnf(i_0_107, plain, (is_antisymmetric_in(X1,relation_field(X1))|~antisymmetric(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2142, lemma, (subset(relation_rng_restriction(X1,X2),X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2160, lemma, (finite(X1)|~one_sorted_str(X2)|~finite(complements_of_subsets(the_carrier(X2),X1))|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_186, plain, (in(the_carrier(X1),the_topology(X1))|~topological_space(X1)|~top_str(X1))).
% 8.22/2.39 cnf(i_0_791, plain, (empty_carrier(X1)|element(esk146_1(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 8.22/2.39 cnf(i_0_138, plain, (is_connected_in(X1,relation_field(X1))|~connected(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_336, plain, (relation_dom(esk75_2(X1,X2))=X1|~equipotent(X1,X2))).
% 8.22/2.39 cnf(i_0_140, plain, (is_transitive_in(X1,relation_field(X1))|~transitive(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_437, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2380, lemma, (is_well_founded_in(X1,relation_field(X1))|~well_founded_relation(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2426, lemma, (well_orders(X1,relation_field(X1))|~well_ordering(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_335, plain, (relation_rng(esk75_2(X1,X2))=X2|~equipotent(X1,X2))).
% 8.22/2.39 cnf(i_0_2345, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_516, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 8.22/2.39 cnf(i_0_653, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 8.22/2.39 cnf(i_0_2249, lemma, (function(esk392_1(X1))|empty(X1)|in(esk391_1(X1),X1))).
% 8.22/2.39 cnf(i_0_651, plain, (finite(set_union2(X1,X2))|~finite(X2)|~finite(X1))).
% 8.22/2.39 cnf(i_0_626, plain, (function(relation_dom_restriction(X1,X2))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_635, plain, (function(relation_rng_restriction(X1,X2))|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_571, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_613, plain, (relation(set_difference(X1,X2))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_515, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 8.22/2.39 cnf(i_0_2250, lemma, (relation(esk392_1(X1))|empty(X1)|in(esk391_1(X1),X1))).
% 8.22/2.39 cnf(i_0_366, plain, (set_difference(X1,X2)=subset_complement(X1,X2)|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_652, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 8.22/2.39 cnf(i_0_477, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2235, lemma, (antisymmetric(relation_restriction(X1,X2))|~antisymmetric(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2230, lemma, (connected(relation_restriction(X1,X2))|~connected(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2232, lemma, (transitive(relation_restriction(X1,X2))|~transitive(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2266, lemma, (well_founded_relation(relation_restriction(X1,X2))|~well_founded_relation(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2270, lemma, (well_ordering(relation_restriction(X1,X2))|~well_ordering(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2223, lemma, (reflexive(relation_restriction(X1,X2))|~reflexive(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2370, lemma, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_525, plain, (relation_empty_yielding(relation_dom_restriction(X1,X2))|~relation_empty_yielding(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2420, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_dom(relation_dom_restriction(X3,X2))))).
% 8.22/2.39 cnf(i_0_2200, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_field(relation_restriction(X3,X2))))).
% 8.22/2.39 cnf(i_0_2432, lemma, (relation_composition(identity_relation(X1),X2)=relation_dom_restriction(X2,X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_481, plain, (element(topstr_closure(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_449, plain, (element(interior(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2183, 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)))))).
% 8.22/2.39 cnf(i_0_2155, lemma, (in(powerset(X1),esk380_1(X2))|~in(X1,esk380_1(X2)))).
% 8.22/2.39 cnf(i_0_2310, lemma, (~being_limit_ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_667, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))).
% 8.22/2.39 cnf(i_0_2140, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_rng(relation_rng_restriction(X2,X3))))).
% 8.22/2.39 cnf(i_0_981, lemma, (ordinal(esk170_1(X1))|~ordinal(X2)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_2238, lemma, (finite(relation_rng(X1))|~relation(X1)|~function(X1)|~finite(relation_dom(X1)))).
% 8.22/2.39 cnf(i_0_1783, lemma, (in(X1,esk341_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_291, plain, (subset(X1,X2)|in(esk63_2(X1,X2),X1))).
% 8.22/2.39 cnf(i_0_801, plain, (meet_of_subsets(X1,X2)=set_meet(X2)|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_2159, lemma, (finite(complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~finite(X2)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1636, plain, (esk298_2(X1,X2)=X2|esk296_0!=esk295_0|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_361, plain, (in(X1,the_topology(X2))|~open_subset(X1,X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_2371, lemma, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2302, lemma, (disjoint(X1,X2)|in(esk397_2(X1,X2),X2))).
% 8.22/2.39 cnf(i_0_292, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2205, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_2386, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_2236, lemma, (well_ordering(relation_restriction(X1,X2))|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2303, lemma, (disjoint(X1,X2)|in(esk397_2(X1,X2),X1))).
% 8.22/2.39 cnf(i_0_2378, lemma, (empty_carrier(X1)|~is_a_cover_of_carrier(X1,empty_set)|~one_sorted_str(X1)|~element(empty_set,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1749, lemma, (esk321_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk320_1(X1)))).
% 8.22/2.39 cnf(i_0_2248, lemma, (relation_dom(esk392_1(X1))=X1|empty(X1)|in(esk391_1(X1),X1))).
% 8.22/2.39 cnf(i_0_701, lemma, (element(X1,powerset(X2))|in(esk119_2(X1,X2),X1))).
% 8.22/2.39 cnf(i_0_1740, lemma, (in(X1,cartesian_product2(X2,X3))|~in(X1,esk317_2(X2,X3)))).
% 8.22/2.39 cnf(i_0_328, plain, (well_ordering(X1)|~reflexive(X1)|~well_founded_relation(X1)|~transitive(X1)|~connected(X1)|~antisymmetric(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_208, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))).
% 8.22/2.39 cnf(i_0_2413, plain, (in(esk411_2(X1,X2),X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_673, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_210, plain, (open_subsets(X1,X2)|~open_subset(esk38_2(X2,X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_255, plain, (closed_subsets(X1,X2)|~closed_subset(esk50_2(X2,X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_378, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2508, plain, (esk420_3(X1,X2,X3)=X2|~epred2_3(X3,X2,X1))).
% 8.22/2.39 cnf(i_0_2187, lemma, (X1=empty_set|relation_inverse_image(X2,X1)!=empty_set|~subset(X1,relation_rng(X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_398, plain, (one_to_one(X1)|~relation_isomorphism(X2,X3,X1)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2503, plain, (esk422_3(X1,X2,X3)=X3|~epred2_3(X3,X2,X1))).
% 8.22/2.39 cnf(i_0_231, plain, (in(X1,powerset(X2))|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_360, plain, (open_subset(X1,X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X1,the_topology(X2)))).
% 8.22/2.39 cnf(i_0_232, plain, (subset(X1,X2)|~in(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_1652, plain, (esk298_2(X1,X2)=X2|esk294_0=esk295_0|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_691, lemma, (connected(X1)|in(esk117_1(X1),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_1644, plain, (esk298_2(X1,X2)=X2|esk294_0=esk296_0|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_2447, plain, (epred1_0|esk415_1(X1)!=X1|esk419_1(X2)!=X2|~in(X1,esk414_0)|~in(X2,esk418_0))).
% 8.22/2.39 cnf(i_0_2352, lemma, (topstr_closure(X1,X2)=X2|~closed_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_679, lemma, (in(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2340, lemma, (subset(X1,topstr_closure(X2,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_2319, lemma, (subset(interior(X1,X2),X2)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_690, lemma, (connected(X1)|in(esk118_1(X1),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2166, lemma, (subset(relation_image(X1,X2),relation_rng(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_524, plain, (finite(relation_image(X1,X2))|~relation(X1)|~function(X1)|~finite(X2))).
% 8.22/2.39 cnf(i_0_1750, lemma, (ordinal(esk321_2(X1,X2))|~ordinal(X1)|~in(X2,esk320_1(X1)))).
% 8.22/2.39 cnf(i_0_2180, lemma, (subset(relation_inverse_image(X1,X2),relation_dom(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2137, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))).
% 8.22/2.39 cnf(i_0_657, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_261, plain, (well_founded_relation(X1)|subset(esk52_1(X1),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2391, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))).
% 8.22/2.39 cnf(i_0_676, lemma, (relation(esk114_2(X1,X2))|~equipotent(X1,relation_field(X2))|~well_ordering(X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2509, plain, (ordinal(esk420_3(X1,X2,X3))|~epred2_3(X3,X2,X1))).
% 8.22/2.39 cnf(i_0_2504, plain, (ordinal(esk422_3(X1,X2,X3))|~epred2_3(X3,X2,X1))).
% 8.22/2.39 cnf(i_0_187, plain, (relation(X1)|esk32_1(X1)!=unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))).
% 8.22/2.39 cnf(i_0_402, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))).
% 8.22/2.39 cnf(i_0_1648, plain, (esk298_2(X1,X2)=X2|ordinal(esk295_0)|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_1640, plain, (esk298_2(X1,X2)=X2|ordinal(esk296_0)|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_2468, plain, (epred1_0|in(esk415_1(X1),esk414_0)|esk418_0!=empty_set|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_2476, plain, (epred1_0|in(esk419_1(X1),esk418_0)|esk414_0!=empty_set|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_662, lemma, (reflexive(X1)|in(esk110_1(X1),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_352, plain, (X1=omega|~being_limit_ordinal(X1)|~subset(X1,esk80_1(X1))|~ordinal(X1)|~in(empty_set,X1))).
% 8.22/2.39 cnf(i_0_2257, plain, (X1=X2|~in(esk393_2(X1,X2),X2)|~in(esk393_2(X1,X2),X1))).
% 8.22/2.39 cnf(i_0_267, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2459, plain, (epred1_0|subset(X1,esk415_1(X1))|esk418_0!=empty_set|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_2475, plain, (epred1_0|subset(X1,esk419_1(X1))|esk414_0!=empty_set|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_410, plain, (meet_absorbing(X1)|empty_carrier(X1)|element(esk92_1(X1),the_carrier(X1))|~latt_str(X1))).
% 8.22/2.39 cnf(i_0_409, plain, (meet_absorbing(X1)|empty_carrier(X1)|element(esk93_1(X1),the_carrier(X1))|~latt_str(X1))).
% 8.22/2.39 cnf(i_0_902, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk157_1(X1)|function(esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_2251, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_268, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_345, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))).
% 8.22/2.39 cnf(i_0_665, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2237, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_orders(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2125, lemma, (element(esk377_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2334, lemma, (element(esk402_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2351, lemma, (closed_subset(X1,X2)|topstr_closure(X2,X1)!=X1|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_903, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk157_1(X1)|relation(esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_259, plain, (well_founded_relation(X1)|~disjoint(fiber(X1,X2),esk52_1(X1))|~relation(X1)|~in(X2,esk52_1(X1)))).
% 8.22/2.39 cnf(i_0_2419, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(X1,relation_dom(relation_dom_restriction(X2,X3))))).
% 8.22/2.39 cnf(i_0_2201, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(X1,relation_field(relation_restriction(X2,X3))))).
% 8.22/2.39 cnf(i_0_2139, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(X1,relation_rng(relation_rng_restriction(X3,X2))))).
% 8.22/2.39 cnf(i_0_2209, lemma, (subset(relation_field(relation_restriction(X1,X2)),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2141, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_552, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v1_membered(X2))).
% 8.22/2.39 cnf(i_0_576, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X2))).
% 8.22/2.39 cnf(i_0_892, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk158_1(X1)|function(esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_980, lemma, (in(esk170_1(X1),X1)|~ordinal(X2)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_356, plain, (subset(omega,X1)|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 8.22/2.39 cnf(i_0_582, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))).
% 8.22/2.39 cnf(i_0_590, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 8.22/2.39 cnf(i_0_893, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk158_1(X1)|relation(esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_600, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 8.22/2.39 cnf(i_0_575, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X2))).
% 8.22/2.39 cnf(i_0_581, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))).
% 8.22/2.39 cnf(i_0_2473, plain, (epred1_0|ordinal(esk416_0)|in(esk415_1(X1),esk414_0)|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_589, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 8.22/2.39 cnf(i_0_797, plain, (relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)|~relation_of2(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_798, plain, (relation_rng_as_subset(X1,X2,X3)=relation_rng(X3)|~relation_of2(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_2369, lemma, (well_ordering(X1)|~relation_isomorphism(X2,X1,X3)|~well_ordering(X2)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 8.22/2.39 cnf(i_0_149, plain, (finite(relation_rng(X1))|~relation(X1)|~function(X1)|~in(relation_dom(X1),omega))).
% 8.22/2.39 cnf(i_0_599, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 8.22/2.39 cnf(i_0_580, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))).
% 8.22/2.39 cnf(i_0_76, plain, (ordinal_subset(X1,X2)|ordinal_subset(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2271, lemma, (in(X1,X2)|~ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_1940, lemma, (function(esk358_1(X1))|esk356_1(X1)!=esk355_1(X1))).
% 8.22/2.39 cnf(i_0_1941, lemma, (relation(esk358_1(X1))|esk356_1(X1)!=esk355_1(X1))).
% 8.22/2.39 cnf(i_0_588, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 8.22/2.39 cnf(i_0_598, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 8.22/2.39 cnf(i_0_587, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 8.22/2.39 cnf(i_0_533, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.22/2.39 cnf(i_0_2288, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X2,X3)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2428, lemma, (subset(set_union2(X1,X2),X3)|~subset(X2,X3)|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_597, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 8.22/2.39 cnf(i_0_596, plain, (v5_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 8.22/2.39 cnf(i_0_609, plain, (ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_611, plain, (epsilon_transitive(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_610, plain, (epsilon_connected(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_514, plain, (finite(set_difference(X1,set_difference(X1,X2)))|~finite(X2))).
% 8.22/2.39 cnf(i_0_2128, lemma, (element(esk379_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_413, 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)))))).
% 8.22/2.39 cnf(i_0_412, 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)))))).
% 8.22/2.39 cnf(i_0_2252, lemma, (closed_subset(X1,X2)|~open_subset(subset_complement(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_2464, plain, (epred1_0|subset(X1,esk415_1(X1))|ordinal(esk416_0)|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_2199, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X1))=relation_restriction(X2,X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2172, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(relation_rng(X1),X3))).
% 8.22/2.39 cnf(i_0_160, 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))).
% 8.22/2.39 cnf(i_0_1008, lemma, (relation(esk176_3(X1,X2,X3))|~relation(X3)|~relation(X2)|~function(X3))).
% 8.22/2.39 cnf(i_0_2195, lemma, (relation_dom_restriction(relation_rng_restriction(X1,X2),X1)=relation_restriction(X2,X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_473, plain, (element(relation_dom_as_subset(X1,X2,X3),powerset(X1))|~relation_of2(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_478, plain, (element(relation_rng_as_subset(X1,X2,X3),powerset(X2))|~relation_of2(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_656, plain, (subset_intersection2(X1,X2,X2)=X2|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_480, plain, (element(subset_intersection2(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_2181, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(X4,X3))).
% 8.22/2.39 cnf(i_0_1791, lemma, (esk344_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk343_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1637, plain, (in(esk298_2(X1,X2),X1)|esk296_0!=esk295_0|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_695, lemma, (X1=unordered_pair(X2,X2)|X1=empty_set|~subset(X1,unordered_pair(X2,X2)))).
% 8.22/2.39 cnf(i_0_484, plain, (element(subset_difference(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_212, plain, (open_subsets(X1,X2)|element(esk38_2(X2,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_257, plain, (closed_subsets(X1,X2)|element(esk50_2(X2,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_406, plain, (one_to_one(X1)|in(esk90_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2216, lemma, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1))).
% 8.22/2.39 cnf(i_0_1257, plain, (esk222_2(X1,X2)=X2|esk218_1(X1)!=esk219_1(X1)|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_1259, plain, (esk221_2(X1,X2)=X2|esk218_1(X1)!=esk219_1(X1)|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_818, lemma, (function(esk153_2(X1,X2))|empty(X1)|esk150_2(X1,X2)!=esk149_2(X1,X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_668, lemma, (subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_646, plain, (open_subset(interior(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_573, plain, (closed_subset(topstr_closure(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_355, plain, (X1=omega|ordinal(esk80_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 8.22/2.39 cnf(i_0_405, plain, (one_to_one(X1)|in(esk91_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2210, lemma, (subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_819, lemma, (relation(esk153_2(X1,X2))|empty(X1)|esk150_2(X1,X2)!=esk149_2(X1,X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2442, plain, (in(X1,esk413_2(X2,X3))|~subset(X1,X3)|~in(X3,esk412_1(X2)))).
% 8.22/2.39 cnf(i_0_230, plain, (X1=powerset(X2)|~subset(esk43_2(X2,X1),X2)|~in(esk43_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_1792, lemma, (ordinal(esk344_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk343_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2433, lemma, (subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_353, plain, (X1=omega|being_limit_ordinal(esk80_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 8.22/2.39 cnf(i_0_2269, lemma, (X1=empty_set|ordinal(esk395_2(X1,X2))|~subset(X1,X2)|~ordinal(X2))).
% 8.22/2.39 cnf(i_0_2485, plain, (epred1_0|element(esk414_0,powerset(powerset(empty_set)))|in(esk419_1(X1),esk418_0)|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2484, plain, (epred1_0|subset(X1,esk419_1(X1))|element(esk414_0,powerset(powerset(empty_set)))|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2231, lemma, (X1=X2|in(X1,X2)|in(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_2143, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_250, plain, (X1=unordered_pair(X2,X3)|esk49_3(X2,X3,X1)!=X3|~in(esk49_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_251, plain, (X1=unordered_pair(X2,X3)|esk49_3(X2,X3,X1)!=X2|~in(esk49_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1258, plain, (ordinal(esk222_2(X1,X2))|esk218_1(X1)!=esk219_1(X1)|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_1738, lemma, (in(esk318_3(X1,X2,X3),X1)|~in(X3,esk317_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_319, plain, (is_antisymmetric_in(X1,X2)|in(esk70_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2174, lemma, (subset_intersection2(the_carrier(X1),X2,cast_as_carrier_subset(X1))=X2|~one_sorted_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2478, plain, (epred1_0|element(esk418_0,powerset(powerset(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)))))|esk414_0!=empty_set)).
% 8.22/2.39 cnf(i_0_2443, plain, (in(esk413_2(X1,X2),esk412_1(X1))|~in(X2,esk412_1(X1)))).
% 8.22/2.39 cnf(i_0_555, plain, (natural(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~natural(X1))).
% 8.22/2.39 cnf(i_0_254, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X3,X2)))).
% 8.22/2.39 cnf(i_0_2306, lemma, (being_limit_ordinal(X1)|~ordinal(X1)|~in(set_union2(esk398_1(X1),unordered_pair(esk398_1(X1),esk398_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_2353, lemma, (epred3_2(X1,X2)|~relation_isomorphism(X2,X1,X3)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 8.22/2.39 cnf(i_0_698, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))).
% 8.22/2.39 cnf(i_0_318, plain, (is_antisymmetric_in(X1,X2)|in(esk71_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_546, plain, (relation(set_difference(X1,set_difference(X1,X2)))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_383, plain, (is_connected_in(X1,X2)|in(esk84_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_699, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))).
% 8.22/2.39 cnf(i_0_1939, lemma, (relation_dom(esk358_1(X1))=X1|esk356_1(X1)!=esk355_1(X1))).
% 8.22/2.39 cnf(i_0_382, plain, (is_connected_in(X1,X2)|in(esk85_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1753, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk325_2(X3,X1)))).
% 8.22/2.39 cnf(i_0_1653, plain, (esk294_0=esk295_0|in(esk298_2(X1,X2),X1)|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_1645, plain, (esk294_0=esk296_0|in(esk298_2(X1,X2),X1)|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_802, plain, (subset_difference(X1,X2,X3)=set_difference(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_425, plain, (is_transitive_in(X1,X2)|in(esk98_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_325, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_302, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))).
% 8.22/2.39 cnf(i_0_424, plain, (is_transitive_in(X1,X2)|in(esk99_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_423, plain, (is_transitive_in(X1,X2)|in(esk100_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_191, plain, (is_reflexive_in(X1,X2)|in(esk33_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_295, plain, (is_well_founded_in(X1,X2)|subset(esk65_2(X1,X2),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1757, lemma, (in(X1,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~in(X1,esk325_2(X2,X3)))).
% 8.22/2.39 cnf(i_0_2116, lemma, (apply(esk376_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_159, plain, (X1=empty_set|X2=empty_set|~quasi_total(X2,X1,empty_set)|~relation_of2_as_subset(X2,X1,empty_set))).
% 8.22/2.39 cnf(i_0_2479, plain, (epred1_0|in(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)),omega)|esk414_0!=empty_set)).
% 8.22/2.39 cnf(i_0_914, lemma, (function(esk163_2(X1,X2))|esk161_2(X1,X2)!=esk162_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_949, lemma, (function(esk168_2(X1,X2))|esk166_2(X1,X2)!=esk167_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_915, lemma, (relation(esk163_2(X1,X2))|esk161_2(X1,X2)!=esk162_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_950, lemma, (relation(esk168_2(X1,X2))|esk166_2(X1,X2)!=esk167_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2145, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_2156, lemma, (in(X1,esk380_1(X2))|~subset(X1,X3)|~in(X3,esk380_1(X2)))).
% 8.22/2.39 cnf(i_0_2444, plain, (in(X1,esk412_1(X2))|~subset(X1,X3)|~in(X3,esk412_1(X2)))).
% 8.22/2.39 cnf(i_0_1199, plain, (esk214_3(X1,X2,X3)=X3|esk208_1(X1)!=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2234, lemma, (subset(relation_dom(X1),relation_dom(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2144, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))).
% 8.22/2.39 cnf(i_0_2262, lemma, (open_subset(X1,X2)|~closed_subset(subset_complement(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_1760, lemma, (in(X1,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,esk327_2(X2,X3)))).
% 8.22/2.39 cnf(i_0_2253, lemma, (open_subset(subset_complement(the_carrier(X1),X2),X1)|~closed_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_211, plain, (open_subsets(X1,X2)|in(esk38_2(X2,X1),X1)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_2273, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_2233, lemma, (subset(relation_rng(X1),relation_rng(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_675, lemma, (well_orders(esk114_2(X1,X2),X1)|~equipotent(X1,relation_field(X2))|~well_ordering(X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_400, plain, (relation_field(X1)=relation_dom(X2)|~relation_isomorphism(X1,X3,X2)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_399, plain, (relation_rng(X1)=relation_field(X2)|~relation_isomorphism(X3,X2,X1)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_256, plain, (closed_subsets(X1,X2)|in(esk50_2(X2,X1),X1)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 8.22/2.39 cnf(i_0_1649, plain, (ordinal(esk295_0)|in(esk298_2(X1,X2),X1)|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_1641, plain, (ordinal(esk296_0)|in(esk298_2(X1,X2),X1)|~in(X2,esk297_1(X1)))).
% 8.22/2.39 cnf(i_0_503, plain, (relation_of2_as_subset(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_304, plain, (apply(X1,X2)=empty_set|in(X2,relation_dom(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2175, lemma, (relation_rng(relation_composition(X1,X2))=relation_image(X2,relation_rng(X1))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_293, plain, (is_well_founded_in(X1,X2)|~disjoint(fiber(X1,X3),esk65_2(X1,X2))|~relation(X1)|~in(X3,esk65_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_162, plain, (X1=empty_set|quasi_total(X2,X3,X1)|relation_dom_as_subset(X3,X1,X2)!=X3|~relation_of2_as_subset(X2,X3,X1))).
% 8.22/2.39 cnf(i_0_2291, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_ordering(X1)|~subset(X2,relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2161, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X3))=relation_dom_restriction(relation_rng_restriction(X1,X2),X3)|~relation(X2))).
% 8.22/2.39 cnf(i_0_498, plain, (relation_of2_as_subset(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_504, plain, (quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_499, plain, (quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))).
% 8.22/2.39 cnf(i_0_2198, lemma, (X1=empty_set|in(esk385_2(X2,X1),X1)|~finite(X2)|~element(X1,powerset(powerset(X2))))).
% 8.22/2.39 cnf(i_0_200, plain, (X1=empty_set|in(X2,set_meet(X1))|~in(X2,esk34_3(X1,set_meet(X1),X2)))).
% 8.22/2.39 cnf(i_0_368, plain, (well_orders(X1,X2)|~is_well_founded_in(X1,X2)|~is_reflexive_in(X1,X2)|~is_transitive_in(X1,X2)|~is_connected_in(X1,X2)|~is_antisymmetric_in(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2208, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 8.22/2.39 cnf(i_0_2154, lemma, (are_equipotent(X1,esk380_1(X2))|in(X1,esk380_1(X2))|~subset(X1,esk380_1(X2)))).
% 8.22/2.39 cnf(i_0_376, 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))))).
% 8.22/2.39 cnf(i_0_2313, lemma, (disjoint(X1,X2)|~subset(X1,subset_complement(X3,X2))|~element(X2,powerset(X3))|~element(X1,powerset(X3)))).
% 8.22/2.39 cnf(i_0_2441, plain, (are_equipotent(X1,esk412_1(X2))|in(X1,esk412_1(X2))|~subset(X1,esk412_1(X2)))).
% 8.22/2.39 cnf(i_0_354, plain, (X1=omega|in(empty_set,esk80_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 8.22/2.39 cnf(i_0_327, plain, (in(X1,esk72_3(X2,union(X2),X1))|~in(X1,union(X2)))).
% 8.22/2.39 cnf(i_0_326, plain, (in(esk72_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
% 8.22/2.39 cnf(i_0_2260, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 8.22/2.39 cnf(i_0_2261, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 8.22/2.39 cnf(i_0_2207, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 8.22/2.39 cnf(i_0_206, plain, (X1=unordered_pair(X2,X2)|esk37_2(X2,X1)!=X2|~in(esk37_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_2268, lemma, (X1=empty_set|in(esk395_2(X1,X2),X1)|~subset(X1,X2)|~ordinal(X2))).
% 8.22/2.39 cnf(i_0_2487, plain, (epred1_0|element(esk418_0,powerset(powerset(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)))))|element(esk414_0,powerset(powerset(empty_set))))).
% 8.22/2.39 cnf(i_0_1964, lemma, (function(esk358_1(X1))|in(esk354_1(X1),X1))).
% 8.22/2.39 cnf(i_0_1965, lemma, (relation(esk358_1(X1))|in(esk354_1(X1),X1))).
% 8.22/2.39 cnf(i_0_2185, lemma, (in(X1,cartesian_product2(X2,X2))|~relation(X3)|~in(X1,relation_restriction(X3,X2)))).
% 8.22/2.39 cnf(i_0_1790, lemma, (in(esk344_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk343_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2163, lemma, (in(esk381_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 8.22/2.39 cnf(i_0_2177, lemma, (in(esk382_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 8.22/2.39 cnf(i_0_2318, lemma, (subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2263, lemma, (closed_subset(subset_complement(the_carrier(X1),X2),X1)|~open_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2325, lemma, (subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2167, lemma, (subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2121, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~element(X2,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk377_2(X3,X1)))).
% 8.22/2.39 cnf(i_0_385, plain, (set_difference(X1,set_difference(X1,cartesian_product2(X2,X2)))=relation_restriction(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_161, 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))).
% 8.22/2.39 cnf(i_0_1182, plain, (in(esk205_2(X1,X2),X1)|esk203_1(X1)!=esk202_1(X1)|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_1634, plain, (in(X1,esk297_1(X2))|esk296_0!=esk295_0|~ordinal(X1)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2332, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~element(X2,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk402_2(X3,X1)))).
% 8.22/2.39 cnf(i_0_2333, lemma, (closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~in(X1,esk402_2(X2,X3)))).
% 8.22/2.39 cnf(i_0_158, plain, (X1=empty_set|quasi_total(empty_set,X1,empty_set)|~relation_of2_as_subset(empty_set,X1,empty_set))).
% 8.22/2.39 cnf(i_0_2488, plain, (epred1_0|element(esk414_0,powerset(powerset(empty_set)))|in(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)),omega))).
% 8.22/2.39 cnf(i_0_979, lemma, (ordinal_subset(esk170_1(X1),X2)|~ordinal(X3)|~ordinal(X2)|~in(X3,X1)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_324, plain, (X1=union(X2)|~in(esk73_2(X2,X1),X3)|~in(esk73_2(X2,X1),X1)|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1735, lemma, (empty(X1)|in(X2,cartesian_product2(X1,X3))|~relation(X4)|~in(X2,esk312_3(X1,X4,X3)))).
% 8.22/2.39 cnf(i_0_886, lemma, (in(X1,X2)|esk158_1(X2)!=esk157_1(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk159_1(X2)))).
% 8.22/2.39 cnf(i_0_2314, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))).
% 8.22/2.39 cnf(i_0_2190, 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))))).
% 8.22/2.39 cnf(i_0_223, plain, (inclusion_relation(relation_field(X1))=X1|in(esk40_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_2217, lemma, (subset(fiber(relation_restriction(X1,X2),X3),fiber(X1,X3))|~relation(X1))).
% 8.22/2.39 cnf(i_0_165, plain, (X1=X2|esk25_2(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1)!=X1)).
% 8.22/2.39 cnf(i_0_81, plain, (X1=X2|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),identity_relation(X3)))).
% 8.22/2.39 cnf(i_0_222, plain, (inclusion_relation(relation_field(X1))=X1|in(esk41_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_1963, lemma, (relation_dom(esk358_1(X1))=X1|in(esk354_1(X1),X1))).
% 8.22/2.39 cnf(i_0_2213, lemma, (in(X1,relation_dom(X2))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(X1,relation_dom(relation_composition(X2,X3))))).
% 8.22/2.39 cnf(i_0_142, plain, (X1=unordered_triple(X2,X3,X4)|esk20_4(X2,X3,X4,X1)!=X4|~in(esk20_4(X2,X3,X4,X1),X1))).
% 8.22/2.39 cnf(i_0_143, plain, (X1=unordered_triple(X2,X3,X4)|esk20_4(X2,X3,X4,X1)!=X3|~in(esk20_4(X2,X3,X4,X1),X1))).
% 8.22/2.39 cnf(i_0_874, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|function(esk153_2(X1,X2))|empty(X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_234, plain, (X1=X2|esk45_2(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),X1)!=X1)).
% 8.22/2.39 cnf(i_0_213, plain, (open_subset(X1,X2)|~open_subsets(X3,X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_258, plain, (closed_subset(X1,X2)|~closed_subsets(X3,X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2481, plain, (X1=empty_set|epred1_0|in(esk417_1(X1),X1)|esk414_0!=empty_set|~element(X1,powerset(powerset(esk416_0)))|~in(esk416_0,omega))).
% 8.22/2.39 cnf(i_0_2276, lemma, (identity_relation(relation_dom(X1))=X1|apply(X1,esk396_2(relation_dom(X1),X1))!=esk396_2(relation_dom(X1),X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_875, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|relation(esk153_2(X1,X2))|empty(X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_144, plain, (X1=unordered_triple(X2,X3,X4)|esk20_4(X2,X3,X4,X1)!=X2|~in(esk20_4(X2,X3,X4,X1),X1))).
% 8.22/2.39 cnf(i_0_2188, lemma, (subset(relation_inverse_image(X1,X2),relation_inverse_image(X1,X3))|~subset(X2,X3)|~relation(X1))).
% 8.22/2.39 cnf(i_0_265, plain, (X1=set_union2(X2,X3)|~in(esk53_3(X2,X3,X1),X1)|~in(esk53_3(X2,X3,X1),X3))).
% 8.22/2.39 cnf(i_0_842, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|function(esk153_2(X1,X2))|empty(X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2465, plain, (epred1_0|in(esk415_1(X1),esk414_0)|esk419_1(X2)!=X2|~in(X1,esk414_0)|~in(X2,esk418_0))).
% 8.22/2.39 cnf(i_0_2449, plain, (epred1_0|in(esk419_1(X1),esk418_0)|esk415_1(X2)!=X2|~in(X2,esk414_0)|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2456, plain, (epred1_0|subset(X1,esk415_1(X1))|esk419_1(X2)!=X2|~in(X1,esk414_0)|~in(X2,esk418_0))).
% 8.22/2.39 cnf(i_0_2448, plain, (epred1_0|subset(X1,esk419_1(X1))|esk415_1(X2)!=X2|~in(X2,esk414_0)|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_334, plain, (equipotent(relation_dom(X1),relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_266, plain, (X1=set_union2(X2,X3)|~in(esk53_3(X2,X3,X1),X1)|~in(esk53_3(X2,X3,X1),X2))).
% 8.22/2.39 cnf(i_0_2171, lemma, (relation_image(X1,relation_inverse_image(X1,X2))=X2|~subset(X2,relation_rng(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_1678, plain, (esk310_3(X1,X2,X3)=X3|esk306_2(X1,X2)!=esk305_2(X1,X2)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2424, lemma, (X1=apply(X2,X3)|~relation(X2)|~function(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 8.22/2.39 cnf(i_0_843, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|relation(esk153_2(X1,X2))|empty(X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2372, 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))))).
% 8.22/2.39 cnf(i_0_2315, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|~closed_subset(esk400_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1755, lemma, (esk326_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk325_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2335, lemma, (relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~subset(relation_rng(X1),relation_dom(X2))|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1650, plain, (esk294_0=esk295_0|in(X1,esk297_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2408, lemma, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(identity_relation(X2),X3)))).
% 8.22/2.39 cnf(i_0_2274, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)))).
% 8.22/2.39 cnf(i_0_2275, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))).
% 8.22/2.39 cnf(i_0_2338, lemma, (relation_rng(relation_composition(X1,X2))=relation_rng(X2)|~subset(relation_dom(X2),relation_rng(X1))|~relation(X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1188, plain, (in(esk205_2(X1,X2),X1)|in(esk201_1(X1),X1)|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_183, plain, (topological_space(X1)|element(esk27_1(X1),powerset(powerset(the_carrier(X1))))|element(esk28_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_182, plain, (topological_space(X1)|element(esk27_1(X1),powerset(powerset(the_carrier(X1))))|element(esk29_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_429, plain, (X1=complements_of_subsets(X2,X3)|element(esk101_3(X2,X3,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 8.22/2.39 cnf(i_0_1778, lemma, (in(X1,cartesian_product2(X2,X3))|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))|~in(X1,esk334_3(X4,X2,X3)))).
% 8.22/2.39 cnf(i_0_1642, plain, (esk294_0=esk296_0|in(X1,esk297_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2147, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_2202, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_2343, lemma, (relation_isomorphism(X1,X2,function_inverse(X3))|~relation_isomorphism(X2,X1,X3)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 8.22/2.39 cnf(i_0_1677, plain, (ordinal(esk311_3(X1,X2,X3))|esk306_2(X1,X2)!=esk305_2(X1,X2)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_442, 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)))).
% 8.22/2.39 cnf(i_0_457, plain, (empty_carrier(X1)|element(meet(X1,X2,X3),the_carrier(X1))|~meet_semilatt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_2330, lemma, (meet_of_subsets(the_carrier(X1),esk402_2(X1,X2))=topstr_closure(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_163, plain, (relation_dom_as_subset(X1,X2,X3)=X1|X2=empty_set|~quasi_total(X3,X1,X2)|~relation_of2_as_subset(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_1646, plain, (ordinal(esk295_0)|in(X1,esk297_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_301, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X3)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2430, lemma, (set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2))=relation_dom(relation_dom_restriction(X1,X2))|~relation(X1))).
% 8.22/2.39 cnf(i_0_1788, lemma, (in(X1,powerset(relation_dom(X2)))|~relation(X2)|~function(X2)|~element(X3,powerset(powerset(X4)))|~in(X1,esk342_3(X4,X3,X2)))).
% 8.22/2.39 cnf(i_0_1638, plain, (ordinal(esk296_0)|in(X1,esk297_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_277, plain, (in(esk54_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2146, lemma, (set_difference(relation_rng(X1),set_difference(relation_rng(X1),X2))=relation_rng(relation_rng_restriction(X2,X1))|~relation(X1))).
% 8.22/2.39 cnf(i_0_1751, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk320_1(X2)))).
% 8.22/2.39 cnf(i_0_2169, lemma, (subset(X1,relation_inverse_image(X2,relation_image(X2,X1)))|~subset(X1,relation_dom(X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_2184, lemma, (in(X1,relation_restriction(X2,X3))|~relation(X2)|~in(X1,cartesian_product2(X3,X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_688, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk117_1(X1),esk117_1(X1)),unordered_pair(esk117_1(X1),esk118_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_404, plain, (apply(X1,esk91_1(X1))=apply(X1,esk90_1(X1))|one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_964, lemma, (relation(esk168_2(X1,X2))|in(esk165_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2148, lemma, (meet_of_subsets(X1,complements_of_subsets(X1,X2))=subset_complement(X1,union_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_276, plain, (in(esk55_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))).
% 8.22/2.39 cnf(i_0_850, lemma, (function(esk153_2(X1,X2))|empty(X1)|in(esk148_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_687, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk117_1(X1),esk118_1(X1)),unordered_pair(esk118_1(X1),esk118_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_669, lemma, (transitive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk111_1(X1),esk111_1(X1)),unordered_pair(esk111_1(X1),esk113_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_661, lemma, (reflexive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk110_1(X1),esk110_1(X1)),unordered_pair(esk110_1(X1),esk110_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_113, plain, (in(X1,relation_dom(X2))|~relation(X2)|~function(X2)|~in(X1,relation_inverse_image(X2,X3)))).
% 8.22/2.39 cnf(i_0_1759, lemma, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))|~in(X2,esk327_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_851, lemma, (relation(esk153_2(X1,X2))|empty(X1)|in(esk148_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2402, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,relation_dom(relation_dom_restriction(X1,X2))))).
% 8.22/2.39 cnf(i_0_2418, lemma, (in(X1,relation_dom(relation_dom_restriction(X2,X3)))|~relation(X2)|~in(X1,relation_dom(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2138, lemma, (in(X1,relation_rng(relation_rng_restriction(X2,X3)))|~relation(X3)|~in(X1,relation_rng(X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_198, plain, (X1=set_meet(X2)|X2=empty_set|~in(esk35_2(X2,X1),esk36_2(X2,X1))|~in(esk35_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_75, plain, (subset_intersection2(X1,X2,X3)=subset_intersection2(X1,X3,X2)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0_263, plain, (X1=empty_set|in(esk51_2(X2,X1),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_2373, 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))))).
% 8.22/2.39 cnf(i_0_377, 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))))).
% 8.22/2.39 cnf(i_0_1197, plain, (in(esk215_3(X1,X2,X3),X1)|esk208_1(X1)!=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_885, lemma, (X1=unordered_pair(X2,X2)|esk158_1(X3)!=esk157_1(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk159_1(X3)))).
% 8.22/2.39 cnf(i_0_202, plain, (X1=empty_set|in(X2,X3)|~in(X2,set_meet(X1))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2490, plain, (X1=empty_set|epred1_0|element(esk414_0,powerset(powerset(empty_set)))|in(esk417_1(X1),X1)|~element(X1,powerset(powerset(esk416_0)))|~in(esk416_0,omega))).
% 8.22/2.39 cnf(i_0_1756, lemma, (element(esk326_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk325_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2152, 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))))).
% 8.22/2.39 cnf(i_0_279, 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)))).
% 8.22/2.39 cnf(i_0_1247, plain, (esk214_3(X1,X2,X3)=X3|esk206_1(X1)=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2405, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_2272, lemma, (ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2165, lemma, (in(esk381_3(X1,X2,X3),relation_dom(X3))|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 8.22/2.39 cnf(i_0_2179, lemma, (in(esk382_3(X1,X2,X3),relation_rng(X3))|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 8.22/2.39 cnf(i_0_1223, plain, (esk214_3(X1,X2,X3)=X3|esk206_1(X1)=esk208_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2451, plain, (epred1_0|element(esk418_0,powerset(powerset(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)))))|esk415_1(X1)!=X1|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_1771, lemma, (in(X1,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,esk330_3(X2,X3,X4)))).
% 8.22/2.39 cnf(i_0_1787, lemma, (in(relation_image(X1,X2),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk342_3(X4,X3,X1)))).
% 8.22/2.39 cnf(i_0_2277, lemma, (identity_relation(relation_dom(X1))=X1|in(esk396_2(relation_dom(X1),X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_2348, lemma, (disjoint(X1,X2)|in(esk403_2(X1,X2),set_difference(X1,set_difference(X1,X2))))).
% 8.22/2.39 cnf(i_0_343, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_269, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))).
% 8.22/2.39 cnf(i_0_2320, lemma, (in(X1,topstr_closure(X2,X3))|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~in(X1,esk401_3(X2,X3,X1))|~in(X1,the_carrier(X2)))).
% 8.22/2.39 cnf(i_0_2349, lemma, (X1=empty_set|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))).
% 8.22/2.39 cnf(i_0_278, 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)))).
% 8.22/2.39 cnf(i_0_2123, lemma, (esk378_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk377_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_205, plain, (esk37_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk37_2(X1,X2),X2))).
% 8.22/2.39 cnf(i_0_2311, lemma, (set_union2(esk399_1(X1),unordered_pair(esk399_1(X1),esk399_1(X1)))=X1|being_limit_ordinal(X1)|~ordinal(X1))).
% 8.22/2.39 cnf(i_0_408, plain, (meet_absorbing(X1)|empty_carrier(X1)|join(X1,meet(X1,esk92_1(X1),esk93_1(X1)),esk93_1(X1))!=esk93_1(X1)|~latt_str(X1))).
% 8.22/2.39 cnf(i_0_1676, plain, (esk311_3(X1,X2,X3)=X3|esk306_2(X1,X2)!=esk305_2(X1,X2)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1180, plain, (in(unordered_pair(X1,X1),esk204_1(X2))|esk203_1(X2)!=esk202_1(X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_684, lemma, (subset(X1,set_difference(X2,unordered_pair(X3,X3)))|in(X3,X1)|~subset(X1,X2))).
% 8.22/2.39 cnf(i_0_2105, lemma, (X1=empty_set|in(esk375_2(X2,X1),X1)|esk373_0!=empty_set|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_466, plain, (empty_carrier(X1)|element(join_commut(X1,X2,X3),the_carrier(X1))|~join_semilatt_str(X1)|~join_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_471, plain, (empty_carrier(X1)|element(meet_commut(X1,X2,X3),the_carrier(X1))|~meet_semilatt_str(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_185, plain, (in(union_of_subsets(the_carrier(X1),X2),the_topology(X1))|~topological_space(X1)|~top_str(X1)|~subset(X2,the_topology(X1))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2467, plain, (epred1_0|in(esk419_1(X1),esk418_0)|in(esk415_1(X2),esk414_0)|~in(X2,esk414_0)|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2243, lemma, (esk391_1(X1)=empty_set|in(apply(esk392_1(X1),X2),X2)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_2317, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|element(esk400_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1764, lemma, (in(X1,powerset(X2))|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(X1,esk328_2(X2,X3)))).
% 8.22/2.39 cnf(i_0_2197, lemma, (X1=esk385_2(X2,X3)|X3=empty_set|~subset(esk385_2(X2,X3),X1)|~finite(X2)|~element(X3,powerset(powerset(X2)))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_129, plain, (in(esk14_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_image(X1,X2)))).
% 8.22/2.39 cnf(i_0_201, plain, (X1=empty_set|in(esk34_3(X1,set_meet(X1),X2),X1)|in(X2,set_meet(X1)))).
% 8.22/2.39 cnf(i_0_2436, lemma, (quasi_total(X1,empty_set,X2)|~quasi_total(X1,empty_set,X3)|~relation_of2_as_subset(X1,empty_set,X3)|~subset(X3,X2)|~function(X1))).
% 8.22/2.39 cnf(i_0_2256, plain, (X1=X2|in(esk393_2(X1,X2),X1)|in(esk393_2(X1,X2),X2))).
% 8.22/2.39 cnf(i_0_209, 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))))).
% 8.22/2.39 cnf(i_0_173, plain, (topological_space(X1)|element(esk28_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk27_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_172, plain, (topological_space(X1)|element(esk29_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk27_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_135, plain, (in(esk17_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_inverse_image(X1,X2)))).
% 8.22/2.39 cnf(i_0_229, plain, (X1=powerset(X2)|subset(esk43_2(X2,X1),X2)|in(esk43_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_1782, lemma, (in(X1,cartesian_product2(X2,X2))|~relation(X3)|~relation(X4)|~function(X3)|~in(X1,esk338_3(X2,X4,X3)))).
% 8.22/2.39 cnf(i_0_112, plain, (in(apply(X1,X2),X3)|~relation(X1)|~function(X1)|~in(X2,relation_inverse_image(X1,X3)))).
% 8.22/2.39 cin(X1,meet(X1,X2,X3),X3)=X3|empty_carrier(X1)|~meet_absorbing(X1)|~latt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_1344, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1309, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1936, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|in(esk345_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_948, lemma, (in(X1,X2)|esk166_2(X3,X2)!=esk167_2(X3,X2)|~one_sorted_str(X3)|~element(X2,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk168_2(X3,X2)))).
% 8.22/2.39 cnf(i_0_157, 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))).
% 8.22/2.39 cnf(i_0_96, plain, (in(apply(X1,X2),relation_image(X1,X3))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1))|~in(X2,X3))).
% 8.22/2.39 cnf(i_0_1937, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|in(esk345_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1330, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1295, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1316, plain, (subset(X1,esk227_2(X2,X1))|subset(X1,X3)|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk231_2(X2,X1)))).
% 8.22/2.39 cnf(i_0_1281, plain, (subset(X1,esk228_2(X2,X1))|subset(X1,X3)|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk231_2(X2,X1)))).
% 8.22/2.39 cnf(i_0_1183, plain, (unordered_pair(esk201_1(X1),esk201_1(X1))=esk203_1(X1)|in(unordered_pair(X2,X2),esk204_1(X1))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_156, plain, (function(X1)|in(unordered_pair(unordered_pair(esk22_1(X1),esk22_1(X1)),unordered_pair(esk22_1(X1),esk23_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_169, plain, (topological_space(X1)|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk28_1(X1),esk29_1(X1)),the_topology(X1))|~in(union_of_subsets(the_carrier(X1),esk27_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_2224, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(X3,relation_dom(X1)))).
% 8.22/2.39 cnf(i_0_895, lemma, (X1=unordered_pair(X2,X2)|in(esk156_1(X3),X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk159_1(X3)))).
% 8.22/2.39 cnf(i_0_155, plain, (function(X1)|in(unordered_pair(unordered_pair(esk22_1(X1),esk22_1(X1)),unordered_pair(esk22_1(X1),esk24_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_1323, plain, (closed_subset(esk229_2(X1,X2),X1)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1288, plain, (closed_subset(esk230_2(X1,X2),X1)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1769, lemma, (in(esk331_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1275, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|esk228_2(X1,X2)!=esk227_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_274, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_249, plain, (esk49_3(X1,X2,X3)=X1|esk49_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk49_3(X1,X2,X3),X3))).
% 8.22/2.39 cnf(i_0_1810, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1811, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|esk347_2(X1,X2)nf(i_0_82, plain, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),identity_relation(X2)))).
% 8.22/2.39 cnf(i_0_1754, lemma, (closed_subset(esk326_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk325_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2452, plain, (epred1_0|in(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)),omega)|esk415_1(X1)!=X1|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_995, lemma, (X1=empty_set|in(esk175_2(X2,X1),X1)|esk171_0!=empty_set|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_2458, plain, (epred1_0|subset(X1,esk415_1(X1))|in(esk419_1(X2),esk418_0)|~in(X1,esk414_0)|~in(X2,esk418_0))).
% 8.22/2.39 cnf(i_0_2222, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|in(esk386_3(X2,X1,X3),X1)|~relation_of2_as_subset(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_2212, lemma, (in(apply(X1,X2),relation_dom(X3))|~relation(X3)|~relation(X1)|~function(X3)|~function(X1)|~in(X2,relation_dom(relation_composition(X1,X3))))).
% 8.22/2.39 cnf(i_0_1006, lemma, (in(X1,X2)|~relation(X3)|~relation(X4)|~function(X3)|~in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),esk176_3(X2,X4,X3)))).
% 8.22/2.39 cnf(i_0_1007, lemma, (in(X1,X2)|~relation(X3)|~relation(X4)|~function(X3)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),esk176_3(X2,X4,X3)))).
% 8.22/2.39 cnf(i_0_2267, lemma, (X1=empty_set|ordinal_subset(esk395_2(X1,X2),X3)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X3)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2229, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|in(esk388_3(X1,X2,X3),X2)|~relation_of2_as_subset(X3,X1,X2))).
% 8.22/2.39 cnf(i_0_989, lemma, (X1=empty_set|in(esk175_2(X2,X1),X1)|esk173_0!=empty_set|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_1181, plain, (unordered_pair(esk205_2(X1,X2),esk205_2(X1,X2))=X2|esk203_1(X1)!=esk202_1(X1)|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_1235, plain, (esk214_3(X1,X2,X3)=X3|in(esk209_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1211, plain, (esk214_3(X1,X2,X3)=X3|in(esk211_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2466, plain, (epred1_0|subset(X1,esk419_1(X1))|in(esk415_1(X2),esk414_0)|~in(X2,esk414_0)|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_2168, lemma, (relation_image(X1,set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2)))=relation_image(X1,X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_2309, lemma, (in(set_union2(X1,unordered_pair(X1,X1)),X2)|~being_limit_ordinal(X2)|~ordinal(X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1274, plain, (subset(X1,X2)|esk228_2(X3,X1)!=esk227_2(X3,X1)|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk231_2(X3,X1)))).
% 8.22/2.39 cnf(i_0_1793, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk343_2(X3,X2)))).
% 8.22/2.39 cnf(i_0_297, plain, (X1=empty_set|in(esk64_3(X2,X3,X1),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 8.22/2.39 cnf(i_0_322, plain, (X1=union(X2)|in(esk74_2(X2,X1),X2)|in(esk73_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_928, lemma, (function(esk163_2(X1,X2))|in(esk160_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_929, lemma, (relation(esk163_2(X1,X2))|in(esk160_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2457, plain, (epred1_0|subset(X1,esk419_1(X1))|subset(X2,esk415_1(X2))|~in(X2,esk414_0)|~in(X1,esk418_0))).
% 8.22/2.39 cnf(i_0_323, plain, (X1=union(X2)|in(esk73_2(X2,X1),esk74_2(X2,X1))|in(esk73_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_349, plain, (in(apply(X1,X2),relation_rng(X1))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 8.22/2.39 cnf(i_0_2341, lemma, (subset_difference(X1,X1,meet_of_subsets(X1,X2))=union_of_subsets(X1,complements_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))).
% 8.22/2.39 cnf(i_0_2127, lemma, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))|~element(X2,powerset(the_carrier(X1)))|~in(X2,esk379_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_800, plain, (subset_intersection2(X1,X2,X3)=set_difference(X2,set_difference(X2,X3))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.22/2.39 cnf(i_0!=esk346_2(X1,X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1725, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|ordinal(esk311_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1737, lemma, (unordered_pair(esk318_3(X1,X2,X3),esk318_3(X1,X2,X3))=esk319_3(X1,X2,X3)|~in(X3,esk317_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_296, plain, (X1=empty_set|disjoint(fiber(X2,esk64_3(X2,X3,X1)),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1786, lemma, (in(X1,esk342_3(X2,X3,X4))|~relation(X4)|~function(X4)|~element(X3,powerset(powerset(X2)))|~in(X1,powerset(relation_dom(X4)))|~in(relation_image(X4,X1),X3))).
% 8.22/2.39 cnf(i_0_1351, plain, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|esk236_2(X1,X3)!=esk235_2(X1,X3)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))|~in(X2,esk237_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_2096, lemma, (function(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_272, plain, (X1=cartesian_product2(X2,X3)|in(esk57_3(X2,X3,X1),X2)|in(esk56_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1701, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|ordinal(esk311_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1717, plain, (ordinal(esk307_2(X1,X2))|in(esk311_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1693, plain, (ordinal(esk308_2(X1,X2))|in(esk311_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1707, plain, (ordinal(esk311_3(X1,X2,X3))|in(esk307_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_271, plain, (X1=cartesian_product2(X2,X3)|in(esk58_3(X2,X3,X1),X3)|in(esk56_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_2097, lemma, (relation(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1984, lemma, (function(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1985, lemma, (relation(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2225, lemma, (below(X1,meet_commut(X1,X2,X3),X2)|empty_carrier(X1)|~meet_absorbing(X1)|~latt_str(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_347, plain, (X1=relation_rng(X2)|in(esk79_2(X2,X1),relation_dom(X2))|in(esk78_2(X2,X1),X1)|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_341, plain, (X1=set_difference(X2,X3)|in(esk76_3(X2,X3,X1),X2)|in(esk76_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1683, plain, (ordinal(esk311_3(X1,X2,X3))|in(esk308_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_312, plain, (X1=relation_dom(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(esk68_2(X2,X1),X3),unordered_pair(esk68_2(X2,X1),esk68_2(X2,X1))),X2)|~in(esk68_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_1260, plain, (in(esk221_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|esk218_1(X1)!=esk219_1(X1)|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_2211, lemma, (in(X1,relation_dom(relation_composition(X2,X3)))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(apply(X2,X1),relation_dom(X3))|~in(X1,relation_dom(X2)))).
% 8.22/2.39 cnf(i_0_1269, plain, (esk222_2(X1,X2)=X2|epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_72, 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)))).
% 8.22/2.39 cnf(i_0_74, plain, (meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_1279, plain, (in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|esk228_2(X1,X2)!=esk227_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_174, plain, (topological_space(X1)|subset(esk27_1(X1),the_topology(X1))|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk28_1(X1),esk29_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_1271, plain, (esk221_2(X1,X2)=X2|epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_1655, plain, (in(relation_image(X1,X2),X3)|esk301_3(X4,X3,X1)!=esk300_3(X4,X3,X1)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk302_3(X4,X3,X1)))).
% 8.22/2.39 cnf(i_0_192, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~is_reflexive_in(X2,X3)|~relation(X2)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1353, plain, (in(esk238_3(X1,X2,X3),powerset(the_carrier(X1)))|esk236_2(X1,X2)!=esk235_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_994, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|esk171_0!=empty_set|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1656, plain, (esk303_4(X1,X2,X3,X4)=X4|esk301_3(X1,X2,X3)!=esk300_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1789, lemma, (in(X1,esk343_2(X2,X3))|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1056, plain, (esk180_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|in(esk183_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1270, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|ordinal(esk222_2(X1,X2))|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_988, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|esk173_0!=empty_set|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_983, lemma, (X1=empty_set|in(esk175_2(X2,X1),X1)|esk174_1(X3)!=X3|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk173_0)|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_1333, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1298, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_197, plain, (X1=set_meet(X2)|X2=empty_set|in(esk35_2(X2,X1),X1)|in(esk35_2(X2,X1),X3)|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1227, plain, (unordered_pair(esk209_1(X1),esk209_1(X1))=esk210_1(X1)|in(esk215_3(X1,X2,X3),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1032, plain, (esk181_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|in(esk183_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1038, plain, (empty(X1)|in(esk183_3(X1,X2,X3),X1)|in(esk177_2(X1,X2),X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_873, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|empty(X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1203, plain, (unordered_pair(esk211_1(X1),esk211_1(X1))=esk212_1(X1)|in(esk215_3(X1,X2,X3),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2114, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|ordinal(esk371_0)|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1763, lemma, (in(esk329_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk328_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_428, plain, (X1=complements_of_subsets(X2,X3)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2)))|~in(subset_complement(X2,esk101_3(X2,X3,X1)),X3)|~in(esk101_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_2106, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|element(esk373_0,powerset(powerset(esk371_0)))|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1918, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|function(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2374, lemma, (X1=empty_set|in(unordered_pair(unordered_pair(esk408_1(X1),esk408_1(X1)),un_178, plain, (topological_space(X1)|subset(esk27_1(X1),the_topology(X1))|element(esk28_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_177, plain, (topological_space(X1)|subset(esk27_1(X1),the_topology(X1))|element(esk29_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_350, plain, (apply(X1,esk77_3(X1,relation_rng(X1),X2))=X2|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.22/2.39 cnf(i_0_2339, 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))))).
% 8.22/2.39 cnf(i_0_1714, plain, (esk307_2(X1,X2)=esk305_2(X1,X2)|esk310_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1690, plain, (esk308_2(X1,X2)=esk306_2(X1,X2)|esk310_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2228, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(X4,esk388_3(X1,X2,X3)),unordered_pair(X4,X4)),X3))).
% 8.22/2.39 cnf(i_0_1245, plain, (esk206_1(X1)=esk207_1(X1)|in(esk215_3(X1,X2,X3),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2115, lemma, (X1=empty_set|ordinal(esk371_0)|in(esk375_2(X2,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_181, plain, (topological_space(X1)|element(esk27_1(X1),powerset(powerset(the_carrier(X1))))|in(esk28_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_180, plain, (topological_space(X1)|element(esk27_1(X1),powerset(powerset(the_carrier(X1))))|in(esk29_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_963, lemma, (function(esk168_2(X1,X2))|in(esk165_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_98, plain, (in(esk5_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 8.22/2.39 cnf(i_0_1221, plain, (esk206_1(X1)=esk208_1(X1)|in(esk215_3(X1,X2,X3),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1713, plain, (esk307_2(X1,X2)=esk305_2(X1,X2)|ordinal(esk311_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1689, plain, (esk308_2(X1,X2)=esk306_2(X1,X2)|ordinal(esk311_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1675, plain, (in(esk311_3(X1,X2,X3),X1)|esk306_2(X1,X2)!=esk305_2(X1,X2)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_866, lemma, (function(esk153_2(X1,X2))|empty(X1)|in(esk149_2(X1,X2),esk151_2(X1,X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_2124, lemma, (element(esk378_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk377_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2376, lemma, (apply(X1,apply(function_inverse(X1),X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.22/2.39 cnf(i_0_2375, lemma, (apply(relation_composition(function_inverse(X1),X1),X2)=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.22/2.39 cnf(i_0_351, plain, (in(esk77_3(X1,relation_rng(X1),X2),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.22/2.39 cnf(i_0_834, lemma, (function(esk153_2(X1,X2))|empty(X1)|in(esk150_2(X1,X2),esk152_2(X1,X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_1733, lemma, (empty(X1)|in(esk313_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk312_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1200, plain, (in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|esk208_1(X1)!=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2239, 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)))).
% 8.22/2.39 cnf(i_0_867, lemma, (relation(esk153_2(X1,X2))|empty(X1)|in(esk149_2(X1,X2),esk151_2(X1,X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_2480, plain, (X1=esk417_1(X2)|X2=empty_set|epred1_0|esk414_0!=empty_set|~subset(esk417_1(X2),X1)|~element(X2,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2107, lemma, (X1=empty_set|element(esk373_0,powerset(powerset(esk371_0)))|in(esk375_2(X2,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_2331, lemma, (in(X1,esk402_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~subset(X3,X1)|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_2126, lemma, (in(X1,esk379_2(X2,X3))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~element(X1,powerset(the_carrier(X2)))|~in(set_difference(cast_as_carrier_subset(X2),X1),X3))).
% 8.22/2.39 cnf(i_0_285, plain, (X1=X2|in(X1,X2)|in(X2,X1)|~epsilon_connected(X3)|~in(X2,X3)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_835, lemma, (relation(esk153_2(X1,X2))|empty(X1)|in(esk150_2(X1,X2),esk152_2(X1,X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_2439, lemma, (X1=empty_set|quasi_total(X2,X3,X4)|~quasi_total(X2,X3,X1)|~relation_of2_as_subset(X2,X3,X1)|~subset(X1,X4)|~function(X2))).
% 8.22/2.39 cnf(i_0_148, plain, (X1=X2|X1=X3|X1=X4|~in(X1,unordered_triple(X4,X3,X2)))).
% 8.22/2.39 cnf(i_0_1187, plain, (unordered_pair(esk205_2(X1,X2),esk205_2(X1,X2))=X2|in(esk201_1(X1),X1)|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_119, plain, (X1=topstr_closure(X2,X3)|in(esk12_3(X2,X3,X1),the_carrier(X2))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_1972, lemma, (function(esk364_2(X1,X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2036, lemma, (function(esk370_2(X1,X2))|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1973, lemma, (relation(esk364_2(X1,X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1744, lemma, (in(X1,esk320_1(X2))|esk323_3(X2,X1,X1)!=empty_set|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 8.22/2.39 cnf(i_0_215, plain, (X1=fiber(X2,X3)|in(esk39_3(X2,X3,X1),X1)|esk39_3(X2,X3,X1)!=X3|~relation(X2))).
% 8.22/2.39 cnf(i_0_2329, lemma, (X1=empty_set|in(X2,X3)|~quasi_total(X4,X3,X1)|~relation_of2_as_subset(X4,X3,X1)|~function(X4)|~in(X2,relation_inverse_image(X4,X5)))).
% 8.22/2.39 cnf(i_0_111, plain, (in(X1,relation_inverse_image(X2,X3))|~relation(X2)|~function(X2)|~in(apply(X2,X1),X3)|~in(X1,relation_dom(X2)))).
% 8.22/2.39 cnf(i_0_2242, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))).
% 8.22/2.39 cnf(i_0_2037, lemma, (relation(esk370_2(X1,X2))|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1003, lemma, (X1=empty_set|ordinal(esk171_0)|in(esk175_2(X2,X1),X1)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_1278, plain, (esk232_3(X1,X2,X3)=X3|esk228_2(X1,X2)!=esk227_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2454, plain, (X1=empty_set|epred1_0|in(esk417_1(X1),X1)|esk415_1(X2)!=X2|~element(X1,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X2,esk414_0))).
% 8.22/2.39 cnf(i_0_1956, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk355_1(X1)|function(esk358_1(X1)))).
% 8.22/2.39 cnf(i_0_91, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_dom_restriction(X3,X2)))).
% 8.22/2.39 cnf(i_0_105, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_rng_restriction(X2,X3)))).
% 8.22/2.39 cnf(i_0_199, plain, (X1=set_meet(X2)|X2=empty_set|in(esk36_2(X2,X1),X2)|~in(esk35_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_1352, plain, (esk238_3(X1,X2,X3)=X3|esk236_2(X1,X2)!=esk235_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2323, lemma, (element(esk401_3(X1,X2,X3),powerset(the_carrier(X1)))|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_1758, lemma, (in(ordered_pair(esk408_1(X1),esk409_1(X1))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_841, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|empty(X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1151, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|esk196_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1097, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|esk196_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2407, 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)))).
% 8.22/2.39 cnf(i_0_1919, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|relation(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2453, plain, (X1=esk417_1(X2)|X2=empty_set|epred1_0|esk415_1(X3)!=X3|~subset(esk417_1(X2),X1)|~element(X2,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X3,esk414_0)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1516, plain, (in(esk269_3(X1,X2,X3),X2)|in(esk265_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1338, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|element(esk229_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1864, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|function(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1865, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|relation(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_300, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk66_3(X2,X3,X1),X1)|~in(esk66_3(X2,X3,X1),X3)|~in(esk66_3(X2,X3,X1),X2))).
% 8.22/2.39 cnf(i_0_816, lemma, (esk154_4(X1,X2,X3,X4)=X3|empty(X1)|esk150_2(X1,X2)!=esk149_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1917, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1303, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|element(esk230_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1409, plain, (in(esk251_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|esk248_2(X1,X2)!=esk249_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1341, plain, (esk232_3(X1,X2,X3)=X3|element(esk229_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1306, plain, (esk232_3(X1,X2,X3)=X3|element(esk230_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1863, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1809, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk350_2(X1,X2),X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1723, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|in(esk311_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1699, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|in(esk311_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1711, plain, (esk307_2(X1,X2)=esk305_2(X1,X2)|in(esk311_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1687, plain, (esk308_2(X1,X2)=esk306_2(X1,X2)|in(esk311_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_682, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk115_1(X1),esk115_1(X1)),unordered_pair(esk115_1(X1),esk116_1(X1))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1339, plain, (esk233_3(X1,X2,X3)=X3|element(esk229_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0X1,esk327_2(X2,X3))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~in(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_2109, lemma, (X1=empty_set|in(esk375_2(X2,X1),X1)|in(esk371_0,omega)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_1957, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk355_1(X1)|relation(esk358_1(X1)))).
% 8.22/2.39 cnf(i_0_363, plain, (X1=relation_rng(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,esk82_2(X2,X1)),unordered_pair(X3,X3)),X2)|~in(esk82_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_1014, plain, (empty(X1)|in(esk183_3(X1,X2,X3),X1)|esk179_2(X1,X2)!=esk178_2(X1,X2)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1718, plain, (esk311_3(X1,X2,X3)=X3|ordinal(esk307_2(X1,X2))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1694, plain, (esk311_3(X1,X2,X3)=X3|ordinal(esk308_2(X1,X2))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1720, plain, (esk310_3(X1,X2,X3)=X3|ordinal(esk307_2(X1,X2))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1776, lemma, (in(esk335_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk334_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_991, lemma, (X1=empty_set|element(esk173_0,powerset(powerset(esk171_0)))|in(esk175_2(X2,X1),X1)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_2219, 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))))).
% 8.22/2.39 cnf(i_0_2122, lemma, (closed_subset(esk378_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk377_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1948, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk356_1(X1)|function(esk358_1(X1)))).
% 8.22/2.39 cnf(i_0_1696, plain, (esk310_3(X1,X2,X3)=X3|ordinal(esk308_2(X1,X2))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2218, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(X3,relation_dom(relation_composition(X1,X2))))).
% 8.22/2.39 cnf(i_0_896, lemma, (in(esk156_1(X1),X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_1248, plain, (esk206_1(X1)=esk207_1(X1)|in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2035, lemma, (relation_dom(esk370_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_795, 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)))).
% 8.22/2.39 cnf(i_0_796, plain, (meet_commut(X1,X2,X3)=meet(X1,X2,X3)|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_171, plain, (topological_space(X1)|in(esk28_1(X1),the_topology(X1))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk27_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_1949, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk356_1(X1)|relation(esk358_1(X1)))).
% 8.22/2.39 cnf(i_0_817, lemma, (empty(X1)|in(X2,X1)|esk150_2(X1,X3)!=esk149_2(X1,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)),esk153_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_1070, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_407, plain, (X1=X2|apply(X3,X1)!=apply(X3,X2)|~one_to_one(X3)|~relation(X3)|~function(X3)|~in(X2,relation_dom(X3))|~in(X1,relation_dom(X3)))).
% 8.22/2.39 cnf(i_0_380, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk84_2(X1,X2),esk84_2(X1,X2)),unordered_pair(esk84_2(X1,X2),esk85_2(X1,X2))),X1))).
% 8.22/2.39 cnf(i_0_1224, plain, (esk206_1(X1)=esk208_1(X1)|in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk213_2(_1304, plain, (esk233_3(X1,X2,X3)=X3|element(esk230_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1938, lemma, (apply(esk358_1(X1),X2)=unordered_pair(X2,X2)|esk356_1(X1)!=esk355_1(X1)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_681, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk115_1(X1),esk116_1(X1)),unordered_pair(esk116_1(X1),esk116_1(X1))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1705, plain, (in(esk311_3(X1,X2,X3),X1)|in(esk307_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1681, plain, (in(esk311_3(X1,X2,X3),X1)|in(esk308_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1068, plain, (empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_671, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk111_1(X1),esk111_1(X1)),unordered_pair(esk111_1(X1),esk112_1(X1))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1002, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|ordinal(esk171_0)|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1000, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|being_limit_ordinal(esk171_0)|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2472, plain, (X1=empty_set|epred1_0|in(esk415_1(X2),esk414_0)|in(esk417_1(X1),X1)|~element(X1,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X2,esk414_0))).
% 8.22/2.39 cnf(i_0_2463, plain, (X1=empty_set|epred1_0|subset(X2,esk415_1(X2))|in(esk417_1(X1),X1)|~element(X1,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X2,esk414_0))).
% 8.22/2.39 cnf(i_0_346, plain, (apply(X1,esk79_2(X1,X2))=esk78_2(X1,X2)|X2=relation_rng(X1)|in(esk78_2(X1,X2),X2)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_670, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk112_1(X1),esk112_1(X1)),unordered_pair(esk112_1(X1),esk113_1(X1))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1531, plain, (in(esk280_4(X1,X2,X3,X4),X2)|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1741, lemma, (in(X1,esk320_1(X2))|esk324_4(X2,X1,X1,X3)!=X3|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk323_3(X2,X1,X1)))).
% 8.22/2.39 cnf(i_0_1055, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|esk180_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1935, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk350_2(X1,X2),X1)|in(esk345_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2047, lemma, (relation_dom(esk370_2(X1,X2))=X2|in(esk368_2(X1,X2),X2)|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2108, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|in(esk371_0,omega)|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_990, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|element(esk173_0,powerset(powerset(esk171_0)))|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1345, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|closed_subset(esk233_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1031, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|esk181_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2399, lemma, (X1=empty_set|in(apply(X2,X3),relation_rng(X2))|~quasi_total(X2,X4,X1)|~relation_of2_as_subset(X2,X4,X1)|~function(X2)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1252, plain, (in(X1,esk220_1(X2))|esk224_3(X2,X1,X1)!=empty_set|esk218_1(X2)!=esk219_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 8.22/2.39 cnf(i_0_1502, plain, (in(X1,esk268_2(X2,X3))|subset_complement(the_carrier(X2),esk270_4(X2,X3,X1,X4))!=X1|esk266_2(X2,X3)!=esk267_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X4,X3))).
% 8.22/2.39 cnf(i_0_2X1,X2)))).
% 8.22/2.39 cnf(i_0_170, plain, (topological_space(X1)|in(esk29_1(X1),the_topology(X1))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk27_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_2048, lemma, (function(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2049, lemma, (relation(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_262, plain, (X1=empty_set|disjoint(fiber(X2,esk51_2(X2,X1)),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 8.22/2.39 cnf(i_0_1955, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk355_1(X1)|relation_dom(esk358_1(X1))=X1)).
% 8.22/2.39 cnf(i_0_379, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk84_2(X1,X2),esk85_2(X1,X2)),unordered_pair(esk85_2(X1,X2),esk85_2(X1,X2))),X1))).
% 8.22/2.39 cnf(i_0_420, plain, (is_transitive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk98_2(X1,X2),esk98_2(X1,X2)),unordered_pair(esk98_2(X1,X2),esk100_2(X1,X2))),X1))).
% 8.22/2.39 cnf(i_0_190, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk33_2(X1,X2),esk33_2(X1,X2)),unordered_pair(esk33_2(X1,X2),esk33_2(X1,X2))),X1))).
% 8.22/2.39 cnf(i_0_1233, plain, (in(esk215_3(X1,X2,X3),X1)|in(esk209_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1746, lemma, (in(X1,esk320_1(X2))|in(X1,omega)|~ordinal(X2)|~ordinal(X1)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 8.22/2.39 cnf(i_0_2489, plain, (X1=esk417_1(X2)|X2=empty_set|epred1_0|element(esk414_0,powerset(powerset(empty_set)))|~subset(esk417_1(X2),X1)|~element(X2,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_430, plain, (in(X1,complements_of_subsets(X2,X3))|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2))|~in(subset_complement(X2,X1),X3))).
% 8.22/2.39 cnf(i_0_1947, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk356_1(X1)|relation_dom(esk358_1(X1))=X1)).
% 8.22/2.39 cnf(i_0_2328, lemma, (X1=empty_set|in(apply(X2,X3),X4)|~quasi_total(X2,X5,X1)|~relation_of2_as_subset(X2,X5,X1)|~function(X2)|~in(X3,relation_inverse_image(X2,X4)))).
% 8.22/2.39 cnf(i_0_1719, plain, (ordinal(esk311_3(X1,X2,X3))|ordinal(esk307_2(X1,X2))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1695, plain, (ordinal(esk311_3(X1,X2,X3))|ordinal(esk308_2(X1,X2))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1209, plain, (in(esk215_3(X1,X2,X3),X1)|in(esk211_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_179, plain, (topological_space(X1)|element(esk27_1(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk28_1(X1),esk29_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_176, plain, (topological_space(X1)|subset(esk27_1(X1),the_topology(X1))|in(esk28_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_175, plain, (topological_space(X1)|subset(esk27_1(X1),the_topology(X1))|in(esk29_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_993, lemma, (X1=empty_set|in(esk175_2(X2,X1),X1)|in(esk171_0,omega)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_97, plain, (apply(X1,esk5_4(X1,X2,relation_image(X1,X2),X3))=X3|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 8.22/2.39 cnf(i_0_2247, lemma, (in(apply(esk392_1(X1),X2),X2)|in(esk391_1(X1),X1)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1732, lemma, (esk315_4(X1,X2,X3,X4)=esk313_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk312_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_348, plain, (X1=relation_rng(X2)|esk78_2(X2,X1)!=apply(X2,X3)|~relation(X2)|~function(X2)|~in(esk78_2(X2,X1),X1)|~in(X3,relation_dom(X2)))).
% 8.22/2.39 cnf(i_0_1013, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|empty(X1)|esk179_2(X1,X2)!=esk178_2(X1,X2)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_340, plain, (X1=set_difference(X2,X3)|in(esk76_3(X2,X3,X1),X1)|~in(esk76_3(X2,X3,X1),X3))).
% 8.22/2.39 cnf(i_0_1191, plain, (unordered_pair(esk201_1(X1),esk201_1(X1))=esk202_1(X1)|in(esk205_2(X1,X2),X199, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk66_3(X2,X3,X1),X2)|in(esk66_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1310, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|closed_subset(esk233_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1331, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|closed_subset(esk233_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1296, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|closed_subset(esk233_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1983, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1900, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk346_2(X1,X2),esk348_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2221, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(esk386_3(X2,X1,X3),X4),unordered_pair(esk386_3(X2,X1,X3),esk386_3(X2,X1,X3))),X3))).
% 8.22/2.39 cnf(i_0_218, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(X1,fiber(X3,X2)))).
% 8.22/2.39 cnf(i_0_1367, plain, (esk234_2(X1,X2)=esk235_2(X1,X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1359, plain, (esk234_2(X1,X2)=esk236_2(X1,X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2043, lemma, (relation_dom(esk370_2(X1,X2))=X2|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_307, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,apply(X2,X1))),X2)|~relation(X2)|~function(X2)|~in(X1,relation_dom(X2)))).
% 8.22/2.39 cnf(i_0_1846, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk347_2(X1,X2),esk349_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_127, plain, (X1=relation_image(X2,X3)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,esk15_3(X2,X3,X1)),unordered_pair(X4,X4)),X2)|~in(esk15_3(X2,X3,X1),X1)|~in(X4,X3))).
% 8.22/2.39 cnf(i_0_1373, plain, (esk245_3(X1,X2,X3)=X3|esk241_2(X1,X2)!=esk240_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2366, lemma, (in(apply(function_inverse(X1),X2),relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.22/2.39 cnf(i_0_1901, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk346_2(X1,X2),esk348_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2084, lemma, (function(esk370_2(X1,X2))|in(esk365_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2085, lemma, (relation(esk370_2(X1,X2))|in(esk365_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_184, plain, (in(subset_intersection2(the_carrier(X1),X2,X3),the_topology(X1))|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_topology(X1))|~in(X2,the_topology(X1)))).
% 8.22/2.39 cnf(i_0_1335, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1847, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk347_2(X1,X2),esk349_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2327, lemma, (X1=empty_set|in(X2,relation_inverse_image(X3,X4))|~quasi_total(X3,X5)|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_685, 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)))).
% 8.22/2.39 cnf(i_0_1001, lemma, (X1=empty_set|being_limit_ordinal(esk171_0)|in(esk175_2(X2,X1),X1)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_1337, plain, (subset(X1,X2)|element(esk229_2(X3,X1),powerset(the_carrier(X3)))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk231_2(X3,X1)))).
% 8.22/2.39 cnf(i_0_1302, plain, (subset(X1,X2)|element(esk230_2(X3,X1),powerset(the_carrier(X3)))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk231_2(X3,X1)))).
% 8.22/2.39 cnf(i_0_1186, plain, (in(unordered_pair(X1,X1),esk204_1(X2))|in(esk201_1(X2),X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1602, plain, (esk291_4(X1,X2,X3,X4)=X4|esk285_3(X1,X2,X3)!=esk284_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_128, plain, (in(X1,relation_image(X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X2)|~in(X4,X3))).
% 8.22/2.39 cnf(i_0_1185, plain, (unordered_pair(esk201_1(X1),esk201_1(X1))=esk203_1(X1)|in(esk205_2(X1,X2),X1)|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_1980, lemma, (function(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2044, lemma, (function(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1981, lemma, (relation(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2045, lemma, (relation(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_99, plain, (in(esk5_4(X1,X2,relation_image(X1,X2),X3),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 8.22/2.39 cnf(i_0_1229, plain, (unordered_pair(esk209_1(X1),esk209_1(X1))=esk210_1(X1)|esk214_3(X1,X2,X3)=X3|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_134, 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))).
% 8.22/2.39 cnf(i_0_217, plain, (X1=X2|in(X1,fiber(X3,X2))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3))).
% 8.22/2.39 cnf(i_0_1205, plain, (unordered_pair(esk211_1(X1),esk211_1(X1))=esk212_1(X1)|esk214_3(X1,X2,X3)=X3|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1277, plain, (element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|esk228_2(X1,X2)!=esk227_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1971, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2321, lemma, (subset(X1,esk401_3(X2,X1,X3))|in(X3,topstr_closure(X2,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,the_carrier(X2)))).
% 8.22/2.39 cnf(i_0_2322, lemma, (closed_subset(esk401_3(X1,X2,X3),X1)|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_663, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~reflexive(X2)|~relation(X2)|~in(X1,relation_field(X2)))).
% 8.22/2.39 cnf(i_0_2470, plain, (epred1_0|in(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)),omega)|in(esk415_1(X1),esk414_0)|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_225, plain, (subset(X1,X2)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),inclusion_relation(X3))|~in(X2,X3)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2469, plain, (epred1_0|element(esk418_0,powerset(powerset(set_union2(esk,X1)|~relation_of2_as_subset(X3,X5,X1)|~function(X3)|~in(apply(X3,X2),X4)|~in(X2,X5))).
% 8.22/2.39 cnf(i_0_125, plain, (X1=relation_image(X2,X3)|in(esk16_3(X2,X3,X1),X3)|in(esk15_3(X2,X3,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_80, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),identity_relation(X2))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1300, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1369, plain, (esk234_2(X1,X2)=esk235_2(X1,X2)|in(esk238_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_123, plain, (element(esk11_4(X1,X2,topstr_closure(X1,X2),X3),powerset(the_carrier(X1)))|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_131, plain, (X1=relation_inverse_image(X2,X3)|in(esk19_3(X2,X3,X1),X3)|in(esk18_3(X2,X3,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2363, lemma, (apply(function_inverse(X1),apply(X1,X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 8.22/2.39 cnf(i_0_1899, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk346_2(X1,X2),esk348_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1361, plain, (esk234_2(X1,X2)=esk236_2(X1,X2)|in(esk238_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2120, lemma, (in(X1,esk377_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~subset(X3,X1)|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_1348, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|esk232_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1736, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk317_2(X2,X3))|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1845, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk347_2(X1,X2),esk349_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2324, lemma, (in(X1,X2)|~closed_subset(X2,X3)|~top_str(X3)|~subset(X4,X2)|~element(X2,powerset(the_carrier(X3)))|~element(X4,powerset(the_carrier(X3)))|~in(X1,topstr_closure(X3,X4))|~in(X1,the_carrier(X3)))).
% 8.22/2.39 cnf(i_0_1679, plain, (in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|esk306_2(X1,X2)!=esk305_2(X1,X2)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1067, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1244, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|esk206_1(X1)=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1313, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|esk232_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1334, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|esk232_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1299, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|esk232_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1346, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|esk233_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_884, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk159_1(X2))|esk158_1(X2)!=esk157_1(X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1220, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|esk206_1(X1)=esk208_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1196, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216416_0,unordered_pair(esk416_0,esk416_0)))))|in(esk415_1(X1),esk414_0)|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_2460, plain, (epred1_0|subset(X1,esk415_1(X1))|element(esk418_0,powerset(powerset(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)))))|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_1506, plain, (in(esk269_3(X1,X2,X3),X2)|esk266_2(X1,X2)!=esk267_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2461, plain, (epred1_0|subset(X1,esk415_1(X1))|in(set_union2(esk416_0,unordered_pair(esk416_0,esk416_0)),omega)|~in(X1,esk414_0))).
% 8.22/2.39 cnf(i_0_1012, plain, (empty(X1)|in(X2,esk184_3(X1,X3,X2))|esk179_2(X1,X3)!=esk178_2(X1,X3)|~relation(X3)|~in(X2,esk182_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_683, 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))).
% 8.22/2.39 cnf(i_0_287, plain, (subset(X1,X2)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk61_2(X1,X2),esk61_2(X1,X2)),unordered_pair(esk61_2(X1,X2),esk62_2(X1,X2))),X2))).
% 8.22/2.39 cnf(i_0_1724, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|esk311_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1190, plain, (unordered_pair(esk201_1(X1),esk201_1(X1))=esk202_1(X1)|unordered_pair(esk205_2(X1,X2),esk205_2(X1,X2))=X2|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_1436, plain, (esk261_4(X1,X2,X3,X4)=X4|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1533, plain, (esk279_4(X1,X2,X3,X4)=X4|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1276, plain, (esk233_3(X1,X2,X3)=X3|esk228_2(X1,X2)!=esk227_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1184, plain, (unordered_pair(esk201_1(X1),esk201_1(X1))=esk203_1(X1)|unordered_pair(esk205_2(X1,X2),esk205_2(X1,X2))=X2|~in(X2,esk204_1(X1)))).
% 8.22/2.39 cnf(i_0_1700, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|esk311_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1712, plain, (esk307_2(X1,X2)=esk305_2(X1,X2)|esk311_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1688, plain, (esk308_2(X1,X2)=esk306_2(X1,X2)|esk311_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1726, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|esk310_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1702, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|esk310_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2316, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|in(esk400_2(X1,X2),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2104, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|esk373_0!=empty_set|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_431, plain, (in(subset_complement(X1,X2),X3)|~element(X3,powerset(powerset(X1)))|~in(X2,complements_of_subsets(X1,X3)))).
% 8.22/2.39 cnf(i_0_1189, plain, (unordered_pair(esk201_1(X1),esk201_1(X1))=esk202_1(X1)|in(unordered_pair(X2,X2),esk204_1(X1))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1236, plain, (in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk209_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1706, plain, (esk311_3(X1,X2,X3)=X3|in(esk307_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1682, plain, (esk311_3(X1,X2,X3)=X3|in(esk308_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1708, plain, (esk310_3(X1,X2,X3)=X3|in(esk307_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1684, plain, (esk310_3(X1,X2,X3)=X3|in(esk308_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1212, plain, (in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk211_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2099, lemma, (X1=empty_set|in(esk375_2(X2,X1),X1)|esk374_1(X3)!=X3|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk373_0)|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_411, plain, (jo_3(X1,X2,X3)|esk208_1(X1)!=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_901, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk157_1(X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_891, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk158_1(X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_913, lemma, (in(X1,complements_of_subsets(the_carrier(X2),X3))|esk161_2(X2,X3)!=esk162_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk163_2(X2,X3)))).
% 8.22/2.39 cnf(i_0_2178, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk382_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 8.22/2.39 cnf(i_0_1311, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|esk233_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1332, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|esk233_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1297, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|esk233_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1368, plain, (esk234_2(X1,X2)=esk235_2(X1,X2)|esk238_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1962, lemma, (apply(esk358_1(X1),X2)=unordered_pair(X2,X2)|in(esk354_1(X1),X1)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_95, plain, (X1=relation_image(X2,X3)|esk6_3(X2,X3,X1)!=apply(X2,X4)|~relation(X2)|~function(X2)|~in(esk6_3(X2,X3,X1),X1)|~in(X4,relation_dom(X2))|~in(X4,X3))).
% 8.22/2.39 cnf(i_0_1071, plain, (empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1731, lemma, (empty(X1)|in(esk314_4(X1,X2,X3,X4),esk315_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk312_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2098, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|esk374_1(X4)!=X4|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk373_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2095, lemma, (relation_dom(esk370_2(X1,X2))=X2|in(esk368_2(X1,X2),X2)|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1360, plain, (esk234_2(X1,X2)=esk236_2(X1,X2)|esk238_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1320, plain, (esk232_3(X1,X2,X3)=X3|subset(X2,esk227_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1285, plain, (esk232_3(X1,X2,X3)=X3|subset(X2,esk228_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1318, plain, (esk233_3(X1,X2,X3)=X3|subset(X2,esk227_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1954, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk355_1(X1)|apply(esk358_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_273, plain, (X1=cartesian_product2(X2,X3)|esk56_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk56_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1405, plain, (in(X1,esk250_2(X2,X3))|subset_complement(the_carrier(X2),esk252_4(X2,X3,X1,X4))!=X1|esk248_2(X2,X3)!=esk249_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X4,complements_of_subsets(the_carrier(X2),X3)))).
% 8.22/2.39 cnf(i_0_1762, lemma, (set_difference(esk329_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk328_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1054, plain, (esk180_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|in(X3,esk184_3(X1,X2,X3))|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1030, plain, (esk181_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|in(X3,esk184_3(X1,X2,X3))|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1283, plain, (esk233_3(X1,X2,X3)=X3|subset(X2,esk228_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1327, plain, (esk232_3(X1,X2,X3)=X3|closed_subset(esk229_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1292, plain, (esk232_3(X1,X2,X3)=X3|closed_subset(esk230_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1325, plain, (esk233_3(X1,X2,X3)=X3|closed_subset(esk229_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1946, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk356_1(X1)|apply(esk358_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1036, plain, (empty(X1)|in(X2,esk184_3(X1,X3,X2))|in(esk177_2(X1,X3),X1)|~relation(X3)|~in(X2,esk182_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_342, plain, (X1=set_difference(X2,X3)|in(esk76_3(X2,X3,X1),X3)|~in(esk76_3(X2,X3,X1),X1)|~in(esk76_3(X2,X3,X1),X2))).
% 8.22/2.39 cnf(i_0_1290, plain, (esk233_3(X1,X2,X3)=X3|closed_subset(esk230_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1178, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|esk196_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1340, plain, (element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk229_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1305, plain, (element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk230_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_935, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|function(esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2362, lemma, (X1=function_inverse(X2)|in(esk407_2(X2,X1),relation_dom(X2))|in(esk404_2(X2,X1),relation_rng(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 8.22/2.39 cnf(i_0_1124, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|esk196_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_849, lemma, (empty(X1)|in(esk148_2(X1,X2),X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1160, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1106, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1232, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|in(esk209_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_936, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|relation(esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_921, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|function(esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2359, lemma, (apply(X1,esk404_2(X2,X1))=esk405_2(X2,X1)|X1=function_inverse(X2)|in(esk407_2(X2,X1),relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 8.22/2.39 cnf(i_0_1208, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|in(esk211_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1372, plain, (in(esk246_3(X1,X2,X3),X2)|esk241_2(X1,X2)!=esk240_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powein(X1,meet(X1,X2,X3),X3)=X3|empty_carrier(X1)|~meet_absorbing(X1)|~latt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_1344, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1309, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1936, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|in(esk345_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_948, lemma, (in(X1,X2)|esk166_2(X3,X2)!=esk167_2(X3,X2)|~one_sorted_str(X3)|~element(X2,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk168_2(X3,X2)))).
% 8.22/2.39 cnf(i_0_157, 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))).
% 8.22/2.39 cnf(i_0_96, plain, (in(apply(X1,X2),relation_image(X1,X3))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1))|~in(X2,X3))).
% 8.22/2.39 cnf(i_0_1937, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|in(esk345_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1330, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1295, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1316, plain, (subset(X1,esk227_2(X2,X1))|subset(X1,X3)|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk231_2(X2,X1)))).
% 8.22/2.39 cnf(i_0_1281, plain, (subset(X1,esk228_2(X2,X1))|subset(X1,X3)|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk231_2(X2,X1)))).
% 8.22/2.39 cnf(i_0_1183, plain, (unordered_pair(esk201_1(X1),esk201_1(X1))=esk203_1(X1)|in(unordered_pair(X2,X2),esk204_1(X1))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_156, plain, (function(X1)|in(unordered_pair(unordered_pair(esk22_1(X1),esk22_1(X1)),unordered_pair(esk22_1(X1),esk23_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_169, plain, (topological_space(X1)|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk28_1(X1),esk29_1(X1)),the_topology(X1))|~in(union_of_subsets(the_carrier(X1),esk27_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_2224, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(X3,relation_dom(X1)))).
% 8.22/2.39 cnf(i_0_895, lemma, (X1=unordered_pair(X2,X2)|in(esk156_1(X3),X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk159_1(X3)))).
% 8.22/2.39 cnf(i_0_155, plain, (function(X1)|in(unordered_pair(unordered_pair(esk22_1(X1),esk22_1(X1)),unordered_pair(esk22_1(X1),esk24_1(X1))),X1))).
% 8.22/2.39 cnf(i_0_1323, plain, (closed_subset(esk229_2(X1,X2),X1)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1288, plain, (closed_subset(esk230_2(X1,X2),X1)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1769, lemma, (in(esk331_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1275, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|esk228_2(X1,X2)!=esk227_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_274, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_249, plain, (esk49_3(X1,X2,X3)=X1|esk49_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk49_3(X1,X2,X3),X3))).
% 8.22/2.39 cnf(i_0_1810, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1811, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|esk347_2(X1,X2)rset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_992, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|in(esk171_0,omega)|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_110, plain, (X1=relation_inverse_image(X2,X3)|~relation(X2)|~function(X2)|~in(apply(X2,esk10_3(X2,X3,X1)),X3)|~in(esk10_3(X2,X3,X1),relation_dom(X2))|~in(esk10_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_872, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|esk154_4(X1,X2,X3,X4)=X3|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_922, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|relation(esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_970, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|function(esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_314, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk67_3(X2,relation_dom(X2),X1))),X2)|~relation(X2)|~in(X1,relation_dom(X2)))).
% 8.22/2.39 cnf(i_0_1230, plain, (unordered_pair(esk209_1(X1),esk209_1(X1))=esk210_1(X1)|in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_840, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|esk154_4(X1,X2,X3,X4)=X3|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1603, plain, (in(esk291_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|esk285_3(X1,X2,X3)!=esk284_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_982, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|esk174_1(X4)!=X4|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk173_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1037, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|empty(X1)|in(esk177_2(X1,X2),X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1206, plain, (unordered_pair(esk211_1(X1),esk211_1(X1))=esk212_1(X1)|in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_971, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|relation(esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_956, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|function(esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2361, lemma, (apply(X1,esk407_2(X1,X2))=esk406_2(X1,X2)|X2=function_inverse(X1)|in(esk404_2(X1,X2),relation_rng(X1))|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.22/2.39 cnf(i_0_1721, plain, (ordinal(esk307_2(X1,X2))|in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1697, plain, (ordinal(esk308_2(X1,X2))|in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_79, plain, (X1=identity_relation(X2)|esk2_2(X2,X1)!=esk1_2(X2,X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)|~in(esk1_2(X2,X1),X2))).
% 8.22/2.39 cnf(i_0_1254, plain, (in(X1,esk220_1(X2))|in(X1,omega)|esk218_1(X2)!=esk219_1(X2)|~ordinal(X2)|~ordinal(X1)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 8.22/2.39 cnf(i_0_957, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|relation(esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_118, plain, (X1=topstr_closure(X2,X3)|element(esk13_3(X2,X3,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~i!=esk346_2(X1,X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1725, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|ordinal(esk311_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1737, lemma, (unordered_pair(esk318_3(X1,X2,X3),esk318_3(X1,X2,X3))=esk319_3(X1,X2,X3)|~in(X3,esk317_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_296, plain, (X1=empty_set|disjoint(fiber(X2,esk64_3(X2,X3,X1)),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1786, lemma, (in(X1,esk342_3(X2,X3,X4))|~relation(X4)|~function(X4)|~element(X3,powerset(powerset(X2)))|~in(X1,powerset(relation_dom(X4)))|~in(relation_image(X4,X1),X3))).
% 8.22/2.39 cnf(i_0_1351, plain, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|esk236_2(X1,X3)!=esk235_2(X1,X3)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))|~in(X2,esk237_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_2096, lemma, (function(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_272, plain, (X1=cartesian_product2(X2,X3)|in(esk57_3(X2,X3,X1),X2)|in(esk56_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1701, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|ordinal(esk311_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1717, plain, (ordinal(esk307_2(X1,X2))|in(esk311_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1693, plain, (ordinal(esk308_2(X1,X2))|in(esk311_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1707, plain, (ordinal(esk311_3(X1,X2,X3))|in(esk307_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_271, plain, (X1=cartesian_product2(X2,X3)|in(esk58_3(X2,X3,X1),X3)|in(esk56_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_2097, lemma, (relation(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1984, lemma, (function(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1985, lemma, (relation(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2225, lemma, (below(X1,meet_commut(X1,X2,X3),X2)|empty_carrier(X1)|~meet_absorbing(X1)|~latt_str(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_347, plain, (X1=relation_rng(X2)|in(esk79_2(X2,X1),relation_dom(X2))|in(esk78_2(X2,X1),X1)|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_341, plain, (X1=set_difference(X2,X3)|in(esk76_3(X2,X3,X1),X2)|in(esk76_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1683, plain, (ordinal(esk311_3(X1,X2,X3))|in(esk308_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_312, plain, (X1=relation_dom(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(esk68_2(X2,X1),X3),unordered_pair(esk68_2(X2,X1),esk68_2(X2,X1))),X2)|~in(esk68_2(X2,X1),X1))).
% 8.22/2.39 cnf(i_0_1260, plain, (in(esk221_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|esk218_1(X1)!=esk219_1(X1)|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_2211, lemma, (in(X1,relation_dom(relation_composition(X2,X3)))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(apply(X2,X1),relation_dom(X3))|~in(X1,relation_dom(X2)))).
% 8.22/2.39 cnf(i_0_1269, plain, (esk222_2(X1,X2)=X2|epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_72, 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)))).
% 8.22/2.39 cnf(i_0_74, plain, (meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_1279, plain, (in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|esk228_2(X1,X2)!=esk227_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_174, plain, (topological_space(X1)|subset(esk27_1(X1),the_topology(X1))|~top_str(X1n(esk12_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_2083, lemma, (relation_dom(esk370_2(X1,X2))=X2|in(esk365_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1916, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|esk353_3(X1,X2,X3)=X3|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_93, plain, (X1=relation_image(X2,X3)|in(esk7_3(X2,X3,X1),X3)|in(esk6_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_900, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk157_1(X1)|X2=unordered_pair(X3,X3)|~in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_890, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk158_1(X1)|X2=unordered_pair(X3,X3)|~in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_2393, lemma, (X1=relation_dom_restriction(X2,X3)|apply(X1,esk410_3(X3,X1,X2))!=apply(X2,esk410_3(X3,X1,X2))|relation_dom(X1)!=set_difference(relation_dom(X2),set_difference(relation_dom(X2),X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.22/2.39 cnf(i_0_1748, lemma, (X1=empty_set|in(esk322_3(X2,X3,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(esk321_2(X2,X3))))|~in(esk321_2(X2,X3),omega)|~in(X3,esk320_1(X2)))).
% 8.22/2.39 cnf(i_0_298, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk66_3(X2,X3,X1),X3)|in(esk66_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1752, lemma, (in(X1,esk325_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~subset(X3,X1)|~element(X3,powerset(the_carrier(X2)))|~in(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_120, plain, (disjoint(X1,esk11_4(X2,X1,topstr_closure(X2,X1),X3))|in(X3,topstr_closure(X2,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,the_carrier(X2)))).
% 8.22/2.39 cnf(i_0_1727, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1403, plain, (esk239_2(X1,X2)=esk240_2(X1,X2)|esk245_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1388, plain, (esk239_2(X1,X2)=esk241_2(X1,X2)|esk245_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1534, plain, (in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1808, lemma, (esk353_3(X1,X2,X3)=X3|in(esk350_2(X1,X2),X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1703, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1976, lemma, (esk363_3(X1,X2,X3)=esk362_2(X1,X2)|function(esk364_2(X1,X2))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_121, plain, (in(X1,esk11_4(X2,X3,topstr_closure(X2,X3),X1))|in(X1,topstr_closure(X2,X3))|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~in(X1,the_carrier(X2)))).
% 8.22/2.39 cnf(i_0_1715, plain, (esk307_2(X1,X2)=esk305_2(X1,X2)|in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1503, plain, (esk270_4(X1,X2,X3,X4)=X4|in(X3,esk268_2(X1,X2))|esk266_2(X1,X2)!=esk267_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1691, plain, (esk308_2(X1,X2)=esk306_2(X1,X2)|in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1977, lemma, (esk363_3(X1,X2,X3)=esk362_2(X1,X2)|relation(esk364_2(X1,X2))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2040, lemma, (esk369_3(X1,X2,X3)=esk368_2(X1,X2)|function(esk370_2(X1,X2))|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2041, lemma, (esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation(es)|~in(subset_intersection2(the_carrier(X1),esk28_1(X1),esk29_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 8.22/2.39 cnf(i_0_1271, plain, (esk221_2(X1,X2)=X2|epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_1655, plain, (in(relation_image(X1,X2),X3)|esk301_3(X4,X3,X1)!=esk300_3(X4,X3,X1)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk302_3(X4,X3,X1)))).
% 8.22/2.39 cnf(i_0_192, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~is_reflexive_in(X2,X3)|~relation(X2)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1353, plain, (in(esk238_3(X1,X2,X3),powerset(the_carrier(X1)))|esk236_2(X1,X2)!=esk235_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_994, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|esk171_0!=empty_set|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1656, plain, (esk303_4(X1,X2,X3,X4)=X4|esk301_3(X1,X2,X3)!=esk300_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1789, lemma, (in(X1,esk343_2(X2,X3))|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1056, plain, (esk180_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|in(esk183_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1270, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|ordinal(esk222_2(X1,X2))|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_988, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|esk173_0!=empty_set|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_983, lemma, (X1=empty_set|in(esk175_2(X2,X1),X1)|esk174_1(X3)!=X3|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk173_0)|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_1333, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1298, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_197, plain, (X1=set_meet(X2)|X2=empty_set|in(esk35_2(X2,X1),X1)|in(esk35_2(X2,X1),X3)|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1227, plain, (unordered_pair(esk209_1(X1),esk209_1(X1))=esk210_1(X1)|in(esk215_3(X1,X2,X3),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1032, plain, (esk181_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|in(esk183_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1038, plain, (empty(X1)|in(esk183_3(X1,X2,X3),X1)|in(esk177_2(X1,X2),X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_873, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|empty(X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1203, plain, (unordered_pair(esk211_1(X1),esk211_1(X1))=esk212_1(X1)|in(esk215_3(X1,X2,X3),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2114, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|ordinal(esk371_0)|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1763, lemma, (in(esk329_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk328_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_428, plain, (X1=complements_of_subsets(X2,X3)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2)))|~in(subset_complement(X2,esk101_3(X2,X3,X1)),X3)|~in(esk101_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_2106, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|element(esk373_0,powerset(powerset(esk371_0)))|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1918, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|function(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2374, lemma, (X1=empty_set|in(unordered_pair(unordered_pair(esk408_1(X1),esk408_1(X1)),unk370_2(X1,X2))|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1979, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_122, plain, (open_subset(esk11_4(X1,X2,topstr_closure(X1,X2),X3),X1)|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_1934, lemma, (esk353_3(X1,X2,X3)=X3|in(esk350_2(X1,X2),X1)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_962, lemma, (in(esk165_2(X1,X2),X2)|in(X3,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1500, plain, (esk253_2(X1,X2)=esk254_2(X1,X2)|esk261_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1468, plain, (esk253_2(X1,X2)=esk255_2(X1,X2)|esk261_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1597, plain, (esk271_2(X1,X2)=esk272_2(X1,X2)|esk279_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1347, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1312, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2092, lemma, (function(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2093, lemma, (relation(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1408, plain, (subset_complement(the_carrier(X1),esk251_3(X1,X2,X3))=X3|esk248_2(X1,X2)!=esk249_2(X1,X2)|~one_sorted_str(X1)|~element(esk251_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1565, plain, (esk271_2(X1,X2)=esk273_2(X1,X2)|esk279_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1581, plain, (esk279_4(X1,X2,X3,X4)=X4|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1549, plain, (esk279_4(X1,X2,X3,X4)=X4|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_133, plain, (X1=relation_inverse_image(X2,X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk18_3(X2,X3,X1),X4),unordered_pair(esk18_3(X2,X3,X1),esk18_3(X2,X3,X1))),X2)|~in(esk18_3(X2,X3,X1),X1)|~in(X4,X3))).
% 8.22/2.39 cnf(i_0_2039, lemma, (esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_224, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),inclusion_relation(X3))|~subset(X1,X2)|~in(X2,X3)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2103, lemma, (X1=empty_set|in(esk375_2(X2,X1),X1)|in(esk374_1(X3),esk373_0)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk373_0)|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_2101, lemma, (X1=empty_set|subset(X2,esk374_1(X2))|in(esk375_2(X3,X1),X1)|~ordinal(X3)|~element(X1,powerset(powerset(X3)))|~in(X2,esk373_0)|~in(X3,omega))).
% 8.22/2.39 cnf(i_0_2032, lemma, (function(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_strordered_pair(esk408_1(X1),esk409_1(X1))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_841, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|empty(X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1151, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|esk196_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1097, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|esk196_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2407, 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)))).
% 8.22/2.39 cnf(i_0_1919, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|relation(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2453, plain, (X1=esk417_1(X2)|X2=empty_set|epred1_0|esk415_1(X3)!=X3|~subset(esk417_1(X2),X1)|~element(X2,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X3,esk414_0)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1516, plain, (in(esk269_3(X1,X2,X3),X2)|in(esk265_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1338, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|element(esk229_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1864, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|function(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1865, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|relation(esk352_2(X1,X2))|empty(X1)|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_300, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk66_3(X2,X3,X1),X1)|~in(esk66_3(X2,X3,X1),X3)|~in(esk66_3(X2,X3,X1),X2))).
% 8.22/2.39 cnf(i_0_816, lemma, (esk154_4(X1,X2,X3,X4)=X3|empty(X1)|esk150_2(X1,X2)!=esk149_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1917, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1303, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|element(esk230_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1409, plain, (in(esk251_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|esk248_2(X1,X2)!=esk249_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1341, plain, (esk232_3(X1,X2,X3)=X3|element(esk229_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1306, plain, (esk232_3(X1,X2,X3)=X3|element(esk230_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1863, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1809, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk350_2(X1,X2),X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1723, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|in(esk311_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1699, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|in(esk311_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1711, plain, (esk307_2(X1,X2)=esk305_2(X1,X2)|in(esk311_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1687, plain, (esk308_2(X1,X2)=esk306_2(X1,X2)|in(esk311_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_682, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk115_1(X1),esk115_1(X1)),unordered_pair(esk115_1(X1),esk116_1(X1))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1339, plain, (esk233_3(X1,X2,X3)=X3|element(esk229_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1505, plain, (subset_complement(the_carrier(X1),esk269_3(X1,X2,X3))=X3|esk266_2(X1,X2)!=esk267_2(X1,X2)|~one_sorted_str(X1)|~element(esk269_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_94, plain, (X1=relation_image(X2,X3)|in(esk7_3(X2,X3,X1),relation_dom(X2))|in(esk6_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_1747, lemma, (X1=esk322_3(X2,X3,X4)|X4=empty_set|~subset(esk322_3(X2,X3,X4),X1)|~ordinal(X2)|~element(X4,powerset(powerset(esk321_2(X2,X3))))|~in(esk321_2(X2,X3),omega)|~in(X3,esk320_1(X2))|~in(X1,X4))).
% 8.22/2.39 cnf(i_0_1350, plain, (in(X1,esk237_2(X2,X3))|esk236_2(X2,X3)!=esk235_2(X2,X3)|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~in(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_109, plain, (X1=relation_inverse_image(X2,X3)|in(esk10_3(X2,X3,X1),relation_dom(X2))|in(esk10_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_2033, lemma, (relation(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1319, plain, (subset(X1,esk227_2(X2,X1))|element(esk233_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk231_2(X2,X1)))).
% 8.22/2.39 cnf(i_0_1284, plain, (subset(X1,esk228_2(X2,X1))|element(esk233_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk231_2(X2,X1)))).
% 8.22/2.39 cnf(i_0_1326, plain, (closed_subset(esk229_2(X1,X2),X1)|element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_221, plain, (inclusion_relation(relation_field(X1))=X1|~subset(esk40_2(relation_field(X1),X1),esk41_2(relation_field(X1),X1))|~relation(X1)|~in(unordered_pair(unordered_pair(esk40_2(relation_field(X1),X1),esk40_2(relation_field(X1),X1)),unordered_pair(esk40_2(relation_field(X1),X1),esk41_2(relation_field(X1),X1))),X1))).
% 8.22/2.39 cnf(i_0_189, plain, (unordered_pair(unordered_pair(esk30_2(X1,X2),esk30_2(X1,X2)),unordered_pair(esk30_2(X1,X2),esk31_2(X1,X2)))=X2|~relation(X1)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1249, plain, (in(X1,esk220_1(X2))|esk225_4(X2,X1,X1,X3)!=X3|esk218_1(X2)!=esk219_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk224_3(X2,X1,X1)))).
% 8.22/2.39 cnf(i_0_1317, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|subset(X2,esk227_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1282, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|subset(X2,esk228_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1324, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|closed_subset(esk229_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1291, plain, (closed_subset(esk230_2(X1,X2),X1)|element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1434, plain, (in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_164, 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)))).
% 8.22/2.39 cnf(i_0_233, 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)))).
% 8.22/2.39 cnf(i_0_1798, lemma, (function(esk352_2(X1,X2))|empty(X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_894, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk159_1(X2))|in(esk156_1(X2),X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1289, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|closed_subset(esk230_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1671, plain, (esk299_3(X1,X2,X3)=esk300_3(X1,X2,X3)|in(relation_image(X3,X4),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1663, plain, (esk299_3(X1,X2,X3)=esk301_3(X1,X2,X3)|in(relation_image(X3,X4),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1176, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1504, plain, (element(esk270_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk268_2(X1,X2))|esk266_2(X1,X2)!=esk267_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1342, plain, (element(esk229_2(X1,X2),powerset(the_carrier(X1)))|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1307, plain, (element(esk230_2(X1,X2),powerset(the_carrier(X1)))|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_115, plain, (X1=topstr_closure(X2,X3)|disjoint(X3,esk13_3(X2,X3,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk12_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1799, lemma, (relation(esk352_2(X1,X2))|empty(X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1122, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1149, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1095, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1158, plain, (empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2088, lemma, (esk369_3(X1,X2,X3)=esk368_2(X1,X2)|function(esk370_2(X1,X2))|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_117, plain, (X1=topstr_closure(X2,X3)|open_subset(esk13_3(X2,X3,X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk12_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_2020, lemma, (function(esk364_2(X1,X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2021, lemma, (relation(esk364_2(X1,X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1745, lemma, (element(esk323_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk320_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.39 cnf(i_0_2089, lemma, (esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation(esk370_2(X1,X2))|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1104, plain, (empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_320, plain, (X1=X2|~is_antisymmetric_i_1304, plain, (esk233_3(X1,X2,X3)=X3|element(esk230_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1938, lemma, (apply(esk358_1(X1),X2)=unordered_pair(X2,X2)|esk356_1(X1)!=esk355_1(X1)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_681, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk115_1(X1),esk116_1(X1)),unordered_pair(esk116_1(X1),esk116_1(X1))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1705, plain, (in(esk311_3(X1,X2,X3),X1)|in(esk307_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1681, plain, (in(esk311_3(X1,X2,X3),X1)|in(esk308_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1068, plain, (empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_671, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk111_1(X1),esk111_1(X1)),unordered_pair(esk111_1(X1),esk112_1(X1))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1002, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|ordinal(esk171_0)|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1000, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|being_limit_ordinal(esk171_0)|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2472, plain, (X1=empty_set|epred1_0|in(esk415_1(X2),esk414_0)|in(esk417_1(X1),X1)|~element(X1,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X2,esk414_0))).
% 8.22/2.39 cnf(i_0_2463, plain, (X1=empty_set|epred1_0|subset(X2,esk415_1(X2))|in(esk417_1(X1),X1)|~element(X1,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X2,esk414_0))).
% 8.22/2.39 cnf(i_0_346, plain, (apply(X1,esk79_2(X1,X2))=esk78_2(X1,X2)|X2=relation_rng(X1)|in(esk78_2(X1,X2),X2)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_670, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk112_1(X1),esk112_1(X1)),unordered_pair(esk112_1(X1),esk113_1(X1))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1531, plain, (in(esk280_4(X1,X2,X3,X4),X2)|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1741, lemma, (in(X1,esk320_1(X2))|esk324_4(X2,X1,X1,X3)!=X3|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk323_3(X2,X1,X1)))).
% 8.22/2.39 cnf(i_0_1055, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|esk180_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1935, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk350_2(X1,X2),X1)|in(esk345_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2047, lemma, (relation_dom(esk370_2(X1,X2))=X2|in(esk368_2(X1,X2),X2)|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2108, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|in(esk371_0,omega)|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_990, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|element(esk173_0,powerset(powerset(esk171_0)))|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1345, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|closed_subset(esk233_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1031, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|esk181_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2399, lemma, (X1=empty_set|in(apply(X2,X3),relation_rng(X2))|~quasi_total(X2,X4,X1)|~relation_of2_as_subset(X2,X4,X1)|~function(X2)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1252, plain, (in(X1,esk220_1(X2))|esk224_3(X2,X1,X1)!=empty_set|esk218_1(X2)!=esk219_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 8.22/2.39 cnf(i_0_1502, plain, (in(X1,esk268_2(X2,X3))|subset_complement(the_carrier(X2),esk270_4(X2,X3,X1,X4))!=X1|esk266_2(X2,X3)!=esk267_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X4,X3))).
% 8.22/2.39 cnf(i_0_299, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk66_3(X2,X3,X1),X2)|in(esk66_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1310, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|closed_subset(esk233_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1331, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|closed_subset(esk233_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1296, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|closed_subset(esk233_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1983, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1900, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk346_2(X1,X2),esk348_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2221, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(esk386_3(X2,X1,X3),X4),unordered_pair(esk386_3(X2,X1,X3),esk386_3(X2,X1,X3))),X3))).
% 8.22/2.39 cnf(i_0_218, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(X1,fiber(X3,X2)))).
% 8.22/2.39 cnf(i_0_1367, plain, (esk234_2(X1,X2)=esk235_2(X1,X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1359, plain, (esk234_2(X1,X2)=esk236_2(X1,X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2043, lemma, (relation_dom(esk370_2(X1,X2))=X2|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_307, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,apply(X2,X1))),X2)|~relation(X2)|~function(X2)|~in(X1,relation_dom(X2)))).
% 8.22/2.39 cnf(i_0_1846, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk347_2(X1,X2),esk349_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_127, plain, (X1=relation_image(X2,X3)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,esk15_3(X2,X3,X1)),unordered_pair(X4,X4)),X2)|~in(esk15_3(X2,X3,X1),X1)|~in(X4,X3))).
% 8.22/2.39 cnf(i_0_1373, plain, (esk245_3(X1,X2,X3)=X3|esk241_2(X1,X2)!=esk240_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2366, lemma, (in(apply(function_inverse(X1),X2),relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.22/2.39 cnf(i_0_1901, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk346_2(X1,X2),esk348_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2084, lemma, (function(esk370_2(X1,X2))|in(esk365_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2085, lemma, (relation(esk370_2(X1,X2))|in(esk365_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_184, plain, (in(subset_intersection2(the_carrier(X1),X2,X3),the_topology(X1))|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_topology(X1))|~in(X2,the_topology(X1)))).
% 8.22/2.39 cnf(i_0_1335, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1847, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk347_2(X1,X2),esk349_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2327, lemma, (X1=empty_set|in(X2,relation_inverse_image(X3,X4))|~quasi_total(X3,X5n(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))).
% 8.22/2.39 cnf(i_0_1632, plain, (esk283_3(X1,X2,X3)=esk284_3(X1,X2,X3)|esk291_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1617, plain, (esk283_3(X1,X2,X3)=esk285_3(X1,X2,X3)|esk291_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_987, lemma, (X1=empty_set|in(esk175_2(X2,X1),X1)|in(esk174_1(X3),esk173_0)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk173_0)|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_985, lemma, (X1=empty_set|subset(X2,esk174_1(X2))|in(esk175_2(X3,X1),X1)|~epred1_0|~ordinal(X3)|~element(X1,powerset(powerset(X3)))|~in(X2,esk173_0)|~in(X3,omega))).
% 8.22/2.39 cnf(i_0_1419, plain, (in(esk251_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|in(esk247_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_136, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk17_4(X2,X3,relation_inverse_image(X2,X3),X1))),X2)|~relation(X2)|~in(X1,relation_inverse_image(X2,X3)))).
% 8.22/2.39 cnf(i_0_1179, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1374, plain, (in(esk245_3(X1,X2,X3),powerset(X1))|esk241_2(X1,X2)!=esk240_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2507, plain, (X1=empty_set|in(esk421_4(X2,X3,X4,X1),X1)|~epred2_3(X4,X3,X2)|~element(X1,powerset(powerset(esk420_3(X2,X3,X4))))|~in(esk420_3(X2,X3,X4),omega))).
% 8.22/2.39 cnf(i_0_2502, plain, (X1=empty_set|in(esk423_4(X2,X3,X4,X1),X1)|~epred2_3(X4,X3,X2)|~element(X1,powerset(powerset(esk422_3(X2,X3,X4))))|~in(esk422_3(X2,X3,X4),omega))).
% 8.22/2.39 cnf(i_0_815, lemma, (empty(X1)|in(X2,esk154_4(X1,X3,X4,X2))|esk150_2(X1,X3)!=esk149_2(X1,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),esk153_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_1125, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1407, plain, (element(esk252_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk250_2(X1,X2))|esk248_2(X1,X2)!=esk249_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_2471, plain, (X1=esk417_1(X2)|X2=empty_set|epred1_0|in(esk415_1(X3),esk414_0)|~subset(esk417_1(X2),X1)|~element(X2,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X3,esk414_0)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2462, plain, (X1=esk417_1(X2)|X2=empty_set|epred1_0|subset(X3,esk415_1(X3))|~subset(esk417_1(X2),X1)|~element(X2,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X3,esk414_0)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1349, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1862, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|esk353_3(X1,X2,X3)=X3|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1152, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1098, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1161, plain, (empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1107, plain, (empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1066, plain, (empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X4,esk195_3(X1,X1)|~relation_of2_as_subset(X3,X5,X1)|~function(X3)|~in(apply(X3,X2),X4)|~in(X2,X5))).
% 8.22/2.39 cnf(i_0_125, plain, (X1=relation_image(X2,X3)|in(esk16_3(X2,X3,X1),X3)|in(esk15_3(X2,X3,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_80, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),identity_relation(X2))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1300, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1369, plain, (esk234_2(X1,X2)=esk235_2(X1,X2)|in(esk238_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_123, plain, (element(esk11_4(X1,X2,topstr_closure(X1,X2),X3),powerset(the_carrier(X1)))|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_131, plain, (X1=relation_inverse_image(X2,X3)|in(esk19_3(X2,X3,X1),X3)|in(esk18_3(X2,X3,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2363, lemma, (apply(function_inverse(X1),apply(X1,X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 8.22/2.39 cnf(i_0_1899, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk346_2(X1,X2),esk348_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1361, plain, (esk234_2(X1,X2)=esk236_2(X1,X2)|in(esk238_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2120, lemma, (in(X1,esk377_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~subset(X3,X1)|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_1348, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|esk232_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1736, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk317_2(X2,X3))|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1845, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk347_2(X1,X2),esk349_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2324, lemma, (in(X1,X2)|~closed_subset(X2,X3)|~top_str(X3)|~subset(X4,X2)|~element(X2,powerset(the_carrier(X3)))|~element(X4,powerset(the_carrier(X3)))|~in(X1,topstr_closure(X3,X4))|~in(X1,the_carrier(X3)))).
% 8.22/2.39 cnf(i_0_1679, plain, (in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|esk306_2(X1,X2)!=esk305_2(X1,X2)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1067, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1244, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|esk206_1(X1)=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1313, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|esk232_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1334, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|esk232_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1299, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|esk232_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1346, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|esk233_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_884, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk159_1(X2))|esk158_1(X2)!=esk157_1(X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1220, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|esk206_1(X1)=esk208_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1196, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216,X2,X3)))).
% 8.22/2.39 cnf(i_0_1048, plain, (empty(X1)|in(esk178_2(X1,X2),esk180_2(X1,X2))|in(X3,esk184_3(X1,X2,X3))|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1314, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1321, plain, (subset(X1,esk227_2(X2,X1))|in(esk232_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk231_2(X2,X1)))).
% 8.22/2.39 cnf(i_0_1286, plain, (subset(X1,esk228_2(X2,X1))|in(esk232_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk231_2(X2,X1)))).
% 8.22/2.39 cnf(i_0_1328, plain, (closed_subset(esk229_2(X1,X2),X1)|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2358, lemma, (apply(X1,esk407_2(X1,X2))=esk406_2(X1,X2)|apply(X2,esk404_2(X1,X2))=esk405_2(X1,X2)|X2=function_inverse(X1)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.22/2.39 cnf(i_0_1024, plain, (empty(X1)|in(esk179_2(X1,X2),esk181_2(X1,X2))|in(X3,esk184_3(X1,X2,X3))|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1371, plain, (set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk241_2(X1,X2)!=esk240_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2506, plain, (X1=esk421_4(X2,X3,X4,X5)|X5=empty_set|~epred2_3(X4,X3,X2)|~subset(esk421_4(X2,X3,X4,X5),X1)|~element(X5,powerset(powerset(esk420_3(X2,X3,X4))))|~in(esk420_3(X2,X3,X4),omega)|~in(X1,X5))).
% 8.22/2.39 cnf(i_0_2501, plain, (X1=esk423_4(X2,X3,X4,X5)|X5=empty_set|~epred2_3(X4,X3,X2)|~subset(esk423_4(X2,X3,X4,X5),X1)|~element(X5,powerset(powerset(esk422_3(X2,X3,X4))))|~in(esk422_3(X2,X3,X4),omega)|~in(X1,X5))).
% 8.22/2.39 cnf(i_0_1050, plain, (empty(X1)|in(esk178_2(X1,X2),esk180_2(X1,X2))|in(esk183_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1293, plain, (closed_subset(esk230_2(X1,X2),X1)|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2031, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1406, plain, (esk252_4(X1,X2,X3,X4)=X4|in(X3,esk250_2(X1,X2))|esk248_2(X1,X2)!=esk249_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1498, plain, (esk253_2(X1,X2)=esk254_2(X1,X2)|in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1797, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1026, plain, (empty(X1)|in(esk179_2(X1,X2),esk181_2(X1,X2))|in(esk183_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1402, plain, (esk239_2(X1,X2)=esk240_2(X1,X2)|in(esk246_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1387, plain, (esk239_2(X1,X2)=esk241_2(X1,X2)|in(esk246_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1657, plain, (in(esk303_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|esk301_3(X1,X2,X3)!=esk300_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_848, lemma, (esk154_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk148_2(X1,X_3(X1,X2,X3)|esk208_1(X1)!=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_901, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk157_1(X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_891, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk158_1(X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_913, lemma, (in(X1,complements_of_subsets(the_carrier(X2),X3))|esk161_2(X2,X3)!=esk162_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk163_2(X2,X3)))).
% 8.22/2.39 cnf(i_0_2178, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk382_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 8.22/2.39 cnf(i_0_1311, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|esk233_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1332, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|esk233_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1297, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|esk233_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1368, plain, (esk234_2(X1,X2)=esk235_2(X1,X2)|esk238_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1962, lemma, (apply(esk358_1(X1),X2)=unordered_pair(X2,X2)|in(esk354_1(X1),X1)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_95, plain, (X1=relation_image(X2,X3)|esk6_3(X2,X3,X1)!=apply(X2,X4)|~relation(X2)|~function(X2)|~in(esk6_3(X2,X3,X1),X1)|~in(X4,relation_dom(X2))|~in(X4,X3))).
% 8.22/2.39 cnf(i_0_1071, plain, (empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1731, lemma, (empty(X1)|in(esk314_4(X1,X2,X3,X4),esk315_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk312_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2098, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|esk374_1(X4)!=X4|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk373_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2095, lemma, (relation_dom(esk370_2(X1,X2))=X2|in(esk368_2(X1,X2),X2)|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1360, plain, (esk234_2(X1,X2)=esk236_2(X1,X2)|esk238_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1320, plain, (esk232_3(X1,X2,X3)=X3|subset(X2,esk227_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1285, plain, (esk232_3(X1,X2,X3)=X3|subset(X2,esk228_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1318, plain, (esk233_3(X1,X2,X3)=X3|subset(X2,esk227_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1954, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk355_1(X1)|apply(esk358_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_273, plain, (X1=cartesian_product2(X2,X3)|esk56_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk56_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1405, plain, (in(X1,esk250_2(X2,X3))|subset_complement(the_carrier(X2),esk252_4(X2,X3,X1,X4))!=X1|esk248_2(X2,X3)!=esk249_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X4,complements_of_subsets(the_carrier(X2),X3)))).
% 8.22/2.39 cnf(i_0_1762, lemma, (set_difference(esk329_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk328_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1054, plain, (esk180_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|in(X3,esk184_3(X1,X2,X3))|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1030, plain, (esk1812),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1142, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1466, plain, (esk253_2(X1,X2)=esk255_2(X1,X2)|in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2028, lemma, (function(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2029, lemma, (relation(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2019, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1898, lemma, (esk353_3(X1,X2,X3)=X3|in(esk346_2(X1,X2),esk348_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1088, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_108, plain, (X1=relation_inverse_image(X2,X3)|in(apply(X2,esk10_3(X2,X3,X1)),X3)|in(esk10_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_1674, plain, (in(X1,esk309_2(X2,X3))|esk306_2(X2,X3)!=esk305_2(X2,X3)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1484, plain, (esk261_4(X1,X2,X3,X4)=X4|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1452, plain, (esk261_4(X1,X2,X3,X4)=X4|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1975, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1804, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1241, plain, (unordered_pair(unordered_pair(esk209_1(X1),esk209_1(X1)),unordered_pair(esk209_1(X1),esk210_1(X1)))=esk207_1(X1)|esk214_3(X1,X2,X3)=X3|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1256, plain, (X1=empty_set|in(esk223_3(X2,X3,X1),X1)|esk218_1(X2)!=esk219_1(X2)|~ordinal(X2)|~element(X1,powerset(powerset(esk222_2(X2,X3))))|~in(esk222_2(X2,X3),omega)|~in(X3,esk220_1(X2)))).
% 8.22/2.39 cnf(i_0_1175, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|esk186_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1121, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|esk186_2(X1,X2)=esk188_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1148, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|esk189_2(X1,X2)=esk191_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1217, plain, (unordered_pair(unordered_pair(esk211_1(X1),esk211_1(X1)),unordered_pair(esk211_1(X1),esk212_1(X1)))=esk208_1(X1)|esk214_3(X1,X2,X3)=X3|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1595, plain, (esk271_2(X1,X2)=esk272_2(X1,X2)|in(esk280_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1563, plain, (esk271_2(X1,X2)=esk273_2(X1,X2)|in(esk280_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1366, plain, (esk234_2(X1,X2)=esk235_2(X1,X2)|in(X3,esk23_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|in(X3,esk184_3(X1,X2,X3))|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1283, plain, (esk233_3(X1,X2,X3)=X3|subset(X2,esk228_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1327, plain, (esk232_3(X1,X2,X3)=X3|closed_subset(esk229_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1292, plain, (esk232_3(X1,X2,X3)=X3|closed_subset(esk230_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1325, plain, (esk233_3(X1,X2,X3)=X3|closed_subset(esk229_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1946, lemma, (unordered_pair(esk354_1(X1),esk354_1(X1))=esk356_1(X1)|apply(esk358_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1036, plain, (empty(X1)|in(X2,esk184_3(X1,X3,X2))|in(esk177_2(X1,X3),X1)|~relation(X3)|~in(X2,esk182_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_342, plain, (X1=set_difference(X2,X3)|in(esk76_3(X2,X3,X1),X3)|~in(esk76_3(X2,X3,X1),X1)|~in(esk76_3(X2,X3,X1),X2))).
% 8.22/2.39 cnf(i_0_1290, plain, (esk233_3(X1,X2,X3)=X3|closed_subset(esk230_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1178, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|esk196_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1340, plain, (element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk229_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1305, plain, (element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk230_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_935, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|function(esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2362, lemma, (X1=function_inverse(X2)|in(esk407_2(X2,X1),relation_dom(X2))|in(esk404_2(X2,X1),relation_rng(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 8.22/2.39 cnf(i_0_1124, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|esk196_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_849, lemma, (empty(X1)|in(esk148_2(X1,X2),X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1160, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1106, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1232, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|in(esk209_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_936, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|relation(esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_921, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|function(esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2359, lemma, (apply(X1,esk404_2(X2,X1))=esk405_2(X2,X1)|X1=function_inverse(X2)|in(esk407_2(X2,X1),relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 8.22/2.39 cnf(i_0_1208, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|in(esk211_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1372, plain, (in(esk246_3(X1,X2,X3),X2)|esk241_2(X1,X2)!=esk240_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powe7_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1805, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1049, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|empty(X1)|in(esk178_2(X1,X2),esk180_2(X1,X2))|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1094, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|esk192_2(X1,X2)=esk194_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1157, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1103, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1579, plain, (in(esk280_4(X1,X2,X3,X4),X2)|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1025, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|empty(X1)|in(esk179_2(X1,X2),esk181_2(X1,X2))|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1358, plain, (esk234_2(X1,X2)=esk236_2(X1,X2)|in(X3,esk237_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1547, plain, (in(esk280_4(X1,X2,X3,X4),X2)|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1404, plain, (esk239_2(X1,X2)=esk240_2(X1,X2)|in(esk245_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1844, lemma, (esk353_3(X1,X2,X3)=X3|in(esk347_2(X1,X2),esk349_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1709, plain, (in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk307_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2214, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|X4=empty_set|~quasi_total(X1,X5,X4)|~relation_of2_as_subset(X1,X5,X4)|~relation(X2)|~function(X2)|~function(X1)|~in(X3,X5))).
% 8.22/2.39 cnf(i_0_1685, plain, (in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk308_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1389, plain, (esk239_2(X1,X2)=esk241_2(X1,X2)|in(esk245_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1512, plain, (in(esk265_2(X1,X2),X2)|in(X3,esk268_2(X1,X2))|subset_complement(the_carrier(X1),esk270_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_116, plain, (X1=topstr_closure(X2,X3)|in(esk12_3(X2,X3,X1),esk13_3(X2,X3,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk12_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1761, lemma, (in(set_difference(X1,unordered_pair(X2,X2)),esk328_2(X2,X3))|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_92, plain, (apply(X1,esk7_3(X1,X2,X3))=esk6_3(X1,X2,X3)|X3=relation_image(X1,X2)|in(esk6_3(X1,X2,X3),X3)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_1009, plain, (in(X1,esk182_2(X2,X3))|esk179_2(X2,X3)!=esk178_2(X2,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk185_5(X2,X3,X1,X4,X4))),X3)|~in(X4,X2)|~in(X1,X4))).
% 8.22/2.39 cnf(i_0_865, lemma, (empty(X1)|in(esk149_2(X1,X2),esk151_2(X1,X2))|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_833, lemma, (empty(X1)|in(esk150_2(X1,X2),esk152_2(X1,X2))|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnrset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_992, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|in(esk171_0,omega)|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_110, plain, (X1=relation_inverse_image(X2,X3)|~relation(X2)|~function(X2)|~in(apply(X2,esk10_3(X2,X3,X1)),X3)|~in(esk10_3(X2,X3,X1),relation_dom(X2))|~in(esk10_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_872, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|esk154_4(X1,X2,X3,X4)=X3|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_922, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|relation(esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_970, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|function(esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_314, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk67_3(X2,relation_dom(X2),X1))),X2)|~relation(X2)|~in(X1,relation_dom(X2)))).
% 8.22/2.39 cnf(i_0_1230, plain, (unordered_pair(esk209_1(X1),esk209_1(X1))=esk210_1(X1)|in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_840, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|esk154_4(X1,X2,X3,X4)=X3|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1603, plain, (in(esk291_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|esk285_3(X1,X2,X3)!=esk284_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_982, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|esk174_1(X4)!=X4|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk173_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1037, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|empty(X1)|in(esk177_2(X1,X2),X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1206, plain, (unordered_pair(esk211_1(X1),esk211_1(X1))=esk212_1(X1)|in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_971, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|relation(esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_956, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|function(esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2361, lemma, (apply(X1,esk407_2(X1,X2))=esk406_2(X1,X2)|X2=function_inverse(X1)|in(esk404_2(X1,X2),relation_rng(X1))|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.22/2.39 cnf(i_0_1721, plain, (ordinal(esk307_2(X1,X2))|in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1697, plain, (ordinal(esk308_2(X1,X2))|in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_79, plain, (X1=identity_relation(X2)|esk2_2(X2,X1)!=esk1_2(X2,X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)|~in(esk1_2(X2,X1),X2))).
% 8.22/2.39 cnf(i_0_1254, plain, (in(X1,esk220_1(X2))|in(X1,omega)|esk218_1(X2)!=esk219_1(X2)|~ordinal(X2)|~ordinal(X1)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 8.22/2.39 cnf(i_0_957, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|relation(esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_118, plain, (X1=topstr_closure(X2,X3)|element(esk13_3(X2,X3,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~if(i_0_2220, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk387_4(X2,X3,X4,X1))),X4)|relation_dom_as_subset(X3,X2,X4)!=X3|~relation_of2_as_subset(X4,X3,X2)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1272, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|in(esk221_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_1598, plain, (esk271_2(X1,X2)=esk272_2(X1,X2)|in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1566, plain, (esk271_2(X1,X2)=esk273_2(X1,X2)|in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2091, lemma, (relation_dom(esk370_2(X1,X2))=X2|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1398, plain, (esk245_3(X1,X2,X3)=X3|in(esk242_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2102, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|in(esk374_1(X4),esk373_0)|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk373_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_317, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk70_2(X1,X2),esk70_2(X1,X2)),unordered_pair(esk70_2(X1,X2),esk71_2(X1,X2))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1255, plain, (X1=esk223_3(X2,X3,X4)|X4=empty_set|esk218_1(X2)!=esk219_1(X2)|~subset(esk223_3(X2,X3,X4),X1)|~ordinal(X2)|~element(X4,powerset(powerset(esk222_2(X2,X3))))|~in(esk222_2(X2,X3),omega)|~in(X3,esk220_1(X2))|~in(X1,X4))).
% 8.22/2.39 cnf(i_0_388, 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))).
% 8.22/2.39 cnf(i_0_316, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk70_2(X1,X2),esk71_2(X1,X2)),unordered_pair(esk71_2(X1,X2),esk71_2(X1,X2))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1383, plain, (esk245_3(X1,X2,X3)=X3|in(esk243_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_124, plain, (~disjoint(X1,X2)|~open_subset(X2,X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~element(X2,powerset(the_carrier(X3)))|~in(X4,topstr_closure(X3,X1))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1582, plain, (in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_389, 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)))).
% 8.22/2.39 cnf(i_0_422, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk98_2(X1,X2),esk98_2(X1,X2)),unordered_pair(esk98_2(X1,X2),esk99_2(X1,X2))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1633, plain, (esk283_3(X1,X2,X3)=esk284_3(X1,X2,X3)|in(esk291_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1618, plain, (esk283_3(X1,X2,X3)=esk285_3(X1,X2,X3)|in(esk291_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1550, plain, (in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1672, plain, (esk299_3(X1,X2,X3)=esk300_3(X1,X2,X3)|esk303_4(X1,X2,X3,X4)=X4|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_421, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk99_2(X1,X2),esk99_2(X1,X2)),unordered_pair(esk99_2(X1,X2),esk100_2(X1,X2))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1437, plain, (in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(Xn(esk12_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_2083, lemma, (relation_dom(esk370_2(X1,X2))=X2|in(esk365_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1916, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|esk353_3(X1,X2,X3)=X3|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_93, plain, (X1=relation_image(X2,X3)|in(esk7_3(X2,X3,X1),X3)|in(esk6_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_900, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk157_1(X1)|X2=unordered_pair(X3,X3)|~in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_890, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk158_1(X1)|X2=unordered_pair(X3,X3)|~in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),esk159_1(X1)))).
% 8.22/2.39 cnf(i_0_2393, lemma, (X1=relation_dom_restriction(X2,X3)|apply(X1,esk410_3(X3,X1,X2))!=apply(X2,esk410_3(X3,X1,X2))|relation_dom(X1)!=set_difference(relation_dom(X2),set_difference(relation_dom(X2),X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.22/2.39 cnf(i_0_1748, lemma, (X1=empty_set|in(esk322_3(X2,X3,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(esk321_2(X2,X3))))|~in(esk321_2(X2,X3),omega)|~in(X3,esk320_1(X2)))).
% 8.22/2.39 cnf(i_0_298, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk66_3(X2,X3,X1),X3)|in(esk66_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1752, lemma, (in(X1,esk325_2(X2,X3))|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~subset(X3,X1)|~element(X3,powerset(the_carrier(X2)))|~in(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_120, plain, (disjoint(X1,esk11_4(X2,X1,topstr_closure(X2,X1),X3))|in(X3,topstr_closure(X2,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,the_carrier(X2)))).
% 8.22/2.39 cnf(i_0_1727, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1403, plain, (esk239_2(X1,X2)=esk240_2(X1,X2)|esk245_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1388, plain, (esk239_2(X1,X2)=esk241_2(X1,X2)|esk245_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1534, plain, (in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1808, lemma, (esk353_3(X1,X2,X3)=X3|in(esk350_2(X1,X2),X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1703, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1976, lemma, (esk363_3(X1,X2,X3)=esk362_2(X1,X2)|function(esk364_2(X1,X2))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_121, plain, (in(X1,esk11_4(X2,X3,topstr_closure(X2,X3),X1))|in(X1,topstr_closure(X2,X3))|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~in(X1,the_carrier(X2)))).
% 8.22/2.39 cnf(i_0_1715, plain, (esk307_2(X1,X2)=esk305_2(X1,X2)|in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1503, plain, (esk270_4(X1,X2,X3,X4)=X4|in(X3,esk268_2(X1,X2))|esk266_2(X1,X2)!=esk267_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1691, plain, (esk308_2(X1,X2)=esk306_2(X1,X2)|in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1977, lemma, (esk363_3(X1,X2,X3)=esk362_2(X1,X2)|relation(esk364_2(X1,X2))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2040, lemma, (esk369_3(X1,X2,X3)=esk368_2(X1,X2)|function(esk370_2(X1,X2))|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2041, lemma, (esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation(es1),X2),X3))|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2027, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1513, plain, (esk270_4(X1,X2,X3,X4)=X4|in(esk265_2(X1,X2),X2)|in(X3,esk268_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_986, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|in(esk174_1(X4),esk173_0)|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk173_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2087, lemma, (esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1664, plain, (esk299_3(X1,X2,X3)=esk301_3(X1,X2,X3)|esk303_4(X1,X2,X3,X4)=X4|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2100, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|subset(X4,esk374_1(X4))|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk373_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1742, lemma, (subset(X1,esk324_4(X2,X3,X3,X1))|in(X3,esk320_1(X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X1,esk323_3(X2,X3,X3)))).
% 8.22/2.39 cnf(i_0_1364, plain, (esk238_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk235_2(X1,X2)),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1356, plain, (esk238_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk236_2(X1,X2)),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_899, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk157_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk159_1(X1))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1226, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|unordered_pair(esk209_1(X1),esk209_1(X1))=esk210_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1768, lemma, (subset_complement(the_carrier(X1),esk331_4(X1,X2,X3,X4))=esk332_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk331_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1775, lemma, (subset_complement(the_carrier(X1),esk335_4(X1,X2,X3,X4))=esk336_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk335_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk334_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1515, plain, (subset_complement(the_carrier(X1),esk269_3(X1,X2,X3))=X3|in(esk265_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk269_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_889, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk158_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk159_1(X1))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_2406, 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))).
% 8.22/2.39 cnf(i_0_1010, plain, (in(esk185_5(X1,X2,X3,X4,X4),X4)|in(X3,esk182_2(X1,X2))|esk179_2(X1,X2)!=esk178_2(X1,X2)|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1202, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|unordered_pair(esk211_1(X1),esk211_1(X1))=esk212_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_90, 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)))).
% 8.22/2.39 cnf(i_0_984, lemma, (X1k370_2(X1,X2))|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1979, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_122, plain, (open_subset(esk11_4(X1,X2,topstr_closure(X1,X2),X3),X1)|in(X3,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_carrier(X1)))).
% 8.22/2.39 cnf(i_0_1934, lemma, (esk353_3(X1,X2,X3)=X3|in(esk350_2(X1,X2),X1)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_962, lemma, (in(esk165_2(X1,X2),X2)|in(X3,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1500, plain, (esk253_2(X1,X2)=esk254_2(X1,X2)|esk261_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1468, plain, (esk253_2(X1,X2)=esk255_2(X1,X2)|esk261_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1597, plain, (esk271_2(X1,X2)=esk272_2(X1,X2)|esk279_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1347, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1312, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2092, lemma, (function(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2093, lemma, (relation(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1408, plain, (subset_complement(the_carrier(X1),esk251_3(X1,X2,X3))=X3|esk248_2(X1,X2)!=esk249_2(X1,X2)|~one_sorted_str(X1)|~element(esk251_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1565, plain, (esk271_2(X1,X2)=esk273_2(X1,X2)|esk279_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1581, plain, (esk279_4(X1,X2,X3,X4)=X4|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1549, plain, (esk279_4(X1,X2,X3,X4)=X4|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_133, plain, (X1=relation_inverse_image(X2,X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk18_3(X2,X3,X1),X4),unordered_pair(esk18_3(X2,X3,X1),esk18_3(X2,X3,X1))),X2)|~in(esk18_3(X2,X3,X1),X1)|~in(X4,X3))).
% 8.22/2.39 cnf(i_0_2039, lemma, (esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_224, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),inclusion_relation(X3))|~subset(X1,X2)|~in(X2,X3)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2103, lemma, (X1=empty_set|in(esk375_2(X2,X1),X1)|in(esk374_1(X3),esk373_0)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk373_0)|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_2101, lemma, (X1=empty_set|subset(X2,esk374_1(X2))|in(esk375_2(X3,X1),X1)|~ordinal(X3)|~element(X1,powerset(powerset(X3)))|~in(X2,esk373_0)|~in(X3,omega))).
% 8.22/2.39 cnf(i_0_2032, lemma, (function(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str=esk175_2(X2,X3)|X3=empty_set|subset(X4,esk174_1(X4))|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk173_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2024, lemma, (esk363_3(X1,X2,X3)=esk362_2(X1,X2)|function(esk364_2(X1,X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2025, lemma, (esk363_3(X1,X2,X3)=esk362_2(X1,X2)|relation(esk364_2(X1,X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_264, plain, (X1=set_union2(X2,X3)|in(esk53_3(X2,X3,X1),X2)|in(esk53_3(X2,X3,X1),X3)|in(esk53_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_104, 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)))).
% 8.22/2.39 cnf(i_0_1667, plain, (in(relation_image(X1,esk300_3(X2,X3,X1)),X3)|in(relation_image(X1,X4),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,esk302_3(X2,X3,X1)))).
% 8.22/2.39 cnf(i_0_1659, plain, (in(relation_image(X1,esk301_3(X2,X3,X1)),X3)|in(relation_image(X1,X4),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,esk302_3(X2,X3,X1)))).
% 8.22/2.39 cnf(i_0_1140, plain, (empty(X1)|in(esk190_2(X1,X2),esk191_2(X1,X2))|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1401, plain, (set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk239_2(X1,X2)=esk240_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1386, plain, (set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk239_2(X1,X2)=esk241_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_912, lemma, (X1=subset_complement(the_carrier(X2),X3)|esk161_2(X2,X4)!=esk162_2(X2,X4)|~one_sorted_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2)))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk163_2(X2,X4)))).
% 8.22/2.39 cnf(i_0_1906, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|function(esk352_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1086, plain, (empty(X1)|in(esk193_2(X1,X2),esk194_2(X1,X2))|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2355, lemma, (apply(X1,esk407_2(X1,X2))=esk406_2(X1,X2)|X2=function_inverse(X1)|apply(X1,esk405_2(X1,X2))!=esk404_2(X1,X2)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk405_2(X1,X2),relation_dom(X1)))).
% 8.22/2.39 cnf(i_0_1654, plain, (in(X1,esk302_3(X2,X3,X4))|esk301_3(X2,X3,X4)!=esk300_3(X2,X3,X4)|~relation(X4)|~function(X4)|~element(X3,powerset(powerset(X2)))|~in(X1,powerset(relation_dom(X4)))|~in(relation_image(X4,X1),X3))).
% 8.22/2.39 cnf(i_0_1174, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_947, lemma, (X1=subset_complement(the_carrier(X2),X3)|esk166_2(X2,X4)!=esk167_2(X2,X4)|~one_sorted_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2)))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk168_2(X2,X4)))).
% 8.22/2.39 cnf(i_0_1514, plain, (element(esk270_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(esk265_2(X1,X2),X2)|in(X3,esk268_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1907, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|relation(esk352_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1120, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk195_3(X1(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1505, plain, (subset_complement(the_carrier(X1),esk269_3(X1,X2,X3))=X3|esk266_2(X1,X2)!=esk267_2(X1,X2)|~one_sorted_str(X1)|~element(esk269_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_94, plain, (X1=relation_image(X2,X3)|in(esk7_3(X2,X3,X1),relation_dom(X2))|in(esk6_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_1747, lemma, (X1=esk322_3(X2,X3,X4)|X4=empty_set|~subset(esk322_3(X2,X3,X4),X1)|~ordinal(X2)|~element(X4,powerset(powerset(esk321_2(X2,X3))))|~in(esk321_2(X2,X3),omega)|~in(X3,esk320_1(X2))|~in(X1,X4))).
% 8.22/2.39 cnf(i_0_1350, plain, (in(X1,esk237_2(X2,X3))|esk236_2(X2,X3)!=esk235_2(X2,X3)|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~in(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_109, plain, (X1=relation_inverse_image(X2,X3)|in(esk10_3(X2,X3,X1),relation_dom(X2))|in(esk10_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_2033, lemma, (relation(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1319, plain, (subset(X1,esk227_2(X2,X1))|element(esk233_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk231_2(X2,X1)))).
% 8.22/2.39 cnf(i_0_1284, plain, (subset(X1,esk228_2(X2,X1))|element(esk233_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk231_2(X2,X1)))).
% 8.22/2.39 cnf(i_0_1326, plain, (closed_subset(esk229_2(X1,X2),X1)|element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_221, plain, (inclusion_relation(relation_field(X1))=X1|~subset(esk40_2(relation_field(X1),X1),esk41_2(relation_field(X1),X1))|~relation(X1)|~in(unordered_pair(unordered_pair(esk40_2(relation_field(X1),X1),esk40_2(relation_field(X1),X1)),unordered_pair(esk40_2(relation_field(X1),X1),esk41_2(relation_field(X1),X1))),X1))).
% 8.22/2.39 cnf(i_0_189, plain, (unordered_pair(unordered_pair(esk30_2(X1,X2),esk30_2(X1,X2)),unordered_pair(esk30_2(X1,X2),esk31_2(X1,X2)))=X2|~relation(X1)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1249, plain, (in(X1,esk220_1(X2))|esk225_4(X2,X1,X1,X3)!=X3|esk218_1(X2)!=esk219_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk224_3(X2,X1,X1)))).
% 8.22/2.39 cnf(i_0_1317, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|subset(X2,esk227_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1282, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|subset(X2,esk228_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1324, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|closed_subset(esk229_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1291, plain, (closed_subset(esk230_2(X1,X2),X1)|element(esk233_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1434, plain, (in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_164, 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)))).
% 8.22/2.39 cnf(i_0_233, 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)))),X2,X3)))).
% 8.22/2.39 cnf(i_0_871, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|empty(X1)|in(X3,esk154_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_839, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|empty(X1)|in(X3,esk154_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_216, plain, (esk39_3(X1,X2,X3)=X2|X3=fiber(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(X2,esk39_3(X1,X2,X3)),unordered_pair(esk39_3(X1,X2,X3),esk39_3(X1,X2,X3))),X1)|~in(esk39_3(X1,X2,X3),X3))).
% 8.22/2.39 cnf(i_0_1147, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1093, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1673, plain, (esk299_3(X1,X2,X3)=esk300_3(X1,X2,X3)|in(esk303_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1665, plain, (esk299_3(X1,X2,X3)=esk301_3(X1,X2,X3)|in(esk303_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_427, plain, (X1=complements_of_subsets(X2,X3)|in(subset_complement(X2,esk101_3(X2,X3,X1)),X3)|in(esk101_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 8.22/2.39 cnf(i_0_1501, plain, (esk253_2(X1,X2)=esk254_2(X1,X2)|in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1852, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|function(esk352_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_141, plain, (esk20_4(X1,X2,X3,X4)=X1|esk20_4(X1,X2,X3,X4)=X2|esk20_4(X1,X2,X3,X4)=X3|X4=unordered_triple(X1,X2,X3)|in(esk20_4(X1,X2,X3,X4),X4))).
% 8.22/2.39 cnf(i_0_1156, plain, (empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1102, plain, (empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1239, plain, (unordered_pair(unordered_pair(esk209_1(X1),esk209_1(X1)),unordered_pair(esk209_1(X1),esk210_1(X1)))=esk207_1(X1)|in(esk215_3(X1,X2,X3),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1469, plain, (esk253_2(X1,X2)=esk255_2(X1,X2)|in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1253, plain, (element(esk224_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk220_1(X1))|esk218_1(X1)!=esk219_1(X1)|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.39 cnf(i_0_927, lemma, (in(esk160_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1853, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|relation(esk352_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1215, plain, (unordered_pair(unordered_pair(esk211_1(X1),esk211_1(X1)),unordered_pair(esk211_1(X1),esk212_1(X1)))=esk208_1(X1)|in(esk215_3(X1,X2,X3),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2394, lemma, (X1=relation_dom_restriction(X2,X3)|in(esk410_3(X3,X1,X2),relation_dom(X1))|relation_dom(X1)!=set_difference(relation_dom(X2),set_difference(relation_dom(X2),X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.22/2.39 cnf(i_0_1397, plain, (in(esk246_3(X1,X2,X3),X2)|in(esk242_2(X.
% 8.22/2.39 cnf(i_0_1798, lemma, (function(esk352_2(X1,X2))|empty(X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_894, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk159_1(X2))|in(esk156_1(X2),X2)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1289, plain, (closed_subset(esk233_3(X1,X2,X3),X1)|closed_subset(esk230_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1671, plain, (esk299_3(X1,X2,X3)=esk300_3(X1,X2,X3)|in(relation_image(X3,X4),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1663, plain, (esk299_3(X1,X2,X3)=esk301_3(X1,X2,X3)|in(relation_image(X3,X4),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1176, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1504, plain, (element(esk270_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk268_2(X1,X2))|esk266_2(X1,X2)!=esk267_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1342, plain, (element(esk229_2(X1,X2),powerset(the_carrier(X1)))|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1307, plain, (element(esk230_2(X1,X2),powerset(the_carrier(X1)))|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_115, plain, (X1=topstr_closure(X2,X3)|disjoint(X3,esk13_3(X2,X3,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk12_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1799, lemma, (relation(esk352_2(X1,X2))|empty(X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1122, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1149, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1095, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1158, plain, (empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2088, lemma, (esk369_3(X1,X2,X3)=esk368_2(X1,X2)|function(esk370_2(X1,X2))|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_117, plain, (X1=topstr_closure(X2,X3)|open_subset(esk13_3(X2,X3,X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk12_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_2020, lemma, (function(esk364_2(X1,X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2021, lemma, (relation(esk364_2(X1,X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1745, lemma, (element(esk323_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk320_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.39 cnf(i_0_2089, lemma, (esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation(esk370_2(X1,X2))|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1104, plain, (empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_320, plain, (X1=X2|~is_antisymmetric_i1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1382, plain, (in(esk246_3(X1,X2,X3),X2)|in(esk243_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1807, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk350_2(X1,X2),X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1915, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1399, plain, (in(esk245_3(X1,X2,X3),powerset(X1))|in(esk242_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1384, plain, (in(esk245_3(X1,X2,X3),powerset(X1))|in(esk243_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1415, plain, (in(esk247_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk250_2(X1,X2))|subset_complement(the_carrier(X1),esk252_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1195, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk213_2(X2,X3))|esk208_1(X2)!=esk207_1(X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1861, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2356, lemma, (X1=function_inverse(X2)|in(esk407_2(X2,X1),relation_dom(X2))|apply(X2,esk405_2(X2,X1))!=esk404_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk405_2(X2,X1),relation_dom(X2)))).
% 8.22/2.39 cnf(i_0_1716, plain, (ordinal(esk307_2(X1,X2))|in(X3,esk309_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_288, plain, (subset(X1,X2)|in(unordered_pair(unordered_pair(esk61_2(X1,X2),esk61_2(X1,X2)),unordered_pair(esk61_2(X1,X2),esk62_2(X1,X2))),X1)|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1363, plain, (in(set_difference(cast_as_carrier_subset(X1),esk235_2(X1,X2)),X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1355, plain, (in(set_difference(cast_as_carrier_subset(X1),esk236_2(X1,X2)),X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2023, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1905, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|relation_dom(esk352_2(X1,X2))=X1|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1933, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk350_2(X1,X2),X1)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1692, plain, (ordinal(esk308_2(X1,X2))|in(X3,esk309_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2360, lemma, (X1=function_inverse(X2)|in(esk404_2(X2,X1),relation_rng(X2))|apply(X1,esk406_2(X2,X1))!=esk407_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk406_2(X2,X1),relation_rng(X2)))).
% 8.22/2.39 cnf(i_0_1011, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|esk179_2(X1,X4)!=esk178_2(X1,X4)|~relation(X4)|~in(X3,esk184_3(X1,X4,X2))|~in(X2,esk182_2(X1,Xn(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))).
% 8.22/2.39 cnf(i_0_1632, plain, (esk283_3(X1,X2,X3)=esk284_3(X1,X2,X3)|esk291_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1617, plain, (esk283_3(X1,X2,X3)=esk285_3(X1,X2,X3)|esk291_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_987, lemma, (X1=empty_set|in(esk175_2(X2,X1),X1)|in(esk174_1(X3),esk173_0)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk173_0)|~in(X2,omega))).
% 8.22/2.39 cnf(i_0_985, lemma, (X1=empty_set|subset(X2,esk174_1(X2))|in(esk175_2(X3,X1),X1)|~epred1_0|~ordinal(X3)|~element(X1,powerset(powerset(X3)))|~in(X2,esk173_0)|~in(X3,omega))).
% 8.22/2.39 cnf(i_0_1419, plain, (in(esk251_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|in(esk247_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_136, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk17_4(X2,X3,relation_inverse_image(X2,X3),X1))),X2)|~relation(X2)|~in(X1,relation_inverse_image(X2,X3)))).
% 8.22/2.39 cnf(i_0_1179, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1374, plain, (in(esk245_3(X1,X2,X3),powerset(X1))|esk241_2(X1,X2)!=esk240_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2507, plain, (X1=empty_set|in(esk421_4(X2,X3,X4,X1),X1)|~epred2_3(X4,X3,X2)|~element(X1,powerset(powerset(esk420_3(X2,X3,X4))))|~in(esk420_3(X2,X3,X4),omega))).
% 8.22/2.39 cnf(i_0_2502, plain, (X1=empty_set|in(esk423_4(X2,X3,X4,X1),X1)|~epred2_3(X4,X3,X2)|~element(X1,powerset(powerset(esk422_3(X2,X3,X4))))|~in(esk422_3(X2,X3,X4),omega))).
% 8.22/2.39 cnf(i_0_815, lemma, (empty(X1)|in(X2,esk154_4(X1,X3,X4,X2))|esk150_2(X1,X3)!=esk149_2(X1,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),esk153_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_1125, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1407, plain, (element(esk252_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk250_2(X1,X2))|esk248_2(X1,X2)!=esk249_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_2471, plain, (X1=esk417_1(X2)|X2=empty_set|epred1_0|in(esk415_1(X3),esk414_0)|~subset(esk417_1(X2),X1)|~element(X2,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X3,esk414_0)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2462, plain, (X1=esk417_1(X2)|X2=empty_set|epred1_0|subset(X3,esk415_1(X3))|~subset(esk417_1(X2),X1)|~element(X2,powerset(powerset(esk416_0)))|~in(esk416_0,omega)|~in(X3,esk414_0)|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1349, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1862, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|esk353_3(X1,X2,X3)=X3|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1152, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1098, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1161, plain, (empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1107, plain, (empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1066, plain, (empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X4,esk195_3(X14)))).
% 8.22/2.39 cnf(i_0_1139, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2004, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|function(esk364_2(X1,X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1851, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|relation_dom(esk352_2(X1,X2))=X1|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1085, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1051, plain, (esk180_2(X1,X2)=esk177_2(X1,X2)|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk185_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1027, plain, (esk181_2(X1,X2)=esk177_2(X1,X2)|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk185_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_2005, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation(esk364_2(X1,X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1988, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|function(esk364_2(X1,X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1803, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1796, lemma, (esk353_3(X1,X2,X3)=X3|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2354, lemma, (X1=function_inverse(X2)|apply(X2,esk405_2(X2,X1))!=esk404_2(X2,X1)|apply(X1,esk406_2(X2,X1))!=esk407_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk405_2(X2,X1),relation_dom(X2))|~in(esk406_2(X2,X1),relation_rng(X2)))).
% 8.22/2.39 cnf(i_0_864, lemma, (esk154_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk149_2(X1,X2),esk151_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1989, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation(esk364_2(X1,X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2068, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|function(esk370_2(X1,X2))|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1418, plain, (subset_complement(the_carrier(X1),esk251_3(X1,X2,X3))=X3|in(esk247_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk251_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_832, lemma, (esk154_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk150_2(X1,X2),esk152_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_454, 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)|~quasi_total(X4,cartesian_product2(X1,X2),X3)|~function(X4)|~element(X6,X2)|~element(,X2,X3)))).
% 8.22/2.39 cnf(i_0_1048, plain, (empty(X1)|in(esk178_2(X1,X2),esk180_2(X1,X2))|in(X3,esk184_3(X1,X2,X3))|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1314, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1321, plain, (subset(X1,esk227_2(X2,X1))|in(esk232_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk231_2(X2,X1)))).
% 8.22/2.39 cnf(i_0_1286, plain, (subset(X1,esk228_2(X2,X1))|in(esk232_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk231_2(X2,X1)))).
% 8.22/2.39 cnf(i_0_1328, plain, (closed_subset(esk229_2(X1,X2),X1)|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2358, lemma, (apply(X1,esk407_2(X1,X2))=esk406_2(X1,X2)|apply(X2,esk404_2(X1,X2))=esk405_2(X1,X2)|X2=function_inverse(X1)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.22/2.39 cnf(i_0_1024, plain, (empty(X1)|in(esk179_2(X1,X2),esk181_2(X1,X2))|in(X3,esk184_3(X1,X2,X3))|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1371, plain, (set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk241_2(X1,X2)!=esk240_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2506, plain, (X1=esk421_4(X2,X3,X4,X5)|X5=empty_set|~epred2_3(X4,X3,X2)|~subset(esk421_4(X2,X3,X4,X5),X1)|~element(X5,powerset(powerset(esk420_3(X2,X3,X4))))|~in(esk420_3(X2,X3,X4),omega)|~in(X1,X5))).
% 8.22/2.39 cnf(i_0_2501, plain, (X1=esk423_4(X2,X3,X4,X5)|X5=empty_set|~epred2_3(X4,X3,X2)|~subset(esk423_4(X2,X3,X4,X5),X1)|~element(X5,powerset(powerset(esk422_3(X2,X3,X4))))|~in(esk422_3(X2,X3,X4),omega)|~in(X1,X5))).
% 8.22/2.39 cnf(i_0_1050, plain, (empty(X1)|in(esk178_2(X1,X2),esk180_2(X1,X2))|in(esk183_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1293, plain, (closed_subset(esk230_2(X1,X2),X1)|in(esk232_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk231_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2031, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1406, plain, (esk252_4(X1,X2,X3,X4)=X4|in(X3,esk250_2(X1,X2))|esk248_2(X1,X2)!=esk249_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1498, plain, (esk253_2(X1,X2)=esk254_2(X1,X2)|in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1797, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1026, plain, (empty(X1)|in(esk179_2(X1,X2),esk181_2(X1,X2))|in(esk183_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1402, plain, (esk239_2(X1,X2)=esk240_2(X1,X2)|in(esk246_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1387, plain, (esk239_2(X1,X2)=esk241_2(X1,X2)|in(esk246_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1657, plain, (in(esk303_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|esk301_3(X1,X2,X3)!=esk300_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_848, lemma, (esk154_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk148_2(X1,XX5,X1))).
% 8.22/2.39 cnf(i_0_1668, plain, (esk303_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk300_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1660, plain, (esk303_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk301_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1739, lemma, (unordered_pair(unordered_pair(esk318_3(X1,X2,X3),esk318_3(X1,X2,X3)),unordered_pair(esk318_3(X1,X2,X3),esk319_3(X1,X2,X3)))=X3|~in(X3,esk317_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2069, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|relation(esk370_2(X1,X2))|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2052, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|function(esk370_2(X1,X2))|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_103, 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))).
% 8.22/2.39 cnf(i_0_2053, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|relation(esk370_2(X1,X2))|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1365, plain, (in(set_difference(cast_as_carrier_subset(X1),esk235_2(X1,X2)),X2)|in(esk238_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1357, plain, (in(set_difference(cast_as_carrier_subset(X1),esk236_2(X1,X2)),X2)|in(esk238_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1912, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|function(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2164, lemma, (in(unordered_pair(unordered_pair(X1,esk381_3(X1,X2,X3)),unordered_pair(esk381_3(X1,X2,X3),esk381_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 8.22/2.39 cnf(i_0_89, 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))).
% 8.22/2.39 cnf(i_0_2357, lemma, (apply(X1,esk404_2(X2,X1))=esk405_2(X2,X1)|X1=function_inverse(X2)|apply(X1,esk406_2(X2,X1))!=esk407_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk406_2(X2,X1),relation_rng(X2)))).
% 8.22/2.39 cnf(i_0_1485, plain, (in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1453, plain, (in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_114, plain, (X1=topstr_closure(X2,X3)|in(esk12_3(X2,X3,X1),X1)|~disjoint(X3,X4)|~open_subset(X4,X2)|~top_str(X2)|~element(X4,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk12_3(X2,X3,X1),X4))).
% 8.22/2.39 cnf(i_0_1416, plain, (esk252_4(X1,X2,X3,X4)=X4|in(esk247_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk250_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1913, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|relation(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1393, plain, (set_difference(esk242_2(X1,X2),unordered_pair(X1,X1))=esk240_2(X1,X2)|esk245_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1052, plain, (esk180_2(X1,X2)=esk177_2(X1,X2)|in(esk185_5(X1,X2,X3,X4,X4),X4)|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1028, plain, (esk181_2(X1,X2)=esk177_2(X1,X2)|in(esk185_5(X1,X2,X3,X4,X4),X4)|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1378, plain, (set_difference(esk243_2(X1,X2),unordered_pair(X1,X1))=esk241_2(X1,X2)|esk245_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1482, plain, (in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1450, plain, (in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1858, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|function(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2067, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1722, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|in(X3,esk309_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1698, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|in(X3,esk309_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1143, plain, (empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2051, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2080, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|function(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1859, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|relation(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1089, plain, (empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1710, plain, (esk307_2(X1,X2)=esk305_2(X1,X2)|in(X3,esk309_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1686, plain, (esk308_2(X1,X2)=esk306_2(X1,X2)|in(X3,esk309_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1897, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk346_2(X1,X2),esk348_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2081, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|relation(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2064, lemma, (2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1142, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1466, plain, (esk253_2(X1,X2)=esk255_2(X1,X2)|in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2028, lemma, (function(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2029, lemma, (relation(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2019, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1898, lemma, (esk353_3(X1,X2,X3)=X3|in(esk346_2(X1,X2),esk348_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1088, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_108, plain, (X1=relation_inverse_image(X2,X3)|in(apply(X2,esk10_3(X2,X3,X1)),X3)|in(esk10_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 8.22/2.39 cnf(i_0_1674, plain, (in(X1,esk309_2(X2,X3))|esk306_2(X2,X3)!=esk305_2(X2,X3)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1484, plain, (esk261_4(X1,X2,X3,X4)=X4|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1452, plain, (esk261_4(X1,X2,X3,X4)=X4|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1975, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1804, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1241, plain, (unordered_pair(unordered_pair(esk209_1(X1),esk209_1(X1)),unordered_pair(esk209_1(X1),esk210_1(X1)))=esk207_1(X1)|esk214_3(X1,X2,X3)=X3|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1256, plain, (X1=empty_set|in(esk223_3(X2,X3,X1),X1)|esk218_1(X2)!=esk219_1(X2)|~ordinal(X2)|~element(X1,powerset(powerset(esk222_2(X2,X3))))|~in(esk222_2(X2,X3),omega)|~in(X3,esk220_1(X2)))).
% 8.22/2.39 cnf(i_0_1175, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|esk186_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1121, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|esk186_2(X1,X2)=esk188_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1148, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|esk189_2(X1,X2)=esk191_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1217, plain, (unordered_pair(unordered_pair(esk211_1(X1),esk211_1(X1)),unordered_pair(esk211_1(X1),esk212_1(X1)))=esk208_1(X1)|esk214_3(X1,X2,X3)=X3|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1595, plain, (esk271_2(X1,X2)=esk272_2(X1,X2)|in(esk280_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1563, plain, (esk271_2(X1,X2)=esk273_2(X1,X2)|in(esk280_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1366, plain, (esk234_2(X1,X2)=esk235_2(X1,X2)|in(X3,esk23subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|function(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1911, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1843, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk347_2(X1,X2),esk349_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1704, plain, (in(X1,esk309_2(X2,X3))|in(esk307_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1680, plain, (in(X1,esk309_2(X2,X3))|in(esk308_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2065, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|relation(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1396, plain, (set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|in(esk242_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1381, plain, (set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|in(esk243_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1924, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1242, plain, (unordered_pair(unordered_pair(esk209_1(X1),esk209_1(X1)),unordered_pair(esk209_1(X1),esk210_1(X1)))=esk207_1(X1)|in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_847, lemma, (empty(X1)|in(X2,esk154_4(X1,X3,X4,X2))|in(esk148_2(X1,X3),X1)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),esk153_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_1218, plain, (unordered_pair(unordered_pair(esk211_1(X1),esk211_1(X1)),unordered_pair(esk211_1(X1),esk212_1(X1)))=esk208_1(X1)|in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2012, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|function(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2013, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1925, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_77, plain, (esk2_2(X1,X2)=esk1_2(X1,X2)|X2=identity_relation(X1)|in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1250, plain, (subset(X1,esk225_4(X2,X3,X3,X1))|in(X3,esk220_1(X2))|esk218_1(X2)!=esk219_1(X2)|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X1,esk224_3(X2,X3,X3)))).
% 8.22/2.39 cnf(i_0_78, plain, (X1=identity_relation(X2)|in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)|in(esk1_2(X2,X1),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1996, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|function(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_c7_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1805, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1049, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|empty(X1)|in(esk178_2(X1,X2),esk180_2(X1,X2))|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1094, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|esk192_2(X1,X2)=esk194_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1157, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1103, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1579, plain, (in(esk280_4(X1,X2,X3,X4),X2)|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1025, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|empty(X1)|in(esk179_2(X1,X2),esk181_2(X1,X2))|~relation(X2)|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1358, plain, (esk234_2(X1,X2)=esk236_2(X1,X2)|in(X3,esk237_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1547, plain, (in(esk280_4(X1,X2,X3,X4),X2)|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1404, plain, (esk239_2(X1,X2)=esk240_2(X1,X2)|in(esk245_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1844, lemma, (esk353_3(X1,X2,X3)=X3|in(esk347_2(X1,X2),esk349_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1709, plain, (in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk307_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2214, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|X4=empty_set|~quasi_total(X1,X5,X4)|~relation_of2_as_subset(X1,X5,X4)|~relation(X2)|~function(X2)|~function(X1)|~in(X3,X5))).
% 8.22/2.39 cnf(i_0_1685, plain, (in(esk310_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk308_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk309_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1389, plain, (esk239_2(X1,X2)=esk241_2(X1,X2)|in(esk245_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1512, plain, (in(esk265_2(X1,X2),X2)|in(X3,esk268_2(X1,X2))|subset_complement(the_carrier(X1),esk270_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_116, plain, (X1=topstr_closure(X2,X3)|in(esk12_3(X2,X3,X1),esk13_3(X2,X3,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk12_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_1761, lemma, (in(set_difference(X1,unordered_pair(X2,X2)),esk328_2(X2,X3))|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_92, plain, (apply(X1,esk7_3(X1,X2,X3))=esk6_3(X1,X2,X3)|X3=relation_image(X1,X2)|in(esk6_3(X1,X2,X3),X3)|~relation(X1)|~function(X1))).
% 8.22/2.39 cnf(i_0_1009, plain, (in(X1,esk182_2(X2,X3))|esk179_2(X2,X3)!=esk178_2(X2,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk185_5(X2,X3,X1,X4,X4))),X3)|~in(X4,X2)|~in(X1,X4))).
% 8.22/2.39 cnf(i_0_865, lemma, (empty(X1)|in(esk149_2(X1,X2),esk151_2(X1,X2))|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_833, lemma, (empty(X1)|in(esk150_2(X1,X2),esk152_2(X1,X2))|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnarrier(X1)))))).
% 8.22/2.39 cnf(i_0_1997, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1857, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_311, plain, (X1=relation_dom(X2)|in(unordered_pair(unordered_pair(esk68_2(X2,X1),esk68_2(X2,X1)),unordered_pair(esk68_2(X2,X1),esk69_2(X2,X1))),X2)|in(esk68_2(X2,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1264, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|in(X2,esk220_1(X1))|esk224_3(X1,X2,X2)!=empty_set|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.39 cnf(i_0_672, 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))).
% 8.22/2.39 cnf(i_0_362, plain, (X1=relation_rng(X2)|in(unordered_pair(unordered_pair(esk82_2(X2,X1),esk83_2(X2,X1)),unordered_pair(esk83_2(X2,X1),esk83_2(X2,X1))),X2)|in(esk82_2(X2,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2076, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|function(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2077, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|relation(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1930, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1931, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1273, plain, (in(X1,esk231_2(X2,X3))|esk228_2(X2,X3)!=esk227_2(X2,X3)|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~subset(X3,X1)|~element(X3,powerset(the_carrier(X2)))|~in(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_858, lemma, (function(esk153_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk151_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2060, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|function(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2061, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|relation(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_365, plain, (in(unordered_pair(unordered_pair(X1,esk81_3(X2,relation_rng(X2),X1)),unordered_pair(esk81_3(X2,relation_rng(X2),X1),esk81_3(X2,relation_rng(X2),X1))),X2)|~relation(X2)|~in(X1,relation_rng(X2)))).
% 8.22/2.39 cnf(i_0_826, lemma, (function(esk153_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk152_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1743, lemma, (in(esk324_4(X1,X2,X2,X3),esk323_3(X1,X2,X2))|in(X2,esk320_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk323_3(X1,X2,X2)))).
% 8.22/2.39 cnf(i_0_1033, plain, (in(X1,esk182_2(X2,X3))|in(esk177_2(X2,X3),X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk185_5(X2,X3,X1,X4,X4))),X3)|~in(X4,X2)|~if(i_0_2220, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk387_4(X2,X3,X4,X1))),X4)|relation_dom_as_subset(X3,X2,X4)!=X3|~relation_of2_as_subset(X4,X3,X2)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1272, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|in(esk221_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(X2,esk220_1(X1)))).
% 8.22/2.39 cnf(i_0_1598, plain, (esk271_2(X1,X2)=esk272_2(X1,X2)|in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1566, plain, (esk271_2(X1,X2)=esk273_2(X1,X2)|in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2091, lemma, (relation_dom(esk370_2(X1,X2))=X2|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1398, plain, (esk245_3(X1,X2,X3)=X3|in(esk242_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2102, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|in(esk374_1(X4),esk373_0)|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk373_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_317, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk70_2(X1,X2),esk70_2(X1,X2)),unordered_pair(esk70_2(X1,X2),esk71_2(X1,X2))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1255, plain, (X1=esk223_3(X2,X3,X4)|X4=empty_set|esk218_1(X2)!=esk219_1(X2)|~subset(esk223_3(X2,X3,X4),X1)|~ordinal(X2)|~element(X4,powerset(powerset(esk222_2(X2,X3))))|~in(esk222_2(X2,X3),omega)|~in(X3,esk220_1(X2))|~in(X1,X4))).
% 8.22/2.39 cnf(i_0_388, 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))).
% 8.22/2.39 cnf(i_0_316, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk70_2(X1,X2),esk71_2(X1,X2)),unordered_pair(esk71_2(X1,X2),esk71_2(X1,X2))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1383, plain, (esk245_3(X1,X2,X3)=X3|in(esk243_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_124, plain, (~disjoint(X1,X2)|~open_subset(X2,X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~element(X2,powerset(the_carrier(X3)))|~in(X4,topstr_closure(X3,X1))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1582, plain, (in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_389, 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)))).
% 8.22/2.39 cnf(i_0_422, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk98_2(X1,X2),esk98_2(X1,X2)),unordered_pair(esk98_2(X1,X2),esk99_2(X1,X2))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1633, plain, (esk283_3(X1,X2,X3)=esk284_3(X1,X2,X3)|in(esk291_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1618, plain, (esk283_3(X1,X2,X3)=esk285_3(X1,X2,X3)|in(esk291_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1550, plain, (in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1672, plain, (esk299_3(X1,X2,X3)=esk300_3(X1,X2,X3)|esk303_4(X1,X2,X3,X4)=X4|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_421, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk99_2(X1,X2),esk99_2(X1,X2)),unordered_pair(esk99_2(X1,X2),esk100_2(X1,X2))),X1)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1437, plain, (in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(Xn(X1,X4))).
% 8.22/2.39 cnf(i_0_859, lemma, (relation(esk153_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk151_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1417, plain, (element(esk252_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(esk247_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk250_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_2003, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1772, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk334_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk337_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5)))).
% 8.22/2.39 cnf(i_0_827, lemma, (relation(esk153_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk152_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1370, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk244_2(X2,X3))|esk241_2(X2,X3)!=esk240_2(X2,X3)|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_945, lemma, (esk169_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|esk166_2(X1,X2)!=esk167_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1987, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1802, lemma, (esk353_3(X1,X2,X3)=X3|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1904, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|esk353_3(X1,X2,X3)=X3|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1850, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|esk353_3(X1,X2,X3)=X3|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1929, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1521, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk266_2(X1,X2)|in(esk269_3(X1,X2,X3),X2)|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1511, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk267_2(X1,X2)|in(esk269_3(X1,X2,X3),X2)|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1923, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1246, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|esk206_1(X1)=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_242, plain, (X1=X2|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk47_2(X1,X2),esk47_2(X1,X2)),unordered_pair(esk47_2(X1,X2),esk48_2(X1,X2))),X2)|~in(unordered_pair(unordered_pair(esk47_2(X1,X2),esk47_2(X1,X2)),unordered_pair(esk47_2(X1,X2),esk48_2(X1,X2))),X1))).
% 8.22/2.39 cnf(i_0_1433, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1530, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1222, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|esk206_1(X1)=esk208_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1476, plain, (subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|esk261_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1444, plain, (subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|esk261_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1243, plain, (esk206_1(X1)=esk207_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk213_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1198, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|esk208_1(X1)!=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1392, plain, (set_difference(esk242_2(X1,X2),unordered_pair(X1,X1))=esk240_2(X1,X2)|in(esk246_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1377, plain, (set_difference(esk243_2(X1,X2),unordered_pair(X1,X1))=esk241_2(X1,X2)|in(esk246_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1034, plain, (in(esk185_5(X1,X2,X3,X4,X4),X4)|in(X3,esk182_2(X1,X2))|in(esk177_2(X1,X2),X1)|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1573, plain, (subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|esk279_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1541, plain, (subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|esk279_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1219, plain, (esk206_1(X1)=esk208_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk213_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1670, plain, (esk299_3(X1,X2,X3)=esk300_3(X1,X2,X3)|in(X4,esk302_3(X1,X2,X3))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,powerset(relation_dom(X3)))|~in(relation_image(X3,X4),X2))).
% 8.22/2.39 cnf(i_0_2034, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X4))!=X4|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_2016, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|function(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(1),X2),X3))|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2027, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1513, plain, (esk270_4(X1,X2,X3,X4)=X4|in(esk265_2(X1,X2),X2)|in(X3,esk268_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_986, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|in(esk174_1(X4),esk173_0)|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk173_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2087, lemma, (esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1664, plain, (esk299_3(X1,X2,X3)=esk301_3(X1,X2,X3)|esk303_4(X1,X2,X3,X4)=X4|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2100, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|subset(X4,esk374_1(X4))|~subset(esk375_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk373_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1742, lemma, (subset(X1,esk324_4(X2,X3,X3,X1))|in(X3,esk320_1(X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X1,esk323_3(X2,X3,X3)))).
% 8.22/2.39 cnf(i_0_1364, plain, (esk238_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk235_2(X1,X2)),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1356, plain, (esk238_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk236_2(X1,X2)),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_899, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk157_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk159_1(X1))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1226, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|unordered_pair(esk209_1(X1),esk209_1(X1))=esk210_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1768, lemma, (subset_complement(the_carrier(X1),esk331_4(X1,X2,X3,X4))=esk332_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk331_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1775, lemma, (subset_complement(the_carrier(X1),esk335_4(X1,X2,X3,X4))=esk336_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk335_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk334_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1515, plain, (subset_complement(the_carrier(X1),esk269_3(X1,X2,X3))=X3|in(esk265_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk269_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_889, lemma, (unordered_pair(esk156_1(X1),esk156_1(X1))=esk158_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk159_1(X1))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_2406, 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))).
% 8.22/2.39 cnf(i_0_1010, plain, (in(esk185_5(X1,X2,X3,X4,X4),X4)|in(X3,esk182_2(X1,X2))|esk179_2(X1,X2)!=esk178_2(X1,X2)|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1202, plain, (unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|unordered_pair(esk211_1(X1),esk211_1(X1))=esk212_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_90, 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)))).
% 8.22/2.39 cnf(i_0_984, lemma, (X1the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1231, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk213_2(X2,X3))|in(esk209_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1662, plain, (esk299_3(X1,X2,X3)=esk301_3(X1,X2,X3)|in(X4,esk302_3(X1,X2,X3))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,powerset(relation_dom(X3)))|~in(relation_image(X3,X4),X2))).
% 8.22/2.39 cnf(i_0_1053, plain, (esk180_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(X4,esk184_3(X1,X2,X3))|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1029, plain, (esk181_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(X4,esk184_3(X1,X2,X3))|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2017, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2000, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|function(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1207, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk213_2(X2,X3))|in(esk211_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1035, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk177_2(X1,X4),X1)|~relation(X4)|~in(X3,esk184_3(X1,X4,X2))|~in(X2,esk182_2(X1,X4)))).
% 8.22/2.39 cnf(i_0_2001, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2113, lemma, (X1=empty_set|X2=empty_set|in(esk375_2(X3,X1),X1)|in(esk372_2(X4,X2),X2)|~ordinal(X4)|~ordinal(X3)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3)))|~in(X4,omega)|~in(X4,esk371_0)|~in(X3,omega))).
% 8.22/2.39 cnf(i_0_419, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk94_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)))).
% 8.22/2.39 cnf(i_0_961, lemma, (X1=subset_complement(the_carrier(X2),X3)|in(esk165_2(X2,X4),X4)|~one_sorted_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2)))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk168_2(X2,X4)))).
% 8.22/2.39 cnf(i_0_794, 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)|~quasi_total(X4,cartesian_product2(X1,X2),X3)|~function(X4)|~element(X6,X2)|~element(X5,X1))).
% 8.22/2.39 cnf(i_0_1894, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_910, lemma, (esk164_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|esk161_2(X1,X2)!=esk162_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1840, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1895, lemma, (r=esk175_2(X2,X3)|X3=empty_set|subset(X4,esk174_1(X4))|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk173_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2024, lemma, (esk363_3(X1,X2,X3)=esk362_2(X1,X2)|function(esk364_2(X1,X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2025, lemma, (esk363_3(X1,X2,X3)=esk362_2(X1,X2)|relation(esk364_2(X1,X2))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_264, plain, (X1=set_union2(X2,X3)|in(esk53_3(X2,X3,X1),X2)|in(esk53_3(X2,X3,X1),X3)|in(esk53_3(X2,X3,X1),X1))).
% 8.22/2.39 cnf(i_0_104, 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)))).
% 8.22/2.39 cnf(i_0_1667, plain, (in(relation_image(X1,esk300_3(X2,X3,X1)),X3)|in(relation_image(X1,X4),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,esk302_3(X2,X3,X1)))).
% 8.22/2.39 cnf(i_0_1659, plain, (in(relation_image(X1,esk301_3(X2,X3,X1)),X3)|in(relation_image(X1,X4),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,esk302_3(X2,X3,X1)))).
% 8.22/2.39 cnf(i_0_1140, plain, (empty(X1)|in(esk190_2(X1,X2),esk191_2(X1,X2))|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1401, plain, (set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk239_2(X1,X2)=esk240_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1386, plain, (set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk239_2(X1,X2)=esk241_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_912, lemma, (X1=subset_complement(the_carrier(X2),X3)|esk161_2(X2,X4)!=esk162_2(X2,X4)|~one_sorted_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2)))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk163_2(X2,X4)))).
% 8.22/2.39 cnf(i_0_1906, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|function(esk352_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1086, plain, (empty(X1)|in(esk193_2(X1,X2),esk194_2(X1,X2))|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2355, lemma, (apply(X1,esk407_2(X1,X2))=esk406_2(X1,X2)|X2=function_inverse(X1)|apply(X1,esk405_2(X1,X2))!=esk404_2(X1,X2)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk405_2(X1,X2),relation_dom(X1)))).
% 8.22/2.39 cnf(i_0_1654, plain, (in(X1,esk302_3(X2,X3,X4))|esk301_3(X2,X3,X4)!=esk300_3(X2,X3,X4)|~relation(X4)|~function(X4)|~element(X3,powerset(powerset(X2)))|~in(X1,powerset(relation_dom(X4)))|~in(relation_image(X4,X1),X3))).
% 8.22/2.39 cnf(i_0_1174, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_947, lemma, (X1=subset_complement(the_carrier(X2),X3)|esk166_2(X2,X4)!=esk167_2(X2,X4)|~one_sorted_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2)))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk168_2(X2,X4)))).
% 8.22/2.39 cnf(i_0_1514, plain, (element(esk270_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(esk265_2(X1,X2),X2)|in(X3,esk268_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1907, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|relation(esk352_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1120, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk195_3(X1elation(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1970, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk363_3(X1,X2,X4))!=X4|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_387, plain, (X1=relation_inverse(X2)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk86_2(X2,X1),esk86_2(X2,X1)),unordered_pair(esk86_2(X2,X1),esk87_2(X2,X1))),X1)|~in(unordered_pair(unordered_pair(esk86_2(X2,X1),esk87_2(X2,X1)),unordered_pair(esk87_2(X2,X1),esk87_2(X2,X1))),X2))).
% 8.22/2.39 cnf(i_0_1841, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2046, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk368_2(X1,X2),X2)|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1394, plain, (set_difference(esk242_2(X1,X2),unordered_pair(X1,X1))=esk240_2(X1,X2)|in(esk245_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1379, plain, (set_difference(esk243_2(X1,X2),unordered_pair(X1,X1))=esk241_2(X1,X2)|in(esk245_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_166, plain, (unordered_pair(unordered_pair(esk25_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk25_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)),unordered_pair(esk25_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk26_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X3=X1)).
% 8.22/2.39 cnf(i_0_1138, plain, (empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_944, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk168_2(X3,X4))|subset_complement(the_carrier(X3),esk169_4(X3,X4,X1,X2))!=X2|esk166_2(X3,X4)!=esk167_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,X4))).
% 8.22/2.39 cnf(i_0_1266, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|in(X2,esk220_1(X1))|in(X2,omega)|~ordinal(X1)|~ordinal(X2)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.39 cnf(i_0_863, lemma, (empty(X1)|in(esk149_2(X1,X2),esk151_2(X1,X2))|in(X3,esk154_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1084, plain, (empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1336, plain, (element(esk229_2(X1,X2),powerset(the_carrier(X1)))|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1301, plain, (element(esk230_2(X1,X2),powerset(the_carrier(X1)))|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_235, plain, (unordered_pair(unordered_pair(esk45_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk44_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)),unordered_pair(esk44_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk44_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X3=X2)).
% 8.22/2.39 cnf(i_0_1893, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk351_4(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_871, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|empty(X1)|in(X3,esk154_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_839, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|empty(X1)|in(X3,esk154_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_216, plain, (esk39_3(X1,X2,X3)=X2|X3=fiber(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(X2,esk39_3(X1,X2,X3)),unordered_pair(esk39_3(X1,X2,X3),esk39_3(X1,X2,X3))),X1)|~in(esk39_3(X1,X2,X3),X3))).
% 8.22/2.39 cnf(i_0_1147, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1093, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1673, plain, (esk299_3(X1,X2,X3)=esk300_3(X1,X2,X3)|in(esk303_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1665, plain, (esk299_3(X1,X2,X3)=esk301_3(X1,X2,X3)|in(esk303_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_427, plain, (X1=complements_of_subsets(X2,X3)|in(subset_complement(X2,esk101_3(X2,X3,X1)),X3)|in(esk101_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 8.22/2.39 cnf(i_0_1501, plain, (esk253_2(X1,X2)=esk254_2(X1,X2)|in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1852, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|function(esk352_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_141, plain, (esk20_4(X1,X2,X3,X4)=X1|esk20_4(X1,X2,X3,X4)=X2|esk20_4(X1,X2,X3,X4)=X3|X4=unordered_triple(X1,X2,X3)|in(esk20_4(X1,X2,X3,X4),X4))).
% 8.22/2.39 cnf(i_0_1156, plain, (empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1102, plain, (empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1239, plain, (unordered_pair(unordered_pair(esk209_1(X1),esk209_1(X1)),unordered_pair(esk209_1(X1),esk210_1(X1)))=esk207_1(X1)|in(esk215_3(X1,X2,X3),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1469, plain, (esk253_2(X1,X2)=esk255_2(X1,X2)|in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1253, plain, (element(esk224_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk220_1(X1))|esk218_1(X1)!=esk219_1(X1)|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.39 cnf(i_0_927, lemma, (in(esk160_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1853, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|relation(esk352_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1215, plain, (unordered_pair(unordered_pair(esk211_1(X1),esk211_1(X1)),unordered_pair(esk211_1(X1),esk212_1(X1)))=esk208_1(X1)|in(esk215_3(X1,X2,X3),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2394, lemma, (X1=relation_dom_restriction(X2,X3)|in(esk410_3(X3,X1,X2),relation_dom(X1))|relation_dom(X1)!=set_difference(relation_dom(X2),set_difference(relation_dom(X2),X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.22/2.39 cnf(i_0_1397, plain, (in(esk246_3(X1,X2,X3),X2)|in(esk242_2(X,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_831, lemma, (empty(X1)|in(esk150_2(X1,X2),esk152_2(X1,X2))|in(X3,esk154_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1839, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1400, plain, (esk239_2(X1,X2)=esk240_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk244_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_969, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|in(X3,X2)|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1888, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1234, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|in(esk209_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_955, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|in(X3,X2)|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1385, plain, (esk239_2(X1,X2)=esk241_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk244_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1210, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|in(esk211_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_999, lemma, (X1=empty_set|X2=empty_set|in(esk175_2(X3,X1),X1)|in(esk172_2(X4,X2),X2)|~epred1_0|~ordinal(X4)|~ordinal(X3)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3)))|~in(X4,omega)|~in(X4,esk171_0)|~in(X3,omega))).
% 8.22/2.39 cnf(i_0_1424, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk248_2(X1,X2)|in(esk251_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1834, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1414, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk249_2(X1,X2)|in(esk251_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1922, lemma, (esk353_3(X1,X2,X3)=X3|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1261, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|in(X2,esk220_1(X1))|esk225_4(X1,X2,X2,X3)!=X3|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk224_3(X1,X2,X2)))).
% 8.22/2.39 cnf(i_0_814, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|esk150_2(X1,X4)!=esk149_2(X1,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk153_2(X1,X4))|~in(X3,esk154_4(X1,X4,X5,X2)))).
% 8.22/2.39 cnf(i_0_214, plain, (X1=fiber(X2,X3)|in(unordered_pair(unordered_pair(X3,esk39_3(X2,X3,X1)),unordered_pair(esk39_3(X2,X3,X1),esk39_3(X2,X3,X1))),X2)|in(esk39_3(X2,X3,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2042, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk369_3(X1,X2,X4),powerset(the_carrier(X1)))|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1362, plain, (in(set_difference(cast_as_carrier_subset(X1),esk235_2(X1,X2)),X2)|in(X3,esk237_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1889, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1669, plain, (in(esk303_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk300_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1910, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|esk353_3(X1,X2,X3)=X3|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1354, plain, (in(set_difference(cast_as_carrier_subset(X1),esk236_2(X1,X2)),X2)|in(X3,esk237_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2008, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|function(esk364_2(X1,X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1835, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1856, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|esk353_3(X1,X2,X3)=X3|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1045, plain, (in(esk178_2(X1,X2),esk180_2(X1,X2))|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk185_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1021, plain, (in(esk179_2(X1,X2),esk181_2(X1,X2))|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk185_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1661, plain, (in(esk303_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk301_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1928, lemma, (esk353_3(X1,X2,X3)=X3|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2009, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|relation(esk364_2(X1,X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1992, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|function(esk364_2(X1,X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1773, lemma, (esk337_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)),esk334_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.39 cnf(i_0_959, lemma, (esk169_4(X1,X2,X3,X4)=X3|in(unordered_pair(u1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1382, plain, (in(esk246_3(X1,X2,X3),X2)|in(esk243_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1807, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk350_2(X1,X2),X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1915, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1399, plain, (in(esk245_3(X1,X2,X3),powerset(X1))|in(esk242_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1384, plain, (in(esk245_3(X1,X2,X3),powerset(X1))|in(esk243_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1415, plain, (in(esk247_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk250_2(X1,X2))|subset_complement(the_carrier(X1),esk252_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1195, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk213_2(X2,X3))|esk208_1(X2)!=esk207_1(X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1861, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2356, lemma, (X1=function_inverse(X2)|in(esk407_2(X2,X1),relation_dom(X2))|apply(X2,esk405_2(X2,X1))!=esk404_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk405_2(X2,X1),relation_dom(X2)))).
% 8.22/2.39 cnf(i_0_1716, plain, (ordinal(esk307_2(X1,X2))|in(X3,esk309_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_288, plain, (subset(X1,X2)|in(unordered_pair(unordered_pair(esk61_2(X1,X2),esk61_2(X1,X2)),unordered_pair(esk61_2(X1,X2),esk62_2(X1,X2))),X1)|~relation(X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1363, plain, (in(set_difference(cast_as_carrier_subset(X1),esk235_2(X1,X2)),X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1355, plain, (in(set_difference(cast_as_carrier_subset(X1),esk236_2(X1,X2)),X2)|in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2023, lemma, (relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1905, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|relation_dom(esk352_2(X1,X2))=X1|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1933, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk350_2(X1,X2),X1)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1692, plain, (ordinal(esk308_2(X1,X2))|in(X3,esk309_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2360, lemma, (X1=function_inverse(X2)|in(esk404_2(X2,X1),relation_rng(X2))|apply(X1,esk406_2(X2,X1))!=esk407_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk406_2(X2,X1),relation_rng(X2)))).
% 8.22/2.39 cnf(i_0_1011, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|esk179_2(X1,X4)!=esk178_2(X1,X4)|~relation(X4)|~in(X3,esk184_3(X1,X4,X2))|~in(X2,esk182_2(X1,Xnordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|in(esk165_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1251, plain, (in(esk225_4(X1,X2,X2,X3),esk224_3(X1,X2,X2))|in(X2,esk220_1(X1))|esk218_1(X1)!=esk219_1(X1)|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk224_3(X1,X2,X2)))).
% 8.22/2.39 cnf(i_0_909, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk163_2(X3,X4))|subset_complement(the_carrier(X3),esk164_4(X3,X4,X1,X2))!=X2|esk161_2(X3,X4)!=esk162_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,complements_of_subsets(the_carrier(X3),X4)))).
% 8.22/2.39 cnf(i_0_1993, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|relation(esk364_2(X1,X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2072, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|esk369_3(X1,X2,X3)=esk368_2(X1,X2)|function(esk370_2(X1,X2))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1765, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk330_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk333_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5)))).
% 8.22/2.39 cnf(i_0_1343, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1308, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2073, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation(esk370_2(X1,X2))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2056, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|esk369_3(X1,X2,X3)=esk368_2(X1,X2)|function(esk370_2(X1,X2))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2057, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation(esk370_2(X1,X2))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1887, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1228, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|unordered_pair(esk209_1(X1),esk209_1(X1))=esk210_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1329, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1294, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1204, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|unordered_pair(esk211_1(X1),esk211_1(X1))=esk212_1(X1)|~in(X3,esk2134)))).
% 8.22/2.39 cnf(i_0_1139, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2004, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|function(esk364_2(X1,X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1851, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|relation_dom(esk352_2(X1,X2))=X1|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1085, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1051, plain, (esk180_2(X1,X2)=esk177_2(X1,X2)|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk185_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1027, plain, (esk181_2(X1,X2)=esk177_2(X1,X2)|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk185_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_2005, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation(esk364_2(X1,X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1988, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|function(esk364_2(X1,X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1803, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1796, lemma, (esk353_3(X1,X2,X3)=X3|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2354, lemma, (X1=function_inverse(X2)|apply(X2,esk405_2(X2,X1))!=esk404_2(X2,X1)|apply(X1,esk406_2(X2,X1))!=esk407_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk405_2(X2,X1),relation_dom(X2))|~in(esk406_2(X2,X1),relation_rng(X2)))).
% 8.22/2.39 cnf(i_0_864, lemma, (esk154_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk149_2(X1,X2),esk151_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1989, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation(esk364_2(X1,X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2068, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|function(esk370_2(X1,X2))|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1418, plain, (subset_complement(the_carrier(X1),esk251_3(X1,X2,X3))=X3|in(esk247_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk251_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_832, lemma, (esk154_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk150_2(X1,X2),esk152_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_454, 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)|~quasi_total(X4,cartesian_product2(X1,X2),X3)|~function(X4)|~element(X6,X2)|~element(_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2079, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2063, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1833, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1238, plain, (unordered_pair(unordered_pair(esk209_1(X1),esk209_1(X1)),unordered_pair(esk209_1(X1),esk210_1(X1)))=esk207_1(X1)|unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1315, plain, (subset(X1,esk227_2(X2,X1))|in(X3,esk231_2(X2,X1))|~closed_subset(X3,X2)|~topological_space(X2)|~top_str(X2)|~subset(X1,X3)|~element(X1,powerset(the_carrier(X2)))|~in(X3,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_1280, plain, (subset(X1,esk228_2(X2,X1))|in(X3,esk231_2(X2,X1))|~closed_subset(X3,X2)|~topological_space(X2)|~top_str(X2)|~subset(X1,X3)|~element(X1,powerset(the_carrier(X2)))|~in(X3,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_1214, plain, (unordered_pair(unordered_pair(esk211_1(X1),esk211_1(X1)),unordered_pair(esk211_1(X1),esk212_1(X1)))=esk208_1(X1)|unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1571, plain, (subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|in(esk280_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1539, plain, (subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|in(esk280_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1728, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk312_3(X3,X4,X5))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk316_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))).
% 8.22/2.39 cnf(i_0_1322, plain, (closed_subset(esk229_2(X1,X2),X1)|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1287, plain, (closed_subset(esk230_2(X1,X2),X1)|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2015, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation_dom(esk364_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(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1999, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation_dom(esk364_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(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_220, plain, (inclusion_relation(relation_field(X1))=X1|subset(esk40_2(relation_field(X1),X1),esk41_2(relation_field(X1),X1))|in(unordered_pair(unordered_pair(esk40_2(relation_field(X1),X1),esk40_2(relation_field(X1),X1)),unordered_pair(esk40_2(relation_field(X1),X1),esk41_2(relation_field(X1),X1))),X1)|~relationX5,X1))).
% 8.22/2.39 cnf(i_0_1668, plain, (esk303_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk300_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1660, plain, (esk303_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk301_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1739, lemma, (unordered_pair(unordered_pair(esk318_3(X1,X2,X3),esk318_3(X1,X2,X3)),unordered_pair(esk318_3(X1,X2,X3),esk319_3(X1,X2,X3)))=X3|~in(X3,esk317_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2069, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|relation(esk370_2(X1,X2))|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2052, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|function(esk370_2(X1,X2))|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_103, 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))).
% 8.22/2.39 cnf(i_0_2053, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|relation(esk370_2(X1,X2))|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1365, plain, (in(set_difference(cast_as_carrier_subset(X1),esk235_2(X1,X2)),X2)|in(esk238_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1357, plain, (in(set_difference(cast_as_carrier_subset(X1),esk236_2(X1,X2)),X2)|in(esk238_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk237_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1912, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|function(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2164, lemma, (in(unordered_pair(unordered_pair(X1,esk381_3(X1,X2,X3)),unordered_pair(esk381_3(X1,X2,X3),esk381_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 8.22/2.39 cnf(i_0_89, 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))).
% 8.22/2.39 cnf(i_0_2357, lemma, (apply(X1,esk404_2(X2,X1))=esk405_2(X2,X1)|X1=function_inverse(X2)|apply(X1,esk406_2(X2,X1))!=esk407_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk406_2(X2,X1),relation_rng(X2)))).
% 8.22/2.39 cnf(i_0_1485, plain, (in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1453, plain, (in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_114, plain, (X1=topstr_closure(X2,X3)|in(esk12_3(X2,X3,X1),X1)|~disjoint(X3,X4)|~open_subset(X4,X2)|~top_str(X2)|~element(X4,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk12_3(X2,X3,X1),X4))).
% 8.22/2.39 cnf(i_0_1416, plain, (esk252_4(X1,X2,X3,X4)=X4|in(esk247_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk250_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 (X1))).
% 8.22/2.39 cnf(i_0_1391, plain, (set_difference(esk242_2(X1,X2),unordered_pair(X1,X1))=esk240_2(X1,X2)|set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1666, plain, (in(relation_image(X1,esk300_3(X2,X3,X1)),X3)|in(X4,esk302_3(X2,X3,X1))|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,powerset(relation_dom(X1)))|~in(relation_image(X1,X4),X3))).
% 8.22/2.39 cnf(i_0_1658, plain, (in(relation_image(X1,esk301_3(X2,X3,X1)),X3)|in(X4,esk302_3(X2,X3,X1))|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,powerset(relation_dom(X1)))|~in(relation_image(X1,X4),X3))).
% 8.22/2.39 cnf(i_0_1376, plain, (set_difference(esk243_2(X1,X2),unordered_pair(X1,X1))=esk241_2(X1,X2)|set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1517, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk266_2(X1,X2)|in(X3,esk268_2(X1,X2))|subset_complement(the_carrier(X1),esk270_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1507, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk267_2(X1,X2)|in(X3,esk268_2(X1,X2))|subset_complement(the_carrier(X1),esk270_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_130, plain, (in(unordered_pair(unordered_pair(X1,esk14_4(X2,X3,relation_image(X2,X3),X1)),unordered_pair(esk14_4(X2,X3,relation_image(X2,X3),X1),esk14_4(X2,X3,relation_image(X2,X3),X1))),X2)|~relation(X2)|~in(X1,relation_image(X2,X3)))).
% 8.22/2.39 cnf(i_0_1046, plain, (in(esk178_2(X1,X2),esk180_2(X1,X2))|in(esk185_5(X1,X2,X3,X4,X4),X4)|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1022, plain, (in(esk179_2(X1,X2),esk181_2(X1,X2))|in(esk185_5(X1,X2,X3,X4,X4),X4)|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_2075, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2059, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_417, 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))).
% 8.22/2.39 cnf(i_0_1882, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk348_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1268, plain, (X1=empty_set|epred2_3(esk219_1(X2),esk218_1(X2),esk217_1(X2))|in(esk223_3(X2,X3,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(esk222_2(X2,X3))))|~in(esk222_2(X2,X3),omega)|~in(X3,esk220_1(X2)))).
% 8.22/2.39 cnf(i_0_1047, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk178_2(X1,X4),esk180_2(X1,X4))|~relation(X4)|~in(X3,esk184_3(X1,X4,X2))|~in(X2,esk182_2(X1,X4)))).
% 8.22/2.39 cnf(i_0_1828, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk349_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1978, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk363_3(X1,X2,X4),powerset(the_carrier(X1)))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_scnf(i_0_1913, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|relation(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1393, plain, (set_difference(esk242_2(X1,X2),unordered_pair(X1,X1))=esk240_2(X1,X2)|esk245_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1052, plain, (esk180_2(X1,X2)=esk177_2(X1,X2)|in(esk185_5(X1,X2,X3,X4,X4),X4)|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1028, plain, (esk181_2(X1,X2)=esk177_2(X1,X2)|in(esk185_5(X1,X2,X3,X4,X4),X4)|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1378, plain, (set_difference(esk243_2(X1,X2),unordered_pair(X1,X1))=esk241_2(X1,X2)|esk245_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1482, plain, (in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1450, plain, (in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1858, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|function(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2067, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1722, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|in(X3,esk309_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1698, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|in(X3,esk309_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1143, plain, (empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2051, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk369_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2080, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|function(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1859, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|relation(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1089, plain, (empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1710, plain, (esk307_2(X1,X2)=esk305_2(X1,X2)|in(X3,esk309_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1686, plain, (esk308_2(X1,X2)=esk306_2(X1,X2)|in(X3,esk309_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1897, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk346_2(X1,X2),esk348_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2081, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|relation(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2064, lemma, (tr(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_934, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1527, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk278_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk282_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|esk273_2(X3,X4)!=esk272_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5)))).
% 8.22/2.39 cnf(i_0_1883, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk348_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1023, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk179_2(X1,X4),esk181_2(X1,X4))|~relation(X4)|~in(X3,esk184_3(X1,X4,X2))|~in(X2,esk182_2(X1,X4)))).
% 8.22/2.39 cnf(i_0_1267, plain, (X1=esk223_3(X2,X3,X4)|X4=empty_set|epred2_3(esk219_1(X2),esk218_1(X2),esk217_1(X2))|~subset(esk223_3(X2,X3,X4),X1)|~ordinal(X2)|~element(X4,powerset(powerset(esk222_2(X2,X3))))|~in(esk222_2(X2,X3),omega)|~in(X3,esk220_1(X2))|~in(X1,X4))).
% 8.22/2.39 cnf(i_0_2112, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|X4=empty_set|in(esk372_2(X5,X4),X4)|~subset(esk375_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X4,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk371_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1829, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk349_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_920, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_926, lemma, (X1=subset_complement(the_carrier(X2),X3)|in(esk160_2(X2,X4),complements_of_subsets(the_carrier(X2),X4))|~one_sorted_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2)))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk163_2(X2,X4)))).
% 8.22/2.39 cnf(i_0_1225, plain, (unordered_pair(esk209_1(X1),esk209_1(X1))=esk210_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk213_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_270, plain, (unordered_pair(unordered_pair(esk57_3(X1,X2,X3),esk57_3(X1,X2,X3)),unordered_pair(esk57_3(X1,X2,X3),esk58_3(X1,X2,X3)))=esk56_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk56_3(X1,X2,X3),X3))).
% 8.22/2.39 cnf(i_0_2111, lemma, (X1=esk372_2(X2,X3)|X4=empty_set|X3=empty_set|in(esk375_2(X5,X4),X4)|~subset(esk372_2(X2,X3),X1)|~ordinal(X2)|~ordinal(X5)|~element(X3,powerset(powerset(X2)))|~element(X4,powerset(powerset(X5)))|~in(X2,omega)|~in(X2,esk371_0)|~in(X5,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1395, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk244_2(X2,X3))|in(esk242_2(X2,X3),X3)|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1518, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk266_2(X1,X2)|esk270_4(X1,X2,X3,X4)=X4|in(X3,esk268_2(X1,X2))|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|function(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1911, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1843, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk347_2(X1,X2),esk349_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1704, plain, (in(X1,esk309_2(X2,X3))|in(esk307_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1680, plain, (in(X1,esk309_2(X2,X3))|in(esk308_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_2065, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|relation(esk370_2(X1,X2))|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1396, plain, (set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|in(esk242_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1381, plain, (set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|in(esk243_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1924, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1242, plain, (unordered_pair(unordered_pair(esk209_1(X1),esk209_1(X1)),unordered_pair(esk209_1(X1),esk210_1(X1)))=esk207_1(X1)|in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_847, lemma, (empty(X1)|in(X2,esk154_4(X1,X3,X4,X2))|in(esk148_2(X1,X3),X1)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),esk153_2(X1,X3)))).
% 8.22/2.39 cnf(i_0_1218, plain, (unordered_pair(unordered_pair(esk211_1(X1),esk211_1(X1)),unordered_pair(esk211_1(X1),esk212_1(X1)))=esk208_1(X1)|in(esk214_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2012, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|function(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2013, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1925, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_77, plain, (esk2_2(X1,X2)=esk1_2(X1,X2)|X2=identity_relation(X1)|in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X2)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1250, plain, (subset(X1,esk225_4(X2,X3,X3,X1))|in(X3,esk220_1(X2))|esk218_1(X2)!=esk219_1(X2)|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X1,esk224_3(X2,X3,X3)))).
% 8.22/2.39 cnf(i_0_78, plain, (X1=identity_relation(X2)|in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)|in(esk1_2(X2,X1),X2)|~relation(X1))).
% 8.22/2.39 cnf(i_0_1996, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|function(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_c
% 8.22/2.39 cnf(i_0_1201, plain, (unordered_pair(esk211_1(X1),esk211_1(X1))=esk212_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk213_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_2094, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk365_2(X1,X2),X2)|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1380, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk244_2(X2,X3))|in(esk243_2(X2,X3),X3)|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_870, lemma, (esk151_2(X1,X2)=esk148_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)),esk153_2(X1,X2))|~in(X4,esk154_4(X1,X2,X5,X3)))).
% 8.22/2.39 cnf(i_0_1881, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk348_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1508, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk267_2(X1,X2)|esk270_4(X1,X2,X3,X4)=X4|in(X3,esk268_2(X1,X2))|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1420, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk248_2(X1,X2)|in(X3,esk250_2(X1,X2))|subset_complement(the_carrier(X1),esk252_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1766, lemma, (esk333_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)),esk330_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.39 cnf(i_0_1827, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk349_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_838, lemma, (esk152_2(X1,X2)=esk148_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)),esk153_2(X1,X2))|~in(X4,esk154_4(X1,X2,X5,X3)))).
% 8.22/2.39 cnf(i_0_1795, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_998, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|X4=empty_set|in(esk172_2(X5,X4),X4)|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X4,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk171_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_692, 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)))).
% 8.22/2.39 cnf(i_0_1410, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk249_2(X1,X2)|in(X3,esk250_2(X1,X2))|subset_complement(the_carrier(X1),esk252_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1423, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk248_2(X1,X2)|subset_complement(the_carrier(X1),esk251_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk251arrier(X1)))))).
% 8.22/2.39 cnf(i_0_1997, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation(esk364_2(X1,X2))|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1857, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_311, plain, (X1=relation_dom(X2)|in(unordered_pair(unordered_pair(esk68_2(X2,X1),esk68_2(X2,X1)),unordered_pair(esk68_2(X2,X1),esk69_2(X2,X1))),X2)|in(esk68_2(X2,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1264, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|in(X2,esk220_1(X1))|esk224_3(X1,X2,X2)!=empty_set|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.39 cnf(i_0_672, 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))).
% 8.22/2.39 cnf(i_0_362, plain, (X1=relation_rng(X2)|in(unordered_pair(unordered_pair(esk82_2(X2,X1),esk83_2(X2,X1)),unordered_pair(esk83_2(X2,X1),esk83_2(X2,X1))),X2)|in(esk82_2(X2,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2076, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|function(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2077, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|relation(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1930, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1931, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1273, plain, (in(X1,esk231_2(X2,X3))|esk228_2(X2,X3)!=esk227_2(X2,X3)|~closed_subset(X1,X2)|~topological_space(X2)|~top_str(X2)|~subset(X3,X1)|~element(X3,powerset(the_carrier(X2)))|~in(X1,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_858, lemma, (function(esk153_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk151_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2060, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|function(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2061, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|relation(esk370_2(X1,X2))|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_365, plain, (in(unordered_pair(unordered_pair(X1,esk81_3(X2,relation_rng(X2),X1)),unordered_pair(esk81_3(X2,relation_rng(X2),X1),esk81_3(X2,relation_rng(X2),X1))),X2)|~relation(X2)|~in(X1,relation_rng(X2)))).
% 8.22/2.39 cnf(i_0_826, lemma, (function(esk153_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk152_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1743, lemma, (in(esk324_4(X1,X2,X2,X3),esk323_3(X1,X2,X2))|in(X2,esk320_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk323_3(X1,X2,X2)))).
% 8.22/2.39 cnf(i_0_1033, plain, (in(X1,esk182_2(X2,X3))|in(esk177_2(X2,X3),X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk185_5(X2,X3,X1,X4,X4))),X3)|~in(X4,X2)|~i_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_275, plain, (unordered_pair(unordered_pair(esk54_4(X1,X2,cartesian_product2(X1,X2),X3),esk54_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk54_4(X1,X2,cartesian_product2(X1,X2),X3),esk55_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))).
% 8.22/2.39 cnf(i_0_997, lemma, (X1=esk172_2(X2,X3)|X4=empty_set|X3=empty_set|in(esk175_2(X5,X4),X4)|~epred1_0|~subset(esk172_2(X2,X3),X1)|~ordinal(X2)|~ordinal(X5)|~element(X3,powerset(powerset(X2)))|~element(X4,powerset(powerset(X5)))|~in(X2,omega)|~in(X2,esk171_0)|~in(X5,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2071, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1413, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk249_2(X1,X2)|subset_complement(the_carrier(X1),esk251_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk251_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1520, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk266_2(X1,X2)|subset_complement(the_carrier(X1),esk269_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk269_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1779, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk338_3(X3,X4,X5))|~relation(X4)|~relation(X5)|~function(X5)|~in(unordered_pair(unordered_pair(apply(X5,X1),apply(X5,X2)),unordered_pair(apply(X5,X1),apply(X5,X1))),X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X3)))).
% 8.22/2.39 cnf(i_0_1886, lemma, (esk353_3(X1,X2,X3)=X3|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1832, lemma, (esk353_3(X1,X2,X3)=X3|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2055, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1510, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk267_2(X1,X2)|subset_complement(the_carrier(X1),esk269_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk269_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2011, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1729, lemma, (in(esk316_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)),esk312_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.39 cnf(i_0_1892, lemma, (esk353_3(X1,X2,X3)=X3|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1838, lemma, (esk353_3(X1,X2,X3)=X3|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1497, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|esk253_2(X1,X2)=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_946, lemma, (element(esk169_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|esk166_2(X1,X2)!=esk167_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1995, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1421, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk248_2(X1,X2)|esk252_4(X1,X2,X3,X4)=X4|in(X3,esk250_2(X1,X2))|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1801, lemma, (in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X3,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.39 cnf(i_0_2227, lemma, (in(unordered_pair(unordered_pair(X1,esk389_4(X2,X3,X4,X1)),unordered_pair(esk389_4(X2,X3,X4,X1),esk389_4(X2,X3,X4,X1))),X4)|relation_rng_as_subset(X2,X3,X4)!=X3|~relation_of2_as_subset(X4,X2,X3)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1465, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|esk253_2(X1,X2)=esk255_2(X1,X2)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1594, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|esk271_2(X1,X2)=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_126, plain, (X1=relation_image(X2,X3)|in(unordered_pair(unordered_pair(esk15_3(X2,X3,X1),esk16_3(X2,X3,X1)),unordered_pair(esk16_3(X2,X3,X1),esk16_3(X2,X3,X1))),X2)|in(esk15_3(X2,X3,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1411, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk249_2(X1,X2)|esk252_4(X1,X2,X3,X4)=X4|in(X3,esk250_2(X1,X2))|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1474, plain, (subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2007, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1562, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|esk271_2(X1,X2)=esk273_2(X1,X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1578, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_132, plain, (X1=relation_in(X1,X4))).
% 8.22/2.39 cnf(i_0_859, lemma, (relation(esk153_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk151_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1417, plain, (element(esk252_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(esk247_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk250_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_2003, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1772, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk334_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk337_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5)))).
% 8.22/2.39 cnf(i_0_827, lemma, (relation(esk153_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk152_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1370, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk244_2(X2,X3))|esk241_2(X2,X3)!=esk240_2(X2,X3)|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_945, lemma, (esk169_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|esk166_2(X1,X2)!=esk167_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1987, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk363_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1802, lemma, (esk353_3(X1,X2,X3)=X3|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1904, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|esk353_3(X1,X2,X3)=X3|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1850, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|esk353_3(X1,X2,X3)=X3|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1929, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1521, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk266_2(X1,X2)|in(esk269_3(X1,X2,X3),X2)|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1511, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk267_2(X1,X2)|in(esk269_3(X1,X2,X3),X2)|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1923, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1246, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|esk206_1(X1)=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_242, nverse_image(X2,X3)|in(unordered_pair(unordered_pair(esk18_3(X2,X3,X1),esk18_3(X2,X3,X1)),unordered_pair(esk18_3(X2,X3,X1),esk19_3(X2,X3,X1))),X2)|in(esk18_3(X2,X3,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1442, plain, (subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1982, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1991, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1546, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1169, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|esk196_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1519, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk266_2(X1,X2)|element(esk270_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk268_2(X1,X2))|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1509, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk267_2(X1,X2)|element(esk270_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk268_2(X1,X2))|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1591, plain, (esk271_2(X1,X2)=esk272_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk278_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk282_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 8.22/2.39 cnf(i_0_1115, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|esk196_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_812, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|esk150_2(X3,X4)!=esk149_2(X3,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk155_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_958, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk168_2(X3,X4))|in(esk165_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk169_4(X3,X4,X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,X4))).
% 8.22/2.39 cnf(i_0_2038, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk369_3(X1,X2,X4)=esk368_2(X1,X2)|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_2082, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk365_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1559, plain, (esk271_2(X1,X2)=esk273_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk278_3(X1,X2,X5))|subset_plain, (X1=X2|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk47_2(X1,X2),esk47_2(X1,X2)),unordered_pair(esk47_2(X1,X2),esk48_2(X1,X2))),X2)|~in(unordered_pair(unordered_pair(esk47_2(X1,X2),esk47_2(X1,X2)),unordered_pair(esk47_2(X1,X2),esk48_2(X1,X2))),X1))).
% 8.22/2.39 cnf(i_0_1433, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1530, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1222, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|esk206_1(X1)=esk208_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1476, plain, (subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|esk261_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1444, plain, (subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|esk261_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1243, plain, (esk206_1(X1)=esk207_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk213_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1198, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|esk208_1(X1)!=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1392, plain, (set_difference(esk242_2(X1,X2),unordered_pair(X1,X1))=esk240_2(X1,X2)|in(esk246_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1377, plain, (set_difference(esk243_2(X1,X2),unordered_pair(X1,X1))=esk241_2(X1,X2)|in(esk246_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1034, plain, (in(esk185_5(X1,X2,X3,X4,X4),X4)|in(X3,esk182_2(X1,X2))|in(esk177_2(X1,X2),X1)|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1573, plain, (subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|esk279_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1541, plain, (subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|esk279_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1219, plain, (esk206_1(X1)=esk208_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk213_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_1670, plain, (esk299_3(X1,X2,X3)=esk300_3(X1,X2,X3)|in(X4,esk302_3(X1,X2,X3))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,powerset(relation_dom(X3)))|~in(relation_image(X3,X4),X2))).
% 8.22/2.39 cnf(i_0_2034, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X4))!=X4|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_2016, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|function(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(complement(the_carrier(X1),esk282_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 8.22/2.39 cnf(i_0_1422, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk248_2(X1,X2)|element(esk252_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk250_2(X1,X2))|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_2110, lemma, (X1=esk375_2(X2,X3)|X4=esk372_2(X5,X6)|X3=empty_set|X6=empty_set|~subset(esk372_2(X5,X6),X4)|~subset(esk375_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X6,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk371_0)|~in(X2,omega)|~in(X4,X6)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_426, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~is_transitive_in(X3,X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),X3)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X3)|~in(X2,X4)|~in(X5,X4)|~in(X1,X4))).
% 8.22/2.39 cnf(i_0_924, lemma, (esk164_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|in(esk160_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1412, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk249_2(X1,X2)|element(esk252_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk250_2(X1,X2))|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_911, lemma, (element(esk164_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|esk161_2(X1,X2)!=esk162_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1774, lemma, (element(esk337_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk334_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.39 cnf(i_0_1574, plain, (subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1004, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk176_3(X3,X4,X5))|~relation(X4)|~relation(X5)|~function(X5)|~in(unordered_pair(unordered_pair(apply(X5,X1),apply(X5,X2)),unordered_pair(apply(X5,X1),apply(X5,X1))),X4)|~in(X2,X3)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_384, 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))).
% 8.22/2.39 cnf(i_0_996, lemma, (X1=esk175_2(X2,X3)|X4=esk172_2(X5,X6)|X3=empty_set|X6=empty_set|~epred1_0|~subset(esk172_2(X5,X6),X4)|~subset(esk175_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X6,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk171_0)|~in(X2,omega)|~in(X4,X6)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_846, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk148_2(X1,X4),X1)|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk153_2(X1,X4))|~in(X3,esk154_4(X1,X4,X5,X2)))).
% 8.22/2.39 cnf(i_0_1542, plain, (subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1231, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk213_2(X2,X3))|in(esk209_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1662, plain, (esk299_3(X1,X2,X3)=esk301_3(X1,X2,X3)|in(X4,esk302_3(X1,X2,X3))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,powerset(relation_dom(X3)))|~in(relation_image(X3,X4),X2))).
% 8.22/2.39 cnf(i_0_1053, plain, (esk180_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(X4,esk184_3(X1,X2,X3))|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1029, plain, (esk181_2(X1,X2)=esk177_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(X4,esk184_3(X1,X2,X3))|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2017, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2000, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|function(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1207, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk213_2(X2,X3))|in(esk211_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 8.22/2.39 cnf(i_0_1035, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk177_2(X1,X4),X1)|~relation(X4)|~in(X3,esk184_3(X1,X4,X2))|~in(X2,esk182_2(X1,X4)))).
% 8.22/2.39 cnf(i_0_2001, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation(esk364_2(X1,X2))|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2113, lemma, (X1=empty_set|X2=empty_set|in(esk375_2(X3,X1),X1)|in(esk372_2(X4,X2),X2)|~ordinal(X4)|~ordinal(X3)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3)))|~in(X4,omega)|~in(X4,esk371_0)|~in(X3,omega))).
% 8.22/2.39 cnf(i_0_419, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk94_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)))).
% 8.22/2.39 cnf(i_0_961, lemma, (X1=subset_complement(the_carrier(X2),X3)|in(esk165_2(X2,X4),X4)|~one_sorted_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2)))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk168_2(X2,X4)))).
% 8.22/2.39 cnf(i_0_794, 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)|~quasi_total(X4,cartesian_product2(X1,X2),X3)|~function(X4)|~element(X6,X2)|~element(X5,X1))).
% 8.22/2.39 cnf(i_0_1894, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_910, lemma, (esk164_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|esk161_2(X1,X2)!=esk162_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1840, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1895, lemma, (r~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1974, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk363_3(X1,X2,X4)=esk362_2(X1,X2)|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1528, plain, (esk282_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)),esk278_3(X1,X2,X3))|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.39 cnf(i_0_1265, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|element(esk224_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk220_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.39 cnf(i_0_813, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|in(esk155_5(X3,X4,X1,X2,X1),X1)|esk150_2(X3,X4)!=esk149_2(X3,X4)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1734, lemma, (unordered_pair(unordered_pair(esk313_4(X1,X2,X3,X4),esk313_4(X1,X2,X3,X4)),unordered_pair(esk313_4(X1,X2,X3,X4),esk314_4(X1,X2,X3,X4)))=X4|empty(X1)|~relation(X2)|~in(X4,esk312_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1481, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1449, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2086, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk369_3(X1,X2,X4)=esk368_2(X1,X2)|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1903, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1849, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_960, lemma, (element(esk169_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|in(esk165_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_2090, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk369_3(X1,X2,X4),powerset(the_carrier(X1)))|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1767, lemma, (element(esk333_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk330_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.39 cnf(i_0_1477, plain, (subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_elation(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1970, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk363_3(X1,X2,X4))!=X4|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_387, plain, (X1=relation_inverse(X2)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk86_2(X2,X1),esk86_2(X2,X1)),unordered_pair(esk86_2(X2,X1),esk87_2(X2,X1))),X1)|~in(unordered_pair(unordered_pair(esk86_2(X2,X1),esk87_2(X2,X1)),unordered_pair(esk87_2(X2,X1),esk87_2(X2,X1))),X2))).
% 8.22/2.39 cnf(i_0_1841, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2046, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk368_2(X1,X2),X2)|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1394, plain, (set_difference(esk242_2(X1,X2),unordered_pair(X1,X1))=esk240_2(X1,X2)|in(esk245_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1379, plain, (set_difference(esk243_2(X1,X2),unordered_pair(X1,X1))=esk241_2(X1,X2)|in(esk245_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_166, plain, (unordered_pair(unordered_pair(esk25_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk25_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)),unordered_pair(esk25_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk26_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X3=X1)).
% 8.22/2.39 cnf(i_0_1138, plain, (empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_944, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk168_2(X3,X4))|subset_complement(the_carrier(X3),esk169_4(X3,X4,X1,X2))!=X2|esk166_2(X3,X4)!=esk167_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,X4))).
% 8.22/2.39 cnf(i_0_1266, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|in(X2,esk220_1(X1))|in(X2,omega)|~ordinal(X1)|~ordinal(X2)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.39 cnf(i_0_863, lemma, (empty(X1)|in(esk149_2(X1,X2),esk151_2(X1,X2))|in(X3,esk154_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1084, plain, (empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1336, plain, (element(esk229_2(X1,X2),powerset(the_carrier(X1)))|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1301, plain, (element(esk230_2(X1,X2),powerset(the_carrier(X1)))|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_235, plain, (unordered_pair(unordered_pair(esk45_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk44_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)),unordered_pair(esk44_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk44_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X3=X2)).
% 8.22/2.39 cnf(i_0_1893, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk351_4(X1carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1921, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_394, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation_isomorphism(X3,X4,X5)|~relation(X4)|~relation(X5)|~relation(X3)|~function(X5)|~in(unordered_pair(unordered_pair(apply(X5,X1),apply(X5,X2)),unordered_pair(apply(X5,X1),apply(X5,X1))),X4)|~in(X2,relation_field(X3))|~in(X1,relation_field(X3)))).
% 8.22/2.39 cnf(i_0_1445, plain, (subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2030, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk359_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))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1430, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk260_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk264_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|esk255_2(X3,X4)!=esk254_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5)))).
% 8.22/2.39 cnf(i_0_1005, lemma, (in(unordered_pair(unordered_pair(apply(X1,X2),apply(X1,X3)),unordered_pair(apply(X1,X2),apply(X1,X2))),X4)|~relation(X4)|~relation(X1)|~function(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk176_3(X5,X4,X1)))).
% 8.22/2.39 cnf(i_0_1492, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|esk261_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2018, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_933, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1)))|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk163_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1909, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|~relation(X2)|~in(X3,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.39 cnf(i_0_1460, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|esk261_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1262, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|subset(X2,esk225_4(X1,X3,X3,X2))|in(X3,esk220_1(X1))|~ordinal(X3)|~ordinal(X1)|~in(X3,set_union2(X1,unordered_pair(X1,X1)))|~in(X2,esk224_3(X1,X3,X3)))).
% 8.22/2.39 cnf(i_0_1589, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|esk279_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_919, lemma, (subset_compleme,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_831, lemma, (empty(X1)|in(esk150_2(X1,X2),esk152_2(X1,X2))|in(X3,esk154_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk153_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1839, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1400, plain, (esk239_2(X1,X2)=esk240_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk244_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_969, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|in(X3,X2)|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1888, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1234, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|in(esk209_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_955, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|in(X3,X2)|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1385, plain, (esk239_2(X1,X2)=esk241_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk244_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1210, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|in(esk211_1(X1),X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_999, lemma, (X1=empty_set|X2=empty_set|in(esk175_2(X3,X1),X1)|in(esk172_2(X4,X2),X2)|~epred1_0|~ordinal(X4)|~ordinal(X3)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3)))|~in(X4,omega)|~in(X4,esk171_0)|~in(X3,omega))).
% 8.22/2.39 cnf(i_0_1424, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk248_2(X1,X2)|in(esk251_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1834, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1414, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk249_2(X1,X2)|in(esk251_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1922, lemma, (esk353_3(X1,X2,X3)=X3|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1261, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|in(X2,esk220_1(X1))|esk225_4(X1,X2,X2,X3)!=X3|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk224_3(X1,X2,X2)))).
% 8.22/2.39 cnf(i_0_814, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|esk150_2(X1,X4)!=esk149_2(X1,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk153_2(X1,X4))|~in(X3,esk154_4(X1,X4,X5,X2)))).
% 8.22/2.39 cnf(i_0_214, plain, (X1=fint(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1)))|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk163_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_968, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1)))|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk168_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1855, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|~relation(X2)|~in(X3,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.39 cnf(i_0_1557, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|esk279_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1390, plain, (set_difference(esk242_2(X1,X2),unordered_pair(X1,X1))=esk240_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk244_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1375, plain, (set_difference(esk243_2(X1,X2),unordered_pair(X1,X1))=esk241_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk244_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_87, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|in(esk3_3(X2,X3,X1),X3)|~relation(X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_954, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1)))|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk168_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2026, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk363_3(X1,X2,X4),powerset(the_carrier(X1)))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1927, lemma, (in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X3,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.39 cnf(i_0_101, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X1)|in(esk9_3(X2,X3,X1),X2)|~relation(X1)|~relation(X3))).
% 8.22/2.39 cnf(i_0_868, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk155_5(X1,X2,X3,X4,X3))),X2)|~in(X3,X1)|~in(X4,X3))).
% 8.22/2.39 cnf(i_0_836, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk155_5(X1,X2,X3,X4,X3))),X2)|~in(X3,X1)|~in(X4,X3))).
% 8.22/2.39 cnf(i_0_1167, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_923, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk163_2(X3,X4))|in(esk160_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk164_4(X3,X4,X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,complements_of_subsets(the_carrier(X3),X4)))).
% 8.22/2.39 cnf(i_0_925, lemma, (element(esk164_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|in(esk160_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1063, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk195_3(X3,X4,X5))|esk188_2(X3,X4)!=esk187_2(X3,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk200_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))).
% 8.22/2.39 cnf(i_0_1113, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1042, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk178_2(X1,X2),X3),unordered_pair(esk178_2(X1,X2),esk178_2(X1,X2))),X2)|in(X4,esk184_3(X1,X2,X4))|~relation(X2)|~in(X3,esk180_2(X1,X2))|~in(X4,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1018, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk179_2(X1,X2),X3),unordered_pair(esk179_2(X1,X2),esk179_2(X1,X2))),X2)|in(X4,esk184_3(X1,X2,X4))|~relation(X2)|~in(X3,esk181_2(X1,X2))|~in(X4,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1044, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk178_2(X1,X2),X3),unordered_pair(esk178_2(X1,X2),esk178_2(X1,X2))),X2)|in(esk183_3(X1,X2,X4),X1)|~relation(X2)|~in(X3,esk180_2(X1,X2))|~in(X4,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1020, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk179_2(X1,X2),X3),unordered_pair(esk179_2(X1,X2),esk179_2(X1,X2))),X2)|in(esk183_3(X1,X2,X4),X1)|~relation(X2)|~in(X3,esk181_2(X1,X2))|~in(X4,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1133, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X5),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3))|~in(X5,esk191_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2022, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk363_3(X1,X2,X4)=esk362_2(X1,X2)|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1473, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1575, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk278_3(X3,X4,X5))|in(esk274_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk282_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5)))).
% 8.22/2.39 cnf(i_0_1079, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X5),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3))|~in(X5,esk194_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1885, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1831, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk347_2(X1,X2),esk349_2(X1,X2))|ber(X2,X3)|in(unordered_pair(unordered_pair(X3,esk39_3(X2,X3,X1)),unordered_pair(esk39_3(X2,X3,X1),esk39_3(X2,X3,X1))),X2)|in(esk39_3(X2,X3,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_2042, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk369_3(X1,X2,X4),powerset(the_carrier(X1)))|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1362, plain, (in(set_difference(cast_as_carrier_subset(X1),esk235_2(X1,X2)),X2)|in(X3,esk237_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1889, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1669, plain, (in(esk303_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk300_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1910, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|esk353_3(X1,X2,X3)=X3|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1354, plain, (in(set_difference(cast_as_carrier_subset(X1),esk236_2(X1,X2)),X2)|in(X3,esk237_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2008, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|function(esk364_2(X1,X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1835, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1856, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|esk353_3(X1,X2,X3)=X3|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1045, plain, (in(esk178_2(X1,X2),esk180_2(X1,X2))|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk185_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1021, plain, (in(esk179_2(X1,X2),esk181_2(X1,X2))|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk185_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1661, plain, (in(esk303_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk301_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk302_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1928, lemma, (esk353_3(X1,X2,X3)=X3|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2009, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|relation(esk364_2(X1,X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1992, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|function(esk364_2(X1,X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1773, lemma, (esk337_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)),esk334_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.39 cnf(i_0_959, lemma, (esk169_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|in(esk165_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1251, plain, (in(esk225_4(X1,X2,X2,X3),esk224_3(X1,X2,X2))|in(X2,esk220_1(X1))|esk218_1(X1)!=esk219_1(X1)|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk224_3(X1,X2,X2)))).
% 8.22/2.39 cnf(i_0_909, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk163_2(X3,X4))|subset_complement(the_carrier(X3),esk164_4(X3,X4,X1,X2))!=X2|esk161_2(X3,X4)!=esk162_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,complements_of_subsets(the_carrier(X3),X4)))).
% 8.22/2.39 cnf(i_0_1993, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|relation(esk364_2(X1,X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2072, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|esk369_3(X1,X2,X3)=esk368_2(X1,X2)|function(esk370_2(X1,X2))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1765, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk330_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk333_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5)))).
% 8.22/2.39 cnf(i_0_1343, plain, (esk226_2(X1,X2)=esk227_2(X1,X2)|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1308, plain, (esk226_2(X1,X2)=esk228_2(X1,X2)|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2073, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation(esk370_2(X1,X2))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2056, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|esk369_3(X1,X2,X3)=esk368_2(X1,X2)|function(esk370_2(X1,X2))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2057, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation(esk370_2(X1,X2))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1887, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1228, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|unordered_pair(esk209_1(X1),esk209_1(X1))=esk210_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1329, plain, (esk229_2(X1,X2)=esk227_2(X1,X2)|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1294, plain, (esk230_2(X1,X2)=esk228_2(X1,X2)|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1204, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|unordered_pair(esk211_1(X1),esk211_1(X1))=esk212_1(X1)|~in(X3,esk213~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_869, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2))|in(esk155_5(X1,X2,X3,X4,X3),X3)|~relation(X2)|~in(X4,X3)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1441, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1543, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk278_3(X3,X4,X5))|in(esk276_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk282_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5)))).
% 8.22/2.39 cnf(i_0_837, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2))|in(esk155_5(X1,X2,X3,X4,X3),X3)|~relation(X2)|~in(X4,X3)|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1730, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk314_4(X1,X2,X3,X4),X5),unordered_pair(esk314_4(X1,X2,X3,X4),esk314_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk315_4(X1,X2,X3,X4))|~in(X4,esk312_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_857, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|in(X4,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk153_2(X1,X2))|~in(X3,esk151_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_825, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|in(X4,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk153_2(X1,X2))|~in(X3,esk152_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1043, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk178_2(X1,X2),X4),unordered_pair(esk178_2(X1,X2),esk178_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk180_2(X1,X2))|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1570, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1538, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_966, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|esk169_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1019, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk179_2(X1,X2),X4),unordered_pair(esk179_2(X1,X2),esk179_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk181_2(X1,X2))|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_395, plain, (in(unordered_pair(unordered_pair(apply(X1,X2),apply(X1,X3)),unordered_pair(apply(X1,X2),apply(X1,X2))),X4)|~relation_isomorphism(X5,X4,X1)|~relation(X5)|~relation(X4)|~relation(X1)|~function(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X5))).
% 8.22/2.39 cnf(i_0_88, plain, (X1=relation_dom_restriction(X2,X3)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk3_3(X_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2079, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2063, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1833, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk351_4(X1,X2,X3,esk350_2(X1,X2)))),X2)|~in(X3,esk350_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1238, plain, (unordered_pair(unordered_pair(esk209_1(X1),esk209_1(X1)),unordered_pair(esk209_1(X1),esk210_1(X1)))=esk207_1(X1)|unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1315, plain, (subset(X1,esk227_2(X2,X1))|in(X3,esk231_2(X2,X1))|~closed_subset(X3,X2)|~topological_space(X2)|~top_str(X2)|~subset(X1,X3)|~element(X1,powerset(the_carrier(X2)))|~in(X3,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_1280, plain, (subset(X1,esk228_2(X2,X1))|in(X3,esk231_2(X2,X1))|~closed_subset(X3,X2)|~topological_space(X2)|~top_str(X2)|~subset(X1,X3)|~element(X1,powerset(the_carrier(X2)))|~in(X3,powerset(the_carrier(X2))))).
% 8.22/2.39 cnf(i_0_1214, plain, (unordered_pair(unordered_pair(esk211_1(X1),esk211_1(X1)),unordered_pair(esk211_1(X1),esk212_1(X1)))=esk208_1(X1)|unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3))=esk216_3(X1,X2,X3)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1571, plain, (subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|in(esk280_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1539, plain, (subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|in(esk280_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1728, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk312_3(X3,X4,X5))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk316_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))).
% 8.22/2.39 cnf(i_0_1322, plain, (closed_subset(esk229_2(X1,X2),X1)|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_1287, plain, (closed_subset(esk230_2(X1,X2),X1)|in(X3,esk231_2(X1,X2))|~closed_subset(X3,X1)|~topological_space(X1)|~top_str(X1)|~subset(X2,X3)|~element(X2,powerset(the_carrier(X1)))|~in(X3,powerset(the_carrier(X1))))).
% 8.22/2.39 cnf(i_0_2015, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation_dom(esk364_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(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1999, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation_dom(esk364_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(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_220, plain, (inclusion_relation(relation_field(X1))=X1|subset(esk40_2(relation_field(X1),X1),esk41_2(relation_field(X1),X1))|in(unordered_pair(unordered_pair(esk40_2(relation_field(X1),X1),esk40_2(relation_field(X1),X1)),unordered_pair(esk40_2(relation_field(X1),X1),esk41_2(relation_field(X1),X1))),X1)|~relation2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X2)|~in(esk3_3(X2,X3,X1),X3))).
% 8.22/2.39 cnf(i_0_1770, lemma, (unordered_pair(unordered_pair(esk331_4(X1,X2,X3,X4),esk331_4(X1,X2,X3,X4)),unordered_pair(esk331_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_952, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|esk169_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1891, lemma, (in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.39 cnf(i_0_1777, lemma, (unordered_pair(unordered_pair(esk335_4(X1,X2,X3,X4),esk335_4(X1,X2,X3,X4)),unordered_pair(esk335_4(X1,X2,X3,X4),esk336_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk334_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2066, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_102, plain, (X1=relation_rng_restriction(X2,X3)|~relation(X1)|~relation(X3)|~in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X3)|~in(esk9_3(X2,X3,X1),X2))).
% 8.22/2.39 cnf(i_0_1880, lemma, (esk353_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X4),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk348_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2050, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_931, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|esk164_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1837, lemma, (in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.39 cnf(i_0_1826, lemma, (esk353_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X4),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk349_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1781, lemma, (unordered_pair(unordered_pair(esk339_4(X1,X2,X3,X4),esk339_4(X1,X2,X3,X4)),unordered_pair(esk339_4(X1,X2,X3,X4),esk340_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk338_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_862, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk149_2(X1,X4),esk151_2(X1,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk153_2(X1,X4))|~in(X3,esk154_4(X1,X4,X5,X2)))).
% 8.22/2.39 cnf(i_0_830, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk150_2(X1,X4),esk152_2(X1,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk153_2((X1))).
% 8.22/2.39 cnf(i_0_1391, plain, (set_difference(esk242_2(X1,X2),unordered_pair(X1,X1))=esk240_2(X1,X2)|set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1666, plain, (in(relation_image(X1,esk300_3(X2,X3,X1)),X3)|in(X4,esk302_3(X2,X3,X1))|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,powerset(relation_dom(X1)))|~in(relation_image(X1,X4),X3))).
% 8.22/2.39 cnf(i_0_1658, plain, (in(relation_image(X1,esk301_3(X2,X3,X1)),X3)|in(X4,esk302_3(X2,X3,X1))|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,powerset(relation_dom(X1)))|~in(relation_image(X1,X4),X3))).
% 8.22/2.39 cnf(i_0_1376, plain, (set_difference(esk243_2(X1,X2),unordered_pair(X1,X1))=esk241_2(X1,X2)|set_difference(esk246_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk244_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1517, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk266_2(X1,X2)|in(X3,esk268_2(X1,X2))|subset_complement(the_carrier(X1),esk270_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1507, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk267_2(X1,X2)|in(X3,esk268_2(X1,X2))|subset_complement(the_carrier(X1),esk270_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_130, plain, (in(unordered_pair(unordered_pair(X1,esk14_4(X2,X3,relation_image(X2,X3),X1)),unordered_pair(esk14_4(X2,X3,relation_image(X2,X3),X1),esk14_4(X2,X3,relation_image(X2,X3),X1))),X2)|~relation(X2)|~in(X1,relation_image(X2,X3)))).
% 8.22/2.39 cnf(i_0_1046, plain, (in(esk178_2(X1,X2),esk180_2(X1,X2))|in(esk185_5(X1,X2,X3,X4,X4),X4)|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_1022, plain, (in(esk179_2(X1,X2),esk181_2(X1,X2))|in(esk185_5(X1,X2,X3,X4,X4),X4)|in(X3,esk182_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 8.22/2.39 cnf(i_0_2075, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_2059, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|element(esk369_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_417, 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))).
% 8.22/2.39 cnf(i_0_1882, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk348_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1268, plain, (X1=empty_set|epred2_3(esk219_1(X2),esk218_1(X2),esk217_1(X2))|in(esk223_3(X2,X3,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(esk222_2(X2,X3))))|~in(esk222_2(X2,X3),omega)|~in(X3,esk220_1(X2)))).
% 8.22/2.39 cnf(i_0_1047, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk178_2(X1,X4),esk180_2(X1,X4))|~relation(X4)|~in(X3,esk184_3(X1,X4,X2))|~in(X2,esk182_2(X1,X4)))).
% 8.22/2.39 cnf(i_0_1828, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk349_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1978, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk363_3(X1,X2,X4),powerset(the_carrier(X1)))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_sX1,X4))|~in(X3,esk154_4(X1,X4,X5,X2)))).
% 8.22/2.39 cnf(i_0_1166, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_917, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|esk164_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_2002, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk363_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1529, plain, (element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.39 cnf(i_0_1112, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1587, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|in(esk280_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1986, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk363_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_2078, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1494, plain, (esk253_2(X1,X2)=esk254_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk260_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk264_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 8.22/2.39 cnf(i_0_1555, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|in(esk280_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1131, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X3),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|in(esk197_4(X1,X2,X4,X5),X1)|~relation(X2)|~in(X5,esk195_3(X1,X2,X4))|~in(X3,esk191_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1077, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X3),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|in(esk197_4(X1,X2,X4,X5),X1)|~relation(X2)|~in(X5,esk195_3(X1,X2,X4))|~in(X3,esk194_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1170, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esktr(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_934, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1527, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk278_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk282_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|esk273_2(X3,X4)!=esk272_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5)))).
% 8.22/2.39 cnf(i_0_1883, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk348_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1023, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk179_2(X1,X4),esk181_2(X1,X4))|~relation(X4)|~in(X3,esk184_3(X1,X4,X2))|~in(X2,esk182_2(X1,X4)))).
% 8.22/2.39 cnf(i_0_1267, plain, (X1=esk223_3(X2,X3,X4)|X4=empty_set|epred2_3(esk219_1(X2),esk218_1(X2),esk217_1(X2))|~subset(esk223_3(X2,X3,X4),X1)|~ordinal(X2)|~element(X4,powerset(powerset(esk222_2(X2,X3))))|~in(esk222_2(X2,X3),omega)|~in(X3,esk220_1(X2))|~in(X1,X4))).
% 8.22/2.39 cnf(i_0_2112, lemma, (X1=esk375_2(X2,X3)|X3=empty_set|X4=empty_set|in(esk372_2(X5,X4),X4)|~subset(esk375_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X4,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk371_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1829, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk349_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_920, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_926, lemma, (X1=subset_complement(the_carrier(X2),X3)|in(esk160_2(X2,X4),complements_of_subsets(the_carrier(X2),X4))|~one_sorted_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))|~element(X3,powerset(the_carrier(X2)))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk163_2(X2,X4)))).
% 8.22/2.39 cnf(i_0_1225, plain, (unordered_pair(esk209_1(X1),esk209_1(X1))=esk210_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk213_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_270, plain, (unordered_pair(unordered_pair(esk57_3(X1,X2,X3),esk57_3(X1,X2,X3)),unordered_pair(esk57_3(X1,X2,X3),esk58_3(X1,X2,X3)))=esk56_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk56_3(X1,X2,X3),X3))).
% 8.22/2.39 cnf(i_0_2111, lemma, (X1=esk372_2(X2,X3)|X4=empty_set|X3=empty_set|in(esk375_2(X5,X4),X4)|~subset(esk372_2(X2,X3),X1)|~ordinal(X2)|~ordinal(X5)|~element(X3,powerset(powerset(X2)))|~element(X4,powerset(powerset(X5)))|~in(X2,omega)|~in(X2,esk371_0)|~in(X5,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1395, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk244_2(X2,X3))|in(esk242_2(X2,X3),X3)|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1518, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk266_2(X1,X2)|esk270_4(X1,X2,X3,X4)=X4|in(X3,esk268_2(X1,X2))|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).190_2(X1,X2)))=esk187_2(X1,X2)|empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2062, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_2074, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk369_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1462, plain, (esk253_2(X1,X2)=esk255_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk260_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk264_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 8.22/2.39 cnf(i_0_1116, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_844, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|in(esk148_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk155_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_845, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|in(esk155_5(X3,X4,X1,X2,X1),X1)|in(esk148_2(X3,X4),X3)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2058, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk369_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1431, plain, (esk264_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)),esk260_3(X1,X2,X3))|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.39 cnf(i_0_1177, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|esk186_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_965, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|subset_complement(the_carrier(X1),esk169_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1064, plain, (in(esk200_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)),esk195_3(X1,X2,X3))|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.39 cnf(i_0_1123, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|esk186_2(X1,X2)=esk188_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1065, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|e
% 8.22/2.39 cnf(i_0_1201, plain, (unordered_pair(esk211_1(X1),esk211_1(X1))=esk212_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk213_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_2094, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk365_2(X1,X2),X2)|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1380, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk244_2(X2,X3))|in(esk243_2(X2,X3),X3)|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_870, lemma, (esk151_2(X1,X2)=esk148_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)),esk153_2(X1,X2))|~in(X4,esk154_4(X1,X2,X5,X3)))).
% 8.22/2.39 cnf(i_0_1881, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk348_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1508, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk267_2(X1,X2)|esk270_4(X1,X2,X3,X4)=X4|in(X3,esk268_2(X1,X2))|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1420, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk248_2(X1,X2)|in(X3,esk250_2(X1,X2))|subset_complement(the_carrier(X1),esk252_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1766, lemma, (esk333_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)),esk330_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.39 cnf(i_0_1827, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk349_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_838, lemma, (esk152_2(X1,X2)=esk148_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)),esk153_2(X1,X2))|~in(X4,esk154_4(X1,X2,X5,X3)))).
% 8.22/2.39 cnf(i_0_1795, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_998, lemma, (X1=esk175_2(X2,X3)|X3=empty_set|X4=empty_set|in(esk172_2(X5,X4),X4)|~epred1_0|~subset(esk175_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X4,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk171_0)|~in(X2,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_692, 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)))).
% 8.22/2.39 cnf(i_0_1410, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk249_2(X1,X2)|in(X3,esk250_2(X1,X2))|subset_complement(the_carrier(X1),esk252_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1423, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk248_2(X1,X2)|subset_complement(the_carrier(X1),esk251_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk251sk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_856, lemma, (esk154_4(X1,X2,X3,X4)=X3|empty(X1)|in(unordered_pair(unordered_pair(esk149_2(X1,X2),X5),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2))|~in(X5,esk151_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_824, lemma, (esk154_4(X1,X2,X3,X4)=X3|empty(X1)|in(unordered_pair(unordered_pair(esk150_2(X1,X2),X5),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2))|~in(X5,esk152_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1150, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|esk189_2(X1,X2)=esk191_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_951, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|subset_complement(the_carrier(X1),esk169_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_2010, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk363_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1171, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk195_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk200_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))).
% 8.22/2.39 cnf(i_0_1096, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|esk192_2(X1,X2)=esk194_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1130, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X5),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3))|~in(X5,esk191_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1076, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X5),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3))|~in(X5,esk194_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1117, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk195_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk200_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))).
% 8.22/2.39 cnf(i_0_1144, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk195_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk200_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))).
% 8.22/2.39 cnf(i_0_1069, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1994, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk363__3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_275, plain, (unordered_pair(unordered_pair(esk54_4(X1,X2,cartesian_product2(X1,X2),X3),esk54_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk54_4(X1,X2,cartesian_product2(X1,X2),X3),esk55_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))).
% 8.22/2.39 cnf(i_0_997, lemma, (X1=esk172_2(X2,X3)|X4=empty_set|X3=empty_set|in(esk175_2(X5,X4),X4)|~epred1_0|~subset(esk172_2(X2,X3),X1)|~ordinal(X2)|~ordinal(X5)|~element(X3,powerset(powerset(X2)))|~element(X4,powerset(powerset(X5)))|~in(X2,omega)|~in(X2,esk171_0)|~in(X5,omega)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_2071, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1413, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk249_2(X1,X2)|subset_complement(the_carrier(X1),esk251_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk251_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk250_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1520, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk266_2(X1,X2)|subset_complement(the_carrier(X1),esk269_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk269_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1779, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk338_3(X3,X4,X5))|~relation(X4)|~relation(X5)|~function(X5)|~in(unordered_pair(unordered_pair(apply(X5,X1),apply(X5,X2)),unordered_pair(apply(X5,X1),apply(X5,X1))),X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X3)))).
% 8.22/2.39 cnf(i_0_1886, lemma, (esk353_3(X1,X2,X3)=X3|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1832, lemma, (esk353_3(X1,X2,X3)=X3|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_2055, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|esk369_3(X1,X2,X3)=esk368_2(X1,X2)|relation_dom(esk370_2(X1,X2))=X2|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1510, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk267_2(X1,X2)|subset_complement(the_carrier(X1),esk269_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk269_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk268_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_2011, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1729, lemma, (in(esk316_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)),esk312_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.39 cnf(i_0_1892, lemma, (esk353_3(X1,X2,X3)=X3|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1838, lemma, (esk353_3(X1,X2,X3)=X3|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_930, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|subset_complement(the_carrier(X1),esk164_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1090, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk195_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk200_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))).
% 8.22/2.39 cnf(i_0_1159, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1263, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|in(esk225_4(X1,X2,X2,X3),esk224_3(X1,X2,X2))|in(X2,esk220_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk224_3(X1,X2,X2)))).
% 8.22/2.39 cnf(i_0_1105, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_916, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|subset_complement(the_carrier(X1),esk164_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1490, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1458, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1599, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk290_3(X3,X4,X5))|esk285_3(X3,X4,X5)!=esk284_3(X3,X4,X5)|~relation(X4)|~relation(X5)|~function(X5)|~in(unordered_pair(unordered_pair(apply(X5,X1),apply(X5,X2)),unordered_pair(apply(X5,X1),apply(X5,X1))),X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X3)))).
% 8.22/2.39 cnf(i_0_1590, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1601, plain, (unordered_pair(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|esk285_3(X1,X2,X3)!=esk284_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1558, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2014, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1998, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1593, plain, (esk271_2(X1,X2)=esk272_2(X1,X2)|element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.39 cnf(i_0_1240, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|unordered_pair(unordered_pair(esk209_1(X1),esk209_1(X1)),unordered_pair(esk209_1(X1),esk210_1(X1)))=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1435, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1532, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1216, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|unordered_pair(unordered_pair(esk211_1(X1),esk211_1(X1)),unordered_pair(esk211_1(X1),esk212_1(X1)))=esk208_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_967, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|element(esk169_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1592, plain, (esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk271_2(X1,X2)=esk272_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.39 cnf(i_0_1134, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X3),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|in(esk196_4(X1,X2,X4,X5),cartesian_product2(X1,X4))|~relation(X2)|~in(X5,esk195_3(X1,X2,X4))|~in(X3,esk191_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1080, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X3),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|in(esk196_4(X1,X2,X4,X5),cartesian_product2(X1,X4))|~relation(X2)|~in(X5,esk195_3(X1,X2,X4))|~in(X3,esk194_2(X1,X2)))).
% 8.22/2.39 cnf(i_0_1173, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1119, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(eskX1,X2))|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.39 cnf(i_0_1497, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|esk253_2(X1,X2)=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_946, lemma, (element(esk169_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|esk166_2(X1,X2)!=esk167_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1995, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk363_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1421, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk248_2(X1,X2)|esk252_4(X1,X2,X3,X4)=X4|in(X3,esk250_2(X1,X2))|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1801, lemma, (in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X3,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.39 cnf(i_0_2227, lemma, (in(unordered_pair(unordered_pair(X1,esk389_4(X2,X3,X4,X1)),unordered_pair(esk389_4(X2,X3,X4,X1),esk389_4(X2,X3,X4,X1))),X4)|relation_rng_as_subset(X2,X3,X4)!=X3|~relation_of2_as_subset(X4,X2,X3)|~in(X1,X3))).
% 8.22/2.39 cnf(i_0_1465, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|esk253_2(X1,X2)=esk255_2(X1,X2)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1594, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|esk271_2(X1,X2)=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_126, plain, (X1=relation_image(X2,X3)|in(unordered_pair(unordered_pair(esk15_3(X2,X3,X1),esk16_3(X2,X3,X1)),unordered_pair(esk16_3(X2,X3,X1),esk16_3(X2,X3,X1))),X2)|in(esk15_3(X2,X3,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1411, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk249_2(X1,X2)|esk252_4(X1,X2,X3,X4)=X4|in(X3,esk250_2(X1,X2))|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1474, plain, (subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2007, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1562, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|esk271_2(X1,X2)=esk273_2(X1,X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1578, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_132, plain, (X1=relation_i198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1146, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1165, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_953, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|element(esk169_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_2070, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk369_3(X1,X2,X4)=esk368_2(X1,X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1560, plain, (esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk271_2(X1,X2)=esk273_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.39 cnf(i_0_1111, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1092, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1155, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1101, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1499, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|esk253_2(X1,X2)=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_2054, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk369_3(X1,X2,X4)=esk368_2(X1,X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1576, plain, (esk282_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)),esk278_3(X1,X2,X3))|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.39 cnf(i_0_1467, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|esk253_2(X1,X2)=esk255_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_860, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),nverse_image(X2,X3)|in(unordered_pair(unordered_pair(esk18_3(X2,X3,X1),esk18_3(X2,X3,X1)),unordered_pair(esk18_3(X2,X3,X1),esk19_3(X2,X3,X1))),X2)|in(esk18_3(X2,X3,X1),X1)|~relation(X2))).
% 8.22/2.39 cnf(i_0_1442, plain, (subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1982, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.39 cnf(i_0_1991, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|relation_dom(esk364_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk363_3(X1,X2,X3)=esk362_2(X1,X2)|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 8.22/2.39 cnf(i_0_1546, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1169, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|esk196_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_1519, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk266_2(X1,X2)|element(esk270_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk268_2(X1,X2))|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1509, plain, (subset_complement(the_carrier(X1),esk265_2(X1,X2))=esk267_2(X1,X2)|element(esk270_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk268_2(X1,X2))|~one_sorted_str(X1)|~element(esk265_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 8.22/2.39 cnf(i_0_1591, plain, (esk271_2(X1,X2)=esk272_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk278_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk282_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 8.22/2.39 cnf(i_0_1115, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|esk196_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.39 cnf(i_0_812, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|esk150_2(X3,X4)!=esk149_2(X3,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk155_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 8.22/2.39 cnf(i_0_958, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk168_2(X3,X4))|in(esk165_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk169_4(X3,X4,X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,X4))).
% 8.22/2.39 cnf(i_0_2038, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk369_3(X1,X2,X4)=esk368_2(X1,X2)|esk366_2(X1,X2)!=esk367_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_2082, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk365_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.39 cnf(i_0_1559, plain, (esk271_2(X1,X2)=esk273_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk278_3(X1,X2,X5))|subset_esk153_2(X3,X4))|in(esk149_2(X3,X4),esk151_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk155_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 8.22/2.40 cnf(i_0_828, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|in(esk150_2(X3,X4),esk152_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk155_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 8.22/2.40 cnf(i_0_1153, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk195_3(X3,X4,X5))|in(esk189_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk200_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))).
% 8.22/2.40 cnf(i_0_1596, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|esk271_2(X1,X2)=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_932, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|element(esk164_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_918, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|element(esk164_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1561, plain, (esk271_2(X1,X2)=esk273_2(X1,X2)|element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1564, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|esk271_2(X1,X2)=esk273_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1099, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk195_3(X3,X4,X5))|in(esk192_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk200_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))).
% 8.22/2.40 cnf(i_0_416, plain, (X1=relation_composition(X2,X3)|~relation(X1)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk95_3(X2,X3,X1),esk95_3(X2,X3,X1)),unordered_pair(esk95_3(X2,X3,X1),esk96_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk95_3(X2,X3,X1),X4),unordered_pair(esk95_3(X2,X3,X1),esk95_3(X2,X3,X1))),X2)|~in(unordered_pair(unordered_pair(X4,esk96_3(X2,X3,X1)),unordered_pair(X4,X4)),X3))).
% 8.22/2.40 cnf(i_0_861, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|in(esk149_2(X3,X4),esk151_2(X3,X4))|in(esk155_5(X3,X4,X1,X2,X1),X1)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 8.22/2.40 cnf(i_0_829, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|in(esk150_2(X3,X4),esk152_2(X3,X4))|in(esk155_5(X3,X4,X1,X2,X1),X1)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 8.22/2.40 cnf(i_0_2006, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk363_3(X1,X2,X4)=esk362_2(X1,X2)|~one_sorted_str(X1)complement(the_carrier(X1),esk282_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 8.22/2.40 cnf(i_0_1422, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk248_2(X1,X2)|element(esk252_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk250_2(X1,X2))|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_2110, lemma, (X1=esk375_2(X2,X3)|X4=esk372_2(X5,X6)|X3=empty_set|X6=empty_set|~subset(esk372_2(X5,X6),X4)|~subset(esk375_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X6,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk371_0)|~in(X2,omega)|~in(X4,X6)|~in(X1,X3))).
% 8.22/2.40 cnf(i_0_426, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~is_transitive_in(X3,X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),X3)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X3)|~in(X2,X4)|~in(X5,X4)|~in(X1,X4))).
% 8.22/2.40 cnf(i_0_924, lemma, (esk164_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|in(esk160_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1412, plain, (subset_complement(the_carrier(X1),esk247_2(X1,X2))=esk249_2(X1,X2)|element(esk252_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk250_2(X1,X2))|~one_sorted_str(X1)|~element(esk247_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_911, lemma, (element(esk164_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|esk161_2(X1,X2)!=esk162_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1774, lemma, (element(esk337_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk334_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1574, plain, (subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1004, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk176_3(X3,X4,X5))|~relation(X4)|~relation(X5)|~function(X5)|~in(unordered_pair(unordered_pair(apply(X5,X1),apply(X5,X2)),unordered_pair(apply(X5,X1),apply(X5,X1))),X4)|~in(X2,X3)|~in(X1,X3))).
% 8.22/2.40 cnf(i_0_384, 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))).
% 8.22/2.40 cnf(i_0_996, lemma, (X1=esk175_2(X2,X3)|X4=esk172_2(X5,X6)|X3=empty_set|X6=empty_set|~epred1_0|~subset(esk172_2(X5,X6),X4)|~subset(esk175_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X6,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk171_0)|~in(X2,omega)|~in(X4,X6)|~in(X1,X3))).
% 8.22/2.40 cnf(i_0_846, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk148_2(X1,X4),X1)|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk153_2(X1,X4))|~in(X3,esk154_4(X1,X4,X5,X2)))).
% 8.22/2.40 cnf(i_0_1542, plain, (subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))||~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1432, plain, (element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1141, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1087, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1990, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk363_3(X1,X2,X4)=esk362_2(X1,X2)|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1580, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1544, plain, (esk282_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)),esk278_3(X1,X2,X3))|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1548, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1627, plain, (unordered_pair(unordered_pair(esk286_3(X1,X2,X3),esk286_3(X1,X2,X3)),unordered_pair(esk286_3(X1,X2,X3),esk287_3(X1,X2,X3)))=esk284_3(X1,X2,X3)|esk291_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1493, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1461, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1145, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|in(esk200_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)),esk195_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1612, plain, (unordered_pair(unordered_pair(esk288_3(X1,X2,X3),esk288_3(X1,X2,X3)),unordered_pair(esk288_3(X1,X2,X3),esk289_3(X1,X2,X3)))=esk285_3(X1,X2,X3)|esk291_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1631, plain, (unordered_pa~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1974, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk363_3(X1,X2,X4)=esk362_2(X1,X2)|esk360_2(X1,X2)!=esk361_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1528, plain, (esk282_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)),esk278_3(X1,X2,X3))|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1265, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|element(esk224_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk220_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 8.22/2.40 cnf(i_0_813, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|in(esk155_5(X3,X4,X1,X2,X1),X1)|esk150_2(X3,X4)!=esk149_2(X3,X4)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 8.22/2.40 cnf(i_0_1734, lemma, (unordered_pair(unordered_pair(esk313_4(X1,X2,X3,X4),esk313_4(X1,X2,X3,X4)),unordered_pair(esk313_4(X1,X2,X3,X4),esk314_4(X1,X2,X3,X4)))=X4|empty(X1)|~relation(X2)|~in(X4,esk312_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1481, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1449, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_2086, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk369_3(X1,X2,X4)=esk368_2(X1,X2)|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_1903, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1849, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_960, lemma, (element(esk169_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|in(esk165_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_2090, lemma, (apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk369_3(X1,X2,X4),powerset(the_carrier(X1)))|in(esk365_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_1767, lemma, (element(esk333_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk330_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1477, plain, (subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_ir(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|esk283_3(X1,X2,X3)=esk284_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1483, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1451, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1091, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|in(esk200_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)),esk195_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1237, plain, (unordered_pair(unordered_pair(esk209_1(X1),esk209_1(X1)),unordered_pair(esk209_1(X1),esk210_1(X1)))=esk207_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk213_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 8.22/2.40 cnf(i_0_1616, plain, (unordered_pair(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|esk283_3(X1,X2,X3)=esk285_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1137, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1083, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1213, plain, (unordered_pair(unordered_pair(esk211_1(X1),esk211_1(X1)),unordered_pair(esk211_1(X1),esk212_1(X1)))=esk208_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk213_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 8.22/2.40 cnf(i_0_418, plain, (in(unordered_pair(unordered_pair(X1,esk94_5(X2,X3,relation_composition(X2,X3),X4,X1)),unordered_pair(esk94_5(X2,X3,relation_composition(X2,X3),X4,X1),esk94_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)))).
% 8.22/2.40 cnf(i_0_1129, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X3),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|in(esk198_4(X1,X2,X4,X5),esk199_4(X1,X2,X4,X5))|~relation(X2)|~in(X5,esk195_3(X1,X2,X4))|~in(X3,esk191_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_855, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|in(X4,esk154_4(X1,X2,X5,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),esk153_2(X1,X2))|~in(X3,esk151_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_823, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|in(X4,esk154_4(X1,X2,X5,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),esk153_2(X1,X2))|~in(X3,esk152_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1075, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X3),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|in(esk198_4(X1,X2,X4,X5),carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1921, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_394, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation_isomorphism(X3,X4,X5)|~relation(X4)|~relation(X5)|~relation(X3)|~function(X5)|~in(unordered_pair(unordered_pair(apply(X5,X1),apply(X5,X2)),unordered_pair(apply(X5,X1),apply(X5,X1))),X4)|~in(X2,relation_field(X3))|~in(X1,relation_field(X3)))).
% 8.22/2.40 cnf(i_0_1445, plain, (subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_2030, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk359_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))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1430, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk260_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk264_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|esk255_2(X3,X4)!=esk254_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5)))).
% 8.22/2.40 cnf(i_0_1005, lemma, (in(unordered_pair(unordered_pair(apply(X1,X2),apply(X1,X3)),unordered_pair(apply(X1,X2),apply(X1,X2))),X4)|~relation(X4)|~relation(X1)|~function(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk176_3(X5,X4,X1)))).
% 8.22/2.40 cnf(i_0_1492, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|esk261_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_2018, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk363_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_933, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1)))|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk163_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1909, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|~relation(X2)|~in(X3,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_1460, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|esk261_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1262, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|subset(X2,esk225_4(X1,X3,X3,X2))|in(X3,esk220_1(X1))|~ordinal(X3)|~ordinal(X1)|~in(X3,set_union2(X1,unordered_pair(X1,X1)))|~in(X2,esk224_3(X1,X3,X3)))).
% 8.22/2.40 cnf(i_0_1589, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|esk279_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_919, lemma, (subset_complemeesk199_4(X1,X2,X4,X5))|~relation(X2)|~in(X5,esk195_3(X1,X2,X4))|~in(X3,esk194_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1914, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1806, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk350_2(X1,X2),X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1496, plain, (esk253_2(X1,X2)=esk254_2(X1,X2)|element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1860, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1039, plain, (in(unordered_pair(unordered_pair(esk178_2(X1,X2),X3),unordered_pair(esk178_2(X1,X2),esk178_2(X1,X2))),X2)|in(X4,esk182_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk185_5(X1,X2,X4,X5,X5))),X2)|~in(X3,esk180_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 8.22/2.40 cnf(i_0_1932, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk350_2(X1,X2),X1)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1567, plain, (subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk278_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk282_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 8.22/2.40 cnf(i_0_1535, plain, (subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk278_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk282_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 8.22/2.40 cnf(i_0_1478, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk260_3(X3,X4,X5))|in(esk256_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk264_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5)))).
% 8.22/2.40 cnf(i_0_1464, plain, (esk253_2(X1,X2)=esk255_2(X1,X2)|element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1879, lemma, (in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|in(esk350_2(X1,X2),X1)|nt(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1)))|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk163_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_968, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1)))|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk168_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1855, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|~relation(X2)|~in(X3,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_1557, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|esk279_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1390, plain, (set_difference(esk242_2(X1,X2),unordered_pair(X1,X1))=esk240_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk244_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_1375, plain, (set_difference(esk243_2(X1,X2),unordered_pair(X1,X1))=esk241_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk244_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_87, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|in(esk3_3(X2,X3,X1),X3)|~relation(X1)|~relation(X2))).
% 8.22/2.40 cnf(i_0_954, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X4,powerset(the_carrier(X1)))|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk168_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_2026, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk363_3(X1,X2,X4),powerset(the_carrier(X1)))|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1927, lemma, (in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X3,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_101, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X1)|in(esk9_3(X2,X3,X1),X2)|~relation(X1)|~relation(X3))).
% 8.22/2.40 cnf(i_0_868, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk155_5(X1,X2,X3,X4,X3))),X2)|~in(X3,X1)|~in(X4,X3))).
% 8.22/2.40 cnf(i_0_836, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk155_5(X1,X2,X3,X4,X3))),X2)|~in(X3,X1)|~in(X4,X3))).
% 8.22/2.40 cnf(i_0_1167, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_923, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk163_2(X3,X4))|in(esk160_2(X3,X4),c~relation(X2)|~in(X3,esk348_2(X1,X2))|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_1015, plain, (in(unordered_pair(unordered_pair(esk179_2(X1,X2),X3),unordered_pair(esk179_2(X1,X2),esk179_2(X1,X2))),X2)|in(X4,esk182_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk185_5(X1,X2,X4,X5,X5))),X2)|~in(X3,esk181_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 8.22/2.40 cnf(i_0_1135, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk195_3(X3,X4,X5))|in(esk190_2(X3,X4),esk191_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk200_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))).
% 8.22/2.40 cnf(i_0_1081, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk195_3(X3,X4,X5))|in(esk193_2(X3,X4),esk194_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk200_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))).
% 8.22/2.40 cnf(i_0_1825, lemma, (in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk349_2(X1,X2))|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_1446, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk260_3(X3,X4,X5))|in(esk258_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk264_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5)))).
% 8.22/2.40 cnf(i_0_1495, plain, (esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk253_2(X1,X2)=esk254_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1463, plain, (esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk253_2(X1,X2)=esk255_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1870, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1577, plain, (element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_241, plain, (X1=X2|in(unordered_pair(unordered_pair(esk47_2(X1,X2),esk47_2(X1,X2)),unordered_pair(esk47_2(X1,X2),esk48_2(X1,X2))),X1)|in(unordered_pair(unordered_pair(esk47_2(X1,X2),esk47_2(X1,X2)),unordered_pair(esk47_2(X1,X2),esk48_2(X1,X2))),X2)|~relation(X2)|~relation(X1))).
% 8.22/2.40 cnf(i_0_1040, plain, (in(unordered_pair(unordered_pair(esk178_2(X1,X2),X3),unordered_pair(esk178_2(X1,X2),esk178_2(X1,X2))),X2)|in(esk185_5(X1,X2,X4,X5,X5),X5)|in(X4,esk182_2(X1,X2))|~relation(X2)|~in(X3,esk180_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 8.22/2.40 cnf(i_0_1016, plain, (in(unordered_paomplements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk164_4(X3,X4,X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,complements_of_subsets(the_carrier(X3),X4)))).
% 8.22/2.40 cnf(i_0_925, lemma, (element(esk164_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|in(esk160_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1063, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk195_3(X3,X4,X5))|esk188_2(X3,X4)!=esk187_2(X3,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk200_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))).
% 8.22/2.40 cnf(i_0_1113, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|empty(X1)|in(esk197_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1042, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk178_2(X1,X2),X3),unordered_pair(esk178_2(X1,X2),esk178_2(X1,X2))),X2)|in(X4,esk184_3(X1,X2,X4))|~relation(X2)|~in(X3,esk180_2(X1,X2))|~in(X4,esk182_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1018, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk179_2(X1,X2),X3),unordered_pair(esk179_2(X1,X2),esk179_2(X1,X2))),X2)|in(X4,esk184_3(X1,X2,X4))|~relation(X2)|~in(X3,esk181_2(X1,X2))|~in(X4,esk182_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1044, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk178_2(X1,X2),X3),unordered_pair(esk178_2(X1,X2),esk178_2(X1,X2))),X2)|in(esk183_3(X1,X2,X4),X1)|~relation(X2)|~in(X3,esk180_2(X1,X2))|~in(X4,esk182_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1020, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk179_2(X1,X2),X3),unordered_pair(esk179_2(X1,X2),esk179_2(X1,X2))),X2)|in(esk183_3(X1,X2,X4),X1)|~relation(X2)|~in(X3,esk181_2(X1,X2))|~in(X4,esk182_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1133, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X5),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3))|~in(X5,esk191_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_2022, lemma, (apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk363_3(X1,X2,X4)=esk362_2(X1,X2)|in(esk359_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1473, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1575, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk278_3(X3,X4,X5))|in(esk274_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk282_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5)))).
% 8.22/2.40 cnf(i_0_1079, plain, (esk196_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X5),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3))|~in(X5,esk194_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1885, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1831, lemma, (in(apply(esk352_2(X1,X2),X3),esk353_3(X1,X2,X3))|in(esk347_2(X1,X2),esk349_2(X1,X2))|ir(unordered_pair(esk179_2(X1,X2),X3),unordered_pair(esk179_2(X1,X2),esk179_2(X1,X2))),X2)|in(esk185_5(X1,X2,X4,X5,X5),X5)|in(X4,esk182_2(X1,X2))|~relation(X2)|~in(X3,esk181_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 8.22/2.40 cnf(i_0_1896, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk346_2(X1,X2),esk348_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1816, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1871, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1817, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1545, plain, (element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1842, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk347_2(X1,X2),esk349_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1629, plain, (esk283_3(X1,X2,X3)=esk284_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk290_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,X4),apply(X3,X5)),unordered_pair(apply(X3,X4),apply(X3,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X1)))).
% 8.22/2.40 cnf(i_0_1614, plain, (esk283_3(X1,X2,X3)=esk285_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk290_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,X4),apply(X3,X5)),unordered_pair(apply(X3,X4),apply(X3,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X1)))).
% 8.22/2.40 cnf(i_0_386, plain, (X1=relation_inverse(X2)|in(unordered_pair(unordered_pair(esk86_2(X2,X1),esk87_2(X2,X1)),unordered_pair(esk87_2(X2,X1),esk87_2(X2,X1))),X2)|in(unordered_pair(unordered_pair(esk86_2(X2,X1),esk86_2(X2,X1)),unordered_pair(esk86_2(X2,X1),esk87_2(X2,X1))),X1)|~relation(X1)|~relation(X2))).
% 8.22/2.40 cnf(i_0_1172, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|in(esk200_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)),esk195_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1876, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1041, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk178_2(X1,X2),X3),unordered_pair(esk178_2(X1,X2),esk178_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(X5,esk1~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X4,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_869, lemma, (esk151_2(X1,X2)=esk148_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2))|in(esk155_5(X1,X2,X3,X4,X3),X3)|~relation(X2)|~in(X4,X3)|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1441, plain, (subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1543, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk278_3(X3,X4,X5))|in(esk276_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk282_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X4,X5)))).
% 8.22/2.40 cnf(i_0_837, lemma, (esk152_2(X1,X2)=esk148_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2))|in(esk155_5(X1,X2,X3,X4,X3),X3)|~relation(X2)|~in(X4,X3)|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1730, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk314_4(X1,X2,X3,X4),X5),unordered_pair(esk314_4(X1,X2,X3,X4),esk314_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk315_4(X1,X2,X3,X4))|~in(X4,esk312_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_857, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|in(X4,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk153_2(X1,X2))|~in(X3,esk151_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_825, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|in(X4,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk153_2(X1,X2))|~in(X3,esk152_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1043, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk178_2(X1,X2),X4),unordered_pair(esk178_2(X1,X2),esk178_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk180_2(X1,X2))|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1570, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1538, plain, (subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_966, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|esk169_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_1019, plain, (esk183_3(X1,X2,X3)=esk184_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk179_2(X1,X2),X4),unordered_pair(esk179_2(X1,X2),esk179_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk181_2(X1,X2))|~in(X3,esk182_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_395, plain, (in(unordered_pair(unordered_pair(apply(X1,X2),apply(X1,X3)),unordered_pair(apply(X1,X2),apply(X1,X2))),X4)|~relation_isomorphism(X5,X4,X1)|~relation(X5)|~relation(X4)|~relation(X1)|~function(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X5))).
% 8.22/2.40 cnf(i_0_88, plain, (X1=relation_dom_restriction(X2,X3)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk3_3(X84_3(X1,X2,X4))|~in(X3,esk180_2(X1,X2))|~in(X4,esk182_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1017, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk179_2(X1,X2),X3),unordered_pair(esk179_2(X1,X2),esk179_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(X5,esk184_3(X1,X2,X4))|~in(X3,esk181_2(X1,X2))|~in(X4,esk182_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1118, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|in(esk200_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)),esk195_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1822, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1489, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1457, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1586, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1154, plain, (in(esk200_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)),esk195_3(X1,X2,X3))|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1877, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1868, lemma, (esk353_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X4),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk348_2(X1,X2))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1814, lemma, (esk353_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X4),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk349_2(X1,X2))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1823, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1554, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1869, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1815, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1100, plain, (in(esk200_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)),esk195_3(X1,X2,X3))|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1628, plain, (unordered_pair(unordered_pair(esk286_3(X1,X2,X3),esk286_3(X1,X2,X3)),unordered_pair(esk286_3(X1,X2,X3),esk287_3(X1,X2,X3)))=esk284_3(X1,X2,X3)|in(esk291_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1613, plain, (unordered_pair(unordered_pair(esk288_3(X1,X2,X3),esk288_3(X1,X2,X3)),unordered_pair(esk288_3(X1,X2,X3),esk289_3(X1,X2,X3)))=esk285_3(X1,X2,X3)|in(esk291_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1470, plain, (subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk260_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk264_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 8.22/2.40 cnf(i_0_392, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk88_3(X1,X2,X3),esk88_3(X1,X2,X3)),unordered_pair(esk88_3(X1,X2,X3),esk89_3(X1,X2,X3))),X1)|in(esk88_3(X1,X2,X3),relation_field(X1))|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X3))).
% 8.22/2.40 cnf(i_0_1875, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1438, plain, (subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk260_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk264_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 8.22/2.40 cnf(i_0_1479, plain, (esk264_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)),esk260_3(X1,X2,X3))|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1821, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X2)|~in(esk3_3(X2,X3,X1),X3))).
% 8.22/2.40 cnf(i_0_1770, lemma, (unordered_pair(unordered_pair(esk331_4(X1,X2,X3,X4),esk331_4(X1,X2,X3,X4)),unordered_pair(esk331_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_952, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|esk169_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_1891, lemma, (in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_1777, lemma, (unordered_pair(unordered_pair(esk335_4(X1,X2,X3,X4),esk335_4(X1,X2,X3,X4)),unordered_pair(esk335_4(X1,X2,X3,X4),esk336_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk334_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_2066, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_102, plain, (X1=relation_rng_restriction(X2,X3)|~relation(X1)|~relation(X3)|~in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X3)|~in(esk9_3(X2,X3,X1),X2))).
% 8.22/2.40 cnf(i_0_1880, lemma, (esk353_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X4),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk348_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_2050, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk369_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_931, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|esk164_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1837, lemma, (in(esk351_4(X1,X2,X3,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(X3,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_1826, lemma, (esk353_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X4),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk349_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1781, lemma, (unordered_pair(unordered_pair(esk339_4(X1,X2,X3,X4),esk339_4(X1,X2,X3,X4)),unordered_pair(esk339_4(X1,X2,X3,X4),esk340_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk338_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_862, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk149_2(X1,X4),esk151_2(X1,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk153_2(X1,X4))|~in(X3,esk154_4(X1,X4,X5,X2)))).
% 8.22/2.40 cnf(i_0_830, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk150_2(X1,X4),esk152_2(X1,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk153_2(350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_391, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk88_3(X1,X2,X3),esk88_3(X1,X2,X3)),unordered_pair(esk88_3(X1,X2,X3),esk89_3(X1,X2,X3))),X1)|in(esk89_3(X1,X2,X3),relation_field(X1))|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X3))).
% 8.22/2.40 cnf(i_0_1874, lemma, (esk353_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X4),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk348_2(X1,X2))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1820, lemma, (esk353_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X4),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk349_2(X1,X2))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1780, lemma, (in(unordered_pair(unordered_pair(apply(X1,esk339_4(X2,X3,X1,X4)),apply(X1,esk339_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk339_4(X2,X3,X1,X4)),apply(X1,esk340_4(X2,X3,X1,X4)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk338_3(X2,X3,X1)))).
% 8.22/2.40 cnf(i_0_1622, plain, (esk291_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk286_3(X1,X2,X3)),apply(X3,esk286_3(X1,X2,X3))),unordered_pair(apply(X3,esk286_3(X1,X2,X3)),apply(X3,esk287_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1447, plain, (esk264_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)),esk260_3(X1,X2,X3))|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1607, plain, (esk291_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk288_3(X1,X2,X3)),apply(X3,esk288_3(X1,X2,X3))),unordered_pair(apply(X3,esk288_3(X1,X2,X3)),apply(X3,esk289_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1136, plain, (in(esk200_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)),esk195_3(X1,X2,X3))|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1082, plain, (in(esk200_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)),esk195_3(X1,X2,X3))|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1794, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1475, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1569, plain, (subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X1,X4))|~in(X3,esk154_4(X1,X4,X5,X2)))).
% 8.22/2.40 cnf(i_0_1166, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_917, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|esk164_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_2002, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk363_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1529, plain, (element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1112, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1587, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|in(esk280_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1986, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk363_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_2078, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_1494, plain, (esk253_2(X1,X2)=esk254_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk260_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk264_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 8.22/2.40 cnf(i_0_1555, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|in(esk280_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1131, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X3),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|in(esk197_4(X1,X2,X4,X5),X1)|~relation(X2)|~in(X5,esk195_3(X1,X2,X4))|~in(X3,esk191_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1077, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X3),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|in(esk197_4(X1,X2,X4,X5),X1)|~relation(X2)|~in(X5,esk195_3(X1,X2,X4))|~in(X3,esk194_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1170, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),eskX2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1537, plain, (subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1480, plain, (element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1448, plain, (element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_854, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_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)),esk153_2(X1,X2))|~in(X5,esk154_4(X1,X2,X6,X4))|~in(X3,esk151_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_822, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_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)),esk153_2(X1,X2))|~in(X5,esk154_4(X1,X2,X6,X4))|~in(X3,esk152_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1443, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1572, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1540, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1568, plain, (esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1600, plain, (in(unordered_pair(unordered_pair(apply(X1,esk292_4(X2,X3,X1,X4)),apply(X1,esk292_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk29190_2(X1,X2)))=esk187_2(X1,X2)|empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_2062, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk368_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_2074, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk369_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_1462, plain, (esk253_2(X1,X2)=esk255_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk260_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk264_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 8.22/2.40 cnf(i_0_1116, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|empty(X1)|in(esk196_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_844, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|in(esk148_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk155_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 8.22/2.40 cnf(i_0_845, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|in(esk155_5(X3,X4,X1,X2,X1),X1)|in(esk148_2(X3,X4),X3)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 8.22/2.40 cnf(i_0_2058, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk369_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_1431, plain, (esk264_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)),esk260_3(X1,X2,X3))|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1177, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|esk186_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_965, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|subset_complement(the_carrier(X1),esk169_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_1064, plain, (in(esk200_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)),esk195_3(X1,X2,X3))|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1123, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|esk186_2(X1,X2)=esk188_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1065, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|e2_4(X2,X3,X1,X4)),apply(X1,esk293_4(X2,X3,X1,X4)))),X3)|esk285_3(X2,X3,X1)!=esk284_3(X2,X3,X1)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk290_3(X2,X3,X1)))).
% 8.22/2.40 cnf(i_0_1902, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1472, plain, (subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1440, plain, (subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1536, plain, (esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1471, plain, (esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1439, plain, (esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1848, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1920, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1630, plain, (esk283_3(X1,X2,X3)=esk284_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk292_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk293_4(X1,X2,X3,sk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_856, lemma, (esk154_4(X1,X2,X3,X4)=X3|empty(X1)|in(unordered_pair(unordered_pair(esk149_2(X1,X2),X5),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2))|~in(X5,esk151_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_824, lemma, (esk154_4(X1,X2,X3,X4)=X3|empty(X1)|in(unordered_pair(unordered_pair(esk150_2(X1,X2),X5),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk153_2(X1,X2))|~in(X5,esk152_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1150, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|esk189_2(X1,X2)=esk191_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_951, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|subset_complement(the_carrier(X1),esk169_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_2010, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk363_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1171, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk195_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk200_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))).
% 8.22/2.40 cnf(i_0_1096, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|esk192_2(X1,X2)=esk194_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1130, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X5),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3))|~in(X5,esk191_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1076, plain, (esk199_4(X1,X2,X3,X4)=esk197_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X5),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3))|~in(X5,esk194_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1117, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk195_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk200_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))).
% 8.22/2.40 cnf(i_0_1144, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk195_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk200_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))).
% 8.22/2.40 cnf(i_0_1069, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|esk188_2(X1,X2)!=esk187_2(X1,X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1994, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk363_X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1800, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1583, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk278_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk282_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 8.22/2.40 cnf(i_0_1615, plain, (esk283_3(X1,X2,X3)=esk285_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk292_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk293_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_393, plain, (relation_isomorphism(X1,X2,X3)|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,esk88_3(X1,X2,X3)),apply(X3,esk88_3(X1,X2,X3))),unordered_pair(apply(X3,esk88_3(X1,X2,X3)),apply(X3,esk89_3(X1,X2,X3)))),X2)|~in(unordered_pair(unordered_pair(esk88_3(X1,X2,X3),esk88_3(X1,X2,X3)),unordered_pair(esk88_3(X1,X2,X3),esk89_3(X1,X2,X3))),X1)|~in(esk88_3(X1,X2,X3),relation_field(X1))|~in(esk89_3(X1,X2,X3),relation_field(X1)))).
% 8.22/2.40 cnf(i_0_1867, lemma, (in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X3,esk348_2(X1,X2))|~in(X5,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_853, lemma, (in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk153_2(X1,X2))|in(esk155_5(X1,X2,X4,X5,X4),X4)|~relation(X2)|~in(X3,esk151_2(X1,X2))|~in(X5,X4)|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_1813, lemma, (in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X3,esk349_2(X1,X2))|~in(X5,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_1908, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_821, lemma, (in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk153_2(X1,X2))|in(esk155_5(X1,X2,X4,X5,X4),X4)|~relation(X2)|~in(X3,esk152_2(X1,X2))|~in(X5,X4)|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_852, lemma, (in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk153_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk155_5(X1,X2,X4,X5,X4))),X2)|~in(X3,esk151_2(X1,X2))|~in(X4,X1)|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1623, plain, (in(unordered_pair(unordered_pair(apply(X1,esk286_3(X2,X3,X1)),apply(X1,esk286_3(X2,X3,X1))),unordered_pair(apply(X1,esk286_3(X2,X3,X1)),apply(X1,esk287_3(X2,X3,X1)))),X3)|in(esk291_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~relation(X1)|~relation(X3)|~func3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_930, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|subset_complement(the_carrier(X1),esk164_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1090, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk195_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk200_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))).
% 8.22/2.40 cnf(i_0_1159, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1263, plain, (epred2_3(esk219_1(X1),esk218_1(X1),esk217_1(X1))|in(esk225_4(X1,X2,X2,X3),esk224_3(X1,X2,X2))|in(X2,esk220_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk224_3(X1,X2,X2)))).
% 8.22/2.40 cnf(i_0_1105, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_916, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|subset_complement(the_carrier(X1),esk164_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1490, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1458, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|in(esk262_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1599, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk290_3(X3,X4,X5))|esk285_3(X3,X4,X5)!=esk284_3(X3,X4,X5)|~relation(X4)|~relation(X5)|~function(X5)|~in(unordered_pair(unordered_pair(apply(X5,X1),apply(X5,X2)),unordered_pair(apply(X5,X1),apply(X5,X1))),X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X3)))).
% 8.22/2.40 cnf(i_0_1590, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1601, plain, (unordered_pair(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|esk285_3(X1,X2,X3)!=esk284_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1558, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|in(esk279_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_2014, ltion(X1)|~in(X4,esk290_3(X2,X3,X1)))).
% 8.22/2.40 cnf(i_0_820, lemma, (in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk153_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk155_5(X1,X2,X4,X5,X4))),X2)|~in(X3,esk152_2(X1,X2))|~in(X4,X1)|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1551, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk278_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk282_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 8.22/2.40 cnf(i_0_1608, plain, (in(unordered_pair(unordered_pair(apply(X1,esk288_3(X2,X3,X1)),apply(X1,esk288_3(X2,X3,X1))),unordered_pair(apply(X1,esk288_3(X2,X3,X1)),apply(X1,esk289_3(X2,X3,X1)))),X3)|in(esk291_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~relation(X1)|~relation(X3)|~function(X1)|~in(X4,esk290_3(X2,X3,X1)))).
% 8.22/2.40 cnf(i_0_1884, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1830, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1854, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1926, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1873, lemma, (in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X5),esk353_3(X1,X2,X5))|~relation(X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2))|~in(X5,X1))).
% 8.22/2.40 cnf(i_0_1819, lemma, (in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X5),esk353_3(X1,X2,X5))|~relation(X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk350_2(X1,X2))|~in(X5,X1))).
% 8.22/2.40 cnf(i_0_1168, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1114, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1890, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk351_4(X1,emma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1998, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk362_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1593, plain, (esk271_2(X1,X2)=esk272_2(X1,X2)|element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1240, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|unordered_pair(unordered_pair(esk209_1(X1),esk209_1(X1)),unordered_pair(esk209_1(X1),esk210_1(X1)))=esk207_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1435, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1532, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|esk273_2(X1,X2)!=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1216, plain, (unordered_pair(unordered_pair(esk215_3(X1,X2,X3),esk215_3(X1,X2,X3)),unordered_pair(esk215_3(X1,X2,X3),esk216_3(X1,X2,X3)))=X3|unordered_pair(unordered_pair(esk211_1(X1),esk211_1(X1)),unordered_pair(esk211_1(X1),esk212_1(X1)))=esk208_1(X1)|~in(X3,esk213_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_967, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk166_2(X1,X2)|element(esk169_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_1592, plain, (esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk271_2(X1,X2)=esk272_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1134, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X3),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|in(esk196_4(X1,X2,X4,X5),cartesian_product2(X1,X4))|~relation(X2)|~in(X5,esk195_3(X1,X2,X4))|~in(X3,esk191_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1080, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X3),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|in(esk196_4(X1,X2,X4,X5),cartesian_product2(X1,X4))|~relation(X2)|~in(X5,esk195_3(X1,X2,X4))|~in(X3,esk194_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1173, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1119, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(eskX2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1836, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1584, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|esk282_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)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_86, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X2))).
% 8.22/2.40 cnf(i_0_1126, plain, (in(unordered_pair(unordered_pair(esk190_2(X1,X2),X3),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk195_3(X1,X2,X6))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk200_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,esk191_2(X1,X2))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1072, plain, (in(unordered_pair(unordered_pair(esk193_2(X1,X2),X3),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk195_3(X1,X2,X6))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk200_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,esk194_2(X1,X2))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1162, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk195_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk200_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))).
% 8.22/2.40 cnf(i_0_1108, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk195_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk200_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))).
% 8.22/2.40 cnf(i_0_100, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3))).
% 8.22/2.40 cnf(i_0_1486, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk260_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk264_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1146, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1165, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_953, lemma, (subset_complement(the_carrier(X1),esk165_2(X1,X2))=esk167_2(X1,X2)|element(esk169_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk168_2(X1,X2))|~one_sorted_str(X1)|~element(esk165_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_2070, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk366_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk369_3(X1,X2,X4)=esk368_2(X1,X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_1560, plain, (esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk271_2(X1,X2)=esk273_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1111, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|empty(X1)|in(esk198_4(X1,X2,X3,X4),esk199_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1092, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1155, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1101, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1499, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|esk253_2(X1,X2)=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_2054, lemma, (subset_complement(the_carrier(X1),esk365_2(X1,X2))=esk367_2(X1,X2)|apply(esk370_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk369_3(X1,X2,X4)=esk368_2(X1,X2)|~one_sorted_str(X1)|~element(esk365_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 8.22/2.40 cnf(i_0_1576, plain, (esk282_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)),esk278_3(X1,X2,X3))|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1467, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|esk253_2(X1,X2)=esk255_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_860, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 8.22/2.40 cnf(i_0_1454, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk260_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk264_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 8.22/2.40 cnf(i_0_1552, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|esk282_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)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1491, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1459, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1588, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1556, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1132, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X5),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3))|~in(X5,esk191_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1078, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X5),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3))|~in(X5,esk194_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1585, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_415, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk95_3(X2,X3,X1),esk95_3(X2,X3,X1)),unordered_pair(esk95_3(X2,X3,X1),esk97_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk95_3(X2,X3,X1),esk95_3(X2,X3,X1)),unordered_pair(esk95_3(X2,X3,X1),esk96_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 8.22/2.40 cnf(i_0_1128, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X6),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3))|~in(X6,esk191_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1074, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X6),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3))|~in(X6,esk194_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1164, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1110, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_414, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk96_3(X2,X3,X1),esk97_3(X2,X3,X1)),unordered_pair(esk97_3(X2,X3,X1),esk97_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk95_3(X2,X3,X1),esk95_3(X2,X3,X1)),unordered_pair(esk95_3(X2,X3,X1),esk96_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 8.22/2.40 cnf(i_0_1553, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1487, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|esk264_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)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1455, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|esk264_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)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1878, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X5),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk348_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1488, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|element(esk264_6(X1,X2,X3,unordered_pair(unordered_pesk153_2(X3,X4))|in(esk149_2(X3,X4),esk151_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk155_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 8.22/2.40 cnf(i_0_828, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|in(esk150_2(X3,X4),esk152_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk155_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 8.22/2.40 cnf(i_0_1153, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk195_3(X3,X4,X5))|in(esk189_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk200_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))).
% 8.22/2.40 cnf(i_0_1596, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|esk271_2(X1,X2)=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_932, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk161_2(X1,X2)|element(esk164_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_918, lemma, (subset_complement(the_carrier(X1),esk160_2(X1,X2))=esk162_2(X1,X2)|element(esk164_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk163_2(X1,X2))|~one_sorted_str(X1)|~element(esk160_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1561, plain, (esk271_2(X1,X2)=esk273_2(X1,X2)|element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1564, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|esk271_2(X1,X2)=esk273_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1099, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk195_3(X3,X4,X5))|in(esk192_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk200_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))).
% 8.22/2.40 cnf(i_0_416, plain, (X1=relation_composition(X2,X3)|~relation(X1)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk95_3(X2,X3,X1),esk95_3(X2,X3,X1)),unordered_pair(esk95_3(X2,X3,X1),esk96_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk95_3(X2,X3,X1),X4),unordered_pair(esk95_3(X2,X3,X1),esk95_3(X2,X3,X1))),X2)|~in(unordered_pair(unordered_pair(X4,esk96_3(X2,X3,X1)),unordered_pair(X4,X4)),X3))).
% 8.22/2.40 cnf(i_0_861, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|in(esk149_2(X3,X4),esk151_2(X3,X4))|in(esk155_5(X3,X4,X1,X2,X1),X1)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 8.22/2.40 cnf(i_0_829, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_2(X3,X4))|in(esk150_2(X3,X4),esk152_2(X3,X4))|in(esk155_5(X3,X4,X1,X2,X1),X1)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 8.22/2.40 cnf(i_0_2006, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk360_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk363_3(X1,X2,X4)=esk362_2(X1,X2)|~one_sorted_str(X1)air(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1824, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X5),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk349_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1127, plain, (in(unordered_pair(unordered_pair(esk190_2(X1,X2),X3),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|in(esk200_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)),esk195_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),cartesian_product2(X1,X4))|~in(X3,esk191_2(X1,X2))|~in(X6,X5))).
% 8.22/2.40 cnf(i_0_1073, plain, (in(unordered_pair(unordered_pair(esk193_2(X1,X2),X3),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|in(esk200_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)),esk195_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),cartesian_product2(X1,X4))|~in(X3,esk194_2(X1,X2))|~in(X6,X5))).
% 8.22/2.40 cnf(i_0_1626, plain, (unordered_pair(unordered_pair(esk286_3(X1,X2,X3),esk286_3(X1,X2,X3)),unordered_pair(esk286_3(X1,X2,X3),esk287_3(X1,X2,X3)))=esk284_3(X1,X2,X3)|unordered_pair(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1456, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1163, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|in(esk200_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)),esk195_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1109, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|in(esk200_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)),esk195_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1611, plain, (unordered_pair(unordered_pair(esk288_3(X1,X2,X3),esk288_3(X1,X2,X3)),unordered_pair(esk288_3(X1,X2,X3),esk289_3(X1,X2,X3)))=esk285_3(X1,X2,X3)|unordered_pair(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1624, plain, (unordered_pair(unordered_pair(esk286_3(X1,X2,X3),esk286_3(X1,X2,X3)),unordered_pair(esk286_3(X1,X2,X3),esk287_3(X1,X2,X3)))=esk284_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk290_3(X1,X2,X3))|~relation(X2)|~relation(X3)||~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1432, plain, (element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|esk255_2(X1,X2)!=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1141, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1087, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1990, lemma, (subset_complement(the_carrier(X1),esk359_2(X1,X2))=esk361_2(X1,X2)|apply(esk364_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk363_3(X1,X2,X4)=esk362_2(X1,X2)|~one_sorted_str(X1)|~element(esk359_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 8.22/2.40 cnf(i_0_1580, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1544, plain, (esk282_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)),esk278_3(X1,X2,X3))|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1548, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1627, plain, (unordered_pair(unordered_pair(esk286_3(X1,X2,X3),esk286_3(X1,X2,X3)),unordered_pair(esk286_3(X1,X2,X3),esk287_3(X1,X2,X3)))=esk284_3(X1,X2,X3)|esk291_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1493, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1461, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|in(esk261_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1145, plain, (esk189_2(X1,X2)=esk191_2(X1,X2)|in(esk200_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)),esk195_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1612, plain, (unordered_pair(unordered_pair(esk288_3(X1,X2,X3),esk288_3(X1,X2,X3)),unordered_pair(esk288_3(X1,X2,X3),esk289_3(X1,X2,X3)))=esk285_3(X1,X2,X3)|esk291_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1631, plain, (unordered_pa~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,X4),apply(X3,X5)),unordered_pair(apply(X3,X4),apply(X3,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X1)))).
% 8.22/2.40 cnf(i_0_1625, plain, (unordered_pair(unordered_pair(esk286_3(X1,X2,X3),esk286_3(X1,X2,X3)),unordered_pair(esk286_3(X1,X2,X3),esk287_3(X1,X2,X3)))=esk284_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk292_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk293_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1610, plain, (unordered_pair(unordered_pair(esk288_3(X1,X2,X3),esk288_3(X1,X2,X3)),unordered_pair(esk288_3(X1,X2,X3),esk289_3(X1,X2,X3)))=esk285_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk292_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk293_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1866, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X5),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,esk351_4(X1,X2,X6,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk348_2(X1,X2))|~in(X6,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1621, plain, (unordered_pair(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|in(unordered_pair(unordered_pair(apply(X3,esk286_3(X1,X2,X3)),apply(X3,esk286_3(X1,X2,X3))),unordered_pair(apply(X3,esk286_3(X1,X2,X3)),apply(X3,esk287_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1609, plain, (unordered_pair(unordered_pair(esk288_3(X1,X2,X3),esk288_3(X1,X2,X3)),unordered_pair(esk288_3(X1,X2,X3),esk289_3(X1,X2,X3)))=esk285_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk290_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,X4),apply(X3,X5)),unordered_pair(apply(X3,X4),apply(X3,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X1)))).
% 8.22/2.40 cnf(i_0_1812, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X5),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,esk351_4(X1,X2,X6,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk349_2(X1,X2))|~in(X6,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1872, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X5),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk351_4(X1,X2,X6,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk348_2(X1,X2))|~in(X6,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1606, plain, (unordered_pair(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|in(unordered_pair(unordered_pair(apply(X3,esk288_3(X1,X2,X3)),apply(X3,esk288_3(X1,X2,X3))),unordered_pair(apply(X3,esk288_3(X1,X2,X3)),apply(X3,esk289_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1818, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X5),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk351_4(X1,X2,X6,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk349_2(X1,X2))|ir(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|esk283_3(X1,X2,X3)=esk284_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1483, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1451, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1091, plain, (esk192_2(X1,X2)=esk194_2(X1,X2)|in(esk200_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)),esk195_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1237, plain, (unordered_pair(unordered_pair(esk209_1(X1),esk209_1(X1)),unordered_pair(esk209_1(X1),esk210_1(X1)))=esk207_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk213_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 8.22/2.40 cnf(i_0_1616, plain, (unordered_pair(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|esk283_3(X1,X2,X3)=esk285_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1137, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1083, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1213, plain, (unordered_pair(unordered_pair(esk211_1(X1),esk211_1(X1)),unordered_pair(esk211_1(X1),esk212_1(X1)))=esk208_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk213_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 8.22/2.40 cnf(i_0_418, plain, (in(unordered_pair(unordered_pair(X1,esk94_5(X2,X3,relation_composition(X2,X3),X4,X1)),unordered_pair(esk94_5(X2,X3,relation_composition(X2,X3),X4,X1),esk94_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)))).
% 8.22/2.40 cnf(i_0_1129, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X3),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|in(esk198_4(X1,X2,X4,X5),esk199_4(X1,X2,X4,X5))|~relation(X2)|~in(X5,esk195_3(X1,X2,X4))|~in(X3,esk191_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_855, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|in(X4,esk154_4(X1,X2,X5,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),esk153_2(X1,X2))|~in(X3,esk151_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_823, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|in(X4,esk154_4(X1,X2,X5,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),esk153_2(X1,X2))|~in(X3,esk152_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1075, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X3),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|in(esk198_4(X1,X2,X4,X5),~in(X6,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_390, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk88_3(X1,X2,X3)),apply(X3,esk88_3(X1,X2,X3))),unordered_pair(apply(X3,esk88_3(X1,X2,X3)),apply(X3,esk89_3(X1,X2,X3)))),X2)|in(unordered_pair(unordered_pair(esk88_3(X1,X2,X3),esk88_3(X1,X2,X3)),unordered_pair(esk88_3(X1,X2,X3),esk89_3(X1,X2,X3))),X1)|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X2)|~relation(X1)|~relation(X3)|~function(X3))).
% 8.22/2.40 cnf(i_0_1620, plain, (in(unordered_pair(unordered_pair(apply(X1,esk292_4(X2,X3,X1,X4)),apply(X1,esk292_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk292_4(X2,X3,X1,X4)),apply(X1,esk293_4(X2,X3,X1,X4)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk286_3(X2,X3,X1)),apply(X1,esk286_3(X2,X3,X1))),unordered_pair(apply(X1,esk286_3(X2,X3,X1)),apply(X1,esk287_3(X2,X3,X1)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk290_3(X2,X3,X1)))).
% 8.22/2.40 cnf(i_0_1619, plain, (in(unordered_pair(unordered_pair(apply(X1,esk286_3(X2,X3,X1)),apply(X1,esk286_3(X2,X3,X1))),unordered_pair(apply(X1,esk286_3(X2,X3,X1)),apply(X1,esk287_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk290_3(X2,X3,X1))|~relation(X3)|~relation(X1)|~function(X1)|~in(unordered_pair(unordered_pair(apply(X1,X4),apply(X1,X5)),unordered_pair(apply(X1,X4),apply(X1,X4))),X3)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X2)))).
% 8.22/2.40 cnf(i_0_1604, plain, (in(unordered_pair(unordered_pair(apply(X1,esk288_3(X2,X3,X1)),apply(X1,esk288_3(X2,X3,X1))),unordered_pair(apply(X1,esk288_3(X2,X3,X1)),apply(X1,esk289_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk290_3(X2,X3,X1))|~relation(X3)|~relation(X1)|~function(X1)|~in(unordered_pair(unordered_pair(apply(X1,X4),apply(X1,X5)),unordered_pair(apply(X1,X4),apply(X1,X4))),X3)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X2)))).
% 8.22/2.40 cnf(i_0_1605, plain, (in(unordered_pair(unordered_pair(apply(X1,esk292_4(X2,X3,X1,X4)),apply(X1,esk292_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk292_4(X2,X3,X1,X4)),apply(X1,esk293_4(X2,X3,X1,X4)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk288_3(X2,X3,X1)),apply(X1,esk288_3(X2,X3,X1))),unordered_pair(apply(X1,esk288_3(X2,X3,X1)),apply(X1,esk289_3(X2,X3,X1)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk290_3(X2,X3,X1)))).
% 8.22/2.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 8.22/2.40 # Begin printing tableau
% 8.22/2.40 # Found 4 steps
% 8.22/2.40 cnf(i_0_2194, negated_conjecture, (top_str(esk383_0)), inference(start_rule)).
% 8.22/2.40 cnf(i_0_3385, plain, (top_str(esk383_0)), inference(extension_rule, [i_0_490])).
% 8.22/2.40 cnf(i_0_43458, plain, (one_sorted_str(esk383_0)), inference(extension_rule, [i_0_240])).
% 8.22/2.40 cnf(i_0_43556, plain, (empty_carrier_subset(esk383_0)=empty_set), inference(etableau_closure_rule, [i_0_43556, ...])).
% 8.22/2.40 # End printing tableau
% 8.22/2.40 # SZS output end
% 8.22/2.40 # Branches closed with saturation will be marked with an "s"
% 8.22/2.40 esk199_4(X1,X2,X4,X5))|~relation(X2)|~in(X5,esk195_3(X1,X2,X4))|~in(X3,esk194_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1914, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1806, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk350_2(X1,X2),X1)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1496, plain, (esk253_2(X1,X2)=esk254_2(X1,X2)|element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1860, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1039, plain, (in(unordered_pair(unordered_pair(esk178_2(X1,X2),X3),unordered_pair(esk178_2(X1,X2),esk178_2(X1,X2))),X2)|in(X4,esk182_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk185_5(X1,X2,X4,X5,X5))),X2)|~in(X3,esk180_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 8.22/2.40 cnf(i_0_1932, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk350_2(X1,X2),X1)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1567, plain, (subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk278_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk282_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 8.22/2.40 cnf(i_0_1535, plain, (subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk278_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk282_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 8.22/2.40 cnf(i_0_1478, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk260_3(X3,X4,X5))|in(esk256_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk264_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5)))).
% 8.22/2.40 cnf(i_0_1464, plain, (esk253_2(X1,X2)=esk255_2(X1,X2)|element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1879, lemma, (in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk348_2(X1,X2))|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_1015, plain, (in(unordered_pair(unordered_pair(esk179_2(X1,X2),X3),unordered_pair(esk179_2(X1,X2),esk179_2(X1,X2))),X2)|in(X4,esk182_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk185_5(X1,X2,X4,X5,X5))),X2)|~in(X3,esk181_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 8.22/2.40 cnf(i_0_1135, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk195_3(X3,X4,X5))|in(esk190_2(X3,X4),esk191_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk200_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))).
% 8.22/2.40 cnf(i_0_1081, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk195_3(X3,X4,X5))|in(esk193_2(X3,X4),esk194_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk200_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))).
% 8.22/2.40 cnf(i_0_1825, lemma, (in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X3,esk349_2(X1,X2))|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_1446, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk260_3(X3,X4,X5))|in(esk258_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk264_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(complements_of_subsets(the_carrier(X3),X4),X5)))).
% 8.22/2.40 cnf(i_0_1495, plain, (esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk253_2(X1,X2)=esk254_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1463, plain, (esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk253_2(X1,X2)=esk255_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1870, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1577, plain, (element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|in(esk274_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_241, plain, (X1=X2|in(unordered_pair(unordered_pair(esk47_2(X1,X2),esk47_2(X1,X2)),unordered_pair(esk47_2(X1,X2),esk48_2(X1,X2))),X1)|in(unordered_pair(unordered_pair(esk47_2(X1,X2),esk47_2(X1,X2)),unordered_pair(esk47_2(X1,X2),esk48_2(X1,X2))),X2)|~relation(X2)|~relation(X1))).
% 8.22/2.40 cnf(i_0_1040, plain, (in(unordered_pair(unordered_pair(esk178_2(X1,X2),X3),unordered_pair(esk178_2(X1,X2),esk178_2(X1,X2))),X2)|in(esk185_5(X1,X2,X4,X5,X5),X5)|in(X4,esk182_2(X1,X2))|~relation(X2)|~in(X3,esk180_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 8.22/2.40 cnf(i_0_1016, plain, (in(unordered_pair(unordered_pair(esk179_2(X1,X2),X3),unordered_pair(esk179_2(X1,X2),esk179_2(X1,X2))),X2)|in(esk185_5(X1,X2,X4,X5,X5),X5)|in(X4,esk182_2(X1,X2))|~relation(X2)|~in(X3,esk181_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 8.22/2.40 cnf(i_0_1896, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk346_2(X1,X2),esk348_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1816, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1871, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1817, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1545, plain, (element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|in(esk276_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1842, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk347_2(X1,X2),esk349_2(X1,X2))|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1629, plain, (esk283_3(X1,X2,X3)=esk284_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk290_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,X4),apply(X3,X5)),unordered_pair(apply(X3,X4),apply(X3,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X1)))).
% 8.22/2.40 cnf(i_0_1614, plain, (esk283_3(X1,X2,X3)=esk285_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk290_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,X4),apply(X3,X5)),unordered_pair(apply(X3,X4),apply(X3,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X1)))).
% 8.22/2.40 cnf(i_0_386, plain, (X1=relation_inverse(X2)|in(unordered_pair(unordered_pair(esk86_2(X2,X1),esk87_2(X2,X1)),unordered_pair(esk87_2(X2,X1),esk87_2(X2,X1))),X2)|in(unordered_pair(unordered_pair(esk86_2(X2,X1),esk86_2(X2,X1)),unordered_pair(esk86_2(X2,X1),esk87_2(X2,X1))),X1)|~relation(X1)|~relation(X2))).
% 8.22/2.40 cnf(i_0_1172, plain, (esk186_2(X1,X2)=esk187_2(X1,X2)|in(esk200_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)),esk195_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1876, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1041, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk178_2(X1,X2),X3),unordered_pair(esk178_2(X1,X2),esk178_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(X5,esk184_3(X1,X2,X4))|~in(X3,esk180_2(X1,X2))|~in(X4,esk182_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1017, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk179_2(X1,X2),X3),unordered_pair(esk179_2(X1,X2),esk179_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(X5,esk184_3(X1,X2,X4))|~in(X3,esk181_2(X1,X2))|~in(X4,esk182_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1118, plain, (esk186_2(X1,X2)=esk188_2(X1,X2)|in(esk200_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)),esk195_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1822, lemma, (function(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1489, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1457, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|subset_complement(the_carrier(X1),esk262_4(X1,X2,X3,X4))=esk263_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk262_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1586, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1154, plain, (in(esk200_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)),esk195_3(X1,X2,X3))|in(esk189_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1877, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1868, lemma, (esk353_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X4),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk348_2(X1,X2))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1814, lemma, (esk353_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X4),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk349_2(X1,X2))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1823, lemma, (relation(esk352_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1554, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|subset_complement(the_carrier(X1),esk280_4(X1,X2,X3,X4))=esk281_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk280_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1869, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1815, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk351_4(X1,X2,X4,esk350_2(X1,X2)))),X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1100, plain, (in(esk200_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)),esk195_3(X1,X2,X3))|in(esk192_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1628, plain, (unordered_pair(unordered_pair(esk286_3(X1,X2,X3),esk286_3(X1,X2,X3)),unordered_pair(esk286_3(X1,X2,X3),esk287_3(X1,X2,X3)))=esk284_3(X1,X2,X3)|in(esk291_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1613, plain, (unordered_pair(unordered_pair(esk288_3(X1,X2,X3),esk288_3(X1,X2,X3)),unordered_pair(esk288_3(X1,X2,X3),esk289_3(X1,X2,X3)))=esk285_3(X1,X2,X3)|in(esk291_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1470, plain, (subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk260_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk264_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 8.22/2.40 cnf(i_0_392, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk88_3(X1,X2,X3),esk88_3(X1,X2,X3)),unordered_pair(esk88_3(X1,X2,X3),esk89_3(X1,X2,X3))),X1)|in(esk88_3(X1,X2,X3),relation_field(X1))|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X3))).
% 8.22/2.40 cnf(i_0_1875, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1438, plain, (subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk260_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk264_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 8.22/2.40 cnf(i_0_1479, plain, (esk264_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)),esk260_3(X1,X2,X3))|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1821, lemma, (relation_dom(esk352_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk350_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_391, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk88_3(X1,X2,X3),esk88_3(X1,X2,X3)),unordered_pair(esk88_3(X1,X2,X3),esk89_3(X1,X2,X3))),X1)|in(esk89_3(X1,X2,X3),relation_field(X1))|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X3))).
% 8.22/2.40 cnf(i_0_1874, lemma, (esk353_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X4),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk348_2(X1,X2))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1820, lemma, (esk353_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X4),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk349_2(X1,X2))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1780, lemma, (in(unordered_pair(unordered_pair(apply(X1,esk339_4(X2,X3,X1,X4)),apply(X1,esk339_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk339_4(X2,X3,X1,X4)),apply(X1,esk340_4(X2,X3,X1,X4)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk338_3(X2,X3,X1)))).
% 8.22/2.40 cnf(i_0_1622, plain, (esk291_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk286_3(X1,X2,X3)),apply(X3,esk286_3(X1,X2,X3))),unordered_pair(apply(X3,esk286_3(X1,X2,X3)),apply(X3,esk287_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1447, plain, (esk264_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)),esk260_3(X1,X2,X3))|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1607, plain, (esk291_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk288_3(X1,X2,X3)),apply(X3,esk288_3(X1,X2,X3))),unordered_pair(apply(X3,esk288_3(X1,X2,X3)),apply(X3,esk289_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1136, plain, (in(esk200_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)),esk195_3(X1,X2,X3))|in(esk190_2(X1,X2),esk191_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1082, plain, (in(esk200_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)),esk195_3(X1,X2,X3))|in(esk193_2(X1,X2),esk194_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1794, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1475, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1569, plain, (subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1537, plain, (subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1480, plain, (element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|in(esk256_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1448, plain, (element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|in(esk258_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_854, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_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)),esk153_2(X1,X2))|~in(X5,esk154_4(X1,X2,X6,X4))|~in(X3,esk151_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_822, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_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)),esk153_2(X1,X2))|~in(X5,esk154_4(X1,X2,X6,X4))|~in(X3,esk152_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1443, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1572, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1540, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1568, plain, (esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk274_2(X1,X2))=esk275_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk274_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1600, plain, (in(unordered_pair(unordered_pair(apply(X1,esk292_4(X2,X3,X1,X4)),apply(X1,esk292_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk292_4(X2,X3,X1,X4)),apply(X1,esk293_4(X2,X3,X1,X4)))),X3)|esk285_3(X2,X3,X1)!=esk284_3(X2,X3,X1)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk290_3(X2,X3,X1)))).
% 8.22/2.40 cnf(i_0_1902, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1472, plain, (subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1440, plain, (subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1536, plain, (esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk276_2(X1,X2))=esk277_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk276_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1471, plain, (esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk256_2(X1,X2))=esk257_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk256_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1439, plain, (esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk258_2(X1,X2))=esk259_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk258_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1848, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1920, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1630, plain, (esk283_3(X1,X2,X3)=esk284_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk292_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk293_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1800, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|esk347_2(X1,X2)!=esk346_2(X1,X2)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1583, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk278_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk282_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 8.22/2.40 cnf(i_0_1615, plain, (esk283_3(X1,X2,X3)=esk285_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk292_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk293_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_393, plain, (relation_isomorphism(X1,X2,X3)|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,esk88_3(X1,X2,X3)),apply(X3,esk88_3(X1,X2,X3))),unordered_pair(apply(X3,esk88_3(X1,X2,X3)),apply(X3,esk89_3(X1,X2,X3)))),X2)|~in(unordered_pair(unordered_pair(esk88_3(X1,X2,X3),esk88_3(X1,X2,X3)),unordered_pair(esk88_3(X1,X2,X3),esk89_3(X1,X2,X3))),X1)|~in(esk88_3(X1,X2,X3),relation_field(X1))|~in(esk89_3(X1,X2,X3),relation_field(X1)))).
% 8.22/2.40 cnf(i_0_1867, lemma, (in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X3,esk348_2(X1,X2))|~in(X5,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_853, lemma, (in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk153_2(X1,X2))|in(esk155_5(X1,X2,X4,X5,X4),X4)|~relation(X2)|~in(X3,esk151_2(X1,X2))|~in(X5,X4)|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_1813, lemma, (in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(apply(esk352_2(X1,X2),X4),esk353_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X3,esk349_2(X1,X2))|~in(X5,esk350_2(X1,X2))|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_1908, lemma, (esk345_2(X1,X2)=esk348_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_821, lemma, (in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk153_2(X1,X2))|in(esk155_5(X1,X2,X4,X5,X4),X4)|~relation(X2)|~in(X3,esk152_2(X1,X2))|~in(X5,X4)|~in(X4,X1))).
% 8.22/2.40 cnf(i_0_852, lemma, (in(unordered_pair(unordered_pair(esk149_2(X1,X2),X3),unordered_pair(esk149_2(X1,X2),esk149_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk153_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk155_5(X1,X2,X4,X5,X4))),X2)|~in(X3,esk151_2(X1,X2))|~in(X4,X1)|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1623, plain, (in(unordered_pair(unordered_pair(apply(X1,esk286_3(X2,X3,X1)),apply(X1,esk286_3(X2,X3,X1))),unordered_pair(apply(X1,esk286_3(X2,X3,X1)),apply(X1,esk287_3(X2,X3,X1)))),X3)|in(esk291_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~relation(X1)|~relation(X3)|~function(X1)|~in(X4,esk290_3(X2,X3,X1)))).
% 8.22/2.40 cnf(i_0_820, lemma, (in(unordered_pair(unordered_pair(esk150_2(X1,X2),X3),unordered_pair(esk150_2(X1,X2),esk150_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk153_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk155_5(X1,X2,X4,X5,X4))),X2)|~in(X3,esk152_2(X1,X2))|~in(X4,X1)|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1551, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk278_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk282_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(X2,X5)))).
% 8.22/2.40 cnf(i_0_1608, plain, (in(unordered_pair(unordered_pair(apply(X1,esk288_3(X2,X3,X1)),apply(X1,esk288_3(X2,X3,X1))),unordered_pair(apply(X1,esk288_3(X2,X3,X1)),apply(X1,esk289_3(X2,X3,X1)))),X3)|in(esk291_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~relation(X1)|~relation(X3)|~function(X1)|~in(X4,esk290_3(X2,X3,X1)))).
% 8.22/2.40 cnf(i_0_1884, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1830, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk351_4(X1,X2,X5,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1854, lemma, (esk349_2(X1,X2)=esk345_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1926, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk345_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1873, lemma, (in(unordered_pair(unordered_pair(esk346_2(X1,X2),X3),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X5),esk353_3(X1,X2,X5))|~relation(X2)|~in(X3,esk348_2(X1,X2))|~in(X4,esk350_2(X1,X2))|~in(X5,X1))).
% 8.22/2.40 cnf(i_0_1819, lemma, (in(unordered_pair(unordered_pair(esk347_2(X1,X2),X3),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk351_4(X1,X2,X4,esk350_2(X1,X2)),esk350_2(X1,X2))|in(apply(esk352_2(X1,X2),X5),esk353_3(X1,X2,X5))|~relation(X2)|~in(X3,esk349_2(X1,X2))|~in(X4,esk350_2(X1,X2))|~in(X5,X1))).
% 8.22/2.40 cnf(i_0_1168, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1114, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1890, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk346_2(X1,X2),esk348_2(X1,X2))|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1836, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(esk351_4(X1,X2,X5,esk350_2(X1,X2)),esk350_2(X1,X2))|in(esk347_2(X1,X2),esk349_2(X1,X2))|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1584, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|esk282_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)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_86, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X2))).
% 8.22/2.40 cnf(i_0_1126, plain, (in(unordered_pair(unordered_pair(esk190_2(X1,X2),X3),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk195_3(X1,X2,X6))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk200_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,esk191_2(X1,X2))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1072, plain, (in(unordered_pair(unordered_pair(esk193_2(X1,X2),X3),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk195_3(X1,X2,X6))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk200_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,esk194_2(X1,X2))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1162, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk195_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk200_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))).
% 8.22/2.40 cnf(i_0_1108, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk195_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk200_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))).
% 8.22/2.40 cnf(i_0_100, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3))).
% 8.22/2.40 cnf(i_0_1486, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk260_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk264_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 8.22/2.40 cnf(i_0_1454, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk260_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk264_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X5)))).
% 8.22/2.40 cnf(i_0_1552, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|esk282_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)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1491, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1459, plain, (unordered_pair(unordered_pair(esk262_4(X1,X2,X3,X4),esk262_4(X1,X2,X3,X4)),unordered_pair(esk262_4(X1,X2,X3,X4),esk263_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk260_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1588, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1556, plain, (unordered_pair(unordered_pair(esk280_4(X1,X2,X3,X4),esk280_4(X1,X2,X3,X4)),unordered_pair(esk280_4(X1,X2,X3,X4),esk281_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk278_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1132, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X5),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3))|~in(X5,esk191_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1078, plain, (unordered_pair(unordered_pair(esk197_4(X1,X2,X3,X4),esk197_4(X1,X2,X3,X4)),unordered_pair(esk197_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X5),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk195_3(X1,X2,X3))|~in(X5,esk194_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1585, plain, (unordered_pair(unordered_pair(esk274_2(X1,X2),esk274_2(X1,X2)),unordered_pair(esk274_2(X1,X2),esk275_2(X1,X2)))=esk272_2(X1,X2)|element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_415, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk95_3(X2,X3,X1),esk95_3(X2,X3,X1)),unordered_pair(esk95_3(X2,X3,X1),esk97_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk95_3(X2,X3,X1),esk95_3(X2,X3,X1)),unordered_pair(esk95_3(X2,X3,X1),esk96_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 8.22/2.40 cnf(i_0_1128, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|in(unordered_pair(unordered_pair(esk190_2(X1,X2),X6),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3))|~in(X6,esk191_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1074, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|in(unordered_pair(unordered_pair(esk193_2(X1,X2),X6),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3))|~in(X6,esk194_2(X1,X2)))).
% 8.22/2.40 cnf(i_0_1164, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1110, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk198_4(X1,X2,X3,X4),X5),unordered_pair(esk198_4(X1,X2,X3,X4),esk198_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk199_4(X1,X2,X3,X4))|~in(X4,esk195_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_414, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk96_3(X2,X3,X1),esk97_3(X2,X3,X1)),unordered_pair(esk97_3(X2,X3,X1),esk97_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk95_3(X2,X3,X1),esk95_3(X2,X3,X1)),unordered_pair(esk95_3(X2,X3,X1),esk96_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 8.22/2.40 cnf(i_0_1553, plain, (unordered_pair(unordered_pair(esk276_2(X1,X2),esk276_2(X1,X2)),unordered_pair(esk276_2(X1,X2),esk277_2(X1,X2)))=esk273_2(X1,X2)|element(esk282_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk278_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X3)))).
% 8.22/2.40 cnf(i_0_1487, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|esk264_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)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1455, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|esk264_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)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1878, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X5),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk348_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1488, plain, (unordered_pair(unordered_pair(esk256_2(X1,X2),esk256_2(X1,X2)),unordered_pair(esk256_2(X1,X2),esk257_2(X1,X2)))=esk254_2(X1,X2)|element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1824, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X5),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk350_2(X1,X2),X1)|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk349_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1127, plain, (in(unordered_pair(unordered_pair(esk190_2(X1,X2),X3),unordered_pair(esk190_2(X1,X2),esk190_2(X1,X2))),X2)|in(esk200_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)),esk195_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),cartesian_product2(X1,X4))|~in(X3,esk191_2(X1,X2))|~in(X6,X5))).
% 8.22/2.40 cnf(i_0_1073, plain, (in(unordered_pair(unordered_pair(esk193_2(X1,X2),X3),unordered_pair(esk193_2(X1,X2),esk193_2(X1,X2))),X2)|in(esk200_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)),esk195_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),cartesian_product2(X1,X4))|~in(X3,esk194_2(X1,X2))|~in(X6,X5))).
% 8.22/2.40 cnf(i_0_1626, plain, (unordered_pair(unordered_pair(esk286_3(X1,X2,X3),esk286_3(X1,X2,X3)),unordered_pair(esk286_3(X1,X2,X3),esk287_3(X1,X2,X3)))=esk284_3(X1,X2,X3)|unordered_pair(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1456, plain, (unordered_pair(unordered_pair(esk258_2(X1,X2),esk258_2(X1,X2)),unordered_pair(esk258_2(X1,X2),esk259_2(X1,X2)))=esk255_2(X1,X2)|element(esk264_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk260_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3)))).
% 8.22/2.40 cnf(i_0_1163, plain, (unordered_pair(unordered_pair(esk189_2(X1,X2),esk189_2(X1,X2)),unordered_pair(esk189_2(X1,X2),esk190_2(X1,X2)))=esk187_2(X1,X2)|in(esk200_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)),esk195_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1109, plain, (unordered_pair(unordered_pair(esk192_2(X1,X2),esk192_2(X1,X2)),unordered_pair(esk192_2(X1,X2),esk193_2(X1,X2)))=esk188_2(X1,X2)|in(esk200_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)),esk195_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 8.22/2.40 cnf(i_0_1611, plain, (unordered_pair(unordered_pair(esk288_3(X1,X2,X3),esk288_3(X1,X2,X3)),unordered_pair(esk288_3(X1,X2,X3),esk289_3(X1,X2,X3)))=esk285_3(X1,X2,X3)|unordered_pair(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1624, plain, (unordered_pair(unordered_pair(esk286_3(X1,X2,X3),esk286_3(X1,X2,X3)),unordered_pair(esk286_3(X1,X2,X3),esk287_3(X1,X2,X3)))=esk284_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk290_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,X4),apply(X3,X5)),unordered_pair(apply(X3,X4),apply(X3,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X1)))).
% 8.22/2.40 cnf(i_0_1625, plain, (unordered_pair(unordered_pair(esk286_3(X1,X2,X3),esk286_3(X1,X2,X3)),unordered_pair(esk286_3(X1,X2,X3),esk287_3(X1,X2,X3)))=esk284_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk292_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk293_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1610, plain, (unordered_pair(unordered_pair(esk288_3(X1,X2,X3),esk288_3(X1,X2,X3)),unordered_pair(esk288_3(X1,X2,X3),esk289_3(X1,X2,X3)))=esk285_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk292_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk292_4(X1,X2,X3,X4)),apply(X3,esk293_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1866, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X5),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,esk351_4(X1,X2,X6,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk348_2(X1,X2))|~in(X6,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1621, plain, (unordered_pair(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|in(unordered_pair(unordered_pair(apply(X3,esk286_3(X1,X2,X3)),apply(X3,esk286_3(X1,X2,X3))),unordered_pair(apply(X3,esk286_3(X1,X2,X3)),apply(X3,esk287_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1609, plain, (unordered_pair(unordered_pair(esk288_3(X1,X2,X3),esk288_3(X1,X2,X3)),unordered_pair(esk288_3(X1,X2,X3),esk289_3(X1,X2,X3)))=esk285_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk290_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)|~in(unordered_pair(unordered_pair(apply(X3,X4),apply(X3,X5)),unordered_pair(apply(X3,X4),apply(X3,X4))),X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X1)))).
% 8.22/2.40 cnf(i_0_1812, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X5),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,esk351_4(X1,X2,X6,esk350_2(X1,X2)))),X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk349_2(X1,X2))|~in(X6,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1872, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk346_2(X1,X2),X5),unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2))),X2)|in(esk351_4(X1,X2,X6,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk348_2(X1,X2))|~in(X6,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_1606, plain, (unordered_pair(unordered_pair(esk292_4(X1,X2,X3,X4),esk292_4(X1,X2,X3,X4)),unordered_pair(esk292_4(X1,X2,X3,X4),esk293_4(X1,X2,X3,X4)))=X4|in(unordered_pair(unordered_pair(apply(X3,esk288_3(X1,X2,X3)),apply(X3,esk288_3(X1,X2,X3))),unordered_pair(apply(X3,esk288_3(X1,X2,X3)),apply(X3,esk289_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk290_3(X1,X2,X3)))).
% 8.22/2.40 cnf(i_0_1818, lemma, (in(unordered_pair(unordered_pair(apply(esk352_2(X1,X2),X3),X4),unordered_pair(apply(esk352_2(X1,X2),X3),apply(esk352_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk347_2(X1,X2),X5),unordered_pair(esk347_2(X1,X2),esk347_2(X1,X2))),X2)|in(esk351_4(X1,X2,X6,esk350_2(X1,X2)),esk350_2(X1,X2))|~relation(X2)|~in(X4,esk353_3(X1,X2,X3))|~in(X5,esk349_2(X1,X2))|~in(X6,esk350_2(X1,X2))|~in(X3,X1))).
% 8.22/2.40 cnf(i_0_390, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk88_3(X1,X2,X3)),apply(X3,esk88_3(X1,X2,X3))),unordered_pair(apply(X3,esk88_3(X1,X2,X3)),apply(X3,esk89_3(X1,X2,X3)))),X2)|in(unordered_pair(unordered_pair(esk88_3(X1,X2,X3),esk88_3(X1,X2,X3)),unordered_pair(esk88_3(X1,X2,X3),esk89_3(X1,X2,X3))),X1)|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X2)|~relation(X1)|~relation(X3)|~function(X3))).
% 8.22/2.40 cnf(i_0_1620, plain, (in(unordered_pair(unordered_pair(apply(X1,esk292_4(X2,X3,X1,X4)),apply(X1,esk292_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk292_4(X2,X3,X1,X4)),apply(X1,esk293_4(X2,X3,X1,X4)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk286_3(X2,X3,X1)),apply(X1,esk286_3(X2,X3,X1))),unordered_pair(apply(X1,esk286_3(X2,X3,X1)),apply(X1,esk287_3(X2,X3,X1)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk290_3(X2,X3,X1)))).
% 8.22/2.40 cnf(i_0_1619, plain, (in(unordered_pair(unordered_pair(apply(X1,esk286_3(X2,X3,X1)),apply(X1,esk286_3(X2,X3,X1))),unordered_pair(apply(X1,esk286_3(X2,X3,X1)),apply(X1,esk287_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk290_3(X2,X3,X1))|~relation(X3)|~relation(X1)|~function(X1)|~in(unordered_pair(unordered_pair(apply(X1,X4),apply(X1,X5)),unordered_pair(apply(X1,X4),apply(X1,X4))),X3)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X2)))).
% 8.22/2.40 cnf(i_0_1604, plain, (in(unordered_pair(unordered_pair(apply(X1,esk288_3(X2,X3,X1)),apply(X1,esk288_3(X2,X3,X1))),unordered_pair(apply(X1,esk288_3(X2,X3,X1)),apply(X1,esk289_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk290_3(X2,X3,X1))|~relation(X3)|~relation(X1)|~function(X1)|~in(unordered_pair(unordered_pair(apply(X1,X4),apply(X1,X5)),unordered_pair(apply(X1,X4),apply(X1,X4))),X3)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X2,X2)))).
% 8.22/2.40 cnf(i_0_1605, plain, (in(unordered_pair(unordered_pair(apply(X1,esk292_4(X2,X3,X1,X4)),apply(X1,esk292_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk292_4(X2,X3,X1,X4)),apply(X1,esk293_4(X2,X3,X1,X4)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk288_3(X2,X3,X1)),apply(X1,esk288_3(X2,X3,X1))),unordered_pair(apply(X1,esk288_3(X2,X3,X1)),apply(X1,esk289_3(X2,X3,X1)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk290_3(X2,X3,X1)))).
% 8.22/2.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 8.22/2.40 # Begin printing tableau
% 8.22/2.40 # Found 4 steps
% 8.22/2.40 cnf(i_0_2193, negated_conjecture, (element(esk384_0,powerset(powerset(the_carrier(esk383_0))))), inference(start_rule)).
% 8.22/2.40 cnf(i_0_3384, plain, (element(esk384_0,powerset(powerset(the_carrier(esk383_0))))), inference(extension_rule, [i_0_2299])).
% 8.22/2.40 cnf(i_0_43689, plain, (subset(esk384_0,powerset(the_carrier(esk383_0)))), inference(extension_rule, [i_0_2384])).
% 8.22/2.40 cnf(i_0_43706, plain, (~proper_subset(powerset(the_carrier(esk383_0)),esk384_0)), inference(etableau_closure_rule, [i_0_43706, ...])).
% 8.22/2.40 # End printing tableau
% 8.22/2.40 # SZS output end
% 8.22/2.40 # Branches closed with saturation will be marked with an "s"
% 8.22/2.40 # Child (11385) has found a proof.
% 8.22/2.40
% 8.22/2.40 # Proof search is over...
% 8.22/2.40 # Freeing feature tree
%------------------------------------------------------------------------------