%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEU373+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 : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 09:26:17 EDT 2022

% Result   : Theorem 12.82s 4.16s
% Output   : CNFRefutation 12.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU373+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.14  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 19 23:35:48 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 1.83/2.06  # No SInE strategy applied
% 1.83/2.06  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S2g
% 1.83/2.06  # and selection function SelectCQArNpEqFirst.
% 1.83/2.06  #
% 1.83/2.06  # Presaturation interreduction done
% 1.83/2.06  # Number of axioms: 3260 Number of unprocessed: 2972
% 1.83/2.06  # Tableaux proof search.
% 1.83/2.06  # APR header successfully linked.
% 1.83/2.06  # Hello from C++
% 1.93/2.09  # The folding up rule is enabled...
% 1.93/2.09  # Local unification is enabled...
% 1.93/2.09  # Any saturation attempts will use folding labels...
% 1.93/2.09  # 2972 beginning clauses after preprocessing and clausification
% 1.93/2.09  # Creating start rules for all 4 conjectures.
% 1.93/2.09  # There are 4 start rule candidates:
% 1.93/2.09  # Found 344 unit axioms.
% 1.93/2.09  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 1.93/2.09  # 4 start rule tableaux created.
% 1.93/2.09  # 2628 extension rule candidate clauses
% 1.93/2.09  # 344 unit axiom clauses
% 1.93/2.09  
% 1.93/2.09  # Requested 8, 32 cores available to the main process.
% 1.93/2.09  # There are not enough tableaux to fork, creating more from the initial 4
% 1.93/2.09  # Returning from population with 32 new_tableaux and 0 remaining starting tableaux.
% 1.93/2.09  # We now have 32 tableaux to operate on
% 12.82/4.16  # There were 1 total branch saturation attempts.
% 12.82/4.16  # There were 0 of these attempts blocked.
% 12.82/4.16  # There were 0 deferred branch saturation attempts.
% 12.82/4.16  # There were 0 free duplicated saturations.
% 12.82/4.16  # There were 1 total successful branch saturations.
% 12.82/4.16  # There were 0 successful branch saturations in interreduction.
% 12.82/4.16  # There were 0 successful branch saturations on the branch.
% 12.82/4.16  # There were 1 successful branch saturations after the branch.
% 12.82/4.16  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.82/4.16  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.82/4.16  # Begin clausification derivation
% 12.82/4.16  
% 12.82/4.16  # End clausification derivation
% 12.82/4.16  # Begin listing active clauses obtained from FOF to CNF conversion
% 12.82/4.16  cnf(i_0_2951, negated_conjecture, (one_sorted_str(esk466_0))).
% 12.82/4.16  cnf(i_0_2950, negated_conjecture, (net_str(esk467_0,esk466_0))).
% 12.82/4.16  cnf(i_0_2949, negated_conjecture, (subnetstr(esk468_0,esk466_0,esk467_0))).
% 12.82/4.16  cnf(i_0_800, plain, (one_sorted_str(esk136_0))).
% 12.82/4.16  cnf(i_0_3190, lemma, (relation_dom(empty_set)=empty_set)).
% 12.82/4.16  cnf(i_0_1377, plain, (one_sorted_str(esk199_0))).
% 12.82/4.16  cnf(i_0_798, plain, (rel_str(esk134_0))).
% 12.82/4.16  cnf(i_0_3189, lemma, (relation_rng(empty_set)=empty_set)).
% 12.82/4.16  cnf(i_0_1249, plain, (rel_str(esk168_0))).
% 12.82/4.16  cnf(i_0_1257, plain, (rel_str(esk170_0))).
% 12.82/4.16  cnf(i_0_1288, plain, (rel_str(esk179_0))).
% 12.82/4.16  cnf(i_0_1317, plain, (rel_str(esk183_0))).
% 12.82/4.16  cnf(i_0_1323, plain, (rel_str(esk184_0))).
% 12.82/4.16  cnf(i_0_1354, plain, (rel_str(esk192_0))).
% 12.82/4.16  cnf(i_0_1247, plain, (strict_rel_str(esk168_0))).
% 12.82/4.16  cnf(i_0_1256, plain, (strict_rel_str(esk170_0))).
% 12.82/4.16  cnf(i_0_1286, plain, (strict_rel_str(esk179_0))).
% 12.82/4.16  cnf(i_0_1315, plain, (strict_rel_str(esk183_0))).
% 12.82/4.16  cnf(i_0_1321, plain, (strict_rel_str(esk184_0))).
% 12.82/4.16  cnf(i_0_803, plain, (latt_str(esk139_0))).
% 12.82/4.16  cnf(i_0_1186, plain, (latt_str(esk160_0))).
% 12.82/4.16  cnf(i_0_1199, plain, (latt_str(esk161_0))).
% 12.82/4.16  cnf(i_0_1213, plain, (latt_str(esk162_0))).
% 12.82/4.16  cnf(i_0_1229, plain, (latt_str(esk163_0))).
% 12.82/4.16  cnf(i_0_1362, plain, (latt_str(esk195_0))).
% 12.82/4.16  cnf(i_0_1388, plain, (latt_str(esk203_0))).
% 12.82/4.16  cnf(i_0_1403, plain, (latt_str(esk206_0))).
% 12.82/4.16  cnf(i_0_1184, plain, (strict_latt_str(esk160_0))).
% 12.82/4.16  cnf(i_0_1197, plain, (strict_latt_str(esk161_0))).
% 12.82/4.16  cnf(i_0_1211, plain, (strict_latt_str(esk162_0))).
% 12.82/4.16  cnf(i_0_1227, plain, (strict_latt_str(esk163_0))).
% 12.82/4.16  cnf(i_0_1361, plain, (strict_latt_str(esk195_0))).
% 12.82/4.16  cnf(i_0_1386, plain, (strict_latt_str(esk203_0))).
% 12.82/4.16  cnf(i_0_1401, plain, (strict_latt_str(esk206_0))).
% 12.82/4.16  cnf(i_0_1071, plain, (v1_membered(empty_set))).
% 12.82/4.16  cnf(i_0_1254, plain, (v1_membered(esk169_0))).
% 12.82/4.16  cnf(i_0_1070, plain, (v2_membered(empty_set))).
% 12.82/4.16  cnf(i_0_1253, plain, (v2_membered(esk169_0))).
% 12.82/4.16  cnf(i_0_1069, plain, (v3_membered(empty_set))).
% 12.82/4.16  cnf(i_0_1252, plain, (v3_membered(esk169_0))).
% 12.82/4.16  cnf(i_0_1068, plain, (v4_membered(empty_set))).
% 12.82/4.16  cnf(i_0_1251, plain, (v4_membered(esk169_0))).
% 12.82/4.16  cnf(i_0_1067, plain, (v5_membered(empty_set))).
% 12.82/4.16  cnf(i_0_1250, plain, (v5_membered(esk169_0))).
% 12.82/4.16  cnf(i_0_1230, plain, (natural(esk164_0))).
% 12.82/4.16  cnf(i_0_819, plain, (empty(empty_set))).
% 12.82/4.16  cnf(i_0_1265, plain, (empty(esk173_0))).
% 12.82/4.16  cnf(i_0_1273, plain, (empty(esk175_0))).
% 12.82/4.16  cnf(i_0_1278, plain, (empty(esk178_0))).
% 12.82/4.16  cnf(i_0_1300, plain, (empty(esk181_0))).
% 12.82/4.16  cnf(i_0_1327, plain, (empty(esk185_0))).
% 12.82/4.16  cnf(i_0_855, plain, (ordinal(omega))).
% 12.82/4.16  cnf(i_0_911, plain, (ordinal(empty_set))).
% 12.82/4.16  cnf(i_0_1231, plain, (ordinal(esk164_0))).
% 12.82/4.16  cnf(i_0_1258, plain, (ordinal(esk171_0))).
% 12.82/4.16  cnf(i_0_1262, plain, (ordinal(esk172_0))).
% 12.82/4.16  cnf(i_0_1324, plain, (ordinal(esk185_0))).
% 12.82/4.16  cnf(i_0_1363, plain, (ordinal(esk196_0))).
% 12.82/4.16  cnf(i_0_857, plain, (epsilon_transitive(omega))).
% 12.82/4.16  cnf(i_0_913, plain, (epsilon_transitive(empty_set))).
% 12.82/4.16  cnf(i_0_1233, plain, (epsilon_transitive(esk164_0))).
% 12.82/4.16  cnf(i_0_1260, plain, (epsilon_transitive(esk171_0))).
% 12.82/4.16  cnf(i_0_1264, plain, (epsilon_transitive(esk172_0))).
% 12.82/4.16  cnf(i_0_1326, plain, (epsilon_transitive(esk185_0))).
% 12.82/4.16  cnf(i_0_1365, plain, (epsilon_transitive(esk196_0))).
% 12.82/4.16  cnf(i_0_856, plain, (epsilon_connected(omega))).
% 12.82/4.16  cnf(i_0_912, plain, (epsilon_connected(empty_set))).
% 12.82/4.16  cnf(i_0_1232, plain, (epsilon_connected(esk164_0))).
% 12.82/4.16  cnf(i_0_1259, plain, (epsilon_connected(esk171_0))).
% 12.82/4.16  cnf(i_0_1263, plain, (epsilon_connected(esk172_0))).
% 12.82/4.16  cnf(i_0_1325, plain, (epsilon_connected(esk185_0))).
% 12.82/4.16  cnf(i_0_1364, plain, (epsilon_connected(esk196_0))).
% 12.82/4.16  cnf(i_0_1235, plain, (finite(esk165_0))).
% 12.82/4.16  cnf(i_0_916, plain, (function(empty_set))).
% 12.82/4.16  cnf(i_0_1237, plain, (function(esk166_0))).
% 12.82/4.16  cnf(i_0_1267, plain, (function(esk173_0))).
% 12.82/4.16  cnf(i_0_1269, plain, (function(esk174_0))).
% 12.82/4.16  cnf(i_0_1299, plain, (function(esk181_0))).
% 12.82/4.16  cnf(i_0_1329, plain, (function(esk185_0))).
% 12.82/4.16  cnf(i_0_1359, plain, (function(esk194_0))).
% 12.82/4.16  cnf(i_0_1381, plain, (function(esk201_0))).
% 12.82/4.16  cnf(i_0_1177, plain, (lattice(esk160_0))).
% 12.82/4.16  cnf(i_0_1190, plain, (lattice(esk161_0))).
% 12.82/4.16  cnf(i_0_1204, plain, (lattice(esk162_0))).
% 12.82/4.16  cnf(i_0_1220, plain, (lattice(esk163_0))).
% 12.82/4.16  cnf(i_0_1394, plain, (lattice(esk206_0))).
% 12.82/4.16  cnf(i_0_1183, plain, (join_commutative(esk160_0))).
% 12.82/4.16  cnf(i_0_1196, plain, (join_commutative(esk161_0))).
% 12.82/4.16  cnf(i_0_1210, plain, (join_commutative(esk162_0))).
% 12.82/4.16  cnf(i_0_1226, plain, (join_commutative(esk163_0))).
% 12.82/4.16  cnf(i_0_1400, plain, (join_commutative(esk206_0))).
% 12.82/4.16  cnf(i_0_1182, plain, (join_associative(esk160_0))).
% 12.82/4.16  cnf(i_0_1195, plain, (join_associative(esk161_0))).
% 12.82/4.16  cnf(i_0_1209, plain, (join_associative(esk162_0))).
% 12.82/4.16  cnf(i_0_1225, plain, (join_associative(esk163_0))).
% 12.82/4.16  cnf(i_0_1399, plain, (join_associative(esk206_0))).
% 12.82/4.16  cnf(i_0_1181, plain, (meet_commutative(esk160_0))).
% 12.82/4.16  cnf(i_0_1194, plain, (meet_commutative(esk161_0))).
% 12.82/4.16  cnf(i_0_1208, plain, (meet_commutative(esk162_0))).
% 12.82/4.16  cnf(i_0_1224, plain, (meet_commutative(esk163_0))).
% 12.82/4.16  cnf(i_0_1398, plain, (meet_commutative(esk206_0))).
% 12.82/4.16  cnf(i_0_1180, plain, (meet_associative(esk160_0))).
% 12.82/4.16  cnf(i_0_1193, plain, (meet_associative(esk161_0))).
% 12.82/4.16  cnf(i_0_1207, plain, (meet_associative(esk162_0))).
% 12.82/4.16  cnf(i_0_1223, plain, (meet_associative(esk163_0))).
% 12.82/4.16  cnf(i_0_1397, plain, (meet_associative(esk206_0))).
% 12.82/4.16  cnf(i_0_1179, plain, (meet_absorbing(esk160_0))).
% 12.82/4.16  cnf(i_0_1192, plain, (meet_absorbing(esk161_0))).
% 12.82/4.16  cnf(i_0_1206, plain, (meet_absorbing(esk162_0))).
% 12.82/4.16  cnf(i_0_1222, plain, (meet_absorbing(esk163_0))).
% 12.82/4.16  cnf(i_0_1396, plain, (meet_absorbing(esk206_0))).
% 12.82/4.16  cnf(i_0_1178, plain, (join_absorbing(esk160_0))).
% 12.82/4.16  cnf(i_0_1191, plain, (join_absorbing(esk161_0))).
% 12.82/4.16  cnf(i_0_1205, plain, (join_absorbing(esk162_0))).
% 12.82/4.16  cnf(i_0_1221, plain, (join_absorbing(esk163_0))).
% 12.82/4.16  cnf(i_0_1395, plain, (join_absorbing(esk206_0))).
% 12.82/4.16  cnf(i_0_1174, plain, (lower_bounded_semilattstr(esk160_0))).
% 12.82/4.16  cnf(i_0_1189, plain, (lower_bounded_semilattstr(esk161_0))).
% 12.82/4.16  cnf(i_0_1203, plain, (lower_bounded_semilattstr(esk162_0))).
% 12.82/4.16  cnf(i_0_1218, plain, (lower_bounded_semilattstr(esk163_0))).
% 12.82/4.16  cnf(i_0_1173, plain, (upper_bounded_semilattstr(esk160_0))).
% 12.82/4.16  cnf(i_0_1188, plain, (upper_bounded_semilattstr(esk161_0))).
% 12.82/4.16  cnf(i_0_1202, plain, (upper_bounded_semilattstr(esk162_0))).
% 12.82/4.16  cnf(i_0_1217, plain, (upper_bounded_semilattstr(esk163_0))).
% 12.82/4.16  cnf(i_0_1187, plain, (bounded_lattstr(esk161_0))).
% 12.82/4.16  cnf(i_0_1201, plain, (bounded_lattstr(esk162_0))).
% 12.82/4.16  cnf(i_0_1216, plain, (bounded_lattstr(esk163_0))).
% 12.82/4.16  cnf(i_0_1282, plain, (with_suprema_relstr(esk179_0))).
% 12.82/4.16  cnf(i_0_1311, plain, (with_suprema_relstr(esk183_0))).
% 12.82/4.16  cnf(i_0_1349, plain, (with_suprema_relstr(esk192_0))).
% 12.82/4.16  cnf(i_0_818, plain, (relation(empty_set))).
% 12.82/4.16  cnf(i_0_1238, plain, (relation(esk166_0))).
% 12.82/4.16  cnf(i_0_1268, plain, (relation(esk173_0))).
% 12.82/4.16  cnf(i_0_1271, plain, (relation(esk174_0))).
% 12.82/4.16  cnf(i_0_1272, plain, (relation(esk175_0))).
% 12.82/4.16  cnf(i_0_1301, plain, (relation(esk181_0))).
% 12.82/4.16  cnf(i_0_1330, plain, (relation(esk185_0))).
% 12.82/4.16  cnf(i_0_1334, plain, (relation(esk187_0))).
% 12.82/4.16  cnf(i_0_1360, plain, (relation(esk194_0))).
% 12.82/4.16  cnf(i_0_1375, plain, (relation(esk198_0))).
% 12.82/4.16  cnf(i_0_1383, plain, (relation(esk201_0))).
% 12.82/4.16  cnf(i_0_1243, plain, (complete_relstr(esk168_0))).
% 12.82/4.16  cnf(i_0_1280, plain, (complete_relstr(esk179_0))).
% 12.82/4.16  cnf(i_0_1309, plain, (complete_relstr(esk183_0))).
% 12.82/4.16  cnf(i_0_1347, plain, (complete_relstr(esk192_0))).
% 12.82/4.16  cnf(i_0_1281, plain, (with_infima_relstr(esk179_0))).
% 12.82/4.16  cnf(i_0_1310, plain, (with_infima_relstr(esk183_0))).
% 12.82/4.16  cnf(i_0_1348, plain, (with_infima_relstr(esk192_0))).
% 12.82/4.16  cnf(i_0_915, plain, (one_to_one(empty_set))).
% 12.82/4.16  cnf(i_0_1266, plain, (one_to_one(esk173_0))).
% 12.82/4.16  cnf(i_0_1328, plain, (one_to_one(esk185_0))).
% 12.82/4.16  cnf(i_0_1358, plain, (one_to_one(esk194_0))).
% 12.82/4.16  cnf(i_0_1246, plain, (reflexive_relstr(esk168_0))).
% 12.82/4.16  cnf(i_0_1285, plain, (reflexive_relstr(esk179_0))).
% 12.82/4.16  cnf(i_0_1314, plain, (reflexive_relstr(esk183_0))).
% 12.82/4.16  cnf(i_0_1320, plain, (reflexive_relstr(esk184_0))).
% 12.82/4.16  cnf(i_0_1352, plain, (reflexive_relstr(esk192_0))).
% 12.82/4.16  cnf(i_0_1279, plain, (trivial_carrier(esk179_0))).
% 12.82/4.16  cnf(i_0_1245, plain, (transitive_relstr(esk168_0))).
% 12.82/4.16  cnf(i_0_1284, plain, (transitive_relstr(esk179_0))).
% 12.82/4.16  cnf(i_0_1313, plain, (transitive_relstr(esk183_0))).
% 12.82/4.16  cnf(i_0_1319, plain, (transitive_relstr(esk184_0))).
% 12.82/4.16  cnf(i_0_1351, plain, (transitive_relstr(esk192_0))).
% 12.82/4.16  cnf(i_0_1244, plain, (antisymmetric_relstr(esk168_0))).
% 12.82/4.16  cnf(i_0_1283, plain, (antisymmetric_relstr(esk179_0))).
% 12.82/4.16  cnf(i_0_1312, plain, (antisymmetric_relstr(esk183_0))).
% 12.82/4.16  cnf(i_0_1318, plain, (antisymmetric_relstr(esk184_0))).
% 12.82/4.16  cnf(i_0_1350, plain, (antisymmetric_relstr(esk192_0))).
% 12.82/4.16  cnf(i_0_1344, plain, (bounded_relstr(esk192_0))).
% 12.82/4.16  cnf(i_0_1346, plain, (lower_bounded_relstr(esk192_0))).
% 12.82/4.16  cnf(i_0_1345, plain, (upper_bounded_relstr(esk192_0))).
% 12.82/4.16  cnf(i_0_1214, plain, (boolean_lattstr(esk163_0))).
% 12.82/4.16  cnf(i_0_1176, plain, (distributive_lattstr(esk160_0))).
% 12.82/4.16  cnf(i_0_1219, plain, (distributive_lattstr(esk163_0))).
% 12.82/4.16  cnf(i_0_1200, plain, (complemented_lattstr(esk162_0))).
% 12.82/4.16  cnf(i_0_1215, plain, (complemented_lattstr(esk163_0))).
% 12.82/4.16  cnf(i_0_1175, plain, (modular_lattstr(esk160_0))).
% 12.82/4.16  cnf(i_0_802, plain, (join_semilatt_str(esk138_0))).
% 12.82/4.16  cnf(i_0_797, plain, (meet_semilatt_str(esk133_0))).
% 12.82/4.16  cnf(i_0_799, plain, (top_str(esk135_0))).
% 12.82/4.16  cnf(i_0_1261, plain, (being_limit_ordinal(esk172_0))).
% 12.82/4.16  cnf(i_0_817, plain, (relation_empty_yielding(empty_set))).
% 12.82/4.16  cnf(i_0_1270, plain, (relation_empty_yielding(esk174_0))).
% 12.82/4.16  cnf(i_0_1374, plain, (relation_empty_yielding(esk198_0))).
% 12.82/4.16  cnf(i_0_1382, plain, (relation_empty_yielding(esk201_0))).
% 12.82/4.16  cnf(i_0_3031, lemma, (subset(empty_set,X1))).
% 12.82/4.16  cnf(i_0_1436, plain, (subset(X1,X1))).
% 12.82/4.16  cnf(i_0_2967, lemma, (the_carrier(incl_POSet(X1))=X1)).
% 12.82/4.16  cnf(i_0_722, plain, (rel_str(incl_POSet(X1)))).
% 12.82/4.16  cnf(i_0_723, plain, (strict_rel_str(incl_POSet(X1)))).
% 12.82/4.16  cnf(i_0_531, plain, (being_limit_ordinal(omega))).
% 12.82/4.16  cnf(i_0_327, plain, (set_meet(empty_set)=empty_set)).
% 12.82/4.16  cnf(i_0_3090, lemma, (bottom_of_semilattstr(boole_lattice(X1))=empty_set)).
% 12.82/4.16  cnf(i_0_681, plain, (latt_str(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_682, plain, (strict_latt_str(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_1437, plain, (equipotent(X1,X1))).
% 12.82/4.16  cnf(i_0_1290, plain, (natural(esk180_1(X1)))).
% 12.82/4.16  cnf(i_0_1297, plain, (empty(esk180_1(X1)))).
% 12.82/4.16  cnf(i_0_1336, plain, (empty(esk188_1(X1)))).
% 12.82/4.16  cnf(i_0_1291, plain, (ordinal(esk180_1(X1)))).
% 12.82/4.16  cnf(i_0_1293, plain, (epsilon_transitive(esk180_1(X1)))).
% 12.82/4.16  cnf(i_0_1292, plain, (epsilon_connected(esk180_1(X1)))).
% 12.82/4.16  cnf(i_0_1289, plain, (finite(esk180_1(X1)))).
% 12.82/4.16  cnf(i_0_826, plain, (preboolean(powerset(X1)))).
% 12.82/4.16  cnf(i_0_828, plain, (cup_closed(powerset(X1)))).
% 12.82/4.16  cnf(i_0_827, plain, (diff_closed(powerset(X1)))).
% 12.82/4.16  cnf(i_0_890, plain, (function(identity_relation(X1)))).
% 12.82/4.16  cnf(i_0_1295, plain, (function(esk180_1(X1)))).
% 12.82/4.16  cnf(i_0_1306, plain, (function(esk182_1(X1)))).
% 12.82/4.16  cnf(i_0_2847, lemma, (function(esk453_1(X1)))).
% 12.82/4.16  cnf(i_0_840, plain, (lattice(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_832, plain, (complete_latt_str(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_846, plain, (join_commutative(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_845, plain, (join_associative(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_844, plain, (meet_commutative(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_843, plain, (meet_associative(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_842, plain, (meet_absorbing(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_841, plain, (join_absorbing(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_837, plain, (lower_bounded_semilattstr(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_836, plain, (upper_bounded_semilattstr(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_835, plain, (bounded_lattstr(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_756, plain, (relation(identity_relation(X1)))).
% 12.82/4.16  cnf(i_0_1296, plain, (relation(esk180_1(X1)))).
% 12.82/4.16  cnf(i_0_1307, plain, (relation(esk182_1(X1)))).
% 12.82/4.16  cnf(i_0_1372, plain, (relation(esk197_1(X1)))).
% 12.82/4.16  cnf(i_0_2848, lemma, (relation(esk453_1(X1)))).
% 12.82/4.16  cnf(i_0_3005, lemma, (relation(esk475_1(X1)))).
% 12.82/4.16  cnf(i_0_921, plain, (symmetric(identity_relation(X1)))).
% 12.82/4.16  cnf(i_0_1370, plain, (symmetric(esk197_1(X1)))).
% 12.82/4.16  cnf(i_0_919, plain, (transitive(identity_relation(X1)))).
% 12.82/4.16  cnf(i_0_1368, plain, (transitive(esk197_1(X1)))).
% 12.82/4.16  cnf(i_0_922, plain, (reflexive(identity_relation(X1)))).
% 12.82/4.16  cnf(i_0_1371, plain, (reflexive(esk197_1(X1)))).
% 12.82/4.16  cnf(i_0_1294, plain, (one_to_one(esk180_1(X1)))).
% 12.82/4.16  cnf(i_0_1305, plain, (one_to_one(esk182_1(X1)))).
% 12.82/4.16  cnf(i_0_1065, plain, (reflexive_relstr(incl_POSet(X1)))).
% 12.82/4.16  cnf(i_0_1064, plain, (transitive_relstr(incl_POSet(X1)))).
% 12.82/4.16  cnf(i_0_1063, plain, (antisymmetric_relstr(incl_POSet(X1)))).
% 12.82/4.16  cnf(i_0_833, plain, (boolean_lattstr(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_839, plain, (distributive_lattstr(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_834, plain, (complemented_lattstr(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_838, plain, (modular_lattstr(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_920, plain, (antisymmetric(identity_relation(X1)))).
% 12.82/4.16  cnf(i_0_1369, plain, (antisymmetric(esk197_1(X1)))).
% 12.82/4.16  cnf(i_0_3218, lemma, (relation_dom(identity_relation(X1))=X1)).
% 12.82/4.16  cnf(i_0_2846, lemma, (relation_dom(esk453_1(X1))=X1)).
% 12.82/4.16  cnf(i_0_3217, lemma, (relation_rng(identity_relation(X1))=X1)).
% 12.82/4.16  cnf(i_0_3253, lemma, (union(powerset(X1))=X1)).
% 12.82/4.16  cnf(i_0_3142, plain, (set_difference(empty_set,X1)=empty_set)).
% 12.82/4.16  cnf(i_0_2952, plain, (set_union2(X1,empty_set)=X1)).
% 12.82/4.16  cnf(i_0_3089, plain, (set_difference(X1,empty_set)=X1)).
% 12.82/4.16  cnf(i_0_1121, plain, (set_union2(X1,X1)=X1)).
% 12.82/4.16  cnf(i_0_2968, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))).
% 12.82/4.16  cnf(i_0_2886, lemma, (in(X1,esk457_1(X1)))).
% 12.82/4.16  cnf(i_0_3264, plain, (in(X1,esk500_1(X1)))).
% 12.82/4.16  cnf(i_0_717, plain, (element(X1,powerset(X1)))).
% 12.82/4.16  cnf(i_0_532, plain, (in(empty_set,omega))).
% 12.82/4.16  cnf(i_0_806, plain, (element(esk142_1(X1),X1))).
% 12.82/4.16  cnf(i_0_3004, lemma, (well_orders(esk475_1(X1),X1))).
% 12.82/4.16  cnf(i_0_1091, plain, (with_suprema_relstr(incl_POSet(powerset(X1))))).
% 12.82/4.16  cnf(i_0_695, plain, (relation(the_InternalRel(incl_POSet(X1))))).
% 12.82/4.16  cnf(i_0_700, plain, (transitive(the_InternalRel(incl_POSet(X1))))).
% 12.82/4.16  cnf(i_0_702, plain, (reflexive(the_InternalRel(incl_POSet(X1))))).
% 12.82/4.16  cnf(i_0_1089, plain, (complete_relstr(incl_POSet(powerset(X1))))).
% 12.82/4.16  cnf(i_0_1090, plain, (with_infima_relstr(incl_POSet(powerset(X1))))).
% 12.82/4.16  cnf(i_0_888, plain, (finite(unordered_pair(X1,X2)))).
% 12.82/4.16  cnf(i_0_1092, plain, (bounded_relstr(incl_POSet(powerset(X1))))).
% 12.82/4.16  cnf(i_0_1094, plain, (lower_bounded_relstr(incl_POSet(powerset(X1))))).
% 12.82/4.16  cnf(i_0_1093, plain, (upper_bounded_relstr(incl_POSet(powerset(X1))))).
% 12.82/4.16  cnf(i_0_1240, plain, (function(esk167_2(X1,X2)))).
% 12.82/4.16  cnf(i_0_1331, plain, (function(esk186_2(X1,X2)))).
% 12.82/4.16  cnf(i_0_1241, plain, (relation(esk167_2(X1,X2)))).
% 12.82/4.16  cnf(i_0_1332, plain, (relation(esk186_2(X1,X2)))).
% 12.82/4.16  cnf(i_0_701, plain, (antisymmetric(the_InternalRel(incl_POSet(X1))))).
% 12.82/4.16  cnf(i_0_3231, lemma, (subset(X1,set_union2(X1,X2)))).
% 12.82/4.16  cnf(i_0_3074, lemma, (subset(set_difference(X1,X2),X1))).
% 12.82/4.16  cnf(i_0_2944, lemma, (bottom_of_relstr(incl_POSet(powerset(X1)))=empty_set)).
% 12.82/4.16  cnf(i_0_427, plain, (poset_of_lattice(boole_lattice(X1))=incl_POSet(powerset(X1)))).
% 12.82/4.16  cnf(i_0_1298, plain, (element(esk180_1(X1),powerset(X1)))).
% 12.82/4.16  cnf(i_0_1337, plain, (element(esk188_1(X1),powerset(X1)))).
% 12.82/4.16  cnf(i_0_1339, plain, (element(esk189_1(X1),powerset(X1)))).
% 12.82/4.16  cnf(i_0_1308, plain, (relation_of2(esk182_1(X1),X1,X1))).
% 12.82/4.16  cnf(i_0_1373, plain, (relation_of2(esk197_1(X1),X1,X1))).
% 12.82/4.16  cnf(i_0_754, plain, (v1_partfun1(identity_relation(X1),X1,X1))).
% 12.82/4.16  cnf(i_0_1367, plain, (v1_partfun1(esk197_1(X1),X1,X1))).
% 12.82/4.16  cnf(i_0_1304, plain, (quasi_total(esk182_1(X1),X1,X1))).
% 12.82/4.16  cnf(i_0_1302, plain, (bijective(esk182_1(X1),X1,X1))).
% 12.82/4.16  cnf(i_0_1303, plain, (onto(esk182_1(X1),X1,X1))).
% 12.82/4.16  cnf(i_0_753, plain, (relation_of2_as_subset(identity_relation(X1),X1,X1))).
% 12.82/4.16  cnf(i_0_3024, plain, (set_difference(X1,X1)=empty_set)).
% 12.82/4.16  cnf(i_0_370, plain, (rel_str_of(X1,the_InternalRel(incl_POSet(X1)))=incl_POSet(X1))).
% 12.82/4.16  cnf(i_0_699, plain, (v1_partfun1(the_InternalRel(incl_POSet(X1)),X1,X1))).
% 12.82/4.16  cnf(i_0_698, plain, (relation_of2_as_subset(the_InternalRel(incl_POSet(X1)),X1,X1))).
% 12.82/4.16  cnf(i_0_805, plain, (relation_of2(esk141_2(X1,X2),X1,X2))).
% 12.82/4.16  cnf(i_0_1242, plain, (relation_of2(esk167_2(X1,X2),X1,X2))).
% 12.82/4.16  cnf(i_0_1333, plain, (relation_of2(esk186_2(X1,X2),X1,X2))).
% 12.82/4.16  cnf(i_0_1239, plain, (quasi_total(esk167_2(X1,X2),X1,X2))).
% 12.82/4.16  cnf(i_0_809, plain, (relation_of2_as_subset(esk145_2(X1,X2),X1,X2))).
% 12.82/4.16  cnf(i_0_3085, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))).
% 12.82/4.16  cnf(i_0_3100, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))).
% 12.82/4.16  cnf(i_0_2863, lemma, (in(X1,set_union2(X1,unordered_pair(X1,X1))))).
% 12.82/4.16  cnf(i_0_367, plain, (relation_field(the_InternalRel(incl_POSet(X1)))=X1)).
% 12.82/4.16  cnf(i_0_295, plain, (the_carrier(boole_lattice(X1))=powerset(X1))).
% 12.82/4.16  cnf(i_0_407, plain, (in(X1,unordered_pair(X2,X1)))).
% 12.82/4.16  cnf(i_0_408, plain, (in(X1,unordered_pair(X1,X2)))).
% 12.82/4.16  cnf(i_0_271, plain, (in(X1,unordered_triple(X2,X3,X1)))).
% 12.82/4.16  cnf(i_0_272, plain, (in(X1,unordered_triple(X2,X1,X3)))).
% 12.82/4.16  cnf(i_0_273, plain, (in(X1,unordered_triple(X1,X2,X3)))).
% 12.82/4.16  cnf(i_0_3227, lemma, (pair_first(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X1)).
% 12.82/4.16  cnf(i_0_3226, lemma, (pair_second(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X2)).
% 12.82/4.16  cnf(i_0_153, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 12.82/4.16  cnf(i_0_154, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 12.82/4.16  cnf(i_0_156, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))).
% 12.82/4.16  cnf(i_0_2948, negated_conjecture, (~subset(the_carrier(esk468_0),the_carrier(esk467_0)))).
% 12.82/4.16  cnf(i_0_854, plain, (~empty(omega))).
% 12.82/4.16  cnf(i_0_1234, plain, (~empty(esk164_0))).
% 12.82/4.16  cnf(i_0_1236, plain, (~empty(esk165_0))).
% 12.82/4.16  cnf(i_0_1255, plain, (~empty(esk169_0))).
% 12.82/4.16  cnf(i_0_1335, plain, (~empty(esk187_0))).
% 12.82/4.16  cnf(i_0_1343, plain, (~empty(esk191_0))).
% 12.82/4.16  cnf(i_0_1366, plain, (~empty(esk196_0))).
% 12.82/4.16  cnf(i_0_1185, plain, (~empty_carrier(esk160_0))).
% 12.82/4.16  cnf(i_0_1198, plain, (~empty_carrier(esk161_0))).
% 12.82/4.16  cnf(i_0_1212, plain, (~empty_carrier(esk162_0))).
% 12.82/4.16  cnf(i_0_1228, plain, (~empty_carrier(esk163_0))).
% 12.82/4.16  cnf(i_0_1248, plain, (~empty_carrier(esk168_0))).
% 12.82/4.16  cnf(i_0_1287, plain, (~empty_carrier(esk179_0))).
% 12.82/4.16  cnf(i_0_1316, plain, (~empty_carrier(esk183_0))).
% 12.82/4.16  cnf(i_0_1322, plain, (~empty_carrier(esk184_0))).
% 12.82/4.16  cnf(i_0_1353, plain, (~empty_carrier(esk192_0))).
% 12.82/4.16  cnf(i_0_1376, plain, (~empty_carrier(esk199_0))).
% 12.82/4.16  cnf(i_0_1387, plain, (~empty_carrier(esk203_0))).
% 12.82/4.16  cnf(i_0_1402, plain, (~empty_carrier(esk206_0))).
% 12.82/4.16  cnf(i_0_1128, plain, (~proper_subset(X1,X1))).
% 12.82/4.16  cnf(i_0_829, plain, (~empty(powerset(X1)))).
% 12.82/4.16  cnf(i_0_848, plain, (~empty_carrier(boole_lattice(X1)))).
% 12.82/4.16  cnf(i_0_386, plain, (~centered(empty_set))).
% 12.82/4.16  cnf(i_0_1132, lemma, (unordered_pair(X1,X1)!=empty_set)).
% 12.82/4.16  cnf(i_0_889, plain, (~empty(unordered_pair(X1,X2)))).
% 12.82/4.16  cnf(i_0_1086, plain, (~empty_carrier(incl_POSet(powerset(X1))))).
% 12.82/4.16  cnf(i_0_369, plain, (~in(X1,empty_set))).
% 12.82/4.16  cnf(i_0_1338, plain, (~proper_element(esk189_1(X1),powerset(X1)))).
% 12.82/4.16  cnf(i_0_853, plain, (~empty(set_union2(X1,unordered_pair(X1,X1))))).
% 12.82/4.16  cnf(i_0_3184, lemma, (~proper_element(X1,powerset(X1)))).
% 12.82/4.16  cnf(i_0_63, plain, (v4_membered(X1)|~v5_membered(X1))).
% 12.82/4.16  cnf(i_0_68, plain, (relation(X1)|~empty(X1))).
% 12.82/4.16  cnf(i_0_772, plain, (one_sorted_str(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_776, plain, (one_sorted_str(X1)|~join_semilatt_str(X1))).
% 12.82/4.16  cnf(i_0_771, plain, (one_sorted_str(X1)|~meet_semilatt_str(X1))).
% 12.82/4.16  cnf(i_0_773, plain, (one_sorted_str(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_55, plain, (~with_suprema_relstr(X1)|~empty_carrier(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_91, plain, (~with_infima_relstr(X1)|~empty_carrier(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_3191, lemma, (~subset(X1,X2)|~proper_subset(X2,X1))).
% 12.82/4.16  cnf(i_0_3223, plain, (~empty(X1)|~in(X2,X1))).
% 12.82/4.16  cnf(i_0_3296, plain, (epred1_0|esk502_0!=empty_set|esk506_0!=empty_set)).
% 12.82/4.16  cnf(i_0_3207, plain, (X1=empty_set|~empty(X1))).
% 12.82/4.16  cnf(i_0_3301, plain, (epred1_0|ordinal(esk504_0)|esk502_0!=empty_set)).
% 12.82/4.16  cnf(i_0_124, plain, (v1_membered(X1)|~v2_membered(X1))).
% 12.82/4.16  cnf(i_0_24, plain, (v1_membered(X1)|~empty(X1))).
% 12.82/4.16  cnf(i_0_110, plain, (v2_membered(X1)|~v3_membered(X1))).
% 12.82/4.16  cnf(i_0_3099, lemma, (X1=empty_set|~subset(X1,empty_set))).
% 12.82/4.16  cnf(i_0_23, plain, (v2_membered(X1)|~empty(X1))).
% 12.82/4.16  cnf(i_0_94, plain, (v3_membered(X1)|~v4_membered(X1))).
% 12.82/4.16  cnf(i_0_22, plain, (v3_membered(X1)|~empty(X1))).
% 12.82/4.16  cnf(i_0_21, plain, (v4_membered(X1)|~empty(X1))).
% 12.82/4.16  cnf(i_0_20, plain, (v5_membered(X1)|~empty(X1))).
% 12.82/4.16  cnf(i_0_111, plain, (ordinal(X1)|~empty(X1))).
% 12.82/4.16  cnf(i_0_113, plain, (epsilon_transitive(X1)|~empty(X1))).
% 12.82/4.16  cnf(i_0_65, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_112, plain, (epsilon_connected(X1)|~empty(X1))).
% 12.82/4.16  cnf(i_0_64, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_38, plain, (finite(X1)|~empty(X1))).
% 12.82/4.16  cnf(i_0_40, plain, (cup_closed(X1)|~preboolean(X1))).
% 12.82/4.16  cnf(i_0_39, plain, (diff_closed(X1)|~preboolean(X1))).
% 12.82/4.16  cnf(i_0_41, plain, (function(X1)|~empty(X1))).
% 12.82/4.16  cnf(i_0_777, plain, (join_semilatt_str(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_778, plain, (meet_semilatt_str(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_3, plain, (~in(X1,X2)|~in(X2,X1))).
% 12.82/4.16  cnf(i_0_4, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))).
% 12.82/4.16  cnf(i_0_549, plain, (being_limit_ordinal(X1)|union(X1)!=X1)).
% 12.82/4.16  cnf(i_0_1274, plain, (empty(X1)|~empty(esk176_1(X1)))).
% 12.82/4.16  cnf(i_0_1356, plain, (empty(X1)|~empty(esk193_1(X1)))).
% 12.82/4.16  cnf(i_0_1379, plain, (empty(X1)|~empty(esk200_1(X1)))).
% 12.82/4.16  cnf(i_0_1079, plain, (empty(X1)|~empty_carrier(incl_POSet(X1)))).
% 12.82/4.16  cnf(i_0_95, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 12.82/4.16  cnf(i_0_83, plain, (preboolean(X1)|~diff_closed(X1)|~cup_closed(X1))).
% 12.82/4.16  cnf(i_0_500, plain, (transitive(X1)|~well_ordering(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_501, plain, (reflexive(X1)|~well_ordering(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_126, plain, (lower_bounded_relstr(X1)|~bounded_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_499, plain, (antisymmetric(X1)|~well_ordering(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_101, plain, (natural(X1)|~element(X1,omega))).
% 12.82/4.16  cnf(i_0_102, plain, (ordinal(X1)|~element(X1,omega))).
% 12.82/4.16  cnf(i_0_104, plain, (epsilon_transitive(X1)|~element(X1,omega))).
% 12.82/4.16  cnf(i_0_103, plain, (epsilon_connected(X1)|~element(X1,omega))).
% 12.82/4.16  cnf(i_0_448, plain, (epsilon_connected(X1)|esk79_1(X1)!=esk78_1(X1))).
% 12.82/4.16  cnf(i_0_280, plain, (function(X1)|esk34_1(X1)!=esk33_1(X1))).
% 12.82/4.16  cnf(i_0_633, plain, (subset(X1,X2)|~proper_subset(X1,X2))).
% 12.82/4.16  cnf(i_0_1429, plain, (equipotent(X1,X2)|~are_equipotent(X1,X2))).
% 12.82/4.16  cnf(i_0_395, plain, (empty_carrier_subset(X1)=empty_set|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_453, plain, (cast_as_carrier_subset(X1)=the_carrier(X1)|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_335, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(the_carrier(X1)))).
% 12.82/4.16  cnf(i_0_3329, plain, (X1=X2|~epred2_3(X3,X2,X1))).
% 12.82/4.16  cnf(i_0_3324, plain, (X1=X2|~epred2_3(X2,X3,X1))).
% 12.82/4.16  cnf(i_0_78, plain, (natural(X1)|~empty(X1))).
% 12.82/4.16  cnf(i_0_775, plain, (rel_str(X1)|~net_str(X1,X2)|~one_sorted_str(X2))).
% 12.82/4.16  cnf(i_0_392, plain, (epsilon_transitive(X1)|~subset(esk63_1(X1),X1))).
% 12.82/4.16  cnf(i_0_550, plain, (union(X1)=X1|~being_limit_ordinal(X1))).
% 12.82/4.16  cnf(i_0_125, plain, (upper_bounded_relstr(X1)|~bounded_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_498, plain, (connected(X1)|~well_ordering(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_497, plain, (well_founded_relation(X1)|~well_ordering(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_862, plain, (v1_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_861, plain, (v2_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_860, plain, (v3_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_859, plain, (v4_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_384, plain, (X1=empty_set|centered(X1)|esk60_1(X1)!=empty_set)).
% 12.82/4.16  cnf(i_0_2495, lemma, (ordinal(X1)|~in(X1,esk414_1(X2)))).
% 12.82/4.16  cnf(i_0_1006, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 12.82/4.16  cnf(i_0_929, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 12.82/4.16  cnf(i_0_1134, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 12.82/4.16  cnf(i_0_858, plain, (v5_membered(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_863, plain, (empty(empty_carrier_subset(X1))|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_761, plain, (function(identity_on_carrier(X1))|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_336, plain, (empty(the_carrier(X1))|~one_sorted_str(X1)|~empty_carrier(X1))).
% 12.82/4.16  cnf(i_0_782, plain, (rel_str(X1)|~subrelstr(X1,X2)|~rel_str(X2))).
% 12.82/4.16  cnf(i_0_3333, plain, (transitive(X1)|~epred3_2(X1,X2)|~transitive(X2))).
% 12.82/4.16  cnf(i_0_3334, plain, (reflexive(X1)|~epred3_2(X1,X2)|~reflexive(X2))).
% 12.82/4.16  cnf(i_0_3331, plain, (antisymmetric(X1)|~epred3_2(X1,X2)|~antisymmetric(X2))).
% 12.82/4.16  cnf(i_0_801, plain, (net_str(esk137_1(X1),X1)|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_1146, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)).
% 12.82/4.16  cnf(i_0_175, plain, (identity_on_carrier(X1)=identity_relation(the_carrier(X1))|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_3332, plain, (connected(X1)|~epred3_2(X1,X2)|~connected(X2))).
% 12.82/4.16  cnf(i_0_3330, plain, (well_founded_relation(X1)|~epred3_2(X1,X2)|~well_founded_relation(X2))).
% 12.82/4.16  cnf(i_0_411, plain, (~proper_element(union(X1),X1)|~element(union(X1),X1))).
% 12.82/4.16  cnf(i_0_925, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(cast_as_carrier_subset(X1)))).
% 12.82/4.16  cnf(i_0_1384, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(esk202_1(X1)))).
% 12.82/4.16  cnf(i_0_1355, plain, (finite(esk193_1(X1))|empty(X1))).
% 12.82/4.16  cnf(i_0_417, plain, (well_founded_relation(X1)|esk69_1(X1)!=empty_set|~relation(X1))).
% 12.82/4.16  cnf(i_0_1062, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 12.82/4.16  cnf(i_0_1073, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 12.82/4.16  cnf(i_0_66, plain, (reflexive(X1)|~transitive(X1)|~symmetric(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_3094, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_1081, plain, (empty(relation_dom(X1))|~empty(X1))).
% 12.82/4.16  cnf(i_0_1088, plain, (empty(relation_rng(X1))|~empty(X1))).
% 12.82/4.16  cnf(i_0_815, plain, (empty(relation_inverse(X1))|~empty(X1))).
% 12.82/4.16  cnf(i_0_1378, plain, (finite(esk200_1(X1))|empty(X1))).
% 12.82/4.16  cnf(i_0_136, plain, (bounded_relstr(X1)|~upper_bounded_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_2955, plain, (element(X1,X2)|~in(X1,X2))).
% 12.82/4.16  cnf(i_0_1430, plain, (are_equipotent(X1,X2)|~equipotent(X1,X2))).
% 12.82/4.16  cnf(i_0_1036, plain, (ordinal(union(X1))|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_1038, plain, (epsilon_transitive(union(X1))|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_1037, plain, (epsilon_connected(union(X1))|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_796, plain, (function(the_L_join(X1))|~join_semilatt_str(X1))).
% 12.82/4.16  cnf(i_0_1148, lemma, (antisymmetric(X1)|esk156_1(X1)!=esk155_1(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_1157, lemma, (connected(X1)|esk158_1(X1)!=esk157_1(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_3201, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))).
% 12.82/4.16  cnf(i_0_787, plain, (function(the_L_meet(X1))|~meet_semilatt_str(X1))).
% 12.82/4.16  cnf(i_0_278, plain, (function(esk31_1(X1))|~finite(X1))).
% 12.82/4.16  cnf(i_0_1080, plain, (relation(relation_dom(X1))|~empty(X1))).
% 12.82/4.16  cnf(i_0_1087, plain, (relation(relation_rng(X1))|~empty(X1))).
% 12.82/4.16  cnf(i_0_814, plain, (relation(relation_inverse(X1))|~empty(X1))).
% 12.82/4.16  cnf(i_0_741, plain, (relation(relation_inverse(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_279, plain, (relation(esk31_1(X1))|~finite(X1))).
% 12.82/4.16  cnf(i_0_2496, lemma, (in(X1,X2)|~in(X1,esk414_1(X2)))).
% 12.82/4.16  cnf(i_0_1515, lemma, (function(esk218_1(X1))|esk217_1(X1)!=esk216_1(X1))).
% 12.82/4.16  cnf(i_0_3197, lemma, (X1=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 12.82/4.16  cnf(i_0_3196, lemma, (X1=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 12.82/4.16  cnf(i_0_1516, lemma, (relation(esk218_1(X1))|esk217_1(X1)!=esk216_1(X1))).
% 12.82/4.16  cnf(i_0_3233, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))).
% 12.82/4.16  cnf(i_0_545, plain, (is_transitive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_449, plain, (epsilon_connected(X1)|~in(esk78_1(X1),esk79_1(X1)))).
% 12.82/4.16  cnf(i_0_447, plain, (epsilon_connected(X1)|~in(esk79_1(X1),esk78_1(X1)))).
% 12.82/4.16  cnf(i_0_84, plain, (one_to_one(X1)|~empty(X1))).
% 12.82/4.16  cnf(i_0_3238, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 12.82/4.16  cnf(i_0_3093, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 12.82/4.16  cnf(i_0_381, plain, (set_meet(esk60_1(X1))=empty_set|X1=empty_set|centered(X1))).
% 12.82/4.16  cnf(i_0_258, plain, (transitive(X1)|~is_transitive_in(X1,relation_field(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_662, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_202, plain, (antisymmetric(X1)|~is_antisymmetric_in(X1,relation_field(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_246, plain, (connected(X1)|~is_connected_in(X1,relation_field(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_167, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 12.82/4.16  cnf(i_0_3198, lemma, (relation_dom(X1)=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 12.82/4.16  cnf(i_0_1164, lemma, (subset(X1,union(X2))|~in(X1,X2))).
% 12.82/4.16  cnf(i_0_382, plain, (X1=empty_set|centered(X1)|finite(esk60_1(X1)))).
% 12.82/4.16  cnf(i_0_277, plain, (relation_rng(esk31_1(X1))=X1|~finite(X1))).
% 12.82/4.16  cnf(i_0_3186, lemma, (well_founded_relation(X1)|~is_well_founded_in(X1,relation_field(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_3245, lemma, (well_ordering(X1)|~well_orders(X1,relation_field(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_3232, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)).
% 12.82/4.16  cnf(i_0_1126, plain, (relation_inverse(relation_inverse(X1))=X1|~relation(X1))).
% 12.82/4.16  cnf(i_0_3293, plain, (epred1_0|esk502_0!=empty_set|esk507_1(X1)!=X1|~in(X1,esk506_0))).
% 12.82/4.16  cnf(i_0_3269, plain, (epred1_0|esk506_0!=empty_set|esk503_1(X1)!=X1|~in(X1,esk502_0))).
% 12.82/4.16  cnf(i_0_1145, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))).
% 12.82/4.16  cnf(i_0_3199, lemma, (relation_rng(X1)=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 12.82/4.16  cnf(i_0_2340, plain, (ordinal(X1)|esk366_0!=esk365_0|~in(X1,esk367_1(X2)))).
% 12.82/4.16  cnf(i_0_2858, plain, (disjoint(X1,X2)|~disjoint(X2,X1))).
% 12.82/4.16  cnf(i_0_2882, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))).
% 12.82/4.16  cnf(i_0_3082, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))).
% 12.82/4.16  cnf(i_0_3083, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))).
% 12.82/4.16  cnf(i_0_3011, lemma, (esk476_1(X1)=empty_set|function(esk477_1(X1))|empty(X1))).
% 12.82/4.16  cnf(i_0_2859, plain, (equipotent(X1,X2)|~equipotent(X2,X1))).
% 12.82/4.16  cnf(i_0_3092, lemma, (~in(X1,X2)|~in(X3,X1)|~in(X2,X3))).
% 12.82/4.16  cnf(i_0_3096, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))).
% 12.82/4.16  cnf(i_0_1426, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 12.82/4.16  cnf(i_0_457, plain, (subset(X1,X2)|~in(esk82_2(X1,X2),X2))).
% 12.82/4.16  cnf(i_0_2880, lemma, (subset(relation_dom(X1),X2)|~relation_of2_as_subset(X1,X2,X3))).
% 12.82/4.16  cnf(i_0_2879, lemma, (subset(relation_rng(X1),X2)|~relation_of2_as_subset(X1,X3,X2))).
% 12.82/4.16  cnf(i_0_3012, lemma, (esk476_1(X1)=empty_set|relation(esk477_1(X1))|empty(X1))).
% 12.82/4.16  cnf(i_0_877, plain, (empty_carrier(X1)|~lattice(X1)|~empty_carrier(poset_of_lattice(X1))|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_1392, plain, (empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|~empty(esk205_1(X1)))).
% 12.82/4.16  cnf(i_0_3228, plain, (~in(X1,esk499_2(X2,X3))|~in(X2,X3)|~in(X1,X3))).
% 12.82/4.16  cnf(i_0_3050, lemma, (ordinal(X1)|~subset(esk480_1(X1),X1)|~ordinal(esk480_1(X1)))).
% 12.82/4.16  cnf(i_0_2892, lemma, (finite(X1)|~subset(X1,X2)|~finite(X2))).
% 12.82/4.16  cnf(i_0_705, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_706, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_3010, lemma, (relation_dom(esk477_1(X1))=X1|esk476_1(X1)=empty_set|empty(X1))).
% 12.82/4.16  cnf(i_0_122, plain, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|~bounded_lattstr(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_133, plain, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|~boolean_lattstr(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_121, plain, (upper_bounded_semilattstr(X1)|empty_carrier(X1)|~bounded_lattstr(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_132, plain, (upper_bounded_semilattstr(X1)|empty_carrier(X1)|~boolean_lattstr(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_394, plain, (subset(X1,X2)|~epsilon_transitive(X2)|~in(X1,X2))).
% 12.82/4.16  cnf(i_0_187, plain, (bottom_of_relstr(X1)=join_on_relstr(X1,empty_set)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_807, plain, (subrelstr(esk143_1(X1),X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_3144, lemma, (connected(the_InternalRel(incl_POSet(X1)))|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_3075, lemma, (relation_rng(relation_inverse(X1))=relation_dom(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_131, plain, (bounded_lattstr(X1)|empty_carrier(X1)|~boolean_lattstr(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_71, plain, (with_suprema_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_134, plain, (distributive_lattstr(X1)|empty_carrier(X1)|~boolean_lattstr(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_69, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 12.82/4.16  cnf(i_0_3209, lemma, (well_founded_relation(the_InternalRel(incl_POSet(X1)))|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_3230, lemma, (well_ordering(the_InternalRel(incl_POSet(X1)))|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_964, plain, (v1_membered(set_difference(X1,X2))|~v1_membered(X1))).
% 12.82/4.16  cnf(i_0_966, plain, (v1_membered(set_difference(X1,X2))|~v2_membered(X1))).
% 12.82/4.16  cnf(i_0_3076, lemma, (relation_dom(relation_inverse(X1))=relation_rng(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_3145, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))).
% 12.82/4.16  cnf(i_0_5, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v1_membered(X2))).
% 12.82/4.16  cnf(i_0_7, plain, (v1_xcmplx_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_368, plain, (X1=empty_set|in(esk57_1(X1),X1))).
% 12.82/4.16  cnf(i_0_969, plain, (v1_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 12.82/4.16  cnf(i_0_1018, plain, (v1_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 12.82/4.16  cnf(i_0_1023, plain, (v1_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 12.82/4.16  cnf(i_0_965, plain, (v2_membered(set_difference(X1,X2))|~v2_membered(X1))).
% 12.82/4.16  cnf(i_0_3103, lemma, (being_limit_ordinal(X1)|ordinal(esk485_1(X1))|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_10, plain, (v1_xcmplx_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_14, plain, (v1_xcmplx_0(X1)|~v4_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_19, plain, (v1_xcmplx_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_6, plain, (v1_xreal_0(X1)|~v2_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_968, plain, (v2_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 12.82/4.16  cnf(i_0_1017, plain, (v2_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 12.82/4.16  cnf(i_0_1022, plain, (v2_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 12.82/4.16  cnf(i_0_967, plain, (v3_membered(set_difference(X1,X2))|~v3_membered(X1))).
% 12.82/4.16  cnf(i_0_3107, lemma, (being_limit_ordinal(X1)|ordinal(esk486_1(X1))|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_3051, lemma, (ordinal(X1)|in(esk480_1(X1),X1))).
% 12.82/4.16  cnf(i_0_9, plain, (v1_xreal_0(X1)|~v3_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_13, plain, (v1_xreal_0(X1)|~v4_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_17, plain, (v1_xreal_0(X1)|~v5_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_8, plain, (v1_rat_1(X1)|~v3_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_393, plain, (epsilon_transitive(X1)|in(esk63_1(X1),X1))).
% 12.82/4.16  cnf(i_0_1016, plain, (v3_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 12.82/4.16  cnf(i_0_1021, plain, (v3_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 12.82/4.16  cnf(i_0_1015, plain, (v4_membered(set_difference(X1,X2))|~v4_membered(X1))).
% 12.82/4.16  cnf(i_0_1020, plain, (v4_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 12.82/4.16  cnf(i_0_61, plain, (join_commutative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_451, plain, (epsilon_connected(X1)|in(esk78_1(X1),X1))).
% 12.82/4.16  cnf(i_0_11, plain, (v1_rat_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_15, plain, (v1_rat_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_12, plain, (v1_int_1(X1)|~v4_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_16, plain, (v1_int_1(X1)|~v5_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_450, plain, (epsilon_connected(X1)|in(esk79_1(X1),X1))).
% 12.82/4.16  cnf(i_0_1019, plain, (v5_membered(set_difference(X1,X2))|~v5_membered(X1))).
% 12.82/4.16  cnf(i_0_816, plain, (finite(set_difference(X1,X2))|~finite(X1))).
% 12.82/4.16  cnf(i_0_762, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1))).
% 12.82/4.16  cnf(i_0_767, plain, (relation(relation_rng_restriction(X1,X2))|~relation(X2))).
% 12.82/4.16  cnf(i_0_60, plain, (join_associative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_320, plain, (relation(X1)|in(esk44_1(X1),X1))).
% 12.82/4.16  cnf(i_0_18, plain, (natural(X1)|~v5_membered(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_401, plain, (empty(X1)|~empty(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_2988, lemma, (ordinal(X1)|~ordinal(X2)|~in(X1,X2))).
% 12.82/4.16  cnf(i_0_35, plain, (ordinal(X1)|~ordinal(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_719, plain, (relation(relation_restriction(X1,X2))|~relation(X1))).
% 12.82/4.16  cnf(i_0_783, plain, (net_str(X1,X2)|~subnetstr(X1,X2,X3)|~net_str(X3,X2)|~one_sorted_str(X2))).
% 12.82/4.16  cnf(i_0_2965, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))).
% 12.82/4.16  cnf(i_0_59, plain, (meet_commutative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_37, plain, (epsilon_transitive(X1)|~ordinal(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_36, plain, (epsilon_connected(X1)|~ordinal(X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_544, plain, (is_antisymmetric_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_543, plain, (is_connected_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_523, plain, (transitive_relstr(X1)|~is_transitive_in(the_InternalRel(X1),the_carrier(X1))|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_547, plain, (antisymmetric_relstr(X1)|~is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_736, plain, (element(bottom_of_relstr(X1),the_carrier(X1))|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_3237, lemma, (subset(relation_dom_restriction(X1,X2),X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_58, plain, (meet_associative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_546, plain, (is_reflexive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_542, plain, (is_well_founded_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_3182, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))).
% 12.82/4.16  cnf(i_0_1435, plain, (ordinal_subset(X1,X1)|~ordinal(X2)|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_2871, lemma, (subset(relation_rng_restriction(X1,X2),X2)|~relation(X2))).
% 12.82/4.16  cnf(i_0_2356, plain, (esk364_0=esk365_0|ordinal(X1)|~in(X1,esk367_1(X2)))).
% 12.82/4.16  cnf(i_0_2348, plain, (esk364_0=esk366_0|ordinal(X1)|~in(X1,esk367_1(X2)))).
% 12.82/4.16  cnf(i_0_3274, plain, (epred1_0|ordinal(esk504_0)|esk503_1(X1)!=X1|~in(X1,esk502_0))).
% 12.82/4.16  cnf(i_0_57, plain, (meet_absorbing(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_597, plain, (one_to_one(X1)|esk115_1(X1)!=esk114_1(X1)|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_461, plain, (is_well_founded_in(X1,X2)|esk84_2(X1,X2)!=empty_set|~relation(X1))).
% 12.82/4.16  cnf(i_0_3265, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))).
% 12.82/4.16  cnf(i_0_3247, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))).
% 12.82/4.16  cnf(i_0_56, plain, (join_absorbing(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_70, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_114, plain, (bounded_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_130, plain, (complemented_lattstr(X1)|empty_carrier(X1)|~boolean_lattstr(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_383, plain, (X1=empty_set|centered(X1)|subset(esk60_1(X1),X1))).
% 12.82/4.16  cnf(i_0_2977, lemma, (in(X1,X2)|~epsilon_transitive(X1)|~ordinal(X2)|~proper_subset(X1,X2))).
% 12.82/4.16  cnf(i_0_1428, plain, (subset(X1,X2)|~ordinal_subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_1041, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 12.82/4.16  cnf(i_0_3172, lemma, (~element(X1,powerset(X2))|~in(X3,subset_complement(X2,X1))|~in(X3,X1))).
% 12.82/4.16  cnf(i_0_631, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))).
% 12.82/4.16  cnf(i_0_506, plain, (function(esk94_2(X1,X2))|~equipotent(X1,X2))).
% 12.82/4.16  cnf(i_0_507, plain, (relation(esk94_2(X1,X2))|~equipotent(X1,X2))).
% 12.82/4.16  cnf(i_0_505, plain, (one_to_one(esk94_2(X1,X2))|~equipotent(X1,X2))).
% 12.82/4.16  cnf(i_0_3305, plain, (epred1_0|element(esk502_0,powerset(powerset(empty_set)))|esk506_0!=empty_set)).
% 12.82/4.16  cnf(i_0_400, plain, (element(X1,X2)|~empty(X2)|~empty(X1))).
% 12.82/4.16  cnf(i_0_3215, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))).
% 12.82/4.16  cnf(i_0_239, plain, (subset(the_carrier(X1),the_carrier(X2))|~subrelstr(X1,X2)|~rel_str(X2))).
% 12.82/4.16  cnf(i_0_2352, plain, (ordinal(esk365_0)|ordinal(X1)|~in(X1,esk367_1(X2)))).
% 12.82/4.16  cnf(i_0_2344, plain, (ordinal(esk366_0)|ordinal(X1)|~in(X1,esk367_1(X2)))).
% 12.82/4.16  cnf(i_0_1411, plain, (relation_of_lattice(X1)=k2_lattice3(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_1425, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 12.82/4.16  cnf(i_0_576, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)).
% 12.82/4.16  cnf(i_0_512, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))).
% 12.82/4.16  cnf(i_0_1526, lemma, (relation(esk218_1(X1))|in(esk215_1(X1),X1))).
% 12.82/4.16  cnf(i_0_326, plain, (subset(X1,cartesian_product2(X2,X3))|~relation_of2(X1,X2,X3))).
% 12.82/4.16  cnf(i_0_1141, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 12.82/4.16  cnf(i_0_793, plain, (function(the_mapping(X1,X2))|~net_str(X2,X1)|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_596, plain, (relation_of_lattice(X1)=a_1_0_filter_1(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_483, plain, (is_antisymmetric_in(X1,X2)|esk90_2(X1,X2)!=esk89_2(X1,X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_556, plain, (is_connected_in(X1,X2)|esk105_2(X1,X2)!=esk104_2(X1,X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_2926, lemma, (in(X1,X2)|~relation(X2)|~in(X1,relation_restriction(X2,X3)))).
% 12.82/4.16  cnf(i_0_1407, plain, (relation_restriction_as_relation_of(X1,X2)=relation_restriction(X1,X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_687, plain, (element(empty_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_714, plain, (element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_760, plain, (quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_759, plain, (relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_3310, plain, (epred1_0|ordinal(esk504_0)|element(esk502_0,powerset(powerset(empty_set))))).
% 12.82/4.16  cnf(i_0_970, plain, (function(relation_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_3194, lemma, (one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_1427, plain, (ordinal_subset(X1,X2)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_725, plain, (empty_carrier(X1)|rel_str(poset_of_lattice(X1))|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_1275, plain, (empty(X1)|element(esk176_1(X1),powerset(X1)))).
% 12.82/4.16  cnf(i_0_96, plain, (complete_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_98, plain, (transitive_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_97, plain, (antisymmetric_relstr(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_1357, plain, (empty(X1)|element(esk193_1(X1),powerset(X1)))).
% 12.82/4.16  cnf(i_0_203, plain, (is_antisymmetric_in(X1,relation_field(X1))|~antisymmetric(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_247, plain, (is_connected_in(X1,relation_field(X1))|~connected(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_259, plain, (is_transitive_in(X1,relation_field(X1))|~transitive(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_729, plain, (empty_carrier(X1)|strict_rel_str(poset_of_lattice(X1))|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_1380, plain, (empty(X1)|element(esk200_1(X1),powerset(X1)))).
% 12.82/4.16  cnf(i_0_25, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v1_membered(X2))).
% 12.82/4.16  cnf(i_0_27, plain, (v1_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_30, plain, (v1_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_34, plain, (v1_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_2904, lemma, (relation_image(X1,relation_dom(X1))=relation_rng(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_663, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_3187, lemma, (is_well_founded_in(X1,relation_field(X1))|~well_founded_relation(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_3244, lemma, (well_orders(X1,relation_field(X1))|~well_ordering(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_1276, plain, (open_subset(esk177_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_276, plain, (in(relation_dom(esk31_1(X1)),omega)|~finite(X1))).
% 12.82/4.16  cnf(i_0_77, plain, (v1_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_26, plain, (v2_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_29, plain, (v2_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_33, plain, (v2_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_3073, lemma, (apply(identity_relation(X1),X2)=X2|~in(X2,X1))).
% 12.82/4.16  cnf(i_0_1341, plain, (open_subset(esk190_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_1061, plain, (closed_subset(cast_as_carrier_subset(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_1340, plain, (closed_subset(esk190_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_1389, plain, (closed_subset(esk204_1(X1),X1)|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_504, plain, (relation_dom(esk94_2(X1,X2))=X1|~equipotent(X1,X2))).
% 12.82/4.16  cnf(i_0_76, plain, (v2_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_28, plain, (v3_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_32, plain, (v3_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_75, plain, (v3_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_503, plain, (relation_rng(esk94_2(X1,X2))=X2|~equipotent(X1,X2))).
% 12.82/4.16  cnf(i_0_812, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 12.82/4.16  cnf(i_0_1102, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 12.82/4.16  cnf(i_0_823, plain, (finite(cartesian_product2(X1,X2))|~finite(X2)|~finite(X1))).
% 12.82/4.16  cnf(i_0_1100, plain, (finite(set_union2(X1,X2))|~finite(X2)|~finite(X1))).
% 12.82/4.16  cnf(i_0_31, plain, (v4_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_74, plain, (v4_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_73, plain, (v5_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_82, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_1024, plain, (function(relation_dom_restriction(X1,X2))|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_1054, plain, (function(relation_rng_restriction(X1,X2))|~relation(X2)|~function(X2))).
% 12.82/4.16  cnf(i_0_926, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_458, plain, (subset(X1,X2)|in(esk82_2(X1,X2),X1))).
% 12.82/4.16  cnf(i_0_1168, lemma, (element(X1,powerset(X2))|~in(esk159_2(X1,X2),X2))).
% 12.82/4.16  cnf(i_0_852, plain, (empty(X1)|~empty_carrier(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 12.82/4.16  cnf(i_0_325, plain, (relation_of2(X1,X2,X3)|~subset(X1,cartesian_product2(X2,X3)))).
% 12.82/4.16  cnf(i_0_403, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 12.82/4.16  cnf(i_0_1003, plain, (relation(set_difference(X1,X2))|~relation(X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_811, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 12.82/4.16  cnf(i_0_1101, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 12.82/4.16  cnf(i_0_721, plain, (element(meet_on_relstr(X1,X2),the_carrier(X1))|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_360, plain, (~relation(X1)|~in(X2,fiber(X1,X2)))).
% 12.82/4.16  cnf(i_0_697, plain, (element(join_on_relstr(X1,X2),the_carrier(X1))|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_749, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_2994, lemma, (transitive(relation_restriction(X1,X2))|~transitive(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_2985, lemma, (reflexive(relation_restriction(X1,X2))|~reflexive(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_2998, lemma, (antisymmetric(relation_restriction(X1,X2))|~antisymmetric(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_2900, lemma, (subset(relation_image(X1,X2),relation_rng(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_2920, lemma, (subset(relation_inverse_image(X1,X2),relation_dom(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_2992, lemma, (connected(relation_restriction(X1,X2))|~connected(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_3052, lemma, (well_founded_relation(relation_restriction(X1,X2))|~well_founded_relation(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_3058, lemma, (well_ordering(relation_restriction(X1,X2))|~well_ordering(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_821, plain, (relation_empty_yielding(relation_dom_restriction(X1,X2))|~relation_empty_yielding(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_872, plain, (with_suprema_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_2971, lemma, (subset(relation_field(relation_restriction(X1,X2)),X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_46, plain, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_45, plain, (upper_bounded_semilattstr(X1)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_2870, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),X1)|~relation(X2))).
% 12.82/4.16  cnf(i_0_3278, plain, (epred1_0|subset(X1,esk503_1(X1))|esk506_0!=empty_set|~in(X1,esk502_0))).
% 12.82/4.16  cnf(i_0_3294, plain, (epred1_0|subset(X1,esk507_1(X1))|esk502_0!=empty_set|~in(X1,esk506_0))).
% 12.82/4.16  cnf(i_0_896, plain, (relation(the_L_join(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_commutative(X1))).
% 12.82/4.16  cnf(i_0_438, plain, (is_a_cover_of_carrier(X1,esk77_1(X1))|compact_top_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_44, plain, (bounded_lattstr(X1)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_108, plain, (bounded_lattstr(X1)|empty_carrier(X1)|~upper_bounded_semilattstr(X1)|~lower_bounded_semilattstr(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_143, plain, (modular_lattstr(X1)|empty_carrier(X1)|~distributive_lattstr(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_437, plain, (compact_top_space(X1)|open_subsets(esk77_1(X1),X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_318, plain, (in(the_carrier(X1),the_topology(X1))|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_516, plain, (element(esk96_1(X1),the_carrier(X1))|~lower_bounded_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_548, plain, (is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))|~antisymmetric_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_524, plain, (is_transitive_in(the_InternalRel(X1),the_carrier(X1))|~transitive_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_3105, lemma, (~being_limit_ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_3102, lemma, (being_limit_ordinal(X1)|in(esk485_1(X1),X1)|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_2865, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2))))).
% 12.82/4.16  cnf(i_0_3236, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_dom(relation_dom_restriction(X3,X2))))).
% 12.82/4.16  cnf(i_0_2945, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_field(relation_restriction(X3,X2))))).
% 12.82/4.16  cnf(i_0_3251, lemma, (relation_composition(identity_relation(X1),X2)=relation_dom_restriction(X2,X1)|~relation(X2))).
% 12.82/4.16  cnf(i_0_655, plain, (relation_inverse(X1)=function_inverse(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_3246, lemma, (subset(set_union2(X1,X2),X3)|~subset(X2,X3)|~subset(X1,X3))).
% 12.82/4.16  cnf(i_0_2933, lemma, (X1=empty_set|relation_inverse_image(X2,X1)!=empty_set|~subset(X1,relation_rng(X2))|~relation(X2))).
% 12.82/4.16  cnf(i_0_788, plain, (relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_976, plain, (relation(the_L_join(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_associative(X1))).
% 12.82/4.16  cnf(i_0_410, plain, (X1=union(X2)|proper_element(X1,X2)|~element(X1,X2))).
% 12.82/4.16  cnf(i_0_2869, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_rng(relation_rng_restriction(X2,X3))))).
% 12.82/4.16  cnf(i_0_1609, lemma, (ordinal(esk229_1(X1))|~ordinal(X2)|~in(X2,X1))).
% 12.82/4.16  cnf(i_0_3001, lemma, (finite(relation_rng(X1))|~relation(X1)|~function(X1)|~finite(relation_dom(X1)))).
% 12.82/4.16  cnf(i_0_2494, lemma, (in(X1,esk414_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 12.82/4.16  cnf(i_0_1135, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))).
% 12.82/4.16  cnf(i_0_374, plain, (subset(X1,X2)|~in(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_2341, plain, (esk368_2(X1,X2)=X2|esk366_0!=esk365_0|~in(X2,esk367_1(X1)))).
% 12.82/4.16  cnf(i_0_1030, plain, (relation(the_L_meet(X1))|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_commutative(X1))).
% 12.82/4.16  cnf(i_0_1060, plain, (relation(the_L_meet(X1))|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_associative(X1))).
% 12.82/4.16  cnf(i_0_3097, lemma, (disjoint(X1,X2)|in(esk484_2(X1,X2),X2))).
% 12.82/4.16  cnf(i_0_459, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 12.82/4.16  cnf(i_0_3195, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))).
% 12.82/4.16  cnf(i_0_2999, lemma, (well_ordering(relation_restriction(X1,X2))|~well_orders(X1,X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_2451, lemma, (in(X1,cartesian_product2(X2,X3))|~in(X1,esk390_2(X2,X3)))).
% 12.82/4.16  cnf(i_0_3098, lemma, (disjoint(X1,X2)|in(esk484_2(X1,X2),X1))).
% 12.82/4.16  cnf(i_0_769, plain, (relation(relation_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_709, plain, (transitive(k2_lattice3(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_711, plain, (reflexive(k2_lattice3(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_871, plain, (with_infima_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_728, plain, (reflexive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_3229, plain, (in(esk499_2(X1,X2),X2)|~in(X1,X2))).
% 12.82/4.16  cnf(i_0_141, plain, (boolean_lattstr(X1)|empty_carrier(X1)|~complemented_lattstr(X1)|~distributive_lattstr(X1)|~bounded_lattstr(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_496, plain, (well_ordering(X1)|~well_founded_relation(X1)|~connected(X1)|~antisymmetric(X1)|~reflexive(X1)|~transitive(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_340, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))).
% 12.82/4.16  cnf(i_0_727, plain, (transitive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_3109, lemma, (ex_sup_of_relstr_set(X1,empty_set)|empty_carrier(X1)|~lower_bounded_relstr(X1)|~antisymmetric_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_2460, lemma, (esk394_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk393_1(X1)))).
% 12.82/4.16  cnf(i_0_3017, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))).
% 12.82/4.16  cnf(i_0_726, plain, (antisymmetric_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_710, plain, (antisymmetric(k2_lattice3(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_669, plain, (rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 12.82/4.16  cnf(i_0_670, plain, (strict_rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1))).
% 12.82/4.16  cnf(i_0_573, plain, (one_to_one(X1)|~relation_isomorphism(X2,X3,X1)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_3327, plain, (esk508_3(X1,X2,X3)=X2|~epred2_3(X3,X2,X1))).
% 12.82/4.16  cnf(i_0_3322, plain, (esk510_3(X1,X2,X3)=X3|~epred2_3(X3,X2,X1))).
% 12.82/4.16  cnf(i_0_3210, lemma, (relstr_element_smaller(X1,empty_set,X2)|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_3211, lemma, (relstr_set_smaller(X1,empty_set,X2)|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_747, plain, (empty_carrier(X1)|element(bottom_of_semilattstr(X1),the_carrier(X1))|~meet_semilatt_str(X1))).
% 12.82/4.16  cnf(i_0_418, plain, (well_founded_relation(X1)|subset(esk69_1(X1),relation_field(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_784, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 12.82/4.16  cnf(i_0_870, plain, (~empty_carrier(rel_str_of(unordered_pair(X1,X1),X2))|~relation_of2(X2,unordered_pair(X1,X1),unordered_pair(X1,X1)))).
% 12.82/4.16  cnf(i_0_910, plain, (relation(the_InternalRel(X1))|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_907, plain, (transitive(the_InternalRel(X1))|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_1525, lemma, (function(esk218_1(X1))|in(esk215_1(X1),X1))).
% 12.82/4.16  cnf(i_0_373, plain, (in(X1,powerset(X2))|~subset(X1,X2))).
% 12.82/4.16  cnf(i_0_2357, plain, (esk368_2(X1,X2)=X2|esk364_0=esk365_0|~in(X2,esk367_1(X1)))).
% 12.82/4.16  cnf(i_0_2349, plain, (esk368_2(X1,X2)=X2|esk364_0=esk366_0|~in(X2,esk367_1(X1)))).
% 12.82/4.16  cnf(i_0_553, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))).
% 12.82/4.16  cnf(i_0_909, plain, (reflexive(the_InternalRel(X1))|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_908, plain, (antisymmetric(the_InternalRel(X1))|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_3266, plain, (epred1_0|esk503_1(X1)!=X1|esk507_1(X2)!=X2|~in(X1,esk502_0)|~in(X2,esk506_0))).
% 12.82/4.16  cnf(i_0_1418, plain, (union_of_subsets(X1,X2)=union(X2)|~element(X2,powerset(powerset(X1))))).
% 12.82/4.16  cnf(i_0_654, plain, (subrelstr(X1,X2)|~subnetstr(X1,X3,X2)|~net_str(X2,X3)|~one_sorted_str(X3))).
% 12.82/4.16  cnf(i_0_1, plain, (rel_str_of(the_carrier(X1),the_InternalRel(X1))=X1|~strict_rel_str(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_3283, plain, (epred1_0|subset(X1,esk503_1(X1))|ordinal(esk504_0)|~in(X1,esk502_0))).
% 12.82/4.16  cnf(i_0_2889, lemma, (compact_top_space(X1)|centered(esk458_1(X1))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_3200, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))).
% 12.82/4.16  cnf(i_0_820, plain, (finite(relation_image(X1,X2))|~relation(X1)|~function(X1)|~finite(X2))).
% 12.82/4.16  cnf(i_0_539, plain, (set_difference(X1,X2)=subset_complement(X1,X2)|~element(X2,powerset(X1)))).
% 12.82/4.16  cnf(i_0_525, plain, (X1=omega|~being_limit_ordinal(X1)|~subset(X1,esk100_1(X1))|~ordinal(X1)|~in(empty_set,X1))).
% 12.82/4.16  cnf(i_0_808, plain, (subnetstr(esk144_2(X1,X2),X1,X2)|~net_str(X2,X1)|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_2866, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))).
% 12.82/4.16  cnf(i_0_529, plain, (subset(omega,X1)|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 12.82/4.16  cnf(i_0_577, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))).
% 12.82/4.16  cnf(i_0_2461, lemma, (ordinal(esk394_2(X1,X2))|~ordinal(X1)|~in(X2,esk393_1(X1)))).
% 12.82/4.16  cnf(i_0_1144, lemma, (relation(esk154_2(X1,X2))|~equipotent(X1,relation_field(X2))|~well_ordering(X2)|~relation(X2))).
% 12.82/4.16  cnf(i_0_3328, plain, (ordinal(esk508_3(X1,X2,X3))|~epred2_3(X3,X2,X1))).
% 12.82/4.16  cnf(i_0_1133, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))).
% 12.82/4.16  cnf(i_0_1163, lemma, (X1=unordered_pair(X2,X2)|X1=empty_set|~subset(X1,unordered_pair(X2,X2)))).
% 12.82/4.16  cnf(i_0_2864, lemma, (complements_of_subsets(X1,empty_set)=empty_set|~element(empty_set,powerset(powerset(X1))))).
% 12.82/4.16  cnf(i_0_3015, lemma, (function(esk477_1(X1))|empty(X1)|in(esk476_1(X1),X1))).
% 12.82/4.16  cnf(i_0_3323, plain, (ordinal(esk510_3(X1,X2,X3))|~epred2_3(X3,X2,X1))).
% 12.82/4.16  cnf(i_0_319, plain, (relation(X1)|esk44_1(X1)!=unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))).
% 12.82/4.16  cnf(i_0_42, plain, (quasi_total(X1,X2,X3)|~v1_partfun1(X1,X2,X3)|~relation_of2(X1,X2,X3)|~function(X1))).
% 12.82/4.16  cnf(i_0_1147, lemma, (in(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 12.82/4.16  cnf(i_0_691, plain, (relation_of2_as_subset(relation_restriction_as_relation_of(X1,X2),X2,X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_385, plain, (X1=empty_set|set_meet(X1)!=empty_set|~centered(X2)|~subset(X1,X2)|~finite(X1))).
% 12.82/4.16  cnf(i_0_2353, plain, (esk368_2(X1,X2)=X2|ordinal(esk365_0)|~in(X2,esk367_1(X1)))).
% 12.82/4.16  cnf(i_0_2345, plain, (esk368_2(X1,X2)=X2|ordinal(esk366_0)|~in(X2,esk367_1(X1)))).
% 12.82/4.16  cnf(i_0_2884, lemma, (in(powerset(X1),esk457_1(X2))|~in(X1,esk457_1(X2)))).
% 12.82/4.16  cnf(i_0_3016, lemma, (relation(esk477_1(X1))|empty(X1)|in(esk476_1(X1),X1))).
% 12.82/4.16  cnf(i_0_880, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v1_membered(X2))).
% 12.82/4.16  cnf(i_0_3143, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 12.82/4.16  cnf(i_0_89, plain, (one_to_one(X1)|~bijective(X1,X2,X3)|~quasi_total(X1,X2,X3)|~relation_of2(X1,X2,X3)|~function(X1))).
% 12.82/4.16  cnf(i_0_3029, plain, (X1=X2|~in(esk478_2(X1,X2),X2)|~in(esk478_2(X1,X2),X1))).
% 12.82/4.16  cnf(i_0_3287, plain, (epred1_0|in(esk503_1(X1),esk502_0)|esk506_0!=empty_set|~in(X1,esk502_0))).
% 12.82/4.16  cnf(i_0_3295, plain, (epred1_0|in(esk507_1(X1),esk506_0)|esk502_0!=empty_set|~in(X1,esk506_0))).
% 12.82/4.16  cnf(i_0_3081, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X2,X3)|~in(X1,X3))).
% 12.82/4.16  cnf(i_0_3138, lemma, (subset(X1,topstr_closure(X2,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 12.82/4.16  cnf(i_0_3174, lemma, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_939, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X2))).
% 12.82/4.16  cnf(i_0_424, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
% 12.82/4.16  cnf(i_0_425, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
% 12.82/4.16  cnf(i_0_3116, lemma, (subset(interior(X1,X2),X2)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 12.82/4.16  cnf(i_0_3000, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_orders(X1,X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_2997, lemma, (subset(relation_dom(X1),relation_dom(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_2996, lemma, (subset(relation_rng(X1),relation_rng(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_3175, lemma, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_945, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))).
% 12.82/4.16  cnf(i_0_513, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))).
% 12.82/4.16  cnf(i_0_416, plain, (well_founded_relation(X1)|~disjoint(fiber(X1,X2),esk69_1(X1))|~relation(X1)|~in(X2,esk69_1(X1)))).
% 12.82/4.16  cnf(i_0_3235, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(X1,relation_dom(relation_dom_restriction(X2,X3))))).
% 12.82/4.16  cnf(i_0_2894, lemma, (finite(X1)|~one_sorted_str(X2)|~finite(complements_of_subsets(the_carrier(X2),X1))|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 12.82/4.16  cnf(i_0_953, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 12.82/4.16  cnf(i_0_963, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 12.82/4.16  cnf(i_0_3014, lemma, (relation_dom(esk477_1(X1))=X1|empty(X1)|in(esk476_1(X1),X1))).
% 12.82/4.16  cnf(i_0_2946, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(X1,relation_field(relation_restriction(X2,X3))))).
% 12.82/4.16  cnf(i_0_2868, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(X1,relation_rng(relation_rng_restriction(X3,X2))))).
% 12.82/4.16  cnf(i_0_1116, plain, (X1=X2|rel_str_of(X3,X1)!=rel_str_of(X4,X2)|~relation_of2(X1,X3,X3))).
% 12.82/4.16  cnf(i_0_1117, plain, (X1=X2|rel_str_of(X1,X3)!=rel_str_of(X2,X4)|~relation_of2(X3,X1,X1))).
% 12.82/4.16  cnf(i_0_938, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X2))).
% 12.82/4.16  cnf(i_0_944, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))).
% 12.82/4.16  cnf(i_0_952, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 12.82/4.16  cnf(i_0_1608, lemma, (in(esk229_1(X1),X1)|~ordinal(X2)|~in(X2,X1))).
% 12.82/4.16  cnf(i_0_962, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 12.82/4.16  cnf(i_0_943, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2))).
% 12.82/4.16  cnf(i_0_951, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 12.82/4.16  cnf(i_0_3185, lemma, (empty_carrier(X1)|~is_a_cover_of_carrier(X1,empty_set)|~one_sorted_str(X1)|~element(empty_set,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.16  cnf(i_0_961, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 12.82/4.16  cnf(i_0_950, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2))).
% 12.82/4.16  cnf(i_0_960, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 12.82/4.16  cnf(i_0_514, plain, (lower_bounded_relstr(X1)|~relstr_element_smaller(X1,the_carrier(X1),X2)|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_1415, plain, (relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)|~relation_of2(X3,X1,X2))).
% 12.82/4.16  cnf(i_0_1417, plain, (relation_rng_as_subset(X1,X2,X3)=relation_rng(X3)|~relation_of2(X3,X1,X2))).
% 12.82/4.16  cnf(i_0_534, plain, (in(X1,the_topology(X2))|~open_subset(X1,X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 12.82/4.16  cnf(i_0_959, plain, (v5_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2))).
% 12.82/4.16  cnf(i_0_999, plain, (ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_1001, plain, (epsilon_transitive(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_1000, plain, (epsilon_connected(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_3173, lemma, (well_ordering(X1)|~relation_isomorphism(X2,X1,X3)|~well_ordering(X2)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 12.82/4.16  cnf(i_0_275, plain, (finite(relation_rng(X1))|~relation(X1)|~function(X1)|~in(relation_dom(X1),omega))).
% 12.82/4.16  cnf(i_0_810, plain, (finite(set_difference(X1,set_difference(X1,X2)))|~finite(X2))).
% 12.82/4.16  cnf(i_0_1277, plain, (element(esk177_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_1342, plain, (element(esk190_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_1169, lemma, (element(X1,powerset(X2))|in(esk159_2(X1,X2),X1))).
% 12.82/4.16  cnf(i_0_1043, plain, (complete_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_789, plain, (element(the_topology(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1))).
% 12.82/4.16  cnf(i_0_1390, plain, (element(esk204_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_515, plain, (relstr_element_smaller(X1,the_carrier(X1),esk96_1(X1))|~lower_bounded_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_1385, plain, (empty_carrier(X1)|element(esk202_1(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_2978, lemma, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1))).
% 12.82/4.16  cnf(i_0_1136, lemma, (subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))|~relation(X2))).
% 12.82/4.16  cnf(i_0_2972, lemma, (subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_3252, lemma, (subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_2872, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))|~relation(X2))).
% 12.82/4.16  cnf(i_0_462, plain, (is_well_founded_in(X1,X2)|subset(esk84_2(X1,X2),X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_2874, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))).
% 12.82/4.16  cnf(i_0_1130, lemma, (reflexive(X1)|in(esk150_1(X1),relation_field(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_1046, plain, (bounded_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_1048, plain, (lower_bounded_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_1159, lemma, (connected(X1)|in(esk157_1(X1),relation_field(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_2873, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))).
% 12.82/4.16  cnf(i_0_3061, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))).
% 12.82/4.16  cnf(i_0_1009, plain, (lower_bounded_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lower_bounded_semilattstr(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_1047, plain, (upper_bounded_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_932, plain, (upper_bounded_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~upper_bounded_semilattstr(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_1158, lemma, (connected(X1)|in(esk158_1(X1),relation_field(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_533, plain, (open_subset(X1,X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X1,the_topology(X2)))).
% 12.82/4.16  cnf(i_0_3059, lemma, (in(X1,X2)|~ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_2669, lemma, (function(esk435_1(X1))|esk433_1(X1)!=esk432_1(X1))).
% 12.82/4.16  cnf(i_0_1530, lemma, (unordered_pair(esk215_1(X1),esk215_1(X1))=esk216_1(X1)|function(esk218_1(X1)))).
% 12.82/4.16  cnf(i_0_3183, lemma, (X1=X2|proper_element(X1,powerset(X2))|~element(X1,powerset(X2)))).
% 12.82/4.16  cnf(i_0_3302, plain, (epred1_0|element(esk502_0,powerset(powerset(empty_set)))|esk507_1(X1)!=X1|~in(X1,esk506_0))).
% 12.82/4.16  cnf(i_0_1421, plain, (meet_of_subsets(X1,X2)=set_meet(X2)|~element(X2,powerset(powerset(X1))))).
% 12.82/4.16  cnf(i_0_1391, plain, (closed_subset(esk205_1(X1),X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_1531, lemma, (unordered_pair(esk215_1(X1),esk215_1(X1))=esk216_1(X1)|relation(esk218_1(X1)))).
% 12.82/4.16  cnf(i_0_1520, lemma, (unordered_pair(esk215_1(X1),esk215_1(X1))=esk217_1(X1)|function(esk218_1(X1)))).
% 12.82/4.16  cnf(i_0_2670, lemma, (relation(esk435_1(X1))|esk433_1(X1)!=esk432_1(X1))).
% 12.82/4.16  cnf(i_0_830, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 12.82/4.16  cnf(i_0_1521, lemma, (unordered_pair(esk215_1(X1),esk215_1(X1))=esk217_1(X1)|relation(esk218_1(X1)))).
% 12.82/4.16  cnf(i_0_3057, lemma, (X1=empty_set|ordinal(esk481_2(X1,X2))|~subset(X1,X2)|~ordinal(X2))).
% 12.82/4.16  cnf(i_0_238, plain, (subset(the_InternalRel(X1),the_InternalRel(X2))|~subrelstr(X1,X2)|~rel_str(X2))).
% 12.82/4.16  cnf(i_0_219, plain, (empty_carrier(X1)|element(esk16_1(X1),the_carrier(X1))|~meet_semilatt_str(X1)|~lower_bounded_semilattstr(X1))).
% 12.82/4.16  cnf(i_0_3148, lemma, (bottom_of_semilattstr(X1)=join_of_latt_set(X1,empty_set)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_2943, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X1))=relation_restriction(X2,X1)|~relation(X2))).
% 12.82/4.16  cnf(i_0_2906, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(relation_rng(X1),X3))).
% 12.82/4.16  cnf(i_0_286, 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))).
% 12.82/4.16  cnf(i_0_1636, lemma, (relation(esk235_3(X1,X2,X3))|~relation(X3)|~relation(X2)|~function(X3))).
% 12.82/4.16  cnf(i_0_2939, lemma, (relation_dom_restriction(relation_rng_restriction(X1,X2),X1)=relation_restriction(X2,X1)|~relation(X2))).
% 12.82/4.16  cnf(i_0_893, plain, (v1_binop_1(the_L_join(X1),the_carrier(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_commutative(X1))).
% 12.82/4.16  cnf(i_0_1027, plain, (v1_binop_1(the_L_meet(X1),the_carrier(X1))|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_commutative(X1))).
% 12.82/4.16  cnf(i_0_973, plain, (v2_binop_1(the_L_join(X1),the_carrier(X1))|empty_carrier(X1)|~join_semilatt_str(X1)|~join_associative(X1))).
% 12.82/4.16  cnf(i_0_1057, plain, (v2_binop_1(the_L_meet(X1),the_carrier(X1))|empty_carrier(X1)|~meet_semilatt_str(X1)|~meet_associative(X1))).
% 12.82/4.16  cnf(i_0_608, plain, (meet_absorbing(X1)|empty_carrier(X1)|element(esk117_1(X1),the_carrier(X1))|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_1125, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))).
% 12.82/4.16  cnf(i_0_2921, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(X4,X3))).
% 12.82/4.16  cnf(i_0_3155, lemma, (closed_subset(X1,X2)|topstr_closure(X2,X1)!=X1|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 12.82/4.16  cnf(i_0_248, plain, (full_subrelstr(X1,X2)|relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X1))!=the_InternalRel(X1)|~subrelstr(X1,X2)|~rel_str(X2))).
% 12.82/4.16  cnf(i_0_2502, lemma, (esk417_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk416_2(X1,X2)))).
% 12.82/4.16  cnf(i_0_595, plain, (element(esk110_2(X1,X2),the_carrier(X1))|~ex_sup_of_relstr_set(X1,X2)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_651, plain, (element(esk127_2(X1,X2),the_carrier(X1))|~ex_inf_of_relstr_set(X1,X2)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_675, plain, (empty_carrier(X1)|element(join_of_latt_set(X1,X2),the_carrier(X1))|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_676, plain, (empty_carrier(X1)|element(meet_of_latt_set(X1,X2),the_carrier(X1))|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_607, plain, (meet_absorbing(X1)|empty_carrier(X1)|element(esk118_1(X1),the_carrier(X1))|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_119, plain, (one_to_one(X1)|~reflexive(X1)|~v1_partfun1(X1,X2,X2)|~relation_of2(X1,X2,X2)|~function(X1))).
% 12.82/4.16  cnf(i_0_160, plain, (ordinal_subset(X1,X2)|ordinal_subset(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_2342, plain, (in(esk368_2(X1,X2),X1)|esk366_0!=esk365_0|~in(X2,esk367_1(X1)))).
% 12.82/4.16  cnf(i_0_1962, plain, (esk292_2(X1,X2)=X2|esk288_1(X1)!=esk289_1(X1)|~ordinal(X1)|~in(X2,esk290_1(X1)))).
% 12.82/4.16  cnf(i_0_3292, plain, (epred1_0|ordinal(esk504_0)|in(esk503_1(X1),esk502_0)|~in(X1,esk502_0))).
% 12.82/4.16  cnf(i_0_528, plain, (X1=omega|ordinal(esk100_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 12.82/4.16  cnf(i_0_526, plain, (X1=omega|being_limit_ordinal(esk100_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 12.82/4.16  cnf(i_0_237, plain, (subrelstr(X1,X2)|~subset(the_carrier(X1),the_carrier(X2))|~subset(the_InternalRel(X1),the_InternalRel(X2))|~rel_str(X2)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_792, plain, (quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))|~net_str(X2,X1)|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_2888, lemma, (compact_top_space(X1)|closed_subsets(esk458_1(X1),X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_487, plain, (is_antisymmetric_in(X1,X2)|in(esk89_2(X1,X2),X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_1964, plain, (esk291_2(X1,X2)=X2|esk288_1(X1)!=esk289_1(X1)|~ordinal(X1)|~in(X2,esk290_1(X1)))).
% 12.82/4.16  cnf(i_0_139, plain, (empty(X1)|empty(X2)|~quasi_total(X3,X1,X2)|~relation_of2(X3,X1,X2)|~empty(X3))).
% 12.82/4.16  cnf(i_0_1446, lemma, (function(esk212_2(X1,X2))|empty(X1)|esk209_2(X1,X2)!=esk208_2(X1,X2)|~relation(X2))).
% 12.82/4.16  cnf(i_0_486, plain, (is_antisymmetric_in(X1,X2)|in(esk90_2(X1,X2),X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_791, plain, (relation_of2_as_subset(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))|~net_str(X2,X1)|~one_sorted_str(X1))).
% 12.82/4.16  cnf(i_0_3108, lemma, (ex_inf_of_relstr_set(X1,the_carrier(X1))|empty_carrier(X1)|~lower_bounded_relstr(X1)|~antisymmetric_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_3156, lemma, (topstr_closure(X1,X2)=X2|~closed_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 12.82/4.16  cnf(i_0_611, 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)))))).
% 12.82/4.16  cnf(i_0_558, plain, (is_connected_in(X1,X2)|in(esk104_2(X1,X2),X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_1447, lemma, (relation(esk212_2(X1,X2))|empty(X1)|esk209_2(X1,X2)!=esk208_2(X1,X2)|~relation(X2))).
% 12.82/4.16  cnf(i_0_3261, plain, (in(X1,esk501_2(X2,X3))|~subset(X1,X3)|~in(X3,esk500_1(X2)))).
% 12.82/4.16  cnf(i_0_372, plain, (X1=powerset(X2)|~subset(esk58_2(X2,X1),X2)|~in(esk58_2(X2,X1),X1))).
% 12.82/4.16  cnf(i_0_342, plain, (open_subsets(X1,X2)|~open_subset(esk50_2(X2,X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 12.82/4.16  cnf(i_0_557, plain, (is_connected_in(X1,X2)|in(esk105_2(X1,X2),X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_610, 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)))))).
% 12.82/4.16  cnf(i_0_3262, plain, (in(esk501_2(X1,X2),esk500_1(X1))|~in(X2,esk500_1(X1)))).
% 12.82/4.16  cnf(i_0_732, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.16  cnf(i_0_2893, lemma, (finite(complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~finite(X2)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.16  cnf(i_0_623, plain, (is_transitive_in(X1,X2)|in(esk123_2(X1,X2),X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_412, plain, (closed_subsets(X1,X2)|~closed_subset(esk67_2(X2,X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 12.82/4.16  cnf(i_0_2503, lemma, (ordinal(esk417_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk416_2(X1,X2)))).
% 12.82/4.16  cnf(i_0_405, plain, (X1=unordered_pair(X2,X3)|esk66_3(X2,X3,X1)!=X3|~in(esk66_3(X2,X3,X1),X1))).
% 12.82/4.16  cnf(i_0_622, plain, (is_transitive_in(X1,X2)|in(esk124_2(X1,X2),X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_883, plain, (natural(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~natural(X1))).
% 12.82/4.16  cnf(i_0_621, plain, (is_transitive_in(X1,X2)|in(esk125_2(X1,X2),X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_406, plain, (X1=unordered_pair(X2,X3)|esk66_3(X2,X3,X1)!=X2|~in(esk66_3(X2,X3,X1),X1))).
% 12.82/4.16  cnf(i_0_1963, plain, (ordinal(esk292_2(X1,X2))|esk288_1(X1)!=esk289_1(X1)|~ordinal(X1)|~in(X2,esk290_1(X1)))).
% 12.82/4.16  cnf(i_0_650, plain, (relstr_element_smaller(X1,X2,esk127_2(X1,X2))|~ex_inf_of_relstr_set(X1,X2)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_594, plain, (relstr_set_smaller(X1,X2,esk110_2(X1,X2))|~ex_sup_of_relstr_set(X1,X2)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_323, plain, (is_reflexive_in(X1,X2)|in(esk45_2(X1,X2),X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_864, plain, (relation(set_difference(X1,set_difference(X1,X2)))|~relation(X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_3084, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_ordering(X1)|~subset(X2,relation_field(X1))|~relation(X1))).
% 12.82/4.16  cnf(i_0_1127, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))).
% 12.82/4.16  cnf(i_0_2668, lemma, (relation_dom(esk435_1(X1))=X1|esk433_1(X1)!=esk432_1(X1))).
% 12.82/4.16  cnf(i_0_2845, lemma, (apply(esk453_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 12.82/4.16  cnf(i_0_2449, lemma, (in(esk391_3(X1,X2,X3),X1)|~in(X3,esk390_2(X1,X2)))).
% 12.82/4.16  cnf(i_0_3101, lemma, (being_limit_ordinal(X1)|~ordinal(X1)|~in(set_union2(esk485_1(X1),unordered_pair(esk485_1(X1),esk485_1(X1))),X1))).
% 12.82/4.16  cnf(i_0_3157, lemma, (epred3_2(X1,X2)|~relation_isomorphism(X2,X1,X3)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 12.82/4.16  cnf(i_0_3020, lemma, (closed_subset(X1,X2)|~open_subset(subset_complement(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 12.82/4.16  cnf(i_0_2358, plain, (esk364_0=esk365_0|in(esk368_2(X1,X2),X1)|~in(X2,esk367_1(X1)))).
% 12.82/4.16  cnf(i_0_2350, plain, (esk364_0=esk366_0|in(esk368_2(X1,X2),X1)|~in(X2,esk367_1(X1)))).
% 12.82/4.16  cnf(i_0_3115, lemma, (subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1))|~relation(X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_3123, lemma, (subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))|~relation(X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_2901, lemma, (subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_600, plain, (one_to_one(X1)|in(esk114_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_3298, plain, (epred1_0|in(set_union2(esk504_0,unordered_pair(esk504_0,esk504_0)),omega)|esk502_0!=empty_set)).
% 12.82/4.16  cnf(i_0_1166, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))).
% 12.82/4.16  cnf(i_0_1167, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))).
% 12.82/4.16  cnf(i_0_2934, lemma, (subset(relation_inverse_image(X1,X2),relation_inverse_image(X1,X3))|~subset(X2,X3)|~relation(X1))).
% 12.82/4.16  cnf(i_0_285, plain, (X1=empty_set|X2=empty_set|~relation_of2_as_subset(X2,X1,empty_set)|~quasi_total(X2,X1,empty_set))).
% 12.82/4.16  cnf(i_0_2876, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))).
% 12.82/4.16  cnf(i_0_599, plain, (one_to_one(X1)|in(esk115_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_493, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
% 12.82/4.16  cnf(i_0_469, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))).
% 12.82/4.16  cnf(i_0_2915, lemma, (relation_rng(relation_composition(X1,X2))=relation_image(X2,relation_rng(X1))|~relation(X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_2947, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))).
% 12.82/4.16  cnf(i_0_2908, lemma, (subset_intersection2(the_carrier(X1),X2,cast_as_carrier_subset(X1))=X2|~one_sorted_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 12.82/4.16  cnf(i_0_2883, lemma, (are_equipotent(X1,esk457_1(X2))|in(X1,esk457_1(X2))|~subset(X1,esk457_1(X2)))).
% 12.82/4.16  cnf(i_0_3260, plain, (are_equipotent(X1,esk500_1(X2))|in(X1,esk500_1(X2))|~subset(X1,esk500_1(X2)))).
% 12.82/4.16  cnf(i_0_2993, lemma, (X1=X2|in(X1,X2)|in(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 12.82/4.16  cnf(i_0_2354, plain, (ordinal(esk365_0)|in(esk368_2(X1,X2),X1)|~in(X2,esk367_1(X1)))).
% 12.82/4.16  cnf(i_0_2464, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk398_2(X3,X1)))).
% 12.82/4.16  cnf(i_0_2885, lemma, (in(X1,esk457_1(X2))|~subset(X1,X3)|~in(X3,esk457_1(X2)))).
% 12.82/4.16  cnf(i_0_2346, plain, (ordinal(esk366_0)|in(esk368_2(X1,X2),X1)|~in(X2,esk367_1(X1)))).
% 12.82/4.16  cnf(i_0_3263, plain, (in(X1,esk500_1(X2))|~subset(X1,X3)|~in(X3,esk500_1(X2)))).
% 12.82/4.16  cnf(i_0_3056, lemma, (X1=empty_set|in(esk481_2(X1,X2),X1)|~subset(X1,X2)|~ordinal(X2))).
% 12.82/4.16  cnf(i_0_795, plain, (quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))).
% 12.82/4.16  cnf(i_0_786, plain, (quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))).
% 12.82/4.16  cnf(i_0_387, plain, (rel_str_of(the_carrier(X1),k2_lattice3(X1))=poset_of_lattice(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_2895, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X3))=relation_dom_restriction(relation_rng_restriction(X1,X2),X3)|~relation(X2))).
% 12.82/4.16  cnf(i_0_1904, plain, (esk284_3(X1,X2,X3)=X3|esk278_1(X1)!=esk277_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.16  cnf(i_0_1143, lemma, (well_orders(esk154_2(X1,X2),X1)|~equipotent(X1,relation_field(X2))|~well_ordering(X2)|~relation(X2))).
% 12.82/4.16  cnf(i_0_575, plain, (relation_field(X1)=relation_dom(X2)|~relation_isomorphism(X1,X3,X2)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X2))).
% 12.82/4.16  cnf(i_0_574, plain, (relation_rng(X1)=relation_field(X2)|~relation_isomorphism(X3,X2,X1)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_751, plain, (element(union_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 12.82/4.16  cnf(i_0_794, plain, (relation_of2_as_subset(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))).
% 12.82/4.16  cnf(i_0_785, plain, (relation_of2_as_subset(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))).
% 12.82/4.16  cnf(i_0_444, plain, (cast_to_el_of_LattPOSet(X1,X2)=X2|empty_carrier(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_757, plain, (element(meet_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 12.82/4.16  cnf(i_0_2887, lemma, (meet_of_subsets(the_carrier(X1),esk458_1(X1))=empty_set|compact_top_space(X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_1424, plain, (relation_dom_restr_as_relation_of(X1,X2,X3,X4)=relation_dom_restriction(X3,X4)|~relation_of2(X3,X1,X2))).
% 12.82/4.16  cnf(i_0_460, plain, (is_well_founded_in(X1,X2)|~disjoint(fiber(X1,X3),esk84_2(X1,X2))|~relation(X1)|~in(X3,esk84_2(X1,X2)))).
% 12.82/4.16  cnf(i_0_602, plain, (relstr_element_smaller(X1,X2,X3)|~related(X1,X3,esk116_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_656, plain, (relstr_set_smaller(X1,X2,X3)|~related(X1,esk131_3(X1,X2,X3),X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_439, plain, (compact_top_space(X1)|element(esk77_1(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1))).
% 12.82/4.16  cnf(i_0_2914, lemma, (element(esk460_2(X1,X2),the_carrier(X1))|~ex_sup_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_2932, lemma, (element(esk463_2(X1,X2),the_carrier(X1))|~ex_inf_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_1393, plain, (empty_carrier(X1)|element(esk205_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1))).
% 12.82/4.16  cnf(i_0_3275, plain, (epred1_0|subset(X1,esk503_1(X1))|esk507_1(X2)!=X2|~in(X1,esk502_0)|~in(X2,esk506_0))).
% 12.82/4.16  cnf(i_0_332, plain, (X1=empty_set|in(X2,set_meet(X1))|~in(X2,esk46_3(X1,set_meet(X1),X2)))).
% 12.82/4.16  cnf(i_0_288, plain, (X1=empty_set|quasi_total(X2,X3,X1)|relation_dom_as_subset(X3,X1,X2)!=X3|~relation_of2_as_subset(X2,X3,X1))).
% 12.82/4.16  cnf(i_0_92, plain, (lattice(X1)|empty_carrier(X1)|~join_absorbing(X1)|~meet_absorbing(X1)|~meet_associative(X1)|~meet_commutative(X1)|~join_associative(X1)|~join_commutative(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_541, 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))).
% 12.82/4.16  cnf(i_0_284, plain, (X1=empty_set|quasi_total(empty_set,X1,empty_set)|~relation_of2_as_subset(empty_set,X1,empty_set))).
% 12.82/4.16  cnf(i_0_3267, plain, (epred1_0|subset(X1,esk507_1(X1))|esk503_1(X2)!=X2|~in(X2,esk502_0)|~in(X1,esk506_0))).
% 12.82/4.16  cnf(i_0_708, plain, (empty_carrier(X1)|v1_partfun1(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_707, plain, (relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_2903, lemma, (subset(X1,relation_inverse_image(X2,relation_image(X2,X1)))|~subset(X1,relation_dom(X2))|~relation(X2))).
% 12.82/4.16  cnf(i_0_409, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X3,X2)))).
% 12.82/4.16  cnf(i_0_2937, lemma, (open_subsets(X1,X2)|~closed_subsets(complements_of_subsets(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 12.82/4.16  cnf(i_0_2922, 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)))))).
% 12.82/4.16  cnf(i_0_380, plain, (join_of_latt_set(X1,a_2_2_lattice3(X1,X2))=meet_of_latt_set(X1,X2)|empty_carrier(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_3026, lemma, (subset(X1,X2)|~below(boole_lattice(X3),X1,X2)|~element(X2,powerset(X3))|~element(X1,powerset(X3)))).
% 12.82/4.16  cnf(i_0_527, plain, (X1=omega|in(empty_set,esk100_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 12.82/4.16  cnf(i_0_2, plain, (latt_str_of(the_carrier(X1),the_L_join(X1),the_L_meet(X1))=X1|~strict_latt_str(X1)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_3303, plain, (epred1_0|subset(X1,esk507_1(X1))|element(esk502_0,powerset(powerset(empty_set)))|~in(X1,esk506_0))).
% 12.82/4.16  cnf(i_0_495, plain, (in(X1,esk91_3(X2,union(X2),X1))|~in(X1,union(X2)))).
% 12.82/4.16  cnf(i_0_742, plain, (element(relation_dom_as_subset(X1,X2,X3),powerset(X1))|~relation_of2(X3,X1,X2))).
% 12.82/4.16  cnf(i_0_436, plain, (compact_top_space(X1)|~is_a_cover_of_carrier(X1,X2)|~top_str(X1)|~subset(X2,esk77_1(X1))|~finite(X2)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.16  cnf(i_0_2970, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 12.82/4.16  cnf(i_0_3036, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 12.82/4.16  cnf(i_0_3037, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 12.82/4.16  cnf(i_0_750, plain, (element(relation_rng_as_subset(X1,X2,X3),powerset(X2))|~relation_of2(X3,X1,X2))).
% 12.82/4.16  cnf(i_0_764, plain, (empty_carrier(X1)|empty_carrier(X2)|latt_str(k8_filter_1(X1,X2))|~latt_str(X2)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_765, plain, (empty_carrier(X1)|empty_carrier(X2)|strict_latt_str(k8_filter_1(X1,X2))|~latt_str(X2)|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_475, plain, (cast_to_el_of_lattice(X1,X2)=X2|empty_carrier(X1)|~lattice(X1)|~element(X2,the_carrier(poset_of_lattice(X1)))|~latt_str(X1))).
% 12.82/4.16  cnf(i_0_494, plain, (in(esk91_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
% 12.82/4.16  cnf(i_0_2693, lemma, (function(esk435_1(X1))|in(esk431_1(X1),X1))).
% 12.82/4.16  cnf(i_0_2969, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 12.82/4.16  cnf(i_0_338, plain, (X1=unordered_pair(X2,X2)|esk49_2(X2,X1)!=X2|~in(esk49_2(X2,X1),X1))).
% 12.82/4.16  cnf(i_0_1074, plain, (open_subset(interior(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 12.82/4.16  cnf(i_0_2979, lemma, (subset(fiber(relation_restriction(X1,X2),X3),fiber(X1,X3))|~relation(X1))).
% 12.82/4.16  cnf(i_0_2694, lemma, (relation(esk435_1(X1))|in(esk431_1(X1),X1))).
% 12.82/4.16  cnf(i_0_928, plain, (closed_subset(topstr_closure(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 12.82/4.16  cnf(i_0_1542, lemma, (function(esk222_2(X1,X2))|esk220_2(X1,X2)!=esk221_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.16  cnf(i_0_2925, lemma, (in(X1,cartesian_product2(X2,X2))|~relation(X3)|~in(X1,relation_restriction(X3,X2)))).
% 12.82/4.16  cnf(i_0_2931, lemma, (relstr_element_smaller(X1,X2,esk463_2(X1,X2))|~ex_inf_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_2913, lemma, (relstr_set_smaller(X1,X2,esk460_2(X1,X2))|~ex_sup_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_3110, lemma, (disjoint(X1,X2)|~subset(X1,subset_complement(X3,X2))|~element(X2,powerset(X3))|~element(X1,powerset(X3)))).
% 12.82/4.16  cnf(i_0_560, plain, (set_difference(X1,set_difference(X1,cartesian_product2(X2,X2)))=relation_restriction(X1,X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_1577, lemma, (function(esk227_2(X1,X2))|esk225_2(X1,X2)!=esk226_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.16  cnf(i_0_1543, lemma, (relation(esk222_2(X1,X2))|esk220_2(X1,X2)!=esk221_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.16  cnf(i_0_1578, lemma, (relation(esk227_2(X1,X2))|esk225_2(X1,X2)!=esk226_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.16  cnf(i_0_2905, lemma, (relation_image(X1,relation_inverse_image(X1,X2))=X2|~subset(X2,relation_rng(X1))|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_763, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))).
% 12.82/4.16  cnf(i_0_2501, lemma, (in(esk417_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk416_2(X1,X2)))).
% 12.82/4.16  cnf(i_0_2897, lemma, (in(esk459_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 12.82/4.16  cnf(i_0_2917, lemma, (in(esk462_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 12.82/4.16  cnf(i_0_287, plain, (relation_dom_as_subset(empty_set,X1,X2)=empty_set|~relation_of2_as_subset(X2,empty_set,X1)|~quasi_total(X2,empty_set,X1))).
% 12.82/4.16  cnf(i_0_755, plain, (element(topstr_closure(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 12.82/4.16  cnf(i_0_692, plain, (element(interior(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 12.82/4.16  cnf(i_0_906, plain, (v1_partfun1(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~antisymmetric_relstr(X1)|~transitive_relstr(X1)|~reflexive_relstr(X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_3133, lemma, (relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~subset(relation_rng(X1),relation_dom(X2))|~relation(X2)|~relation(X1))).
% 12.82/4.16  cnf(i_0_471, plain, (apply(X1,X2)=empty_set|in(X2,relation_dom(X1))|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_87, plain, (onto(X1,X2,X3)|~bijective(X1,X2,X3)|~quasi_total(X1,X2,X3)|~relation_of2(X1,X2,X3)|~function(X1))).
% 12.82/4.16  cnf(i_0_1887, plain, (in(esk275_2(X1,X2),X1)|esk273_1(X1)!=esk272_1(X1)|~in(X2,esk274_1(X1)))).
% 12.82/4.16  cnf(i_0_1123, plain, (subset_union2(X1,X2,X2)=X2|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.16  cnf(i_0_1124, plain, (subset_intersection2(X1,X2,X2)=X2|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.16  cnf(i_0_1152, lemma, (subset(X1,set_difference(X2,unordered_pair(X3,X3)))|in(X3,X1)|~subset(X1,X2))).
% 12.82/4.16  cnf(i_0_3136, lemma, (relation_rng(relation_composition(X1,X2))=relation_rng(X2)|~subset(relation_dom(X2),relation_rng(X1))|~relation(X1)|~relation(X2))).
% 12.82/4.16  cnf(i_0_249, plain, (relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X2))=the_InternalRel(X2)|~full_subrelstr(X2,X1)|~subrelstr(X2,X1)|~rel_str(X1))).
% 12.82/4.16  cnf(i_0_2339, plain, (in(X1,esk367_1(X2))|esk366_0!=esk365_0|~ordinal(X1)|~in(X1,X2))).
% 12.82/4.16  cnf(i_0_3304, plain, (epred1_0|element(esk502_0,powerset(powerset(empty_set)))|in(esk507_1(X1),esk506_0)|~in(X1,esk506_0))).
% 12.82/4.16  cnf(i_0_105, plain, (bijective(X1,X2,X3)|~onto(X1,X2,X3)|~one_to_one(X1)|~quasi_total(X1,X2,X3)|~relation_of2(X1,X2,X3)|~function(X1))).
% 12.82/4.16  cnf(i_0_1607, lemma, (ordinal_subset(esk229_1(X1),X2)|~ordinal(X3)|~ordinal(X2)|~in(X3,X1)|~in(X2,X1))).
% 12.82/4.16  cnf(i_0_492, plain, (X1=union(X2)|~in(esk92_2(X2,X1),X3)|~in(esk92_2(X2,X1),X1)|~in(X3,X2))).
% 12.82/4.16  cnf(i_0_128, plain, (v1_partfun1(X1,X2,X3)|empty(X3)|~quasi_total(X1,X2,X3)|~relation_of2(X1,X2,X3)|~function(X1))).
% 12.82/4.16  cnf(i_0_1502, lemma, (esk210_2(X1,X2)=esk207_2(X1,X2)|function(esk212_2(X1,X2))|empty(X1)|~relation(X2))).
% 12.82/4.16  cnf(i_0_2692, lemma, (relation_dom(esk435_1(X1))=X1|in(esk431_1(X1),X1))).
% 12.82/4.16  cnf(i_0_1110, plain, (esk148_3(X1,X2,X3)=X1|empty_carrier(X2)|~in(X1,a_2_2_lattice3(X2,X3))|~latt_str(X2))).
% 12.82/4.16  cnf(i_0_3284, plain, (epred1_0|in(esk503_1(X1),esk502_0)|esk507_1(X2)!=X2|~in(X1,esk502_0)|~in(X2,esk506_0))).
% 12.82/4.16  cnf(i_0_1503, lemma, (esk210_2(X1,X2)=esk207_2(X1,X2)|relation(esk212_2(X1,X2))|empty(X1)|~relation(X2))).
% 12.82/4.16  cnf(i_0_2440, lemma, (empty(X1)|in(X2,cartesian_product2(X1,X3))|~relation(X4)|~in(X2,esk382_3(X1,X4,X3)))).
% 12.82/4.16  cnf(i_0_1514, lemma, (in(X1,X2)|esk217_1(X2)!=esk216_1(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk218_1(X2)))).
% 12.82/4.16  cnf(i_0_3038, lemma, (open_subset(X1,X2)|~closed_subset(subset_complement(the_carrier(X2),X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2))))).
% 12.82/4.16  cnf(i_0_1470, lemma, (esk211_2(X1,X2)=esk207_2(X1,X2)|function(esk212_2(X1,X2))|empty(X1)|~relation(X2))).
% 12.82/4.16  cnf(i_0_3268, plain, (epred1_0|in(esk507_1(X1),esk506_0)|esk503_1(X2)!=X2|~in(X2,esk502_0)|~in(X1,esk506_0))).
% 12.82/4.16  cnf(i_0_3021, lemma, (open_subset(subset_complement(the_carrier(X1),X2),X1)|~closed_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 12.82/4.16  cnf(i_0_2355, plain, (esk364_0=esk365_0|in(X1,esk367_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 12.82/4.16  cnf(i_0_3064, lemma, (identity_relation(relation_dom(X1))=X1|apply(X1,esk482_2(relation_dom(X1),X1))!=esk482_2(relation_dom(X1),X1)|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_1471, lemma, (esk211_2(X1,X2)=esk207_2(X1,X2)|relation(esk212_2(X1,X2))|empty(X1)|~relation(X2))).
% 12.82/4.16  cnf(i_0_1416, plain, (subset_union2(X1,X2,X3)=set_union2(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.16  cnf(i_0_1422, plain, (subset_difference(X1,X2,X3)=set_difference(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.16  cnf(i_0_1893, plain, (in(esk275_2(X1,X2),X1)|in(esk271_1(X1),X1)|~in(X2,esk274_1(X1)))).
% 12.82/4.16  cnf(i_0_165, plain, (X1=X2|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),identity_relation(X3)))).
% 12.82/4.16  cnf(i_0_2347, plain, (esk364_0=esk366_0|in(X1,esk367_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 12.82/4.16  cnf(i_0_502, plain, (equipotent(relation_dom(X1),relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 12.82/4.16  cnf(i_0_551, 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))))).
% 12.82/4.16  cnf(i_0_2975, lemma, (in(X1,relation_dom(X2))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(X1,relation_dom(relation_composition(X2,X3))))).
% 12.82/4.16  cnf(i_0_297, plain, (X1=X2|esk37_2(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1)!=X1)).
% 12.82/4.16  cnf(i_0_389, plain, (X1=X2|esk62_2(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),X1)!=X1)).
% 12.82/4.16  cnf(i_0_2936, 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))))).
% 12.82/4.16  cnf(i_0_2942, lemma, (X1=empty_set|in(esk465_2(X2,X1),X1)|~finite(X2)|~element(X1,powerset(powerset(X2))))).
% 12.82/4.16  cnf(i_0_2351, plain, (ordinal(esk365_0)|in(X1,esk367_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_268, plain, (X1=unordered_triple(X2,X3,X4)|esk30_4(X2,X3,X4,X1)!=X4|~in(esk30_4(X2,X3,X4,X1),X1))).
% 12.82/4.17  cnf(i_0_269, plain, (X1=unordered_triple(X2,X3,X4)|esk30_4(X2,X3,X4,X1)!=X3|~in(esk30_4(X2,X3,X4,X1),X1))).
% 12.82/4.17  cnf(i_0_270, plain, (X1=unordered_triple(X2,X3,X4)|esk30_4(X2,X3,X4,X1)!=X2|~in(esk30_4(X2,X3,X4,X1),X1))).
% 12.82/4.17  cnf(i_0_3248, lemma, (set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2))=relation_dom(relation_dom_restriction(X1,X2))|~relation(X1))).
% 12.82/4.17  cnf(i_0_289, plain, (relation_dom_as_subset(X1,X2,X3)=X1|X2=empty_set|~relation_of2_as_subset(X3,X1,X2)|~quasi_total(X3,X1,X2))).
% 12.82/4.17  cnf(i_0_420, plain, (X1=empty_set|in(esk68_2(X2,X1),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 12.82/4.17  cnf(i_0_3025, lemma, (below(boole_lattice(X1),X2,X3)|~subset(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.17  cnf(i_0_2343, plain, (ordinal(esk366_0)|in(X1,esk367_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_2875, lemma, (set_difference(relation_rng(X1),set_difference(relation_rng(X1),X2))=relation_rng(relation_rng_restriction(X2,X1))|~relation(X1))).
% 12.82/4.17  cnf(i_0_422, plain, (X1=set_union2(X2,X3)|~in(esk70_3(X2,X3,X1),X1)|~in(esk70_3(X2,X3,X1),X3))).
% 12.82/4.17  cnf(i_0_423, plain, (X1=set_union2(X2,X3)|~in(esk70_3(X2,X3,X1),X1)|~in(esk70_3(X2,X3,X1),X2))).
% 12.82/4.17  cnf(i_0_768, plain, (relation_of2_as_subset(relation_dom_restr_as_relation_of(X1,X2,X3,X4),X1,X2)|~relation_of2(X3,X1,X2))).
% 12.82/4.17  cnf(i_0_2383, plain, (esk380_3(X1,X2,X3)=X3|esk376_2(X1,X2)!=esk375_2(X1,X2)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_598, plain, (apply(X1,esk115_1(X1))=apply(X1,esk114_1(X1))|one_to_one(X1)|~relation(X1)|~function(X1))).
% 12.82/4.17  cnf(i_0_2923, 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)))))).
% 12.82/4.17  cnf(i_0_2938, lemma, (closed_subsets(complements_of_subsets(the_carrier(X1),X2),X1)|~open_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_3276, plain, (epred1_0|subset(X1,esk507_1(X1))|subset(X2,esk503_1(X2))|~in(X2,esk502_0)|~in(X1,esk506_0))).
% 12.82/4.17  cnf(i_0_2462, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk393_1(X2)))).
% 12.82/4.17  cnf(i_0_3240, lemma, (X1=apply(X2,X3)|~relation(X2)|~function(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 12.82/4.17  cnf(i_0_3222, lemma, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(identity_relation(X2),X3)))).
% 12.82/4.17  cnf(i_0_116, plain, (bijective(X1,X2,X2)|~reflexive(X1)|~v1_partfun1(X1,X2,X2)|~relation_of2(X1,X2,X2)|~function(X1))).
% 12.82/4.17  cnf(i_0_117, plain, (onto(X1,X2,X2)|~reflexive(X1)|~v1_partfun1(X1,X2,X2)|~relation_of2(X1,X2,X2)|~function(X1))).
% 12.82/4.17  cnf(i_0_1478, lemma, (function(esk212_2(X1,X2))|empty(X1)|in(esk207_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_3111, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))).
% 12.82/4.17  cnf(i_0_2468, lemma, (in(X1,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~in(X1,esk398_2(X2,X3)))).
% 12.82/4.17  cnf(i_0_348, plain, (directed_subset(X1,X2)|in(esk52_2(X2,X1),X1)|~element(X1,powerset(the_carrier(X2)))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_347, plain, (directed_subset(X1,X2)|in(esk53_2(X2,X1),X1)|~element(X1,powerset(the_carrier(X2)))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_3023, lemma, (join_on_relstr(poset_of_lattice(X1),X2)=join_of_latt_set(X1,X2)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_3062, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)))).
% 12.82/4.17  cnf(i_0_3063, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))).
% 12.82/4.17  cnf(i_0_1479, lemma, (relation(esk212_2(X1,X2))|empty(X1)|in(esk207_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_350, plain, (directed_subset(X1,X2)|element(esk52_2(X2,X1),the_carrier(X2))|~element(X1,powerset(the_carrier(X2)))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_349, plain, (directed_subset(X1,X2)|element(esk53_2(X2,X1),the_carrier(X2))|~element(X1,powerset(the_carrier(X2)))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_3039, lemma, (closed_subset(subset_complement(the_carrier(X1),X2),X1)|~open_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 12.82/4.17  cnf(i_0_174, plain, (relstr_element_smaller(X1,X2,meet_on_relstr(X1,X2))|~ex_inf_of_relstr_set(X1,X2)|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_3141, lemma, (relation_isomorphism(X1,X2,function_inverse(X3))|~relation_isomorphism(X2,X1,X3)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 12.82/4.17  cnf(i_0_2382, plain, (ordinal(esk381_3(X1,X2,X3))|esk376_2(X1,X2)!=esk375_2(X1,X2)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_468, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X3)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_3297, plain, (epred1_0|element(esk506_0,powerset(powerset(set_union2(esk504_0,unordered_pair(esk504_0,esk504_0)))))|esk502_0!=empty_set)).
% 12.82/4.17  cnf(i_0_2961, lemma, (empty_carrier(X1)|finite(esk470_2(X1,X2))|~transitive_relstr(X1)|~empty(X2)|~element(X2,powerset(the_carrier(X1)))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_3033, lemma, (subset(X1,X2)|~related_reflexive(incl_POSet(powerset(X3)),X1,X2)|~element(X2,powerset(X3))|~element(X1,powerset(X3)))).
% 12.82/4.17  cnf(i_0_779, plain, (empty_carrier(X1)|element(X2,powerset(the_carrier(X1)))|~point_neighbourhood(X2,X1,X3)|~topological_space(X1)|~top_str(X1)|~element(X3,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_3022, lemma, (meet_on_relstr(poset_of_lattice(X1),X2)=meet_of_latt_set(X1,X2)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_668, plain, (relstr_set_smaller(X1,X2,join_on_relstr(X1,X2))|~ex_sup_of_relstr_set(X1,X2)|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2924, lemma, (in(X1,relation_restriction(X2,X3))|~relation(X2)|~in(X1,cartesian_product2(X3,X3))|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_2489, lemma, (in(X1,cartesian_product2(X2,X3))|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))|~in(X1,esk407_3(X4,X2,X3)))).
% 12.82/4.17  cnf(i_0_3234, lemma, (in(X1,relation_dom(relation_dom_restriction(X2,X3)))|~relation(X2)|~in(X1,relation_dom(X2))|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_2867, lemma, (in(X1,relation_rng(relation_rng_restriction(X2,X3)))|~relation(X3)|~in(X1,relation_rng(X3))|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_3249, lemma, (apply_as_element(the_carrier(X1),the_carrier(X1),identity_on_carrier(X1),X2)=X2|empty_carrier(X1)|~one_sorted_str(X1)|~element(X2,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_1107, plain, (empty_carrier(X1)|element(esk146_2(X2,X1),the_carrier(X1))|~lattice(X1)|~in(X2,a_1_0_filter_1(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_435, plain, (in(esk71_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1137, lemma, (transitive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk151_1(X1),esk151_1(X1)),unordered_pair(esk151_1(X1),esk153_1(X1))),X1))).
% 12.82/4.17  cnf(i_0_1129, lemma, (reflexive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk150_1(X1),esk150_1(X1)),unordered_pair(esk150_1(X1),esk150_1(X1))),X1))).
% 12.82/4.17  cnf(i_0_1156, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk157_1(X1),esk157_1(X1)),unordered_pair(esk157_1(X1),esk158_1(X1))),X1))).
% 12.82/4.17  cnf(i_0_1155, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk157_1(X1),esk158_1(X1)),unordered_pair(esk158_1(X1),esk158_1(X1))),X1))).
% 12.82/4.17  cnf(i_0_1106, plain, (empty_carrier(X1)|element(esk147_2(X2,X1),the_carrier(X1))|~lattice(X1)|~in(X2,a_1_0_filter_1(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_3219, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,X2))).
% 12.82/4.17  cnf(i_0_746, plain, (empty_carrier(X1)|element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))|~lattice(X1)|~element(X2,the_carrier(poset_of_lattice(X1)))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_434, plain, (in(esk72_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1952, plain, (esk284_3(X1,X2,X3)=X3|esk276_1(X1)=esk277_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_214, plain, (in(X1,relation_dom(X2))|~relation(X2)|~function(X2)|~in(X1,relation_inverse_image(X2,X3)))).
% 12.82/4.17  cnf(i_0_3216, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,relation_dom(relation_dom_restriction(X1,X2))))).
% 12.82/4.17  cnf(i_0_250, plain, (latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|~below(X1,X2,esk27_3(X1,X2,X3))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_1928, plain, (esk284_3(X1,X2,X3)=X3|esk276_1(X1)=esk278_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2899, lemma, (in(esk459_3(X1,X2,X3),relation_dom(X3))|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 12.82/4.17  cnf(i_0_2919, lemma, (in(esk462_3(X1,X2,X3),relation_rng(X3))|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 12.82/4.17  cnf(i_0_216, plain, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|element(esk17_2(X1,X2),the_carrier(X1))|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_3065, lemma, (identity_relation(relation_dom(X1))=X1|in(esk482_2(relation_dom(X1),X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 12.82/4.17  cnf(i_0_3146, lemma, (disjoint(X1,X2)|in(esk490_2(X1,X2),set_difference(X1,set_difference(X1,X2))))).
% 12.82/4.17  cnf(i_0_260, plain, (latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|~below(X1,esk29_3(X1,X2,X3),X2)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2909, lemma, (ex_sup_of_relstr_set(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~related(X1,X3,esk461_3(X1,X2,X3))|~antisymmetric_relstr(X1)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_3040, lemma, (ex_sup_of_relstr_set(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~related(X1,X3,esk479_3(X1,X3,X2))|~antisymmetric_relstr(X1)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2927, lemma, (ex_inf_of_relstr_set(X1,X2)|~related(X1,esk464_3(X1,X2,X3),X3)|~relstr_element_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_3060, lemma, (ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_2471, lemma, (in(X1,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,esk400_2(X2,X3)))).
% 12.82/4.17  cnf(i_0_330, plain, (X1=set_meet(X2)|X2=empty_set|~in(esk47_2(X2,X1),esk48_2(X2,X1))|~in(esk47_2(X2,X1),X1))).
% 12.82/4.17  cnf(i_0_343, plain, (open_subsets(X1,X2)|in(esk50_2(X2,X1),X1)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 12.82/4.17  cnf(i_0_337, plain, (esk49_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk49_2(X1,X2),X2))).
% 12.82/4.17  cnf(i_0_1902, plain, (in(esk285_3(X1,X2,X3),X1)|esk278_1(X1)!=esk277_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_997, plain, (reflexive_relstr(rel_str_of(X1,X2))|~antisymmetric(X2)|~reflexive(X2)|~transitive(X2)|~v1_partfun1(X2,X1,X1)|~relation_of2(X2,X1,X1))).
% 12.82/4.17  cnf(i_0_996, plain, (transitive_relstr(rel_str_of(X1,X2))|~antisymmetric(X2)|~reflexive(X2)|~transitive(X2)|~v1_partfun1(X2,X1,X1)|~relation_of2(X2,X1,X1))).
% 12.82/4.17  cnf(i_0_3106, lemma, (set_union2(esk486_1(X1),unordered_pair(esk486_1(X1),esk486_1(X1)))=X1|being_limit_ordinal(X1)|~ordinal(X1))).
% 12.82/4.17  cnf(i_0_413, plain, (closed_subsets(X1,X2)|in(esk67_2(X2,X1),X1)|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 12.82/4.17  cnf(i_0_2850, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~element(X2,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk454_2(X3,X1)))).
% 12.82/4.17  cnf(i_0_3130, lemma, (subset(X1,X2)|~topological_space(X3)|~top_str(X3)|~element(X2,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk489_2(X3,X1)))).
% 12.82/4.17  cnf(i_0_3300, plain, (X1=empty_set|epred1_0|in(esk505_1(X1),X1)|esk502_0!=empty_set|~element(X1,powerset(powerset(esk504_0)))|~in(esk504_0,omega))).
% 12.82/4.17  cnf(i_0_3307, plain, (epred1_0|element(esk502_0,powerset(powerset(empty_set)))|in(set_union2(esk504_0,unordered_pair(esk504_0,esk504_0)),omega))).
% 12.82/4.17  cnf(i_0_995, plain, (antisymmetric_relstr(rel_str_of(X1,X2))|~antisymmetric(X2)|~reflexive(X2)|~transitive(X2)|~v1_partfun1(X2,X1,X1)|~relation_of2(X2,X1,X1))).
% 12.82/4.17  cnf(i_0_1513, lemma, (X1=unordered_pair(X2,X2)|esk217_1(X3)!=esk216_1(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk218_1(X3)))).
% 12.82/4.17  cnf(i_0_334, plain, (X1=empty_set|in(X2,X3)|~in(X2,set_meet(X1))|~in(X3,X1))).
% 12.82/4.17  cnf(i_0_3009, lemma, (esk476_1(X1)=empty_set|in(apply(esk477_1(X1),X2),X2)|~in(X2,X1))).
% 12.82/4.17  cnf(i_0_3055, lemma, (X1=empty_set|ordinal_subset(esk481_2(X1,X2),X3)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X3)|~in(X3,X1))).
% 12.82/4.17  cnf(i_0_892, plain, (empty_carrier(X1)|v1_partfun1(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1)|~join_commutative(X1))).
% 12.82/4.17  cnf(i_0_972, plain, (empty_carrier(X1)|v1_partfun1(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1)|~join_associative(X1))).
% 12.82/4.17  cnf(i_0_1026, plain, (empty_carrier(X1)|v1_partfun1(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1)|~meet_commutative(X1))).
% 12.82/4.17  cnf(i_0_364, plain, (the_InternalRel(incl_POSet(relation_field(X1)))=X1|in(esk55_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))).
% 12.82/4.17  cnf(i_0_3131, 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,esk489_2(X2,X3)))).
% 12.82/4.17  cnf(i_0_2498, lemma, (in(relation_image(X1,X2),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk415_3(X4,X3,X1)))).
% 12.82/4.17  cnf(i_0_511, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_333, plain, (X1=empty_set|in(esk46_3(X1,set_meet(X1),X2),X1)|in(X2,set_meet(X1)))).
% 12.82/4.17  cnf(i_0_1056, plain, (empty_carrier(X1)|v1_partfun1(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1)|~meet_associative(X1))).
% 12.82/4.17  cnf(i_0_3028, plain, (X1=X2|in(esk478_2(X1,X2),X1)|in(esk478_2(X1,X2),X2))).
% 12.82/4.17  cnf(i_0_426, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))).
% 12.82/4.17  cnf(i_0_606, plain, (meet_absorbing(X1)|empty_carrier(X1)|join(X1,meet(X1,esk117_1(X1),esk118_1(X1)),esk118_1(X1))!=esk118_1(X1)|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2381, plain, (esk381_3(X1,X2,X3)=X3|esk376_2(X1,X2)!=esk375_2(X1,X2)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_371, plain, (X1=powerset(X2)|subset(esk58_2(X2,X1),X2)|in(esk58_2(X2,X1),X1))).
% 12.82/4.17  cnf(i_0_1592, lemma, (relation(esk227_2(X1,X2))|in(esk224_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_3117, lemma, (related(X1,bottom_of_relstr(X1),X2)|empty_carrier(X1)|~lower_bounded_relstr(X1)|~antisymmetric_relstr(X1)|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_363, plain, (the_InternalRel(incl_POSet(relation_field(X1)))=X1|in(esk56_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))).
% 12.82/4.17  cnf(i_0_2984, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|in(esk471_3(X2,X1,X3),X1)|~relation_of2_as_subset(X3,X1,X2))).
% 12.82/4.17  cnf(i_0_2466, lemma, (esk399_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk398_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1885, plain, (in(unordered_pair(X1,X1),esk274_1(X2))|esk273_1(X2)!=esk272_1(X2)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_2991, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|in(esk473_3(X1,X2,X3),X2)|~relation_of2_as_subset(X3,X1,X2))).
% 12.82/4.17  cnf(i_0_464, plain, (X1=empty_set|in(esk83_3(X2,X3,X1),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 12.82/4.17  cnf(i_0_3277, plain, (epred1_0|subset(X1,esk503_1(X1))|in(esk507_1(X2),esk506_0)|~in(X1,esk502_0)|~in(X2,esk506_0))).
% 12.82/4.17  cnf(i_0_3285, plain, (epred1_0|subset(X1,esk507_1(X1))|in(esk503_1(X2),esk502_0)|~in(X2,esk502_0)|~in(X1,esk506_0))).
% 12.82/4.17  cnf(i_0_743, plain, (element(subset_union2(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.17  cnf(i_0_440, plain, (finite(esk76_2(X1,X2))|~is_a_cover_of_carrier(X1,X2)|~compact_top_space(X1)|~open_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2499, lemma, (in(X1,powerset(relation_dom(X2)))|~relation(X2)|~function(X2)|~element(X3,powerset(powerset(X4)))|~in(X1,esk415_3(X4,X3,X2)))).
% 12.82/4.17  cnf(i_0_445, 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)))).
% 12.82/4.17  cnf(i_0_1940, plain, (esk284_3(X1,X2,X3)=X3|in(esk279_1(X1),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_752, plain, (element(subset_intersection2(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.17  cnf(i_0_758, plain, (element(subset_difference(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.17  cnf(i_0_804, plain, (point_neighbourhood(esk140_2(X1,X2),X1,X2)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|~element(X2,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_2954, lemma, (join(boole_lattice(X1),X2,X3)=set_union2(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.17  cnf(i_0_292, plain, (X1=boole_lattice(X2)|element(esk35_2(X2,X1),powerset(X2))|powerset(X2)!=the_carrier(X1)|~strict_latt_str(X1)|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_1916, plain, (esk284_3(X1,X2,X3)=X3|in(esk281_1(X1),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2995, lemma, (X1=X2|~related(X3,X2,X1)|~related(X3,X1,X2)|~antisymmetric_relstr(X3)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3))|~rel_str(X3))).
% 12.82/4.17  cnf(i_0_1114, plain, (esk149_3(X1,X2,X3)=X1|empty_carrier(X2)|~complete_latt_str(X2)|~lattice(X2)|~in(X1,a_2_3_lattice3(X2,X3))|~latt_str(X2))).
% 12.82/4.17  cnf(i_0_2902, lemma, (relation_image(X1,set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2)))=relation_image(X1,X2)|~relation(X1))).
% 12.82/4.17  cnf(i_0_1412, plain, (unordered_pair_as_carrier_subset(X1,X2,X3)=unordered_pair(X2,X3)|empty_carrier(X1)|~one_sorted_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_1111, plain, (empty_carrier(X1)|element(esk148_3(X2,X1,X3),the_carrier(X1))|~in(X2,a_2_2_lattice3(X1,X3))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2890, lemma, (compact_top_space(X1)|empty_carrier(X1)|element(esk458_1(X1),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1))).
% 12.82/4.17  cnf(i_0_739, plain, (empty_carrier(X1)|element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1)))|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_235, plain, (in(esk21_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_image(X1,X2)))).
% 12.82/4.17  cnf(i_0_490, plain, (X1=union(X2)|in(esk93_2(X2,X1),X2)|in(esk92_2(X2,X1),X1))).
% 12.82/4.17  cnf(i_0_1434, plain, (related(X1,X2,X3)|empty_carrier(X1)|~related_reflexive(X1,X2,X3)|~reflexive_relstr(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_3255, lemma, (quasi_total(X1,empty_set,X2)|~relation_of2_as_subset(X1,empty_set,X3)|~subset(X3,X2)|~quasi_total(X1,empty_set,X3)|~function(X1))).
% 12.82/4.17  cnf(i_0_3006, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))).
% 12.82/4.17  cnf(i_0_3128, lemma, (meet_of_subsets(the_carrier(X1),esk489_2(X1,X2))=topstr_closure(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 12.82/4.17  cnf(i_0_1439, plain, (related_reflexive(X1,X2,X2)|empty_carrier(X1)|~reflexive_relstr(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2854, lemma, (element(esk454_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 12.82/4.17  cnf(i_0_3132, lemma, (element(esk489_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))).
% 12.82/4.17  cnf(i_0_244, plain, (in(esk24_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_inverse_image(X1,X2)))).
% 12.82/4.17  cnf(i_0_1886, plain, (unordered_pair(esk275_2(X1,X2),esk275_2(X1,X2))=X2|esk273_1(X1)!=esk272_1(X1)|~in(X2,esk274_1(X1)))).
% 12.82/4.17  cnf(i_0_491, plain, (X1=union(X2)|in(esk92_2(X2,X1),esk93_2(X2,X1))|in(esk92_2(X2,X1),X1))).
% 12.82/4.17  cnf(i_0_3271, plain, (epred1_0|in(set_union2(esk504_0,unordered_pair(esk504_0,esk504_0)),omega)|esk503_1(X1)!=X1|~in(X1,esk502_0))).
% 12.82/4.17  cnf(i_0_217, plain, (meet(X1,X2,esk16_1(X1))=esk16_1(X1)|empty_carrier(X1)|~meet_semilatt_str(X1)|~lower_bounded_semilattstr(X1)|~element(X2,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_218, plain, (meet(X1,esk16_1(X1),X2)=esk16_1(X1)|empty_carrier(X1)|~meet_semilatt_str(X1)|~lower_bounded_semilattstr(X1)|~element(X2,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_291, plain, (X1=boole_lattice(X2)|element(esk36_2(X2,X1),powerset(X2))|powerset(X2)!=the_carrier(X1)|~strict_latt_str(X1)|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2419, plain, (esk377_2(X1,X2)=esk375_2(X1,X2)|esk380_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2493, lemma, (in(X1,cartesian_product2(X2,X2))|~relation(X3)|~relation(X4)|~function(X3)|~in(X1,esk411_3(X2,X4,X3)))).
% 12.82/4.17  cnf(i_0_213, plain, (in(apply(X1,X2),X3)|~relation(X1)|~function(X1)|~in(X2,relation_inverse_image(X1,X3)))).
% 12.82/4.17  cnf(i_0_166, plain, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),identity_relation(X2)))).
% 12.82/4.17  cnf(i_0_3112, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|~closed_subset(esk487_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_442, plain, (subset(esk76_2(X1,X2),X2)|~is_a_cover_of_carrier(X1,X2)|~compact_top_space(X1)|~open_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_603, plain, (relstr_element_smaller(X1,X2,X3)|in(esk116_3(X1,X2,X3),X2)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_3286, plain, (epred1_0|in(esk507_1(X1),esk506_0)|in(esk503_1(X2),esk502_0)|~in(X2,esk502_0)|~in(X1,esk506_0))).
% 12.82/4.17  cnf(i_0_2395, plain, (esk378_2(X1,X2)=esk376_2(X1,X2)|esk380_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2974, lemma, (in(apply(X1,X2),relation_dom(X3))|~relation(X3)|~relation(X1)|~function(X3)|~function(X1)|~in(X2,relation_dom(relation_composition(X1,X3))))).
% 12.82/4.17  cnf(i_0_1634, lemma, (in(X1,X2)|~relation(X3)|~relation(X4)|~function(X3)|~in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),esk235_3(X2,X4,X3)))).
% 12.82/4.17  cnf(i_0_1635, lemma, (in(X1,X2)|~relation(X3)|~relation(X4)|~function(X3)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),esk235_3(X2,X4,X3)))).
% 12.82/4.17  cnf(i_0_3104, lemma, (in(set_union2(X1,unordered_pair(X1,X1)),X2)|~being_limit_ordinal(X2)|~ordinal(X2)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_2881, lemma, (union_of_subsets(X1,complements_of_subsets(X1,X2))=subset_complement(X1,meet_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))).
% 12.82/4.17  cnf(i_0_657, plain, (relstr_set_smaller(X1,X2,X3)|in(esk131_3(X1,X2,X3),X2)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2960, lemma, (directed_subset(X1,X2)|empty_carrier(X2)|finite(esk470_2(X2,X1))|~transitive_relstr(X2)|~element(X1,powerset(the_carrier(X2)))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_604, plain, (relstr_element_smaller(X1,X2,X3)|element(esk116_3(X1,X2,X3),the_carrier(X1))|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_521, plain, (apply(X1,esk97_3(X1,relation_rng(X1),X2))=X2|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 12.82/4.17  cnf(i_0_2877, 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))))).
% 12.82/4.17  cnf(i_0_1979, plain, (subset(X1,X2)|esk298_2(X3,X1)!=esk297_2(X3,X1)|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk301_2(X3,X1)))).
% 12.82/4.17  cnf(i_0_649, plain, (related(X1,X2,esk127_2(X1,X3))|~relstr_element_smaller(X1,X3,X2)|~ex_inf_of_relstr_set(X1,X3)|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_593, plain, (related(X1,esk110_2(X1,X2),X3)|~relstr_set_smaller(X1,X2,X3)|~ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_3118, lemma, (in(X1,topstr_closure(X2,X3))|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))|~in(X1,esk488_3(X2,X3,X1))|~in(X1,the_carrier(X2)))).
% 12.82/4.17  cnf(i_0_1950, plain, (esk276_1(X1)=esk277_1(X1)|in(esk285_3(X1,X2,X3),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_658, plain, (relstr_set_smaller(X1,X2,X3)|element(esk131_3(X1,X2,X3),the_carrier(X1))|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_3180, lemma, (apply(X1,apply(function_inverse(X1),X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 12.82/4.17  cnf(i_0_3179, lemma, (apply(relation_composition(function_inverse(X1),X1),X2)=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 12.82/4.17  cnf(i_0_712, 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)))).
% 12.82/4.17  cnf(i_0_452, plain, (X1=X2|in(X1,X2)|in(X2,X1)|~epsilon_connected(X3)|~in(X2,X3)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_1926, plain, (esk276_1(X1)=esk278_1(X1)|in(esk285_3(X1,X2,X3),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_3007, lemma, (latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|~relstr_element_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2))|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_3034, lemma, (latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|~relstr_set_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2))|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_868, plain, (trivial_carrier(rel_str_of(unordered_pair(X1,X1),X2))|~relation_of2(X2,unordered_pair(X1,X1),unordered_pair(X1,X1)))).
% 12.82/4.17  cnf(i_0_1494, lemma, (function(esk212_2(X1,X2))|empty(X1)|in(esk208_2(X1,X2),esk210_2(X1,X2))|~relation(X2))).
% 12.82/4.17  cnf(i_0_683, 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)))).
% 12.82/4.17  cnf(i_0_2857, lemma, (element(esk456_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_552, 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))))).
% 12.82/4.17  cnf(i_0_2941, lemma, (X1=esk465_2(X2,X3)|X3=empty_set|~subset(esk465_2(X2,X3),X1)|~finite(X2)|~element(X3,powerset(powerset(X2)))|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_2685, lemma, (unordered_pair(esk431_1(X1),esk431_1(X1))=esk432_1(X1)|function(esk435_1(X1)))).
% 12.82/4.17  cnf(i_0_578, plain, (ex_sup_of_relstr_set(X1,X2)|esk113_3(X1,X2,X3)!=X3|~relstr_set_smaller(X1,X2,X3)|~related(X1,X3,esk112_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_634, plain, (ex_inf_of_relstr_set(X1,X2)|esk130_3(X1,X2,X3)!=X3|~related(X1,esk129_3(X1,X2,X3),X3)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2504, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk416_2(X3,X2)))).
% 12.82/4.17  cnf(i_0_1462, lemma, (function(esk212_2(X1,X2))|empty(X1)|in(esk209_2(X1,X2),esk211_2(X1,X2))|~relation(X2))).
% 12.82/4.17  cnf(i_0_274, plain, (X1=X2|X1=X3|X1=X4|~in(X1,unordered_triple(X4,X3,X2)))).
% 12.82/4.17  cnf(i_0_344, plain, (open_subsets(X1,X2)|element(esk50_2(X2,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 12.82/4.17  cnf(i_0_414, plain, (closed_subsets(X1,X2)|element(esk67_2(X2,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(powerset(the_carrier(X2)))))).
% 12.82/4.17  cnf(i_0_2686, lemma, (unordered_pair(esk431_1(X1),esk431_1(X1))=esk432_1(X1)|relation(esk435_1(X1)))).
% 12.82/4.17  cnf(i_0_3041, lemma, (X1=join_on_relstr(X2,X3)|~relstr_set_smaller(X2,X3,X1)|~related(X2,X1,esk479_3(X2,X1,X3))|~antisymmetric_relstr(X2)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_520, plain, (in(apply(X1,X2),relation_rng(X1))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 12.82/4.17  cnf(i_0_1495, lemma, (relation(esk212_2(X1,X2))|empty(X1)|in(esk208_2(X1,X2),esk210_2(X1,X2))|~relation(X2))).
% 12.82/4.17  cnf(i_0_212, plain, (in(X1,relation_inverse_image(X2,X3))|~relation(X2)|~function(X2)|~in(apply(X2,X1),X3)|~in(X1,relation_dom(X2)))).
% 12.82/4.17  cnf(i_0_2418, plain, (esk377_2(X1,X2)=esk375_2(X1,X2)|ordinal(esk381_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2394, plain, (esk378_2(X1,X2)=esk376_2(X1,X2)|ordinal(esk381_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_446, 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)))).
% 12.82/4.17  cnf(i_0_2677, lemma, (unordered_pair(esk431_1(X1),esk431_1(X1))=esk433_1(X1)|function(esk435_1(X1)))).
% 12.82/4.17  cnf(i_0_2891, lemma, (empty_carrier(X1)|meet_of_subsets(the_carrier(X1),X2)!=empty_set|~compact_top_space(X1)|~closed_subsets(X2,X1)|~centered(X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_1109, plain, (latt_set_smaller(X1,esk148_3(X2,X1,X3),X3)|empty_carrier(X1)|~in(X2,a_2_2_lattice3(X1,X3))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2990, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(X4,esk473_3(X1,X2,X3)),unordered_pair(X4,X4)),X3))).
% 12.82/4.17  cnf(i_0_1463, lemma, (relation(esk212_2(X1,X2))|empty(X1)|in(esk209_2(X1,X2),esk211_2(X1,X2))|~relation(X2))).
% 12.82/4.17  cnf(i_0_3153, lemma, (X1=empty_set|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))).
% 12.82/4.17  cnf(i_0_158, plain, (subset_union2(X1,X2,X3)=subset_union2(X1,X3,X2)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.17  cnf(i_0_159, plain, (subset_intersection2(X1,X2,X3)=subset_intersection2(X1,X3,X2)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.17  cnf(i_0_194, plain, (in(esk8_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 12.82/4.17  cnf(i_0_1892, plain, (unordered_pair(esk275_2(X1,X2),esk275_2(X1,X2))=X2|in(esk271_1(X1),X1)|~in(X2,esk274_1(X1)))).
% 12.82/4.17  cnf(i_0_441, plain, (is_a_cover_of_carrier(X1,esk76_2(X1,X2))|~is_a_cover_of_carrier(X1,X2)|~compact_top_space(X1)|~open_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_345, plain, (open_subset(X1,X2)|~open_subsets(X3,X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_415, plain, (closed_subset(X1,X2)|~closed_subsets(X3,X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_1433, plain, (related_reflexive(X1,X2,X3)|empty_carrier(X1)|~related(X1,X2,X3)|~reflexive_relstr(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_3032, lemma, (related_reflexive(incl_POSet(powerset(X1)),X2,X3)|~subset(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.17  cnf(i_0_2482, 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,esk403_3(X2,X3,X4)))).
% 12.82/4.17  cnf(i_0_419, plain, (X1=empty_set|disjoint(fiber(X2,esk68_2(X2,X1)),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 12.82/4.17  cnf(i_0_2834, lemma, (X1=empty_set|in(esk452_2(X2,X1),X1)|esk450_0!=empty_set|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_522, plain, (in(esk97_3(X1,relation_rng(X1),X2),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 12.82/4.17  cnf(i_0_356, plain, (X1=fiber(X2,X3)|in(esk54_3(X2,X3,X1),X1)|esk54_3(X2,X3,X1)!=X3|~relation(X2))).
% 12.82/4.17  cnf(i_0_659, plain, (related(X1,X2,X3)|~relstr_set_smaller(X1,X4,X3)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~in(X2,X4)|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_605, plain, (related(X1,X2,X3)|~relstr_element_smaller(X1,X4,X2)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~in(X3,X4)|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_664, plain, (X1=join_on_relstr(X2,X3)|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~related(X2,X1,esk132_3(X2,X3,X1))|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_3306, plain, (epred1_0|element(esk506_0,powerset(powerset(set_union2(esk504_0,unordered_pair(esk504_0,esk504_0)))))|element(esk502_0,powerset(powerset(empty_set))))).
% 12.82/4.17  cnf(i_0_308, plain, (topological_space(X1)|subset(esk39_1(X1),the_topology(X1))|in(esk40_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_307, plain, (topological_space(X1)|subset(esk39_1(X1),the_topology(X1))|in(esk41_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_317, 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)))))).
% 12.82/4.17  cnf(i_0_310, plain, (topological_space(X1)|subset(esk39_1(X1),the_topology(X1))|element(esk40_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_2678, lemma, (unordered_pair(esk431_1(X1),esk431_1(X1))=esk433_1(X1)|relation(esk435_1(X1)))).
% 12.82/4.17  cnf(i_0_590, plain, (X1=esk110_2(X2,X3)|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~related(X2,X1,esk111_3(X2,X3,X1))|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_170, plain, (X1=meet_on_relstr(X2,X3)|~related(X2,esk3_3(X2,X3,X1),X1)|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_646, plain, (X1=esk127_2(X2,X3)|~related(X2,esk128_3(X2,X3,X1),X1)|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_215, plain, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|meet(X1,X2,esk17_2(X1,X2))!=X2|meet(X1,esk17_2(X1,X2),X2)!=X2|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_331, plain, (X1=set_meet(X2)|X2=empty_set|in(esk48_2(X2,X1),X2)|~in(esk47_2(X2,X1),X1))).
% 12.82/4.17  cnf(i_0_309, plain, (topological_space(X1)|subset(esk39_1(X1),the_topology(X1))|element(esk41_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_255, plain, (X1=bottom_of_semilattstr(X2)|empty_carrier(X2)|element(esk28_2(X2,X1),the_carrier(X2))|~meet_semilatt_str(X2)|~lower_bounded_semilattstr(X2)|~element(X1,the_carrier(X2)))).
% 12.82/4.17  cnf(i_0_1905, plain, (in(esk284_3(X1,X2,X3),cartesian_product2(X1,X2))|esk278_1(X1)!=esk277_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2684, lemma, (unordered_pair(esk431_1(X1),esk431_1(X1))=esk432_1(X1)|relation_dom(esk435_1(X1))=X1)).
% 12.82/4.17  cnf(i_0_2380, plain, (in(esk381_3(X1,X2,X3),X1)|esk376_2(X1,X2)!=esk375_2(X1,X2)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2465, lemma, (closed_subset(esk399_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk398_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2438, lemma, (empty(X1)|in(esk383_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk382_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2475, lemma, (in(X1,powerset(X2))|~ordinal(X2)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~in(X1,esk401_2(X2,X3)))).
% 12.82/4.17  cnf(i_0_2423, plain, (esk381_3(X1,X2,X3)=X3|ordinal(esk377_2(X1,X2))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_734, plain, (empty_carrier(X1)|empty_carrier(X2)|element(apply_netmap(X1,X2,X3),the_carrier(X1))|~net_str(X2,X1)|~one_sorted_str(X1)|~element(X3,the_carrier(X2)))).
% 12.82/4.17  cnf(i_0_3299, plain, (X1=esk505_1(X2)|X2=empty_set|epred1_0|esk502_0!=empty_set|~subset(esk505_1(X2),X1)|~element(X2,powerset(powerset(esk504_0)))|~in(esk504_0,omega)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_716, plain, (empty_carrier(X1)|element(unordered_pair_as_carrier_subset(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_2399, plain, (esk381_3(X1,X2,X3)=X3|ordinal(esk378_2(X1,X2))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2676, lemma, (unordered_pair(esk431_1(X1),esk431_1(X1))=esk433_1(X1)|relation_dom(esk435_1(X1))=X1)).
% 12.82/4.17  cnf(i_0_2930, lemma, (related(X1,X2,esk463_2(X1,X3))|~relstr_element_smaller(X1,X3,X2)|~ex_inf_of_relstr_set(X1,X3)|~antisymmetric_relstr(X1)|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2912, lemma, (related(X1,esk460_2(X1,X2),X3)|~relstr_set_smaller(X1,X2,X3)|~ex_sup_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2425, plain, (esk380_3(X1,X2,X3)=X3|ordinal(esk377_2(X1,X2))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2401, plain, (esk380_3(X1,X2,X3)=X3|ordinal(esk378_2(X1,X2))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1591, lemma, (function(esk227_2(X1,X2))|in(esk224_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_341, 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))))).
% 12.82/4.17  cnf(i_0_3072, lemma, (latt_set_smaller(X1,meet_of_latt_set(X1,X2),X2)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_1953, plain, (esk276_1(X1)=esk277_1(X1)|in(esk284_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_3018, lemma, (relstr_element_smaller(poset_of_lattice(X1),X2,X3)|empty_carrier(X1)|~latt_set_smaller(X1,cast_to_el_of_lattice(X1,X3),X2)|~lattice(X1)|~element(X3,the_carrier(poset_of_lattice(X1)))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_3048, lemma, (relstr_set_smaller(poset_of_lattice(X1),X2,X3)|empty_carrier(X1)|~latt_element_smaller(X1,cast_to_el_of_lattice(X1,X3),X2)|~lattice(X1)|~element(X3,the_carrier(poset_of_lattice(X1)))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_3002, 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)))).
% 12.82/4.17  cnf(i_0_3258, lemma, (X1=empty_set|quasi_total(X2,X3,X4)|~relation_of2_as_subset(X2,X3,X1)|~subset(X1,X4)|~quasi_total(X2,X3,X1)|~function(X2))).
% 12.82/4.17  cnf(i_0_1929, plain, (esk276_1(X1)=esk278_1(X1)|in(esk284_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2959, lemma, (empty_carrier(X1)|element(esk470_2(X1,X2),powerset(X2))|~transitive_relstr(X1)|~empty(X2)|~element(X2,powerset(the_carrier(X1)))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_652, plain, (subnetstr(X1,X2,X3)|relation_dom_restr_as_relation_of(the_carrier(X3),the_carrier(X2),the_mapping(X2,X3),the_carrier(X1))!=the_mapping(X2,X1)|~subrelstr(X1,X3)|~net_str(X3,X2)|~net_str(X1,X2)|~one_sorted_str(X2))).
% 12.82/4.17  cnf(i_0_1623, lemma, (X1=empty_set|in(esk234_2(X2,X1),X1)|esk230_0!=empty_set|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_1617, lemma, (X1=empty_set|in(esk234_2(X2,X1),X1)|esk232_0!=empty_set|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_379, plain, (latt_element_smaller(X1,join_of_latt_set(X1,X2),X2)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_3139, 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))))).
% 12.82/4.17  cnf(i_0_3176, 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))))).
% 12.82/4.17  cnf(i_0_2455, lemma, (in(X1,esk393_1(X2))|esk396_3(X2,X1,X1)!=empty_set|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 12.82/4.17  cnf(i_0_3137, 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))))).
% 12.82/4.17  cnf(i_0_730, 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)))).
% 12.82/4.17  cnf(i_0_740, 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)))).
% 12.82/4.17  cnf(i_0_186, plain, (empty_carrier(X1)|empty_carrier(X2)|element(esk6_3(X1,X2,X3),the_carrier(X2))|~is_eventually_in(X1,X2,X3)|~net_str(X2,X1)|~one_sorted_str(X1))).
% 12.82/4.17  cnf(i_0_2981, 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))))).
% 12.82/4.17  cnf(i_0_1891, plain, (in(unordered_pair(X1,X1),esk274_1(X2))|in(esk271_1(X2),X2)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_3127, lemma, (X1=empty_set|in(X2,X3)|~relation_of2_as_subset(X4,X3,X1)|~quasi_total(X4,X3,X1)|~function(X4)|~in(X2,relation_inverse_image(X4,X5)))).
% 12.82/4.17  cnf(i_0_181, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_dom_restriction(X3,X2)))).
% 12.82/4.17  cnf(i_0_1938, plain, (in(esk285_3(X1,X2,X3),X1)|in(esk279_1(X1),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_201, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_rng_restriction(X2,X3)))).
% 12.82/4.17  cnf(i_0_2701, lemma, (function(esk441_2(X1,X2))|subset_complement(the_carrier(X1),esk440_3(X1,X2,X3))!=X3|esk437_2(X1,X2)!=esk438_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2765, lemma, (function(esk447_2(X1,X2))|subset_complement(the_carrier(X1),esk446_3(X1,X2,X3))!=X3|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2702, lemma, (relation(esk441_2(X1,X2))|subset_complement(the_carrier(X1),esk440_3(X1,X2,X3))!=X3|esk437_2(X1,X2)!=esk438_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_266, plain, (empty_carrier(X1)|in(X2,interior(X1,X3))|~point_neighbourhood(X3,X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_660, plain, (related(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),the_InternalRel(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_536, plain, (X1=relation_rng(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,esk102_2(X2,X1)),unordered_pair(X3,X3)),X2)|~in(esk102_2(X2,X1),X1))).
% 12.82/4.17  cnf(i_0_1642, plain, (empty(X1)|in(esk242_3(X1,X2,X3),X1)|esk238_2(X1,X2)!=esk237_2(X1,X2)|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1914, plain, (in(esk285_3(X1,X2,X3),X1)|in(esk281_1(X1),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2766, lemma, (relation(esk447_2(X1,X2))|subset_complement(the_carrier(X1),esk446_3(X1,X2,X3))!=X3|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_303, plain, (topological_space(X1)|in(esk40_1(X1),the_topology(X1))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk39_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_302, plain, (topological_space(X1)|in(esk41_1(X1),the_topology(X1))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk39_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_2424, plain, (ordinal(esk381_3(X1,X2,X3))|ordinal(esk377_2(X1,X2))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_3280, plain, (epred1_0|subset(X1,esk503_1(X1))|in(set_union2(esk504_0,unordered_pair(esk504_0,esk504_0)),omega)|~in(X1,esk502_0))).
% 12.82/4.17  cnf(i_0_2980, 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))))).
% 12.82/4.17  cnf(i_0_1983, plain, (esk302_3(X1,X2,X3)=X3|esk298_2(X1,X2)!=esk297_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1432, plain, (below(X1,X2,X3)|empty_carrier(X1)|~below_refl(X1,X2,X3)|~join_absorbing(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_1524, lemma, (in(esk215_1(X1),X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk218_1(X1)))).
% 12.82/4.17  cnf(i_0_3013, lemma, (in(apply(esk477_1(X1),X2),X2)|in(esk476_1(X1),X1)|~in(X2,X1))).
% 12.82/4.17  cnf(i_0_2400, plain, (ordinal(esk381_3(X1,X2,X3))|ordinal(esk378_2(X1,X2))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2844, lemma, (X1=empty_set|ordinal(esk448_0)|in(esk452_2(X2,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_1153, 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)))).
% 12.82/4.17  cnf(i_0_305, plain, (topological_space(X1)|element(esk40_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk39_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_1896, plain, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk272_1(X1)|in(esk275_2(X1,X2),X1)|~in(X2,esk274_1(X1)))).
% 12.82/4.17  cnf(i_0_1445, lemma, (empty(X1)|in(X2,X1)|esk209_2(X1,X3)!=esk208_2(X1,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)),esk212_2(X1,X3)))).
% 12.82/4.17  cnf(i_0_1698, plain, (esk255_4(X1,X2,X3,X4)=X4|empty(X1)|esk247_2(X1,X2)!=esk246_2(X1,X2)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_601, 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)))).
% 12.82/4.17  cnf(i_0_1890, plain, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk273_1(X1)|in(esk275_2(X1,X2),X1)|~in(X2,esk274_1(X1)))).
% 12.82/4.17  cnf(i_0_304, plain, (topological_space(X1)|element(esk41_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(union_of_subsets(the_carrier(X1),esk39_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_2470, 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,esk400_2(X1,X3)))).
% 12.82/4.17  cnf(i_0_3243, lemma, (is_eventually_in(X1,X2,X3)|empty_carrier(X1)|empty_carrier(X2)|~is_eventually_in(X1,X2,X4)|~net_str(X2,X1)|~subset(X4,X3)|~one_sorted_str(X1))).
% 12.82/4.17  cnf(i_0_3242, lemma, (is_often_in(X1,X2,X3)|empty_carrier(X1)|empty_carrier(X2)|~is_often_in(X1,X2,X4)|~net_str(X2,X1)|~subset(X4,X3)|~one_sorted_str(X1))).
% 12.82/4.17  cnf(i_0_1894, plain, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk272_1(X1)|in(unordered_pair(X2,X2),esk274_1(X1))|~in(X2,X1))).
% 12.82/4.17  cnf(i_0_1934, plain, (unordered_pair(esk279_1(X1),esk279_1(X1))=esk280_1(X1)|esk284_3(X1,X2,X3)=X3|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1438, plain, (below_refl(X1,X2,X2)|empty_carrier(X1)|~join_absorbing(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_265, plain, (point_neighbourhood(X1,X2,X3)|empty_carrier(X2)|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,the_carrier(X2))|~in(X3,interior(X2,X1)))).
% 12.82/4.17  cnf(i_0_555, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk104_2(X1,X2),esk104_2(X1,X2)),unordered_pair(esk104_2(X1,X2),esk105_2(X1,X2))),X1))).
% 12.82/4.17  cnf(i_0_554, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk104_2(X1,X2),esk105_2(X1,X2)),unordered_pair(esk105_2(X1,X2),esk105_2(X1,X2))),X1))).
% 12.82/4.17  cnf(i_0_1910, plain, (unordered_pair(esk281_1(X1),esk281_1(X1))=esk282_1(X1)|esk284_3(X1,X2,X3)=X3|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2852, lemma, (esk455_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,esk454_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_251, plain, (latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|in(esk27_3(X1,X2,X3),X3)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_261, plain, (latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|in(esk29_3(X1,X2,X3),X3)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_1115, plain, (empty_carrier(X1)|element(esk149_3(X2,X1,X3),the_carrier(X1))|~complete_latt_str(X1)|~lattice(X1)|~in(X2,a_2_3_lattice3(X1,X3))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_3289, plain, (epred1_0|in(set_union2(esk504_0,unordered_pair(esk504_0,esk504_0)),omega)|in(esk503_1(X1),esk502_0)|~in(X1,esk502_0))).
% 12.82/4.17  cnf(i_0_618, plain, (is_transitive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk123_2(X1,X2),esk123_2(X1,X2)),unordered_pair(esk123_2(X1,X2),esk125_2(X1,X2))),X1))).
% 12.82/4.17  cnf(i_0_322, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk45_2(X1,X2),esk45_2(X1,X2)),unordered_pair(esk45_2(X1,X2),esk45_2(X1,X2))),X1))).
% 12.82/4.17  cnf(i_0_2457, lemma, (in(X1,esk393_1(X2))|in(X1,omega)|~ordinal(X2)|~ordinal(X1)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 12.82/4.17  cnf(i_0_1895, plain, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk272_1(X1)|unordered_pair(esk275_2(X1,X2),esk275_2(X1,X2))=X2|~in(X2,esk274_1(X1)))).
% 12.82/4.17  cnf(i_0_2487, lemma, (in(esk408_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk407_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_252, plain, (latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|element(esk27_3(X1,X2,X3),the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_262, plain, (latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|element(esk29_3(X1,X2,X3),the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_1419, plain, (subset_intersection2(X1,X2,X3)=set_difference(X2,set_difference(X2,X3))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.17  cnf(i_0_1888, plain, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk273_1(X1)|in(unordered_pair(X2,X2),esk274_1(X1))|~in(X2,X1))).
% 12.82/4.17  cnf(i_0_1889, plain, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk273_1(X1)|unordered_pair(esk275_2(X1,X2),esk275_2(X1,X2))=X2|~in(X2,esk274_1(X1)))).
% 12.82/4.17  cnf(i_0_3126, lemma, (X1=empty_set|in(apply(X2,X3),X4)|~relation_of2_as_subset(X2,X5,X1)|~quasi_total(X2,X5,X1)|~function(X2)|~in(X3,relation_inverse_image(X2,X4)))).
% 12.82/4.17  cnf(i_0_1108, plain, (empty_carrier(X1)|in(X2,a_2_2_lattice3(X1,X3))|~latt_set_smaller(X1,X2,X3)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2429, plain, (esk374_2(X1,X2)=esk375_2(X1,X2)|esk381_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_463, plain, (X1=empty_set|disjoint(fiber(X2,esk83_3(X2,X3,X1)),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 12.82/4.17  cnf(i_0_2764, lemma, (relation_dom(esk447_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk446_3(X1,X2,X3))!=X3|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2021, plain, (subset(X1,esk297_2(X2,X1))|subset(X1,X3)|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk301_2(X2,X1)))).
% 12.82/4.17  cnf(i_0_1986, plain, (subset(X1,esk298_2(X2,X1))|subset(X1,X3)|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk301_2(X2,X1)))).
% 12.82/4.17  cnf(i_0_193, plain, (apply(X1,esk8_4(X1,X2,relation_image(X1,X2),X3))=X3|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 12.82/4.17  cnf(i_0_2405, plain, (esk374_2(X1,X2)=esk376_2(X1,X2)|esk381_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2437, lemma, (esk385_4(X1,X2,X3,X4)=esk383_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk382_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_519, plain, (X1=relation_rng(X2)|esk98_2(X2,X1)!=apply(X2,X3)|~relation(X2)|~function(X2)|~in(esk98_2(X2,X1),X1)|~in(X3,relation_dom(X2)))).
% 12.82/4.17  cnf(i_0_3181, lemma, (point_neighbourhood(X1,X2,X3)|empty_carrier(X2)|~topological_space(X2)|~open_subset(X1,X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,X1))).
% 12.82/4.17  cnf(i_0_1641, plain, (esk242_3(X1,X2,X3)=esk243_3(X1,X2,X3)|empty(X1)|esk238_2(X1,X2)!=esk237_2(X1,X2)|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2417, plain, (esk377_2(X1,X2)=esk375_2(X1,X2)|esk381_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1556, lemma, (function(esk222_2(X1,X2))|in(esk219_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_1557, lemma, (relation(esk222_2(X1,X2))|in(esk219_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2393, plain, (esk378_2(X1,X2)=esk376_2(X1,X2)|esk381_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_508, plain, (X1=set_difference(X2,X3)|in(esk95_3(X2,X3,X1),X1)|~in(esk95_3(X2,X3,X1),X3))).
% 12.82/4.17  cnf(i_0_346, plain, (directed_subset(X1,X2)|~related(X2,esk52_2(X2,X1),X3)|~related(X2,esk53_2(X2,X1),X3)|~element(X1,powerset(the_carrier(X2)))|~in(X3,X1)|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_2057, plain, (esk308_3(X1,X2,X3)=X3|esk306_2(X1,X2)!=esk305_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2431, plain, (esk374_2(X1,X2)=esk375_2(X1,X2)|esk380_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1414, 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)))).
% 12.82/4.17  cnf(i_0_1413, 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)))).
% 12.82/4.17  cnf(i_0_195, plain, (in(esk8_4(X1,X2,relation_image(X1,X2),X3),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 12.82/4.17  cnf(i_0_2407, plain, (esk374_2(X1,X2)=esk376_2(X1,X2)|esk380_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2307, plain, (esk361_4(X1,X2,X3,X4)=X4|esk355_3(X1,X2,X3)!=esk354_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1113, plain, (latt_set_smaller(X1,esk149_3(X2,X1,X3),X3)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~in(X2,a_2_3_lattice3(X1,X3))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2956, lemma, (directed_subset(X1,X2)|empty_carrier(X2)|~relstr_set_smaller(X2,esk470_2(X2,X1),X3)|~transitive_relstr(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,X1)|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_3214, lemma, (empty_carrier(X1)|~point_neighbourhood(X2,X1,X3)|~topological_space(X1)|~disjoint(X2,X4)|~top_str(X1)|~element(X4,powerset(the_carrier(X1)))|~element(X3,the_carrier(X1))|~in(X3,topstr_closure(X1,X4)))).
% 12.82/4.17  cnf(i_0_264, plain, (apply(X1,unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))=apply_binary(X1,X2,X3)|~relation(X1)|~function(X1))).
% 12.82/4.17  cnf(i_0_152, plain, (unordered_pair_as_carrier_subset(X1,X2,X3)=unordered_pair_as_carrier_subset(X1,X3,X2)|empty_carrier(X1)|~one_sorted_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_1131, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~reflexive(X2)|~relation(X2)|~in(X1,relation_field(X2)))).
% 12.82/4.17  cnf(i_0_3119, lemma, (subset(X1,esk488_3(X2,X1,X3))|in(X3,topstr_closure(X2,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,the_carrier(X2)))).
% 12.82/4.17  cnf(i_0_1631, lemma, (X1=empty_set|ordinal(esk230_0)|in(esk234_2(X2,X1),X1)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_256, plain, (meet(X1,X2,bottom_of_semilattstr(X1))=bottom_of_semilattstr(X1)|empty_carrier(X1)|~meet_semilatt_str(X1)|~lower_bounded_semilattstr(X1)|~element(X2,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_1941, plain, (in(esk284_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk279_1(X1),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_234, plain, (in(X1,relation_image(X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X2)|~in(X4,X3))).
% 12.82/4.17  cnf(i_0_243, 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))).
% 12.82/4.17  cnf(i_0_1917, plain, (in(esk284_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk281_1(X1),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_257, plain, (meet(X1,bottom_of_semilattstr(X1),X2)=bottom_of_semilattstr(X1)|empty_carrier(X1)|~meet_semilatt_str(X1)|~lower_bounded_semilattstr(X1)|~element(X2,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_2777, lemma, (function(esk447_2(X1,X2))|in(esk445_2(X1,X2),X2)|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2778, lemma, (relation(esk447_2(X1,X2))|in(esk445_2(X1,X2),X2)|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_3273, plain, (X1=empty_set|epred1_0|in(esk505_1(X1),X1)|esk503_1(X2)!=X2|~element(X1,powerset(powerset(esk504_0)))|~in(esk504_0,omega)|~in(X2,esk502_0))).
% 12.82/4.17  cnf(i_0_518, plain, (X1=relation_rng(X2)|in(esk99_2(X2,X1),relation_dom(X2))|in(esk98_2(X2,X1),X1)|~relation(X2)|~function(X2))).
% 12.82/4.17  cnf(i_0_2665, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(esk427_2(X1,X2),X1)|in(esk422_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_3177, 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))))).
% 12.82/4.17  cnf(i_0_2855, lemma, (in(X1,esk456_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))).
% 12.82/4.17  cnf(i_0_2469, lemma, (in(X1,esk400_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))))).
% 12.82/4.17  cnf(i_0_2666, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(esk427_2(X1,X2),X1)|in(esk422_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_358, plain, (X1=X2|in(X1,fiber(X3,X2))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3))).
% 12.82/4.17  cnf(i_0_2411, plain, (esk381_3(X1,X2,X3)=X3|in(esk377_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2387, plain, (esk381_3(X1,X2,X3)=X3|in(esk378_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2413, plain, (esk380_3(X1,X2,X3)=X3|in(esk377_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_3309, plain, (X1=empty_set|epred1_0|element(esk502_0,powerset(powerset(empty_set)))|in(esk505_1(X1),X1)|~element(X1,powerset(powerset(esk504_0)))|~in(esk504_0,omega))).
% 12.82/4.17  cnf(i_0_282, plain, (function(X1)|in(unordered_pair(unordered_pair(esk32_1(X1),esk32_1(X1)),unordered_pair(esk32_1(X1),esk33_1(X1))),X1))).
% 12.82/4.17  cnf(i_0_3129, lemma, (in(X1,esk489_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))))).
% 12.82/4.17  cnf(i_0_1431, plain, (below_refl(X1,X2,X3)|empty_carrier(X1)|~below(X1,X2,X3)|~join_absorbing(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_263, plain, (below(X1,X2,X3)|empty_carrier(X1)|~latt_element_smaller(X1,X3,X4)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~in(X2,X4)|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_253, plain, (below(X1,X2,X3)|empty_carrier(X1)|~latt_set_smaller(X1,X2,X4)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~in(X3,X4)|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_281, plain, (function(X1)|in(unordered_pair(unordered_pair(esk32_1(X1),esk32_1(X1)),unordered_pair(esk32_1(X1),esk34_1(X1))),X1))).
% 12.82/4.17  cnf(i_0_2389, plain, (esk380_3(X1,X2,X3)=X3|in(esk378_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_3270, plain, (epred1_0|element(esk506_0,powerset(powerset(set_union2(esk504_0,unordered_pair(esk504_0,esk504_0)))))|esk503_1(X1)!=X1|~in(X1,esk502_0))).
% 12.82/4.17  cnf(i_0_2838, lemma, (X1=empty_set|in(esk452_2(X2,X1),X1)|in(esk448_0,omega)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_306, plain, (topological_space(X1)|subset(esk39_1(X1),the_topology(X1))|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk40_1(X1),esk41_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_404, plain, (esk66_3(X1,X2,X3)=X1|esk66_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk66_3(X1,X2,X3),X3))).
% 12.82/4.17  cnf(i_0_1104, plain, (below_refl(X1,esk146_2(X2,X1),esk147_2(X2,X1))|empty_carrier(X1)|~lattice(X1)|~in(X2,a_1_0_filter_1(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_1640, plain, (empty(X1)|in(X2,esk243_3(X1,X3,X2))|esk238_2(X1,X3)!=esk237_2(X1,X3)|~relation(X3)|~in(X2,esk241_2(X1,X3)))).
% 12.82/4.17  cnf(i_0_2448, lemma, (unordered_pair(esk391_3(X1,X2,X3),esk391_3(X1,X2,X3))=esk392_3(X1,X2,X3)|~in(X3,esk390_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2467, lemma, (element(esk399_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk398_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_205, plain, (is_often_in(X1,X2,X3)|empty_carrier(X1)|empty_carrier(X2)|element(esk14_3(X1,X2,X3),the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1))).
% 12.82/4.17  cnf(i_0_653, plain, (relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(X3))=the_mapping(X2,X3)|~subnetstr(X3,X2,X1)|~net_str(X1,X2)|~one_sorted_str(X2))).
% 12.82/4.17  cnf(i_0_2958, lemma, (directed_subset(X1,X2)|empty_carrier(X2)|element(esk470_2(X2,X1),powerset(X1))|~transitive_relstr(X2)|~element(X1,powerset(the_carrier(X2)))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_430, plain, (X1=cartesian_product2(X2,X3)|in(esk74_3(X2,X3,X1),X2)|in(esk73_3(X2,X3,X1),X1))).
% 12.82/4.17  cnf(i_0_3019, lemma, (latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X3)|empty_carrier(X1)|~relstr_element_smaller(poset_of_lattice(X1),X3,X2)|~lattice(X1)|~element(X2,the_carrier(poset_of_lattice(X1)))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_3049, lemma, (latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X3)|empty_carrier(X1)|~relstr_set_smaller(poset_of_lattice(X1),X3,X2)|~lattice(X1)|~element(X2,the_carrier(poset_of_lattice(X1)))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2211, plain, (in(esk339_3(X1,X2,X3),X2)|esk336_2(X1,X2)!=esk337_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk338_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1151, 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))).
% 12.82/4.17  cnf(i_0_429, plain, (X1=cartesian_product2(X2,X3)|in(esk75_3(X2,X3,X1),X3)|in(esk73_3(X2,X3,X1),X1))).
% 12.82/4.17  cnf(i_0_2430, plain, (esk374_2(X1,X2)=esk375_2(X1,X2)|ordinal(esk381_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2406, plain, (esk374_2(X1,X2)=esk376_2(X1,X2)|ordinal(esk381_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2929, lemma, (ex_inf_of_relstr_set(X1,X2)|element(esk464_3(X1,X2,X3),the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_329, plain, (X1=set_meet(X2)|X2=empty_set|in(esk47_2(X2,X1),X1)|in(esk47_2(X2,X1),X3)|~in(X3,X2))).
% 12.82/4.17  cnf(i_0_509, plain, (X1=set_difference(X2,X3)|in(esk95_3(X2,X3,X1),X2)|in(esk95_3(X2,X3,X1),X1))).
% 12.82/4.17  cnf(i_0_454, plain, (subset(X1,X2)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk80_2(X1,X2),esk80_2(X1,X2)),unordered_pair(esk80_2(X1,X2),esk81_2(X1,X2))),X2))).
% 12.82/4.17  cnf(i_0_1981, plain, (esk303_3(X1,X2,X3)=X3|esk298_2(X1,X2)!=esk297_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1576, lemma, (in(X1,X2)|esk225_2(X3,X2)!=esk226_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)),esk227_2(X3,X2)))).
% 12.82/4.17  cnf(i_0_283, 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))).
% 12.82/4.17  cnf(i_0_1974, plain, (esk292_2(X1,X2)=X2|epred2_3(esk289_1(X1),esk288_1(X1),esk287_1(X1))|~ordinal(X1)|~in(X2,esk290_1(X1)))).
% 12.82/4.17  cnf(i_0_2911, lemma, (ex_sup_of_relstr_set(X1,X2)|element(esk461_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_3044, lemma, (ex_sup_of_relstr_set(X1,X2)|element(esk479_3(X1,X3,X2),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_1965, plain, (in(esk291_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|esk288_1(X1)!=esk289_1(X1)|~ordinal(X1)|~in(X2,esk290_1(X1)))).
% 12.82/4.17  cnf(i_0_2422, plain, (ordinal(esk377_2(X1,X2))|in(esk381_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2647, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|function(esk429_2(X1,X2))|empty(X1)|in(esk427_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_1976, plain, (esk291_2(X1,X2)=X2|epred2_3(esk289_1(X1),esk288_1(X1),esk287_1(X1))|~ordinal(X1)|~in(X2,esk290_1(X1)))).
% 12.82/4.17  cnf(i_0_2141, plain, (esk331_4(X1,X2,X3,X4)=X4|esk325_2(X1,X2)!=esk324_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2238, plain, (esk349_4(X1,X2,X3,X4)=X4|esk343_2(X1,X2)!=esk342_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_192, plain, (in(apply(X1,X2),relation_image(X1,X3))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1))|~in(X2,X3))).
% 12.82/4.17  cnf(i_0_1165, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_2398, plain, (ordinal(esk378_2(X1,X2))|in(esk381_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2412, plain, (ordinal(esk381_3(X1,X2,X3))|in(esk377_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2388, plain, (ordinal(esk381_3(X1,X2,X3))|in(esk378_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_313, plain, (topological_space(X1)|element(esk39_1(X1),powerset(powerset(the_carrier(X1))))|in(esk40_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_2648, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|relation(esk429_2(X1,X2))|empty(X1)|in(esk427_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_301, plain, (topological_space(X1)|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk40_1(X1),esk41_1(X1)),the_topology(X1))|~in(union_of_subsets(the_carrier(X1),esk39_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_1423, plain, (apply_as_element(X1,X2,X3,X4)=apply(X3,X4)|empty(X1)|~quasi_total(X3,X1,X2)|~relation_of2(X3,X1,X2)|~function(X3)|~element(X4,X1))).
% 12.82/4.17  cnf(i_0_766, plain, (empty(X1)|element(apply_as_element(X1,X2,X3,X4),X2)|~quasi_total(X3,X1,X2)|~relation_of2(X3,X1,X2)|~function(X3)|~element(X4,X1))).
% 12.82/4.17  cnf(i_0_1975, plain, (epred2_3(esk289_1(X1),esk288_1(X1),esk287_1(X1))|ordinal(esk292_2(X1,X2))|~ordinal(X1)|~in(X2,esk290_1(X1)))).
% 12.82/4.17  cnf(i_0_312, plain, (topological_space(X1)|element(esk39_1(X1),powerset(powerset(the_carrier(X1))))|in(esk41_1(X1),the_topology(X1))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_2539, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(esk427_2(X1,X2),X1)|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2))).
% 12.82/4.17  cnf(i_0_2540, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(esk427_2(X1,X2),X1)|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2))).
% 12.82/4.17  cnf(i_0_3114, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|element(esk487_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_667, plain, (related(X1,join_on_relstr(X1,X2),X3)|~relstr_set_smaller(X1,X2,X3)|~ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_1932, plain, (unordered_pair(esk279_1(X1),esk279_1(X1))=esk280_1(X1)|in(esk285_3(X1,X2,X3),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_173, plain, (related(X1,X2,meet_on_relstr(X1,X3))|~relstr_element_smaller(X1,X3,X2)|~ex_inf_of_relstr_set(X1,X3)|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_254, plain, (X1=bottom_of_semilattstr(X2)|empty_carrier(X2)|meet(X2,X1,esk28_2(X2,X1))!=X1|meet(X2,esk28_2(X2,X1),X1)!=X1|~meet_semilatt_str(X2)|~lower_bounded_semilattstr(X2)|~element(X1,the_carrier(X2)))).
% 12.82/4.17  cnf(i_0_2986, 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)))).
% 12.82/4.17  cnf(i_0_1908, plain, (unordered_pair(esk281_1(X1),esk281_1(X1))=esk282_1(X1)|in(esk285_3(X1,X2,X3),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2833, lemma, (X1=esk452_2(X2,X3)|X3=empty_set|esk450_0!=empty_set|~subset(esk452_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_315, plain, (topological_space(X1)|element(esk39_1(X1),powerset(powerset(the_carrier(X1))))|element(esk40_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_314, plain, (topological_space(X1)|element(esk39_1(X1),powerset(powerset(the_carrier(X1))))|element(esk41_1(X1),powerset(the_carrier(X1)))|~top_str(X1)|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_1523, lemma, (X1=unordered_pair(X2,X2)|in(esk215_1(X3),X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk218_1(X3)))).
% 12.82/4.17  cnf(i_0_2593, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|function(esk429_2(X1,X2))|empty(X1)|in(esk427_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_3178, lemma, (X1=empty_set|in(unordered_pair(unordered_pair(esk495_1(X1),esk495_1(X1)),unordered_pair(esk495_1(X1),esk496_1(X1))),X1)|~relation(X1))).
% 12.82/4.17  cnf(i_0_1980, plain, (closed_subset(esk303_3(X1,X2,X3),X1)|esk298_2(X1,X2)!=esk297_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2446, lemma, (empty_carrier(X1)|in(X2,powerset(X3))|~transitive_relstr(X1)|~finite(X3)|~element(X4,powerset(the_carrier(X1)))|~element(X3,powerset(X4))|~in(X2,esk387_3(X1,X4,X3))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_1621, lemma, (X1=empty_set|in(esk234_2(X2,X1),X1)|in(esk230_0,omega)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_225, plain, (X1=topstr_closure(X2,X3)|in(esk19_3(X2,X3,X1),the_carrier(X2))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2))))).
% 12.82/4.17  cnf(i_0_1629, lemma, (X1=empty_set|being_limit_ordinal(esk230_0)|in(esk234_2(X2,X1),X1)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_3008, lemma, (relstr_element_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))|empty_carrier(X1)|~latt_set_smaller(X1,X3,X2)|~lattice(X1)|~element(X3,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2594, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|relation(esk429_2(X1,X2))|empty(X1)|in(esk427_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_3279, plain, (epred1_0|subset(X1,esk503_1(X1))|element(esk506_0,powerset(powerset(set_union2(esk504_0,unordered_pair(esk504_0,esk504_0)))))|~in(X1,esk502_0))).
% 12.82/4.17  cnf(i_0_375, plain, (X1=join_of_latt_set(X2,X3)|empty_carrier(X2)|~latt_element_smaller(X2,X1,X3)|~below(X2,X1,esk59_3(X2,X3,X1))|~complete_latt_str(X2)|~lattice(X2)|~element(X1,the_carrier(X2))|~latt_str(X2))).
% 12.82/4.17  cnf(i_0_3068, lemma, (X1=meet_of_latt_set(X2,X3)|empty_carrier(X2)|~below_refl(X2,esk483_3(X2,X1,X3),X1)|~latt_set_smaller(X2,X1,X3)|~complete_latt_str(X2)|~lattice(X2)|~element(X1,the_carrier(X2))|~latt_str(X2))).
% 12.82/4.17  cnf(i_0_480, plain, (X1=relation_dom(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(esk87_2(X2,X1),X3),unordered_pair(esk87_2(X2,X1),esk87_2(X2,X1))),X2)|~in(esk87_2(X2,X1),X1))).
% 12.82/4.17  cnf(i_0_2973, 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)))).
% 12.82/4.17  cnf(i_0_1684, plain, (esk239_2(X1,X2)=esk236_2(X1,X2)|empty(X1)|in(esk242_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_3035, lemma, (relstr_set_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))|empty_carrier(X1)|~latt_element_smaller(X1,X3,X2)|~lattice(X1)|~element(X3,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2049, plain, (esk296_2(X1,X2)=esk297_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2014, plain, (esk296_2(X1,X2)=esk298_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2035, plain, (esk299_2(X1,X2)=esk297_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2646, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk427_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_1660, plain, (esk240_2(X1,X2)=esk236_2(X1,X2)|empty(X1)|in(esk242_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2497, lemma, (in(X1,esk415_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))).
% 12.82/4.17  cnf(i_0_2851, lemma, (closed_subset(esk455_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,esk454_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2360, plain, (in(relation_image(X1,X2),X3)|esk371_3(X4,X3,X1)!=esk370_3(X4,X3,X1)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk372_3(X4,X3,X1)))).
% 12.82/4.17  cnf(i_0_1779, plain, (esk248_2(X1,X2)=esk250_2(X1,X2)|esk255_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_366, plain, (subset(X1,X2)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),the_InternalRel(incl_POSet(X3)))|~in(X2,X3)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_2000, plain, (esk300_2(X1,X2)=esk298_2(X1,X2)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2028, plain, (closed_subset(esk299_2(X1,X2),X1)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1993, plain, (closed_subset(esk300_2(X1,X2),X1)|subset(X2,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2592, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk427_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_1725, plain, (esk251_2(X1,X2)=esk253_2(X1,X2)|esk255_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2928, lemma, (relstr_element_smaller(X1,X2,esk464_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|~relstr_element_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2910, lemma, (relstr_set_smaller(X1,X2,esk461_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2538, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk427_2(X1,X2),X1)|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2))).
% 12.82/4.17  cnf(i_0_2700, lemma, (relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk440_3(X1,X2,X3))!=X3|esk437_2(X1,X2)!=esk438_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_3120, lemma, (closed_subset(esk488_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)))).
% 12.82/4.17  cnf(i_0_2953, lemma, (meet(boole_lattice(X1),X2,X3)=set_difference(X2,set_difference(X2,X3))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.17  cnf(i_0_3042, lemma, (relstr_set_smaller(X1,X2,esk479_3(X1,X3,X2))|ex_sup_of_relstr_set(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_3224, lemma, (below_refl(X1,X2,X3)|empty_carrier(X1)|~related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_324, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~is_reflexive_in(X2,X3)|~relation(X2)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_2428, plain, (esk374_2(X1,X2)=esk375_2(X1,X2)|in(esk381_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_609, plain, (join(X1,meet(X1,X2,X3),X3)=X3|empty_carrier(X1)|~meet_absorbing(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2667, lemma, (apply(esk435_1(X1),X2)=unordered_pair(X2,X2)|esk433_1(X1)!=esk432_1(X1)|~in(X2,X1))).
% 12.82/4.17  cnf(i_0_3045, lemma, (X1=join_on_relstr(X2,X3)|element(esk479_3(X2,X1,X3),the_carrier(X2))|~relstr_set_smaller(X2,X3,X1)|~antisymmetric_relstr(X2)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_517, plain, (apply(X1,esk99_2(X1,X2))=esk98_2(X1,X2)|X2=relation_rng(X1)|in(esk98_2(X1,X2),X2)|~relation(X1)|~function(X1))).
% 12.82/4.17  cnf(i_0_2404, plain, (esk374_2(X1,X2)=esk376_2(X1,X2)|in(esk381_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2361, plain, (esk373_4(X1,X2,X3,X4)=X4|esk371_3(X1,X2,X3)!=esk370_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk372_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1112, plain, (empty_carrier(X1)|in(X2,a_2_3_lattice3(X1,X3))|~latt_set_smaller(X1,X2,X3)|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2416, plain, (esk377_2(X1,X2)=esk375_2(X1,X2)|in(esk381_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2500, lemma, (in(X1,esk416_2(X2,X3))|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_1622, lemma, (X1=esk234_2(X2,X3)|X3=empty_set|esk230_0!=empty_set|~epred1_0|~subset(esk234_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_1616, lemma, (X1=esk234_2(X2,X3)|X3=empty_set|esk232_0!=empty_set|~epred1_0|~subset(esk234_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_2825, lemma, (function(esk447_2(X1,X2))|in(esk445_2(X1,X2),X2)|in(esk442_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2392, plain, (esk378_2(X1,X2)=esk376_2(X1,X2)|in(esk381_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1666, plain, (empty(X1)|in(esk242_3(X1,X2,X3),X1)|in(esk236_2(X1,X2),X1)|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2987, lemma, (below(X1,meet_commut(X1,X2,X3),X2)|empty_carrier(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_1139, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk151_1(X1),esk151_1(X1)),unordered_pair(esk151_1(X1),esk152_1(X1))),X1)|~relation(X1))).
% 12.82/4.17  cnf(i_0_2826, lemma, (relation(esk447_2(X1,X2))|in(esk445_2(X1,X2),X2)|in(esk442_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_443, plain, (element(esk76_2(X1,X2),powerset(powerset(the_carrier(X1))))|~is_a_cover_of_carrier(X1,X2)|~compact_top_space(X1)|~open_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_155, 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)))).
% 12.82/4.17  cnf(i_0_157, 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)))).
% 12.82/4.17  cnf(i_0_1138, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk152_1(X1),esk152_1(X1)),unordered_pair(esk152_1(X1),esk153_1(X1))),X1)|~relation(X1))).
% 12.82/4.17  cnf(i_0_1501, lemma, (esk210_2(X1,X2)=esk207_2(X1,X2)|empty(X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1469, lemma, (esk211_2(X1,X2)=esk207_2(X1,X2)|empty(X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2474, lemma, (in(esk402_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk401_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1150, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk155_1(X1),esk155_1(X1)),unordered_pair(esk155_1(X1),esk156_1(X1))),X1)|~relation(X1))).
% 12.82/4.17  cnf(i_0_2843, lemma, (X1=esk452_2(X2,X3)|X3=empty_set|ordinal(esk448_0)|~subset(esk452_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_2828, lemma, (X1=empty_set|in(esk452_2(X2,X1),X1)|esk451_1(X3)!=X3|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk450_0)|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_627, plain, (X1=complements_of_subsets(X2,X3)|element(esk126_3(X2,X3,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 12.82/4.17  cnf(i_0_3054, lemma, (below_refl(X1,X2,X3)|empty_carrier(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_1149, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk155_1(X1),esk156_1(X1)),unordered_pair(esk156_1(X1),esk156_1(X1))),X1)|~relation(X1))).
% 12.82/4.17  cnf(i_0_3003, lemma, (related(X1,X2,X3)|~related(X1,X4,X3)|~related(X1,X2,X4)|~transitive_relstr(X1)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_3221, 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)))).
% 12.82/4.17  cnf(i_0_467, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk85_3(X2,X3,X1),X1)|~in(esk85_3(X2,X3,X1),X3)|~in(esk85_3(X2,X3,X1),X2))).
% 12.82/4.17  cnf(i_0_2664, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk427_2(X1,X2),X1)|in(esk422_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_3282, plain, (X1=empty_set|epred1_0|subset(X2,esk503_1(X2))|in(esk505_1(X1),X1)|~element(X1,powerset(powerset(esk504_0)))|~in(esk504_0,omega)|~in(X2,esk502_0))).
% 12.82/4.17  cnf(i_0_3272, plain, (X1=esk505_1(X2)|X2=empty_set|epred1_0|esk503_1(X3)!=X3|~subset(esk505_1(X2),X1)|~element(X2,powerset(powerset(esk504_0)))|~in(esk504_0,omega)|~in(X3,esk502_0)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_2410, plain, (in(esk381_3(X1,X2,X3),X1)|in(esk377_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2386, plain, (in(esk381_3(X1,X2,X3),X1)|in(esk378_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1683, plain, (esk242_3(X1,X2,X3)=esk243_3(X1,X2,X3)|esk239_2(X1,X2)=esk236_2(X1,X2)|empty(X1)|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_3167, lemma, (apply(function_inverse(X1),apply(X1,X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 12.82/4.17  cnf(i_0_1444, lemma, (esk213_4(X1,X2,X3,X4)=X3|empty(X1)|esk209_2(X1,X2)!=esk208_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1659, plain, (esk242_3(X1,X2,X3)=esk243_3(X1,X2,X3)|esk240_2(X1,X2)=esk236_2(X1,X2)|empty(X1)|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2856, 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,esk456_2(X1,X3)))).
% 12.82/4.17  cnf(i_0_2836, lemma, (X1=empty_set|element(esk450_0,powerset(powerset(esk448_0)))|in(esk452_2(X2,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_172, plain, (X1=meet_on_relstr(X2,X3)|element(esk3_3(X2,X3,X1),the_carrier(X2))|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_666, plain, (X1=join_on_relstr(X2,X3)|element(esk132_3(X2,X3,X1),the_carrier(X2))|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_2691, lemma, (apply(esk435_1(X1),X2)=unordered_pair(X2,X2)|in(esk431_1(X1),X1)|~in(X2,X1))).
% 12.82/4.17  cnf(i_0_182, plain, (is_eventually_in(X1,X2,X3)|empty_carrier(X1)|empty_carrier(X2)|~net_str(X2,X1)|~one_sorted_str(X1)|~element(X4,the_carrier(X2))|~in(apply_netmap(X1,X2,esk7_4(X1,X2,X3,X4)),X3))).
% 12.82/4.17  cnf(i_0_2056, plain, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|esk306_2(X1,X3)!=esk305_2(X1,X3)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))|~in(X2,esk307_2(X1,X3)))).
% 12.82/4.17  cnf(i_0_1696, plain, (empty(X1)|in(esk256_4(X1,X2,X3,X4),X1)|esk247_2(X1,X2)!=esk246_2(X1,X2)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2236, plain, (in(esk350_4(X1,X2,X3,X4),X2)|esk343_2(X1,X2)!=esk342_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_466, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk85_3(X2,X3,X1),X2)|in(esk85_3(X2,X3,X1),X1))).
% 12.82/4.17  cnf(i_0_592, plain, (X1=esk110_2(X2,X3)|element(esk111_3(X2,X3,X1),the_carrier(X2))|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_648, plain, (X1=esk127_2(X2,X3)|element(esk128_3(X2,X3,X1),the_carrier(X2))|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_3113, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|in(esk487_2(X1,X2),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_311, plain, (topological_space(X1)|element(esk39_1(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1)|~in(subset_intersection2(the_carrier(X1),esk40_1(X1),esk41_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1)))).
% 12.82/4.17  cnf(i_0_3288, plain, (epred1_0|element(esk506_0,powerset(powerset(set_union2(esk504_0,unordered_pair(esk504_0,esk504_0)))))|in(esk503_1(X1),esk502_0)|~in(X1,esk502_0))).
% 12.82/4.17  cnf(i_0_3170, lemma, (in(apply(function_inverse(X1),X2),relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 12.82/4.17  cnf(i_0_2452, lemma, (in(X1,esk393_1(X2))|esk397_4(X2,X1,X1,X3)!=X3|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk396_3(X2,X1,X1)))).
% 12.82/4.17  cnf(i_0_3208, lemma, (X1=empty_set|in(apply(X2,X3),relation_rng(X2))|~relation_of2_as_subset(X2,X4,X1)|~quasi_total(X2,X4,X1)|~function(X2)|~in(X3,X4))).
% 12.82/4.17  cnf(i_0_2629, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(esk423_2(X1,X2),esk425_2(X1,X2))|in(esk427_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_642, plain, (ex_inf_of_relstr_set(X1,X2)|element(esk129_3(X1,X2,X3),the_carrier(X1))|esk130_3(X1,X2,X3)!=X3|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_586, plain, (ex_sup_of_relstr_set(X1,X2)|element(esk112_3(X1,X2,X3),the_carrier(X1))|esk113_3(X1,X2,X3)!=X3|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_474, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,apply(X2,X1))),X2)|~relation(X2)|~function(X2)|~in(X1,relation_dom(X2)))).
% 12.82/4.17  cnf(i_0_2575, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(esk424_2(X1,X2),esk426_2(X1,X2))|in(esk427_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_581, plain, (ex_sup_of_relstr_set(X1,X2)|element(esk113_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~related(X1,X3,esk112_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_637, plain, (ex_inf_of_relstr_set(X1,X2)|element(esk130_3(X1,X2,X3),the_carrier(X1))|~related(X1,esk129_3(X1,X2,X3),X3)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_1957, plain, (in(X1,esk290_1(X2))|esk294_3(X2,X1,X1)!=empty_set|esk288_1(X2)!=esk289_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 12.82/4.17  cnf(i_0_2630, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(esk423_2(X1,X2),esk425_2(X1,X2))|in(esk427_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_3308, plain, (X1=esk505_1(X2)|X2=empty_set|epred1_0|element(esk502_0,powerset(powerset(empty_set)))|~subset(esk505_1(X2),X1)|~element(X2,powerset(powerset(esk504_0)))|~in(esk504_0,omega)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_2221, plain, (in(esk339_3(X1,X2,X3),X2)|in(esk335_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk338_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1630, lemma, (X1=esk234_2(X2,X3)|X3=empty_set|ordinal(esk230_0)|~epred1_0|~subset(esk234_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_2576, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(esk424_2(X1,X2),esk426_2(X1,X2))|in(esk427_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_2207, plain, (in(X1,esk338_2(X2,X3))|subset_complement(the_carrier(X2),esk340_4(X2,X3,X1,X4))!=X1|esk336_2(X2,X3)!=esk337_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X4,X3))).
% 12.82/4.17  cnf(i_0_626, plain, (X1=complements_of_subsets(X2,X3)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2)))|~in(subset_complement(X2,esk126_3(X2,X3,X1)),X3)|~in(esk126_3(X2,X3,X1),X1))).
% 12.82/4.17  cnf(i_0_2983, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(esk471_3(X2,X1,X3),X4),unordered_pair(esk471_3(X2,X1,X3),esk471_3(X2,X1,X3))),X3))).
% 12.82/4.17  cnf(i_0_678, plain, (empty(X1)|empty(X2)|element(ordered_pair_as_product_element(X1,X2,X3,X4),cartesian_product2(X1,X2))|~element(X4,X2)|~element(X3,X1))).
% 12.82/4.17  cnf(i_0_231, plain, (X1=relation_image(X2,X3)|in(esk23_3(X2,X3,X1),X3)|in(esk22_3(X2,X3,X1),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_1628, lemma, (X1=esk234_2(X2,X3)|X3=empty_set|being_limit_ordinal(esk230_0)|~epred1_0|~subset(esk234_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_1611, lemma, (X1=empty_set|in(esk234_2(X2,X1),X1)|esk233_1(X3)!=X3|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk232_0)|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_208, plain, (empty_carrier(X1)|empty_carrier(X2)|element(esk13_4(X1,X2,X3,X4),the_carrier(X2))|~is_often_in(X1,X2,X3)|~net_str(X2,X1)|~one_sorted_str(X1)|~element(X4,the_carrier(X2)))).
% 12.82/4.17  cnf(i_0_2042, plain, (subset(X1,X2)|element(esk299_2(X3,X1),powerset(the_carrier(X3)))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk301_2(X3,X1)))).
% 12.82/4.17  cnf(i_0_240, plain, (X1=relation_inverse_image(X2,X3)|in(esk26_3(X2,X3,X1),X3)|in(esk25_3(X2,X3,X1),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_359, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(X1,fiber(X3,X2)))).
% 12.82/4.17  cnf(i_0_2628, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk423_2(X1,X2),esk425_2(X1,X2))|in(esk427_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_2007, plain, (subset(X1,X2)|element(esk300_2(X3,X1),powerset(the_carrier(X3)))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))|~in(X2,esk301_2(X3,X1)))).
% 12.82/4.17  cnf(i_0_2480, lemma, (in(esk404_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,esk403_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2837, lemma, (X1=esk452_2(X2,X3)|X3=empty_set|in(esk448_0,omega)|~subset(esk452_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_628, plain, (in(X1,complements_of_subsets(X2,X3))|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2))|~in(subset_complement(X2,X1),X3))).
% 12.82/4.17  cnf(i_0_1512, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk218_1(X2))|esk217_1(X2)!=esk216_1(X2)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_638, plain, (relstr_element_smaller(X1,X2,esk129_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|esk130_3(X1,X2,X3)!=X3|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_582, plain, (relstr_set_smaller(X1,X2,esk112_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|esk113_3(X1,X2,X3)!=X3|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_211, plain, (X1=relation_inverse_image(X2,X3)|~relation(X2)|~function(X2)|~in(apply(X2,esk15_3(X2,X3,X1)),X3)|~in(esk15_3(X2,X3,X1),relation_dom(X2))|~in(esk15_3(X2,X3,X1),X1))).
% 12.82/4.17  cnf(i_0_233, plain, (X1=relation_image(X2,X3)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,esk22_3(X2,X3,X1)),unordered_pair(X4,X4)),X2)|~in(esk22_3(X2,X3,X1),X1)|~in(X4,X3))).
% 12.82/4.17  cnf(i_0_2574, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk424_2(X1,X2),esk426_2(X1,X2))|in(esk427_2(X1,X2),X1)|~relation(X2))).
% 12.82/4.17  cnf(i_0_3121, lemma, (element(esk488_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)))).
% 12.82/4.17  cnf(i_0_2776, lemma, (relation_dom(esk447_2(X1,X2))=X2|in(esk445_2(X1,X2),X2)|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2025, plain, (esk302_3(X1,X2,X3)=X3|subset(X2,esk297_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1990, plain, (esk302_3(X1,X2,X3)=X3|subset(X2,esk298_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_3291, plain, (X1=empty_set|epred1_0|in(esk503_1(X2),esk502_0)|in(esk505_1(X1),X1)|~element(X1,powerset(powerset(esk504_0)))|~in(esk504_0,omega)|~in(X2,esk502_0))).
% 12.82/4.17  cnf(i_0_1949, plain, (unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3))=esk286_3(X1,X2,X3)|esk276_1(X1)=esk277_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_3043, lemma, (X1=join_on_relstr(X2,X3)|relstr_set_smaller(X2,X3,esk479_3(X2,X1,X3))|~relstr_set_smaller(X2,X3,X1)|~antisymmetric_relstr(X2)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_204, plain, (is_often_in(X1,X2,X3)|empty_carrier(X2)|empty_carrier(X1)|~net_str(X2,X1)|~related(X2,esk14_3(X1,X2,X3),X4)|~one_sorted_str(X1)|~element(X4,the_carrier(X2))|~in(apply_netmap(X1,X2,X4),X3))).
% 12.82/4.17  cnf(i_0_2078, plain, (esk315_3(X1,X2,X3)=X3|esk311_2(X1,X2)!=esk310_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_3125, lemma, (X1=empty_set|in(X2,relation_inverse_image(X3,X4))|~relation_of2_as_subset(X3,X5,X1)|~quasi_total(X3,X5,X1)|~function(X3)|~in(apply(X3,X2),X4)|~in(X2,X5))).
% 12.82/4.17  cnf(i_0_1925, plain, (unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3))=esk286_3(X1,X2,X3)|esk276_1(X1)=esk278_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2023, plain, (esk303_3(X1,X2,X3)=X3|subset(X2,esk297_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1988, plain, (esk303_3(X1,X2,X3)=X3|subset(X2,esk298_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1619, lemma, (X1=empty_set|element(esk232_0,powerset(powerset(esk230_0)))|in(esk234_2(X2,X1),X1)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_1105, plain, (ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),esk146_2(X2,X1),esk147_2(X2,X1))=X2|empty_carrier(X1)|~lattice(X1)|~in(X2,a_1_0_filter_1(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2683, lemma, (unordered_pair(esk431_1(X1),esk431_1(X1))=esk432_1(X1)|apply(esk435_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 12.82/4.17  cnf(i_0_171, plain, (X1=meet_on_relstr(X2,X3)|relstr_element_smaller(X2,X3,esk3_3(X2,X3,X1))|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_665, plain, (X1=join_on_relstr(X2,X3)|relstr_set_smaller(X2,X3,esk132_3(X2,X3,X1))|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_1901, plain, (unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3))=esk286_3(X1,X2,X3)|esk278_1(X1)!=esk277_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_164, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),identity_relation(X2))|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_2713, lemma, (function(esk441_2(X1,X2))|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk437_2(X1,X2)!=esk438_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2714, lemma, (relation(esk441_2(X1,X2))|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk437_2(X1,X2)!=esk438_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2709, lemma, (function(esk441_2(X1,X2))|element(esk440_3(X1,X2,X3),powerset(the_carrier(X1)))|esk437_2(X1,X2)!=esk438_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2447, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk390_2(X2,X3))|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_2918, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk462_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 12.82/4.17  cnf(i_0_591, plain, (X1=esk110_2(X2,X3)|relstr_set_smaller(X2,X3,esk111_3(X2,X3,X1))|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_647, plain, (X1=esk127_2(X2,X3)|relstr_element_smaller(X2,X3,esk128_3(X2,X3,X1))|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~rel_str(X2))).
% 12.82/4.17  cnf(i_0_3122, 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)))).
% 12.82/4.17  cnf(i_0_2050, plain, (esk296_2(X1,X2)=esk297_2(X1,X2)|closed_subset(esk303_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1682, plain, (esk239_2(X1,X2)=esk236_2(X1,X2)|empty(X1)|in(X3,esk243_3(X1,X2,X3))|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2773, lemma, (function(esk447_2(X1,X2))|element(esk446_3(X1,X2,X3),powerset(the_carrier(X1)))|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2710, lemma, (relation(esk441_2(X1,X2))|element(esk440_3(X1,X2,X3),powerset(the_carrier(X1)))|esk437_2(X1,X2)!=esk438_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2774, lemma, (relation(esk447_2(X1,X2))|element(esk446_3(X1,X2,X3),powerset(the_carrier(X1)))|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2853, lemma, (element(esk455_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,esk454_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2675, lemma, (unordered_pair(esk431_1(X1),esk431_1(X1))=esk433_1(X1)|apply(esk435_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 12.82/4.17  cnf(i_0_2015, plain, (esk296_2(X1,X2)=esk298_2(X1,X2)|closed_subset(esk303_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2036, plain, (esk299_2(X1,X2)=esk297_2(X1,X2)|closed_subset(esk303_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2001, plain, (esk300_2(X1,X2)=esk298_2(X1,X2)|closed_subset(esk303_3(X1,X2,X3),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2384, plain, (in(esk380_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|esk376_2(X1,X2)!=esk375_2(X1,X2)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1658, plain, (esk240_2(X1,X2)=esk236_2(X1,X2)|empty(X1)|in(X3,esk243_3(X1,X2,X3))|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1529, lemma, (unordered_pair(esk215_1(X1),esk215_1(X1))=esk216_1(X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk218_1(X1)))).
% 12.82/4.17  cnf(i_0_1519, lemma, (unordered_pair(esk215_1(X1),esk215_1(X1))=esk217_1(X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk218_1(X1)))).
% 12.82/4.17  cnf(i_0_2813, lemma, (function(esk447_2(X1,X2))|in(esk442_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk446_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2814, lemma, (relation(esk447_2(X1,X2))|in(esk442_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk446_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_3166, lemma, (X1=function_inverse(X2)|in(esk494_2(X2,X1),relation_dom(X2))|in(esk491_2(X2,X1),relation_rng(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 12.82/4.17  cnf(i_0_1806, plain, (esk245_2(X1,X2)=esk246_2(X1,X2)|esk255_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1695, plain, (esk258_4(X1,X2,X3,X4)=esk256_4(X1,X2,X3,X4)|empty(X1)|esk247_2(X1,X2)!=esk246_2(X1,X2)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_378, plain, (below(X1,join_of_latt_set(X1,X2),X3)|empty_carrier(X1)|~latt_element_smaller(X1,X3,X2)|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_1752, plain, (esk245_2(X1,X2)=esk247_2(X1,X2)|esk255_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1620, lemma, (X1=esk234_2(X2,X3)|X3=empty_set|in(esk230_0,omega)|~epred1_0|~subset(esk234_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_630, plain, (apply_on_structs(X1,X2,the_mapping(X2,X1),X3)=apply_netmap(X2,X1,X3)|empty_carrier(X2)|empty_carrier(X1)|~net_str(X1,X2)|~one_sorted_str(X2)|~element(X3,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_1984, plain, (in(esk302_3(X1,X2,X3),powerset(the_carrier(X1)))|esk298_2(X1,X2)!=esk297_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1982, plain, (element(esk303_3(X1,X2,X3),powerset(the_carrier(X1)))|esk298_2(X1,X2)!=esk297_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_3071, lemma, (below_refl(X1,X2,meet_of_latt_set(X1,X3))|empty_carrier(X1)|~latt_set_smaller(X1,X2,X3)|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_1937, plain, (unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3))=esk286_3(X1,X2,X3)|in(esk279_1(X1),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2445, lemma, (esk388_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk387_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_185, plain, (empty_carrier(X1)|empty_carrier(X2)|in(apply_netmap(X2,X1,X3),X4)|~is_eventually_in(X2,X1,X4)|~net_str(X1,X2)|~related(X1,esk6_3(X2,X1,X4),X3)|~one_sorted_str(X2)|~element(X3,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_1541, lemma, (in(X1,complements_of_subsets(the_carrier(X2),X3))|esk220_2(X2,X3)!=esk221_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)),esk222_2(X2,X3)))).
% 12.82/4.17  cnf(i_0_191, plain, (X1=relation_image(X2,X3)|esk9_3(X2,X3,X1)!=apply(X2,X4)|~relation(X2)|~function(X2)|~in(esk9_3(X2,X3,X1),X1)|~in(X4,relation_dom(X2))|~in(X4,X3))).
% 12.82/4.17  cnf(i_0_1913, plain, (unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3))=esk286_3(X1,X2,X3)|in(esk281_1(X1),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2114, plain, (in(esk321_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|esk318_2(X1,X2)!=esk319_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk320_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2830, lemma, (X1=empty_set|subset(X2,esk451_1(X2))|in(esk452_2(X3,X1),X1)|~ordinal(X3)|~element(X1,powerset(powerset(X3)))|~in(X2,esk450_0)|~in(X3,omega))).
% 12.82/4.17  cnf(i_0_2812, lemma, (relation_dom(esk447_2(X1,X2))=X2|in(esk442_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk446_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_207, plain, (related(X1,X2,esk13_4(X3,X1,X4,X2))|empty_carrier(X1)|empty_carrier(X3)|~is_often_in(X3,X1,X4)|~net_str(X1,X3)|~one_sorted_str(X3)|~element(X2,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_3163, lemma, (apply(X1,esk491_2(X2,X1))=esk492_2(X2,X1)|X1=function_inverse(X2)|in(esk494_2(X2,X1),relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 12.82/4.17  cnf(i_0_1699, plain, (empty(X1)|in(esk255_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|esk247_2(X1,X2)!=esk246_2(X1,X2)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2436, lemma, (empty(X1)|in(esk384_4(X1,X2,X3,X4),esk385_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk382_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2827, lemma, (X1=esk452_2(X2,X3)|X3=empty_set|esk451_1(X4)!=X4|~subset(esk452_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk450_0)|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_431, plain, (X1=cartesian_product2(X2,X3)|esk73_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk73_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))).
% 12.82/4.17  cnf(i_0_1935, plain, (unordered_pair(esk279_1(X1),esk279_1(X1))=esk280_1(X1)|in(esk284_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_184, plain, (is_eventually_in(X1,X2,X3)|empty_carrier(X1)|empty_carrier(X2)|element(esk7_4(X1,X2,X3,X4),the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1)|~element(X4,the_carrier(X2)))).
% 12.82/4.17  cnf(i_0_2053, plain, (esk296_2(X1,X2)=esk297_2(X1,X2)|esk302_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2018, plain, (esk296_2(X1,X2)=esk298_2(X1,X2)|esk302_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2039, plain, (esk299_2(X1,X2)=esk297_2(X1,X2)|esk302_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_482, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk86_3(X2,relation_dom(X2),X1))),X2)|~relation(X2)|~in(X1,relation_dom(X2)))).
% 12.82/4.17  cnf(i_0_1911, plain, (unordered_pair(esk281_1(X1),esk281_1(X1))=esk282_1(X1)|in(esk284_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2110, plain, (in(X1,esk320_2(X2,X3))|subset_complement(the_carrier(X2),esk322_4(X2,X3,X1,X4))!=X1|esk318_2(X2,X3)!=esk319_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X4,complements_of_subsets(the_carrier(X2),X3)))).
% 12.82/4.17  cnf(i_0_2473, lemma, (set_difference(esk402_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk401_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1664, plain, (empty(X1)|in(X2,esk243_3(X1,X3,X2))|in(esk236_2(X1,X3),X1)|~relation(X3)|~in(X2,esk241_2(X1,X3)))).
% 12.82/4.17  cnf(i_0_629, plain, (in(subset_complement(X1,X2),X3)|~element(X3,powerset(powerset(X1)))|~in(X2,complements_of_subsets(X1,X3)))).
% 12.82/4.17  cnf(i_0_2004, plain, (esk300_2(X1,X2)=esk298_2(X1,X2)|esk302_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2051, plain, (esk296_2(X1,X2)=esk297_2(X1,X2)|esk303_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2016, plain, (esk296_2(X1,X2)=esk298_2(X1,X2)|esk303_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_3165, lemma, (apply(X1,esk494_2(X1,X2))=esk493_2(X1,X2)|X2=function_inverse(X1)|in(esk491_2(X1,X2),relation_rng(X1))|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 12.82/4.17  cnf(i_0_2426, plain, (ordinal(esk377_2(X1,X2))|in(esk380_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_510, plain, (X1=set_difference(X2,X3)|in(esk95_3(X2,X3,X1),X3)|~in(esk95_3(X2,X3,X1),X1)|~in(esk95_3(X2,X3,X1),X2))).
% 12.82/4.17  cnf(i_0_2037, plain, (esk299_2(X1,X2)=esk297_2(X1,X2)|esk303_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2002, plain, (esk300_2(X1,X2)=esk298_2(X1,X2)|esk303_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2032, plain, (esk302_3(X1,X2,X3)=X3|closed_subset(esk299_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2402, plain, (ordinal(esk378_2(X1,X2))|in(esk380_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_661, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),the_InternalRel(X3))|~related(X3,X1,X2)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3))|~rel_str(X3))).
% 12.82/4.17  cnf(i_0_3281, plain, (X1=esk505_1(X2)|X2=empty_set|epred1_0|subset(X3,esk503_1(X3))|~subset(esk505_1(X2),X1)|~element(X2,powerset(powerset(esk504_0)))|~in(esk504_0,omega)|~in(X3,esk502_0)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_1997, plain, (esk302_3(X1,X2,X3)=X3|closed_subset(esk300_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2030, plain, (esk303_3(X1,X2,X3)=X3|closed_subset(esk299_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2645, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|esk430_3(X1,X2,X3)=X3|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 12.82/4.17  cnf(i_0_1788, plain, (esk255_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk248_2(X1,X2),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1995, plain, (esk303_3(X1,X2,X3)=X3|closed_subset(esk300_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1477, lemma, (empty(X1)|in(esk207_2(X1,X2),X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1734, plain, (esk255_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk251_2(X1,X2),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_189, plain, (X1=relation_image(X2,X3)|in(esk10_3(X2,X3,X1),X3)|in(esk9_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 12.82/4.17  cnf(i_0_1528, lemma, (unordered_pair(esk215_1(X1),esk215_1(X1))=esk216_1(X1)|X2=unordered_pair(X3,X3)|~in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),esk218_1(X1)))).
% 12.82/4.17  cnf(i_0_1518, lemma, (unordered_pair(esk215_1(X1),esk215_1(X1))=esk217_1(X1)|X2=unordered_pair(X3,X3)|~in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),esk218_1(X1)))).
% 12.82/4.17  cnf(i_0_2058, plain, (in(esk308_3(X1,X2,X3),powerset(the_carrier(X1)))|esk306_2(X1,X2)!=esk305_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2072, plain, (esk304_2(X1,X2)=esk305_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,esk307_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2591, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|esk430_3(X1,X2,X3)=X3|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 12.82/4.17  cnf(i_0_2824, lemma, (relation_dom(esk447_2(X1,X2))=X2|in(esk445_2(X1,X2),X2)|in(esk442_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2077, plain, (in(esk316_3(X1,X2,X3),X2)|esk311_2(X1,X2)!=esk310_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1500, lemma, (esk210_2(X1,X2)=esk207_2(X1,X2)|esk213_4(X1,X2,X3,X4)=X3|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1468, lemma, (esk211_2(X1,X2)=esk207_2(X1,X2)|esk213_4(X1,X2,X3,X4)=X3|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2064, plain, (esk304_2(X1,X2)=esk306_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,esk307_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1665, plain, (esk242_3(X1,X2,X3)=esk243_3(X1,X2,X3)|empty(X1)|in(esk236_2(X1,X2),X1)|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2705, lemma, (esk440_3(X1,X2,X3)=esk439_2(X1,X2)|function(esk441_2(X1,X2))|esk437_2(X1,X2)!=esk438_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2706, lemma, (esk440_3(X1,X2,X3)=esk439_2(X1,X2)|relation(esk441_2(X1,X2))|esk437_2(X1,X2)!=esk438_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2769, lemma, (esk446_3(X1,X2,X3)=esk445_2(X1,X2)|function(esk447_2(X1,X2))|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2770, lemma, (esk446_3(X1,X2,X3)=esk445_2(X1,X2)|relation(esk447_2(X1,X2))|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2832, lemma, (X1=empty_set|in(esk452_2(X2,X1),X1)|in(esk451_1(X3),esk450_0)|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk450_0)|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_2963, lemma, (empty_carrier(X1)|empty(X2)|in(esk469_3(X1,X2,X3),X2)|~directed_subset(X2,X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_353, plain, (in(esk51_4(X1,X2,X3,X4),X2)|~directed_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~in(X4,X2)|~in(X3,X2)|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2308, plain, (in(esk361_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|esk355_3(X1,X2,X3)!=esk354_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1610, lemma, (X1=esk234_2(X2,X3)|X3=empty_set|esk233_1(X4)!=X4|~epred1_0|~subset(esk234_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk232_0)|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_465, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk85_3(X2,X3,X1),X3)|in(esk85_3(X2,X3,X1),X1))).
% 12.82/4.17  cnf(i_0_3212, lemma, (disjoint(esk498_3(X1,X2,X3),X2)|empty_carrier(X1)|in(X3,topstr_closure(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~element(X3,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_1613, lemma, (X1=empty_set|subset(X2,esk233_1(X2))|in(esk234_2(X3,X1),X1)|~epred1_0|~ordinal(X3)|~element(X1,powerset(powerset(X3)))|~in(X2,esk232_0)|~in(X3,omega))).
% 12.82/4.17  cnf(i_0_2835, lemma, (X1=esk452_2(X2,X3)|X3=empty_set|element(esk450_0,powerset(powerset(esk448_0)))|~subset(esk452_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_1103, plain, (empty_carrier(X1)|in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),a_1_0_filter_1(X1))|~below_refl(X1,X2,X3)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2432, plain, (esk374_2(X1,X2)=esk375_2(X1,X2)|in(esk380_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_994, plain, (empty(X1)|~empty_carrier(latt_str_of(X1,X2,X3))|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~quasi_total(X2,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~function(X3)|~function(X2))).
% 12.82/4.17  cnf(i_0_2073, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|esk308_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2065, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|esk308_3(X1,X2,X3)=X3|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_163, 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))).
% 12.82/4.17  cnf(i_0_2408, plain, (esk374_2(X1,X2)=esk376_2(X1,X2)|in(esk380_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_388, 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)))).
% 12.82/4.17  cnf(i_0_296, 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)))).
% 12.82/4.17  cnf(i_0_3053, lemma, (empty_carrier(X1)|in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))|~below_refl(X1,X2,X3)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_2043, plain, (closed_subset(esk303_3(X1,X2,X3),X1)|element(esk299_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1615, lemma, (X1=empty_set|in(esk234_2(X2,X1),X1)|in(esk233_1(X3),esk232_0)|~epred1_0|~ordinal(X2)|~element(X1,powerset(powerset(X2)))|~in(X3,esk232_0)|~in(X2,omega))).
% 12.82/4.17  cnf(i_0_2420, plain, (esk377_2(X1,X2)=esk375_2(X1,X2)|in(esk380_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1959, plain, (in(X1,esk290_1(X2))|in(X1,omega)|esk288_1(X2)!=esk289_1(X2)|~ordinal(X2)|~ordinal(X1)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 12.82/4.17  cnf(i_0_2459, lemma, (X1=empty_set|in(esk395_3(X2,X3,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(esk394_2(X2,X3))))|~in(esk394_2(X2,X3),omega)|~in(X3,esk393_1(X2)))).
% 12.82/4.17  cnf(i_0_580, plain, (relstr_set_smaller(X1,X2,esk113_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~related(X1,X3,esk112_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2396, plain, (esk378_2(X1,X2)=esk376_2(X1,X2)|in(esk380_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2008, plain, (closed_subset(esk303_3(X1,X2,X3),X1)|element(esk300_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1563, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk220_2(X1,X2)|function(esk222_2(X1,X2))|~one_sorted_str(X1)|~element(esk219_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_1564, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk220_2(X1,X2)|relation(esk222_2(X1,X2))|~one_sorted_str(X1)|~element(esk219_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2663, lemma, (esk430_3(X1,X2,X3)=X3|in(esk427_2(X1,X2),X1)|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 12.82/4.17  cnf(i_0_636, plain, (relstr_element_smaller(X1,X2,esk130_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|~related(X1,esk129_3(X1,X2,X3),X3)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2108, plain, (esk309_2(X1,X2)=esk310_2(X1,X2)|esk315_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2093, plain, (esk309_2(X1,X2)=esk311_2(X1,X2)|esk315_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2443, lemma, (empty_carrier(X1)|in(esk389_4(X1,X2,X3,X4),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk387_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_190, plain, (X1=relation_image(X2,X3)|in(esk10_3(X2,X3,X1),relation_dom(X2))|in(esk9_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 12.82/4.17  cnf(i_0_1549, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk221_2(X1,X2)|function(esk222_2(X1,X2))|~one_sorted_str(X1)|~element(esk219_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_1550, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk221_2(X1,X2)|relation(esk222_2(X1,X2))|~one_sorted_str(X1)|~element(esk219_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_3290, plain, (X1=esk505_1(X2)|X2=empty_set|epred1_0|in(esk503_1(X3),esk502_0)|~subset(esk505_1(X2),X1)|~element(X2,powerset(powerset(esk504_0)))|~in(esk504_0,omega)|~in(X3,esk502_0)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_210, plain, (X1=relation_inverse_image(X2,X3)|in(esk15_3(X2,X3,X1),relation_dom(X2))|in(esk15_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 12.82/4.17  cnf(i_0_2239, plain, (in(esk349_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|esk343_2(X1,X2)!=esk342_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2537, lemma, (esk430_3(X1,X2,X3)=X3|in(esk427_2(X1,X2),X1)|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(X3,X1))).
% 12.82/4.17  cnf(i_0_321, plain, (unordered_pair(unordered_pair(esk42_2(X1,X2),esk42_2(X1,X2)),unordered_pair(esk42_2(X1,X2),esk43_2(X1,X2)))=X2|~relation(X1)|~in(X2,X1))).
% 12.82/4.17  cnf(i_0_294, plain, (apply_binary(the_L_join(boole_lattice(X1)),X2,X3)=subset_union2(X1,X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.17  cnf(i_0_293, plain, (apply_binary(the_L_meet(boole_lattice(X1)),X2,X3)=subset_intersection2(X1,X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 12.82/4.17  cnf(i_0_1598, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk225_2(X1,X2)|function(esk227_2(X1,X2))|~one_sorted_str(X1)|~element(esk224_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_3162, lemma, (apply(X1,esk494_2(X1,X2))=esk493_2(X1,X2)|apply(X2,esk491_2(X1,X2))=esk492_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))).
% 12.82/4.17  cnf(i_0_2208, plain, (esk340_4(X1,X2,X3,X4)=X4|in(X3,esk338_2(X1,X2))|esk336_2(X1,X2)!=esk337_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 12.82/4.17  cnf(i_0_2849, lemma, (in(X1,esk454_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))))).
% 12.82/4.17  cnf(i_0_2463, lemma, (in(X1,esk398_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))))).
% 12.82/4.17  cnf(i_0_1599, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk225_2(X1,X2)|relation(esk227_2(X1,X2))|~one_sorted_str(X1)|~element(esk224_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_1522, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk218_1(X2))|in(esk215_1(X2),X2)|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_1590, lemma, (in(esk224_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)),esk227_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1405, plain, (ordered_pair_as_product_element(X1,X2,X3,X4)=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))|empty(X1)|empty(X2)|~element(X4,X2)|~element(X3,X1))).
% 12.82/4.17  cnf(i_0_1584, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk226_2(X1,X2)|function(esk227_2(X1,X2))|~one_sorted_str(X1)|~element(esk224_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_1585, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk226_2(X1,X2)|relation(esk227_2(X1,X2))|~one_sorted_str(X1)|~element(esk224_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2022, plain, (closed_subset(esk303_3(X1,X2,X3),X1)|subset(X2,esk297_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2527, lemma, (function(esk429_2(X1,X2))|empty(X1)|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1804, plain, (esk245_2(X1,X2)=esk246_2(X1,X2)|empty(X1)|in(esk256_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2205, plain, (esk323_2(X1,X2)=esk324_2(X1,X2)|esk331_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2173, plain, (esk323_2(X1,X2)=esk325_2(X1,X2)|esk331_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2302, plain, (esk341_2(X1,X2)=esk342_2(X1,X2)|esk349_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2270, plain, (esk341_2(X1,X2)=esk343_2(X1,X2)|esk349_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1750, plain, (esk245_2(X1,X2)=esk247_2(X1,X2)|empty(X1)|in(esk256_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1987, plain, (closed_subset(esk303_3(X1,X2,X3),X1)|subset(X2,esk298_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_377, plain, (X1=join_of_latt_set(X2,X3)|empty_carrier(X2)|element(esk59_3(X2,X3,X1),the_carrier(X2))|~latt_element_smaller(X2,X1,X3)|~complete_latt_str(X2)|~lattice(X2)|~element(X1,the_carrier(X2))|~latt_str(X2))).
% 12.82/4.17  cnf(i_0_3070, lemma, (X1=meet_of_latt_set(X2,X3)|empty_carrier(X2)|element(esk483_3(X2,X1,X3),the_carrier(X2))|~latt_set_smaller(X2,X1,X3)|~complete_latt_str(X2)|~lattice(X2)|~element(X1,the_carrier(X2))|~latt_str(X2))).
% 12.82/4.17  cnf(i_0_2286, plain, (esk349_4(X1,X2,X3,X4)=X4|in(esk344_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2528, lemma, (relation(esk429_2(X1,X2))|empty(X1)|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1777, plain, (esk248_2(X1,X2)=esk250_2(X1,X2)|empty(X1)|in(esk256_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2254, plain, (esk349_4(X1,X2,X3,X4)=X4|in(esk346_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_242, plain, (X1=relation_inverse_image(X2,X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk25_3(X2,X3,X1),X4),unordered_pair(esk25_3(X2,X3,X1),esk25_3(X2,X3,X1))),X2)|~in(esk25_3(X2,X3,X1),X1)|~in(X4,X3))).
% 12.82/4.17  cnf(i_0_2458, lemma, (X1=esk395_3(X2,X3,X4)|X4=empty_set|~subset(esk395_3(X2,X3,X4),X1)|~ordinal(X2)|~element(X4,powerset(powerset(esk394_2(X2,X3))))|~in(esk394_2(X2,X3),omega)|~in(X3,esk393_1(X2))|~in(X1,X4))).
% 12.82/4.17  cnf(i_0_1723, plain, (esk251_2(X1,X2)=esk253_2(X1,X2)|empty(X1)|in(esk256_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2055, plain, (in(X1,esk307_2(X2,X3))|esk306_2(X2,X3)!=esk305_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))))).
% 12.82/4.17  cnf(i_0_2712, lemma, (relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk437_2(X1,X2)!=esk438_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_316, 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)))).
% 12.82/4.17  cnf(i_0_183, plain, (is_eventually_in(X1,X2,X3)|related(X2,X4,esk7_4(X1,X2,X3,X4))|empty_carrier(X2)|empty_carrier(X1)|~net_str(X2,X1)|~one_sorted_str(X1)|~element(X4,the_carrier(X2)))).
% 12.82/4.17  cnf(i_0_2627, lemma, (esk430_3(X1,X2,X3)=X3|in(esk423_2(X1,X2),esk425_2(X1,X2))|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 12.82/4.17  cnf(i_0_3192, lemma, (related(X1,X2,X3)|~subrelstr(X4,X1)|~related(X4,X2,X3)|~element(X3,the_carrier(X4))|~element(X2,the_carrier(X4))|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_1954, plain, (in(X1,esk290_1(X2))|esk295_4(X2,X1,X1,X3)!=X3|esk288_1(X2)!=esk289_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk294_3(X2,X1,X1)))).
% 12.82/4.17  cnf(i_0_1786, plain, (empty(X1)|in(esk256_4(X1,X2,X3,X4),X1)|in(esk248_2(X1,X2),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2040, plain, (esk299_2(X1,X2)=esk297_2(X1,X2)|in(esk302_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2005, plain, (esk300_2(X1,X2)=esk298_2(X1,X2)|in(esk302_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_645, plain, (ex_inf_of_relstr_set(X1,X2)|element(esk130_3(X1,X2,X3),the_carrier(X1))|element(esk129_3(X1,X2,X3),the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_589, plain, (ex_sup_of_relstr_set(X1,X2)|element(esk113_3(X1,X2,X3),the_carrier(X1))|element(esk112_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_245, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk24_4(X2,X3,relation_inverse_image(X2,X3),X1))),X2)|~relation(X2)|~in(X1,relation_inverse_image(X2,X3)))).
% 12.82/4.17  cnf(i_0_1732, plain, (empty(X1)|in(esk256_4(X1,X2,X3,X4),X1)|in(esk251_2(X1,X2),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2029, plain, (closed_subset(esk303_3(X1,X2,X3),X1)|closed_subset(esk299_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1994, plain, (closed_subset(esk303_3(X1,X2,X3),X1)|closed_subset(esk300_2(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2962, lemma, (relstr_set_smaller(X1,X2,esk469_3(X1,X3,X2))|empty_carrier(X1)|empty(X3)|~directed_subset(X3,X1)|~transitive_relstr(X1)|~finite(X2)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(X3))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_376, plain, (X1=join_of_latt_set(X2,X3)|latt_element_smaller(X2,esk59_3(X2,X3,X1),X3)|empty_carrier(X2)|~latt_element_smaller(X2,X1,X3)|~complete_latt_str(X2)|~lattice(X2)|~element(X1,the_carrier(X2))|~latt_str(X2))).
% 12.82/4.17  cnf(i_0_1807, plain, (esk245_2(X1,X2)=esk246_2(X1,X2)|empty(X1)|in(esk255_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1618, lemma, (X1=esk234_2(X2,X3)|X3=empty_set|element(esk232_0,powerset(powerset(esk230_0)))|~epred1_0|~subset(esk234_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_2964, lemma, (empty_carrier(X1)|empty(X2)|element(esk469_3(X1,X2,X3),the_carrier(X1))|~directed_subset(X2,X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2113, plain, (subset_complement(the_carrier(X1),esk321_3(X1,X2,X3))=X3|esk318_2(X1,X2)!=esk319_2(X1,X2)|~one_sorted_str(X1)|~element(esk321_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk320_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1753, plain, (esk245_2(X1,X2)=esk247_2(X1,X2)|empty(X1)|in(esk255_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_3069, lemma, (X1=meet_of_latt_set(X2,X3)|latt_set_smaller(X2,esk483_3(X2,X1,X3),X3)|empty_carrier(X2)|~latt_set_smaller(X2,X1,X3)|~complete_latt_str(X2)|~lattice(X2)|~element(X1,the_carrier(X2))|~latt_str(X2))).
% 12.82/4.17  cnf(i_0_2376, plain, (esk369_3(X1,X2,X3)=esk370_3(X1,X2,X3)|in(relation_image(X3,X4),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk372_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2368, plain, (esk369_3(X1,X2,X3)=esk371_3(X1,X2,X3)|in(relation_image(X3,X4),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk372_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_351, plain, (related(X1,X2,esk51_4(X1,X3,X4,X2))|~directed_subset(X3,X1)|~element(X3,powerset(the_carrier(X1)))|~in(X4,X3)|~in(X2,X3)|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_1780, plain, (esk248_2(X1,X2)=esk250_2(X1,X2)|empty(X1)|in(esk255_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2768, lemma, (esk446_3(X1,X2,X3)=esk445_2(X1,X2)|relation_dom(esk447_2(X1,X2))=X2|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2046, plain, (esk302_3(X1,X2,X3)=X3|element(esk299_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2011, plain, (esk302_3(X1,X2,X3)=X3|element(esk300_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2044, plain, (esk303_3(X1,X2,X3)=X3|element(esk299_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2210, plain, (subset_complement(the_carrier(X1),esk339_3(X1,X2,X3))=X3|esk336_2(X1,X2)!=esk337_2(X1,X2)|~one_sorted_str(X1)|~element(esk339_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk338_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1726, plain, (esk251_2(X1,X2)=esk253_2(X1,X2)|empty(X1)|in(esk255_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_352, plain, (related(X1,X2,esk51_4(X1,X3,X2,X4))|~directed_subset(X3,X1)|~element(X3,powerset(the_carrier(X1)))|~in(X4,X3)|~in(X2,X3)|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_488, plain, (X1=X2|~is_antisymmetric_in(X3,X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~in(X2,X4)|~in(X1,X4))).
% 12.82/4.17  cnf(i_0_1789, plain, (empty(X1)|in(esk255_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk248_2(X1,X2),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2009, plain, (esk303_3(X1,X2,X3)=X3|element(esk300_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_354, plain, (element(esk51_4(X1,X2,X3,X4),the_carrier(X1))|~directed_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~in(X4,X2)|~in(X3,X2)|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2772, lemma, (relation_dom(esk447_2(X1,X2))=X2|element(esk446_3(X1,X2,X3),powerset(the_carrier(X1)))|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2074, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|in(esk308_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_226, plain, (disjoint(X1,esk18_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)))).
% 12.82/4.17  cnf(i_0_1735, plain, (empty(X1)|in(esk255_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk251_2(X1,X2),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2337, plain, (esk353_3(X1,X2,X3)=esk354_3(X1,X2,X3)|esk361_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2322, plain, (esk353_3(X1,X2,X3)=esk355_3(X1,X2,X3)|esk361_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2079, plain, (in(esk315_3(X1,X2,X3),powerset(X1))|esk311_2(X1,X2)!=esk310_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2817, lemma, (esk446_3(X1,X2,X3)=esk445_2(X1,X2)|function(esk447_2(X1,X2))|in(esk442_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2066, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|in(esk308_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2139, plain, (in(esk332_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|esk325_2(X1,X2)!=esk324_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_3225, lemma, (related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))|empty_carrier(X1)|~below_refl(X1,X2,X3)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_1408, plain, (apply_on_structs(X1,X2,X3,X4)=apply(X3,X4)|empty_carrier(X1)|empty_carrier(X2)|~one_sorted_str(X2)|~one_sorted_str(X1)|~quasi_total(X3,the_carrier(X1),the_carrier(X2))|~relation_of2(X3,the_carrier(X1),the_carrier(X2))|~function(X3)|~element(X4,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_227, plain, (in(X1,esk18_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)))).
% 12.82/4.17  cnf(i_0_2818, lemma, (esk446_3(X1,X2,X3)=esk445_2(X1,X2)|relation(esk447_2(X1,X2))|in(esk442_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_3213, lemma, (point_neighbourhood(esk498_3(X1,X2,X3),X1,X3)|empty_carrier(X1)|in(X3,topstr_closure(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~element(X3,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_221, plain, (X1=topstr_closure(X2,X3)|disjoint(X3,esk20_3(X2,X3,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk19_3(X2,X3,X1),X1))).
% 12.82/4.17  cnf(i_0_223, plain, (X1=topstr_closure(X2,X3)|open_subset(esk20_3(X2,X3,X1),X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk19_3(X2,X3,X1),X1))).
% 12.82/4.17  cnf(i_0_3326, plain, (X1=empty_set|in(esk509_4(X2,X3,X4,X1),X1)|~epred2_3(X4,X3,X2)|~element(X1,powerset(powerset(esk508_3(X2,X3,X4))))|~in(esk508_3(X2,X3,X4),omega))).
% 12.82/4.17  cnf(i_0_1676, plain, (empty(X1)|in(esk237_2(X1,X2),esk239_2(X1,X2))|in(X3,esk243_3(X1,X2,X3))|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_693, plain, (empty_carrier(X1)|empty_carrier(X2)|element(apply_on_structs(X1,X2,X3,X4),the_carrier(X2))|~one_sorted_str(X2)|~one_sorted_str(X1)|~quasi_total(X3,the_carrier(X1),the_carrier(X2))|~relation_of2(X3,the_carrier(X1),the_carrier(X2))|~function(X3)|~element(X4,the_carrier(X1)))).
% 12.82/4.17  cnf(i_0_2829, lemma, (X1=esk452_2(X2,X3)|X3=empty_set|subset(X4,esk451_1(X4))|~subset(esk452_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk450_0)|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_2749, lemma, (function(esk441_2(X1,X2))|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk440_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2750, lemma, (relation(esk441_2(X1,X2))|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk440_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_228, plain, (open_subset(esk18_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)))).
% 12.82/4.17  cnf(i_0_1652, plain, (empty(X1)|in(esk238_2(X1,X2),esk240_2(X1,X2))|in(X3,esk243_3(X1,X2,X3))|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_3321, plain, (X1=empty_set|in(esk511_4(X2,X3,X4,X1),X1)|~epred2_3(X4,X3,X2)|~element(X1,powerset(powerset(esk510_3(X2,X3,X4))))|~in(esk510_3(X2,X3,X4),omega))).
% 12.82/4.17  cnf(i_0_1443, lemma, (empty(X1)|in(X2,esk213_4(X1,X3,X4,X2))|esk209_2(X1,X3)!=esk208_2(X1,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),esk212_2(X1,X3)))).
% 12.82/4.17  cnf(i_0_671, plain, (latt_str(latt_str_of(X1,X2,X3))|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~quasi_total(X2,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~function(X3)|~function(X2))).
% 12.82/4.17  cnf(i_0_672, plain, (strict_latt_str(latt_str_of(X1,X2,X3))|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~quasi_total(X2,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~function(X3)|~function(X2))).
% 12.82/4.17  cnf(i_0_1678, plain, (empty(X1)|in(esk237_2(X1,X2),esk239_2(X1,X2))|in(esk242_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2026, plain, (subset(X1,esk297_2(X2,X1))|in(esk302_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk301_2(X2,X1)))).
% 12.82/4.17  cnf(i_0_2024, plain, (subset(X1,esk297_2(X2,X1))|element(esk303_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk301_2(X2,X1)))).
% 12.82/4.17  cnf(i_0_1991, plain, (subset(X1,esk298_2(X2,X1))|in(esk302_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk301_2(X2,X1)))).
% 12.82/4.17  cnf(i_0_1989, plain, (subset(X1,esk298_2(X2,X1))|element(esk303_3(X2,X1,X3),powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X3,esk301_2(X2,X1)))).
% 12.82/4.17  cnf(i_0_2573, lemma, (esk430_3(X1,X2,X3)=X3|in(esk424_2(X1,X2),esk426_2(X1,X2))|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 12.82/4.17  cnf(i_0_1654, plain, (empty(X1)|in(esk238_2(X1,X2),esk240_2(X1,X2))|in(esk242_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1694, plain, (empty(X1)|in(esk257_4(X1,X2,X3,X4),esk258_4(X1,X2,X3,X4))|esk247_2(X1,X2)!=esk246_2(X1,X2)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2076, plain, (set_difference(esk316_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk311_2(X1,X2)!=esk310_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1770, plain, (esk255_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk249_2(X1,X2),esk250_2(X1,X2))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_365, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),the_InternalRel(incl_POSet(X3)))|~subset(X1,X2)|~in(X2,X3)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_641, plain, (relstr_element_smaller(X1,X2,esk129_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|element(esk130_3(X1,X2,X3),the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_644, plain, (relstr_element_smaller(X1,X2,esk130_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|element(esk129_3(X1,X2,X3),the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_585, plain, (relstr_set_smaller(X1,X2,esk112_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|element(esk113_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2526, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1716, plain, (esk255_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk252_2(X1,X2),esk253_2(X1,X2))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_3325, plain, (X1=esk509_4(X2,X3,X4,X5)|X5=empty_set|~epred2_3(X4,X3,X2)|~subset(esk509_4(X2,X3,X4,X5),X1)|~element(X5,powerset(powerset(esk508_3(X2,X3,X4))))|~in(esk508_3(X2,X3,X4),omega)|~in(X1,X5))).
% 12.82/4.17  cnf(i_0_3320, plain, (X1=esk511_4(X2,X3,X4,X5)|X5=empty_set|~epred2_3(X4,X3,X2)|~subset(esk511_4(X2,X3,X4,X5),X1)|~element(X5,powerset(powerset(esk510_3(X2,X3,X4))))|~in(esk510_3(X2,X3,X4),omega)|~in(X1,X5))).
% 12.82/4.17  cnf(i_0_2107, plain, (esk309_2(X1,X2)=esk310_2(X1,X2)|in(esk316_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_209, plain, (X1=relation_inverse_image(X2,X3)|in(apply(X2,esk15_3(X2,X3,X1)),X3)|in(esk15_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 12.82/4.17  cnf(i_0_588, plain, (relstr_set_smaller(X1,X2,esk113_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|element(esk112_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2761, lemma, (function(esk441_2(X1,X2))|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2762, lemma, (relation(esk441_2(X1,X2))|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2111, plain, (esk322_4(X1,X2,X3,X4)=X4|in(X3,esk320_2(X1,X2))|esk318_2(X1,X2)!=esk319_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.17  cnf(i_0_362, plain, (the_InternalRel(incl_POSet(relation_field(X1)))=X1|~subset(esk55_2(relation_field(X1),X1),esk56_2(relation_field(X1),X1))|~relation(X1)|~in(unordered_pair(unordered_pair(esk55_2(relation_field(X1),X1),esk55_2(relation_field(X1),X1)),unordered_pair(esk55_2(relation_field(X1),X1),esk56_2(relation_field(X1),X1))),X1))).
% 12.82/4.17  cnf(i_0_1946, plain, (unordered_pair(unordered_pair(esk279_1(X1),esk279_1(X1)),unordered_pair(esk279_1(X1),esk280_1(X1)))=esk277_1(X1)|esk284_3(X1,X2,X3)=X3|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2092, plain, (esk309_2(X1,X2)=esk311_2(X1,X2)|in(esk316_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_640, plain, (relstr_element_smaller(X1,X2,esk130_3(X1,X2,X3))|relstr_element_smaller(X1,X2,esk129_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_584, plain, (relstr_set_smaller(X1,X2,esk113_3(X1,X2,X3))|relstr_set_smaller(X1,X2,esk112_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_2362, plain, (in(esk373_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|esk371_3(X1,X2,X3)!=esk370_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk372_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1922, plain, (unordered_pair(unordered_pair(esk281_1(X1),esk281_1(X1)),unordered_pair(esk281_1(X1),esk282_1(X1)))=esk278_1(X1)|esk284_3(X1,X2,X3)=X3|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_206, plain, (empty_carrier(X1)|empty_carrier(X2)|in(apply_netmap(X1,X2,esk13_4(X1,X2,X3,X4)),X3)|~is_often_in(X1,X2,X3)|~net_str(X2,X1)|~one_sorted_str(X1)|~element(X4,the_carrier(X2)))).
% 12.82/4.17  cnf(i_0_2300, plain, (esk341_2(X1,X2)=esk342_2(X1,X2)|in(esk350_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2268, plain, (esk341_2(X1,X2)=esk343_2(X1,X2)|in(esk350_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2284, plain, (in(esk350_4(X1,X2,X3,X4),X2)|in(esk344_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2831, lemma, (X1=esk452_2(X2,X3)|X3=empty_set|in(esk451_1(X4),esk450_0)|~subset(esk452_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk450_0)|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_1677, plain, (esk242_3(X1,X2,X3)=esk243_3(X1,X2,X3)|empty(X1)|in(esk237_2(X1,X2),esk239_2(X1,X2))|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1476, lemma, (esk213_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk207_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1653, plain, (esk242_3(X1,X2,X3)=esk243_3(X1,X2,X3)|empty(X1)|in(esk238_2(X1,X2),esk240_2(X1,X2))|~relation(X2)|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2252, plain, (in(esk350_4(X1,X2,X3,X4),X2)|in(esk346_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2444, lemma, (empty_carrier(X1)|element(esk389_4(X1,X2,X3,X4),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk387_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.17  cnf(i_0_1612, lemma, (X1=esk234_2(X2,X3)|X3=empty_set|subset(X4,esk233_1(X4))|~epred1_0|~subset(esk234_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk232_0)|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_2821, lemma, (function(esk447_2(X1,X2))|element(esk446_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk442_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2533, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1803, plain, (esk258_4(X1,X2,X3,X4)=esk256_4(X1,X2,X3,X4)|esk245_2(X1,X2)=esk246_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2379, plain, (in(X1,esk379_2(X2,X3))|esk376_2(X2,X3)!=esk375_2(X2,X3)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 12.82/4.17  cnf(i_0_1961, plain, (X1=empty_set|in(esk293_3(X2,X3,X1),X1)|esk288_1(X2)!=esk289_1(X2)|~ordinal(X2)|~element(X1,powerset(powerset(esk292_2(X2,X3))))|~in(esk292_2(X2,X3),omega)|~in(X3,esk290_1(X2)))).
% 12.82/4.17  cnf(i_0_1749, plain, (esk258_4(X1,X2,X3,X4)=esk256_4(X1,X2,X3,X4)|esk245_2(X1,X2)=esk247_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1776, plain, (esk258_4(X1,X2,X3,X4)=esk256_4(X1,X2,X3,X4)|esk248_2(X1,X2)=esk250_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2822, lemma, (relation(esk447_2(X1,X2))|element(esk446_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk442_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2217, plain, (in(esk335_2(X1,X2),X2)|in(X3,esk338_2(X1,X2))|subset_complement(the_carrier(X1),esk340_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 12.82/4.17  cnf(i_0_2303, plain, (esk341_2(X1,X2)=esk342_2(X1,X2)|in(esk349_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2534, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1722, plain, (esk258_4(X1,X2,X3,X4)=esk256_4(X1,X2,X3,X4)|esk251_2(X1,X2)=esk253_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1785, plain, (esk258_4(X1,X2,X3,X4)=esk256_4(X1,X2,X3,X4)|empty(X1)|in(esk248_2(X1,X2),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1731, plain, (esk258_4(X1,X2,X3,X4)=esk256_4(X1,X2,X3,X4)|empty(X1)|in(esk251_2(X1,X2),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2976, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|X4=empty_set|~relation_of2_as_subset(X1,X5,X4)|~relation(X2)|~quasi_total(X1,X5,X4)|~function(X2)|~function(X1)|~in(X3,X5))).
% 12.82/4.17  cnf(i_0_2414, plain, (in(esk380_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk377_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2271, plain, (esk341_2(X1,X2)=esk343_2(X1,X2)|in(esk349_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2209, plain, (element(esk340_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk338_2(X1,X2))|esk336_2(X1,X2)!=esk337_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 12.82/4.17  cnf(i_0_2287, plain, (in(esk349_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|in(esk344_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2255, plain, (in(esk349_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|in(esk346_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2472, lemma, (in(set_difference(X1,unordered_pair(X2,X2)),esk401_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))).
% 12.82/4.17  cnf(i_0_2390, plain, (in(esk380_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk378_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk379_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1637, plain, (in(X1,esk241_2(X2,X3))|esk238_2(X2,X3)!=esk237_2(X2,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk244_5(X2,X3,X1,X4,X4))),X3)|~in(X4,X2)|~in(X1,X4))).
% 12.82/4.17  cnf(i_0_1118, plain, (X1=X2|latt_str_of(X3,X4,X1)!=latt_str_of(X5,X6,X2)|~quasi_total(X4,cartesian_product2(X3,X3),X3)|~quasi_total(X1,cartesian_product2(X3,X3),X3)|~relation_of2(X4,cartesian_product2(X3,X3),X3)|~relation_of2(X1,cartesian_product2(X3,X3),X3)|~function(X4)|~function(X1))).
% 12.82/4.17  cnf(i_0_188, plain, (apply(X1,esk10_3(X1,X2,X3))=esk9_3(X1,X2,X3)|X3=relation_image(X1,X2)|in(esk9_3(X1,X2,X3),X3)|~relation(X1)|~function(X1))).
% 12.82/4.17  cnf(i_0_2124, plain, (in(esk321_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|in(esk317_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk320_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2203, plain, (esk323_2(X1,X2)=esk324_2(X1,X2)|in(esk332_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)))).
% 12.82/4.17  cnf(i_0_2171, plain, (esk323_2(X1,X2)=esk325_2(X1,X2)|in(esk332_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)))).
% 12.82/4.17  cnf(i_0_1614, lemma, (X1=esk234_2(X2,X3)|X3=empty_set|in(esk233_1(X4),esk232_0)|~epred1_0|~subset(esk234_2(X2,X3),X1)|~ordinal(X2)|~element(X3,powerset(powerset(X2)))|~in(X4,esk232_0)|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_1977, plain, (epred2_3(esk289_1(X1),esk288_1(X1),esk287_1(X1))|in(esk291_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(X2,esk290_1(X1)))).
% 12.82/4.17  cnf(i_0_1119, plain, (X1=X2|latt_str_of(X3,X1,X4)!=latt_str_of(X5,X2,X6)|~quasi_total(X4,cartesian_product2(X3,X3),X3)|~quasi_total(X1,cartesian_product2(X3,X3),X3)|~relation_of2(X4,cartesian_product2(X3,X3),X3)|~relation_of2(X1,cartesian_product2(X3,X3),X3)|~function(X4)|~function(X1))).
% 12.82/4.17  cnf(i_0_1120, plain, (X1=X2|latt_str_of(X1,X3,X4)!=latt_str_of(X2,X5,X6)|~quasi_total(X4,cartesian_product2(X1,X1),X1)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X4,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~function(X4)|~function(X3))).
% 12.82/4.17  cnf(i_0_1493, lemma, (empty(X1)|in(esk208_2(X1,X2),esk210_2(X1,X2))|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1461, lemma, (empty(X1)|in(esk209_2(X1,X2),esk211_2(X1,X2))|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_485, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk89_2(X1,X2),esk89_2(X1,X2)),unordered_pair(esk89_2(X1,X2),esk90_2(X1,X2))),X1)|~relation(X1))).
% 12.82/4.17  cnf(i_0_2704, lemma, (relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk440_3(X1,X2,X3)=esk439_2(X1,X2)|esk437_2(X1,X2)!=esk438_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2054, plain, (esk296_2(X1,X2)=esk297_2(X1,X2)|in(esk302_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2052, plain, (esk296_2(X1,X2)=esk297_2(X1,X2)|element(esk303_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_229, plain, (element(esk18_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)))).
% 12.82/4.17  cnf(i_0_484, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk89_2(X1,X2),esk90_2(X1,X2)),unordered_pair(esk90_2(X1,X2),esk90_2(X1,X2))),X1)|~relation(X1))).
% 12.82/4.17  cnf(i_0_2982, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk472_4(X2,X3,X4,X1))),X4)|relation_dom_as_subset(X3,X2,X4)!=X3|~relation_of2_as_subset(X4,X3,X2)|~in(X1,X3))).
% 12.82/4.17  cnf(i_0_2456, lemma, (element(esk396_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk393_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 12.82/4.17  cnf(i_0_1960, plain, (X1=esk293_3(X2,X3,X4)|X4=empty_set|esk288_1(X2)!=esk289_1(X2)|~subset(esk293_3(X2,X3,X4),X1)|~ordinal(X2)|~element(X4,powerset(powerset(esk292_2(X2,X3))))|~in(esk292_2(X2,X3),omega)|~in(X3,esk290_1(X2))|~in(X1,X4))).
% 12.82/4.17  cnf(i_0_620, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk123_2(X1,X2),esk123_2(X1,X2)),unordered_pair(esk123_2(X1,X2),esk124_2(X1,X2))),X1)|~relation(X1))).
% 12.82/4.17  cnf(i_0_2019, plain, (esk296_2(X1,X2)=esk298_2(X1,X2)|in(esk302_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2017, plain, (esk296_2(X1,X2)=esk298_2(X1,X2)|element(esk303_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2038, plain, (esk299_2(X1,X2)=esk297_2(X1,X2)|element(esk303_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2003, plain, (esk300_2(X1,X2)=esk298_2(X1,X2)|element(esk303_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1527, lemma, (unordered_pair(esk215_1(X1),esk215_1(X1))=esk216_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk218_1(X1))|~in(X2,X1))).
% 12.82/4.17  cnf(i_0_563, 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))).
% 12.82/4.17  cnf(i_0_564, 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)))).
% 12.82/4.17  cnf(i_0_619, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk124_2(X1,X2),esk124_2(X1,X2)),unordered_pair(esk124_2(X1,X2),esk125_2(X1,X2))),X1)|~relation(X1))).
% 12.82/4.17  cnf(i_0_2033, plain, (closed_subset(esk299_2(X1,X2),X1)|in(esk302_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2031, plain, (closed_subset(esk299_2(X1,X2),X1)|element(esk303_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1998, plain, (closed_subset(esk300_2(X1,X2),X1)|in(esk302_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1996, plain, (closed_subset(esk300_2(X1,X2),X1)|element(esk303_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1517, lemma, (unordered_pair(esk215_1(X1),esk215_1(X1))=esk217_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk218_1(X1))|~in(X2,X1))).
% 12.82/4.17  cnf(i_0_3202, lemma, (X1=relation_dom_restriction(X2,X3)|apply(X1,esk497_3(X3,X1,X2))!=apply(X2,esk497_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))).
% 12.82/4.17  cnf(i_0_2103, plain, (esk315_3(X1,X2,X3)=X3|in(esk312_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2088, plain, (esk315_3(X1,X2,X3)=X3|in(esk313_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2338, plain, (esk353_3(X1,X2,X3)=esk354_3(X1,X2,X3)|in(esk361_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1931, plain, (unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3))=esk286_3(X1,X2,X3)|unordered_pair(esk279_1(X1),esk279_1(X1))=esk280_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2708, lemma, (relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk440_3(X1,X2,X3),powerset(the_carrier(X1)))|esk437_2(X1,X2)!=esk438_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2218, plain, (esk340_4(X1,X2,X3,X4)=X4|in(esk335_2(X1,X2),X2)|in(X3,esk338_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 12.82/4.17  cnf(i_0_2189, plain, (esk331_4(X1,X2,X3,X4)=X4|in(esk326_2(X1,X2),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)))).
% 12.82/4.17  cnf(i_0_2816, lemma, (esk446_3(X1,X2,X3)=esk445_2(X1,X2)|relation_dom(esk447_2(X1,X2))=X2|in(esk442_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_1907, plain, (unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3))=esk286_3(X1,X2,X3)|unordered_pair(esk281_1(X1),esk281_1(X1))=esk282_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2323, plain, (esk353_3(X1,X2,X3)=esk355_3(X1,X2,X3)|in(esk361_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2377, plain, (esk369_3(X1,X2,X3)=esk370_3(X1,X2,X3)|esk373_4(X1,X2,X3,X4)=X4|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk372_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2369, plain, (esk369_3(X1,X2,X3)=esk371_3(X1,X2,X3)|esk373_4(X1,X2,X3,X4)=X4|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk372_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_421, plain, (X1=set_union2(X2,X3)|in(esk70_3(X2,X3,X1),X2)|in(esk70_3(X2,X3,X1),X3)|in(esk70_3(X2,X3,X1),X1))).
% 12.82/4.17  cnf(i_0_2453, lemma, (subset(X1,esk397_4(X2,X3,X3,X1))|in(X3,esk393_1(X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X1,esk396_3(X2,X3,X3)))).
% 12.82/4.17  cnf(i_0_2157, plain, (esk331_4(X1,X2,X3,X4)=X4|in(esk328_2(X1,X2),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)))).
% 12.82/4.17  cnf(i_0_3220, 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))).
% 12.82/4.17  cnf(i_0_673, plain, (empty_carrier(X1)|empty_carrier(X2)|element(k10_filter_1(X1,X2,X3,X4),the_carrier(k8_filter_1(X1,X2)))|~lattice(X2)|~lattice(X1)|~element(X4,the_carrier(X2))|~element(X3,the_carrier(X1))|~latt_str(X2)|~latt_str(X1))).
% 12.82/4.17  cnf(i_0_1768, plain, (empty(X1)|in(esk249_2(X1,X2),esk250_2(X1,X2))|in(esk256_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2427, plain, (esk374_2(X1,X2)=esk375_2(X1,X2)|in(X3,esk379_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 12.82/4.17  cnf(i_0_1714, plain, (empty(X1)|in(esk252_2(X1,X2),esk253_2(X1,X2))|in(esk256_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_224, plain, (X1=topstr_closure(X2,X3)|element(esk20_3(X2,X3,X1),powerset(the_carrier(X2)))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk19_3(X2,X3,X1),X1))).
% 12.82/4.17  cnf(i_0_2748, lemma, (relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk440_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2760, lemma, (relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.17  cnf(i_0_2112, plain, (element(esk322_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk320_2(X1,X2))|esk318_2(X1,X2)!=esk319_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.17  cnf(i_0_2635, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|function(esk429_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1802, plain, (esk245_2(X1,X2)=esk246_2(X1,X2)|empty(X1)|in(esk257_4(X1,X2,X3,X4),esk258_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_230, 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))).
% 12.82/4.17  cnf(i_0_1748, plain, (esk245_2(X1,X2)=esk247_2(X1,X2)|empty(X1)|in(esk257_4(X1,X2,X3,X4),esk258_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2071, plain, (esk304_2(X1,X2)=esk305_2(X1,X2)|in(X3,esk307_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))))).
% 12.82/4.17  cnf(i_0_2142, plain, (in(esk331_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|esk325_2(X1,X2)!=esk324_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_2063, plain, (esk304_2(X1,X2)=esk306_2(X1,X2)|in(X3,esk307_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))))).
% 12.82/4.17  cnf(i_0_2636, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|relation(esk429_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_1775, plain, (esk248_2(X1,X2)=esk250_2(X1,X2)|empty(X1)|in(esk257_4(X1,X2,X3,X4),esk258_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_1638, plain, (in(esk244_5(X1,X2,X3,X4,X4),X4)|in(X3,esk241_2(X1,X2))|esk238_2(X1,X2)!=esk237_2(X1,X2)|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 12.82/4.17  cnf(i_0_180, 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)))).
% 12.82/4.17  cnf(i_0_1721, plain, (esk251_2(X1,X2)=esk253_2(X1,X2)|empty(X1)|in(esk257_4(X1,X2,X3,X4),esk258_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.17  cnf(i_0_222, plain, (X1=topstr_closure(X2,X3)|in(esk19_3(X2,X3,X1),esk20_3(X2,X3,X1))|~top_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(esk19_3(X2,X3,X1),X1))).
% 12.82/4.17  cnf(i_0_2069, plain, (esk308_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk305_2(X1,X2)),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2061, plain, (esk308_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk306_2(X1,X2)),X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2106, plain, (set_difference(esk316_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk309_2(X1,X2)=esk310_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2581, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|function(esk429_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_267, plain, (esk30_4(X1,X2,X3,X4)=X1|esk30_4(X1,X2,X3,X4)=X2|esk30_4(X1,X2,X3,X4)=X3|X4=unordered_triple(X1,X2,X3)|in(esk30_4(X1,X2,X3,X4),X4))).
% 12.82/4.17  cnf(i_0_200, 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)))).
% 12.82/4.17  cnf(i_0_2372, plain, (in(relation_image(X1,esk370_3(X2,X3,X1)),X3)|in(relation_image(X1,X4),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,esk372_3(X2,X3,X1)))).
% 12.82/4.17  cnf(i_0_2364, plain, (in(relation_image(X1,esk371_3(X2,X3,X1)),X3)|in(relation_image(X1,X4),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,esk372_3(X2,X3,X1)))).
% 12.82/4.17  cnf(i_0_1944, plain, (unordered_pair(unordered_pair(esk279_1(X1),esk279_1(X1)),unordered_pair(esk279_1(X1),esk280_1(X1)))=esk277_1(X1)|in(esk285_3(X1,X2,X3),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2091, plain, (set_difference(esk316_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk309_2(X1,X2)=esk311_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2047, plain, (element(esk299_2(X1,X2),powerset(the_carrier(X1)))|in(esk302_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.17  cnf(i_0_2045, plain, (element(esk303_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk299_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2012, plain, (element(esk300_2(X1,X2),powerset(the_carrier(X1)))|in(esk302_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2582, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|relation(esk429_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1920, plain, (unordered_pair(unordered_pair(esk281_1(X1),esk281_1(X1)),unordered_pair(esk281_1(X1),esk282_1(X1)))=esk278_1(X1)|in(esk285_3(X1,X2,X3),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1813, plain, (esk268_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|esk262_3(X1,X2,X3)!=esk261_3(X1,X2,X3)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1812, plain, (esk269_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|esk262_3(X1,X2,X3)!=esk261_3(X1,X2,X3)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2109, plain, (esk309_2(X1,X2)=esk310_2(X1,X2)|in(esk315_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1784, plain, (empty(X1)|in(esk257_4(X1,X2,X3,X4),esk258_4(X1,X2,X3,X4))|in(esk248_2(X1,X2),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2010, plain, (element(esk303_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk300_2(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,esk301_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2536, lemma, (in(apply(esk429_2(X1,X2),X3),esk430_3(X1,X2,X3))|in(esk427_2(X1,X2),X1)|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_3203, lemma, (X1=relation_dom_restriction(X2,X3)|in(esk497_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))).
% 12.82/4.18  cnf(i_0_2532, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1730, plain, (empty(X1)|in(esk257_4(X1,X2,X3,X4),esk258_4(X1,X2,X3,X4))|in(esk251_2(X1,X2),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2094, plain, (esk309_2(X1,X2)=esk311_2(X1,X2)|in(esk315_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_3159, lemma, (apply(X1,esk494_2(X1,X2))=esk493_2(X1,X2)|X2=function_inverse(X1)|apply(X1,esk492_2(X1,X2))!=esk491_2(X1,X2)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk492_2(X1,X2),relation_dom(X1)))).
% 12.82/4.18  cnf(i_0_704, plain, (empty(X1)|empty(X2)|element(apply_binary_as_element(X1,X2,X3,X4,X5,X6),X3)|~quasi_total(X4,cartesian_product2(X1,X2),X3)|~relation_of2(X4,cartesian_product2(X1,X2),X3)|~function(X4)|~element(X6,X2)|~element(X5,X1))).
% 12.82/4.18  cnf(i_0_455, plain, (subset(X1,X2)|in(unordered_pair(unordered_pair(esk80_2(X1,X2),esk80_2(X1,X2)),unordered_pair(esk80_2(X1,X2),esk81_2(X1,X2))),X1)|~relation(X2)|~relation(X1))).
% 12.82/4.18  cnf(i_0_2359, plain, (in(X1,esk372_3(X2,X3,X4))|esk371_3(X2,X3,X4)!=esk370_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))).
% 12.82/4.18  cnf(i_0_2220, plain, (subset_complement(the_carrier(X1),esk339_3(X1,X2,X3))=X3|in(esk335_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk339_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk338_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2644, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|in(apply(esk429_2(X1,X2),X3),esk430_3(X1,X2,X3))|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1499, lemma, (esk210_2(X1,X2)=esk207_2(X1,X2)|empty(X1)|in(X3,esk213_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk212_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1467, lemma, (esk211_2(X1,X2)=esk207_2(X1,X2)|empty(X1)|in(X3,esk213_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk212_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_357, plain, (esk54_3(X1,X2,X3)=X2|X3=fiber(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(X2,esk54_3(X1,X2,X3)),unordered_pair(esk54_3(X1,X2,X3),esk54_3(X1,X2,X3))),X1)|~in(esk54_3(X1,X2,X3),X3))).
% 12.82/4.18  cnf(i_0_2590, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|in(apply(esk429_2(X1,X2),X3),esk430_3(X1,X2,X3))|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2479, lemma, (subset_complement(the_carrier(X1),esk404_4(X1,X2,X3,X4))=esk405_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk404_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk403_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2486, lemma, (subset_complement(the_carrier(X1),esk408_4(X1,X2,X3,X4))=esk409_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk408_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk407_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2753, lemma, (esk440_3(X1,X2,X3)=esk439_2(X1,X2)|function(esk441_2(X1,X2))|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2662, lemma, (in(apply(esk429_2(X1,X2),X3),esk430_3(X1,X2,X3))|in(esk427_2(X1,X2),X1)|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_635, plain, (related(X1,X2,esk130_3(X1,X3,X4))|ex_inf_of_relstr_set(X1,X3)|~related(X1,esk129_3(X1,X3,X4),X4)|~relstr_element_smaller(X1,X3,X4)|~relstr_element_smaller(X1,X3,X2)|~element(X4,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_579, plain, (ex_sup_of_relstr_set(X1,X2)|related(X1,esk113_3(X1,X2,X3),X4)|~relstr_set_smaller(X1,X2,X3)|~relstr_set_smaller(X1,X2,X4)|~related(X1,X3,esk112_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2754, lemma, (esk440_3(X1,X2,X3)=esk439_2(X1,X2)|relation(esk441_2(X1,X2))|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_1540, lemma, (X1=subset_complement(the_carrier(X2),X3)|esk220_2(X2,X4)!=esk221_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)),esk222_2(X2,X4)))).
% 12.82/4.18  cnf(i_0_1575, lemma, (X1=subset_complement(the_carrier(X2),X3)|esk225_2(X2,X4)!=esk226_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)),esk227_2(X2,X4)))).
% 12.82/4.18  cnf(i_0_1900, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk283_2(X2,X3))|esk278_1(X2)!=esk277_1(X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 12.82/4.18  cnf(i_0_2820, lemma, (relation_dom(esk447_2(X1,X2))=X2|element(esk446_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk442_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2102, plain, (in(esk316_3(X1,X2,X3),X2)|in(esk312_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2087, plain, (in(esk316_3(X1,X2,X3),X2)|in(esk313_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1410, plain, (apply_binary_as_element(X1,X2,X3,X4,X5,X6)=apply_binary(X4,X5,X6)|empty(X1)|empty(X2)|~quasi_total(X4,cartesian_product2(X1,X2),X3)|~relation_of2(X4,cartesian_product2(X1,X2),X3)|~function(X4)|~element(X6,X2)|~element(X5,X1))).
% 12.82/4.18  cnf(i_0_3160, lemma, (X1=function_inverse(X2)|in(esk494_2(X2,X1),relation_dom(X2))|apply(X2,esk492_2(X2,X1))!=esk491_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk492_2(X2,X1),relation_dom(X2)))).
% 12.82/4.18  cnf(i_0_1767, plain, (esk258_4(X1,X2,X3,X4)=esk256_4(X1,X2,X3,X4)|empty(X1)|in(esk249_2(X1,X2),esk250_2(X1,X2))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2757, lemma, (function(esk441_2(X1,X2))|element(esk440_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2758, lemma, (relation(esk441_2(X1,X2))|element(esk440_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2206, plain, (esk323_2(X1,X2)=esk324_2(X1,X2)|in(esk331_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,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2174, plain, (esk323_2(X1,X2)=esk325_2(X1,X2)|in(esk331_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,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2634, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|relation_dom(esk429_2(X1,X2))=X1|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1713, plain, (esk258_4(X1,X2,X3,X4)=esk256_4(X1,X2,X3,X4)|empty(X1)|in(esk252_2(X1,X2),esk253_2(X1,X2))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2421, plain, (ordinal(esk377_2(X1,X2))|in(X3,esk379_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2397, plain, (ordinal(esk378_2(X1,X2))|in(X3,esk379_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2580, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|relation_dom(esk429_2(X1,X2))=X1|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2450, lemma, (unordered_pair(unordered_pair(esk391_3(X1,X2,X3),esk391_3(X1,X2,X3)),unordered_pair(esk391_3(X1,X2,X3),esk392_3(X1,X2,X3)))=X3|~in(X3,esk390_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_3164, lemma, (X1=function_inverse(X2)|in(esk491_2(X2,X1),relation_rng(X2))|apply(X1,esk493_2(X2,X1))!=esk494_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk493_2(X2,X1),relation_rng(X2)))).
% 12.82/4.18  cnf(i_0_1639, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|esk238_2(X1,X4)!=esk237_2(X1,X4)|~relation(X4)|~in(X3,esk243_3(X1,X4,X2))|~in(X2,esk241_2(X1,X4)))).
% 12.82/4.18  cnf(i_0_1679, plain, (esk239_2(X1,X2)=esk236_2(X1,X2)|in(X3,esk241_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk244_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 12.82/4.18  cnf(i_0_2378, plain, (esk369_3(X1,X2,X3)=esk370_3(X1,X2,X3)|in(esk373_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk372_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2370, plain, (esk369_3(X1,X2,X3)=esk371_3(X1,X2,X3)|in(esk373_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk372_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2641, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|function(esk429_2(X1,X2))|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2898, lemma, (in(unordered_pair(unordered_pair(X1,esk459_3(X1,X2,X3)),unordered_pair(esk459_3(X1,X2,X3),esk459_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 12.82/4.18  cnf(i_0_1655, plain, (esk240_2(X1,X2)=esk236_2(X1,X2)|in(X3,esk241_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk244_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 12.82/4.18  cnf(i_0_1810, plain, (empty_carrier(X1)|in(esk270_4(X1,X2,X3,X4),X2)|esk262_3(X1,X2,X3)!=esk261_3(X1,X2,X3)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1771, plain, (empty(X1)|in(esk255_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk249_2(X1,X2),esk250_2(X1,X2))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2068, plain, (in(set_difference(cast_as_carrier_subset(X1),esk305_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,esk307_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2060, plain, (in(set_difference(cast_as_carrier_subset(X1),esk306_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,esk307_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1492, lemma, (esk213_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk208_2(X1,X2),esk210_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1460, lemma, (esk213_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk209_2(X1,X2),esk211_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2642, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|relation(esk429_2(X1,X2))|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1717, plain, (empty(X1)|in(esk255_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk252_2(X1,X2),esk253_2(X1,X2))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2525, lemma, (esk430_3(X1,X2,X3)=X3|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_3158, lemma, (X1=function_inverse(X2)|apply(X2,esk492_2(X2,X1))!=esk491_2(X2,X1)|apply(X1,esk493_2(X2,X1))!=esk494_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk492_2(X2,X1),relation_dom(X2))|~in(esk493_2(X2,X1),relation_rng(X2)))).
% 12.82/4.18  cnf(i_0_1814, plain, (empty_carrier(X1)|in(esk268_4(X1,X2,X3,X4),powerset(X3))|esk262_3(X1,X2,X3)!=esk261_3(X1,X2,X3)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2373, plain, (esk373_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk370_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk372_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2365, plain, (esk373_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk371_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk372_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_643, plain, (related(X1,X2,esk130_3(X1,X3,X4))|ex_inf_of_relstr_set(X1,X3)|element(esk129_3(X1,X3,X4),the_carrier(X1))|~relstr_element_smaller(X1,X3,X4)|~relstr_element_smaller(X1,X3,X2)|~element(X4,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_587, plain, (ex_sup_of_relstr_set(X1,X2)|related(X1,esk113_3(X1,X2,X3),X4)|element(esk112_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~relstr_set_smaller(X1,X2,X4)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2587, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|function(esk429_2(X1,X2))|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1680, plain, (esk239_2(X1,X2)=esk236_2(X1,X2)|in(esk244_5(X1,X2,X3,X4,X4),X4)|in(X3,esk241_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 12.82/4.18  cnf(i_0_2733, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|function(esk441_2(X1,X2))|subset_complement(the_carrier(X1),esk440_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_1656, plain, (esk240_2(X1,X2)=esk236_2(X1,X2)|in(esk244_5(X1,X2,X3,X4,X4),X4)|in(X3,esk241_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 12.82/4.18  cnf(i_0_2734, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|relation(esk441_2(X1,X2))|subset_complement(the_carrier(X1),esk440_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2588, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|relation(esk429_2(X1,X2))|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2752, lemma, (relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk440_3(X1,X2,X3)=esk439_2(X1,X2)|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2717, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|function(esk441_2(X1,X2))|subset_complement(the_carrier(X1),esk440_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_199, 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))).
% 12.82/4.18  cnf(i_0_1947, plain, (unordered_pair(unordered_pair(esk279_1(X1),esk279_1(X1)),unordered_pair(esk279_1(X1),esk280_1(X1)))=esk277_1(X1)|in(esk284_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_179, 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))).
% 12.82/4.18  cnf(i_0_2718, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|relation(esk441_2(X1,X2))|subset_complement(the_carrier(X1),esk440_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2659, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1923, plain, (unordered_pair(unordered_pair(esk281_1(X1),esk281_1(X1)),unordered_pair(esk281_1(X1),esk282_1(X1)))=esk278_1(X1)|in(esk284_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2797, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|function(esk447_2(X1,X2))|subset_complement(the_carrier(X1),esk446_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_3161, lemma, (apply(X1,esk491_2(X2,X1))=esk492_2(X2,X1)|X1=function_inverse(X2)|apply(X1,esk493_2(X2,X1))!=esk494_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk493_2(X2,X1),relation_rng(X2)))).
% 12.82/4.18  cnf(i_0_2403, plain, (esk374_2(X1,X2)=esk376_2(X1,X2)|in(X3,esk379_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_161, 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))).
% 12.82/4.18  cnf(i_0_2798, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|relation(esk447_2(X1,X2))|subset_complement(the_carrier(X1),esk446_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2781, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|function(esk447_2(X1,X2))|subset_complement(the_carrier(X1),esk446_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2640, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_625, plain, (X1=complements_of_subsets(X2,X3)|in(subset_complement(X2,esk126_3(X2,X3,X1)),X3)|in(esk126_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 12.82/4.18  cnf(i_0_2415, plain, (esk377_2(X1,X2)=esk375_2(X1,X2)|in(X3,esk379_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2391, plain, (esk378_2(X1,X2)=esk376_2(X1,X2)|in(X3,esk379_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_162, 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))).
% 12.82/4.18  cnf(i_0_2782, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|relation(esk447_2(X1,X2))|subset_complement(the_carrier(X1),esk446_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2653, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2654, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2660, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_479, plain, (X1=relation_dom(X2)|in(unordered_pair(unordered_pair(esk87_2(X2,X1),esk87_2(X2,X1)),unordered_pair(esk87_2(X2,X1),esk88_2(X2,X1))),X2)|in(esk87_2(X2,X1),X1)|~relation(X2))).
% 12.82/4.18  cnf(i_0_2409, plain, (in(X1,esk379_2(X2,X3))|in(esk377_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 12.82/4.18  cnf(i_0_2385, plain, (in(X1,esk379_2(X2,X3))|in(esk378_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 12.82/4.18  cnf(i_0_535, plain, (X1=relation_rng(X2)|in(unordered_pair(unordered_pair(esk102_2(X2,X1),esk103_2(X2,X1)),unordered_pair(esk103_2(X2,X1),esk103_2(X2,X1))),X2)|in(esk102_2(X2,X1),X1)|~relation(X2))).
% 12.82/4.18  cnf(i_0_2219, plain, (element(esk340_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(esk335_2(X1,X2),X2)|in(X3,esk338_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 12.82/4.18  cnf(i_0_1555, lemma, (in(esk219_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)),esk222_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2586, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1486, lemma, (function(esk212_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk208_2(X1,X2),X3),unordered_pair(esk208_2(X1,X2),esk208_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk210_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1958, plain, (element(esk294_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk290_1(X1))|esk288_1(X1)!=esk289_1(X1)|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 12.82/4.18  cnf(i_0_2104, plain, (in(esk315_3(X1,X2,X3),powerset(X1))|in(esk312_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1454, lemma, (function(esk212_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk209_2(X1,X2),X3),unordered_pair(esk209_2(X1,X2),esk209_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk211_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2120, plain, (in(esk317_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk320_2(X1,X2))|subset_complement(the_carrier(X1),esk322_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)))).
% 12.82/4.18  cnf(i_0_2098, plain, (set_difference(esk312_2(X1,X2),unordered_pair(X1,X1))=esk310_2(X1,X2)|esk315_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2083, plain, (set_difference(esk313_2(X1,X2),unordered_pair(X1,X1))=esk311_2(X1,X2)|esk315_3(X1,X2,X3)=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_538, plain, (in(unordered_pair(unordered_pair(X1,esk101_3(X2,relation_rng(X2),X1)),unordered_pair(esk101_3(X2,relation_rng(X2),X1),esk101_3(X2,relation_rng(X2),X1))),X2)|~relation(X2)|~in(X1,relation_rng(X2)))).
% 12.82/4.18  cnf(i_0_1487, lemma, (relation(esk212_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk208_2(X1,X2),X3),unordered_pair(esk208_2(X1,X2),esk208_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk210_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2089, plain, (in(esk315_3(X1,X2,X3),powerset(X1))|in(esk313_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1475, lemma, (empty(X1)|in(X2,esk213_4(X1,X3,X4,X2))|in(esk207_2(X1,X3),X1)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),esk212_2(X1,X3)))).
% 12.82/4.18  cnf(i_0_1455, lemma, (relation(esk212_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk209_2(X1,X2),X3),unordered_pair(esk209_2(X1,X2),esk209_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk211_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_3193, lemma, (related(X1,X2,X3)|~full_subrelstr(X1,X4)|~subrelstr(X1,X4)|~related(X4,X2,X3)|~element(X3,the_carrier(X4))|~element(X2,the_carrier(X4))|~in(X3,the_carrier(X1))|~in(X2,the_carrier(X1))|~rel_str(X4))).
% 12.82/4.18  cnf(i_0_2101, plain, (set_difference(esk316_3(X1,X2,X3),unordered_pair(X1,X1))=X3|in(esk312_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2086, plain, (set_difference(esk316_3(X1,X2,X3),unordered_pair(X1,X1))=X3|in(esk313_2(X1,X2),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2483, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk407_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk410_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)))).
% 12.82/4.18  cnf(i_0_2796, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|relation_dom(esk447_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk446_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_1955, plain, (subset(X1,esk295_4(X2,X3,X3,X1))|in(X3,esk290_1(X2))|esk288_1(X2)!=esk289_1(X2)|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X1,esk294_3(X2,X3,X3)))).
% 12.82/4.18  cnf(i_0_2756, lemma, (relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk440_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2780, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|relation_dom(esk447_2(X1,X2))=X2|subset_complement(the_carrier(X1),esk446_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2652, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2531, lemma, (esk430_3(X1,X2,X3)=X3|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1969, plain, (epred2_3(esk289_1(X1),esk288_1(X1),esk287_1(X1))|in(X2,esk290_1(X1))|esk294_3(X1,X2,X2)!=empty_set|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 12.82/4.18  cnf(i_0_2658, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2809, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|function(esk447_2(X1,X2))|in(esk445_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2810, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|relation(esk447_2(X1,X2))|in(esk445_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_1948, plain, (esk276_1(X1)=esk277_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk283_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 12.82/4.18  cnf(i_0_2793, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|function(esk447_2(X1,X2))|in(esk445_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_1811, plain, (empty_carrier(X1)|element(esk270_4(X1,X2,X3,X4),the_carrier(X1))|esk262_3(X1,X2,X3)!=esk261_3(X1,X2,X3)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_220, plain, (X1=topstr_closure(X2,X3)|in(esk19_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(esk19_3(X2,X3,X1),X4))).
% 12.82/4.18  cnf(i_0_1140, 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))).
% 12.82/4.18  cnf(i_0_1951, plain, (unordered_pair(unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3)),unordered_pair(esk285_3(X1,X2,X3),esk286_3(X1,X2,X3)))=X3|esk276_1(X1)=esk277_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2441, lemma, (empty_carrier(X1)|in(X2,esk387_3(X1,X3,X4))|~relstr_set_smaller(X1,X2,X5)|~transitive_relstr(X1)|~finite(X4)|~element(X3,powerset(the_carrier(X1)))|~element(X4,powerset(X3))|~in(X2,powerset(X4))|~in(X5,X3)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2794, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|relation(esk447_2(X1,X2))|in(esk445_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_1404, plain, (k10_filter_1(X1,X2,X3,X4)=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))|empty_carrier(X1)|empty_carrier(X2)|~lattice(X2)|~lattice(X1)|~element(X4,the_carrier(X2))|~element(X3,the_carrier(X1))|~latt_str(X2)|~latt_str(X1))).
% 12.82/4.18  cnf(i_0_1924, plain, (esk276_1(X1)=esk278_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk283_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 12.82/4.18  cnf(i_0_1927, plain, (unordered_pair(unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3)),unordered_pair(esk285_3(X1,X2,X3),esk286_3(X1,X2,X3)))=X3|esk276_1(X1)=esk278_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2442, lemma, (relstr_set_smaller(X1,esk388_4(X1,X2,X3,X4),esk389_4(X1,X2,X3,X4))|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk387_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1978, plain, (in(X1,esk301_2(X2,X3))|esk298_2(X2,X3)!=esk297_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))))).
% 12.82/4.18  cnf(i_0_1903, plain, (unordered_pair(unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3)),unordered_pair(esk285_3(X1,X2,X3),esk286_3(X1,X2,X3)))=X3|esk278_1(X1)!=esk277_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1573, lemma, (esk228_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk227_2(X1,X2))|esk225_2(X1,X2)!=esk226_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2121, plain, (esk322_4(X1,X2,X3,X4)=X4|in(esk317_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk320_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2190, plain, (in(esk331_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk326_2(X1,X2),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)))).
% 12.82/4.18  cnf(i_0_1936, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk283_2(X2,X3))|in(esk279_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 12.82/4.18  cnf(i_0_2454, lemma, (in(esk397_4(X1,X2,X2,X3),esk396_3(X1,X2,X2))|in(X2,esk393_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk396_3(X1,X2,X2)))).
% 12.82/4.18  cnf(i_0_2158, plain, (in(esk331_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk328_2(X1,X2),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)))).
% 12.82/4.18  cnf(i_0_1661, plain, (in(X1,esk241_2(X2,X3))|in(esk236_2(X2,X3),X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk244_5(X2,X3,X1,X4,X4))),X3)|~in(X4,X2)|~in(X1,X4))).
% 12.82/4.18  cnf(i_0_2623, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk423_2(X1,X2),esk425_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1862, plain, (esk268_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|in(esk264_3(X1,X2,X3),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1827, plain, (esk268_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|in(esk266_3(X1,X2,X3),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2070, plain, (in(set_difference(cast_as_carrier_subset(X1),esk305_2(X1,X2)),X2)|in(esk308_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2062, plain, (in(set_difference(cast_as_carrier_subset(X1),esk306_2(X1,X2)),X2)|in(esk308_3(X1,X2,X3),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk307_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1912, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk283_2(X2,X3))|in(esk281_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 12.82/4.18  cnf(i_0_1861, plain, (esk269_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|in(esk264_3(X1,X2,X3),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1826, plain, (esk269_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|in(esk266_3(X1,X2,X3),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2075, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk314_2(X2,X3))|esk311_2(X2,X3)!=esk310_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))).
% 12.82/4.18  cnf(i_0_2226, plain, (subset_complement(the_carrier(X1),esk335_2(X1,X2))=esk336_2(X1,X2)|in(esk339_3(X1,X2,X3),X2)|~one_sorted_str(X1)|~element(esk335_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk338_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2216, plain, (subset_complement(the_carrier(X1),esk335_2(X1,X2))=esk337_2(X1,X2)|in(esk339_3(X1,X2,X3),X2)|~one_sorted_str(X1)|~element(esk335_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk338_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2569, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk424_2(X1,X2),esk426_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2633, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|esk430_3(X1,X2,X3)=X3|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2579, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|esk430_3(X1,X2,X3)=X3|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2181, plain, (subset_complement(the_carrier(X1),esk326_2(X1,X2))=esk327_2(X1,X2)|esk331_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk326_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2149, plain, (subset_complement(the_carrier(X1),esk328_2(X1,X2))=esk329_2(X1,X2)|esk331_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk328_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2123, plain, (subset_complement(the_carrier(X1),esk321_3(X1,X2,X3))=X3|in(esk317_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk321_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk320_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1766, plain, (empty(X1)|in(esk257_4(X1,X2,X3,X4),esk258_4(X1,X2,X3,X4))|in(esk249_2(X1,X2),esk250_2(X1,X2))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_397, plain, (X1=X2|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk64_2(X1,X2),esk64_2(X1,X2)),unordered_pair(esk64_2(X1,X2),esk65_2(X1,X2))),X2)|~in(unordered_pair(unordered_pair(esk64_2(X1,X2),esk64_2(X1,X2)),unordered_pair(esk64_2(X1,X2),esk65_2(X1,X2))),X1))).
% 12.82/4.18  cnf(i_0_2138, plain, (subset_complement(the_carrier(X1),esk332_4(X1,X2,X3,X4))=esk333_4(X1,X2,X3,X4)|esk325_2(X1,X2)!=esk324_2(X1,X2)|~one_sorted_str(X1)|~element(esk332_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2235, plain, (subset_complement(the_carrier(X1),esk350_4(X1,X2,X3,X4))=esk351_4(X1,X2,X3,X4)|esk343_2(X1,X2)!=esk342_2(X1,X2)|~one_sorted_str(X1)|~element(esk350_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1712, plain, (empty(X1)|in(esk257_4(X1,X2,X3,X4),esk258_4(X1,X2,X3,X4))|in(esk252_2(X1,X2),esk253_2(X1,X2))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2278, plain, (subset_complement(the_carrier(X1),esk344_2(X1,X2))=esk345_2(X1,X2)|esk349_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk344_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2246, plain, (subset_complement(the_carrier(X1),esk346_2(X1,X2))=esk347_2(X1,X2)|esk349_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(esk346_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1939, plain, (unordered_pair(unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3)),unordered_pair(esk285_3(X1,X2,X3),esk286_3(X1,X2,X3)))=X3|in(esk279_1(X1),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1883, plain, (esk260_3(X1,X2,X3)=esk261_3(X1,X2,X3)|esk268_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1848, plain, (esk260_3(X1,X2,X3)=esk262_3(X1,X2,X3)|esk268_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1876, plain, (esk263_3(X1,X2,X3)=esk261_3(X1,X2,X3)|esk268_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1841, plain, (esk265_3(X1,X2,X3)=esk262_3(X1,X2,X3)|esk268_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1915, plain, (unordered_pair(unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3)),unordered_pair(esk285_3(X1,X2,X3),esk286_3(X1,X2,X3)))=X3|in(esk281_1(X1),X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2187, plain, (in(esk332_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk326_2(X1,X2),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)))).
% 12.82/4.18  cnf(i_0_2155, plain, (in(esk332_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk328_2(X1,X2),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)))).
% 12.82/4.18  cnf(i_0_2732, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk440_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2624, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk423_2(X1,X2),esk425_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1662, plain, (in(esk244_5(X1,X2,X3,X4,X4),X4)|in(X3,esk241_2(X1,X2))|in(esk236_2(X1,X2),X1)|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 12.82/4.18  cnf(i_0_1882, plain, (esk260_3(X1,X2,X3)=esk261_3(X1,X2,X3)|esk269_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1847, plain, (esk260_3(X1,X2,X3)=esk262_3(X1,X2,X3)|esk269_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1875, plain, (esk263_3(X1,X2,X3)=esk261_3(X1,X2,X3)|esk269_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2716, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|subset_complement(the_carrier(X1),esk440_3(X1,X2,X3))!=X3|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_1538, lemma, (esk223_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk222_2(X1,X2))|esk220_2(X1,X2)!=esk221_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2570, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk424_2(X1,X2),esk426_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2626, lemma, (in(apply(esk429_2(X1,X2),X3),esk430_3(X1,X2,X3))|in(esk423_2(X1,X2),esk425_2(X1,X2))|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1840, plain, (esk265_3(X1,X2,X3)=esk262_3(X1,X2,X3)|esk269_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2097, plain, (set_difference(esk312_2(X1,X2),unordered_pair(X1,X1))=esk310_2(X1,X2)|in(esk316_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2082, plain, (set_difference(esk313_2(X1,X2),unordered_pair(X1,X1))=esk311_2(X1,X2)|in(esk316_3(X1,X2,X3),X2)|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2572, lemma, (in(apply(esk429_2(X1,X2),X3),esk430_3(X1,X2,X3))|in(esk424_2(X1,X2),esk426_2(X1,X2))|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2375, plain, (esk369_3(X1,X2,X3)=esk370_3(X1,X2,X3)|in(X4,esk372_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))).
% 12.82/4.18  cnf(i_0_2763, lemma, (apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk446_3(X1,X2,X4))!=X4|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_1869, plain, (esk268_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|element(esk264_3(X1,X2,X3),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_298, plain, (unordered_pair(unordered_pair(esk37_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk37_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)),unordered_pair(esk37_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk38_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X3=X1)).
% 12.82/4.18  cnf(i_0_355, plain, (X1=fiber(X2,X3)|in(unordered_pair(unordered_pair(X3,esk54_3(X2,X3,X1)),unordered_pair(esk54_3(X2,X3,X1),esk54_3(X2,X3,X1))),X2)|in(esk54_3(X2,X3,X1),X1)|~relation(X2))).
% 12.82/4.18  cnf(i_0_2367, plain, (esk369_3(X1,X2,X3)=esk371_3(X1,X2,X3)|in(X4,esk372_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))).
% 12.82/4.18  cnf(i_0_1681, plain, (esk239_2(X1,X2)=esk236_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(X4,esk243_3(X1,X2,X3))|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1657, plain, (esk240_2(X1,X2)=esk236_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(X4,esk243_3(X1,X2,X3))|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1834, plain, (esk268_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|element(esk266_3(X1,X2,X3),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1868, plain, (esk269_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|element(esk264_3(X1,X2,X3),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1833, plain, (esk269_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|element(esk266_3(X1,X2,X3),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_390, plain, (unordered_pair(unordered_pair(esk62_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk61_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)),unordered_pair(esk61_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk61_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X3=X2)).
% 12.82/4.18  cnf(i_0_2639, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|esk430_3(X1,X2,X3)=X3|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1589, lemma, (X1=subset_complement(the_carrier(X2),X3)|in(esk224_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)),esk227_2(X2,X4)))).
% 12.82/4.18  cnf(i_0_1663, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk236_2(X1,X4),X1)|~relation(X4)|~in(X3,esk243_3(X1,X4,X2))|~in(X2,esk241_2(X1,X4)))).
% 12.82/4.18  cnf(i_0_2617, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(esk423_2(X1,X2),esk425_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1572, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk227_2(X3,X4))|subset_complement(the_carrier(X3),esk228_4(X3,X4,X1,X2))!=X2|esk225_2(X3,X4)!=esk226_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,X4))).
% 12.82/4.18  cnf(i_0_2622, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk423_2(X1,X2),esk425_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2585, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|esk430_3(X1,X2,X3)=X3|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1933, plain, (unordered_pair(unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3)),unordered_pair(esk285_3(X1,X2,X3),esk286_3(X1,X2,X3)))=X3|unordered_pair(esk279_1(X1),esk279_1(X1))=esk280_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2563, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(esk424_2(X1,X2),esk426_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2618, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(esk423_2(X1,X2),esk425_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2564, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(esk424_2(X1,X2),esk426_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2568, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk424_2(X1,X2),esk426_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2775, lemma, (apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk445_2(X1,X2),X2)|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_1859, plain, (empty_carrier(X1)|in(esk270_4(X1,X2,X3,X4),X2)|in(esk264_3(X1,X2,X3),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1824, plain, (empty_carrier(X1)|in(esk270_4(X1,X2,X3,X4),X2)|in(esk266_3(X1,X2,X3),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_639, plain, (related(X1,X2,esk130_3(X1,X3,X4))|relstr_element_smaller(X1,X3,esk129_3(X1,X3,X4))|ex_inf_of_relstr_set(X1,X3)|~relstr_element_smaller(X1,X3,X4)|~relstr_element_smaller(X1,X3,X2)|~element(X4,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_583, plain, (relstr_set_smaller(X1,X2,esk112_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|related(X1,esk113_3(X1,X2,X3),X4)|~relstr_set_smaller(X1,X2,X3)|~relstr_set_smaller(X1,X2,X4)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1909, plain, (unordered_pair(unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3)),unordered_pair(esk285_3(X1,X2,X3),esk286_3(X1,X2,X3)))=X3|unordered_pair(esk281_1(X1),esk281_1(X1))=esk282_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1971, plain, (epred2_3(esk289_1(X1),esk288_1(X1),esk287_1(X1))|in(X2,esk290_1(X1))|in(X2,omega)|~ordinal(X1)|~ordinal(X2)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 12.82/4.18  cnf(i_0_1597, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk225_2(X1,X2)|in(X3,X2)|~one_sorted_str(X1)|~element(esk224_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)),esk227_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_617, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk119_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)))).
% 12.82/4.18  cnf(i_0_1943, plain, (unordered_pair(unordered_pair(esk279_1(X1),esk279_1(X1)),unordered_pair(esk279_1(X1),esk280_1(X1)))=esk277_1(X1)|unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3))=esk286_3(X1,X2,X3)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_562, plain, (X1=relation_inverse(X2)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk106_2(X2,X1),esk106_2(X2,X1)),unordered_pair(esk106_2(X2,X1),esk107_2(X2,X1))),X1)|~in(unordered_pair(unordered_pair(esk106_2(X2,X1),esk107_2(X2,X1)),unordered_pair(esk107_2(X2,X1),esk107_2(X2,X1))),X2))).
% 12.82/4.18  cnf(i_0_2512, lemma, (empty_carrier(X1)|in(esk421_3(X1,X2,X3),X2)|in(esk420_3(X1,X2,X3),X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1491, lemma, (empty(X1)|in(esk208_2(X1,X2),esk210_2(X1,X2))|in(X3,esk213_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk212_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1919, plain, (unordered_pair(unordered_pair(esk281_1(X1),esk281_1(X1)),unordered_pair(esk281_1(X1),esk282_1(X1)))=esk278_1(X1)|unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3))=esk286_3(X1,X2,X3)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1583, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk226_2(X1,X2)|in(X3,X2)|~one_sorted_str(X1)|~element(esk224_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)),esk227_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2699, lemma, (apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk440_3(X1,X2,X4))!=X4|esk437_2(X1,X2)!=esk438_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)))).
% 12.82/4.18  cnf(i_0_2484, lemma, (esk410_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)),esk407_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)))).
% 12.82/4.18  cnf(i_0_1459, lemma, (empty(X1)|in(esk209_2(X1,X2),esk211_2(X1,X2))|in(X3,esk213_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk212_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1880, plain, (esk260_3(X1,X2,X3)=esk261_3(X1,X2,X3)|empty_carrier(X1)|in(esk270_4(X1,X2,X3,X4),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1845, plain, (esk260_3(X1,X2,X3)=esk262_3(X1,X2,X3)|empty_carrier(X1)|in(esk270_4(X1,X2,X3,X4),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1873, plain, (esk263_3(X1,X2,X3)=esk261_3(X1,X2,X3)|empty_carrier(X1)|in(esk270_4(X1,X2,X3,X4),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2657, lemma, (esk430_3(X1,X2,X3)=X3|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2737, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|esk440_3(X1,X2,X3)=esk439_2(X1,X2)|function(esk441_2(X1,X2))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2738, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|esk440_3(X1,X2,X3)=esk439_2(X1,X2)|relation(esk441_2(X1,X2))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2476, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk403_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk406_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|~one_sorted_str(X3)|~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)))).
% 12.82/4.18  cnf(i_0_2099, plain, (set_difference(esk312_2(X1,X2),unordered_pair(X1,X1))=esk310_2(X1,X2)|in(esk315_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1838, plain, (esk265_3(X1,X2,X3)=esk262_3(X1,X2,X3)|empty_carrier(X1)|in(esk270_4(X1,X2,X3,X4),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2084, plain, (set_difference(esk313_2(X1,X2),unordered_pair(X1,X1))=esk311_2(X1,X2)|in(esk315_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2105, plain, (esk309_2(X1,X2)=esk310_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk314_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))).
% 12.82/4.18  cnf(i_0_2616, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk423_2(X1,X2),esk425_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2562, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(esk424_2(X1,X2),esk426_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk428_4(X1,X2,X3,esk427_2(X1,X2)))),X2)|~in(X3,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2721, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|esk440_3(X1,X2,X3)=esk439_2(X1,X2)|function(esk441_2(X1,X2))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_1587, lemma, (esk228_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk227_2(X1,X2))|in(esk224_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2090, plain, (esk309_2(X1,X2)=esk311_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk314_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))).
% 12.82/4.18  cnf(i_0_2651, lemma, (esk430_3(X1,X2,X3)=X3|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2722, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|esk440_3(X1,X2,X3)=esk439_2(X1,X2)|relation(esk441_2(X1,X2))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2801, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|esk446_3(X1,X2,X3)=esk445_2(X1,X2)|function(esk447_2(X1,X2))|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2842, lemma, (X1=empty_set|X2=empty_set|in(esk452_2(X3,X1),X1)|in(esk449_2(X4,X2),X2)|~ordinal(X4)|~ordinal(X3)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3)))|~in(X4,omega)|~in(X4,esk448_0)|~in(X3,omega))).
% 12.82/4.18  cnf(i_0_1966, plain, (epred2_3(esk289_1(X1),esk288_1(X1),esk287_1(X1))|in(X2,esk290_1(X1))|esk295_4(X1,X2,X2,X3)!=X3|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk294_3(X1,X2,X2)))).
% 12.82/4.18  cnf(i_0_1442, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|esk209_2(X1,X4)!=esk208_2(X1,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk212_2(X1,X4))|~in(X3,esk213_4(X1,X4,X5,X2)))).
% 12.82/4.18  cnf(i_0_1809, plain, (relstr_set_smaller(X1,esk269_4(X1,X2,X3,X4),esk270_4(X1,X2,X3,X4))|empty_carrier(X1)|esk262_3(X1,X2,X3)!=esk261_3(X1,X2,X3)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2802, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|esk446_3(X1,X2,X3)=esk445_2(X1,X2)|relation(esk447_2(X1,X2))|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2785, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|esk446_3(X1,X2,X3)=esk445_2(X1,X2)|function(esk447_2(X1,X2))|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_236, plain, (in(unordered_pair(unordered_pair(X1,esk21_4(X2,X3,relation_image(X2,X3),X1)),unordered_pair(esk21_4(X2,X3,relation_image(X2,X3),X1),esk21_4(X2,X3,relation_image(X2,X3),X1))),X2)|~relation(X2)|~in(X1,relation_image(X2,X3)))).
% 12.82/4.18  cnf(i_0_1674, plain, (in(esk237_2(X1,X2),esk239_2(X1,X2))|in(esk244_5(X1,X2,X3,X4,X4),X4)|in(X3,esk241_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 12.82/4.18  cnf(i_0_1673, plain, (in(esk237_2(X1,X2),esk239_2(X1,X2))|in(X3,esk241_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk244_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 12.82/4.18  cnf(i_0_1650, plain, (in(esk238_2(X1,X2),esk240_2(X1,X2))|in(esk244_5(X1,X2,X3,X4,X4),X4)|in(X3,esk241_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 12.82/4.18  cnf(i_0_2786, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|esk446_3(X1,X2,X3)=esk445_2(X1,X2)|relation(esk447_2(X1,X2))|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_361, plain, (the_InternalRel(incl_POSet(relation_field(X1)))=X1|subset(esk55_2(relation_field(X1),X1),esk56_2(relation_field(X1),X1))|in(unordered_pair(unordered_pair(esk55_2(relation_field(X1),X1),esk55_2(relation_field(X1),X1)),unordered_pair(esk55_2(relation_field(X1),X1),esk56_2(relation_field(X1),X1))),X1)|~relation(X1))).
% 12.82/4.18  cnf(i_0_2808, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|relation_dom(esk447_2(X1,X2))=X2|in(esk445_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_1649, plain, (in(esk238_2(X1,X2),esk240_2(X1,X2))|in(X3,esk241_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk244_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 12.82/4.18  cnf(i_0_2520, lemma, (relstr_set_smaller(X1,X2,esk421_3(X1,X3,X2))|empty_carrier(X1)|in(esk418_3(X1,X3,X2),X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X2)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(X3))|~in(X4,X3)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2517, lemma, (relstr_set_smaller(X1,X2,esk421_3(X1,X3,X2))|subset(esk419_3(X1,X3,X2),X2)|empty_carrier(X1)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X2)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(X3))|~in(X4,X3)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2374, plain, (in(esk373_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk370_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk372_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2611, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X3),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,esk425_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2792, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|relation_dom(esk447_2(X1,X2))=X2|in(esk445_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2276, plain, (subset_complement(the_carrier(X1),esk344_2(X1,X2))=esk345_2(X1,X2)|in(esk350_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(esk344_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1627, lemma, (X1=empty_set|X2=empty_set|in(esk234_2(X3,X1),X1)|in(esk231_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,esk230_0)|~in(X3,omega))).
% 12.82/4.18  cnf(i_0_2557, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X3),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,esk426_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2366, plain, (in(esk373_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk371_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk372_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2067, plain, (in(set_difference(cast_as_carrier_subset(X1),esk305_2(X1,X2)),X2)|in(X3,esk307_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))))).
% 12.82/4.18  cnf(i_0_2612, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X3),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,esk425_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2059, plain, (in(set_difference(cast_as_carrier_subset(X1),esk306_2(X1,X2)),X2)|in(X3,esk307_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))))).
% 12.82/4.18  cnf(i_0_2244, plain, (subset_complement(the_carrier(X1),esk346_2(X1,X2))=esk347_2(X1,X2)|in(esk350_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(esk346_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2020, plain, (subset(X1,esk297_2(X2,X1))|in(X3,esk301_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))))).
% 12.82/4.18  cnf(i_0_2558, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X3),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,esk426_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1863, plain, (empty_carrier(X1)|in(esk268_4(X1,X2,X3,X4),powerset(X3))|in(esk264_3(X1,X2,X3),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1860, plain, (empty_carrier(X1)|element(esk270_4(X1,X2,X3,X4),the_carrier(X1))|in(esk264_3(X1,X2,X3),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1828, plain, (empty_carrier(X1)|in(esk268_4(X1,X2,X3,X4),powerset(X3))|in(esk266_3(X1,X2,X3),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_428, plain, (unordered_pair(unordered_pair(esk74_3(X1,X2,X3),esk74_3(X1,X2,X3)),unordered_pair(esk74_3(X1,X2,X3),esk75_3(X1,X2,X3)))=esk73_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk73_3(X1,X2,X3),X3))).
% 12.82/4.18  cnf(i_0_1985, plain, (subset(X1,esk298_2(X2,X1))|in(X3,esk301_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))))).
% 12.82/4.18  cnf(i_0_2745, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|function(esk441_2(X1,X2))|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2433, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk382_3(X3,X4,X5))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk386_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))).
% 12.82/4.18  cnf(i_0_1825, plain, (empty_carrier(X1)|element(esk270_4(X1,X2,X3,X4),the_carrier(X1))|in(esk266_3(X1,X2,X3),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1866, plain, (empty_carrier(X1)|element(esk264_3(X1,X2,X3),the_carrier(X1))|in(esk270_4(X1,X2,X3,X4),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1831, plain, (empty_carrier(X1)|element(esk266_3(X1,X2,X3),the_carrier(X1))|in(esk270_4(X1,X2,X3,X4),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2610, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X3),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,esk425_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2746, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|relation(esk441_2(X1,X2))|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2729, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|function(esk441_2(X1,X2))|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_433, plain, (unordered_pair(unordered_pair(esk71_4(X1,X2,cartesian_product2(X1,X2),X3),esk71_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk71_4(X1,X2,cartesian_product2(X1,X2),X3),esk72_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2556, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X3),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,esk426_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1956, plain, (in(esk295_4(X1,X2,X2,X3),esk294_3(X1,X2,X2))|in(X2,esk290_1(X1))|esk288_1(X1)!=esk289_1(X1)|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk294_3(X1,X2,X2)))).
% 12.82/4.18  cnf(i_0_1537, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk222_2(X3,X4))|subset_complement(the_carrier(X3),esk223_4(X3,X4,X1,X2))!=X2|esk220_2(X3,X4)!=esk221_2(X3,X4)|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,complements_of_subsets(the_carrier(X3),X4)))).
% 12.82/4.18  cnf(i_0_2048, plain, (esk296_2(X1,X2)=esk297_2(X1,X2)|in(X3,esk301_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))))).
% 12.82/4.18  cnf(i_0_1160, 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)))).
% 12.82/4.18  cnf(i_0_2730, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|relation(esk441_2(X1,X2))|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2741, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|function(esk441_2(X1,X2))|element(esk440_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2096, plain, (set_difference(esk312_2(X1,X2),unordered_pair(X1,X1))=esk310_2(X1,X2)|set_difference(esk316_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2013, plain, (esk296_2(X1,X2)=esk298_2(X1,X2)|in(X3,esk301_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))))).
% 12.82/4.18  cnf(i_0_2034, plain, (esk299_2(X1,X2)=esk297_2(X1,X2)|in(X3,esk301_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))))).
% 12.82/4.18  cnf(i_0_2081, plain, (set_difference(esk313_2(X1,X2),unordered_pair(X1,X1))=esk311_2(X1,X2)|set_difference(esk316_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~ordinal(X1)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~in(X3,esk314_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2742, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|relation(esk441_2(X1,X2))|element(esk440_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2725, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|function(esk441_2(X1,X2))|element(esk440_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_1930, plain, (unordered_pair(esk279_1(X1),esk279_1(X1))=esk280_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk283_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 12.82/4.18  cnf(i_0_2122, plain, (element(esk322_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(esk317_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(X3,esk320_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_1999, plain, (esk300_2(X1,X2)=esk298_2(X1,X2)|in(X3,esk301_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))))).
% 12.82/4.18  cnf(i_0_2027, plain, (closed_subset(esk299_2(X1,X2),X1)|in(X3,esk301_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))))).
% 12.82/4.18  cnf(i_0_2726, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|relation(esk441_2(X1,X2))|element(esk440_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2805, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|function(esk447_2(X1,X2))|element(esk446_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_1992, plain, (closed_subset(esk300_2(X1,X2),X1)|in(X3,esk301_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))))).
% 12.82/4.18  cnf(i_0_2371, plain, (in(relation_image(X1,esk370_3(X2,X3,X1)),X3)|in(X4,esk372_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))).
% 12.82/4.18  cnf(i_0_2806, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|relation(esk447_2(X1,X2))|element(esk446_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2789, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|function(esk447_2(X1,X2))|element(esk446_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2790, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|relation(esk447_2(X1,X2))|element(esk446_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_1906, plain, (unordered_pair(esk281_1(X1),esk281_1(X1))=esk282_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk283_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 12.82/4.18  cnf(i_0_2363, plain, (in(relation_image(X1,esk371_3(X2,X3,X1)),X3)|in(X4,esk372_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))).
% 12.82/4.18  cnf(i_0_2222, plain, (subset_complement(the_carrier(X1),esk335_2(X1,X2))=esk336_2(X1,X2)|in(X3,esk338_2(X1,X2))|subset_complement(the_carrier(X1),esk340_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk335_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 12.82/4.18  cnf(i_0_2212, plain, (subset_complement(the_carrier(X1),esk335_2(X1,X2))=esk337_2(X1,X2)|in(X3,esk338_2(X1,X2))|subset_complement(the_carrier(X1),esk340_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk335_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 12.82/4.18  cnf(i_0_2621, lemma, (esk430_3(X1,X2,X3)=X3|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk423_2(X1,X2),esk425_2(X1,X2))|~relation(X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2989, lemma, (in(unordered_pair(unordered_pair(X1,esk474_4(X2,X3,X4,X1)),unordered_pair(esk474_4(X2,X3,X4,X1),esk474_4(X2,X3,X4,X1))),X4)|relation_rng_as_subset(X2,X3,X4)!=X3|~relation_of2_as_subset(X4,X2,X3)|~in(X1,X3))).
% 12.82/4.18  cnf(i_0_1973, plain, (X1=empty_set|epred2_3(esk289_1(X2),esk288_1(X2),esk287_1(X2))|in(esk293_3(X2,X3,X1),X1)|~ordinal(X2)|~element(X1,powerset(powerset(esk292_2(X2,X3))))|~in(esk292_2(X2,X3),omega)|~in(X3,esk290_1(X2)))).
% 12.82/4.18  cnf(i_0_1884, plain, (esk260_3(X1,X2,X3)=esk261_3(X1,X2,X3)|empty_carrier(X1)|in(esk268_4(X1,X2,X3,X4),powerset(X3))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1881, plain, (esk260_3(X1,X2,X3)=esk261_3(X1,X2,X3)|empty_carrier(X1)|element(esk270_4(X1,X2,X3,X4),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1849, plain, (esk260_3(X1,X2,X3)=esk262_3(X1,X2,X3)|empty_carrier(X1)|in(esk268_4(X1,X2,X3,X4),powerset(X3))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1675, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk237_2(X1,X4),esk239_2(X1,X4))|~relation(X4)|~in(X3,esk243_3(X1,X4,X2))|~in(X2,esk241_2(X1,X4)))).
% 12.82/4.18  cnf(i_0_1867, plain, (empty_carrier(X1)|element(esk270_4(X1,X2,X3,X4),the_carrier(X1))|element(esk264_3(X1,X2,X3),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1832, plain, (empty_carrier(X1)|element(esk270_4(X1,X2,X3,X4),the_carrier(X1))|element(esk266_3(X1,X2,X3),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2223, plain, (subset_complement(the_carrier(X1),esk335_2(X1,X2))=esk336_2(X1,X2)|esk340_4(X1,X2,X3,X4)=X4|in(X3,esk338_2(X1,X2))|~one_sorted_str(X1)|~element(esk335_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 12.82/4.18  cnf(i_0_615, 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))).
% 12.82/4.18  cnf(i_0_1651, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk238_2(X1,X4),esk240_2(X1,X4))|~relation(X4)|~in(X3,esk243_3(X1,X4,X2))|~in(X2,esk241_2(X1,X4)))).
% 12.82/4.18  cnf(i_0_1846, plain, (esk260_3(X1,X2,X3)=esk262_3(X1,X2,X3)|empty_carrier(X1)|element(esk270_4(X1,X2,X3,X4),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1877, plain, (esk263_3(X1,X2,X3)=esk261_3(X1,X2,X3)|empty_carrier(X1)|in(esk268_4(X1,X2,X3,X4),powerset(X3))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1874, plain, (esk263_3(X1,X2,X3)=esk261_3(X1,X2,X3)|empty_carrier(X1)|element(esk270_4(X1,X2,X3,X4),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1842, plain, (esk265_3(X1,X2,X3)=esk262_3(X1,X2,X3)|empty_carrier(X1)|in(esk268_4(X1,X2,X3,X4),powerset(X3))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_232, plain, (X1=relation_image(X2,X3)|in(unordered_pair(unordered_pair(esk22_3(X2,X3,X1),esk23_3(X2,X3,X1)),unordered_pair(esk23_3(X2,X3,X1),esk23_3(X2,X3,X1))),X2)|in(esk22_3(X2,X3,X1),X1)|~relation(X2))).
% 12.82/4.18  cnf(i_0_2213, plain, (subset_complement(the_carrier(X1),esk335_2(X1,X2))=esk337_2(X1,X2)|esk340_4(X1,X2,X3,X4)=X4|in(X3,esk338_2(X1,X2))|~one_sorted_str(X1)|~element(esk335_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 12.82/4.18  cnf(i_0_2129, plain, (subset_complement(the_carrier(X1),esk317_2(X1,X2))=esk318_2(X1,X2)|in(esk321_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk317_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk320_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2232, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk348_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk352_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|esk343_2(X3,X4)!=esk342_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)))).
% 12.82/4.18  cnf(i_0_241, plain, (X1=relation_inverse_image(X2,X3)|in(unordered_pair(unordered_pair(esk25_3(X2,X3,X1),esk25_3(X2,X3,X1)),unordered_pair(esk25_3(X2,X3,X1),esk26_3(X2,X3,X1))),X2)|in(esk25_3(X2,X3,X1),X1)|~relation(X2))).
% 12.82/4.18  cnf(i_0_1839, plain, (esk265_3(X1,X2,X3)=esk262_3(X1,X2,X3)|empty_carrier(X1)|element(esk270_4(X1,X2,X3,X4),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2514, lemma, (relstr_set_smaller(X1,X2,esk421_3(X1,X3,X2))|empty_carrier(X1)|element(esk420_3(X1,X3,X2),the_carrier(X1))|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X2)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(X3))|~in(X4,X3)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1972, plain, (X1=esk293_3(X2,X3,X4)|X4=empty_set|epred2_3(esk289_1(X2),esk288_1(X2),esk287_1(X2))|~subset(esk293_3(X2,X3,X4),X1)|~ordinal(X2)|~element(X4,powerset(powerset(esk292_2(X2,X3))))|~in(esk292_2(X2,X3),omega)|~in(X3,esk290_1(X2))|~in(X1,X4))).
% 12.82/4.18  cnf(i_0_290, plain, (X1=boole_lattice(X2)|apply_binary(the_L_join(X1),esk35_2(X2,X1),esk36_2(X2,X1))!=subset_union2(X2,esk35_2(X2,X1),esk36_2(X2,X1))|apply_binary(the_L_meet(X1),esk35_2(X2,X1),esk36_2(X2,X1))!=subset_intersection2(X2,esk35_2(X2,X1),esk36_2(X2,X1))|powerset(X2)!=the_carrier(X1)|~strict_latt_str(X1)|~latt_str(X1))).
% 12.82/4.18  cnf(i_0_2823, lemma, (apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk442_2(X1,X2),X2)|in(esk445_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2119, plain, (subset_complement(the_carrier(X1),esk317_2(X1,X2))=esk319_2(X1,X2)|in(esk321_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk317_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk320_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2516, lemma, (empty_carrier(X1)|element(esk421_3(X1,X2,X3),the_carrier(X1))|element(esk420_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2567, lemma, (esk430_3(X1,X2,X3)=X3|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk424_2(X1,X2),esk426_2(X1,X2))|~relation(X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1797, plain, (unordered_pair(unordered_pair(esk248_2(X1,X2),esk248_2(X1,X2)),unordered_pair(esk248_2(X1,X2),esk249_2(X1,X2)))=esk246_2(X1,X2)|esk255_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2521, lemma, (empty_carrier(X1)|in(esk421_3(X1,X2,X3),X2)|in(esk418_3(X1,X2,X3),X3)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2518, lemma, (subset(esk419_3(X1,X2,X3),X3)|empty_carrier(X1)|in(esk421_3(X1,X2,X3),X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2841, lemma, (X1=esk452_2(X2,X3)|X3=empty_set|X4=empty_set|in(esk449_2(X5,X4),X4)|~subset(esk452_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X4,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk448_0)|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.18  cnf(i_0_1743, plain, (unordered_pair(unordered_pair(esk251_2(X1,X2),esk251_2(X1,X2)),unordered_pair(esk251_2(X1,X2),esk252_2(X1,X2)))=esk247_2(X1,X2)|esk255_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1562, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk220_2(X1,X2)|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk219_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)),esk222_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1548, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk221_2(X1,X2)|in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk219_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)),esk222_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2477, lemma, (esk406_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk403_3(X1,X2,X3))|~one_sorted_str(X1)|~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)))).
% 12.82/4.18  cnf(i_0_2840, lemma, (X1=esk449_2(X2,X3)|X4=empty_set|X3=empty_set|in(esk452_2(X5,X4),X4)|~subset(esk449_2(X2,X3),X1)|~ordinal(X2)|~ordinal(X5)|~element(X3,powerset(powerset(X2)))|~element(X4,powerset(powerset(X5)))|~in(X2,omega)|~in(X2,esk448_0)|~in(X5,omega)|~in(X1,X3))).
% 12.82/4.18  cnf(i_0_2100, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk314_2(X2,X3))|in(esk312_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))).
% 12.82/4.18  cnf(i_0_2800, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|esk446_3(X1,X2,X3)=esk445_2(X1,X2)|relation_dom(esk447_2(X1,X2))=X2|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2085, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk314_2(X2,X3))|in(esk313_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))).
% 12.82/4.18  cnf(i_0_2125, plain, (subset_complement(the_carrier(X1),esk317_2(X1,X2))=esk318_2(X1,X2)|in(X3,esk320_2(X1,X2))|subset_complement(the_carrier(X1),esk322_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk317_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2115, plain, (subset_complement(the_carrier(X1),esk317_2(X1,X2))=esk319_2(X1,X2)|in(X3,esk320_2(X1,X2))|subset_complement(the_carrier(X1),esk322_4(X1,X2,X3,X4))!=X3|~one_sorted_str(X1)|~element(esk317_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_1498, lemma, (esk210_2(X1,X2)=esk207_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)),esk212_2(X1,X2))|~in(X4,esk213_4(X1,X2,X5,X3)))).
% 12.82/4.18  cnf(i_0_1466, lemma, (esk211_2(X1,X2)=esk207_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)),esk212_2(X1,X2))|~in(X4,esk213_4(X1,X2,X5,X3)))).
% 12.82/4.18  cnf(i_0_1870, plain, (empty_carrier(X1)|element(esk264_3(X1,X2,X3),the_carrier(X1))|in(esk268_4(X1,X2,X3,X4),powerset(X3))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2784, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|esk446_3(X1,X2,X3)=esk445_2(X1,X2)|relation_dom(esk447_2(X1,X2))=X2|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2202, plain, (subset_complement(the_carrier(X1),esk332_4(X1,X2,X3,X4))=esk333_4(X1,X2,X3,X4)|esk323_2(X1,X2)=esk324_2(X1,X2)|~one_sorted_str(X1)|~element(esk332_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2170, plain, (subset_complement(the_carrier(X1),esk332_4(X1,X2,X3,X4))=esk333_4(X1,X2,X3,X4)|esk323_2(X1,X2)=esk325_2(X1,X2)|~one_sorted_str(X1)|~element(esk332_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2490, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk411_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)))).
% 12.82/4.18  cnf(i_0_1574, lemma, (element(esk228_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk227_2(X1,X2))|esk225_2(X1,X2)!=esk226_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_1835, plain, (empty_carrier(X1)|element(esk266_3(X1,X2,X3),the_carrier(X1))|in(esk268_4(X1,X2,X3,X4),powerset(X3))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2524, lemma, (in(apply(esk429_2(X1,X2),X3),esk430_3(X1,X2,X3))|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1626, lemma, (X1=esk234_2(X2,X3)|X3=empty_set|X4=empty_set|in(esk231_2(X5,X4),X4)|~epred1_0|~subset(esk234_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X4,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk230_0)|~in(X2,omega)|~in(X1,X3))).
% 12.82/4.18  cnf(i_0_2744, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2299, plain, (subset_complement(the_carrier(X1),esk350_4(X1,X2,X3,X4))=esk351_4(X1,X2,X3,X4)|esk341_2(X1,X2)=esk342_2(X1,X2)|~one_sorted_str(X1)|~element(esk350_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2267, plain, (subset_complement(the_carrier(X1),esk350_4(X1,X2,X3,X4))=esk351_4(X1,X2,X3,X4)|esk341_2(X1,X2)=esk343_2(X1,X2)|~one_sorted_str(X1)|~element(esk350_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1625, lemma, (X1=esk231_2(X2,X3)|X4=empty_set|X3=empty_set|in(esk234_2(X5,X4),X4)|~epred1_0|~subset(esk231_2(X2,X3),X1)|~ordinal(X2)|~ordinal(X5)|~element(X3,powerset(powerset(X2)))|~element(X4,powerset(powerset(X5)))|~in(X2,omega)|~in(X2,esk230_0)|~in(X5,omega)|~in(X1,X3))).
% 12.82/4.18  cnf(i_0_1858, plain, (relstr_set_smaller(X1,esk269_4(X1,X2,X3,X4),esk270_4(X1,X2,X3,X4))|empty_carrier(X1)|in(esk264_3(X1,X2,X3),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1823, plain, (relstr_set_smaller(X1,esk269_4(X1,X2,X3,X4),esk270_4(X1,X2,X3,X4))|empty_carrier(X1)|in(esk266_3(X1,X2,X3),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2728, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2283, plain, (subset_complement(the_carrier(X1),esk350_4(X1,X2,X3,X4))=esk351_4(X1,X2,X3,X4)|in(esk344_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk350_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2251, plain, (subset_complement(the_carrier(X1),esk350_4(X1,X2,X3,X4))=esk351_4(X1,X2,X3,X4)|in(esk346_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk350_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2434, lemma, (in(esk386_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)),esk382_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_2439, lemma, (unordered_pair(unordered_pair(esk383_4(X1,X2,X3,X4),esk383_4(X1,X2,X3,X4)),unordered_pair(esk383_4(X1,X2,X3,X4),esk384_4(X1,X2,X3,X4)))=X4|empty(X1)|~relation(X2)|~in(X4,esk382_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1855, plain, (esk268_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk263_3(X1,X2,X3),esk264_3(X1,X2,X3))|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1820, plain, (esk268_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk265_3(X1,X2,X3),esk266_3(X1,X2,X3))|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1854, plain, (esk269_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk263_3(X1,X2,X3),esk264_3(X1,X2,X3))|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1819, plain, (esk269_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk265_3(X1,X2,X3),esk266_3(X1,X2,X3))|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1554, lemma, (X1=subset_complement(the_carrier(X2),X3)|in(esk219_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)),esk222_2(X2,X4)))).
% 12.82/4.18  cnf(i_0_2638, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(apply(esk429_2(X1,X2),X4),esk430_3(X1,X2,X4))|~relation(X2)|~in(X3,esk427_2(X1,X2))|~in(X4,X1))).
% 12.82/4.18  cnf(i_0_2615, lemma, (esk430_3(X1,X2,X3)=X3|in(esk423_2(X1,X2),esk425_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2804, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|relation_dom(esk447_2(X1,X2))=X2|element(esk446_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2561, lemma, (esk430_3(X1,X2,X3)=X3|in(esk424_2(X1,X2),esk426_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2767, lemma, (apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk446_3(X1,X2,X4)=esk445_2(X1,X2)|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2584, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(apply(esk429_2(X1,X2),X4),esk430_3(X1,X2,X4))|~relation(X2)|~in(X3,esk427_2(X1,X2))|~in(X4,X1))).
% 12.82/4.18  cnf(i_0_1879, plain, (esk260_3(X1,X2,X3)=esk261_3(X1,X2,X3)|relstr_set_smaller(X1,esk269_4(X1,X2,X3,X4),esk270_4(X1,X2,X3,X4))|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1844, plain, (esk260_3(X1,X2,X3)=esk262_3(X1,X2,X3)|relstr_set_smaller(X1,esk269_4(X1,X2,X3,X4),esk270_4(X1,X2,X3,X4))|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1872, plain, (esk263_3(X1,X2,X3)=esk261_3(X1,X2,X3)|relstr_set_smaller(X1,esk269_4(X1,X2,X3,X4),esk270_4(X1,X2,X3,X4))|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1837, plain, (esk265_3(X1,X2,X3)=esk262_3(X1,X2,X3)|relstr_set_smaller(X1,esk269_4(X1,X2,X3,X4),esk270_4(X1,X2,X3,X4))|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2788, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|relation_dom(esk447_2(X1,X2))=X2|element(esk446_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2126, plain, (subset_complement(the_carrier(X1),esk317_2(X1,X2))=esk318_2(X1,X2)|esk322_4(X1,X2,X3,X4)=X4|in(X3,esk320_2(X1,X2))|~one_sorted_str(X1)|~element(esk317_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2116, plain, (subset_complement(the_carrier(X1),esk317_2(X1,X2))=esk319_2(X1,X2)|esk322_4(X1,X2,X3,X4)=X4|in(X3,esk320_2(X1,X2))|~one_sorted_str(X1)|~element(esk317_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2530, lemma, (in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(apply(esk429_2(X1,X2),X4),esk430_3(X1,X2,X4))|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(X3,esk427_2(X1,X2))|~in(X4,X1))).
% 12.82/4.18  cnf(i_0_177, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk4_3(X2,X3,X1),esk4_3(X2,X3,X1)),unordered_pair(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1))),X1)|in(esk4_3(X2,X3,X1),X3)|~relation(X1)|~relation(X2))).
% 12.82/4.18  cnf(i_0_2511, lemma, (relstr_set_smaller(X1,X2,esk421_3(X1,X3,X2))|empty_carrier(X1)|in(esk420_3(X1,X3,X2),X3)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X2)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(X3))|~in(X4,X3)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2522, lemma, (empty_carrier(X1)|element(esk421_3(X1,X2,X3),the_carrier(X1))|in(esk418_3(X1,X2,X3),X3)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_197, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk12_3(X2,X3,X1),esk11_3(X2,X3,X1)),unordered_pair(esk11_3(X2,X3,X1),esk11_3(X2,X3,X1))),X1)|in(esk12_3(X2,X3,X1),X2)|~relation(X1)|~relation(X3))).
% 12.82/4.18  cnf(i_0_2771, lemma, (apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk446_3(X1,X2,X4),powerset(the_carrier(X1)))|esk443_2(X1,X2)!=esk444_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2128, plain, (subset_complement(the_carrier(X1),esk317_2(X1,X2))=esk318_2(X1,X2)|subset_complement(the_carrier(X1),esk321_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk321_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk317_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk320_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2296, plain, (esk341_2(X1,X2)=esk342_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk348_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk352_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)))).
% 12.82/4.18  cnf(i_0_2513, lemma, (empty_carrier(X1)|element(esk421_3(X1,X2,X3),the_carrier(X1))|in(esk420_3(X1,X2,X3),X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2515, lemma, (empty_carrier(X1)|element(esk420_3(X1,X2,X3),the_carrier(X1))|in(esk421_3(X1,X2,X3),X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2519, lemma, (subset(esk419_3(X1,X2,X3),X3)|empty_carrier(X1)|element(esk421_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_559, 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))).
% 12.82/4.18  cnf(i_0_2118, plain, (subset_complement(the_carrier(X1),esk317_2(X1,X2))=esk319_2(X1,X2)|subset_complement(the_carrier(X1),esk321_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk321_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk317_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk320_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2225, plain, (subset_complement(the_carrier(X1),esk335_2(X1,X2))=esk336_2(X1,X2)|subset_complement(the_carrier(X1),esk339_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk339_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk335_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk338_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2264, plain, (esk341_2(X1,X2)=esk343_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk348_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk352_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)))).
% 12.82/4.18  cnf(i_0_1795, plain, (unordered_pair(unordered_pair(esk248_2(X1,X2),esk248_2(X1,X2)),unordered_pair(esk248_2(X1,X2),esk249_2(X1,X2)))=esk246_2(X1,X2)|empty(X1)|in(esk256_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1865, plain, (relstr_set_smaller(X1,esk269_4(X1,X2,X3,X4),esk270_4(X1,X2,X3,X4))|empty_carrier(X1)|element(esk264_3(X1,X2,X3),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1830, plain, (relstr_set_smaller(X1,esk269_4(X1,X2,X3,X4),esk270_4(X1,X2,X3,X4))|empty_carrier(X1)|element(esk266_3(X1,X2,X3),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1440, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk212_2(X3,X4))|esk209_2(X3,X4)!=esk208_2(X3,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk214_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 12.82/4.18  cnf(i_0_1741, plain, (unordered_pair(unordered_pair(esk251_2(X1,X2),esk251_2(X1,X2)),unordered_pair(esk251_2(X1,X2),esk252_2(X1,X2)))=esk247_2(X1,X2)|empty(X1)|in(esk256_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2215, plain, (subset_complement(the_carrier(X1),esk335_2(X1,X2))=esk337_2(X1,X2)|subset_complement(the_carrier(X1),esk339_3(X1,X2,X3))=X3|~one_sorted_str(X1)|~element(esk339_3(X1,X2,X3),powerset(the_carrier(X1)))|~element(esk335_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,esk338_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2811, lemma, (apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk442_2(X1,X2),X2)|subset_complement(the_carrier(X1),esk446_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2656, lemma, (in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(apply(esk429_2(X1,X2),X4),esk430_3(X1,X2,X4))|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(X3,esk427_2(X1,X2))|~in(X4,X1))).
% 12.82/4.18  cnf(i_0_1670, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk237_2(X1,X2),X3),unordered_pair(esk237_2(X1,X2),esk237_2(X1,X2))),X2)|in(X4,esk243_3(X1,X2,X4))|~relation(X2)|~in(X3,esk239_2(X1,X2))|~in(X4,esk241_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1586, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk227_2(X3,X4))|in(esk224_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk228_4(X3,X4,X1,X2))!=X2|~one_sorted_str(X3)|~element(X4,powerset(powerset(the_carrier(X3))))|~in(X1,X4))).
% 12.82/4.18  cnf(i_0_2839, lemma, (X1=esk452_2(X2,X3)|X4=esk449_2(X5,X6)|X3=empty_set|X6=empty_set|~subset(esk449_2(X5,X6),X4)|~subset(esk452_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X6,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk448_0)|~in(X2,omega)|~in(X4,X6)|~in(X1,X3))).
% 12.82/4.18  cnf(i_0_1646, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk238_2(X1,X2),X3),unordered_pair(esk238_2(X1,X2),esk238_2(X1,X2))),X2)|in(X4,esk243_3(X1,X2,X4))|~relation(X2)|~in(X3,esk240_2(X1,X2))|~in(X4,esk241_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2279, plain, (subset_complement(the_carrier(X1),esk344_2(X1,X2))=esk345_2(X1,X2)|in(esk349_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(esk344_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2247, plain, (subset_complement(the_carrier(X1),esk346_2(X1,X2))=esk347_2(X1,X2)|in(esk349_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(esk346_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2485, lemma, (element(esk410_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)),esk407_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)))).
% 12.82/4.18  cnf(i_0_1672, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk237_2(X1,X2),X3),unordered_pair(esk237_2(X1,X2),esk237_2(X1,X2))),X2)|in(esk242_3(X1,X2,X4),X1)|~relation(X2)|~in(X3,esk239_2(X1,X2))|~in(X4,esk241_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_624, 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))).
% 12.82/4.18  cnf(i_0_1852, plain, (relstr_set_smaller(X1,esk263_3(X1,X2,X3),esk264_3(X1,X2,X3))|empty_carrier(X1)|in(esk270_4(X1,X2,X3,X4),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1817, plain, (relstr_set_smaller(X1,esk265_3(X1,X2,X3),esk266_3(X1,X2,X3))|empty_carrier(X1)|in(esk270_4(X1,X2,X3,X4),X2)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1648, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk238_2(X1,X2),X3),unordered_pair(esk238_2(X1,X2),esk238_2(X1,X2))),X2)|in(esk242_3(X1,X2,X4),X1)|~relation(X2)|~in(X3,esk240_2(X1,X2))|~in(X4,esk241_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1808, plain, (empty_carrier(X1)|in(X2,esk267_3(X1,X3,X4))|esk262_3(X1,X3,X4)!=esk261_3(X1,X3,X4)|~relstr_set_smaller(X1,X2,X5)|~transitive_relstr(X1)|~finite(X4)|~element(X3,powerset(the_carrier(X1)))|~element(X4,powerset(X3))|~in(X2,powerset(X4))|~in(X5,X3)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2041, plain, (element(esk299_2(X1,X2),powerset(the_carrier(X1)))|in(X3,esk301_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))))).
% 12.82/4.18  cnf(i_0_2233, plain, (esk352_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)),esk348_3(X1,X2,X3))|esk343_2(X1,X2)!=esk342_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)))).
% 12.82/4.18  cnf(i_0_2006, plain, (element(esk300_2(X1,X2),powerset(the_carrier(X1)))|in(X3,esk301_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))))).
% 12.82/4.18  cnf(i_0_1632, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk235_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))).
% 12.82/4.18  cnf(i_0_2509, lemma, (relstr_set_smaller(X1,esk419_3(X1,X2,X3),esk420_3(X1,X2,X3))|empty_carrier(X1)|in(esk421_3(X1,X2,X3),X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1624, lemma, (X1=esk234_2(X2,X3)|X4=esk231_2(X5,X6)|X3=empty_set|X6=empty_set|~epred1_0|~subset(esk231_2(X5,X6),X4)|~subset(esk234_2(X2,X3),X1)|~ordinal(X5)|~ordinal(X2)|~element(X6,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~in(X5,omega)|~in(X5,esk230_0)|~in(X2,omega)|~in(X4,X6)|~in(X1,X3))).
% 12.82/4.18  cnf(i_0_1474, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk207_2(X1,X4),X1)|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk212_2(X1,X4))|~in(X3,esk213_4(X1,X4,X5,X2)))).
% 12.82/4.18  cnf(i_0_1761, plain, (esk255_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk249_2(X1,X2),X5),unordered_pair(esk249_2(X1,X2),esk249_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3))|~in(X5,esk250_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2179, plain, (subset_complement(the_carrier(X1),esk326_2(X1,X2))=esk327_2(X1,X2)|in(esk332_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk326_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2147, plain, (subset_complement(the_carrier(X1),esk328_2(X1,X2))=esk329_2(X1,X2)|in(esk332_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk328_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2736, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk440_3(X1,X2,X3)=esk439_2(X1,X2)|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_1441, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk212_2(X3,X4))|in(esk214_5(X3,X4,X1,X2,X1),X1)|esk209_2(X3,X4)!=esk208_2(X3,X4)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 12.82/4.18  cnf(i_0_1707, plain, (esk255_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk252_2(X1,X2),X5),unordered_pair(esk252_2(X1,X2),esk252_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3))|~in(X5,esk253_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2703, lemma, (apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk440_3(X1,X2,X4)=esk439_2(X1,X2)|esk437_2(X1,X2)!=esk438_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)))).
% 12.82/4.18  cnf(i_0_2711, lemma, (apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk437_2(X1,X2)!=esk438_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)))).
% 12.82/4.18  cnf(i_0_2632, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|in(apply(esk429_2(X1,X2),X3),esk430_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1497, lemma, (esk210_2(X1,X2)=esk207_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2))|in(esk214_5(X1,X2,X3,X4,X3),X3)|~relation(X2)|~in(X4,X3)|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2578, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|in(apply(esk429_2(X1,X2),X3),esk430_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1465, lemma, (esk211_2(X1,X2)=esk207_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2))|in(esk214_5(X1,X2,X3,X4,X3),X3)|~relation(X2)|~in(X4,X3)|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2707, lemma, (apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk440_3(X1,X2,X4),powerset(the_carrier(X1)))|esk437_2(X1,X2)!=esk438_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)))).
% 12.82/4.18  cnf(i_0_2650, lemma, (in(apply(esk429_2(X1,X2),X3),esk430_3(X1,X2,X3))|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2224, plain, (subset_complement(the_carrier(X1),esk335_2(X1,X2))=esk336_2(X1,X2)|element(esk340_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk338_2(X1,X2))|~one_sorted_str(X1)|~element(esk335_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 12.82/4.18  cnf(i_0_569, 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)))).
% 12.82/4.18  cnf(i_0_1970, plain, (epred2_3(esk289_1(X1),esk288_1(X1),esk287_1(X1))|element(esk294_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk290_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 12.82/4.18  cnf(i_0_1552, lemma, (esk223_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk222_2(X1,X2))|in(esk219_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)))).
% 12.82/4.18  cnf(i_0_2214, plain, (subset_complement(the_carrier(X1),esk335_2(X1,X2))=esk337_2(X1,X2)|element(esk340_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk338_2(X1,X2))|~one_sorted_str(X1)|~element(esk335_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,X2))).
% 12.82/4.18  cnf(i_0_2720, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk440_3(X1,X2,X3)=esk439_2(X1,X2)|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2135, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk330_3(X3,X4,X5))|subset_complement(the_carrier(X3),esk334_6(X3,X4,X5,unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X1,X2))!=X2|esk325_2(X3,X4)!=esk324_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)))).
% 12.82/4.18  cnf(i_0_2508, lemma, (relstr_set_smaller(X1,esk419_3(X1,X2,X3),esk420_3(X1,X2,X3))|relstr_set_smaller(X1,X3,esk421_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1633, 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)),esk235_3(X5,X4,X1)))).
% 12.82/4.18  cnf(i_0_1967, plain, (epred2_3(esk289_1(X1),esk288_1(X1),esk287_1(X1))|subset(X2,esk295_4(X1,X3,X3,X2))|in(X3,esk290_1(X1))|~ordinal(X3)|~ordinal(X1)|~in(X3,set_union2(X1,unordered_pair(X1,X1)))|~in(X2,esk294_3(X1,X3,X3)))).
% 12.82/4.18  cnf(i_0_2197, plain, (unordered_pair(unordered_pair(esk326_2(X1,X2),esk326_2(X1,X2)),unordered_pair(esk326_2(X1,X2),esk327_2(X1,X2)))=esk324_2(X1,X2)|esk331_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1539, lemma, (element(esk223_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk222_2(X1,X2))|esk220_2(X1,X2)!=esk221_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2186, plain, (subset_complement(the_carrier(X1),esk332_4(X1,X2,X3,X4))=esk333_4(X1,X2,X3,X4)|in(esk326_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk332_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2740, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk440_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2510, lemma, (relstr_set_smaller(X1,esk419_3(X1,X2,X3),esk420_3(X1,X2,X3))|empty_carrier(X1)|element(esk421_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2165, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk325_2(X1,X2)|esk331_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2724, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|relation_dom(esk441_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk440_3(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk436_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1)))))).
% 12.82/4.18  cnf(i_0_2154, plain, (subset_complement(the_carrier(X1),esk332_4(X1,X2,X3,X4))=esk333_4(X1,X2,X3,X4)|in(esk328_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk332_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2095, plain, (set_difference(esk312_2(X1,X2),unordered_pair(X1,X1))=esk310_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk314_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))).
% 12.82/4.18  cnf(i_0_2127, plain, (subset_complement(the_carrier(X1),esk317_2(X1,X2))=esk318_2(X1,X2)|element(esk322_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk320_2(X1,X2))|~one_sorted_str(X1)|~element(esk317_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2080, plain, (set_difference(esk313_2(X1,X2),unordered_pair(X1,X1))=esk311_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk314_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))).
% 12.82/4.18  cnf(i_0_1856, plain, (relstr_set_smaller(X1,esk263_3(X1,X2,X3),esk264_3(X1,X2,X3))|empty_carrier(X1)|in(esk268_4(X1,X2,X3,X4),powerset(X3))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2294, plain, (unordered_pair(unordered_pair(esk344_2(X1,X2),esk344_2(X1,X2)),unordered_pair(esk344_2(X1,X2),esk345_2(X1,X2)))=esk342_2(X1,X2)|esk349_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2117, plain, (subset_complement(the_carrier(X1),esk317_2(X1,X2))=esk319_2(X1,X2)|element(esk322_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk320_2(X1,X2))|~one_sorted_str(X1)|~element(esk317_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2182, plain, (subset_complement(the_carrier(X1),esk326_2(X1,X2))=esk327_2(X1,X2)|in(esk331_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(esk326_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1691, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk254_3(X3,X4,X5))|esk247_2(X3,X4)!=esk246_2(X3,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk259_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))).
% 12.82/4.18  cnf(i_0_2262, plain, (unordered_pair(unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2)),unordered_pair(esk346_2(X1,X2),esk347_2(X1,X2)))=esk343_2(X1,X2)|esk349_4(X1,X2,X3,X4)=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1821, plain, (relstr_set_smaller(X1,esk265_3(X1,X2,X3),esk266_3(X1,X2,X3))|empty_carrier(X1)|in(esk268_4(X1,X2,X3,X4),powerset(X3))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1853, plain, (relstr_set_smaller(X1,esk263_3(X1,X2,X3),esk264_3(X1,X2,X3))|empty_carrier(X1)|element(esk270_4(X1,X2,X3,X4),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1818, plain, (relstr_set_smaller(X1,esk265_3(X1,X2,X3),esk266_3(X1,X2,X3))|empty_carrier(X1)|element(esk270_4(X1,X2,X3,X4),the_carrier(X1))|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2506, lemma, (empty_carrier(X1)|in(esk421_3(X1,X2,X3),X2)|~relstr_set_smaller(X1,set_union2(esk419_3(X1,X2,X3),unordered_pair(esk418_3(X1,X2,X3),esk418_3(X1,X2,X3))),X4)|~relstr_set_smaller(X1,empty_set,X5)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X5,X2)|~in(X4,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1671, plain, (esk242_3(X1,X2,X3)=esk243_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk237_2(X1,X2),X4),unordered_pair(esk237_2(X1,X2),esk237_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk239_2(X1,X2))|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2150, plain, (subset_complement(the_carrier(X1),esk328_2(X1,X2))=esk329_2(X1,X2)|in(esk331_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(esk328_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2815, lemma, (apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk446_3(X1,X2,X4)=esk445_2(X1,X2)|in(esk442_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2280, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk348_3(X3,X4,X5))|in(esk344_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk352_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)))).
% 12.82/4.18  cnf(i_0_1647, plain, (esk242_3(X1,X2,X3)=esk243_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk238_2(X1,X2),X4),unordered_pair(esk238_2(X1,X2),esk238_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk240_2(X1,X2))|~in(X3,esk241_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1496, lemma, (esk210_2(X1,X2)=esk207_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk214_5(X1,X2,X3,X4,X3))),X2)|~in(X3,X1)|~in(X4,X3))).
% 12.82/4.18  cnf(i_0_1464, lemma, (esk211_2(X1,X2)=esk207_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk214_5(X1,X2,X3,X4,X3))),X2)|~in(X3,X1)|~in(X4,X3))).
% 12.82/4.18  cnf(i_0_2609, lemma, (esk430_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X4),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X4,esk425_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2819, lemma, (apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk446_3(X1,X2,X4),powerset(the_carrier(X1)))|in(esk442_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2248, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk348_3(X3,X4,X5))|in(esk346_2(X3,X4),X4)|subset_complement(the_carrier(X3),esk352_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)))).
% 12.82/4.18  cnf(i_0_2555, lemma, (esk430_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X4),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X4,esk426_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2435, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk384_4(X1,X2,X3,X4),X5),unordered_pair(esk384_4(X1,X2,X3,X4),esk384_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk385_4(X1,X2,X3,X4))|~in(X4,esk382_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1485, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk208_2(X1,X2),X3),unordered_pair(esk208_2(X1,X2),esk208_2(X1,X2))),X2)|in(X4,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk212_2(X1,X2))|~in(X3,esk210_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1453, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk209_2(X1,X2),X3),unordered_pair(esk209_2(X1,X2),esk209_2(X1,X2))),X2)|in(X4,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk212_2(X1,X2))|~in(X3,esk211_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_570, 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))).
% 12.82/4.18  cnf(i_0_2492, lemma, (unordered_pair(unordered_pair(esk412_4(X1,X2,X3,X4),esk412_4(X1,X2,X3,X4)),unordered_pair(esk412_4(X1,X2,X3,X4),esk413_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk411_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2747, lemma, (apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|subset_complement(the_carrier(X1),esk440_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)))).
% 12.82/4.18  cnf(i_0_1561, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk220_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk219_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)),esk222_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2478, lemma, (element(esk406_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)),esk403_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)))).
% 12.82/4.18  cnf(i_0_1794, plain, (unordered_pair(unordered_pair(esk248_2(X1,X2),esk248_2(X1,X2)),unordered_pair(esk248_2(X1,X2),esk249_2(X1,X2)))=esk246_2(X1,X2)|esk258_4(X1,X2,X3,X4)=esk256_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1547, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk221_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk219_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)),esk222_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2505, lemma, (relstr_set_smaller(X1,X2,esk421_3(X1,X3,X2))|empty_carrier(X1)|~relstr_set_smaller(X1,set_union2(esk419_3(X1,X3,X2),unordered_pair(esk418_3(X1,X3,X2),esk418_3(X1,X3,X2))),X4)|~relstr_set_smaller(X1,empty_set,X5)|~transitive_relstr(X1)|~finite(X2)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(X3))|~in(X5,X3)|~in(X4,X3)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2507, lemma, (empty_carrier(X1)|element(esk421_3(X1,X2,X3),the_carrier(X1))|~relstr_set_smaller(X1,set_union2(esk419_3(X1,X2,X3),unordered_pair(esk418_3(X1,X2,X3),esk418_3(X1,X2,X3))),X4)|~relstr_set_smaller(X1,empty_set,X5)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X5,X2)|~in(X4,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_178, plain, (X1=relation_dom_restriction(X2,X3)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk4_3(X2,X3,X1),esk4_3(X2,X3,X1)),unordered_pair(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk4_3(X2,X3,X1),esk4_3(X2,X3,X1)),unordered_pair(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1))),X2)|~in(esk4_3(X2,X3,X1),X3))).
% 12.82/4.18  cnf(i_0_1740, plain, (unordered_pair(unordered_pair(esk251_2(X1,X2),esk251_2(X1,X2)),unordered_pair(esk251_2(X1,X2),esk252_2(X1,X2)))=esk247_2(X1,X2)|esk258_4(X1,X2,X3,X4)=esk256_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1596, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk225_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk224_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)),esk227_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1582, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk226_2(X1,X2)|X3=subset_complement(the_carrier(X1),X4)|~one_sorted_str(X1)|~element(esk224_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)),esk227_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1588, lemma, (element(esk228_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk227_2(X1,X2))|in(esk224_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_198, plain, (X1=relation_rng_restriction(X2,X3)|~relation(X1)|~relation(X3)|~in(unordered_pair(unordered_pair(esk12_3(X2,X3,X1),esk11_3(X2,X3,X1)),unordered_pair(esk11_3(X2,X3,X1),esk11_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk12_3(X2,X3,X1),esk11_3(X2,X3,X1)),unordered_pair(esk11_3(X2,X3,X1),esk11_3(X2,X3,X1))),X3)|~in(esk12_3(X2,X3,X1),X2))).
% 12.82/4.18  cnf(i_0_1490, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk208_2(X1,X4),esk210_2(X1,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk212_2(X1,X4))|~in(X3,esk213_4(X1,X4,X5,X2)))).
% 12.82/4.18  cnf(i_0_2759, lemma, (apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk436_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk439_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)))).
% 12.82/4.18  cnf(i_0_1551, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk222_2(X3,X4))|in(esk219_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk223_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)))).
% 12.82/4.18  cnf(i_0_1942, plain, (unordered_pair(unordered_pair(esk279_1(X1),esk279_1(X1)),unordered_pair(esk279_1(X1),esk280_1(X1)))=esk277_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk283_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 12.82/4.18  cnf(i_0_2481, lemma, (unordered_pair(unordered_pair(esk404_4(X1,X2,X3,X4),esk404_4(X1,X2,X3,X4)),unordered_pair(esk404_4(X1,X2,X3,X4),esk405_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk403_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1458, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk209_2(X1,X4),esk211_2(X1,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk212_2(X1,X4))|~in(X3,esk213_4(X1,X4,X5,X2)))).
% 12.82/4.18  cnf(i_0_2488, lemma, (unordered_pair(unordered_pair(esk408_4(X1,X2,X3,X4),esk408_4(X1,X2,X3,X4)),unordered_pair(esk408_4(X1,X2,X3,X4),esk409_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk407_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1857, plain, (empty_carrier(X1)|in(X2,esk267_3(X1,X3,X4))|in(esk264_3(X1,X3,X4),X3)|~relstr_set_smaller(X1,X2,X5)|~transitive_relstr(X1)|~finite(X4)|~element(X3,powerset(the_carrier(X1)))|~element(X4,powerset(X3))|~in(X2,powerset(X4))|~in(X5,X3)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1822, plain, (empty_carrier(X1)|in(X2,esk267_3(X1,X3,X4))|in(esk266_3(X1,X3,X4),X3)|~relstr_set_smaller(X1,X2,X5)|~transitive_relstr(X1)|~finite(X4)|~element(X3,powerset(the_carrier(X1)))|~element(X4,powerset(X3))|~in(X2,powerset(X4))|~in(X5,X3)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1759, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk249_2(X1,X2),X3),unordered_pair(esk249_2(X1,X2),esk249_2(X1,X2))),X2)|in(esk256_4(X1,X2,X4,X5),X1)|~relation(X2)|~in(X5,esk254_3(X1,X2,X4))|~in(X3,esk250_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1705, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk252_2(X1,X2),X3),unordered_pair(esk252_2(X1,X2),esk252_2(X1,X2))),X2)|in(esk256_4(X1,X2,X4,X5),X1)|~relation(X2)|~in(X5,esk254_3(X1,X2,X4))|~in(X3,esk253_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2199, plain, (esk323_2(X1,X2)=esk324_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk330_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk334_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)))).
% 12.82/4.18  cnf(i_0_1798, plain, (unordered_pair(unordered_pair(esk248_2(X1,X2),esk248_2(X1,X2)),unordered_pair(esk248_2(X1,X2),esk249_2(X1,X2)))=esk246_2(X1,X2)|empty(X1)|in(esk255_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1744, plain, (unordered_pair(unordered_pair(esk251_2(X1,X2),esk251_2(X1,X2)),unordered_pair(esk251_2(X1,X2),esk252_2(X1,X2)))=esk247_2(X1,X2)|empty(X1)|in(esk255_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2292, plain, (unordered_pair(unordered_pair(esk344_2(X1,X2),esk344_2(X1,X2)),unordered_pair(esk344_2(X1,X2),esk345_2(X1,X2)))=esk342_2(X1,X2)|in(esk350_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2260, plain, (unordered_pair(unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2)),unordered_pair(esk346_2(X1,X2),esk347_2(X1,X2)))=esk343_2(X1,X2)|in(esk350_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1594, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk225_2(X1,X2)|esk228_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk227_2(X1,X2))|~one_sorted_str(X1)|~element(esk224_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2167, plain, (esk323_2(X1,X2)=esk325_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk330_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk334_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)))).
% 12.82/4.18  cnf(i_0_1473, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk212_2(X3,X4))|in(esk214_5(X3,X4,X1,X2,X1),X1)|in(esk207_2(X3,X4),X3)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 12.82/4.18  cnf(i_0_1878, plain, (esk260_3(X1,X2,X3)=esk261_3(X1,X2,X3)|empty_carrier(X1)|in(X4,esk267_3(X1,X2,X3))|~relstr_set_smaller(X1,X4,X5)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,powerset(X3))|~in(X5,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1580, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk226_2(X1,X2)|esk228_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk227_2(X1,X2))|~one_sorted_str(X1)|~element(esk224_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2136, plain, (esk334_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))|esk325_2(X1,X2)!=esk324_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)))).
% 12.82/4.18  cnf(i_0_1805, plain, (unordered_pair(unordered_pair(esk256_4(X1,X2,X3,X4),esk256_4(X1,X2,X3,X4)),unordered_pair(esk256_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4)))=X4|esk245_2(X1,X2)=esk246_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1751, plain, (unordered_pair(unordered_pair(esk256_4(X1,X2,X3,X4),esk256_4(X1,X2,X3,X4)),unordered_pair(esk256_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4)))=X4|esk245_2(X1,X2)=esk247_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1843, plain, (esk260_3(X1,X2,X3)=esk262_3(X1,X2,X3)|empty_carrier(X1)|in(X4,esk267_3(X1,X2,X3))|~relstr_set_smaller(X1,X4,X5)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,powerset(X3))|~in(X5,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1871, plain, (esk263_3(X1,X2,X3)=esk261_3(X1,X2,X3)|empty_carrier(X1)|in(X4,esk267_3(X1,X2,X3))|~relstr_set_smaller(X1,X4,X5)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,powerset(X3))|~in(X5,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1836, plain, (esk265_3(X1,X2,X3)=esk262_3(X1,X2,X3)|empty_carrier(X1)|in(X4,esk267_3(X1,X2,X3))|~relstr_set_smaller(X1,X4,X5)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,powerset(X3))|~in(X5,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1472, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk212_2(X3,X4))|in(esk207_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk214_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 12.82/4.18  cnf(i_0_1692, plain, (in(esk259_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)),esk254_3(X1,X2,X3))|esk247_2(X1,X2)!=esk246_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_1778, plain, (unordered_pair(unordered_pair(esk256_4(X1,X2,X3,X4),esk256_4(X1,X2,X3,X4)),unordered_pair(esk256_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4)))=X4|esk248_2(X1,X2)=esk250_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1724, plain, (unordered_pair(unordered_pair(esk256_4(X1,X2,X3,X4),esk256_4(X1,X2,X3,X4)),unordered_pair(esk256_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4)))=X4|esk251_2(X1,X2)=esk253_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2178, plain, (subset_complement(the_carrier(X1),esk332_4(X1,X2,X3,X4))=esk333_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk326_2(X1,X2))=esk327_2(X1,X2)|~one_sorted_str(X1)|~element(esk332_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk326_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2146, plain, (subset_complement(the_carrier(X1),esk332_4(X1,X2,X3,X4))=esk333_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk328_2(X1,X2))=esk329_2(X1,X2)|~one_sorted_str(X1)|~element(esk332_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk328_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1799, plain, (esk245_2(X1,X2)=esk246_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk254_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk259_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))).
% 12.82/4.18  cnf(i_0_1697, plain, (unordered_pair(unordered_pair(esk256_4(X1,X2,X3,X4),esk256_4(X1,X2,X3,X4)),unordered_pair(esk256_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4)))=X4|empty(X1)|esk247_2(X1,X2)!=esk246_2(X1,X2)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1693, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk257_4(X1,X2,X3,X4),X5),unordered_pair(esk257_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4))),X2)|esk247_2(X1,X2)!=esk246_2(X1,X2)|~relation(X2)|~in(X5,esk258_4(X1,X2,X3,X4))|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1758, plain, (esk258_4(X1,X2,X3,X4)=esk256_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk249_2(X1,X2),X5),unordered_pair(esk249_2(X1,X2),esk249_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3))|~in(X5,esk250_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2275, plain, (subset_complement(the_carrier(X1),esk350_4(X1,X2,X3,X4))=esk351_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk344_2(X1,X2))=esk345_2(X1,X2)|~one_sorted_str(X1)|~element(esk350_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk344_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2243, plain, (subset_complement(the_carrier(X1),esk350_4(X1,X2,X3,X4))=esk351_4(X1,X2,X3,X4)|subset_complement(the_carrier(X1),esk346_2(X1,X2))=esk347_2(X1,X2)|~one_sorted_str(X1)|~element(esk350_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(esk346_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1745, plain, (esk245_2(X1,X2)=esk247_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk254_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk259_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))).
% 12.82/4.18  cnf(i_0_1704, plain, (esk258_4(X1,X2,X3,X4)=esk256_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk252_2(X1,X2),X5),unordered_pair(esk252_2(X1,X2),esk252_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3))|~in(X5,esk253_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1484, lemma, (esk213_4(X1,X2,X3,X4)=X3|empty(X1)|in(unordered_pair(unordered_pair(esk208_2(X1,X2),X5),unordered_pair(esk208_2(X1,X2),esk208_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2))|~in(X5,esk210_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1452, lemma, (esk213_4(X1,X2,X3,X4)=X3|empty(X1)|in(unordered_pair(unordered_pair(esk209_2(X1,X2),X5),unordered_pair(esk209_2(X1,X2),esk209_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk212_2(X1,X2))|~in(X5,esk211_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1772, plain, (esk248_2(X1,X2)=esk250_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk254_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk259_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))).
% 12.82/4.18  cnf(i_0_1718, plain, (esk251_2(X1,X2)=esk253_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk254_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk259_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))).
% 12.82/4.18  cnf(i_0_1787, plain, (unordered_pair(unordered_pair(esk256_4(X1,X2,X3,X4),esk256_4(X1,X2,X3,X4)),unordered_pair(esk256_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk248_2(X1,X2),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2751, lemma, (apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk440_3(X1,X2,X4)=esk439_2(X1,X2)|in(esk436_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)))).
% 12.82/4.18  cnf(i_0_1559, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk220_2(X1,X2)|esk223_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk222_2(X1,X2))|~one_sorted_str(X1)|~element(esk219_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2304, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk360_3(X3,X4,X5))|esk355_3(X3,X4,X5)!=esk354_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)))).
% 12.82/4.18  cnf(i_0_1733, plain, (unordered_pair(unordered_pair(esk256_4(X1,X2,X3,X4),esk256_4(X1,X2,X3,X4)),unordered_pair(esk256_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk251_2(X1,X2),X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1968, plain, (epred2_3(esk289_1(X1),esk288_1(X1),esk287_1(X1))|in(esk295_4(X1,X2,X2,X3),esk294_3(X1,X2,X2))|in(X2,esk290_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk294_3(X1,X2,X2)))).
% 12.82/4.18  cnf(i_0_1864, plain, (empty_carrier(X1)|element(esk264_3(X1,X2,X3),the_carrier(X1))|in(X4,esk267_3(X1,X2,X3))|~relstr_set_smaller(X1,X4,X5)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,powerset(X3))|~in(X5,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1829, plain, (empty_carrier(X1)|element(esk266_3(X1,X2,X3),the_carrier(X1))|in(X4,esk267_3(X1,X2,X3))|~relstr_set_smaller(X1,X4,X5)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,powerset(X3))|~in(X5,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1545, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk221_2(X1,X2)|esk223_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk222_2(X1,X2))|~one_sorted_str(X1)|~element(esk219_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2297, plain, (esk352_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk341_2(X1,X2)=esk342_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk348_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)))).
% 12.82/4.18  cnf(i_0_2614, lemma, (in(apply(esk429_2(X1,X2),X3),esk430_3(X1,X2,X3))|in(esk423_2(X1,X2),esk425_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2560, lemma, (in(apply(esk429_2(X1,X2),X3),esk430_3(X1,X2,X3))|in(esk424_2(X1,X2),esk426_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X4,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1945, plain, (unordered_pair(unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3)),unordered_pair(esk285_3(X1,X2,X3),esk286_3(X1,X2,X3)))=X3|unordered_pair(unordered_pair(esk279_1(X1),esk279_1(X1)),unordered_pair(esk279_1(X1),esk280_1(X1)))=esk277_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2795, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk446_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2779, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk446_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2265, plain, (esk352_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk341_2(X1,X2)=esk343_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk348_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)))).
% 12.82/4.18  cnf(i_0_1921, plain, (unordered_pair(unordered_pair(esk285_3(X1,X2,X3),esk285_3(X1,X2,X3)),unordered_pair(esk285_3(X1,X2,X3),esk286_3(X1,X2,X3)))=X3|unordered_pair(unordered_pair(esk281_1(X1),esk281_1(X1)),unordered_pair(esk281_1(X1),esk282_1(X1)))=esk278_1(X1)|~in(X3,esk283_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2306, plain, (unordered_pair(unordered_pair(esk362_4(X1,X2,X3,X4),esk362_4(X1,X2,X3,X4)),unordered_pair(esk362_4(X1,X2,X3,X4),esk363_4(X1,X2,X3,X4)))=X4|esk355_3(X1,X2,X3)!=esk354_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1762, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk249_2(X1,X2),X3),unordered_pair(esk249_2(X1,X2),esk249_2(X1,X2))),X2)|in(esk255_4(X1,X2,X4,X5),cartesian_product2(X1,X4))|~relation(X2)|~in(X5,esk254_3(X1,X2,X4))|~in(X3,esk250_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2755, lemma, (apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk440_3(X1,X2,X4),powerset(the_carrier(X1)))|in(esk436_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)))).
% 12.82/4.18  cnf(i_0_1593, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk225_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk227_2(X1,X2))|subset_complement(the_carrier(X1),esk228_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk224_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2281, plain, (esk352_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)),esk348_3(X1,X2,X3))|in(esk344_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)))).
% 12.82/4.18  cnf(i_0_1708, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk252_2(X1,X2),X3),unordered_pair(esk252_2(X1,X2),esk252_2(X1,X2))),X2)|in(esk255_4(X1,X2,X4,X5),cartesian_product2(X1,X4))|~relation(X2)|~in(X5,esk254_3(X1,X2,X4))|~in(X3,esk253_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1851, plain, (relstr_set_smaller(X1,esk269_4(X1,X2,X3,X4),esk270_4(X1,X2,X3,X4))|relstr_set_smaller(X1,esk263_3(X1,X2,X3),esk264_3(X1,X2,X3))|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_1816, plain, (relstr_set_smaller(X1,esk269_4(X1,X2,X3,X4),esk270_4(X1,X2,X3,X4))|relstr_set_smaller(X1,esk265_3(X1,X2,X3),esk266_3(X1,X2,X3))|empty_carrier(X1)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,esk267_3(X1,X2,X3))|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2295, plain, (unordered_pair(unordered_pair(esk344_2(X1,X2),esk344_2(X1,X2)),unordered_pair(esk344_2(X1,X2),esk345_2(X1,X2)))=esk342_2(X1,X2)|in(esk349_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1579, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk226_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk227_2(X1,X2))|subset_complement(the_carrier(X1),esk228_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk224_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2807, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk445_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2249, plain, (esk352_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)),esk348_3(X1,X2,X3))|in(esk346_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)))).
% 12.82/4.18  cnf(i_0_2263, plain, (unordered_pair(unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2)),unordered_pair(esk346_2(X1,X2),esk347_2(X1,X2)))=esk343_2(X1,X2)|in(esk349_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2140, plain, (unordered_pair(unordered_pair(esk332_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)),unordered_pair(esk332_4(X1,X2,X3,X4),esk333_4(X1,X2,X3,X4)))=X4|esk325_2(X1,X2)!=esk324_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2237, plain, (unordered_pair(unordered_pair(esk350_4(X1,X2,X3,X4),esk350_4(X1,X2,X3,X4)),unordered_pair(esk350_4(X1,X2,X3,X4),esk351_4(X1,X2,X3,X4)))=X4|esk343_2(X1,X2)!=esk342_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1793, plain, (unordered_pair(unordered_pair(esk248_2(X1,X2),esk248_2(X1,X2)),unordered_pair(esk248_2(X1,X2),esk249_2(X1,X2)))=esk246_2(X1,X2)|empty(X1)|in(esk257_4(X1,X2,X3,X4),esk258_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2791, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk445_2(X1,X2),X2)|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_1553, lemma, (element(esk223_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk222_2(X1,X2))|in(esk219_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)))).
% 12.82/4.18  cnf(i_0_2234, plain, (element(esk352_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)),esk348_3(X1,X2,X3))|esk343_2(X1,X2)!=esk342_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)))).
% 12.82/4.18  cnf(i_0_1739, plain, (unordered_pair(unordered_pair(esk251_2(X1,X2),esk251_2(X1,X2)),unordered_pair(esk251_2(X1,X2),esk252_2(X1,X2)))=esk247_2(X1,X2)|empty(X1)|in(esk257_4(X1,X2,X3,X4),esk258_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1801, plain, (esk245_2(X1,X2)=esk246_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk257_4(X1,X2,X3,X4),X5),unordered_pair(esk257_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk258_4(X1,X2,X3,X4))|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1747, plain, (esk245_2(X1,X2)=esk247_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk257_4(X1,X2,X3,X4),X5),unordered_pair(esk257_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk258_4(X1,X2,X3,X4))|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1774, plain, (esk248_2(X1,X2)=esk250_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk257_4(X1,X2,X3,X4),X5),unordered_pair(esk257_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk258_4(X1,X2,X3,X4))|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1489, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk212_2(X3,X4))|in(esk208_2(X3,X4),esk210_2(X3,X4))|in(esk214_5(X3,X4,X1,X2,X1),X1)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 12.82/4.18  cnf(i_0_2731, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk440_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk436_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)))).
% 12.82/4.18  cnf(i_0_2620, lemma, (in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(apply(esk429_2(X1,X2),X4),esk430_3(X1,X2,X4))|in(esk423_2(X1,X2),esk425_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2))|~in(X4,X1))).
% 12.82/4.18  cnf(i_0_1457, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk212_2(X3,X4))|in(esk209_2(X3,X4),esk211_2(X3,X4))|in(esk214_5(X3,X4,X1,X2,X1),X1)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 12.82/4.18  cnf(i_0_2715, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|subset_complement(the_carrier(X1),esk440_3(X1,X2,X4))!=X4|~one_sorted_str(X1)|~element(esk436_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)))).
% 12.82/4.18  cnf(i_0_1720, plain, (esk251_2(X1,X2)=esk253_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk257_4(X1,X2,X3,X4),X5),unordered_pair(esk257_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk258_4(X1,X2,X3,X4))|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1783, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk257_4(X1,X2,X3,X4),X5),unordered_pair(esk257_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4))),X2)|in(esk248_2(X1,X2),X1)|~relation(X2)|~in(X5,esk258_4(X1,X2,X3,X4))|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1769, plain, (unordered_pair(unordered_pair(esk256_4(X1,X2,X3,X4),esk256_4(X1,X2,X3,X4)),unordered_pair(esk256_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk249_2(X1,X2),esk250_2(X1,X2))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2195, plain, (unordered_pair(unordered_pair(esk326_2(X1,X2),esk326_2(X1,X2)),unordered_pair(esk326_2(X1,X2),esk327_2(X1,X2)))=esk324_2(X1,X2)|in(esk332_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)))).
% 12.82/4.18  cnf(i_0_2163, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk325_2(X1,X2)|in(esk332_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)))).
% 12.82/4.18  cnf(i_0_1558, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk220_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk222_2(X1,X2))|subset_complement(the_carrier(X1),esk223_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk219_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2566, lemma, (in(esk428_4(X1,X2,X3,esk427_2(X1,X2)),esk427_2(X1,X2))|in(apply(esk429_2(X1,X2),X4),esk430_3(X1,X2,X4))|in(esk424_2(X1,X2),esk426_2(X1,X2))|~relation(X2)|~in(X3,esk427_2(X1,X2))|~in(X4,X1))).
% 12.82/4.18  cnf(i_0_1715, plain, (unordered_pair(unordered_pair(esk256_4(X1,X2,X3,X4),esk256_4(X1,X2,X3,X4)),unordered_pair(esk256_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk252_2(X1,X2),esk253_2(X1,X2))|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1729, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk257_4(X1,X2,X3,X4),X5),unordered_pair(esk257_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4))),X2)|in(esk251_2(X1,X2),X1)|~relation(X2)|~in(X5,esk258_4(X1,X2,X3,X4))|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1488, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk212_2(X3,X4))|in(esk208_2(X3,X4),esk210_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk214_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 12.82/4.18  cnf(i_0_2332, plain, (unordered_pair(unordered_pair(esk356_3(X1,X2,X3),esk356_3(X1,X2,X3)),unordered_pair(esk356_3(X1,X2,X3),esk357_3(X1,X2,X3)))=esk354_3(X1,X2,X3)|esk361_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1456, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk212_2(X3,X4))|in(esk209_2(X3,X4),esk211_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk214_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 12.82/4.18  cnf(i_0_1544, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk221_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk222_2(X1,X2))|subset_complement(the_carrier(X1),esk223_4(X1,X2,X3,X4))!=X4|~one_sorted_str(X1)|~element(esk219_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2204, plain, (unordered_pair(unordered_pair(esk332_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)),unordered_pair(esk332_4(X1,X2,X3,X4),esk333_4(X1,X2,X3,X4)))=X4|esk323_2(X1,X2)=esk324_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1773, plain, (esk248_2(X1,X2)=esk250_2(X1,X2)|in(esk259_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)),esk254_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_2317, plain, (unordered_pair(unordered_pair(esk358_3(X1,X2,X3),esk358_3(X1,X2,X3)),unordered_pair(esk358_3(X1,X2,X3),esk359_3(X1,X2,X3)))=esk355_3(X1,X2,X3)|esk361_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1781, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk254_3(X3,X4,X5))|in(esk248_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk259_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))).
% 12.82/4.18  cnf(i_0_1727, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk254_3(X3,X4,X5))|in(esk251_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk259_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))).
% 12.82/4.18  cnf(i_0_614, plain, (X1=relation_composition(X2,X3)|~relation(X1)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk120_3(X2,X3,X1),esk120_3(X2,X3,X1)),unordered_pair(esk120_3(X2,X3,X1),esk121_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk120_3(X2,X3,X1),X4),unordered_pair(esk120_3(X2,X3,X1),esk120_3(X2,X3,X1))),X2)|~in(unordered_pair(unordered_pair(X4,esk121_3(X2,X3,X1)),unordered_pair(X4,X4)),X3))).
% 12.82/4.18  cnf(i_0_2172, plain, (unordered_pair(unordered_pair(esk332_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)),unordered_pair(esk332_4(X1,X2,X3,X4),esk333_4(X1,X2,X3,X4)))=X4|esk323_2(X1,X2)=esk325_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2301, plain, (unordered_pair(unordered_pair(esk350_4(X1,X2,X3,X4),esk350_4(X1,X2,X3,X4)),unordered_pair(esk350_4(X1,X2,X3,X4),esk351_4(X1,X2,X3,X4)))=X4|esk341_2(X1,X2)=esk342_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2269, plain, (unordered_pair(unordered_pair(esk350_4(X1,X2,X3,X4),esk350_4(X1,X2,X3,X4)),unordered_pair(esk350_4(X1,X2,X3,X4),esk351_4(X1,X2,X3,X4)))=X4|esk341_2(X1,X2)=esk343_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1719, plain, (esk251_2(X1,X2)=esk253_2(X1,X2)|in(esk259_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)),esk254_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_2285, plain, (unordered_pair(unordered_pair(esk350_4(X1,X2,X3,X4),esk350_4(X1,X2,X3,X4)),unordered_pair(esk350_4(X1,X2,X3,X4),esk351_4(X1,X2,X3,X4)))=X4|in(esk344_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2253, plain, (unordered_pair(unordered_pair(esk350_4(X1,X2,X3,X4),esk350_4(X1,X2,X3,X4)),unordered_pair(esk350_4(X1,X2,X3,X4),esk351_4(X1,X2,X3,X4)))=X4|in(esk346_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1918, plain, (unordered_pair(unordered_pair(esk281_1(X1),esk281_1(X1)),unordered_pair(esk281_1(X1),esk282_1(X1)))=esk278_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk283_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 12.82/4.18  cnf(i_0_616, plain, (in(unordered_pair(unordered_pair(X1,esk119_5(X2,X3,relation_composition(X2,X3),X4,X1)),unordered_pair(esk119_5(X2,X3,relation_composition(X2,X3),X4,X1),esk119_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)))).
% 12.82/4.18  cnf(i_0_2336, plain, (unordered_pair(unordered_pair(esk362_4(X1,X2,X3,X4),esk362_4(X1,X2,X3,X4)),unordered_pair(esk362_4(X1,X2,X3,X4),esk363_4(X1,X2,X3,X4)))=X4|esk353_3(X1,X2,X3)=esk354_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2321, plain, (unordered_pair(unordered_pair(esk362_4(X1,X2,X3,X4),esk362_4(X1,X2,X3,X4)),unordered_pair(esk362_4(X1,X2,X3,X4),esk363_4(X1,X2,X3,X4)))=X4|esk353_3(X1,X2,X3)=esk355_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2535, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk427_2(X1,X2),X1)|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2298, plain, (esk341_2(X1,X2)=esk342_2(X1,X2)|element(esk352_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)),esk348_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)))).
% 12.82/4.18  cnf(i_0_2799, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk446_3(X1,X2,X4)=esk445_2(X1,X2)|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_1757, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk249_2(X1,X2),X3),unordered_pair(esk249_2(X1,X2),esk249_2(X1,X2))),X2)|in(esk257_4(X1,X2,X4,X5),esk258_4(X1,X2,X4,X5))|~relation(X2)|~in(X5,esk254_3(X1,X2,X4))|~in(X3,esk250_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1850, plain, (relstr_set_smaller(X1,esk263_3(X1,X2,X3),esk264_3(X1,X2,X3))|empty_carrier(X1)|in(X4,esk267_3(X1,X2,X3))|~relstr_set_smaller(X1,X4,X5)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,powerset(X3))|~in(X5,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2783, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk446_3(X1,X2,X4)=esk445_2(X1,X2)|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2266, plain, (esk341_2(X1,X2)=esk343_2(X1,X2)|element(esk352_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)),esk348_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)))).
% 12.82/4.18  cnf(i_0_1703, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk252_2(X1,X2),X3),unordered_pair(esk252_2(X1,X2),esk252_2(X1,X2))),X2)|in(esk257_4(X1,X2,X4,X5),esk258_4(X1,X2,X4,X5))|~relation(X2)|~in(X5,esk254_3(X1,X2,X4))|~in(X3,esk253_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1765, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk257_4(X1,X2,X3,X4),X5),unordered_pair(esk257_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4))),X2)|in(esk249_2(X1,X2),esk250_2(X1,X2))|~relation(X2)|~in(X5,esk258_4(X1,X2,X3,X4))|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1711, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk257_4(X1,X2,X3,X4),X5),unordered_pair(esk257_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4))),X2)|in(esk252_2(X1,X2),esk253_2(X1,X2))|~relation(X2)|~in(X5,esk258_4(X1,X2,X3,X4))|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2643, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2803, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk443_2(X1,X2)|apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk446_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_1815, plain, (relstr_set_smaller(X1,esk265_3(X1,X2,X3),esk266_3(X1,X2,X3))|empty_carrier(X1)|in(X4,esk267_3(X1,X2,X3))|~relstr_set_smaller(X1,X4,X5)|~transitive_relstr(X1)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~in(X4,powerset(X3))|~in(X5,X2)|~rel_str(X1))).
% 12.82/4.18  cnf(i_0_2787, lemma, (subset_complement(the_carrier(X1),esk442_2(X1,X2))=esk444_2(X1,X2)|apply(esk447_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk446_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk442_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2200, plain, (esk334_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk323_2(X1,X2)=esk324_2(X1,X2)|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)))).
% 12.82/4.18  cnf(i_0_2589, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1483, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk208_2(X1,X2),X3),unordered_pair(esk208_2(X1,X2),esk208_2(X1,X2))),X2)|in(X4,esk213_4(X1,X2,X5,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),esk212_2(X1,X2))|~in(X3,esk210_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1451, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk209_2(X1,X2),X3),unordered_pair(esk209_2(X1,X2),esk209_2(X1,X2))),X2)|in(X4,esk213_4(X1,X2,X5,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),esk212_2(X1,X2))|~in(X3,esk211_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2661, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk427_2(X1,X2),X1)|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2198, plain, (unordered_pair(unordered_pair(esk326_2(X1,X2),esk326_2(X1,X2)),unordered_pair(esk326_2(X1,X2),esk327_2(X1,X2)))=esk324_2(X1,X2)|in(esk331_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,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2166, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk325_2(X1,X2)|in(esk331_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,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2605, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X3),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X3,esk425_2(X1,X2))|~in(X4,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2608, lemma, (in(unordered_pair(unordered_pair(esk423_2(X1,X2),X3),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|in(apply(esk429_2(X1,X2),X4),esk430_3(X1,X2,X4))|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,esk425_2(X1,X2))|~in(X4,X1))).
% 12.82/4.18  cnf(i_0_1667, plain, (in(unordered_pair(unordered_pair(esk237_2(X1,X2),X3),unordered_pair(esk237_2(X1,X2),esk237_2(X1,X2))),X2)|in(X4,esk241_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk244_5(X1,X2,X4,X5,X5))),X2)|~in(X3,esk239_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 12.82/4.18  cnf(i_0_2554, lemma, (in(unordered_pair(unordered_pair(esk424_2(X1,X2),X3),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|in(apply(esk429_2(X1,X2),X4),esk430_3(X1,X2,X4))|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X3,esk426_2(X1,X2))|~in(X4,X1))).
% 12.82/4.18  cnf(i_0_1643, plain, (in(unordered_pair(unordered_pair(esk238_2(X1,X2),X3),unordered_pair(esk238_2(X1,X2),esk238_2(X1,X2))),X2)|in(X4,esk241_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk244_5(X1,X2,X4,X5,X5))),X2)|~in(X3,esk240_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 12.82/4.18  cnf(i_0_2188, plain, (unordered_pair(unordered_pair(esk332_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)),unordered_pair(esk332_4(X1,X2,X3,X4),esk333_4(X1,X2,X3,X4)))=X4|in(esk326_2(X1,X2),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)))).
% 12.82/4.18  cnf(i_0_2156, plain, (unordered_pair(unordered_pair(esk332_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)),unordered_pair(esk332_4(X1,X2,X3,X4),esk333_4(X1,X2,X3,X4)))=X4|in(esk328_2(X1,X2),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)))).
% 12.82/4.18  cnf(i_0_2551, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X3),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X3,esk426_2(X1,X2))|~in(X4,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2735, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk440_3(X1,X2,X4)=esk439_2(X1,X2)|~one_sorted_str(X1)|~element(esk436_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)))).
% 12.82/4.18  cnf(i_0_1763, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk254_3(X3,X4,X5))|in(esk249_2(X3,X4),esk250_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk259_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))).
% 12.82/4.18  cnf(i_0_1709, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk254_3(X3,X4,X5))|in(esk252_2(X3,X4),esk253_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk259_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))).
% 12.82/4.18  cnf(i_0_396, plain, (X1=X2|in(unordered_pair(unordered_pair(esk64_2(X1,X2),esk64_2(X1,X2)),unordered_pair(esk64_2(X1,X2),esk65_2(X1,X2))),X1)|in(unordered_pair(unordered_pair(esk64_2(X1,X2),esk64_2(X1,X2)),unordered_pair(esk64_2(X1,X2),esk65_2(X1,X2))),X2)|~relation(X2)|~relation(X1))).
% 12.82/4.18  cnf(i_0_2719, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|esk440_3(X1,X2,X4)=esk439_2(X1,X2)|~one_sorted_str(X1)|~element(esk436_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)))).
% 12.82/4.18  cnf(i_0_1595, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk225_2(X1,X2)|element(esk228_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk227_2(X1,X2))|~one_sorted_str(X1)|~element(esk224_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2168, plain, (esk334_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|esk323_2(X1,X2)=esk325_2(X1,X2)|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)))).
% 12.82/4.18  cnf(i_0_2625, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk423_2(X1,X2),esk425_2(X1,X2))|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1668, plain, (in(unordered_pair(unordered_pair(esk237_2(X1,X2),X3),unordered_pair(esk237_2(X1,X2),esk237_2(X1,X2))),X2)|in(esk244_5(X1,X2,X4,X5,X5),X5)|in(X4,esk241_2(X1,X2))|~relation(X2)|~in(X3,esk239_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 12.82/4.18  cnf(i_0_2571, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk424_2(X1,X2),esk426_2(X1,X2))|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1581, lemma, (subset_complement(the_carrier(X1),esk224_2(X1,X2))=esk226_2(X1,X2)|element(esk228_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk227_2(X1,X2))|~one_sorted_str(X1)|~element(esk224_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,X2))).
% 12.82/4.18  cnf(i_0_2743, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk436_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)))).
% 12.82/4.18  cnf(i_0_1800, plain, (esk245_2(X1,X2)=esk246_2(X1,X2)|in(esk259_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)),esk254_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_1644, plain, (in(unordered_pair(unordered_pair(esk238_2(X1,X2),X3),unordered_pair(esk238_2(X1,X2),esk238_2(X1,X2))),X2)|in(esk244_5(X1,X2,X4,X5,X5),X5)|in(X4,esk241_2(X1,X2))|~relation(X2)|~in(X3,esk240_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 12.82/4.18  cnf(i_0_2272, plain, (subset_complement(the_carrier(X1),esk344_2(X1,X2))=esk345_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk348_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk352_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk344_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)))).
% 12.82/4.18  cnf(i_0_561, plain, (X1=relation_inverse(X2)|in(unordered_pair(unordered_pair(esk106_2(X2,X1),esk107_2(X2,X1)),unordered_pair(esk107_2(X2,X1),esk107_2(X2,X1))),X2)|in(unordered_pair(unordered_pair(esk106_2(X2,X1),esk106_2(X2,X1)),unordered_pair(esk106_2(X2,X1),esk107_2(X2,X1))),X1)|~relation(X1)|~relation(X2))).
% 12.82/4.18  cnf(i_0_2727, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|in(esk439_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(esk436_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)))).
% 12.82/4.18  cnf(i_0_2739, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk437_2(X1,X2)|apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk440_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk436_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)))).
% 12.82/4.18  cnf(i_0_1746, plain, (esk245_2(X1,X2)=esk247_2(X1,X2)|in(esk259_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)),esk254_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_2606, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X3),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X3,esk425_2(X1,X2))|~in(X4,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2240, plain, (subset_complement(the_carrier(X1),esk346_2(X1,X2))=esk347_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk348_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk352_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk346_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)))).
% 12.82/4.18  cnf(i_0_2334, plain, (esk353_3(X1,X2,X3)=esk354_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk360_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)))).
% 12.82/4.18  cnf(i_0_2319, plain, (esk353_3(X1,X2,X3)=esk355_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk360_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)))).
% 12.82/4.18  cnf(i_0_2552, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X3),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X3,esk426_2(X1,X2))|~in(X4,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2723, lemma, (subset_complement(the_carrier(X1),esk436_2(X1,X2))=esk438_2(X1,X2)|apply(esk441_2(X1,X2),X3)=subset_complement(the_carrier(X1),X3)|element(esk440_3(X1,X2,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(esk436_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)))).
% 12.82/4.18  cnf(i_0_2599, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X3),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X3,esk425_2(X1,X2))|~in(X4,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2545, lemma, (function(esk429_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X3),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X3,esk426_2(X1,X2))|~in(X4,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1782, plain, (in(esk259_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)),esk254_3(X1,X2,X3))|in(esk248_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_2333, plain, (unordered_pair(unordered_pair(esk356_3(X1,X2,X3),esk356_3(X1,X2,X3)),unordered_pair(esk356_3(X1,X2,X3),esk357_3(X1,X2,X3)))=esk354_3(X1,X2,X3)|in(esk361_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1669, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk237_2(X1,X2),X3),unordered_pair(esk237_2(X1,X2),esk237_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(X5,esk243_3(X1,X2,X4))|~in(X3,esk239_2(X1,X2))|~in(X4,esk241_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1645, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk238_2(X1,X2),X3),unordered_pair(esk238_2(X1,X2),esk238_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(X5,esk243_3(X1,X2,X4))|~in(X3,esk240_2(X1,X2))|~in(X4,esk241_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2318, plain, (unordered_pair(unordered_pair(esk358_3(X1,X2,X3),esk358_3(X1,X2,X3)),unordered_pair(esk358_3(X1,X2,X3),esk359_3(X1,X2,X3)))=esk355_3(X1,X2,X3)|in(esk361_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2600, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X3),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X3,esk425_2(X1,X2))|~in(X4,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2546, lemma, (relation(esk429_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X3),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X3,esk426_2(X1,X2))|~in(X4,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1560, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk220_2(X1,X2)|element(esk223_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk222_2(X1,X2))|~one_sorted_str(X1)|~element(esk219_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2604, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X3),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X3,esk425_2(X1,X2))|~in(X4,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2550, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X3),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X3,esk426_2(X1,X2))|~in(X4,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2597, lemma, (esk430_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X4),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk428_4(X1,X2,X5,esk427_2(X1,X2)))),X2)|~in(X4,esk425_2(X1,X2))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2543, lemma, (esk430_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X4),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk428_4(X1,X2,X5,esk427_2(X1,X2)))),X2)|~in(X4,esk426_2(X1,X2))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1546, lemma, (subset_complement(the_carrier(X1),esk219_2(X1,X2))=esk221_2(X1,X2)|element(esk223_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk222_2(X1,X2))|~one_sorted_str(X1)|~element(esk219_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X3,complements_of_subsets(the_carrier(X1),X2)))).
% 12.82/4.18  cnf(i_0_2598, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X3),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X3,esk425_2(X1,X2))|~in(X4,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2544, lemma, (relation_dom(esk429_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X3),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk428_4(X1,X2,X4,esk427_2(X1,X2)))),X2)|~in(X3,esk426_2(X1,X2))|~in(X4,esk427_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1728, plain, (in(esk259_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)),esk254_3(X1,X2,X3))|in(esk251_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_567, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk108_3(X1,X2,X3),esk108_3(X1,X2,X3)),unordered_pair(esk108_3(X1,X2,X3),esk109_3(X1,X2,X3))),X1)|in(esk108_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))).
% 12.82/4.18  cnf(i_0_566, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk108_3(X1,X2,X3),esk108_3(X1,X2,X3)),unordered_pair(esk108_3(X1,X2,X3),esk109_3(X1,X2,X3))),X1)|in(esk109_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))).
% 12.82/4.18  cnf(i_0_2137, plain, (element(esk334_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))|esk325_2(X1,X2)!=esk324_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)))).
% 12.82/4.18  cnf(i_0_2491, lemma, (in(unordered_pair(unordered_pair(apply(X1,esk412_4(X2,X3,X1,X4)),apply(X1,esk412_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk412_4(X2,X3,X1,X4)),apply(X1,esk413_4(X2,X3,X1,X4)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk411_3(X2,X3,X1)))).
% 12.82/4.18  cnf(i_0_2183, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk330_3(X3,X4,X5))|in(esk326_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk334_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)))).
% 12.82/4.18  cnf(i_0_2151, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk330_3(X3,X4,X5))|in(esk328_2(X3,X4),complements_of_subsets(the_carrier(X3),X4))|subset_complement(the_carrier(X3),esk334_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)))).
% 12.82/4.18  cnf(i_0_2175, plain, (subset_complement(the_carrier(X1),esk326_2(X1,X2))=esk327_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk330_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk334_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk326_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)))).
% 12.82/4.18  cnf(i_0_2603, lemma, (esk430_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X4),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|in(esk428_4(X1,X2,X5,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X4,esk425_2(X1,X2))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2194, plain, (unordered_pair(unordered_pair(esk326_2(X1,X2),esk326_2(X1,X2)),unordered_pair(esk326_2(X1,X2),esk327_2(X1,X2)))=esk324_2(X1,X2)|subset_complement(the_carrier(X1),esk332_4(X1,X2,X3,X4))=esk333_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk332_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2162, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk325_2(X1,X2)|subset_complement(the_carrier(X1),esk332_4(X1,X2,X3,X4))=esk333_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk332_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2291, plain, (unordered_pair(unordered_pair(esk344_2(X1,X2),esk344_2(X1,X2)),unordered_pair(esk344_2(X1,X2),esk345_2(X1,X2)))=esk342_2(X1,X2)|subset_complement(the_carrier(X1),esk350_4(X1,X2,X3,X4))=esk351_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk350_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2259, plain, (unordered_pair(unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2)),unordered_pair(esk346_2(X1,X2),esk347_2(X1,X2)))=esk343_2(X1,X2)|subset_complement(the_carrier(X1),esk350_4(X1,X2,X3,X4))=esk351_4(X1,X2,X3,X4)|~one_sorted_str(X1)|~element(esk350_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2282, plain, (element(esk352_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)),esk348_3(X1,X2,X3))|in(esk344_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)))).
% 12.82/4.18  cnf(i_0_2549, lemma, (esk430_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X4),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|in(esk428_4(X1,X2,X5,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X4,esk426_2(X1,X2))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2143, plain, (subset_complement(the_carrier(X1),esk328_2(X1,X2))=esk329_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk330_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk334_6(X1,X2,X5,unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X3,X4))!=X4|~one_sorted_str(X1)|~element(esk328_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)))).
% 12.82/4.18  cnf(i_0_1764, plain, (in(esk259_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)),esk254_3(X1,X2,X3))|in(esk249_2(X1,X2),esk250_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_1710, plain, (in(esk259_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)),esk254_3(X1,X2,X3))|in(esk252_2(X1,X2),esk253_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_2327, plain, (esk361_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk356_3(X1,X2,X3)),apply(X3,esk356_3(X1,X2,X3))),unordered_pair(apply(X3,esk356_3(X1,X2,X3)),apply(X3,esk357_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2250, plain, (element(esk352_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)),esk348_3(X1,X2,X3))|in(esk346_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)))).
% 12.82/4.18  cnf(i_0_2201, plain, (esk323_2(X1,X2)=esk324_2(X1,X2)|element(esk334_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)))).
% 12.82/4.18  cnf(i_0_2169, plain, (esk323_2(X1,X2)=esk325_2(X1,X2)|element(esk334_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)))).
% 12.82/4.18  cnf(i_0_2312, plain, (esk361_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk358_3(X1,X2,X3)),apply(X3,esk358_3(X1,X2,X3))),unordered_pair(apply(X3,esk358_3(X1,X2,X3)),apply(X3,esk359_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2523, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk428_4(X1,X2,X5,esk427_2(X1,X2)))),X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1482, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk208_2(X1,X2),X3),unordered_pair(esk208_2(X1,X2),esk208_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)),esk212_2(X1,X2))|~in(X5,esk213_4(X1,X2,X6,X4))|~in(X3,esk210_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1450, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk209_2(X1,X2),X3),unordered_pair(esk209_2(X1,X2),esk209_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)),esk212_2(X1,X2))|~in(X5,esk213_4(X1,X2,X6,X4))|~in(X3,esk211_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2184, plain, (esk334_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))|in(esk326_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)))).
% 12.82/4.18  cnf(i_0_2305, plain, (in(unordered_pair(unordered_pair(apply(X1,esk362_4(X2,X3,X1,X4)),apply(X1,esk362_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk362_4(X2,X3,X1,X4)),apply(X1,esk363_4(X2,X3,X1,X4)))),X3)|esk355_3(X2,X3,X1)!=esk354_3(X2,X3,X1)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk360_3(X2,X3,X1)))).
% 12.82/4.18  cnf(i_0_2180, plain, (unordered_pair(unordered_pair(esk332_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)),unordered_pair(esk332_4(X1,X2,X3,X4),esk333_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk326_2(X1,X2))=esk327_2(X1,X2)|~one_sorted_str(X1)|~element(esk326_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2148, plain, (unordered_pair(unordered_pair(esk332_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)),unordered_pair(esk332_4(X1,X2,X3,X4),esk333_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk328_2(X1,X2))=esk329_2(X1,X2)|~one_sorted_str(X1)|~element(esk328_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2152, plain, (esk334_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))|in(esk328_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)))).
% 12.82/4.18  cnf(i_0_2335, plain, (esk353_3(X1,X2,X3)=esk354_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk362_4(X1,X2,X3,X4)),apply(X3,esk362_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk362_4(X1,X2,X3,X4)),apply(X3,esk363_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2631, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk428_4(X1,X2,X5,esk427_2(X1,X2)))),X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2577, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk428_4(X1,X2,X5,esk427_2(X1,X2)))),X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2320, plain, (esk353_3(X1,X2,X3)=esk355_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk362_4(X1,X2,X3,X4)),apply(X3,esk362_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk362_4(X1,X2,X3,X4)),apply(X3,esk363_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2277, plain, (unordered_pair(unordered_pair(esk350_4(X1,X2,X3,X4),esk350_4(X1,X2,X3,X4)),unordered_pair(esk350_4(X1,X2,X3,X4),esk351_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk344_2(X1,X2))=esk345_2(X1,X2)|~one_sorted_str(X1)|~element(esk344_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2245, plain, (unordered_pair(unordered_pair(esk350_4(X1,X2,X3,X4),esk350_4(X1,X2,X3,X4)),unordered_pair(esk350_4(X1,X2,X3,X4),esk351_4(X1,X2,X3,X4)))=X4|subset_complement(the_carrier(X1),esk346_2(X1,X2))=esk347_2(X1,X2)|~one_sorted_str(X1)|~element(esk346_2(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2273, plain, (esk352_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk344_2(X1,X2))=esk345_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk348_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk344_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)))).
% 12.82/4.18  cnf(i_0_2649, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk428_4(X1,X2,X5,esk427_2(X1,X2)))),X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_568, 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,esk108_3(X1,X2,X3)),apply(X3,esk108_3(X1,X2,X3))),unordered_pair(apply(X3,esk108_3(X1,X2,X3)),apply(X3,esk109_3(X1,X2,X3)))),X2)|~in(unordered_pair(unordered_pair(esk108_3(X1,X2,X3),esk108_3(X1,X2,X3)),unordered_pair(esk108_3(X1,X2,X3),esk109_3(X1,X2,X3))),X1)|~in(esk108_3(X1,X2,X3),relation_field(X1))|~in(esk109_3(X1,X2,X3),relation_field(X1)))).
% 12.82/4.18  cnf(i_0_2241, plain, (esk352_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk346_2(X1,X2))=esk347_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk348_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk346_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)))).
% 12.82/4.18  cnf(i_0_2274, plain, (subset_complement(the_carrier(X1),esk344_2(X1,X2))=esk345_2(X1,X2)|element(esk352_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)),esk348_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk344_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)))).
% 12.82/4.18  cnf(i_0_2242, plain, (subset_complement(the_carrier(X1),esk346_2(X1,X2))=esk347_2(X1,X2)|element(esk352_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)),esk348_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk346_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)))).
% 12.82/4.18  cnf(i_0_2185, plain, (element(esk334_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))|in(esk326_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)))).
% 12.82/4.18  cnf(i_0_1481, lemma, (in(unordered_pair(unordered_pair(esk208_2(X1,X2),X3),unordered_pair(esk208_2(X1,X2),esk208_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk212_2(X1,X2))|in(esk214_5(X1,X2,X4,X5,X4),X4)|~relation(X2)|~in(X3,esk210_2(X1,X2))|~in(X5,X4)|~in(X4,X1))).
% 12.82/4.18  cnf(i_0_2596, lemma, (in(unordered_pair(unordered_pair(esk423_2(X1,X2),X3),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|in(apply(esk429_2(X1,X2),X4),esk430_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk428_4(X1,X2,X5,esk427_2(X1,X2)))),X2)|~in(X3,esk425_2(X1,X2))|~in(X5,esk427_2(X1,X2))|~in(X4,X1))).
% 12.82/4.18  cnf(i_0_2542, lemma, (in(unordered_pair(unordered_pair(esk424_2(X1,X2),X3),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|in(apply(esk429_2(X1,X2),X4),esk430_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk428_4(X1,X2,X5,esk427_2(X1,X2)))),X2)|~in(X3,esk426_2(X1,X2))|~in(X5,esk427_2(X1,X2))|~in(X4,X1))).
% 12.82/4.18  cnf(i_0_1449, lemma, (in(unordered_pair(unordered_pair(esk209_2(X1,X2),X3),unordered_pair(esk209_2(X1,X2),esk209_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk212_2(X1,X2))|in(esk214_5(X1,X2,X4,X5,X4),X4)|~relation(X2)|~in(X3,esk211_2(X1,X2))|~in(X5,X4)|~in(X4,X1))).
% 12.82/4.18  cnf(i_0_2529, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk428_4(X1,X2,X5,esk427_2(X1,X2)),esk427_2(X1,X2))|esk424_2(X1,X2)!=esk423_2(X1,X2)|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2153, plain, (element(esk334_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))|in(esk328_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)))).
% 12.82/4.18  cnf(i_0_2328, plain, (in(unordered_pair(unordered_pair(apply(X1,esk356_3(X2,X3,X1)),apply(X1,esk356_3(X2,X3,X1))),unordered_pair(apply(X1,esk356_3(X2,X3,X1)),apply(X1,esk357_3(X2,X3,X1)))),X3)|in(esk361_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~relation(X1)|~relation(X3)|~function(X1)|~in(X4,esk360_3(X2,X3,X1)))).
% 12.82/4.18  cnf(i_0_1480, lemma, (in(unordered_pair(unordered_pair(esk208_2(X1,X2),X3),unordered_pair(esk208_2(X1,X2),esk208_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk212_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk214_5(X1,X2,X4,X5,X4))),X2)|~in(X3,esk210_2(X1,X2))|~in(X4,X1)|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_1448, lemma, (in(unordered_pair(unordered_pair(esk209_2(X1,X2),X3),unordered_pair(esk209_2(X1,X2),esk209_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk212_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk214_5(X1,X2,X4,X5,X4))),X2)|~in(X3,esk211_2(X1,X2))|~in(X4,X1)|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_2313, plain, (in(unordered_pair(unordered_pair(apply(X1,esk358_3(X2,X3,X1)),apply(X1,esk358_3(X2,X3,X1))),unordered_pair(apply(X1,esk358_3(X2,X3,X1)),apply(X1,esk359_3(X2,X3,X1)))),X3)|in(esk361_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~relation(X1)|~relation(X3)|~function(X1)|~in(X4,esk360_3(X2,X3,X1)))).
% 12.82/4.18  cnf(i_0_2176, plain, (esk334_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk326_2(X1,X2))=esk327_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk330_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk326_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)))).
% 12.82/4.18  cnf(i_0_2144, plain, (esk334_6(X1,X2,X3,unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X4,X5)=X4|subset_complement(the_carrier(X1),esk328_2(X1,X2))=esk329_2(X1,X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk330_3(X1,X2,X3))|~one_sorted_str(X1)|~element(esk328_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)))).
% 12.82/4.18  cnf(i_0_2177, plain, (subset_complement(the_carrier(X1),esk326_2(X1,X2))=esk327_2(X1,X2)|element(esk334_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(esk326_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)))).
% 12.82/4.18  cnf(i_0_2637, lemma, (esk422_2(X1,X2)=esk425_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk428_4(X1,X2,X5,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2583, lemma, (esk426_2(X1,X2)=esk422_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk428_4(X1,X2,X5,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2613, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk423_2(X1,X2),esk425_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk428_4(X1,X2,X5,esk427_2(X1,X2)))),X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2559, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk424_2(X1,X2),esk426_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk428_4(X1,X2,X5,esk427_2(X1,X2)))),X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2655, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk428_4(X1,X2,X5,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk422_2(X1,X2),X1)|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2145, plain, (subset_complement(the_carrier(X1),esk328_2(X1,X2))=esk329_2(X1,X2)|element(esk334_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(esk328_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)))).
% 12.82/4.18  cnf(i_0_2602, lemma, (in(unordered_pair(unordered_pair(esk423_2(X1,X2),X3),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|in(apply(esk429_2(X1,X2),X5),esk430_3(X1,X2,X5))|~relation(X2)|~in(X3,esk425_2(X1,X2))|~in(X4,esk427_2(X1,X2))|~in(X5,X1))).
% 12.82/4.18  cnf(i_0_2288, plain, (unordered_pair(unordered_pair(esk344_2(X1,X2),esk344_2(X1,X2)),unordered_pair(esk344_2(X1,X2),esk345_2(X1,X2)))=esk342_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk348_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk352_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)))).
% 12.82/4.18  cnf(i_0_2548, lemma, (in(unordered_pair(unordered_pair(esk424_2(X1,X2),X3),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|in(esk428_4(X1,X2,X4,esk427_2(X1,X2)),esk427_2(X1,X2))|in(apply(esk429_2(X1,X2),X5),esk430_3(X1,X2,X5))|~relation(X2)|~in(X3,esk426_2(X1,X2))|~in(X4,esk427_2(X1,X2))|~in(X5,X1))).
% 12.82/4.18  cnf(i_0_1796, plain, (unordered_pair(unordered_pair(esk256_4(X1,X2,X3,X4),esk256_4(X1,X2,X3,X4)),unordered_pair(esk256_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk248_2(X1,X2),esk248_2(X1,X2)),unordered_pair(esk248_2(X1,X2),esk249_2(X1,X2)))=esk246_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2619, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk428_4(X1,X2,X5,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk423_2(X1,X2),esk425_2(X1,X2))|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2565, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(esk428_4(X1,X2,X5,esk427_2(X1,X2)),esk427_2(X1,X2))|in(esk424_2(X1,X2),esk426_2(X1,X2))|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2256, plain, (unordered_pair(unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2)),unordered_pair(esk346_2(X1,X2),esk347_2(X1,X2)))=esk343_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk348_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk352_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)))).
% 12.82/4.18  cnf(i_0_2289, plain, (unordered_pair(unordered_pair(esk344_2(X1,X2),esk344_2(X1,X2)),unordered_pair(esk344_2(X1,X2),esk345_2(X1,X2)))=esk342_2(X1,X2)|esk352_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)),esk348_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)))).
% 12.82/4.18  cnf(i_0_1742, plain, (unordered_pair(unordered_pair(esk256_4(X1,X2,X3,X4),esk256_4(X1,X2,X3,X4)),unordered_pair(esk256_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk251_2(X1,X2),esk251_2(X1,X2)),unordered_pair(esk251_2(X1,X2),esk252_2(X1,X2)))=esk247_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1754, plain, (in(unordered_pair(unordered_pair(esk249_2(X1,X2),X3),unordered_pair(esk249_2(X1,X2),esk249_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk254_3(X1,X2,X6))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk259_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,esk250_2(X1,X2))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_1700, plain, (in(unordered_pair(unordered_pair(esk252_2(X1,X2),X3),unordered_pair(esk252_2(X1,X2),esk252_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk254_3(X1,X2,X6))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk259_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,esk253_2(X1,X2))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_176, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk4_3(X2,X3,X1),esk4_3(X2,X3,X1)),unordered_pair(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk4_3(X2,X3,X1),esk4_3(X2,X3,X1)),unordered_pair(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X2))).
% 12.82/4.18  cnf(i_0_1760, plain, (unordered_pair(unordered_pair(esk256_4(X1,X2,X3,X4),esk256_4(X1,X2,X3,X4)),unordered_pair(esk256_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk249_2(X1,X2),X5),unordered_pair(esk249_2(X1,X2),esk249_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3))|~in(X5,esk250_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2257, plain, (unordered_pair(unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2)),unordered_pair(esk346_2(X1,X2),esk347_2(X1,X2)))=esk343_2(X1,X2)|esk352_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)),esk348_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)))).
% 12.82/4.18  cnf(i_0_196, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk12_3(X2,X3,X1),esk11_3(X2,X3,X1)),unordered_pair(esk11_3(X2,X3,X1),esk11_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk12_3(X2,X3,X1),esk11_3(X2,X3,X1)),unordered_pair(esk11_3(X2,X3,X1),esk11_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3))).
% 12.82/4.18  cnf(i_0_1790, plain, (unordered_pair(unordered_pair(esk248_2(X1,X2),esk248_2(X1,X2)),unordered_pair(esk248_2(X1,X2),esk249_2(X1,X2)))=esk246_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk254_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk259_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))).
% 12.82/4.18  cnf(i_0_1736, plain, (unordered_pair(unordered_pair(esk251_2(X1,X2),esk251_2(X1,X2)),unordered_pair(esk251_2(X1,X2),esk252_2(X1,X2)))=esk247_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk254_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk259_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))).
% 12.82/4.18  cnf(i_0_1706, plain, (unordered_pair(unordered_pair(esk256_4(X1,X2,X3,X4),esk256_4(X1,X2,X3,X4)),unordered_pair(esk256_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk252_2(X1,X2),X5),unordered_pair(esk252_2(X1,X2),esk252_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk254_3(X1,X2,X3))|~in(X5,esk253_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_2196, plain, (unordered_pair(unordered_pair(esk332_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)),unordered_pair(esk332_4(X1,X2,X3,X4),esk333_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk326_2(X1,X2),esk326_2(X1,X2)),unordered_pair(esk326_2(X1,X2),esk327_2(X1,X2)))=esk324_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2164, plain, (unordered_pair(unordered_pair(esk332_4(X1,X2,X3,X4),esk332_4(X1,X2,X3,X4)),unordered_pair(esk332_4(X1,X2,X3,X4),esk333_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk325_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk330_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2293, plain, (unordered_pair(unordered_pair(esk350_4(X1,X2,X3,X4),esk350_4(X1,X2,X3,X4)),unordered_pair(esk350_4(X1,X2,X3,X4),esk351_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk344_2(X1,X2),esk344_2(X1,X2)),unordered_pair(esk344_2(X1,X2),esk345_2(X1,X2)))=esk342_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2261, plain, (unordered_pair(unordered_pair(esk350_4(X1,X2,X3,X4),esk350_4(X1,X2,X3,X4)),unordered_pair(esk350_4(X1,X2,X3,X4),esk351_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2)),unordered_pair(esk346_2(X1,X2),esk347_2(X1,X2)))=esk343_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,esk348_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2191, plain, (unordered_pair(unordered_pair(esk326_2(X1,X2),esk326_2(X1,X2)),unordered_pair(esk326_2(X1,X2),esk327_2(X1,X2)))=esk324_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk330_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk334_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)))).
% 12.82/4.18  cnf(i_0_613, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk120_3(X2,X3,X1),esk120_3(X2,X3,X1)),unordered_pair(esk120_3(X2,X3,X1),esk122_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk120_3(X2,X3,X1),esk120_3(X2,X3,X1)),unordered_pair(esk120_3(X2,X3,X1),esk121_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 12.82/4.18  cnf(i_0_1756, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk257_4(X1,X2,X3,X4),X5),unordered_pair(esk257_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4))),X2)|in(unordered_pair(unordered_pair(esk249_2(X1,X2),X6),unordered_pair(esk249_2(X1,X2),esk249_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk258_4(X1,X2,X3,X4))|~in(X4,esk254_3(X1,X2,X3))|~in(X6,esk250_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_1702, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk257_4(X1,X2,X3,X4),X5),unordered_pair(esk257_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4))),X2)|in(unordered_pair(unordered_pair(esk252_2(X1,X2),X6),unordered_pair(esk252_2(X1,X2),esk252_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk258_4(X1,X2,X3,X4))|~in(X4,esk254_3(X1,X2,X3))|~in(X6,esk253_2(X1,X2)))).
% 12.82/4.18  cnf(i_0_612, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk121_3(X2,X3,X1),esk122_3(X2,X3,X1)),unordered_pair(esk122_3(X2,X3,X1),esk122_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk120_3(X2,X3,X1),esk120_3(X2,X3,X1)),unordered_pair(esk120_3(X2,X3,X1),esk121_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 12.82/4.18  cnf(i_0_1792, plain, (unordered_pair(unordered_pair(esk248_2(X1,X2),esk248_2(X1,X2)),unordered_pair(esk248_2(X1,X2),esk249_2(X1,X2)))=esk246_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk257_4(X1,X2,X3,X4),X5),unordered_pair(esk257_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk258_4(X1,X2,X3,X4))|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_1738, plain, (unordered_pair(unordered_pair(esk251_2(X1,X2),esk251_2(X1,X2)),unordered_pair(esk251_2(X1,X2),esk252_2(X1,X2)))=esk247_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk257_4(X1,X2,X3,X4),X5),unordered_pair(esk257_4(X1,X2,X3,X4),esk257_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk258_4(X1,X2,X3,X4))|~in(X4,esk254_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2159, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk325_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk330_3(X1,X2,X5))|subset_complement(the_carrier(X1),esk334_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)))).
% 12.82/4.18  cnf(i_0_2192, plain, (unordered_pair(unordered_pair(esk326_2(X1,X2),esk326_2(X1,X2)),unordered_pair(esk326_2(X1,X2),esk327_2(X1,X2)))=esk324_2(X1,X2)|esk334_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)))).
% 12.82/4.18  cnf(i_0_2607, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X5),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk425_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_1755, plain, (in(unordered_pair(unordered_pair(esk249_2(X1,X2),X3),unordered_pair(esk249_2(X1,X2),esk249_2(X1,X2))),X2)|in(esk259_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)),esk254_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),cartesian_product2(X1,X4))|~in(X3,esk250_2(X1,X2))|~in(X6,X5))).
% 12.82/4.18  cnf(i_0_2553, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X5),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|in(esk427_2(X1,X2),X1)|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk426_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2160, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk325_2(X1,X2)|esk334_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)))).
% 12.82/4.18  cnf(i_0_1791, plain, (unordered_pair(unordered_pair(esk248_2(X1,X2),esk248_2(X1,X2)),unordered_pair(esk248_2(X1,X2),esk249_2(X1,X2)))=esk246_2(X1,X2)|in(esk259_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)),esk254_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_1737, plain, (unordered_pair(unordered_pair(esk251_2(X1,X2),esk251_2(X1,X2)),unordered_pair(esk251_2(X1,X2),esk252_2(X1,X2)))=esk247_2(X1,X2)|in(esk259_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)),esk254_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 12.82/4.18  cnf(i_0_1701, plain, (in(unordered_pair(unordered_pair(esk252_2(X1,X2),X3),unordered_pair(esk252_2(X1,X2),esk252_2(X1,X2))),X2)|in(esk259_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)),esk254_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),cartesian_product2(X1,X4))|~in(X3,esk253_2(X1,X2))|~in(X6,X5))).
% 12.82/4.18  cnf(i_0_2290, plain, (unordered_pair(unordered_pair(esk344_2(X1,X2),esk344_2(X1,X2)),unordered_pair(esk344_2(X1,X2),esk345_2(X1,X2)))=esk342_2(X1,X2)|element(esk352_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)),esk348_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)))).
% 12.82/4.18  cnf(i_0_2331, plain, (unordered_pair(unordered_pair(esk356_3(X1,X2,X3),esk356_3(X1,X2,X3)),unordered_pair(esk356_3(X1,X2,X3),esk357_3(X1,X2,X3)))=esk354_3(X1,X2,X3)|unordered_pair(unordered_pair(esk362_4(X1,X2,X3,X4),esk362_4(X1,X2,X3,X4)),unordered_pair(esk362_4(X1,X2,X3,X4),esk363_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2316, plain, (unordered_pair(unordered_pair(esk358_3(X1,X2,X3),esk358_3(X1,X2,X3)),unordered_pair(esk358_3(X1,X2,X3),esk359_3(X1,X2,X3)))=esk355_3(X1,X2,X3)|unordered_pair(unordered_pair(esk362_4(X1,X2,X3,X4),esk362_4(X1,X2,X3,X4)),unordered_pair(esk362_4(X1,X2,X3,X4),esk363_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2330, plain, (unordered_pair(unordered_pair(esk356_3(X1,X2,X3),esk356_3(X1,X2,X3)),unordered_pair(esk356_3(X1,X2,X3),esk357_3(X1,X2,X3)))=esk354_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk362_4(X1,X2,X3,X4)),apply(X3,esk362_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk362_4(X1,X2,X3,X4)),apply(X3,esk363_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2315, plain, (unordered_pair(unordered_pair(esk358_3(X1,X2,X3),esk358_3(X1,X2,X3)),unordered_pair(esk358_3(X1,X2,X3),esk359_3(X1,X2,X3)))=esk355_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk362_4(X1,X2,X3,X4)),apply(X3,esk362_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk362_4(X1,X2,X3,X4)),apply(X3,esk363_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2326, plain, (unordered_pair(unordered_pair(esk362_4(X1,X2,X3,X4),esk362_4(X1,X2,X3,X4)),unordered_pair(esk362_4(X1,X2,X3,X4),esk363_4(X1,X2,X3,X4)))=X4|in(unordered_pair(unordered_pair(apply(X3,esk356_3(X1,X2,X3)),apply(X3,esk356_3(X1,X2,X3))),unordered_pair(apply(X3,esk356_3(X1,X2,X3)),apply(X3,esk357_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2258, plain, (unordered_pair(unordered_pair(esk346_2(X1,X2),esk346_2(X1,X2)),unordered_pair(esk346_2(X1,X2),esk347_2(X1,X2)))=esk343_2(X1,X2)|element(esk352_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)),esk348_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)))).
% 12.82/4.18  cnf(i_0_2193, plain, (unordered_pair(unordered_pair(esk326_2(X1,X2),esk326_2(X1,X2)),unordered_pair(esk326_2(X1,X2),esk327_2(X1,X2)))=esk324_2(X1,X2)|element(esk334_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)))).
% 12.82/4.18  cnf(i_0_2161, plain, (unordered_pair(unordered_pair(esk328_2(X1,X2),esk328_2(X1,X2)),unordered_pair(esk328_2(X1,X2),esk329_2(X1,X2)))=esk325_2(X1,X2)|element(esk334_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)))).
% 12.82/4.18  cnf(i_0_2329, plain, (unordered_pair(unordered_pair(esk356_3(X1,X2,X3),esk356_3(X1,X2,X3)),unordered_pair(esk356_3(X1,X2,X3),esk357_3(X1,X2,X3)))=esk354_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk360_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)))).
% 12.82/4.18  cnf(i_0_2311, plain, (unordered_pair(unordered_pair(esk362_4(X1,X2,X3,X4),esk362_4(X1,X2,X3,X4)),unordered_pair(esk362_4(X1,X2,X3,X4),esk363_4(X1,X2,X3,X4)))=X4|in(unordered_pair(unordered_pair(apply(X3,esk358_3(X1,X2,X3)),apply(X3,esk358_3(X1,X2,X3))),unordered_pair(apply(X3,esk358_3(X1,X2,X3)),apply(X3,esk359_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk360_3(X1,X2,X3)))).
% 12.82/4.18  cnf(i_0_2595, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X5),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,esk428_4(X1,X2,X6,esk427_2(X1,X2)))),X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk425_2(X1,X2))|~in(X6,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2541, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X5),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,esk428_4(X1,X2,X6,esk427_2(X1,X2)))),X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk426_2(X1,X2))|~in(X6,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2601, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk423_2(X1,X2),X5),unordered_pair(esk423_2(X1,X2),esk423_2(X1,X2))),X2)|in(esk428_4(X1,X2,X6,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk425_2(X1,X2))|~in(X6,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2314, plain, (unordered_pair(unordered_pair(esk358_3(X1,X2,X3),esk358_3(X1,X2,X3)),unordered_pair(esk358_3(X1,X2,X3),esk359_3(X1,X2,X3)))=esk355_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk360_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)))).
% 12.82/4.18  cnf(i_0_2547, lemma, (in(unordered_pair(unordered_pair(apply(esk429_2(X1,X2),X3),X4),unordered_pair(apply(esk429_2(X1,X2),X3),apply(esk429_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk424_2(X1,X2),X5),unordered_pair(esk424_2(X1,X2),esk424_2(X1,X2))),X2)|in(esk428_4(X1,X2,X6,esk427_2(X1,X2)),esk427_2(X1,X2))|~relation(X2)|~in(X4,esk430_3(X1,X2,X3))|~in(X5,esk426_2(X1,X2))|~in(X6,esk427_2(X1,X2))|~in(X3,X1))).
% 12.82/4.18  cnf(i_0_2324, plain, (in(unordered_pair(unordered_pair(apply(X1,esk356_3(X2,X3,X1)),apply(X1,esk356_3(X2,X3,X1))),unordered_pair(apply(X1,esk356_3(X2,X3,X1)),apply(X1,esk357_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk360_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)))).
% 12.82/4.18  cnf(i_0_565, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk108_3(X1,X2,X3)),apply(X3,esk108_3(X1,X2,X3))),unordered_pair(apply(X3,esk108_3(X1,X2,X3)),apply(X3,esk109_3(X1,X2,X3)))),X2)|in(unordered_pair(unordered_pair(esk108_3(X1,X2,X3),esk108_3(X1,X2,X3)),unordered_pair(esk108_3(X1,X2,X3),esk109_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))).
% 12.82/4.18  cnf(i_0_2325, plain, (in(unordered_pair(unordered_pair(apply(X1,esk362_4(X2,X3,X1,X4)),apply(X1,esk362_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk362_4(X2,X3,X1,X4)),apply(X1,esk363_4(X2,X3,X1,X4)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk356_3(X2,X3,X1)),apply(X1,esk356_3(X2,X3,X1))),unordered_pair(apply(X1,esk356_3(X2,X3,X1)),apply(X1,esk357_3(X2,X3,X1)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk360_3(X2,X3,X1)))).
% 12.82/4.18  cnf(i_0_2310, plain, (in(unordered_pair(unordered_pair(apply(X1,esk362_4(X2,X3,X1,X4)),apply(X1,esk362_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk362_4(X2,X3,X1,X4)),apply(X1,esk363_4(X2,X3,X1,X4)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk358_3(X2,X3,X1)),apply(X1,esk358_3(X2,X3,X1))),unordered_pair(apply(X1,esk358_3(X2,X3,X1)),apply(X1,esk359_3(X2,X3,X1)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk360_3(X2,X3,X1)))).
% 12.82/4.18  cnf(i_0_2309, plain, (in(unordered_pair(unordered_pair(apply(X1,esk358_3(X2,X3,X1)),apply(X1,esk358_3(X2,X3,X1))),unordered_pair(apply(X1,esk358_3(X2,X3,X1)),apply(X1,esk359_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk360_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)))).
% 12.82/4.18  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 12.82/4.18  # Begin printing tableau
% 12.82/4.18  # Found 5 steps
% 12.82/4.18  cnf(i_0_2950, negated_conjecture, (net_str(esk467_0,esk466_0)), inference(start_rule)).
% 12.82/4.18  cnf(i_0_4249, plain, (net_str(esk467_0,esk466_0)), inference(extension_rule, [i_0_775])).
% 12.82/4.18  cnf(i_0_17284, plain, (~one_sorted_str(esk466_0)), inference(closure_rule, [i_0_2951])).
% 12.82/4.18  cnf(i_0_17282, plain, (rel_str(esk467_0)), inference(extension_rule, [i_0_772])).
% 12.82/4.18  cnf(i_0_17289, plain, (one_sorted_str(esk467_0)), inference(etableau_closure_rule, [i_0_17289, ...])).
% 12.82/4.18  # End printing tableau
% 12.82/4.18  # SZS output end
% 12.82/4.18  # Branches closed with saturation will be marked with an "s"
% 13.16/4.19  # Child (8375) has found a proof.
% 13.16/4.19  
% 13.16/4.19  # Proof search is over...
% 13.16/4.19  # Freeing feature tree
%------------------------------------------------------------------------------