TSTP Solution File: SEU305+2 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEU305+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 : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 09:25:41 EDT 2022

% Result   : Theorem 16.60s 2.95s
% Output   : CNFRefutation 16.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU305+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 20 12:26:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.70/0.88  # No SInE strategy applied
% 0.70/0.88  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S2g
% 0.70/0.88  # and selection function SelectCQArNpEqFirst.
% 0.70/0.88  #
% 0.70/0.88  # Presaturation interreduction done
% 0.70/0.88  # Number of axioms: 1744 Number of unprocessed: 1615
% 0.70/0.88  # Tableaux proof search.
% 0.70/0.88  # APR header successfully linked.
% 0.70/0.88  # Hello from C++
% 0.70/0.88  # The folding up rule is enabled...
% 0.70/0.88  # Local unification is enabled...
% 0.70/0.88  # Any saturation attempts will use folding labels...
% 0.70/0.88  # 1615 beginning clauses after preprocessing and clausification
% 0.70/0.88  # Creating start rules for all 8 conjectures.
% 0.70/0.88  # There are 8 start rule candidates:
% 0.70/0.88  # Found 153 unit axioms.
% 0.70/0.88  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.70/0.88  # 8 start rule tableaux created.
% 0.70/0.88  # 1462 extension rule candidate clauses
% 0.70/0.88  # 153 unit axiom clauses
% 0.70/0.88  
% 0.70/0.88  # Requested 8, 32 cores available to the main process.
% 16.60/2.95  # There were 1 total branch saturation attempts.
% 16.60/2.95  # There were 0 of these attempts blocked.
% 16.60/2.95  # There were 0 deferred branch saturation attempts.
% 16.60/2.95  # There were 0 free duplicated saturations.
% 16.60/2.95  # There were 1 total successful branch saturations.
% 16.60/2.95  # There were 0 successful branch saturations in interreduction.
% 16.60/2.95  # There were 0 successful branch saturations on the branch.
% 16.60/2.95  # There were 1 successful branch saturations after the branch.
% 16.60/2.95  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.60/2.95  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.60/2.95  # Begin clausification derivation
% 16.60/2.95  
% 16.60/2.95  # End clausification derivation
% 16.60/2.95  # Begin listing active clauses obtained from FOF to CNF conversion
% 16.60/2.95  cnf(i_0_1532, negated_conjecture, (join_commutative(esk290_0))).
% 16.60/2.95  cnf(i_0_1531, negated_conjecture, (join_semilatt_str(esk290_0))).
% 16.60/2.95  cnf(i_0_1530, negated_conjecture, (element(esk291_0,the_carrier(esk290_0)))).
% 16.60/2.95  cnf(i_0_1652, lemma, (relation_dom(empty_set)=empty_set)).
% 16.60/2.95  cnf(i_0_413, plain, (join_semilatt_str(esk96_0))).
% 16.60/2.95  cnf(i_0_1529, negated_conjecture, (element(esk292_0,the_carrier(esk290_0)))).
% 16.60/2.95  cnf(i_0_1528, negated_conjecture, (below(esk290_0,esk291_0,esk292_0))).
% 16.60/2.95  cnf(i_0_1527, negated_conjecture, (below(esk290_0,esk292_0,esk291_0))).
% 16.60/2.95  cnf(i_0_1651, lemma, (relation_rng(empty_set)=empty_set)).
% 16.60/2.95  cnf(i_0_441, plain, (ordinal(omega))).
% 16.60/2.95  cnf(i_0_456, plain, (ordinal(empty_set))).
% 16.60/2.95  cnf(i_0_544, plain, (ordinal(esk111_0))).
% 16.60/2.95  cnf(i_0_556, plain, (ordinal(esk115_0))).
% 16.60/2.95  cnf(i_0_560, plain, (ordinal(esk116_0))).
% 16.60/2.95  cnf(i_0_585, plain, (ordinal(esk123_0))).
% 16.60/2.95  cnf(i_0_606, plain, (ordinal(esk130_0))).
% 16.60/2.95  cnf(i_0_443, plain, (epsilon_transitive(omega))).
% 16.60/2.95  cnf(i_0_458, plain, (epsilon_transitive(empty_set))).
% 16.60/2.95  cnf(i_0_546, plain, (epsilon_transitive(esk111_0))).
% 16.60/2.95  cnf(i_0_558, plain, (epsilon_transitive(esk115_0))).
% 16.60/2.95  cnf(i_0_562, plain, (epsilon_transitive(esk116_0))).
% 16.60/2.95  cnf(i_0_587, plain, (epsilon_transitive(esk123_0))).
% 16.60/2.95  cnf(i_0_608, plain, (epsilon_transitive(esk130_0))).
% 16.60/2.95  cnf(i_0_442, plain, (epsilon_connected(omega))).
% 16.60/2.95  cnf(i_0_457, plain, (epsilon_connected(empty_set))).
% 16.60/2.95  cnf(i_0_545, plain, (epsilon_connected(esk111_0))).
% 16.60/2.95  cnf(i_0_557, plain, (epsilon_connected(esk115_0))).
% 16.60/2.95  cnf(i_0_561, plain, (epsilon_connected(esk116_0))).
% 16.60/2.95  cnf(i_0_586, plain, (epsilon_connected(esk123_0))).
% 16.60/2.95  cnf(i_0_607, plain, (epsilon_connected(esk130_0))).
% 16.60/2.95  cnf(i_0_427, plain, (empty(empty_set))).
% 16.60/2.95  cnf(i_0_563, plain, (empty(esk117_0))).
% 16.60/2.95  cnf(i_0_568, plain, (empty(esk118_0))).
% 16.60/2.95  cnf(i_0_571, plain, (empty(esk120_0))).
% 16.60/2.95  cnf(i_0_583, plain, (empty(esk122_0))).
% 16.60/2.95  cnf(i_0_588, plain, (empty(esk123_0))).
% 16.60/2.95  cnf(i_0_548, plain, (finite(esk112_0))).
% 16.60/2.95  cnf(i_0_461, plain, (function(empty_set))).
% 16.60/2.95  cnf(i_0_550, plain, (function(esk113_0))).
% 16.60/2.95  cnf(i_0_565, plain, (function(esk117_0))).
% 16.60/2.95  cnf(i_0_582, plain, (function(esk122_0))).
% 16.60/2.95  cnf(i_0_590, plain, (function(esk123_0))).
% 16.60/2.95  cnf(i_0_604, plain, (function(esk129_0))).
% 16.60/2.95  cnf(i_0_614, plain, (function(esk133_0))).
% 16.60/2.95  cnf(i_0_426, plain, (relation(empty_set))).
% 16.60/2.95  cnf(i_0_551, plain, (relation(esk113_0))).
% 16.60/2.95  cnf(i_0_566, plain, (relation(esk117_0))).
% 16.60/2.95  cnf(i_0_567, plain, (relation(esk118_0))).
% 16.60/2.95  cnf(i_0_584, plain, (relation(esk122_0))).
% 16.60/2.95  cnf(i_0_591, plain, (relation(esk123_0))).
% 16.60/2.95  cnf(i_0_595, plain, (relation(esk125_0))).
% 16.60/2.95  cnf(i_0_605, plain, (relation(esk129_0))).
% 16.60/2.95  cnf(i_0_611, plain, (relation(esk131_0))).
% 16.60/2.95  cnf(i_0_616, plain, (relation(esk133_0))).
% 16.60/2.95  cnf(i_0_543, plain, (natural(esk111_0))).
% 16.60/2.95  cnf(i_0_460, plain, (one_to_one(empty_set))).
% 16.60/2.95  cnf(i_0_564, plain, (one_to_one(esk117_0))).
% 16.60/2.95  cnf(i_0_589, plain, (one_to_one(esk123_0))).
% 16.60/2.95  cnf(i_0_603, plain, (one_to_one(esk129_0))).
% 16.60/2.95  cnf(i_0_411, plain, (meet_semilatt_str(esk94_0))).
% 16.60/2.95  cnf(i_0_559, plain, (being_limit_ordinal(esk116_0))).
% 16.60/2.95  cnf(i_0_414, plain, (latt_str(esk97_0))).
% 16.60/2.95  cnf(i_0_412, plain, (one_sorted_str(esk95_0))).
% 16.60/2.95  cnf(i_0_613, plain, (one_sorted_str(esk132_0))).
% 16.60/2.95  cnf(i_0_425, plain, (relation_empty_yielding(empty_set))).
% 16.60/2.95  cnf(i_0_610, plain, (relation_empty_yielding(esk131_0))).
% 16.60/2.95  cnf(i_0_615, plain, (relation_empty_yielding(esk133_0))).
% 16.60/2.95  cnf(i_0_574, plain, (ordinal(esk121_1(X1)))).
% 16.60/2.95  cnf(i_0_576, plain, (epsilon_transitive(esk121_1(X1)))).
% 16.60/2.95  cnf(i_0_575, plain, (epsilon_connected(esk121_1(X1)))).
% 16.60/2.95  cnf(i_0_276, plain, (being_limit_ordinal(omega))).
% 16.60/2.95  cnf(i_0_126, plain, (set_meet(empty_set)=empty_set)).
% 16.60/2.95  cnf(i_0_580, plain, (empty(esk121_1(X1)))).
% 16.60/2.95  cnf(i_0_597, plain, (empty(esk126_1(X1)))).
% 16.60/2.95  cnf(i_0_572, plain, (finite(esk121_1(X1)))).
% 16.60/2.95  cnf(i_0_634, plain, (subset(X1,X1))).
% 16.60/2.95  cnf(i_0_635, plain, (equipotent(X1,X1))).
% 16.60/2.95  cnf(i_0_433, plain, (preboolean(powerset(X1)))).
% 16.60/2.95  cnf(i_0_435, plain, (cup_closed(powerset(X1)))).
% 16.60/2.95  cnf(i_0_434, plain, (diff_closed(powerset(X1)))).
% 16.60/2.95  cnf(i_0_454, plain, (function(identity_relation(X1)))).
% 16.60/2.95  cnf(i_0_578, plain, (function(esk121_1(X1)))).
% 16.60/2.95  cnf(i_0_1430, lemma, (function(esk281_1(X1)))).
% 16.60/2.95  cnf(i_0_389, plain, (relation(identity_relation(X1)))).
% 16.60/2.95  cnf(i_0_361, plain, (relation(inclusion_relation(X1)))).
% 16.60/2.95  cnf(i_0_579, plain, (relation(esk121_1(X1)))).
% 16.60/2.95  cnf(i_0_1431, lemma, (relation(esk281_1(X1)))).
% 16.60/2.95  cnf(i_0_1535, lemma, (relation(esk293_1(X1)))).
% 16.60/2.95  cnf(i_0_573, plain, (natural(esk121_1(X1)))).
% 16.60/2.95  cnf(i_0_577, plain, (one_to_one(esk121_1(X1)))).
% 16.60/2.95  cnf(i_0_1650, lemma, (antisymmetric(inclusion_relation(X1)))).
% 16.60/2.95  cnf(i_0_1590, lemma, (transitive(inclusion_relation(X1)))).
% 16.60/2.95  cnf(i_0_1550, lemma, (reflexive(inclusion_relation(X1)))).
% 16.60/2.95  cnf(i_0_1551, lemma, (subset(empty_set,X1))).
% 16.60/2.95  cnf(i_0_1673, lemma, (relation_dom(identity_relation(X1))=X1)).
% 16.60/2.95  cnf(i_0_1429, lemma, (relation_dom(esk281_1(X1))=X1)).
% 16.60/2.95  cnf(i_0_1672, lemma, (relation_rng(identity_relation(X1))=X1)).
% 16.60/2.95  cnf(i_0_370, plain, (element(X1,powerset(X1)))).
% 16.60/2.95  cnf(i_0_416, plain, (element(esk99_1(X1),X1))).
% 16.60/2.95  cnf(i_0_1703, lemma, (union(powerset(X1))=X1)).
% 16.60/2.95  cnf(i_0_1619, plain, (set_difference(empty_set,X1)=empty_set)).
% 16.60/2.95  cnf(i_0_1491, plain, (set_union2(X1,empty_set)=X1)).
% 16.60/2.95  cnf(i_0_1586, plain, (set_difference(X1,empty_set)=X1)).
% 16.60/2.95  cnf(i_0_495, plain, (set_union2(X1,X1)=X1)).
% 16.60/2.95  cnf(i_0_1494, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))).
% 16.60/2.95  cnf(i_0_1455, lemma, (in(X1,esk282_1(X1)))).
% 16.60/2.95  cnf(i_0_1714, plain, (in(X1,esk312_1(X1)))).
% 16.60/2.95  cnf(i_0_277, plain, (in(empty_set,omega))).
% 16.60/2.95  cnf(i_0_1534, lemma, (well_orders(esk293_1(X1),X1))).
% 16.60/2.95  cnf(i_0_431, plain, (finite(unordered_pair(X1,X1)))).
% 16.60/2.95  cnf(i_0_553, plain, (function(esk114_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_592, plain, (function(esk124_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_554, plain, (relation(esk114_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_593, plain, (relation(esk124_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_581, plain, (element(esk121_1(X1),powerset(X1)))).
% 16.60/2.95  cnf(i_0_598, plain, (element(esk126_1(X1),powerset(X1)))).
% 16.60/2.95  cnf(i_0_1684, lemma, (subset(X1,set_union2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1571, lemma, (subset(set_difference(X1,X2),X1))).
% 16.60/2.95  cnf(i_0_1546, plain, (set_difference(X1,X1)=empty_set)).
% 16.60/2.95  cnf(i_0_150, plain, (relation_field(inclusion_relation(X1))=X1)).
% 16.60/2.95  cnf(i_0_417, plain, (relation_of2_as_subset(esk100_2(X1,X2),X1,X2))).
% 16.60/2.95  cnf(i_0_552, plain, (quasi_total(esk114_2(X1,X2),X1,X2))).
% 16.60/2.95  cnf(i_0_415, plain, (relation_of2(esk98_2(X1,X2),X1,X2))).
% 16.60/2.95  cnf(i_0_555, plain, (relation_of2(esk114_2(X1,X2),X1,X2))).
% 16.60/2.95  cnf(i_0_594, plain, (relation_of2(esk124_2(X1,X2),X1,X2))).
% 16.60/2.95  cnf(i_0_1582, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))).
% 16.60/2.95  cnf(i_0_1595, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))).
% 16.60/2.95  cnf(i_0_1437, lemma, (in(X1,set_union2(X1,unordered_pair(X1,X1))))).
% 16.60/2.95  cnf(i_0_175, plain, (in(X1,unordered_pair(X2,X1)))).
% 16.60/2.95  cnf(i_0_176, plain, (in(X1,unordered_pair(X1,X2)))).
% 16.60/2.95  cnf(i_0_94, plain, (in(X1,unordered_triple(X2,X3,X1)))).
% 16.60/2.95  cnf(i_0_95, plain, (in(X1,unordered_triple(X2,X1,X3)))).
% 16.60/2.95  cnf(i_0_96, plain, (in(X1,unordered_triple(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_1680, lemma, (pair_first(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X1)).
% 16.60/2.95  cnf(i_0_1679, lemma, (pair_second(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X2)).
% 16.60/2.95  cnf(i_0_31, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 16.60/2.95  cnf(i_0_32, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 16.60/2.95  cnf(i_0_34, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))).
% 16.60/2.95  cnf(i_0_1526, negated_conjecture, (esk292_0!=esk291_0)).
% 16.60/2.95  cnf(i_0_1533, negated_conjecture, (~empty_carrier(esk290_0))).
% 16.60/2.95  cnf(i_0_440, plain, (~empty(omega))).
% 16.60/2.95  cnf(i_0_547, plain, (~empty(esk111_0))).
% 16.60/2.95  cnf(i_0_549, plain, (~empty(esk112_0))).
% 16.60/2.95  cnf(i_0_596, plain, (~empty(esk125_0))).
% 16.60/2.95  cnf(i_0_612, plain, (~empty_carrier(esk132_0))).
% 16.60/2.95  cnf(i_0_599, plain, (~empty(esk127_0))).
% 16.60/2.95  cnf(i_0_609, plain, (~empty(esk130_0))).
% 16.60/2.95  cnf(i_0_500, plain, (~proper_subset(X1,X1))).
% 16.60/2.95  cnf(i_0_436, plain, (~empty(powerset(X1)))).
% 16.60/2.95  cnf(i_0_504, lemma, (unordered_pair(X1,X1)!=empty_set)).
% 16.60/2.95  cnf(i_0_474, plain, (~empty(unordered_pair(X1,X2)))).
% 16.60/2.95  cnf(i_0_152, plain, (~in(X1,empty_set))).
% 16.60/2.95  cnf(i_0_439, plain, (~empty(set_union2(X1,unordered_pair(X1,X1))))).
% 16.60/2.95  cnf(i_0_12, plain, (relation(X1)|~empty(X1))).
% 16.60/2.95  cnf(i_0_399, plain, (join_semilatt_str(X1)|~latt_str(X1))).
% 16.60/2.95  cnf(i_0_400, plain, (meet_semilatt_str(X1)|~latt_str(X1))).
% 16.60/2.95  cnf(i_0_1653, lemma, (~subset(X1,X2)|~proper_subset(X2,X1))).
% 16.60/2.95  cnf(i_0_1678, plain, (~empty(X1)|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_28, plain, (ordinal(X1)|~empty(X1))).
% 16.60/2.95  cnf(i_0_1746, plain, (epred1_0|esk314_0!=empty_set|esk318_0!=empty_set)).
% 16.60/2.95  cnf(i_0_398, plain, (one_sorted_str(X1)|~join_semilatt_str(X1))).
% 16.60/2.95  cnf(i_0_1667, plain, (X1=empty_set|~empty(X1))).
% 16.60/2.95  cnf(i_0_25, plain, (ordinal(X1)|~element(X1,omega))).
% 16.60/2.95  cnf(i_0_1751, plain, (epred1_0|ordinal(esk316_0)|esk314_0!=empty_set)).
% 16.60/2.95  cnf(i_0_11, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_30, plain, (epsilon_transitive(X1)|~empty(X1))).
% 16.60/2.95  cnf(i_0_10, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_29, plain, (epsilon_connected(X1)|~empty(X1))).
% 16.60/2.95  cnf(i_0_6, plain, (finite(X1)|~empty(X1))).
% 16.60/2.95  cnf(i_0_8, plain, (cup_closed(X1)|~preboolean(X1))).
% 16.60/2.95  cnf(i_0_7, plain, (diff_closed(X1)|~preboolean(X1))).
% 16.60/2.95  cnf(i_0_9, plain, (function(X1)|~empty(X1))).
% 16.60/2.95  cnf(i_0_396, plain, (one_sorted_str(X1)|~meet_semilatt_str(X1))).
% 16.60/2.95  cnf(i_0_27, plain, (epsilon_transitive(X1)|~element(X1,omega))).
% 16.60/2.95  cnf(i_0_26, plain, (epsilon_connected(X1)|~element(X1,omega))).
% 16.60/2.95  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_2, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))).
% 16.60/2.95  cnf(i_0_24, plain, (natural(X1)|~element(X1,omega))).
% 16.60/2.95  cnf(i_0_290, plain, (being_limit_ordinal(X1)|union(X1)!=X1)).
% 16.60/2.95  cnf(i_0_569, plain, (empty(X1)|~empty(esk119_1(X1)))).
% 16.60/2.95  cnf(i_0_601, plain, (empty(X1)|~empty(esk128_1(X1)))).
% 16.60/2.95  cnf(i_0_23, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 16.60/2.95  cnf(i_0_19, plain, (preboolean(X1)|~diff_closed(X1)|~cup_closed(X1))).
% 16.60/2.95  cnf(i_0_200, plain, (epsilon_connected(X1)|esk52_1(X1)!=esk51_1(X1))).
% 16.60/2.95  cnf(i_0_103, plain, (function(X1)|esk21_1(X1)!=esk20_1(X1))).
% 16.60/2.95  cnf(i_0_346, plain, (subset(X1,X2)|~proper_subset(X1,X2))).
% 16.60/2.95  cnf(i_0_631, plain, (equipotent(X1,X2)|~are_equipotent(X1,X2))).
% 16.60/2.95  cnf(i_0_1779, plain, (X1=X2|~epred2_3(X3,X2,X1))).
% 16.60/2.95  cnf(i_0_445, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(the_carrier(X1)))).
% 16.60/2.95  cnf(i_0_1594, lemma, (X1=empty_set|~subset(X1,empty_set))).
% 16.60/2.95  cnf(i_0_1774, plain, (X1=X2|~epred2_3(X2,X3,X1))).
% 16.60/2.95  cnf(i_0_14, plain, (natural(X1)|~empty(X1))).
% 16.60/2.95  cnf(i_0_1492, plain, (element(X1,X2)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_291, plain, (union(X1)=X1|~being_limit_ordinal(X1))).
% 16.60/2.95  cnf(i_0_410, plain, (function(the_L_join(X1))|~join_semilatt_str(X1))).
% 16.60/2.95  cnf(i_0_249, plain, (antisymmetric(X1)|~well_ordering(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_248, plain, (connected(X1)|~well_ordering(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_250, plain, (transitive(X1)|~well_ordering(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_247, plain, (well_founded_relation(X1)|~well_ordering(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_617, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(esk134_1(X1)))).
% 16.60/2.95  cnf(i_0_3, plain, (ordinal(X1)|~element(X1,X2)|~ordinal(X2))).
% 16.60/2.95  cnf(i_0_169, plain, (empty(X1)|~empty(X2)|~element(X1,X2))).
% 16.60/2.95  cnf(i_0_251, plain, (reflexive(X1)|~well_ordering(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1224, lemma, (ordinal(X1)|~in(X1,esk258_1(X2)))).
% 16.60/2.95  cnf(i_0_161, plain, (epsilon_transitive(X1)|~subset(esk39_1(X1),X1))).
% 16.60/2.95  cnf(i_0_475, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 16.60/2.95  cnf(i_0_466, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 16.60/2.95  cnf(i_0_600, plain, (finite(esk128_1(X1))|empty(X1))).
% 16.60/2.95  cnf(i_0_506, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1781, plain, (antisymmetric(X1)|~epred3_2(X1,X2)|~antisymmetric(X2))).
% 16.60/2.95  cnf(i_0_1782, plain, (connected(X1)|~epred3_2(X1,X2)|~connected(X2))).
% 16.60/2.95  cnf(i_0_1783, plain, (transitive(X1)|~epred3_2(X1,X2)|~transitive(X2))).
% 16.60/2.95  cnf(i_0_478, plain, (ordinal(union(X1))|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_480, plain, (epsilon_transitive(union(X1))|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_479, plain, (epsilon_connected(union(X1))|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_489, plain, (empty(relation_dom(X1))|~empty(X1))).
% 16.60/2.95  cnf(i_0_1780, plain, (well_founded_relation(X1)|~epred3_2(X1,X2)|~well_founded_relation(X2))).
% 16.60/2.95  cnf(i_0_1784, plain, (reflexive(X1)|~epred3_2(X1,X2)|~reflexive(X2))).
% 16.60/2.95  cnf(i_0_179, plain, (well_founded_relation(X1)|esk44_1(X1)!=empty_set|~relation(X1))).
% 16.60/2.95  cnf(i_0_486, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 16.60/2.95  cnf(i_0_491, plain, (empty(relation_rng(X1))|~empty(X1))).
% 16.60/2.95  cnf(i_0_423, plain, (empty(relation_inverse(X1))|~empty(X1))).
% 16.60/2.95  cnf(i_0_406, plain, (function(the_L_meet(X1))|~meet_semilatt_str(X1))).
% 16.60/2.95  cnf(i_0_101, plain, (function(esk18_1(X1))|~finite(X1))).
% 16.60/2.95  cnf(i_0_1657, lemma, (X1=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 16.60/2.95  cnf(i_0_487, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 16.60/2.95  cnf(i_0_632, plain, (are_equipotent(X1,X2)|~equipotent(X1,X2))).
% 16.60/2.95  cnf(i_0_520, lemma, (antisymmetric(X1)|esk107_1(X1)!=esk106_1(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_488, plain, (relation(relation_dom(X1))|~empty(X1))).
% 16.60/2.95  cnf(i_0_490, plain, (relation(relation_rng(X1))|~empty(X1))).
% 16.60/2.95  cnf(i_0_422, plain, (relation(relation_inverse(X1))|~empty(X1))).
% 16.60/2.95  cnf(i_0_381, plain, (relation(relation_inverse(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_1656, lemma, (X1=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 16.60/2.95  cnf(i_0_527, lemma, (connected(X1)|esk109_1(X1)!=esk108_1(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1661, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_102, plain, (relation(esk18_1(X1))|~finite(X1))).
% 16.60/2.95  cnf(i_0_1621, lemma, (connected(inclusion_relation(X1))|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_1669, lemma, (well_founded_relation(inclusion_relation(X1))|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_1683, lemma, (well_ordering(inclusion_relation(X1))|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_168, plain, (element(X1,X2)|~empty(X2)|~empty(X1))).
% 16.60/2.95  cnf(i_0_1589, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 16.60/2.95  cnf(i_0_1691, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 16.60/2.95  cnf(i_0_100, plain, (relation_rng(esk18_1(X1))=X1|~finite(X1))).
% 16.60/2.95  cnf(i_0_518, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)).
% 16.60/2.95  cnf(i_0_1225, lemma, (in(X1,X2)|~in(X1,esk258_1(X2)))).
% 16.60/2.95  cnf(i_0_711, lemma, (function(esk146_1(X1))|esk145_1(X1)!=esk144_1(X1))).
% 16.60/2.95  cnf(i_0_498, plain, (relation_inverse(relation_inverse(X1))=X1|~relation(X1))).
% 16.60/2.95  cnf(i_0_712, lemma, (relation(esk146_1(X1))|esk145_1(X1)!=esk144_1(X1))).
% 16.60/2.95  cnf(i_0_5, plain, (epsilon_transitive(X1)|~element(X1,X2)|~ordinal(X2))).
% 16.60/2.95  cnf(i_0_4, plain, (epsilon_connected(X1)|~element(X1,X2)|~ordinal(X2))).
% 16.60/2.95  cnf(i_0_1658, lemma, (relation_dom(X1)=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 16.60/2.95  cnf(i_0_1659, lemma, (relation_rng(X1)=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 16.60/2.95  cnf(i_0_1686, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))).
% 16.60/2.95  cnf(i_0_201, plain, (epsilon_connected(X1)|~in(esk51_1(X1),esk52_1(X1)))).
% 16.60/2.95  cnf(i_0_199, plain, (epsilon_connected(X1)|~in(esk52_1(X1),esk51_1(X1)))).
% 16.60/2.95  cnf(i_0_20, plain, (one_to_one(X1)|~empty(X1))).
% 16.60/2.95  cnf(i_0_1588, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 16.60/2.95  cnf(i_0_1743, plain, (epred1_0|esk314_0!=empty_set|esk319_1(X1)!=X1|~in(X1,esk318_0))).
% 16.60/2.95  cnf(i_0_1719, plain, (epred1_0|esk318_0!=empty_set|esk315_1(X1)!=X1|~in(X1,esk314_0))).
% 16.60/2.95  cnf(i_0_1685, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)).
% 16.60/2.95  cnf(i_0_1539, lemma, (esk294_1(X1)=empty_set|function(esk295_1(X1))|empty(X1))).
% 16.60/2.95  cnf(i_0_151, plain, (X1=empty_set|in(esk35_1(X1),X1))).
% 16.60/2.95  cnf(i_0_66, plain, (antisymmetric(X1)|~is_antisymmetric_in(X1,relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_86, plain, (connected(X1)|~is_connected_in(X1,relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_88, plain, (transitive(X1)|~is_transitive_in(X1,relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_1648, lemma, (well_founded_relation(X1)|~is_well_founded_in(X1,relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_13, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 16.60/2.95  cnf(i_0_1098, plain, (ordinal(X1)|esk224_0!=esk223_0|~in(X1,esk225_1(X2)))).
% 16.60/2.95  cnf(i_0_171, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 16.60/2.95  cnf(i_0_1540, lemma, (esk294_1(X1)=empty_set|relation(esk295_1(X1))|empty(X1))).
% 16.60/2.95  cnf(i_0_1696, lemma, (well_ordering(X1)|~well_orders(X1,relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_348, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_1647, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))).
% 16.60/2.95  cnf(i_0_1572, lemma, (relation_rng(relation_inverse(X1))=relation_dom(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_365, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_366, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_424, plain, (finite(set_difference(X1,X2))|~finite(X1))).
% 16.60/2.95  cnf(i_0_1538, lemma, (relation_dom(esk295_1(X1))=X1|esk294_1(X1)=empty_set|empty(X1))).
% 16.60/2.95  cnf(i_0_1573, lemma, (relation_dom(relation_inverse(X1))=relation_rng(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1432, plain, (disjoint(X1,X2)|~disjoint(X2,X1))).
% 16.60/2.95  cnf(i_0_1433, plain, (equipotent(X1,X2)|~equipotent(X2,X1))).
% 16.60/2.95  cnf(i_0_1587, lemma, (~in(X1,X2)|~in(X3,X1)|~in(X2,X3))).
% 16.60/2.95  cnf(i_0_1591, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))).
% 16.60/2.95  cnf(i_0_1555, lemma, (ordinal(X1)|in(esk297_1(X1),X1))).
% 16.60/2.95  cnf(i_0_392, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1))).
% 16.60/2.95  cnf(i_0_394, plain, (relation(relation_rng_restriction(X1,X2))|~relation(X2))).
% 16.60/2.95  cnf(i_0_372, plain, (relation(relation_restriction(X1,X2))|~relation(X1))).
% 16.60/2.95  cnf(i_0_517, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))).
% 16.60/2.95  cnf(i_0_627, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 16.60/2.95  cnf(i_0_43, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 16.60/2.95  cnf(i_0_1579, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))).
% 16.60/2.95  cnf(i_0_1580, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))).
% 16.60/2.95  cnf(i_0_162, plain, (epsilon_transitive(X1)|in(esk39_1(X1),X1))).
% 16.60/2.95  cnf(i_0_1451, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))).
% 16.60/2.95  cnf(i_0_1114, plain, (esk222_0=esk223_0|ordinal(X1)|~in(X1,esk225_1(X2)))).
% 16.60/2.95  cnf(i_0_1106, plain, (esk222_0=esk224_0|ordinal(X1)|~in(X1,esk225_1(X2)))).
% 16.60/2.95  cnf(i_0_1598, lemma, (being_limit_ordinal(X1)|ordinal(esk301_1(X1))|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_203, plain, (epsilon_connected(X1)|in(esk51_1(X1),X1))).
% 16.60/2.95  cnf(i_0_208, plain, (subset(X1,X2)|~in(esk55_2(X1,X2),X2))).
% 16.60/2.95  cnf(i_0_1681, plain, (~in(X1,esk311_2(X2,X3))|~in(X2,X3)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_202, plain, (epsilon_connected(X1)|in(esk52_1(X1),X1))).
% 16.60/2.95  cnf(i_0_1724, plain, (epred1_0|ordinal(esk316_0)|esk315_1(X1)!=X1|~in(X1,esk314_0))).
% 16.60/2.95  cnf(i_0_1715, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))).
% 16.60/2.95  cnf(i_0_1698, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))).
% 16.60/2.95  cnf(i_0_287, plain, (is_antisymmetric_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1602, lemma, (being_limit_ordinal(X1)|ordinal(esk302_1(X1))|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_119, plain, (relation(X1)|in(esk26_1(X1),X1))).
% 16.60/2.95  cnf(i_0_1622, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))).
% 16.60/2.95  cnf(i_0_1513, lemma, (ordinal(X1)|~ordinal(X2)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1456, lemma, (finite(X1)|~subset(X1,X2)|~finite(X2))).
% 16.60/2.95  cnf(i_0_286, plain, (is_connected_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_288, plain, (is_transitive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_289, plain, (is_reflexive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_285, plain, (is_well_founded_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1755, plain, (epred1_0|element(esk314_0,powerset(powerset(empty_set)))|esk318_0!=empty_set)).
% 16.60/2.95  cnf(i_0_1554, lemma, (ordinal(X1)|~subset(esk297_1(X1),X1)|~ordinal(esk297_1(X1)))).
% 16.60/2.95  cnf(i_0_633, plain, (ordinal_subset(X1,X1)|~ordinal(X2)|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_317, plain, (one_to_one(X1)|esk83_1(X1)!=esk82_1(X1)|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_1450, lemma, (subset(relation_dom(X1),X2)|~relation_of2_as_subset(X1,X2,X3))).
% 16.60/2.95  cnf(i_0_212, plain, (is_well_founded_in(X1,X2)|esk57_2(X1,X2)!=empty_set|~relation(X1))).
% 16.60/2.95  cnf(i_0_1449, lemma, (subset(relation_rng(X1),X2)|~relation_of2_as_subset(X1,X3,X2))).
% 16.60/2.95  cnf(i_0_534, lemma, (subset(X1,union(X2))|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1503, lemma, (in(X1,X2)|~epsilon_transitive(X1)|~ordinal(X2)|~proper_subset(X1,X2))).
% 16.60/2.95  cnf(i_0_630, plain, (subset(X1,X2)|~ordinal_subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_483, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1640, lemma, (~element(X1,powerset(X2))|~in(X3,subset_complement(X2,X1))|~in(X3,X1))).
% 16.60/2.95  cnf(i_0_256, plain, (function(esk67_2(X1,X2))|~equipotent(X1,X2))).
% 16.60/2.95  cnf(i_0_257, plain, (relation(esk67_2(X1,X2))|~equipotent(X1,X2))).
% 16.60/2.95  cnf(i_0_255, plain, (one_to_one(esk67_2(X1,X2))|~equipotent(X1,X2))).
% 16.60/2.95  cnf(i_0_1110, plain, (ordinal(esk223_0)|ordinal(X1)|~in(X1,esk225_1(X2)))).
% 16.60/2.95  cnf(i_0_1760, plain, (epred1_0|element(esk314_0,powerset(powerset(empty_set)))|ordinal(esk316_0))).
% 16.60/2.95  cnf(i_0_163, plain, (subset(X1,X2)|~epsilon_transitive(X2)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_628, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 16.60/2.95  cnf(i_0_315, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)).
% 16.60/2.95  cnf(i_0_1670, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))).
% 16.60/2.95  cnf(i_0_1102, plain, (ordinal(esk224_0)|ordinal(X1)|~in(X1,esk225_1(X2)))).
% 16.60/2.95  cnf(i_0_538, lemma, (element(X1,powerset(X2))|~in(esk110_2(X1,X2),X2))).
% 16.60/2.95  cnf(i_0_570, plain, (empty(X1)|element(esk119_1(X1),powerset(X1)))).
% 16.60/2.95  cnf(i_0_602, plain, (empty(X1)|element(esk128_1(X1),powerset(X1)))).
% 16.60/2.95  cnf(i_0_347, plain, (relation_inverse(X1)=function_inverse(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_722, lemma, (relation(esk146_1(X1))|in(esk143_1(X1),X1))).
% 16.60/2.95  cnf(i_0_262, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_233, plain, (is_antisymmetric_in(X1,X2)|esk63_2(X1,X2)!=esk62_2(X1,X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_295, plain, (is_connected_in(X1,X2)|esk77_2(X1,X2)!=esk76_2(X1,X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_18, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))).
% 16.60/2.95  cnf(i_0_1612, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2))))).
% 16.60/2.95  cnf(i_0_344, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))).
% 16.60/2.95  cnf(i_0_467, plain, (function(relation_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_721, lemma, (function(esk146_1(X1))|in(esk143_1(X1),X1))).
% 16.60/2.95  cnf(i_0_1479, lemma, (in(X1,X2)|~relation(X2)|~in(X1,relation_restriction(X2,X3)))).
% 16.60/2.95  cnf(i_0_125, plain, (subset(X1,cartesian_product2(X2,X3))|~relation_of2(X1,X2,X3))).
% 16.60/2.95  cnf(i_0_629, plain, (ordinal_subset(X1,X2)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_1654, lemma, (one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_67, plain, (is_antisymmetric_in(X1,relation_field(X1))|~antisymmetric(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_87, plain, (is_connected_in(X1,relation_field(X1))|~connected(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1466, lemma, (relation_image(X1,relation_dom(X1))=relation_rng(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_124, plain, (relation_of2(X1,X2,X3)|~subset(X1,cartesian_product2(X2,X3)))).
% 16.60/2.95  cnf(i_0_143, plain, (~relation(X1)|~in(X2,fiber(X1,X2)))).
% 16.60/2.95  cnf(i_0_89, plain, (is_transitive_in(X1,relation_field(X1))|~transitive(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_99, plain, (in(relation_dom(esk18_1(X1)),omega)|~finite(X1))).
% 16.60/2.95  cnf(i_0_349, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1649, lemma, (is_well_founded_in(X1,relation_field(X1))|~well_founded_relation(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1695, lemma, (well_orders(X1,relation_field(X1))|~well_ordering(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_420, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 16.60/2.95  cnf(i_0_1597, lemma, (being_limit_ordinal(X1)|in(esk301_1(X1),X1)|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_1570, lemma, (apply(identity_relation(X1),X2)=X2|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_494, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 16.60/2.95  cnf(i_0_492, plain, (finite(set_union2(X1,X2))|~finite(X2)|~finite(X1))).
% 16.60/2.95  cnf(i_0_476, plain, (function(relation_dom_restriction(X1,X2))|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_484, plain, (function(relation_rng_restriction(X1,X2))|~relation(X2)|~function(X2))).
% 16.60/2.95  cnf(i_0_1690, lemma, (subset(relation_dom_restriction(X1,X2),X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_464, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_473, plain, (relation(set_difference(X1,X2))|~relation(X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1543, lemma, (function(esk295_1(X1))|empty(X1)|in(esk294_1(X1),X1))).
% 16.60/2.95  cnf(i_0_1443, lemma, (subset(relation_rng_restriction(X1,X2),X2)|~relation(X2))).
% 16.60/2.95  cnf(i_0_419, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 16.60/2.95  cnf(i_0_493, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 16.60/2.95  cnf(i_0_386, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1522, lemma, (antisymmetric(relation_restriction(X1,X2))|~antisymmetric(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_254, plain, (relation_dom(esk67_2(X1,X2))=X1|~equipotent(X1,X2))).
% 16.60/2.95  cnf(i_0_1517, lemma, (connected(relation_restriction(X1,X2))|~connected(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1519, lemma, (transitive(relation_restriction(X1,X2))|~transitive(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1556, lemma, (well_founded_relation(relation_restriction(X1,X2))|~well_founded_relation(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1560, lemma, (well_ordering(relation_restriction(X1,X2))|~well_ordering(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1544, lemma, (relation(esk295_1(X1))|empty(X1)|in(esk294_1(X1),X1))).
% 16.60/2.95  cnf(i_0_253, plain, (relation_rng(esk67_2(X1,X2))=X2|~equipotent(X1,X2))).
% 16.60/2.95  cnf(i_0_1510, lemma, (reflexive(relation_restriction(X1,X2))|~reflexive(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_429, plain, (relation_empty_yielding(relation_dom_restriction(X1,X2))|~relation_empty_yielding(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1689, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_dom(relation_dom_restriction(X3,X2))))).
% 16.60/2.95  cnf(i_0_618, plain, (empty_carrier(X1)|element(esk134_1(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1))).
% 16.60/2.95  cnf(i_0_403, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 16.60/2.95  cnf(i_0_624, plain, (union_of_subsets(X1,X2)=union(X2)|~element(X2,powerset(powerset(X1))))).
% 16.60/2.95  cnf(i_0_625, plain, (meet_of_subsets(X1,X2)=set_meet(X2)|~element(X2,powerset(powerset(X1))))).
% 16.60/2.95  cnf(i_0_1600, lemma, (~being_limit_ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_1488, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_field(relation_restriction(X3,X2))))).
% 16.60/2.95  cnf(i_0_1441, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_rng(relation_rng_restriction(X2,X3))))).
% 16.60/2.95  cnf(i_0_735, lemma, (ordinal(esk147_1(X1))|~ordinal(X2)|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_1525, lemma, (finite(relation_rng(X1))|~relation(X1)|~function(X1)|~finite(relation_dom(X1)))).
% 16.60/2.95  cnf(i_0_1099, plain, (esk226_2(X1,X2)=X2|esk224_0!=esk223_0|~in(X2,esk225_1(X1)))).
% 16.60/2.95  cnf(i_0_1620, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_324, plain, (meet_absorbing(X1)|empty_carrier(X1)|element(esk84_1(X1),the_carrier(X1))|~latt_str(X1))).
% 16.60/2.95  cnf(i_0_323, plain, (meet_absorbing(X1)|empty_carrier(X1)|element(esk85_1(X1),the_carrier(X1))|~latt_str(X1))).
% 16.60/2.95  cnf(i_0_1642, lemma, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_1223, lemma, (in(X1,esk258_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_210, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_1493, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))).
% 16.60/2.95  cnf(i_0_1655, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))).
% 16.60/2.95  cnf(i_0_1701, lemma, (relation_composition(identity_relation(X1),X2)=relation_dom_restriction(X2,X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1523, lemma, (well_ordering(relation_restriction(X1,X2))|~well_orders(X1,X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1212, lemma, (esk249_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk248_1(X1)))).
% 16.60/2.95  cnf(i_0_282, plain, (subset_complement(X1,X2)=set_difference(X1,X2)|~element(X2,powerset(X1)))).
% 16.60/2.95  cnf(i_0_1643, lemma, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_507, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))).
% 16.60/2.95  cnf(i_0_1203, lemma, (in(X1,cartesian_product2(X2,X3))|~in(X1,esk245_2(X2,X3)))).
% 16.60/2.95  cnf(i_0_246, plain, (well_ordering(X1)|~reflexive(X1)|~well_founded_relation(X1)|~transitive(X1)|~connected(X1)|~antisymmetric(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_137, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))).
% 16.60/2.95  cnf(i_0_209, plain, (subset(X1,X2)|in(esk55_2(X1,X2),X1))).
% 16.60/2.95  cnf(i_0_1682, plain, (in(esk311_2(X1,X2),X2)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_513, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1777, plain, (esk320_3(X1,X2,X3)=X2|~epred2_3(X3,X2,X1))).
% 16.60/2.95  cnf(i_0_1542, lemma, (relation_dom(esk295_1(X1))=X1|empty(X1)|in(esk294_1(X1),X1))).
% 16.60/2.95  cnf(i_0_1592, lemma, (disjoint(X1,X2)|in(esk300_2(X1,X2),X2))).
% 16.60/2.95  cnf(i_0_1480, lemma, (X1=empty_set|relation_inverse_image(X2,X1)!=empty_set|~subset(X1,relation_rng(X2))|~relation(X2))).
% 16.60/2.95  cnf(i_0_312, plain, (one_to_one(X1)|~relation_isomorphism(X2,X3,X1)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_1772, plain, (esk322_3(X1,X2,X3)=X3|~epred2_3(X3,X2,X1))).
% 16.60/2.95  cnf(i_0_155, plain, (in(X1,powerset(X2))|~subset(X1,X2))).
% 16.60/2.95  cnf(i_0_377, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))).
% 16.60/2.95  cnf(i_0_1115, plain, (esk226_2(X1,X2)=X2|esk222_0=esk223_0|~in(X2,esk225_1(X1)))).
% 16.60/2.95  cnf(i_0_1107, plain, (esk226_2(X1,X2)=X2|esk222_0=esk224_0|~in(X2,esk225_1(X1)))).
% 16.60/2.95  cnf(i_0_1752, plain, (epred1_0|element(esk314_0,powerset(powerset(empty_set)))|esk319_1(X1)!=X1|~in(X1,esk318_0))).
% 16.60/2.95  cnf(i_0_292, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1593, lemma, (disjoint(X1,X2)|in(esk300_2(X1,X2),X1))).
% 16.60/2.95  cnf(i_0_156, plain, (subset(X1,X2)|~in(X1,powerset(X2)))).
% 16.60/2.95  cnf(i_0_1716, plain, (epred1_0|esk315_1(X1)!=X1|esk319_1(X2)!=X2|~in(X1,esk314_0)|~in(X2,esk318_0))).
% 16.60/2.95  cnf(i_0_1438, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))).
% 16.60/2.95  cnf(i_0_1213, lemma, (ordinal(esk249_2(X1,X2))|~ordinal(X1)|~in(X2,esk248_1(X1)))).
% 16.60/2.95  cnf(i_0_428, plain, (finite(relation_image(X1,X2))|~relation(X1)|~function(X1)|~finite(X2))).
% 16.60/2.95  cnf(i_0_529, lemma, (connected(X1)|in(esk108_1(X1),relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_1462, lemma, (subset(relation_image(X1,X2),relation_rng(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_516, lemma, (relation(esk105_2(X1,X2))|~equipotent(X1,relation_field(X2))|~well_ordering(X2)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1475, lemma, (subset(relation_inverse_image(X1,X2),relation_dom(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_1111, plain, (esk226_2(X1,X2)=X2|ordinal(esk223_0)|~in(X2,esk225_1(X1)))).
% 16.60/2.95  cnf(i_0_1103, plain, (esk226_2(X1,X2)=X2|ordinal(esk224_0)|~in(X2,esk225_1(X1)))).
% 16.60/2.95  cnf(i_0_528, lemma, (connected(X1)|in(esk109_1(X1),relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_1660, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))).
% 16.60/2.95  cnf(i_0_1778, plain, (ordinal(esk320_3(X1,X2,X3))|~epred2_3(X3,X2,X1))).
% 16.60/2.95  cnf(i_0_1773, plain, (ordinal(esk322_3(X1,X2,X3))|~epred2_3(X3,X2,X1))).
% 16.60/2.95  cnf(i_0_118, plain, (relation(X1)|esk26_1(X1)!=unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))).
% 16.60/2.95  cnf(i_0_270, plain, (X1=omega|~being_limit_ordinal(X1)|~subset(X1,esk72_1(X1))|~ordinal(X1)|~in(empty_set,X1))).
% 16.60/2.95  cnf(i_0_539, lemma, (element(X1,powerset(X2))|in(esk110_2(X1,X2),X1))).
% 16.60/2.95  cnf(i_0_1453, lemma, (in(powerset(X1),esk282_1(X2))|~in(X1,esk282_1(X2)))).
% 16.60/2.95  cnf(i_0_1737, plain, (epred1_0|in(esk315_1(X1),esk314_0)|esk318_0!=empty_set|~in(X1,esk314_0))).
% 16.60/2.95  cnf(i_0_1745, plain, (epred1_0|in(esk319_1(X1),esk318_0)|esk314_0!=empty_set|~in(X1,esk318_0))).
% 16.60/2.95  cnf(i_0_1728, plain, (epred1_0|subset(X1,esk315_1(X1))|esk318_0!=empty_set|~in(X1,esk314_0))).
% 16.60/2.95  cnf(i_0_180, plain, (well_founded_relation(X1)|subset(esk44_1(X1),relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_316, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))).
% 16.60/2.95  cnf(i_0_519, lemma, (in(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_1549, plain, (X1=X2|~in(esk296_2(X1,X2),X2)|~in(esk296_2(X1,X2),X1))).
% 16.60/2.95  cnf(i_0_186, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_1744, plain, (epred1_0|subset(X1,esk319_1(X1))|esk314_0!=empty_set|~in(X1,esk318_0))).
% 16.60/2.95  cnf(i_0_1524, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_orders(X1,X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1497, lemma, (subset(relation_field(relation_restriction(X1,X2)),X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1442, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_502, lemma, (reflexive(X1)|in(esk101_1(X1),relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_187, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_263, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))).
% 16.60/2.95  cnf(i_0_1545, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))).
% 16.60/2.95  cnf(i_0_469, plain, (ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_471, plain, (epsilon_transitive(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_470, plain, (epsilon_connected(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_418, plain, (finite(set_difference(X1,set_difference(X1,X2)))|~finite(X2))).
% 16.60/2.95  cnf(i_0_726, lemma, (unordered_pair(esk143_1(X1),esk143_1(X1))=esk144_1(X1)|function(esk146_1(X1)))).
% 16.60/2.95  cnf(i_0_505, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_178, plain, (well_founded_relation(X1)|~disjoint(fiber(X1,X2),esk44_1(X1))|~relation(X1)|~in(X2,esk44_1(X1)))).
% 16.60/2.95  cnf(i_0_1688, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(X1,relation_dom(relation_dom_restriction(X2,X3))))).
% 16.60/2.95  cnf(i_0_1489, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(X1,relation_field(relation_restriction(X2,X3))))).
% 16.60/2.95  cnf(i_0_1440, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(X1,relation_rng(relation_rng_restriction(X3,X2))))).
% 16.60/2.95  cnf(i_0_388, plain, (element(union_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 16.60/2.95  cnf(i_0_390, plain, (element(meet_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 16.60/2.95  cnf(i_0_727, lemma, (unordered_pair(esk143_1(X1),esk143_1(X1))=esk144_1(X1)|relation(esk146_1(X1)))).
% 16.60/2.95  cnf(i_0_497, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))).
% 16.60/2.95  cnf(i_0_734, lemma, (in(esk147_1(X1),X1)|~ordinal(X2)|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_274, plain, (subset(omega,X1)|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 16.60/2.95  cnf(i_0_622, plain, (relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)|~relation_of2(X3,X1,X2))).
% 16.60/2.95  cnf(i_0_623, plain, (relation_rng_as_subset(X1,X2,X3)=relation_rng(X3)|~relation_of2(X3,X1,X2))).
% 16.60/2.95  cnf(i_0_533, lemma, (X1=unordered_pair(X2,X2)|X1=empty_set|~subset(X1,unordered_pair(X2,X2)))).
% 16.60/2.95  cnf(i_0_716, lemma, (unordered_pair(esk143_1(X1),esk143_1(X1))=esk145_1(X1)|function(esk146_1(X1)))).
% 16.60/2.95  cnf(i_0_717, lemma, (unordered_pair(esk143_1(X1),esk143_1(X1))=esk145_1(X1)|relation(esk146_1(X1)))).
% 16.60/2.95  cnf(i_0_1487, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X1))=relation_restriction(X2,X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1742, plain, (epred1_0|ordinal(esk316_0)|in(esk315_1(X1),esk314_0)|~in(X1,esk314_0))).
% 16.60/2.95  cnf(i_0_1733, plain, (epred1_0|subset(X1,esk315_1(X1))|ordinal(esk316_0)|~in(X1,esk314_0))).
% 16.60/2.95  cnf(i_0_499, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))).
% 16.60/2.95  cnf(i_0_1380, lemma, (function(esk275_1(X1))|esk273_1(X1)!=esk272_1(X1))).
% 16.60/2.95  cnf(i_0_1483, lemma, (relation_dom_restriction(relation_rng_restriction(X1,X2),X1)=relation_restriction(X2,X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1641, lemma, (well_ordering(X1)|~relation_isomorphism(X2,X1,X3)|~well_ordering(X2)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 16.60/2.95  cnf(i_0_98, plain, (finite(relation_rng(X1))|~relation(X1)|~function(X1)|~in(relation_dom(X1),omega))).
% 16.60/2.95  cnf(i_0_1561, lemma, (in(X1,X2)|~ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_1381, lemma, (relation(esk275_1(X1))|esk273_1(X1)!=esk272_1(X1))).
% 16.60/2.95  cnf(i_0_273, plain, (X1=omega|ordinal(esk72_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 16.60/2.95  cnf(i_0_271, plain, (X1=omega|being_limit_ordinal(esk72_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 16.60/2.95  cnf(i_0_36, plain, (ordinal_subset(X1,X2)|ordinal_subset(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_437, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 16.60/2.95  cnf(i_0_1578, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X2,X3)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_1697, lemma, (subset(set_union2(X1,X2),X3)|~subset(X2,X3)|~subset(X1,X3))).
% 16.60/2.95  cnf(i_0_1504, lemma, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1))).
% 16.60/2.95  cnf(i_0_1100, plain, (in(esk226_2(X1,X2),X1)|esk224_0!=esk223_0|~in(X2,esk225_1(X1)))).
% 16.60/2.95  cnf(i_0_1559, lemma, (X1=empty_set|ordinal(esk298_2(X1,X2))|~subset(X1,X2)|~ordinal(X2))).
% 16.60/2.95  cnf(i_0_762, lemma, (relation(esk153_3(X1,X2,X3))|~relation(X3)|~relation(X2)|~function(X3))).
% 16.60/2.95  cnf(i_0_1231, lemma, (esk261_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk260_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_508, lemma, (subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))|~relation(X2))).
% 16.60/2.95  cnf(i_0_1468, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(relation_rng(X1),X3))).
% 16.60/2.95  cnf(i_0_109, 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))).
% 16.60/2.95  cnf(i_0_1476, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(X4,X3))).
% 16.60/2.95  cnf(i_0_1498, lemma, (subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_1011, plain, (esk199_2(X1,X2)=X2|esk195_1(X1)!=esk196_1(X1)|~ordinal(X1)|~in(X2,esk197_1(X1)))).
% 16.60/2.95  cnf(i_0_1013, plain, (esk198_2(X1,X2)=X2|esk195_1(X1)!=esk196_1(X1)|~ordinal(X1)|~in(X2,esk197_1(X1)))).
% 16.60/2.95  cnf(i_0_1712, plain, (in(esk313_2(X1,X2),esk312_1(X1))|~in(X2,esk312_1(X1)))).
% 16.60/2.95  cnf(i_0_408, plain, (relation_of2_as_subset(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))).
% 16.60/2.95  cnf(i_0_1702, lemma, (subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_1603, lemma, (disjoint(X1,X2)|~subset(X1,subset_complement(X3,X2))|~element(X2,powerset(X3))|~element(X1,powerset(X3)))).
% 16.60/2.95  cnf(i_0_642, lemma, (function(esk140_2(X1,X2))|empty(X1)|esk137_2(X1,X2)!=esk136_2(X1,X2)|~relation(X2))).
% 16.60/2.95  cnf(i_0_643, lemma, (relation(esk140_2(X1,X2))|empty(X1)|esk137_2(X1,X2)!=esk136_2(X1,X2)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1444, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))|~relation(X2))).
% 16.60/2.95  cnf(i_0_409, plain, (quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1))).
% 16.60/2.95  cnf(i_0_237, plain, (is_antisymmetric_in(X1,X2)|in(esk62_2(X1,X2),X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1711, plain, (in(X1,esk313_2(X2,X3))|~subset(X1,X3)|~in(X3,esk312_1(X2)))).
% 16.60/2.95  cnf(i_0_154, plain, (X1=powerset(X2)|~subset(esk36_2(X2,X1),X2)|~in(esk36_2(X2,X1),X1))).
% 16.60/2.95  cnf(i_0_1232, lemma, (ordinal(esk261_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk260_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_173, plain, (X1=unordered_pair(X2,X3)|esk42_3(X2,X3,X1)!=X3|~in(esk42_3(X2,X3,X1),X1))).
% 16.60/2.95  cnf(i_0_236, plain, (is_antisymmetric_in(X1,X2)|in(esk63_2(X1,X2),X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_444, plain, (relation(set_difference(X1,set_difference(X1,X2)))|~relation(X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_449, plain, (natural(set_union2(X1,unordered_pair(X1,X1)))|~natural(X1)|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_1379, lemma, (relation_dom(esk275_1(X1))=X1|esk273_1(X1)!=esk272_1(X1))).
% 16.60/2.95  cnf(i_0_320, plain, (one_to_one(X1)|in(esk82_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_297, plain, (is_connected_in(X1,X2)|in(esk76_2(X1,X2),X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_174, plain, (X1=unordered_pair(X2,X3)|esk42_3(X2,X3,X1)!=X2|~in(esk42_3(X2,X3,X1),X1))).
% 16.60/2.95  cnf(i_0_1012, plain, (ordinal(esk199_2(X1,X2))|esk195_1(X1)!=esk196_1(X1)|~ordinal(X1)|~in(X2,esk197_1(X1)))).
% 16.60/2.95  cnf(i_0_1201, lemma, (in(esk246_3(X1,X2,X3),X1)|~in(X3,esk245_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1596, lemma, (being_limit_ordinal(X1)|~ordinal(X1)|~in(set_union2(esk301_1(X1),unordered_pair(esk301_1(X1),esk301_1(X1))),X1))).
% 16.60/2.95  cnf(i_0_296, plain, (is_connected_in(X1,X2)|in(esk77_2(X1,X2),X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_382, plain, (element(relation_dom_as_subset(X1,X2,X3),powerset(X1))|~relation_of2(X3,X1,X2))).
% 16.60/2.95  cnf(i_0_387, plain, (element(relation_rng_as_subset(X1,X2,X3),powerset(X2))|~relation_of2(X3,X1,X2))).
% 16.60/2.95  cnf(i_0_1116, plain, (esk222_0=esk223_0|in(esk226_2(X1,X2),X1)|~in(X2,esk225_1(X1)))).
% 16.60/2.95  cnf(i_0_1108, plain, (esk222_0=esk224_0|in(esk226_2(X1,X2),X1)|~in(X2,esk225_1(X1)))).
% 16.60/2.95  cnf(i_0_319, plain, (one_to_one(X1)|in(esk83_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_337, plain, (is_transitive_in(X1,X2)|in(esk90_2(X1,X2),X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1625, lemma, (epred3_2(X1,X2)|~relation_isomorphism(X2,X1,X3)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 16.60/2.95  cnf(i_0_536, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))).
% 16.60/2.95  cnf(i_0_537, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))).
% 16.60/2.95  cnf(i_0_336, plain, (is_transitive_in(X1,X2)|in(esk91_2(X1,X2),X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_393, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))).
% 16.60/2.95  cnf(i_0_335, plain, (is_transitive_in(X1,X2)|in(esk92_2(X1,X2),X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_122, plain, (is_reflexive_in(X1,X2)|in(esk27_2(X1,X2),X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_213, plain, (is_well_founded_in(X1,X2)|subset(esk57_2(X1,X2),X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1518, lemma, (X1=X2|in(X1,X2)|in(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_1428, lemma, (apply(esk281_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_243, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_1748, plain, (epred1_0|in(set_union2(esk316_0,unordered_pair(esk316_0,esk316_0)),omega)|esk314_0!=empty_set)).
% 16.60/2.95  cnf(i_0_220, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))).
% 16.60/2.95  cnf(i_0_108, plain, (X1=empty_set|X2=empty_set|~quasi_total(X2,X1,empty_set)|~relation_of2_as_subset(X2,X1,empty_set))).
% 16.60/2.95  cnf(i_0_177, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X3,X2)))).
% 16.60/2.95  cnf(i_0_1454, lemma, (in(X1,esk282_1(X2))|~subset(X1,X3)|~in(X3,esk282_1(X2)))).
% 16.60/2.95  cnf(i_0_1713, plain, (in(X1,esk312_1(X2))|~subset(X1,X3)|~in(X3,esk312_1(X2)))).
% 16.60/2.95  cnf(i_0_1112, plain, (ordinal(esk223_0)|in(esk226_2(X1,X2),X1)|~in(X2,esk225_1(X1)))).
% 16.60/2.95  cnf(i_0_1104, plain, (ordinal(esk224_0)|in(esk226_2(X1,X2),X1)|~in(X2,esk225_1(X1)))).
% 16.60/2.95  cnf(i_0_1521, lemma, (subset(relation_dom(X1),relation_dom(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1446, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))).
% 16.60/2.95  cnf(i_0_953, plain, (esk191_3(X1,X2,X3)=X3|esk185_1(X1)!=esk184_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1520, lemma, (subset(relation_rng(X1),relation_rng(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_515, lemma, (well_orders(esk105_2(X1,X2),X1)|~equipotent(X1,relation_field(X2))|~well_ordering(X2)|~relation(X2))).
% 16.60/2.95  cnf(i_0_314, plain, (relation_field(X1)=relation_dom(X2)|~relation_isomorphism(X1,X3,X2)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X2))).
% 16.60/2.95  cnf(i_0_1445, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))).
% 16.60/2.95  cnf(i_0_404, plain, (relation_of2_as_subset(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))).
% 16.60/2.95  cnf(i_0_405, plain, (quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1))).
% 16.60/2.95  cnf(i_0_1581, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_ordering(X1)|~subset(X2,relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_1563, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))).
% 16.60/2.95  cnf(i_0_1470, lemma, (relation_rng(relation_composition(X1,X2))=relation_image(X2,relation_rng(X1))|~relation(X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_313, plain, (relation_rng(X1)=relation_field(X2)|~relation_isomorphism(X3,X2,X1)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_211, plain, (is_well_founded_in(X1,X2)|~disjoint(fiber(X1,X3),esk57_2(X1,X2))|~relation(X1)|~in(X3,esk57_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_111, plain, (X1=empty_set|quasi_total(X2,X3,X1)|relation_dom_as_subset(X3,X1,X2)!=X3|~relation_of2_as_subset(X2,X3,X1))).
% 16.60/2.95  cnf(i_0_1457, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X3))=relation_dom_restriction(relation_rng_restriction(X1,X2),X3)|~relation(X2))).
% 16.60/2.95  cnf(i_0_198, 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)))).
% 16.60/2.95  cnf(i_0_197, 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)))).
% 16.60/2.95  cnf(i_0_354, 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)))).
% 16.60/2.95  cnf(i_0_1452, lemma, (are_equipotent(X1,esk282_1(X2))|in(X1,esk282_1(X2))|~subset(X1,esk282_1(X2)))).
% 16.60/2.95  cnf(i_0_131, plain, (X1=empty_set|in(X2,set_meet(X1))|~in(X2,esk28_3(X1,set_meet(X1),X2)))).
% 16.60/2.95  cnf(i_0_284, 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))).
% 16.60/2.95  cnf(i_0_1496, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 16.60/2.95  cnf(i_0_1710, plain, (are_equipotent(X1,esk312_1(X2))|in(X1,esk312_1(X2))|~subset(X1,esk312_1(X2)))).
% 16.60/2.95  cnf(i_0_272, plain, (X1=omega|in(empty_set,esk72_1(X1))|~being_limit_ordinal(X1)|~ordinal(X1)|~in(empty_set,X1))).
% 16.60/2.95  cnf(i_0_1558, lemma, (X1=empty_set|in(esk298_2(X1,X2),X1)|~subset(X1,X2)|~ordinal(X2))).
% 16.60/2.95  cnf(i_0_1404, lemma, (function(esk275_1(X1))|in(esk271_1(X1),X1))).
% 16.60/2.95  cnf(i_0_245, plain, (in(X1,esk64_3(X2,union(X2),X1))|~in(X1,union(X2)))).
% 16.60/2.95  cnf(i_0_244, plain, (in(esk64_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
% 16.60/2.95  cnf(i_0_1552, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 16.60/2.95  cnf(i_0_1553, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 16.60/2.95  cnf(i_0_1495, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 16.60/2.95  cnf(i_0_135, plain, (X1=unordered_pair(X2,X2)|esk31_2(X2,X1)!=X2|~in(esk31_2(X2,X1),X1))).
% 16.60/2.95  cnf(i_0_1405, lemma, (relation(esk275_1(X1))|in(esk271_1(X1),X1))).
% 16.60/2.95  cnf(i_0_626, plain, (subset_difference(X1,X2,X3)=set_difference(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 16.60/2.95  cnf(i_0_1605, lemma, (subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1))|~relation(X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_222, plain, (apply(X1,X2)=empty_set|in(X2,relation_dom(X1))|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_1478, lemma, (in(X1,cartesian_product2(X2,X2))|~relation(X3)|~in(X1,relation_restriction(X3,X2)))).
% 16.60/2.95  cnf(i_0_1230, lemma, (in(esk261_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk260_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1459, lemma, (in(esk283_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 16.60/2.95  cnf(i_0_1472, lemma, (in(esk284_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 16.60/2.95  cnf(i_0_1606, lemma, (subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))|~relation(X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1463, lemma, (subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_1754, plain, (epred1_0|element(esk314_0,powerset(powerset(empty_set)))|in(esk319_1(X1),esk318_0)|~in(X1,esk318_0))).
% 16.60/2.95  cnf(i_0_1753, plain, (epred1_0|subset(X1,esk319_1(X1))|element(esk314_0,powerset(powerset(empty_set)))|~in(X1,esk318_0))).
% 16.60/2.95  cnf(i_0_367, 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)))).
% 16.60/2.95  cnf(i_0_299, plain, (set_difference(X1,set_difference(X1,cartesian_product2(X2,X2)))=relation_restriction(X1,X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_110, plain, (relation_dom_as_subset(empty_set,X1,X2)=empty_set|~quasi_total(X2,empty_set,X1)|~relation_of2_as_subset(X2,empty_set,X1))).
% 16.60/2.95  cnf(i_0_936, plain, (in(esk182_2(X1,X2),X1)|esk180_1(X1)!=esk179_1(X1)|~in(X2,esk181_1(X1)))).
% 16.60/2.95  cnf(i_0_1097, plain, (in(X1,esk225_1(X2))|esk224_0!=esk223_0|~ordinal(X1)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_391, plain, (element(subset_difference(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 16.60/2.95  cnf(i_0_107, plain, (X1=empty_set|quasi_total(empty_set,X1,empty_set)|~relation_of2_as_subset(empty_set,X1,empty_set))).
% 16.60/2.95  cnf(i_0_375, 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)))).
% 16.60/2.95  cnf(i_0_1747, plain, (epred1_0|element(esk318_0,powerset(powerset(set_union2(esk316_0,unordered_pair(esk316_0,esk316_0)))))|esk314_0!=empty_set)).
% 16.60/2.95  cnf(i_0_733, lemma, (ordinal_subset(esk147_1(X1),X2)|~ordinal(X3)|~ordinal(X2)|~in(X3,X1)|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_242, plain, (X1=union(X2)|~in(esk65_2(X2,X1),X3)|~in(esk65_2(X2,X1),X1)|~in(X3,X2))).
% 16.60/2.95  cnf(i_0_1198, lemma, (empty(X1)|in(X2,cartesian_product2(X1,X3))|~relation(X4)|~in(X2,esk240_3(X1,X4,X3)))).
% 16.60/2.95  cnf(i_0_710, lemma, (in(X1,X2)|esk145_1(X2)!=esk144_1(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk146_1(X2)))).
% 16.60/2.95  cnf(i_0_1403, lemma, (relation_dom(esk275_1(X1))=X1|in(esk271_1(X1),X1))).
% 16.60/2.95  cnf(i_0_1486, lemma, (X1=empty_set|in(esk285_2(X2,X1),X1)|~finite(X2)|~element(X1,powerset(powerset(X2))))).
% 16.60/2.95  cnf(i_0_1604, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))).
% 16.60/2.95  cnf(i_0_147, plain, (inclusion_relation(relation_field(X1))=X1|in(esk33_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_1505, lemma, (subset(fiber(relation_restriction(X1,X2),X3),fiber(X1,X3))|~relation(X1))).
% 16.60/2.95  cnf(i_0_114, plain, (X1=X2|esk22_2(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1)!=X1)).
% 16.60/2.95  cnf(i_0_41, plain, (X1=X2|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),identity_relation(X3)))).
% 16.60/2.95  cnf(i_0_1734, plain, (epred1_0|in(esk315_1(X1),esk314_0)|esk319_1(X2)!=X2|~in(X1,esk314_0)|~in(X2,esk318_0))).
% 16.60/2.95  cnf(i_0_146, plain, (inclusion_relation(relation_field(X1))=X1|in(esk34_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_698, lemma, (esk138_2(X1,X2)=esk135_2(X1,X2)|function(esk140_2(X1,X2))|empty(X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1501, lemma, (in(X1,relation_dom(X2))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(X1,relation_dom(relation_composition(X2,X3))))).
% 16.60/2.95  cnf(i_0_91, plain, (X1=unordered_triple(X2,X3,X4)|esk17_4(X2,X3,X4,X1)!=X4|~in(esk17_4(X2,X3,X4,X1),X1))).
% 16.60/2.95  cnf(i_0_92, plain, (X1=unordered_triple(X2,X3,X4)|esk17_4(X2,X3,X4,X1)!=X3|~in(esk17_4(X2,X3,X4,X1),X1))).
% 16.60/2.95  cnf(i_0_699, lemma, (esk138_2(X1,X2)=esk135_2(X1,X2)|relation(esk140_2(X1,X2))|empty(X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_158, plain, (X1=X2|esk38_2(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),X1)!=X1)).
% 16.60/2.95  cnf(i_0_1718, plain, (epred1_0|in(esk319_1(X1),esk318_0)|esk315_1(X2)!=X2|~in(X2,esk314_0)|~in(X1,esk318_0))).
% 16.60/2.95  cnf(i_0_1725, plain, (epred1_0|subset(X1,esk315_1(X1))|esk319_1(X2)!=X2|~in(X1,esk314_0)|~in(X2,esk318_0))).
% 16.60/2.95  cnf(i_0_1717, plain, (epred1_0|subset(X1,esk319_1(X1))|esk315_1(X2)!=X2|~in(X2,esk314_0)|~in(X1,esk318_0))).
% 16.60/2.95  cnf(i_0_1566, lemma, (identity_relation(relation_dom(X1))=X1|apply(X1,esk299_2(relation_dom(X1),X1))!=esk299_2(relation_dom(X1),X1)|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_666, lemma, (esk139_2(X1,X2)=esk135_2(X1,X2)|function(esk140_2(X1,X2))|empty(X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_93, plain, (X1=unordered_triple(X2,X3,X4)|esk17_4(X2,X3,X4,X1)!=X2|~in(esk17_4(X2,X3,X4,X1),X1))).
% 16.60/2.95  cnf(i_0_1481, lemma, (subset(relation_inverse_image(X1,X2),relation_inverse_image(X1,X3))|~subset(X2,X3)|~relation(X1))).
% 16.60/2.95  cnf(i_0_184, plain, (X1=set_union2(X2,X3)|~in(esk45_3(X2,X3,X1),X1)|~in(esk45_3(X2,X3,X1),X3))).
% 16.60/2.95  cnf(i_0_667, lemma, (esk139_2(X1,X2)=esk135_2(X1,X2)|relation(esk140_2(X1,X2))|empty(X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1467, lemma, (relation_image(X1,relation_inverse_image(X1,X2))=X2|~subset(X2,relation_rng(X1))|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_1611, lemma, (relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~subset(relation_rng(X1),relation_dom(X2))|~relation(X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1614, lemma, (relation_rng(relation_composition(X1,X2))=relation_rng(X2)|~subset(relation_dom(X2),relation_rng(X1))|~relation(X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1113, plain, (esk222_0=esk223_0|in(X1,esk225_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_942, plain, (in(esk182_2(X1,X2),X1)|in(esk178_1(X1),X1)|~in(X2,esk181_1(X1)))).
% 16.60/2.95  cnf(i_0_185, plain, (X1=set_union2(X2,X3)|~in(esk45_3(X2,X3,X1),X1)|~in(esk45_3(X2,X3,X1),X2))).
% 16.60/2.95  cnf(i_0_1141, plain, (esk238_3(X1,X2,X3)=X3|esk234_2(X1,X2)!=esk233_2(X1,X2)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_252, plain, (equipotent(relation_dom(X1),relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_1105, plain, (esk222_0=esk224_0|in(X1,esk225_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_112, plain, (relation_dom_as_subset(X1,X2,X3)=X1|X2=empty_set|~quasi_total(X3,X1,X2)|~relation_of2_as_subset(X3,X1,X2))).
% 16.60/2.95  cnf(i_0_1109, plain, (ordinal(esk223_0)|in(X1,esk225_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1699, lemma, (set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2))=relation_dom(relation_dom_restriction(X1,X2))|~relation(X1))).
% 16.60/2.95  cnf(i_0_1693, lemma, (X1=apply(X2,X3)|~relation(X2)|~function(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 16.60/2.95  cnf(i_0_1677, lemma, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(identity_relation(X2),X3)))).
% 16.60/2.95  cnf(i_0_1564, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)))).
% 16.60/2.95  cnf(i_0_1565, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))).
% 16.60/2.95  cnf(i_0_1447, lemma, (set_difference(relation_rng(X1),set_difference(relation_rng(X1),X2))=relation_rng(relation_rng_restriction(X2,X1))|~relation(X1))).
% 16.60/2.95  cnf(i_0_1101, plain, (ordinal(esk224_0)|in(X1,esk225_1(X2))|~ordinal(X1)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1448, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))).
% 16.60/2.95  cnf(i_0_1214, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk248_1(X2)))).
% 16.60/2.95  cnf(i_0_318, plain, (apply(X1,esk83_1(X1))=apply(X1,esk82_1(X1))|one_to_one(X1)|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_674, lemma, (function(esk140_2(X1,X2))|empty(X1)|in(esk135_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1490, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))).
% 16.60/2.95  cnf(i_0_1618, lemma, (relation_isomorphism(X1,X2,function_inverse(X3))|~relation_isomorphism(X2,X1,X3)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 16.60/2.95  cnf(i_0_219, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X3)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1465, lemma, (subset(X1,relation_inverse_image(X2,relation_image(X2,X1)))|~subset(X1,relation_dom(X2))|~relation(X2))).
% 16.60/2.95  cnf(i_0_380, 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)))).
% 16.60/2.95  cnf(i_0_675, lemma, (relation(esk140_2(X1,X2))|empty(X1)|in(esk135_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1477, lemma, (in(X1,relation_restriction(X2,X3))|~relation(X2)|~in(X1,cartesian_product2(X3,X3))|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_526, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk108_1(X1),esk108_1(X1)),unordered_pair(esk108_1(X1),esk109_1(X1))),X1))).
% 16.60/2.95  cnf(i_0_182, plain, (X1=empty_set|in(esk43_2(X2,X1),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 16.60/2.95  cnf(i_0_1750, plain, (X1=empty_set|epred1_0|in(esk317_1(X1),X1)|esk314_0!=empty_set|~element(X1,powerset(powerset(esk316_0)))|~in(esk316_0,omega))).
% 16.60/2.95  cnf(i_0_1687, lemma, (in(X1,relation_dom(relation_dom_restriction(X2,X3)))|~relation(X2)|~in(X1,relation_dom(X2))|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_1439, lemma, (in(X1,relation_rng(relation_rng_restriction(X2,X3)))|~relation(X3)|~in(X1,relation_rng(X3))|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_196, plain, (in(esk46_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))).
% 16.60/2.95  cnf(i_0_525, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk108_1(X1),esk109_1(X1)),unordered_pair(esk109_1(X1),esk109_1(X1))),X1))).
% 16.60/2.95  cnf(i_0_509, lemma, (transitive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk102_1(X1),esk102_1(X1)),unordered_pair(esk102_1(X1),esk104_1(X1))),X1))).
% 16.60/2.95  cnf(i_0_501, lemma, (reflexive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk101_1(X1),esk101_1(X1)),unordered_pair(esk101_1(X1),esk101_1(X1))),X1))).
% 16.60/2.95  cnf(i_0_73, plain, (in(X1,relation_dom(X2))|~relation(X2)|~function(X2)|~in(X1,relation_inverse_image(X2,X3)))).
% 16.60/2.95  cnf(i_0_1674, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,X2))).
% 16.60/2.95  cnf(i_0_1461, lemma, (in(esk283_3(X1,X2,X3),relation_dom(X3))|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 16.60/2.95  cnf(i_0_1474, lemma, (in(esk284_3(X1,X2,X3),relation_rng(X3))|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 16.60/2.95  cnf(i_0_195, plain, (in(esk47_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1671, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,relation_dom(relation_dom_restriction(X1,X2))))).
% 16.60/2.95  cnf(i_0_129, plain, (X1=set_meet(X2)|X2=empty_set|~in(esk29_2(X2,X1),esk30_2(X2,X1))|~in(esk29_2(X2,X1),X1))).
% 16.60/2.95  cnf(i_0_951, plain, (in(esk192_3(X1,X2,X3),X1)|esk185_1(X1)!=esk184_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_709, lemma, (X1=unordered_pair(X2,X2)|esk145_1(X3)!=esk144_1(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk146_1(X3)))).
% 16.60/2.95  cnf(i_0_1001, plain, (esk191_3(X1,X2,X3)=X3|esk183_1(X1)=esk184_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_977, plain, (esk191_3(X1,X2,X3)=X3|esk183_1(X1)=esk185_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1562, lemma, (ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_524, lemma, (subset(X1,set_difference(X2,unordered_pair(X3,X3)))|in(X3,X1)|~subset(X1,X2))).
% 16.60/2.95  cnf(i_0_1567, lemma, (identity_relation(relation_dom(X1))=X1|in(esk299_2(relation_dom(X1),X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_1757, plain, (epred1_0|element(esk314_0,powerset(powerset(empty_set)))|in(set_union2(esk316_0,unordered_pair(esk316_0,esk316_0)),omega))).
% 16.60/2.95  cnf(i_0_133, plain, (X1=empty_set|in(X2,X3)|~in(X2,set_meet(X1))|~in(X3,X1))).
% 16.60/2.95  cnf(i_0_1227, lemma, (in(relation_image(X1,X2),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk259_3(X4,X3,X1)))).
% 16.60/2.95  cnf(i_0_261, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_620, 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)))).
% 16.60/2.95  cnf(i_0_1537, lemma, (esk294_1(X1)=empty_set|in(apply(esk295_1(X1),X2),X2)|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_322, plain, (meet_absorbing(X1)|empty_carrier(X1)|join(X1,meet(X1,esk84_1(X1),esk85_1(X1)),esk85_1(X1))!=esk85_1(X1)|~latt_str(X1))).
% 16.60/2.95  cnf(i_0_132, plain, (X1=empty_set|in(esk28_3(X1,set_meet(X1),X2),X1)|in(X2,set_meet(X1)))).
% 16.60/2.95  cnf(i_0_1623, lemma, (disjoint(X1,X2)|in(esk303_2(X1,X2),set_difference(X1,set_difference(X1,X2))))).
% 16.60/2.95  cnf(i_0_188, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))).
% 16.60/2.95  cnf(i_0_1139, plain, (esk239_3(X1,X2,X3)=X3|esk234_2(X1,X2)!=esk233_2(X1,X2)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_934, plain, (in(unordered_pair(X1,X1),esk181_1(X2))|esk180_1(X2)!=esk179_1(X2)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1624, lemma, (X1=empty_set|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))).
% 16.60/2.95  cnf(i_0_1721, plain, (epred1_0|in(set_union2(esk316_0,unordered_pair(esk316_0,esk316_0)),omega)|esk315_1(X1)!=X1|~in(X1,esk314_0))).
% 16.60/2.95  cnf(i_0_935, plain, (unordered_pair(esk182_2(X1,X2),esk182_2(X1,X2))=X2|esk180_1(X1)!=esk179_1(X1)|~in(X2,esk181_1(X1)))).
% 16.60/2.95  cnf(i_0_1228, lemma, (in(X1,powerset(relation_dom(X2)))|~relation(X2)|~function(X2)|~element(X3,powerset(powerset(X4)))|~in(X1,esk259_3(X4,X3,X2)))).
% 16.60/2.95  cnf(i_0_1140, plain, (ordinal(esk239_3(X1,X2,X3))|esk234_2(X1,X2)!=esk233_2(X1,X2)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_134, plain, (esk31_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk31_2(X1,X2),X2))).
% 16.60/2.95  cnf(i_0_1601, lemma, (set_union2(esk302_1(X1),unordered_pair(esk302_1(X1),esk302_1(X1)))=X1|being_limit_ordinal(X1)|~ordinal(X1))).
% 16.60/2.95  cnf(i_0_1557, lemma, (X1=empty_set|ordinal_subset(esk298_2(X1,X2),X3)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X3)|~in(X3,X1))).
% 16.60/2.95  cnf(i_0_989, plain, (esk191_3(X1,X2,X3)=X3|in(esk186_1(X1),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_965, plain, (esk191_3(X1,X2,X3)=X3|in(esk188_1(X1),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_78, plain, (in(esk11_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_image(X1,X2)))).
% 16.60/2.95  cnf(i_0_1548, plain, (X1=X2|in(esk296_2(X1,X2),X1)|in(esk296_2(X1,X2),X2))).
% 16.60/2.95  cnf(i_0_1705, lemma, (quasi_total(X1,empty_set,X2)|~quasi_total(X1,empty_set,X3)|~relation_of2_as_subset(X1,empty_set,X3)|~subset(X3,X2)|~function(X1))).
% 16.60/2.95  cnf(i_0_1509, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|in(esk286_3(X2,X1,X3),X1)|~relation_of2_as_subset(X3,X1,X2))).
% 16.60/2.95  cnf(i_0_1516, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|in(esk288_3(X1,X2,X3),X2)|~relation_of2_as_subset(X3,X1,X2))).
% 16.60/2.95  cnf(i_0_215, plain, (X1=empty_set|in(esk56_3(X2,X3,X1),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 16.60/2.95  cnf(i_0_84, plain, (in(esk14_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_inverse_image(X1,X2)))).
% 16.60/2.95  cnf(i_0_1464, lemma, (relation_image(X1,set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2)))=relation_image(X1,X2)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1222, lemma, (in(X1,cartesian_product2(X2,X2))|~relation(X3)|~relation(X4)|~function(X3)|~in(X1,esk255_3(X2,X4,X3)))).
% 16.60/2.95  cnf(i_0_153, plain, (X1=powerset(X2)|subset(esk36_2(X2,X1),X2)|in(esk36_2(X2,X1),X1))).
% 16.60/2.95  cnf(i_0_42, plain, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),identity_relation(X2)))).
% 16.60/2.95  cnf(i_0_1177, plain, (esk235_2(X1,X2)=esk233_2(X1,X2)|esk238_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1153, plain, (esk236_2(X1,X2)=esk234_2(X1,X2)|esk238_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1599, lemma, (in(set_union2(X1,unordered_pair(X1,X1)),X2)|~being_limit_ordinal(X2)|~ordinal(X2)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1736, plain, (epred1_0|in(esk319_1(X1),esk318_0)|in(esk315_1(X2),esk314_0)|~in(X2,esk314_0)|~in(X1,esk318_0))).
% 16.60/2.95  cnf(i_0_240, plain, (X1=union(X2)|in(esk66_2(X2,X1),X2)|in(esk65_2(X2,X1),X1))).
% 16.60/2.95  cnf(i_0_72, plain, (in(apply(X1,X2),X3)|~relation(X1)|~function(X1)|~in(X2,relation_inverse_image(X1,X3)))).
% 16.60/2.95  cnf(i_0_1500, lemma, (in(apply(X1,X2),relation_dom(X3))|~relation(X3)|~relation(X1)|~function(X3)|~function(X1)|~in(X2,relation_dom(relation_composition(X1,X3))))).
% 16.60/2.95  cnf(i_0_760, lemma, (in(X1,X2)|~relation(X3)|~relation(X4)|~function(X3)|~in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),esk153_3(X2,X4,X3)))).
% 16.60/2.95  cnf(i_0_241, plain, (X1=union(X2)|in(esk65_2(X2,X1),esk66_2(X2,X1))|in(esk65_2(X2,X1),X1))).
% 16.60/2.95  cnf(i_0_1646, lemma, (apply(X1,apply(function_inverse(X1),X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 16.60/2.95  cnf(i_0_1645, lemma, (apply(relation_composition(function_inverse(X1),X1),X2)=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 16.60/2.95  cnf(i_0_1417, lemma, (X1=empty_set|in(esk280_2(X2,X1),X1)|esk278_0!=empty_set|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega))).
% 16.60/2.95  cnf(i_0_268, plain, (apply(X1,esk69_3(X1,relation_rng(X1),X2))=X2|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 16.60/2.95  cnf(i_0_1756, plain, (epred1_0|element(esk318_0,powerset(powerset(set_union2(esk316_0,unordered_pair(esk316_0,esk316_0)))))|element(esk314_0,powerset(powerset(empty_set))))).
% 16.60/2.95  cnf(i_0_761, lemma, (in(X1,X2)|~relation(X3)|~relation(X4)|~function(X3)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),esk153_3(X2,X4,X3)))).
% 16.60/2.95  cnf(i_0_1233, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk260_2(X3,X2)))).
% 16.60/2.95  cnf(i_0_267, plain, (in(apply(X1,X2),relation_rng(X1))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 16.60/2.95  cnf(i_0_621, 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)))).
% 16.60/2.95  cnf(i_0_97, plain, (X1=X2|X1=X3|X1=X4|~in(X1,unordered_triple(X4,X3,X2)))).
% 16.60/2.95  cnf(i_0_1727, plain, (epred1_0|subset(X1,esk315_1(X1))|in(esk319_1(X2),esk318_0)|~in(X1,esk314_0)|~in(X2,esk318_0))).
% 16.60/2.95  cnf(i_0_999, plain, (esk183_1(X1)=esk184_1(X1)|in(esk192_3(X1,X2,X3),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1515, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(X4,esk288_3(X1,X2,X3)),unordered_pair(X4,X4)),X3))).
% 16.60/2.95  cnf(i_0_1485, lemma, (X1=esk285_2(X2,X3)|X3=empty_set|~subset(esk285_2(X2,X3),X1)|~finite(X2)|~element(X3,powerset(powerset(X2)))|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_975, plain, (esk183_1(X1)=esk185_1(X1)|in(esk192_3(X1,X2,X3),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1735, plain, (epred1_0|subset(X1,esk319_1(X1))|in(esk315_1(X2),esk314_0)|~in(X2,esk314_0)|~in(X1,esk318_0))).
% 16.60/2.95  cnf(i_0_1726, plain, (epred1_0|subset(X1,esk319_1(X1))|subset(X2,esk315_1(X2))|~in(X2,esk314_0)|~in(X1,esk318_0))).
% 16.60/2.95  cnf(i_0_269, plain, (in(esk69_3(X1,relation_rng(X1),X2),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 16.60/2.95  cnf(i_0_1512, lemma, (below(X1,meet_commut(X1,X2,X3),X2)|empty_carrier(X1)|~meet_absorbing(X1)|~latt_str(X1)|~meet_commutative(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 16.60/2.95  cnf(i_0_58, plain, (in(esk5_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 16.60/2.95  cnf(i_0_690, lemma, (function(esk140_2(X1,X2))|empty(X1)|in(esk136_2(X1,X2),esk138_2(X1,X2))|~relation(X2))).
% 16.60/2.95  cnf(i_0_1138, plain, (in(esk239_3(X1,X2,X3),X1)|esk234_2(X1,X2)!=esk233_2(X1,X2)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1196, lemma, (empty(X1)|in(esk241_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk240_3(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_1218, lemma, (in(X1,powerset(X2))|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~ordinal(X2)|~in(X1,esk253_2(X2,X3)))).
% 16.60/2.95  cnf(i_0_954, plain, (in(esk191_3(X1,X2,X3),cartesian_product2(X1,X2))|esk185_1(X1)!=esk184_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_658, lemma, (function(esk140_2(X1,X2))|empty(X1)|in(esk137_2(X1,X2),esk139_2(X1,X2))|~relation(X2))).
% 16.60/2.95  cnf(i_0_139, plain, (X1=fiber(X2,X3)|in(esk32_3(X2,X3,X1),X1)|esk32_3(X2,X3,X1)!=X3|~relation(X2))).
% 16.60/2.95  cnf(i_0_749, lemma, (X1=empty_set|in(esk152_2(X2,X1),X1)|esk148_0!=empty_set|~epred1_0|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega))).
% 16.60/2.95  cnf(i_0_743, lemma, (X1=empty_set|in(esk152_2(X2,X1),X1)|esk150_0!=empty_set|~epred1_0|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega))).
% 16.60/2.95  cnf(i_0_130, plain, (X1=set_meet(X2)|X2=empty_set|in(esk30_2(X2,X1),X2)|~in(esk29_2(X2,X1),X1))).
% 16.60/2.95  cnf(i_0_204, plain, (X1=X2|in(X1,X2)|in(X2,X1)|~epsilon_connected(X3)|~in(X2,X3)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_691, lemma, (relation(esk140_2(X1,X2))|empty(X1)|in(esk136_2(X1,X2),esk138_2(X1,X2))|~relation(X2))).
% 16.60/2.95  cnf(i_0_1708, lemma, (X1=empty_set|quasi_total(X2,X3,X4)|~quasi_total(X2,X3,X1)|~relation_of2_as_subset(X2,X3,X1)|~subset(X1,X4)|~function(X2))).
% 16.60/2.95  cnf(i_0_1207, lemma, (in(X1,esk248_1(X2))|esk251_3(X2,X1,X1)!=empty_set|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 16.60/2.95  cnf(i_0_659, lemma, (relation(esk140_2(X1,X2))|empty(X1)|in(esk137_2(X1,X2),esk139_2(X1,X2))|~relation(X2))).
% 16.60/2.95  cnf(i_0_33, 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)))).
% 16.60/2.95  cnf(i_0_1181, plain, (esk239_3(X1,X2,X3)=X3|ordinal(esk235_2(X1,X2))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1157, plain, (esk239_3(X1,X2,X3)=X3|ordinal(esk236_2(X1,X2))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1183, plain, (esk238_3(X1,X2,X3)=X3|ordinal(esk235_2(X1,X2))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1396, lemma, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk272_1(X1)|function(esk275_1(X1)))).
% 16.60/2.95  cnf(i_0_1610, lemma, (X1=empty_set|in(X2,X3)|~quasi_total(X4,X3,X1)|~relation_of2_as_subset(X4,X3,X1)|~function(X4)|~in(X2,relation_inverse_image(X4,X5)))).
% 16.60/2.95  cnf(i_0_71, plain, (in(X1,relation_inverse_image(X2,X3))|~relation(X2)|~function(X2)|~in(apply(X2,X1),X3)|~in(X1,relation_dom(X2)))).
% 16.60/2.95  cnf(i_0_941, plain, (unordered_pair(esk182_2(X1,X2),esk182_2(X1,X2))=X2|in(esk178_1(X1),X1)|~in(X2,esk181_1(X1)))).
% 16.60/2.95  cnf(i_0_1159, plain, (esk238_3(X1,X2,X3)=X3|ordinal(esk236_2(X1,X2))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1427, lemma, (X1=empty_set|ordinal(esk276_0)|in(esk280_2(X2,X1),X1)|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega))).
% 16.60/2.95  cnf(i_0_1720, plain, (epred1_0|element(esk318_0,powerset(powerset(set_union2(esk316_0,unordered_pair(esk316_0,esk316_0)))))|esk315_1(X1)!=X1|~in(X1,esk314_0))).
% 16.60/2.95  cnf(i_0_181, plain, (X1=empty_set|disjoint(fiber(X2,esk43_2(X2,X1)),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 16.60/2.95  cnf(i_0_51, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_dom_restriction(X3,X2)))).
% 16.60/2.95  cnf(i_0_65, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_rng_restriction(X2,X3)))).
% 16.60/2.95  cnf(i_0_279, plain, (X1=relation_rng(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,esk74_2(X2,X1)),unordered_pair(X3,X3)),X2)|~in(esk74_2(X2,X1),X1))).
% 16.60/2.95  cnf(i_0_768, plain, (empty(X1)|in(esk160_3(X1,X2,X3),X1)|esk156_2(X1,X2)!=esk155_2(X1,X2)|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1536, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))).
% 16.60/2.95  cnf(i_0_1749, plain, (X1=esk317_1(X2)|X2=empty_set|epred1_0|esk314_0!=empty_set|~subset(esk317_1(X2),X1)|~element(X2,powerset(powerset(esk316_0)))|~in(esk316_0,omega)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1759, plain, (X1=empty_set|epred1_0|element(esk314_0,powerset(powerset(empty_set)))|in(esk317_1(X1),X1)|~element(X1,powerset(powerset(esk316_0)))|~in(esk316_0,omega))).
% 16.60/2.95  cnf(i_0_325, plain, (join(X1,meet(X1,X2,X3),X3)=X3|empty_carrier(X1)|~meet_absorbing(X1)|~latt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1)))).
% 16.60/2.95  cnf(i_0_1182, plain, (ordinal(esk239_3(X1,X2,X3))|ordinal(esk235_2(X1,X2))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1397, lemma, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk272_1(X1)|relation(esk275_1(X1)))).
% 16.60/2.95  cnf(i_0_1506, 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))))).
% 16.60/2.95  cnf(i_0_720, lemma, (in(esk143_1(X1),X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk146_1(X1)))).
% 16.60/2.95  cnf(i_0_641, lemma, (empty(X1)|in(X2,X1)|esk137_2(X1,X3)!=esk136_2(X1,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)),esk140_2(X1,X3)))).
% 16.60/2.95  cnf(i_0_1616, 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))))).
% 16.60/2.95  cnf(i_0_1158, plain, (ordinal(esk239_3(X1,X2,X3))|ordinal(esk236_2(X1,X2))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1388, lemma, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk273_1(X1)|function(esk275_1(X1)))).
% 16.60/2.95  cnf(i_0_1389, lemma, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk273_1(X1)|relation(esk275_1(X1)))).
% 16.60/2.95  cnf(i_0_1615, 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))))).
% 16.60/2.95  cnf(i_0_824, plain, (esk173_4(X1,X2,X3,X4)=X4|empty(X1)|esk165_2(X1,X2)!=esk164_2(X1,X2)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_321, 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)))).
% 16.60/2.95  cnf(i_0_294, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk76_2(X1,X2),esk76_2(X1,X2)),unordered_pair(esk76_2(X1,X2),esk77_2(X1,X2))),X1))).
% 16.60/2.95  cnf(i_0_293, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk76_2(X1,X2),esk77_2(X1,X2)),unordered_pair(esk77_2(X1,X2),esk77_2(X1,X2))),X1))).
% 16.60/2.95  cnf(i_0_1002, plain, (esk183_1(X1)=esk184_1(X1)|in(esk191_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_757, lemma, (X1=empty_set|ordinal(esk148_0)|in(esk152_2(X2,X1),X1)|~epred1_0|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega))).
% 16.60/2.95  cnf(i_0_987, plain, (in(esk192_3(X1,X2,X3),X1)|in(esk186_1(X1),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_963, plain, (in(esk192_3(X1,X2,X3),X1)|in(esk188_1(X1),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1723, plain, (X1=empty_set|epred1_0|in(esk317_1(X1),X1)|esk315_1(X2)!=X2|~element(X1,powerset(powerset(esk316_0)))|~in(esk316_0,omega)|~in(X2,esk314_0))).
% 16.60/2.95  cnf(i_0_1395, lemma, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk272_1(X1)|relation_dom(esk275_1(X1))=X1)).
% 16.60/2.95  cnf(i_0_332, plain, (is_transitive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk90_2(X1,X2),esk90_2(X1,X2)),unordered_pair(esk90_2(X1,X2),esk92_2(X1,X2))),X1))).
% 16.60/2.95  cnf(i_0_121, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk27_2(X1,X2),esk27_2(X1,X2)),unordered_pair(esk27_2(X1,X2),esk27_2(X1,X2))),X1))).
% 16.60/2.95  cnf(i_0_1209, lemma, (in(X1,esk248_1(X2))|in(X1,omega)|~ordinal(X2)|~ordinal(X1)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 16.60/2.95  cnf(i_0_978, plain, (esk183_1(X1)=esk185_1(X1)|in(esk191_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_341, plain, (X1=complements_of_subsets(X2,X3)|element(esk93_3(X2,X3,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 16.60/2.95  cnf(i_0_1421, lemma, (X1=empty_set|in(esk280_2(X2,X1),X1)|in(esk276_0,omega)|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega))).
% 16.60/2.95  cnf(i_0_35, 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)))).
% 16.60/2.95  cnf(i_0_57, plain, (apply(X1,esk5_4(X1,X2,relation_image(X1,X2),X3))=X3|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 16.60/2.95  cnf(i_0_1541, lemma, (in(apply(esk295_1(X1),X2),X2)|in(esk294_1(X1),X1)|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_1609, lemma, (X1=empty_set|in(apply(X2,X3),X4)|~quasi_total(X2,X5,X1)|~relation_of2_as_subset(X2,X5,X1)|~function(X2)|~in(X3,relation_inverse_image(X2,X4)))).
% 16.60/2.95  cnf(i_0_1195, lemma, (esk243_4(X1,X2,X3,X4)=esk241_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk240_3(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_266, plain, (X1=relation_rng(X2)|esk70_2(X2,X1)!=apply(X2,X3)|~relation(X2)|~function(X2)|~in(esk70_2(X2,X1),X1)|~in(X3,relation_dom(X2)))).
% 16.60/2.95  cnf(i_0_767, plain, (esk160_3(X1,X2,X3)=esk161_3(X1,X2,X3)|empty(X1)|esk156_2(X1,X2)!=esk155_2(X1,X2)|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_945, plain, (unordered_pair(esk178_1(X1),esk178_1(X1))=esk179_1(X1)|in(esk182_2(X1,X2),X1)|~in(X2,esk181_1(X1)))).
% 16.60/2.95  cnf(i_0_503, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~reflexive(X2)|~relation(X2)|~in(X1,relation_field(X2)))).
% 16.60/2.95  cnf(i_0_1387, lemma, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk273_1(X1)|relation_dom(esk275_1(X1))=X1)).
% 16.60/2.95  cnf(i_0_258, plain, (X1=set_difference(X2,X3)|in(esk68_3(X2,X3,X1),X1)|~in(esk68_3(X2,X3,X1),X3))).
% 16.60/2.95  cnf(i_0_940, plain, (in(unordered_pair(X1,X1),esk181_1(X2))|in(esk178_1(X2),X2)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1065, plain, (esk219_4(X1,X2,X3,X4)=X4|esk213_3(X1,X2,X3)!=esk212_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_77, plain, (in(X1,relation_image(X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X2)|~in(X4,X3))).
% 16.60/2.95  cnf(i_0_939, plain, (unordered_pair(esk178_1(X1),esk178_1(X1))=esk180_1(X1)|in(esk182_2(X1,X2),X1)|~in(X2,esk181_1(X1)))).
% 16.60/2.95  cnf(i_0_1187, plain, (esk232_2(X1,X2)=esk233_2(X1,X2)|esk239_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1163, plain, (esk232_2(X1,X2)=esk234_2(X1,X2)|esk239_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1175, plain, (esk235_2(X1,X2)=esk233_2(X1,X2)|esk239_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1151, plain, (esk236_2(X1,X2)=esk234_2(X1,X2)|esk239_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_59, plain, (in(esk5_4(X1,X2,relation_image(X1,X2),X3),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 16.60/2.95  cnf(i_0_983, plain, (unordered_pair(esk186_1(X1),esk186_1(X1))=esk187_1(X1)|esk191_3(X1,X2,X3)=X3|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_83, 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))).
% 16.60/2.95  cnf(i_0_141, plain, (X1=X2|in(X1,fiber(X3,X2))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3))).
% 16.60/2.95  cnf(i_0_959, plain, (unordered_pair(esk188_1(X1),esk188_1(X1))=esk189_1(X1)|esk191_3(X1,X2,X3)=X3|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1189, plain, (esk232_2(X1,X2)=esk233_2(X1,X2)|esk238_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1165, plain, (esk232_2(X1,X2)=esk234_2(X1,X2)|esk238_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1739, plain, (epred1_0|in(set_union2(esk316_0,unordered_pair(esk316_0,esk316_0)),omega)|in(esk315_1(X1),esk314_0)|~in(X1,esk314_0))).
% 16.60/2.95  cnf(i_0_766, plain, (empty(X1)|in(X2,esk161_3(X1,X3,X2))|esk156_2(X1,X3)!=esk155_2(X1,X3)|~relation(X3)|~in(X2,esk159_2(X1,X3)))).
% 16.60/2.95  cnf(i_0_1730, plain, (epred1_0|subset(X1,esk315_1(X1))|in(set_union2(esk316_0,unordered_pair(esk316_0,esk316_0)),omega)|~in(X1,esk314_0))).
% 16.60/2.95  cnf(i_0_149, plain, (subset(X1,X2)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),inclusion_relation(X3))|~in(X2,X3)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_1169, plain, (esk239_3(X1,X2,X3)=X3|in(esk235_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1145, plain, (esk239_3(X1,X2,X3)=X3|in(esk236_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1171, plain, (esk238_3(X1,X2,X3)=X3|in(esk235_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_944, plain, (unordered_pair(esk178_1(X1),esk178_1(X1))=esk179_1(X1)|unordered_pair(esk182_2(X1,X2),esk182_2(X1,X2))=X2|~in(X2,esk181_1(X1)))).
% 16.60/2.95  cnf(i_0_523, 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))).
% 16.60/2.95  cnf(i_0_205, plain, (subset(X1,X2)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk53_2(X1,X2),esk53_2(X1,X2)),unordered_pair(esk53_2(X1,X2),esk54_2(X1,X2))),X2))).
% 16.60/2.95  cnf(i_0_1147, plain, (esk238_3(X1,X2,X3)=X3|in(esk236_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_106, 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))).
% 16.60/2.95  cnf(i_0_938, plain, (unordered_pair(esk178_1(X1),esk178_1(X1))=esk180_1(X1)|unordered_pair(esk182_2(X1,X2),esk182_2(X1,X2))=X2|~in(X2,esk181_1(X1)))).
% 16.60/2.95  cnf(i_0_990, plain, (in(esk191_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk186_1(X1),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_966, plain, (in(esk191_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk188_1(X1),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_214, plain, (X1=empty_set|disjoint(fiber(X2,esk56_3(X2,X3,X1)),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 16.60/2.95  cnf(i_0_747, lemma, (X1=empty_set|in(esk152_2(X2,X1),X1)|in(esk148_0,omega)|~epred1_0|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega))).
% 16.60/2.95  cnf(i_0_943, plain, (unordered_pair(esk178_1(X1),esk178_1(X1))=esk179_1(X1)|in(unordered_pair(X2,X2),esk181_1(X1))|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_1376, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(esk267_2(X1,X2),X1)|in(esk262_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_56, plain, (in(apply(X1,X2),relation_image(X1,X3))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1))|~in(X2,X3))).
% 16.60/2.95  cnf(i_0_1511, 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)))).
% 16.60/2.95  cnf(i_0_1377, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(esk267_2(X1,X2),X1)|in(esk262_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_755, lemma, (X1=empty_set|being_limit_ordinal(esk148_0)|in(esk152_2(X2,X1),X1)|~epred1_0|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega))).
% 16.60/2.95  cnf(i_0_1188, plain, (esk232_2(X1,X2)=esk233_2(X1,X2)|ordinal(esk239_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1164, plain, (esk232_2(X1,X2)=esk234_2(X1,X2)|ordinal(esk239_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1176, plain, (esk235_2(X1,X2)=esk233_2(X1,X2)|ordinal(esk239_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_193, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_105, plain, (function(X1)|in(unordered_pair(unordered_pair(esk19_1(X1),esk19_1(X1)),unordered_pair(esk19_1(X1),esk20_1(X1))),X1))).
% 16.60/2.95  cnf(i_0_719, lemma, (X1=unordered_pair(X2,X2)|in(esk143_1(X3),X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk146_1(X3)))).
% 16.60/2.95  cnf(i_0_1250, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(esk267_2(X1,X2),X1)|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1251, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(esk267_2(X1,X2),X1)|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2))).
% 16.60/2.95  cnf(i_0_104, plain, (function(X1)|in(unordered_pair(unordered_pair(esk19_1(X1),esk19_1(X1)),unordered_pair(esk19_1(X1),esk21_1(X1))),X1))).
% 16.60/2.95  cnf(i_0_1152, plain, (esk236_2(X1,X2)=esk234_2(X1,X2)|ordinal(esk239_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1014, plain, (in(esk198_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|esk195_1(X1)!=esk196_1(X1)|~ordinal(X1)|~in(X2,esk197_1(X1)))).
% 16.60/2.95  cnf(i_0_1180, plain, (ordinal(esk235_2(X1,X2))|in(esk239_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1156, plain, (ordinal(esk236_2(X1,X2))|in(esk239_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_937, plain, (unordered_pair(esk178_1(X1),esk178_1(X1))=esk180_1(X1)|in(unordered_pair(X2,X2),esk181_1(X1))|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_1170, plain, (ordinal(esk239_3(X1,X2,X3))|in(esk235_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1146, plain, (ordinal(esk239_3(X1,X2,X3))|in(esk236_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_230, plain, (X1=relation_dom(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(esk60_2(X2,X1),X3),unordered_pair(esk60_2(X2,X1),esk60_2(X2,X1))),X2)|~in(esk60_2(X2,X1),X1))).
% 16.60/2.95  cnf(i_0_1499, 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)))).
% 16.60/2.95  cnf(i_0_172, plain, (esk42_3(X1,X2,X3)=X1|esk42_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk42_3(X1,X2,X3),X3))).
% 16.60/2.95  cnf(i_0_1419, lemma, (X1=empty_set|element(esk278_0,powerset(powerset(esk276_0)))|in(esk280_2(X2,X1),X1)|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega))).
% 16.60/2.95  cnf(i_0_1023, plain, (esk199_2(X1,X2)=X2|epred2_3(esk196_1(X1),esk195_1(X1),esk194_1(X1))|~ordinal(X1)|~in(X2,esk197_1(X1)))).
% 16.60/2.95  cnf(i_0_1025, plain, (esk198_2(X1,X2)=X2|epred2_3(esk196_1(X1),esk195_1(X1),esk194_1(X1))|~ordinal(X1)|~in(X2,esk197_1(X1)))).
% 16.60/2.95  cnf(i_0_1200, lemma, (unordered_pair(esk246_3(X1,X2,X3),esk246_3(X1,X2,X3))=esk247_3(X1,X2,X3)|~in(X3,esk245_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1226, lemma, (in(X1,esk259_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))).
% 16.60/2.95  cnf(i_0_1118, plain, (in(relation_image(X1,X2),X3)|esk229_3(X4,X3,X1)!=esk228_3(X4,X3,X1)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X4)))|~in(X2,esk230_3(X4,X3,X1)))).
% 16.60/2.95  cnf(i_0_191, plain, (X1=cartesian_product2(X2,X3)|in(esk49_3(X2,X3,X1),X2)|in(esk48_3(X2,X3,X1),X1))).
% 16.60/2.95  cnf(i_0_1416, lemma, (X1=esk280_2(X2,X3)|X3=empty_set|esk278_0!=empty_set|~subset(esk280_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_1411, lemma, (X1=empty_set|in(esk280_2(X2,X1),X1)|esk279_1(X3)!=X3|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X3,esk278_0)|~in(X2,omega))).
% 16.60/2.95  cnf(i_0_265, plain, (X1=relation_rng(X2)|in(esk71_2(X2,X1),relation_dom(X2))|in(esk70_2(X2,X1),X1)|~relation(X2)|~function(X2))).
% 16.60/2.95  cnf(i_0_190, plain, (X1=cartesian_product2(X2,X3)|in(esk50_3(X2,X3,X1),X3)|in(esk48_3(X2,X3,X1),X1))).
% 16.60/2.95  cnf(i_0_123, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~is_reflexive_in(X2,X3)|~relation(X2)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_1119, plain, (esk231_4(X1,X2,X3,X4)=X4|esk229_3(X1,X2,X3)!=esk228_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk230_3(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_1229, lemma, (in(X1,esk260_2(X2,X3))|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_259, plain, (X1=set_difference(X2,X3)|in(esk68_3(X2,X3,X1),X2)|in(esk68_3(X2,X3,X1),X1))).
% 16.60/2.95  cnf(i_0_745, lemma, (X1=empty_set|element(esk150_0,powerset(powerset(esk148_0)))|in(esk152_2(X2,X1),X1)|~epred1_0|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega))).
% 16.60/2.95  cnf(i_0_1378, lemma, (apply(esk275_1(X1),X2)=unordered_pair(X2,X2)|esk273_1(X1)!=esk272_1(X1)|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_1024, plain, (epred2_3(esk196_1(X1),esk195_1(X1),esk194_1(X1))|ordinal(esk199_2(X1,X2))|~ordinal(X1)|~in(X2,esk197_1(X1)))).
% 16.60/2.95  cnf(i_0_810, plain, (esk157_2(X1,X2)=esk154_2(X1,X2)|empty(X1)|in(esk160_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_786, plain, (esk158_2(X1,X2)=esk154_2(X1,X2)|empty(X1)|in(esk160_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_792, plain, (empty(X1)|in(esk160_3(X1,X2,X3),X1)|in(esk154_2(X1,X2),X1)|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_128, plain, (X1=set_meet(X2)|X2=empty_set|in(esk29_2(X2,X1),X1)|in(esk29_2(X2,X1),X3)|~in(X3,X2))).
% 16.60/2.95  cnf(i_0_905, plain, (esk166_2(X1,X2)=esk168_2(X1,X2)|esk173_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_851, plain, (esk169_2(X1,X2)=esk171_2(X1,X2)|esk173_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_748, lemma, (X1=esk152_2(X2,X3)|X3=empty_set|esk148_0!=empty_set|~epred1_0|~subset(esk152_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_742, lemma, (X1=esk152_2(X2,X3)|X3=empty_set|esk150_0!=empty_set|~epred1_0|~subset(esk152_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_981, plain, (unordered_pair(esk186_1(X1),esk186_1(X1))=esk187_1(X1)|in(esk192_3(X1,X2,X3),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_697, lemma, (esk138_2(X1,X2)=esk135_2(X1,X2)|empty(X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_665, lemma, (esk139_2(X1,X2)=esk135_2(X1,X2)|empty(X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1217, lemma, (in(esk254_3(X1,X2,X3),X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk253_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1676, 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)))).
% 16.60/2.95  cnf(i_0_957, plain, (unordered_pair(esk188_1(X1),esk188_1(X1))=esk189_1(X1)|in(esk192_3(X1,X2,X3),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1758, plain, (X1=esk317_1(X2)|X2=empty_set|epred1_0|element(esk314_0,powerset(powerset(empty_set)))|~subset(esk317_1(X2),X1)|~element(X2,powerset(powerset(esk316_0)))|~in(esk316_0,omega)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_737, lemma, (X1=empty_set|in(esk152_2(X2,X1),X1)|esk151_1(X3)!=X3|~epred1_0|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X3,esk150_0)|~in(X2,omega))).
% 16.60/2.95  cnf(i_0_1186, plain, (esk232_2(X1,X2)=esk233_2(X1,X2)|in(esk239_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1162, plain, (esk232_2(X1,X2)=esk234_2(X1,X2)|in(esk239_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1644, lemma, (X1=empty_set|in(unordered_pair(unordered_pair(esk308_1(X1),esk308_1(X1)),unordered_pair(esk308_1(X1),esk309_1(X1))),X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_218, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk58_3(X2,X3,X1),X1)|~in(esk58_3(X2,X3,X1),X3)|~in(esk58_3(X2,X3,X1),X2))).
% 16.60/2.95  cnf(i_0_640, lemma, (esk141_4(X1,X2,X3,X4)=X3|empty(X1)|esk137_2(X1,X2)!=esk136_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1738, plain, (epred1_0|element(esk318_0,powerset(powerset(set_union2(esk316_0,unordered_pair(esk316_0,esk316_0)))))|in(esk315_1(X1),esk314_0)|~in(X1,esk314_0))).
% 16.60/2.95  cnf(i_0_1174, plain, (esk235_2(X1,X2)=esk233_2(X1,X2)|in(esk239_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1150, plain, (esk236_2(X1,X2)=esk234_2(X1,X2)|in(esk239_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1249, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk267_2(X1,X2),X1)|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1426, lemma, (X1=esk280_2(X2,X3)|X3=empty_set|ordinal(esk276_0)|~subset(esk280_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_1358, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|function(esk269_2(X1,X2))|empty(X1)|in(esk267_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1729, plain, (epred1_0|subset(X1,esk315_1(X1))|element(esk318_0,powerset(powerset(set_union2(esk316_0,unordered_pair(esk316_0,esk316_0)))))|~in(X1,esk314_0))).
% 16.60/2.95  cnf(i_0_1168, plain, (in(esk239_3(X1,X2,X3),X1)|in(esk235_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1144, plain, (in(esk239_3(X1,X2,X3),X1)|in(esk236_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_822, plain, (empty(X1)|in(esk174_4(X1,X2,X3,X4),X1)|esk165_2(X1,X2)!=esk164_2(X1,X2)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_1359, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|relation(esk269_2(X1,X2))|empty(X1)|in(esk267_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_113, 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)))).
% 16.60/2.95  cnf(i_0_1722, plain, (X1=esk317_1(X2)|X2=empty_set|epred1_0|esk315_1(X3)!=X3|~subset(esk317_1(X2),X1)|~element(X2,powerset(powerset(esk316_0)))|~in(esk316_0,omega)|~in(X3,esk314_0)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1204, lemma, (in(X1,esk248_1(X2))|esk252_4(X2,X1,X1,X3)!=X3|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk251_3(X2,X1,X1)))).
% 16.60/2.95  cnf(i_0_1304, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|function(esk269_2(X1,X2))|empty(X1)|in(esk267_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_809, plain, (esk160_3(X1,X2,X3)=esk161_3(X1,X2,X3)|esk157_2(X1,X2)=esk154_2(X1,X2)|empty(X1)|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_785, plain, (esk160_3(X1,X2,X3)=esk161_3(X1,X2,X3)|esk158_2(X1,X2)=esk154_2(X1,X2)|empty(X1)|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1668, lemma, (X1=empty_set|in(apply(X2,X3),relation_rng(X2))|~quasi_total(X2,X4,X1)|~relation_of2_as_subset(X2,X4,X1)|~function(X2)|~in(X3,X4))).
% 16.60/2.95  cnf(i_0_1305, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|relation(esk269_2(X1,X2))|empty(X1)|in(esk267_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1006, plain, (in(X1,esk197_1(X2))|esk201_3(X2,X1,X1)!=empty_set|esk195_1(X2)!=esk196_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 16.60/2.95  cnf(i_0_157, 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)))).
% 16.60/2.95  cnf(i_0_225, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,apply(X2,X1))),X2)|~relation(X2)|~function(X2)|~in(X1,relation_dom(X2)))).
% 16.60/2.95  cnf(i_0_142, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(X1,fiber(X3,X2)))).
% 16.60/2.95  cnf(i_0_340, plain, (X1=complements_of_subsets(X2,X3)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2)))|~in(subset_complement(X2,esk93_3(X2,X3,X1)),X3)|~in(esk93_3(X2,X3,X1),X1))).
% 16.60/2.95  cnf(i_0_1508, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(esk286_3(X2,X1,X3),X4),unordered_pair(esk286_3(X2,X1,X3),esk286_3(X2,X1,X3))),X3))).
% 16.60/2.95  cnf(i_0_1357, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk267_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_756, lemma, (X1=esk152_2(X2,X3)|X3=empty_set|ordinal(esk148_0)|~epred1_0|~subset(esk152_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_1741, plain, (X1=empty_set|epred1_0|in(esk315_1(X2),esk314_0)|in(esk317_1(X1),X1)|~element(X1,powerset(powerset(esk316_0)))|~in(esk316_0,omega)|~in(X2,esk314_0))).
% 16.60/2.95  cnf(i_0_1732, plain, (X1=empty_set|epred1_0|subset(X2,esk315_1(X2))|in(esk317_1(X1),X1)|~element(X1,powerset(powerset(esk316_0)))|~in(esk316_0,omega)|~in(X2,esk314_0))).
% 16.60/2.95  cnf(i_0_708, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk146_1(X2))|esk145_1(X2)!=esk144_1(X2)|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1303, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk267_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_76, plain, (X1=relation_image(X2,X3)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,esk12_3(X2,X3,X1)),unordered_pair(X4,X4)),X2)|~in(esk12_3(X2,X3,X1),X1)|~in(X4,X3))).
% 16.60/2.95  cnf(i_0_1030, plain, (esk209_3(X1,X2,X3)=X3|esk205_2(X1,X2)!=esk204_2(X1,X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_342, plain, (in(X1,complements_of_subsets(X2,X3))|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2))|~in(subset_complement(X2,X1),X3))).
% 16.60/2.95  cnf(i_0_522, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk106_1(X1),esk106_1(X1)),unordered_pair(esk106_1(X1),esk107_1(X1))),X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_40, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),identity_relation(X2))|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_1420, lemma, (X1=esk280_2(X2,X3)|X3=empty_set|in(esk276_0,omega)|~subset(esk280_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_1402, lemma, (apply(esk275_1(X1),X2)=unordered_pair(X2,X2)|in(esk271_1(X1),X1)|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_521, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk106_1(X1),esk107_1(X1)),unordered_pair(esk107_1(X1),esk107_1(X1))),X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1638, lemma, (in(apply(function_inverse(X1),X2),relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 16.60/2.95  cnf(i_0_1608, lemma, (X1=empty_set|in(X2,relation_inverse_image(X3,X4))|~quasi_total(X3,X5,X1)|~relation_of2_as_subset(X3,X5,X1)|~function(X3)|~in(apply(X3,X2),X4)|~in(X2,X5))).
% 16.60/2.95  cnf(i_0_511, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk102_1(X1),esk102_1(X1)),unordered_pair(esk102_1(X1),esk103_1(X1))),X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_725, lemma, (unordered_pair(esk143_1(X1),esk143_1(X1))=esk144_1(X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk146_1(X1)))).
% 16.60/2.95  cnf(i_0_715, lemma, (unordered_pair(esk143_1(X1),esk143_1(X1))=esk145_1(X1)|in(X2,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk146_1(X1)))).
% 16.60/2.95  cnf(i_0_1473, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk284_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 16.60/2.95  cnf(i_0_1199, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk245_2(X2,X3))|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 16.60/2.95  cnf(i_0_510, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk103_1(X1),esk103_1(X1)),unordered_pair(esk103_1(X1),esk104_1(X1))),X1)|~relation(X1))).
% 16.60/2.95  cnf(i_0_1635, lemma, (apply(function_inverse(X1),apply(X1,X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 16.60/2.95  cnf(i_0_1375, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk267_2(X1,X2),X1)|in(esk262_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_746, lemma, (X1=esk152_2(X2,X3)|X3=empty_set|in(esk148_0,omega)|~epred1_0|~subset(esk152_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_950, plain, (unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3))=esk193_3(X1,X2,X3)|esk185_1(X1)!=esk184_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_754, lemma, (X1=esk152_2(X2,X3)|X3=empty_set|being_limit_ordinal(esk148_0)|~epred1_0|~subset(esk152_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_264, plain, (apply(X1,esk71_2(X1,X2))=esk70_2(X1,X2)|X2=relation_rng(X1)|in(esk70_2(X1,X2),X2)|~relation(X1)|~function(X1))).
% 16.60/2.95  cnf(i_0_217, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk58_3(X2,X3,X1),X2)|in(esk58_3(X2,X3,X1),X1))).
% 16.60/2.95  cnf(i_0_1142, plain, (in(esk238_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|esk234_2(X1,X2)!=esk233_2(X1,X2)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_821, plain, (esk176_4(X1,X2,X3,X4)=esk174_4(X1,X2,X3,X4)|empty(X1)|esk165_2(X1,X2)!=esk164_2(X1,X2)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_1340, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(esk263_2(X1,X2),esk265_2(X1,X2))|in(esk267_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1286, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(esk264_2(X1,X2),esk266_2(X1,X2))|in(esk267_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1341, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(esk263_2(X1,X2),esk265_2(X1,X2))|in(esk267_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1287, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(esk264_2(X1,X2),esk266_2(X1,X2))|in(esk267_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_1216, lemma, (set_difference(esk254_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk253_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1394, lemma, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk272_1(X1)|apply(esk275_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_55, plain, (X1=relation_image(X2,X3)|esk6_3(X2,X3,X1)!=apply(X2,X4)|~relation(X2)|~function(X2)|~in(esk6_3(X2,X3,X1),X1)|~in(X4,relation_dom(X2))|~in(X4,X3))).
% 16.60/2.95  cnf(i_0_825, plain, (empty(X1)|in(esk173_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|esk165_2(X1,X2)!=esk164_2(X1,X2)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_1194, lemma, (empty(X1)|in(esk242_4(X1,X2,X3,X4),esk243_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk240_3(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_1410, lemma, (X1=esk280_2(X2,X3)|X3=empty_set|esk279_1(X4)!=X4|~subset(esk280_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X4,esk278_0)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_74, plain, (X1=relation_image(X2,X3)|in(esk13_3(X2,X3,X1),X3)|in(esk12_3(X2,X3,X1),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_808, plain, (esk157_2(X1,X2)=esk154_2(X1,X2)|empty(X1)|in(X3,esk161_3(X1,X2,X3))|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_784, plain, (esk158_2(X1,X2)=esk154_2(X1,X2)|empty(X1)|in(X3,esk161_3(X1,X2,X3))|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_1418, lemma, (X1=esk280_2(X2,X3)|X3=empty_set|element(esk278_0,powerset(powerset(esk276_0)))|~subset(esk280_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.95  cnf(i_0_932, plain, (esk163_2(X1,X2)=esk164_2(X1,X2)|esk173_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_1386, lemma, (unordered_pair(esk271_1(X1),esk271_1(X1))=esk273_1(X1)|apply(esk275_1(X1),X2)=unordered_pair(X2,X2)|~in(X2,X1))).
% 16.60/2.95  cnf(i_0_192, plain, (X1=cartesian_product2(X2,X3)|esk48_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk48_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))).
% 16.60/2.95  cnf(i_0_790, plain, (empty(X1)|in(X2,esk161_3(X1,X3,X2))|in(esk154_2(X1,X3),X1)|~relation(X3)|~in(X2,esk159_2(X1,X3)))).
% 16.60/2.95  cnf(i_0_80, plain, (X1=relation_inverse_image(X2,X3)|in(esk16_3(X2,X3,X1),X3)|in(esk15_3(X2,X3,X1),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_343, plain, (in(subset_complement(X1,X2),X3)|~element(X3,powerset(powerset(X1)))|~in(X2,complements_of_subsets(X1,X3)))).
% 16.60/2.95  cnf(i_0_878, plain, (esk163_2(X1,X2)=esk165_2(X1,X2)|esk173_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.95  cnf(i_0_724, lemma, (unordered_pair(esk143_1(X1),esk143_1(X1))=esk144_1(X1)|X2=unordered_pair(X3,X3)|~in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),esk146_1(X1)))).
% 16.60/2.95  cnf(i_0_232, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk59_3(X2,relation_dom(X2),X1))),X2)|~relation(X2)|~in(X1,relation_dom(X2)))).
% 16.60/2.95  cnf(i_0_1339, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk263_2(X1,X2),esk265_2(X1,X2))|in(esk267_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.95  cnf(i_0_260, plain, (X1=set_difference(X2,X3)|in(esk68_3(X2,X3,X1),X3)|~in(esk68_3(X2,X3,X1),X1)|~in(esk68_3(X2,X3,X1),X2))).
% 16.60/2.95  cnf(i_0_673, lemma, (empty(X1)|in(esk135_2(X1,X2),X1)|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2)))).
% 16.60/2.95  cnf(i_0_914, plain, (esk173_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk166_2(X1,X2),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1285, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk264_2(X1,X2),esk266_2(X1,X2))|in(esk267_2(X1,X2),X1)|~relation(X2))).
% 16.60/2.96  cnf(i_0_714, lemma, (unordered_pair(esk143_1(X1),esk143_1(X1))=esk145_1(X1)|X2=unordered_pair(X3,X3)|~in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),esk146_1(X1)))).
% 16.60/2.96  cnf(i_0_860, plain, (esk173_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk169_2(X1,X2),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1184, plain, (ordinal(esk235_2(X1,X2))|in(esk238_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1160, plain, (ordinal(esk236_2(X1,X2))|in(esk238_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1634, lemma, (X1=function_inverse(X2)|in(esk307_2(X2,X1),relation_dom(X2))|in(esk304_2(X2,X1),relation_rng(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 16.60/2.96  cnf(i_0_998, plain, (unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3))=esk193_3(X1,X2,X3)|esk183_1(X1)=esk184_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1029, plain, (in(esk210_3(X1,X2,X3),X2)|esk205_2(X1,X2)!=esk204_2(X1,X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_70, plain, (X1=relation_inverse_image(X2,X3)|~relation(X2)|~function(X2)|~in(apply(X2,esk10_3(X2,X3,X1)),X3)|~in(esk10_3(X2,X3,X1),relation_dom(X2))|~in(esk10_3(X2,X3,X1),X1))).
% 16.60/2.96  cnf(i_0_696, lemma, (esk138_2(X1,X2)=esk135_2(X1,X2)|esk141_4(X1,X2,X3,X4)=X3|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_664, lemma, (esk139_2(X1,X2)=esk135_2(X1,X2)|esk141_4(X1,X2,X3,X4)=X3|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_974, plain, (unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3))=esk193_3(X1,X2,X3)|esk183_1(X1)=esk185_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1415, lemma, (X1=empty_set|in(esk280_2(X2,X1),X1)|in(esk279_1(X3),esk278_0)|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X3,esk278_0)|~in(X2,omega))).
% 16.60/2.96  cnf(i_0_1413, lemma, (X1=empty_set|subset(X2,esk279_1(X2))|in(esk280_2(X3,X1),X1)|~element(X1,powerset(powerset(X3)))|~ordinal(X3)|~in(X2,esk278_0)|~in(X3,omega))).
% 16.60/2.96  cnf(i_0_744, lemma, (X1=esk152_2(X2,X3)|X3=empty_set|element(esk150_0,powerset(powerset(esk148_0)))|~epred1_0|~subset(esk152_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_791, plain, (esk160_3(X1,X2,X3)=esk161_3(X1,X2,X3)|empty(X1)|in(esk154_2(X1,X2),X1)|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1631, lemma, (apply(X1,esk304_2(X2,X1))=esk305_2(X2,X1)|X1=function_inverse(X2)|in(esk307_2(X2,X1),relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 16.60/2.96  cnf(i_0_986, plain, (unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3))=esk193_3(X1,X2,X3)|in(esk186_1(X1),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1066, plain, (in(esk219_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|esk213_3(X1,X2,X3)!=esk212_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_736, lemma, (X1=esk152_2(X2,X3)|X3=empty_set|esk151_1(X4)!=X4|~epred1_0|~subset(esk152_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X4,esk150_0)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_39, 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))).
% 16.60/2.96  cnf(i_0_962, plain, (unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3))=esk193_3(X1,X2,X3)|in(esk188_1(X1),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_741, lemma, (X1=empty_set|in(esk152_2(X2,X1),X1)|in(esk151_1(X3),esk150_0)|~epred1_0|~element(X1,powerset(powerset(X2)))|~ordinal(X2)|~in(X3,esk150_0)|~in(X2,omega))).
% 16.60/2.96  cnf(i_0_739, lemma, (X1=empty_set|subset(X2,esk151_1(X2))|in(esk152_2(X3,X1),X1)|~epred1_0|~element(X1,powerset(powerset(X3)))|~ordinal(X3)|~in(X2,esk150_0)|~in(X3,omega))).
% 16.60/2.96  cnf(i_0_1211, lemma, (X1=empty_set|in(esk250_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(esk249_2(X2,X3))))|~ordinal(X2)|~in(esk249_2(X2,X3),omega)|~in(X3,esk248_1(X2)))).
% 16.60/2.96  cnf(i_0_1190, plain, (esk232_2(X1,X2)=esk233_2(X1,X2)|in(esk238_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1633, lemma, (apply(X1,esk307_2(X1,X2))=esk306_2(X1,X2)|X2=function_inverse(X1)|in(esk304_2(X1,X2),relation_rng(X1))|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 16.60/2.96  cnf(i_0_984, plain, (unordered_pair(esk186_1(X1),esk186_1(X1))=esk187_1(X1)|in(esk191_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1008, plain, (in(X1,esk197_1(X2))|in(X1,omega)|esk195_1(X2)!=esk196_1(X2)|~ordinal(X2)|~ordinal(X1)|~in(X1,set_union2(X2,unordered_pair(X2,X2))))).
% 16.60/2.96  cnf(i_0_1060, plain, (esk203_2(X1,X2)=esk204_2(X1,X2)|esk209_3(X1,X2,X3)=X3|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1045, plain, (esk203_2(X1,X2)=esk205_2(X1,X2)|esk209_3(X1,X2,X3)=X3|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_960, plain, (unordered_pair(esk188_1(X1),esk188_1(X1))=esk189_1(X1)|in(esk191_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1166, plain, (esk232_2(X1,X2)=esk234_2(X1,X2)|in(esk238_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1178, plain, (esk235_2(X1,X2)=esk233_2(X1,X2)|in(esk238_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1154, plain, (esk236_2(X1,X2)=esk234_2(X1,X2)|in(esk238_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_53, plain, (X1=relation_image(X2,X3)|in(esk7_3(X2,X3,X1),X3)|in(esk6_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 16.60/2.96  cnf(i_0_1356, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|esk270_3(X1,X2,X3)=X3|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_216, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk58_3(X2,X3,X1),X3)|in(esk58_3(X2,X3,X1),X1))).
% 16.60/2.96  cnf(i_0_1248, lemma, (esk270_3(X1,X2,X3)=X3|in(esk267_2(X1,X2),X1)|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1374, lemma, (esk270_3(X1,X2,X3)=X3|in(esk267_2(X1,X2),X1)|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1740, plain, (X1=esk317_1(X2)|X2=empty_set|epred1_0|in(esk315_1(X3),esk314_0)|~subset(esk317_1(X2),X1)|~element(X2,powerset(powerset(esk316_0)))|~in(esk316_0,omega)|~in(X3,esk314_0)|~in(X1,X2))).
% 16.60/2.96  cnf(i_0_1731, plain, (X1=esk317_1(X2)|X2=empty_set|epred1_0|subset(X3,esk315_1(X3))|~subset(esk317_1(X2),X1)|~element(X2,powerset(powerset(esk316_0)))|~in(esk316_0,omega)|~in(X3,esk314_0)|~in(X1,X2))).
% 16.60/2.96  cnf(i_0_930, plain, (esk163_2(X1,X2)=esk164_2(X1,X2)|empty(X1)|in(esk174_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_876, plain, (esk163_2(X1,X2)=esk165_2(X1,X2)|empty(X1)|in(esk174_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_145, plain, (inclusion_relation(relation_field(X1))=X1|~subset(esk33_2(relation_field(X1),X1),esk34_2(relation_field(X1),X1))|~relation(X1)|~in(unordered_pair(unordered_pair(esk33_2(relation_field(X1),X1),esk33_2(relation_field(X1),X1)),unordered_pair(esk33_2(relation_field(X1),X1),esk34_2(relation_field(X1),X1))),X1))).
% 16.60/2.96  cnf(i_0_54, plain, (X1=relation_image(X2,X3)|in(esk7_3(X2,X3,X1),relation_dom(X2))|in(esk6_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 16.60/2.96  cnf(i_0_82, plain, (X1=relation_inverse_image(X2,X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk15_3(X2,X3,X1),X4),unordered_pair(esk15_3(X2,X3,X1),esk15_3(X2,X3,X1))),X2)|~in(esk15_3(X2,X3,X1),X1)|~in(X4,X3))).
% 16.60/2.96  cnf(i_0_1003, plain, (in(X1,esk197_1(X2))|esk202_4(X2,X1,X1,X3)!=X3|esk195_1(X2)!=esk196_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,esk201_3(X2,X1,X1)))).
% 16.60/2.96  cnf(i_0_69, plain, (X1=relation_inverse_image(X2,X3)|in(esk10_3(X2,X3,X1),relation_dom(X2))|in(esk10_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 16.60/2.96  cnf(i_0_148, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),inclusion_relation(X3))|~subset(X1,X2)|~in(X2,X3)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_903, plain, (esk166_2(X1,X2)=esk168_2(X1,X2)|empty(X1)|in(esk174_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_849, plain, (esk169_2(X1,X2)=esk171_2(X1,X2)|empty(X1)|in(esk174_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_912, plain, (empty(X1)|in(esk174_4(X1,X2,X3,X4),X1)|in(esk166_2(X1,X2),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1238, lemma, (function(esk269_2(X1,X2))|empty(X1)|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_120, plain, (unordered_pair(unordered_pair(esk24_2(X1,X2),esk24_2(X1,X2)),unordered_pair(esk24_2(X1,X2),esk25_2(X1,X2)))=X2|~relation(X1)|~in(X2,X1))).
% 16.60/2.96  cnf(i_0_1134, plain, (esk227_3(X1,X2,X3)=esk228_3(X1,X2,X3)|in(relation_image(X3,X4),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk230_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1126, plain, (esk227_3(X1,X2,X3)=esk229_3(X1,X2,X3)|in(relation_image(X3,X4),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk230_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_858, plain, (empty(X1)|in(esk174_4(X1,X2,X3,X4),X1)|in(esk169_2(X1,X2),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_238, 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))).
% 16.60/2.96  cnf(i_0_1208, lemma, (element(esk251_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk248_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 16.60/2.96  cnf(i_0_1239, lemma, (relation(esk269_2(X1,X2))|empty(X1)|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_718, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk146_1(X2))|in(esk143_1(X2),X2)|~in(X1,X2))).
% 16.60/2.96  cnf(i_0_1095, plain, (esk211_3(X1,X2,X3)=esk212_3(X1,X2,X3)|esk219_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1080, plain, (esk211_3(X1,X2,X3)=esk213_3(X1,X2,X3)|esk219_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1031, plain, (in(esk209_3(X1,X2,X3),powerset(X1))|esk205_2(X1,X2)!=esk204_2(X1,X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1776, plain, (X1=empty_set|in(esk321_4(X2,X3,X4,X1),X1)|~epred2_3(X4,X3,X2)|~element(X1,powerset(powerset(esk320_3(X2,X3,X4))))|~in(esk320_3(X2,X3,X4),omega))).
% 16.60/2.96  cnf(i_0_933, plain, (esk163_2(X1,X2)=esk164_2(X1,X2)|empty(X1)|in(esk173_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_879, plain, (esk163_2(X1,X2)=esk165_2(X1,X2)|empty(X1)|in(esk173_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_906, plain, (esk166_2(X1,X2)=esk168_2(X1,X2)|empty(X1)|in(esk173_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_852, plain, (esk169_2(X1,X2)=esk171_2(X1,X2)|empty(X1)|in(esk173_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_915, plain, (empty(X1)|in(esk173_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk166_2(X1,X2),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_85, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk14_4(X2,X3,relation_inverse_image(X2,X3),X1))),X2)|~relation(X2)|~in(X1,relation_inverse_image(X2,X3)))).
% 16.60/2.96  cnf(i_0_1771, plain, (X1=empty_set|in(esk323_4(X2,X3,X4,X1),X1)|~epred2_3(X4,X3,X2)|~element(X1,powerset(powerset(esk322_3(X2,X3,X4))))|~in(esk322_3(X2,X3,X4),omega))).
% 16.60/2.96  cnf(i_0_639, lemma, (empty(X1)|in(X2,esk141_4(X1,X3,X4,X2))|esk137_2(X1,X3)!=esk136_2(X1,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),esk140_2(X1,X3)))).
% 16.60/2.96  cnf(i_0_861, plain, (empty(X1)|in(esk173_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk169_2(X1,X2),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_820, plain, (empty(X1)|in(esk175_4(X1,X2,X3,X4),esk176_4(X1,X2,X3,X4))|esk165_2(X1,X2)!=esk164_2(X1,X2)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1302, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|esk270_3(X1,X2,X3)=X3|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_802, plain, (empty(X1)|in(esk155_2(X1,X2),esk157_2(X1,X2))|in(X3,esk161_3(X1,X2,X3))|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_778, plain, (empty(X1)|in(esk156_2(X1,X2),esk158_2(X1,X2))|in(X3,esk161_3(X1,X2,X3))|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_804, plain, (empty(X1)|in(esk155_2(X1,X2),esk157_2(X1,X2))|in(esk160_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_780, plain, (empty(X1)|in(esk156_2(X1,X2),esk158_2(X1,X2))|in(esk160_3(X1,X2,X3),X1)|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1630, lemma, (apply(X1,esk307_2(X1,X2))=esk306_2(X1,X2)|apply(X2,esk304_2(X1,X2))=esk305_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))).
% 16.60/2.96  cnf(i_0_896, plain, (esk173_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk167_2(X1,X2),esk168_2(X1,X2))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1028, plain, (set_difference(esk210_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk205_2(X1,X2)!=esk204_2(X1,X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1059, plain, (esk203_2(X1,X2)=esk204_2(X1,X2)|in(esk210_3(X1,X2,X3),X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1044, plain, (esk203_2(X1,X2)=esk205_2(X1,X2)|in(esk210_3(X1,X2,X3),X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_842, plain, (esk173_4(X1,X2,X3,X4)=X4|empty(X1)|in(esk170_2(X1,X2),esk171_2(X1,X2))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1010, plain, (X1=empty_set|in(esk200_3(X2,X3,X1),X1)|esk195_1(X2)!=esk196_1(X2)|~element(X1,powerset(powerset(esk199_2(X2,X3))))|~ordinal(X2)|~in(esk199_2(X2,X3),omega)|~in(X3,esk197_1(X2)))).
% 16.60/2.96  cnf(i_0_803, plain, (esk160_3(X1,X2,X3)=esk161_3(X1,X2,X3)|empty(X1)|in(esk155_2(X1,X2),esk157_2(X1,X2))|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_779, plain, (esk160_3(X1,X2,X3)=esk161_3(X1,X2,X3)|empty(X1)|in(esk156_2(X1,X2),esk158_2(X1,X2))|~relation(X2)|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1414, lemma, (X1=esk280_2(X2,X3)|X3=empty_set|in(esk279_1(X4),esk278_0)|~subset(esk280_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X4,esk278_0)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_1237, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_68, plain, (X1=relation_inverse_image(X2,X3)|in(apply(X2,esk10_3(X2,X3,X1)),X3)|in(esk10_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 16.60/2.96  cnf(i_0_1120, plain, (in(esk231_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|esk229_3(X1,X2,X3)!=esk228_3(X1,X2,X3)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk230_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_672, lemma, (esk141_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk135_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_995, plain, (unordered_pair(unordered_pair(esk186_1(X1),esk186_1(X1)),unordered_pair(esk186_1(X1),esk187_1(X1)))=esk184_1(X1)|esk191_3(X1,X2,X3)=X3|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1412, lemma, (X1=esk280_2(X2,X3)|X3=empty_set|subset(X4,esk279_1(X4))|~subset(esk280_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X4,esk278_0)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_1172, plain, (in(esk238_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk235_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1148, plain, (in(esk238_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk236_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk237_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1507, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk287_4(X2,X3,X4,X1))),X4)|relation_dom_as_subset(X3,X2,X4)!=X3|~relation_of2_as_subset(X4,X3,X2)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_1244, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_971, plain, (unordered_pair(unordered_pair(esk188_1(X1),esk188_1(X1)),unordered_pair(esk188_1(X1),esk189_1(X1)))=esk185_1(X1)|esk191_3(X1,X2,X3)=X3|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1137, plain, (in(X1,esk237_2(X2,X3))|esk234_2(X2,X3)!=esk233_2(X2,X3)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 16.60/2.96  cnf(i_0_929, plain, (esk176_4(X1,X2,X3,X4)=esk174_4(X1,X2,X3,X4)|esk163_2(X1,X2)=esk164_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_875, plain, (esk176_4(X1,X2,X3,X4)=esk174_4(X1,X2,X3,X4)|esk163_2(X1,X2)=esk165_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_902, plain, (esk176_4(X1,X2,X3,X4)=esk174_4(X1,X2,X3,X4)|esk166_2(X1,X2)=esk168_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_848, plain, (esk176_4(X1,X2,X3,X4)=esk174_4(X1,X2,X3,X4)|esk169_2(X1,X2)=esk171_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1055, plain, (esk209_3(X1,X2,X3)=X3|in(esk206_2(X1,X2),X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1040, plain, (esk209_3(X1,X2,X3)=X3|in(esk207_2(X1,X2),X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1245, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_52, plain, (apply(X1,esk7_3(X1,X2,X3))=esk6_3(X1,X2,X3)|X3=relation_image(X1,X2)|in(esk6_3(X1,X2,X3),X3)|~relation(X1)|~function(X1))).
% 16.60/2.96  cnf(i_0_911, plain, (esk176_4(X1,X2,X3,X4)=esk174_4(X1,X2,X3,X4)|empty(X1)|in(esk166_2(X1,X2),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_857, plain, (esk176_4(X1,X2,X3,X4)=esk174_4(X1,X2,X3,X4)|empty(X1)|in(esk169_2(X1,X2),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1502, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|X4=empty_set|~quasi_total(X1,X5,X4)|~relation_of2_as_subset(X1,X5,X4)|~relation(X2)|~function(X2)|~function(X1)|~in(X3,X5))).
% 16.60/2.96  cnf(i_0_1338, lemma, (esk270_3(X1,X2,X3)=X3|in(esk263_2(X1,X2),esk265_2(X1,X2))|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1675, 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))).
% 16.60/2.96  cnf(i_0_1215, lemma, (in(set_difference(X1,unordered_pair(X2,X2)),esk253_2(X2,X3))|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~ordinal(X2)|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_1135, plain, (esk227_3(X1,X2,X3)=esk228_3(X1,X2,X3)|esk231_4(X1,X2,X3,X4)=X4|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk230_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1127, plain, (esk227_3(X1,X2,X3)=esk229_3(X1,X2,X3)|esk231_4(X1,X2,X3,X4)=X4|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk230_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1284, lemma, (esk270_3(X1,X2,X3)=X3|in(esk264_2(X1,X2),esk266_2(X1,X2))|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1026, plain, (epred2_3(esk196_1(X1),esk195_1(X1),esk194_1(X1))|in(esk198_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(X2,esk197_1(X1)))).
% 16.60/2.96  cnf(i_0_763, plain, (in(X1,esk159_2(X2,X3))|esk156_2(X2,X3)!=esk155_2(X2,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk162_5(X2,X3,X1,X4,X4))),X3)|~in(X4,X2)|~in(X1,X4))).
% 16.60/2.96  cnf(i_0_689, lemma, (empty(X1)|in(esk136_2(X1,X2),esk138_2(X1,X2))|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_235, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk62_2(X1,X2),esk62_2(X1,X2)),unordered_pair(esk62_2(X1,X2),esk63_2(X1,X2))),X1)|~relation(X1))).
% 16.60/2.96  cnf(i_0_740, lemma, (X1=esk152_2(X2,X3)|X3=empty_set|in(esk151_1(X4),esk150_0)|~epred1_0|~subset(esk152_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X4,esk150_0)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_738, lemma, (X1=esk152_2(X2,X3)|X3=empty_set|subset(X4,esk151_1(X4))|~epred1_0|~subset(esk152_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~ordinal(X2)|~in(X4,esk150_0)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_657, lemma, (empty(X1)|in(esk137_2(X1,X2),esk139_2(X1,X2))|in(X3,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1058, plain, (set_difference(esk210_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk203_2(X1,X2)=esk204_2(X1,X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_723, lemma, (unordered_pair(esk143_1(X1),esk143_1(X1))=esk144_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk146_1(X1))|~in(X2,X1))).
% 16.60/2.96  cnf(i_0_1210, lemma, (X1=esk250_3(X2,X3,X4)|X4=empty_set|~subset(esk250_3(X2,X3,X4),X1)|~element(X4,powerset(powerset(esk249_2(X2,X3))))|~ordinal(X2)|~in(esk249_2(X2,X3),omega)|~in(X3,esk248_1(X2))|~in(X1,X4))).
% 16.60/2.96  cnf(i_0_302, 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))).
% 16.60/2.96  cnf(i_0_234, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk62_2(X1,X2),esk63_2(X1,X2)),unordered_pair(esk63_2(X1,X2),esk63_2(X1,X2))),X1)|~relation(X1))).
% 16.60/2.96  cnf(i_0_303, 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)))).
% 16.60/2.96  cnf(i_0_1043, plain, (set_difference(esk210_3(X1,X2,X3),unordered_pair(X1,X1))=X3|esk203_2(X1,X2)=esk205_2(X1,X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1096, plain, (esk211_3(X1,X2,X3)=esk212_3(X1,X2,X3)|in(esk219_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1081, plain, (esk211_3(X1,X2,X3)=esk213_3(X1,X2,X3)|in(esk219_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_713, lemma, (unordered_pair(esk143_1(X1),esk143_1(X1))=esk145_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk146_1(X1))|~in(X2,X1))).
% 16.60/2.96  cnf(i_0_1662, lemma, (X1=relation_dom_restriction(X2,X3)|apply(X1,esk310_3(X3,X1,X2))!=apply(X2,esk310_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))).
% 16.60/2.96  cnf(i_0_1205, lemma, (subset(X1,esk252_4(X2,X3,X3,X1))|in(X3,esk248_1(X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X1,esk251_3(X2,X3,X3)))).
% 16.60/2.96  cnf(i_0_334, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk90_2(X1,X2),esk90_2(X1,X2)),unordered_pair(esk90_2(X1,X2),esk91_2(X1,X2))),X1)|~relation(X1))).
% 16.60/2.96  cnf(i_0_1061, plain, (esk203_2(X1,X2)=esk204_2(X1,X2)|in(esk209_3(X1,X2,X3),powerset(X1))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1046, plain, (esk203_2(X1,X2)=esk205_2(X1,X2)|in(esk209_3(X1,X2,X3),powerset(X1))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_894, plain, (empty(X1)|in(esk167_2(X1,X2),esk168_2(X1,X2))|in(esk174_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_840, plain, (empty(X1)|in(esk170_2(X1,X2),esk171_2(X1,X2))|in(esk174_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1346, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|function(esk269_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_333, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk91_2(X1,X2),esk91_2(X1,X2)),unordered_pair(esk91_2(X1,X2),esk92_2(X1,X2))),X1)|~relation(X1))).
% 16.60/2.96  cnf(i_0_764, plain, (in(esk162_5(X1,X2,X3,X4,X4),X4)|in(X3,esk159_2(X1,X2))|esk156_2(X1,X2)!=esk155_2(X1,X2)|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 16.60/2.96  cnf(i_0_364, plain, (empty(X1)|empty(X2)|element(apply_binary_as_element(X1,X2,X3,X4,X5,X6),X3)|~relation_of2(X4,cartesian_product2(X1,X2),X3)|~quasi_total(X4,cartesian_product2(X1,X2),X3)|~function(X4)|~element(X6,X2)|~element(X5,X1))).
% 16.60/2.96  cnf(i_0_1130, plain, (in(relation_image(X1,esk228_3(X2,X3,X1)),X3)|in(relation_image(X1,X4),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,esk230_3(X2,X3,X1)))).
% 16.60/2.96  cnf(i_0_1122, plain, (in(relation_image(X1,esk229_3(X2,X3,X1)),X3)|in(relation_image(X1,X4),X3)|~relation(X1)|~function(X1)|~element(X3,powerset(powerset(X2)))|~in(X4,esk230_3(X2,X3,X1)))).
% 16.60/2.96  cnf(i_0_1247, lemma, (in(apply(esk269_2(X1,X2),X3),esk270_3(X1,X2,X3))|in(esk267_2(X1,X2),X1)|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1347, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|relation(esk269_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_980, plain, (unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3))=esk193_3(X1,X2,X3)|unordered_pair(esk186_1(X1),esk186_1(X1))=esk187_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_50, 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)))).
% 16.60/2.96  cnf(i_0_64, 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)))).
% 16.60/2.96  cnf(i_0_956, plain, (unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3))=esk193_3(X1,X2,X3)|unordered_pair(esk188_1(X1),esk188_1(X1))=esk189_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_928, plain, (esk163_2(X1,X2)=esk164_2(X1,X2)|empty(X1)|in(esk175_4(X1,X2,X3,X4),esk176_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_874, plain, (esk163_2(X1,X2)=esk165_2(X1,X2)|empty(X1)|in(esk175_4(X1,X2,X3,X4),esk176_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_901, plain, (esk166_2(X1,X2)=esk168_2(X1,X2)|empty(X1)|in(esk175_4(X1,X2,X3,X4),esk176_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1292, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|function(esk269_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_183, plain, (X1=set_union2(X2,X3)|in(esk45_3(X2,X3,X1),X2)|in(esk45_3(X2,X3,X1),X3)|in(esk45_3(X2,X3,X1),X1))).
% 16.60/2.96  cnf(i_0_1627, lemma, (apply(X1,esk307_2(X1,X2))=esk306_2(X1,X2)|X2=function_inverse(X1)|apply(X1,esk305_2(X1,X2))!=esk304_2(X1,X2)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk305_2(X1,X2),relation_dom(X1)))).
% 16.60/2.96  cnf(i_0_1775, plain, (X1=esk321_4(X2,X3,X4,X5)|X5=empty_set|~epred2_3(X4,X3,X2)|~subset(esk321_4(X2,X3,X4,X5),X1)|~element(X5,powerset(powerset(esk320_3(X2,X3,X4))))|~in(esk320_3(X2,X3,X4),omega)|~in(X1,X5))).
% 16.60/2.96  cnf(i_0_1770, plain, (X1=esk323_4(X2,X3,X4,X5)|X5=empty_set|~epred2_3(X4,X3,X2)|~subset(esk323_4(X2,X3,X4,X5),X1)|~element(X5,powerset(powerset(esk322_3(X2,X3,X4))))|~in(esk322_3(X2,X3,X4),omega)|~in(X1,X5))).
% 16.60/2.96  cnf(i_0_847, plain, (esk169_2(X1,X2)=esk171_2(X1,X2)|empty(X1)|in(esk175_4(X1,X2,X3,X4),esk176_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1117, plain, (in(X1,esk230_3(X2,X3,X4))|esk229_3(X2,X3,X4)!=esk228_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))).
% 16.60/2.96  cnf(i_0_1663, lemma, (X1=relation_dom_restriction(X2,X3)|in(esk310_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))).
% 16.60/2.96  cnf(i_0_910, plain, (empty(X1)|in(esk175_4(X1,X2,X3,X4),esk176_4(X1,X2,X3,X4))|in(esk166_2(X1,X2),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_856, plain, (empty(X1)|in(esk175_4(X1,X2,X3,X4),esk176_4(X1,X2,X3,X4))|in(esk169_2(X1,X2),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1293, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|relation(esk269_2(X1,X2))|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_90, plain, (esk17_4(X1,X2,X3,X4)=X1|esk17_4(X1,X2,X3,X4)=X2|esk17_4(X1,X2,X3,X4)=X3|X4=unordered_triple(X1,X2,X3)|in(esk17_4(X1,X2,X3,X4),X4))).
% 16.60/2.96  cnf(i_0_695, lemma, (esk138_2(X1,X2)=esk135_2(X1,X2)|empty(X1)|in(X3,esk141_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk140_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_663, lemma, (esk139_2(X1,X2)=esk135_2(X1,X2)|empty(X1)|in(X3,esk141_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk140_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_140, plain, (esk32_3(X1,X2,X3)=X2|X3=fiber(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(X2,esk32_3(X1,X2,X3)),unordered_pair(esk32_3(X1,X2,X3),esk32_3(X1,X2,X3))),X1)|~in(esk32_3(X1,X2,X3),X3))).
% 16.60/2.96  cnf(i_0_993, plain, (unordered_pair(unordered_pair(esk186_1(X1),esk186_1(X1)),unordered_pair(esk186_1(X1),esk187_1(X1)))=esk184_1(X1)|in(esk192_3(X1,X2,X3),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1054, plain, (in(esk210_3(X1,X2,X3),X2)|in(esk206_2(X1,X2),X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1039, plain, (in(esk210_3(X1,X2,X3),X2)|in(esk207_2(X1,X2),X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1136, plain, (esk227_3(X1,X2,X3)=esk228_3(X1,X2,X3)|in(esk231_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk230_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1128, plain, (esk227_3(X1,X2,X3)=esk229_3(X1,X2,X3)|in(esk231_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk230_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1243, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_969, plain, (unordered_pair(unordered_pair(esk188_1(X1),esk188_1(X1)),unordered_pair(esk188_1(X1),esk189_1(X1)))=esk185_1(X1)|in(esk192_3(X1,X2,X3),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1009, plain, (X1=esk200_3(X2,X3,X4)|X4=empty_set|esk195_1(X2)!=esk196_1(X2)|~subset(esk200_3(X2,X3,X4),X1)|~element(X4,powerset(powerset(esk199_2(X2,X3))))|~ordinal(X2)|~in(esk199_2(X2,X3),omega)|~in(X3,esk197_1(X2))|~in(X1,X4))).
% 16.60/2.96  cnf(i_0_1628, lemma, (X1=function_inverse(X2)|in(esk307_2(X2,X1),relation_dom(X2))|apply(X2,esk305_2(X2,X1))!=esk304_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk305_2(X2,X1),relation_dom(X2)))).
% 16.60/2.96  cnf(i_0_1355, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|in(apply(esk269_2(X1,X2),X3),esk270_3(X1,X2,X3))|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1131, plain, (esk231_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk228_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk230_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1123, plain, (esk231_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk229_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk230_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1007, plain, (element(esk201_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk197_1(X1))|esk195_1(X1)!=esk196_1(X1)|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 16.60/2.96  cnf(i_0_949, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk190_2(X2,X3))|esk185_1(X2)!=esk184_1(X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 16.60/2.96  cnf(i_0_1301, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|in(apply(esk269_2(X1,X2),X3),esk270_3(X1,X2,X3))|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1179, plain, (ordinal(esk235_2(X1,X2))|in(X3,esk237_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1155, plain, (ordinal(esk236_2(X1,X2))|in(X3,esk237_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_206, plain, (subset(X1,X2)|in(unordered_pair(unordered_pair(esk53_2(X1,X2),esk53_2(X1,X2)),unordered_pair(esk53_2(X1,X2),esk54_2(X1,X2))),X1)|~relation(X2)|~relation(X1))).
% 16.60/2.96  cnf(i_0_1345, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|relation_dom(esk269_2(X1,X2))=X1|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1373, lemma, (in(apply(esk269_2(X1,X2),X3),esk270_3(X1,X2,X3))|in(esk267_2(X1,X2),X1)|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1632, lemma, (X1=function_inverse(X2)|in(esk304_2(X2,X1),relation_rng(X2))|apply(X1,esk306_2(X2,X1))!=esk307_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk306_2(X2,X1),relation_rng(X2)))).
% 16.60/2.96  cnf(i_0_765, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|esk156_2(X1,X4)!=esk155_2(X1,X4)|~relation(X4)|~in(X3,esk161_3(X1,X4,X2))|~in(X2,esk159_2(X1,X4)))).
% 16.60/2.96  cnf(i_0_805, plain, (esk157_2(X1,X2)=esk154_2(X1,X2)|in(X3,esk159_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk162_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 16.60/2.96  cnf(i_0_893, plain, (esk176_4(X1,X2,X3,X4)=esk174_4(X1,X2,X3,X4)|empty(X1)|in(esk167_2(X1,X2),esk168_2(X1,X2))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_839, plain, (esk176_4(X1,X2,X3,X4)=esk174_4(X1,X2,X3,X4)|empty(X1)|in(esk170_2(X1,X2),esk171_2(X1,X2))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1050, plain, (set_difference(esk206_2(X1,X2),unordered_pair(X1,X1))=esk204_2(X1,X2)|esk209_3(X1,X2,X3)=X3|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1291, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|relation_dom(esk269_2(X1,X2))=X1|empty(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1202, lemma, (unordered_pair(unordered_pair(esk246_3(X1,X2,X3),esk246_3(X1,X2,X3)),unordered_pair(esk246_3(X1,X2,X3),esk247_3(X1,X2,X3)))=X3|~in(X3,esk245_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_781, plain, (esk158_2(X1,X2)=esk154_2(X1,X2)|in(X3,esk159_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk162_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 16.60/2.96  cnf(i_0_1236, lemma, (esk270_3(X1,X2,X3)=X3|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1035, plain, (set_difference(esk207_2(X1,X2),unordered_pair(X1,X1))=esk205_2(X1,X2)|esk209_3(X1,X2,X3)=X3|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_339, plain, (X1=complements_of_subsets(X2,X3)|in(subset_complement(X2,esk93_3(X2,X3,X1)),X3)|in(esk93_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 16.60/2.96  cnf(i_0_688, lemma, (esk141_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk136_2(X1,X2),esk138_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1352, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|function(esk269_2(X1,X2))|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1460, lemma, (in(unordered_pair(unordered_pair(X1,esk283_3(X1,X2,X3)),unordered_pair(esk283_3(X1,X2,X3),esk283_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 16.60/2.96  cnf(i_0_1626, lemma, (X1=function_inverse(X2)|apply(X2,esk305_2(X2,X1))!=esk304_2(X2,X1)|apply(X1,esk306_2(X2,X1))!=esk307_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk305_2(X2,X1),relation_dom(X2))|~in(esk306_2(X2,X1),relation_rng(X2)))).
% 16.60/2.96  cnf(i_0_656, lemma, (esk141_4(X1,X2,X3,X4)=X3|empty(X1)|in(esk137_2(X1,X2),esk139_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_897, plain, (empty(X1)|in(esk173_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk167_2(X1,X2),esk168_2(X1,X2))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1053, plain, (set_difference(esk210_3(X1,X2,X3),unordered_pair(X1,X1))=X3|in(esk206_2(X1,X2),X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1038, plain, (set_difference(esk210_3(X1,X2,X3),unordered_pair(X1,X1))=X3|in(esk207_2(X1,X2),X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1364, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1365, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1353, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|relation(esk269_2(X1,X2))|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_843, plain, (empty(X1)|in(esk173_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk170_2(X1,X2),esk171_2(X1,X2))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_63, 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))).
% 16.60/2.96  cnf(i_0_49, 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))).
% 16.60/2.96  cnf(i_0_1337, lemma, (in(apply(esk269_2(X1,X2),X3),esk270_3(X1,X2,X3))|in(esk263_2(X1,X2),esk265_2(X1,X2))|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_806, plain, (esk157_2(X1,X2)=esk154_2(X1,X2)|in(esk162_5(X1,X2,X3,X4,X4),X4)|in(X3,esk159_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 16.60/2.96  cnf(i_0_782, plain, (esk158_2(X1,X2)=esk154_2(X1,X2)|in(esk162_5(X1,X2,X3,X4,X4),X4)|in(X3,esk159_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 16.60/2.96  cnf(i_0_1298, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|function(esk269_2(X1,X2))|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1283, lemma, (in(apply(esk269_2(X1,X2),X3),esk270_3(X1,X2,X3))|in(esk264_2(X1,X2),esk266_2(X1,X2))|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1629, lemma, (apply(X1,esk304_2(X2,X1))=esk305_2(X2,X1)|X1=function_inverse(X2)|apply(X1,esk306_2(X2,X1))!=esk307_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk306_2(X2,X1),relation_rng(X2)))).
% 16.60/2.96  cnf(i_0_1185, plain, (esk232_2(X1,X2)=esk233_2(X1,X2)|in(X3,esk237_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1161, plain, (esk232_2(X1,X2)=esk234_2(X1,X2)|in(X3,esk237_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1056, plain, (in(esk209_3(X1,X2,X3),powerset(X1))|in(esk206_2(X1,X2),X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1041, plain, (in(esk209_3(X1,X2,X3),powerset(X1))|in(esk207_2(X1,X2),X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1018, plain, (epred2_3(esk196_1(X1),esk195_1(X1),esk194_1(X1))|in(X2,esk197_1(X1))|esk201_3(X1,X2,X2)!=empty_set|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 16.60/2.96  cnf(i_0_1299, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|relation(esk269_2(X1,X2))|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1173, plain, (esk235_2(X1,X2)=esk233_2(X1,X2)|in(X3,esk237_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1149, plain, (esk236_2(X1,X2)=esk234_2(X1,X2)|in(X3,esk237_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_996, plain, (unordered_pair(unordered_pair(esk186_1(X1),esk186_1(X1)),unordered_pair(esk186_1(X1),esk187_1(X1)))=esk184_1(X1)|in(esk191_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1370, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1371, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_671, lemma, (empty(X1)|in(X2,esk141_4(X1,X3,X4,X2))|in(esk135_2(X1,X3),X1)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),esk140_2(X1,X3)))).
% 16.60/2.96  cnf(i_0_1351, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_972, plain, (unordered_pair(unordered_pair(esk188_1(X1),esk188_1(X1)),unordered_pair(esk188_1(X1),esk189_1(X1)))=esk185_1(X1)|in(esk191_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1167, plain, (in(X1,esk237_2(X2,X3))|in(esk235_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 16.60/2.96  cnf(i_0_1143, plain, (in(X1,esk237_2(X2,X3))|in(esk236_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 16.60/2.96  cnf(i_0_37, 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))).
% 16.60/2.96  cnf(i_0_1049, plain, (set_difference(esk206_2(X1,X2),unordered_pair(X1,X1))=esk204_2(X1,X2)|in(esk210_3(X1,X2,X3),X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1034, plain, (set_difference(esk207_2(X1,X2),unordered_pair(X1,X1))=esk205_2(X1,X2)|in(esk210_3(X1,X2,X3),X2)|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1297, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_281, plain, (in(unordered_pair(unordered_pair(X1,esk73_3(X2,relation_rng(X2),X1)),unordered_pair(esk73_3(X2,relation_rng(X2),X1),esk73_3(X2,relation_rng(X2),X1))),X2)|~relation(X2)|~in(X1,relation_rng(X2)))).
% 16.60/2.96  cnf(i_0_38, 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))).
% 16.60/2.96  cnf(i_0_1004, plain, (subset(X1,esk202_4(X2,X3,X3,X1))|in(X3,esk197_1(X2))|esk195_1(X2)!=esk196_1(X2)|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X1,esk201_3(X2,X3,X3)))).
% 16.60/2.96  cnf(i_0_229, plain, (X1=relation_dom(X2)|in(unordered_pair(unordered_pair(esk60_2(X2,X1),esk60_2(X2,X1)),unordered_pair(esk60_2(X2,X1),esk61_2(X2,X1))),X2)|in(esk60_2(X2,X1),X1)|~relation(X2))).
% 16.60/2.96  cnf(i_0_1363, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1369, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1242, lemma, (esk270_3(X1,X2,X3)=X3|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_278, plain, (X1=relation_rng(X2)|in(unordered_pair(unordered_pair(esk74_2(X2,X1),esk75_2(X2,X1)),unordered_pair(esk75_2(X2,X1),esk75_2(X2,X1))),X2)|in(esk74_2(X2,X1),X1)|~relation(X2))).
% 16.60/2.96  cnf(i_0_512, 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))).
% 16.60/2.96  cnf(i_0_682, lemma, (function(esk140_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk136_2(X1,X2),X3),unordered_pair(esk136_2(X1,X2),esk136_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk138_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1206, lemma, (in(esk252_4(X1,X2,X2,X3),esk251_3(X1,X2,X2))|in(X2,esk248_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk251_3(X1,X2,X2)))).
% 16.60/2.96  cnf(i_0_997, plain, (esk183_1(X1)=esk184_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk190_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 16.60/2.96  cnf(i_0_650, lemma, (function(esk140_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk137_2(X1,X2),X3),unordered_pair(esk137_2(X1,X2),esk137_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk139_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_787, plain, (in(X1,esk159_2(X2,X3))|in(esk154_2(X2,X3),X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk162_5(X2,X3,X1,X4,X4))),X3)|~in(X4,X2)|~in(X1,X4))).
% 16.60/2.96  cnf(i_0_683, lemma, (relation(esk140_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk136_2(X1,X2),X3),unordered_pair(esk136_2(X1,X2),esk136_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk138_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_651, lemma, (relation(esk140_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk137_2(X1,X2),X3),unordered_pair(esk137_2(X1,X2),esk137_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk139_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_788, plain, (in(esk162_5(X1,X2,X3,X4,X4),X4)|in(X3,esk159_2(X1,X2))|in(esk154_2(X1,X2),X1)|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 16.60/2.96  cnf(i_0_973, plain, (esk183_1(X1)=esk185_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk190_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 16.60/2.96  cnf(i_0_1000, plain, (unordered_pair(unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3)),unordered_pair(esk192_3(X1,X2,X3),esk193_3(X1,X2,X3)))=X3|esk183_1(X1)=esk184_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1027, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk208_2(X2,X3))|esk205_2(X2,X3)!=esk204_2(X2,X3)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~ordinal(X2)|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_1344, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|esk270_3(X1,X2,X3)=X3|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_976, plain, (unordered_pair(unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3)),unordered_pair(esk192_3(X1,X2,X3),esk193_3(X1,X2,X3)))=X3|esk183_1(X1)=esk185_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1425, lemma, (X1=empty_set|X2=empty_set|in(esk280_2(X3,X1),X1)|in(esk277_2(X4,X2),X2)|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3)))|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk276_0)|~in(X3,omega))).
% 16.60/2.96  cnf(i_0_985, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk190_2(X2,X3))|in(esk186_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 16.60/2.96  cnf(i_0_952, plain, (unordered_pair(unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3)),unordered_pair(esk192_3(X1,X2,X3),esk193_3(X1,X2,X3)))=X3|esk185_1(X1)!=esk184_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1290, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|esk270_3(X1,X2,X3)=X3|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_165, plain, (X1=X2|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk40_2(X1,X2),esk40_2(X1,X2)),unordered_pair(esk40_2(X1,X2),esk41_2(X1,X2))),X2)|~in(unordered_pair(unordered_pair(esk40_2(X1,X2),esk40_2(X1,X2)),unordered_pair(esk40_2(X1,X2),esk41_2(X1,X2))),X1))).
% 16.60/2.96  cnf(i_0_1133, plain, (esk227_3(X1,X2,X3)=esk228_3(X1,X2,X3)|in(X4,esk230_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))).
% 16.60/2.96  cnf(i_0_807, plain, (esk157_2(X1,X2)=esk154_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(X4,esk161_3(X1,X2,X3))|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_783, plain, (esk158_2(X1,X2)=esk154_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~in(X4,esk161_3(X1,X2,X3))|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_961, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),esk190_2(X2,X3))|in(esk188_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X1,X1))),cartesian_product2(X2,X3))|~in(X1,X2))).
% 16.60/2.96  cnf(i_0_1125, plain, (esk227_3(X1,X2,X3)=esk229_3(X1,X2,X3)|in(X4,esk230_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))).
% 16.60/2.96  cnf(i_0_789, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk154_2(X1,X4),X1)|~relation(X4)|~in(X3,esk161_3(X1,X4,X2))|~in(X2,esk159_2(X1,X4)))).
% 16.60/2.96  cnf(i_0_1020, plain, (epred2_3(esk196_1(X1),esk195_1(X1),esk194_1(X1))|in(X2,esk197_1(X1))|in(X2,omega)|~ordinal(X1)|~ordinal(X2)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 16.60/2.96  cnf(i_0_1051, plain, (set_difference(esk206_2(X1,X2),unordered_pair(X1,X1))=esk204_2(X1,X2)|in(esk209_3(X1,X2,X3),powerset(X1))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1036, plain, (set_difference(esk207_2(X1,X2),unordered_pair(X1,X1))=esk205_2(X1,X2)|in(esk209_3(X1,X2,X3),powerset(X1))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1334, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk263_2(X1,X2),esk265_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1280, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk264_2(X1,X2),esk266_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1335, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk263_2(X1,X2),esk265_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1328, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(esk263_2(X1,X2),esk265_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1274, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(esk264_2(X1,X2),esk266_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1329, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(esk263_2(X1,X2),esk265_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1275, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(esk264_2(X1,X2),esk266_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1281, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk264_2(X1,X2),esk266_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_892, plain, (empty(X1)|in(esk175_4(X1,X2,X3,X4),esk176_4(X1,X2,X3,X4))|in(esk167_2(X1,X2),esk168_2(X1,X2))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_619, plain, (apply_binary_as_element(X1,X2,X3,X4,X5,X6)=apply_binary(X4,X5,X6)|empty(X1)|empty(X2)|~relation_of2(X4,cartesian_product2(X1,X2),X3)|~quasi_total(X4,cartesian_product2(X1,X2),X3)|~function(X4)|~element(X6,X2)|~element(X5,X1))).
% 16.60/2.96  cnf(i_0_301, plain, (X1=relation_inverse(X2)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk78_2(X2,X1),esk78_2(X2,X1)),unordered_pair(esk78_2(X2,X1),esk79_2(X2,X1))),X1)|~in(unordered_pair(unordered_pair(esk78_2(X2,X1),esk79_2(X2,X1)),unordered_pair(esk79_2(X2,X1),esk79_2(X2,X1))),X2))).
% 16.60/2.96  cnf(i_0_687, lemma, (empty(X1)|in(esk136_2(X1,X2),esk138_2(X1,X2))|in(X3,esk141_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk140_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_655, lemma, (empty(X1)|in(esk137_2(X1,X2),esk139_2(X1,X2))|in(X3,esk141_4(X1,X2,X4,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),esk140_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_838, plain, (empty(X1)|in(esk175_4(X1,X2,X3,X4),esk176_4(X1,X2,X3,X4))|in(esk170_2(X1,X2),esk171_2(X1,X2))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_753, lemma, (X1=empty_set|X2=empty_set|in(esk152_2(X3,X1),X1)|in(esk149_2(X4,X2),X2)|~epred1_0|~element(X2,powerset(powerset(X4)))|~element(X1,powerset(powerset(X3)))|~ordinal(X4)|~ordinal(X3)|~in(X4,omega)|~in(X4,esk148_0)|~in(X3,omega))).
% 16.60/2.96  cnf(i_0_1333, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk263_2(X1,X2),esk265_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1279, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk264_2(X1,X2),esk266_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1132, plain, (in(esk231_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk228_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk230_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_331, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk86_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)))).
% 16.60/2.96  cnf(i_0_988, plain, (unordered_pair(unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3)),unordered_pair(esk192_3(X1,X2,X3),esk193_3(X1,X2,X3)))=X3|in(esk186_1(X1),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1057, plain, (esk203_2(X1,X2)=esk204_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk208_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 16.60/2.96  cnf(i_0_964, plain, (unordered_pair(unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3)),unordered_pair(esk192_3(X1,X2,X3),esk193_3(X1,X2,X3)))=X3|in(esk188_1(X1),X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1327, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk263_2(X1,X2),esk265_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1273, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(esk264_2(X1,X2),esk266_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk268_4(X1,X2,X3,esk267_2(X1,X2)))),X2)|~in(X3,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1124, plain, (in(esk231_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk229_3(X1,X2,X3)),X2)|~relation(X3)|~function(X3)|~element(X2,powerset(powerset(X1)))|~in(X4,esk230_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_115, plain, (unordered_pair(unordered_pair(esk22_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk22_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)),unordered_pair(esk22_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk23_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X3=X1)).
% 16.60/2.96  cnf(i_0_1350, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|esk270_3(X1,X2,X3)=X3|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1042, plain, (esk203_2(X1,X2)=esk205_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk208_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 16.60/2.96  cnf(i_0_1362, lemma, (esk270_3(X1,X2,X3)=X3|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_138, plain, (X1=fiber(X2,X3)|in(unordered_pair(unordered_pair(X3,esk32_3(X2,X3,X1)),unordered_pair(esk32_3(X2,X3,X1),esk32_3(X2,X3,X1))),X2)|in(esk32_3(X2,X3,X1),X1)|~relation(X2))).
% 16.60/2.96  cnf(i_0_1022, plain, (X1=empty_set|epred2_3(esk196_1(X2),esk195_1(X2),esk194_1(X2))|in(esk200_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(esk199_2(X2,X3))))|~ordinal(X2)|~in(esk199_2(X2,X3),omega)|~in(X3,esk197_1(X2)))).
% 16.60/2.96  cnf(i_0_1296, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|esk270_3(X1,X2,X3)=X3|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_159, plain, (unordered_pair(unordered_pair(esk38_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),esk37_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X3=X2)).
% 16.60/2.96  cnf(i_0_1368, lemma, (esk270_3(X1,X2,X3)=X3|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1015, plain, (epred2_3(esk196_1(X1),esk195_1(X1),esk194_1(X1))|in(X2,esk197_1(X1))|esk202_4(X1,X2,X2,X3)!=X3|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk201_3(X1,X2,X2)))).
% 16.60/2.96  cnf(i_0_638, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|esk137_2(X1,X4)!=esk136_2(X1,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk140_2(X1,X4))|~in(X3,esk141_4(X1,X4,X5,X2)))).
% 16.60/2.96  cnf(i_0_982, plain, (unordered_pair(unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3)),unordered_pair(esk192_3(X1,X2,X3),esk193_3(X1,X2,X3)))=X3|unordered_pair(esk186_1(X1),esk186_1(X1))=esk187_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_799, plain, (in(esk155_2(X1,X2),esk157_2(X1,X2))|in(X3,esk159_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk162_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 16.60/2.96  cnf(i_0_800, plain, (in(esk155_2(X1,X2),esk157_2(X1,X2))|in(esk162_5(X1,X2,X3,X4,X4),X4)|in(X3,esk159_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 16.60/2.96  cnf(i_0_776, plain, (in(esk156_2(X1,X2),esk158_2(X1,X2))|in(esk162_5(X1,X2,X3,X4,X4),X4)|in(X3,esk159_2(X1,X2))|~relation(X2)|~in(X4,X1)|~in(X3,X4))).
% 16.60/2.96  cnf(i_0_958, plain, (unordered_pair(unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3)),unordered_pair(esk192_3(X1,X2,X3),esk193_3(X1,X2,X3)))=X3|unordered_pair(esk188_1(X1),esk188_1(X1))=esk189_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_775, plain, (in(esk156_2(X1,X2),esk158_2(X1,X2))|in(X3,esk159_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,esk162_5(X1,X2,X3,X4,X4))),X2)|~in(X4,X1)|~in(X3,X4))).
% 16.60/2.96  cnf(i_0_992, plain, (unordered_pair(unordered_pair(esk186_1(X1),esk186_1(X1)),unordered_pair(esk186_1(X1),esk187_1(X1)))=esk184_1(X1)|unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3))=esk193_3(X1,X2,X3)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1005, plain, (in(esk202_4(X1,X2,X2,X3),esk201_3(X1,X2,X2))|in(X2,esk197_1(X1))|esk195_1(X1)!=esk196_1(X1)|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk201_3(X1,X2,X2)))).
% 16.60/2.96  cnf(i_0_1048, plain, (set_difference(esk206_2(X1,X2),unordered_pair(X1,X1))=esk204_2(X1,X2)|set_difference(esk210_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1033, plain, (set_difference(esk207_2(X1,X2),unordered_pair(X1,X1))=esk205_2(X1,X2)|set_difference(esk210_3(X1,X2,X3),unordered_pair(X1,X1))=X3|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(X3,esk208_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_801, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk155_2(X1,X4),esk157_2(X1,X4))|~relation(X4)|~in(X3,esk161_3(X1,X4,X2))|~in(X2,esk159_2(X1,X4)))).
% 16.60/2.96  cnf(i_0_1191, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk240_3(X3,X4,X5))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk244_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))).
% 16.60/2.96  cnf(i_0_968, plain, (unordered_pair(unordered_pair(esk188_1(X1),esk188_1(X1)),unordered_pair(esk188_1(X1),esk189_1(X1)))=esk185_1(X1)|unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3))=esk193_3(X1,X2,X3)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1129, plain, (in(relation_image(X1,esk228_3(X2,X3,X1)),X3)|in(X4,esk230_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))).
% 16.60/2.96  cnf(i_0_1121, plain, (in(relation_image(X1,esk229_3(X2,X3,X1)),X3)|in(X4,esk230_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))).
% 16.60/2.96  cnf(i_0_777, plain, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk156_2(X1,X4),esk158_2(X1,X4))|~relation(X4)|~in(X3,esk161_3(X1,X4,X2))|~in(X2,esk159_2(X1,X4)))).
% 16.60/2.96  cnf(i_0_1424, lemma, (X1=esk280_2(X2,X3)|X3=empty_set|X4=empty_set|in(esk277_2(X5,X4),X4)|~subset(esk280_2(X2,X3),X1)|~element(X4,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~ordinal(X5)|~ordinal(X2)|~in(X5,omega)|~in(X5,esk276_0)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_1423, lemma, (X1=esk277_2(X2,X3)|X4=empty_set|X3=empty_set|in(esk280_2(X5,X4),X4)|~subset(esk277_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~element(X4,powerset(powerset(X5)))|~ordinal(X2)|~ordinal(X5)|~in(X2,omega)|~in(X2,esk276_0)|~in(X5,omega)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_530, 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)))).
% 16.60/2.96  cnf(i_0_144, plain, (inclusion_relation(relation_field(X1))=X1|subset(esk33_2(relation_field(X1),X1),esk34_2(relation_field(X1),X1))|in(unordered_pair(unordered_pair(esk33_2(relation_field(X1),X1),esk33_2(relation_field(X1),X1)),unordered_pair(esk33_2(relation_field(X1),X1),esk34_2(relation_field(X1),X1))),X1)|~relation(X1))).
% 16.60/2.96  cnf(i_0_329, 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))).
% 16.60/2.96  cnf(i_0_1322, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X3),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,esk265_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_752, lemma, (X1=esk152_2(X2,X3)|X3=empty_set|X4=empty_set|in(esk149_2(X5,X4),X4)|~epred1_0|~subset(esk152_2(X2,X3),X1)|~element(X4,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~ordinal(X5)|~ordinal(X2)|~in(X5,omega)|~in(X5,esk148_0)|~in(X2,omega)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_751, lemma, (X1=esk149_2(X2,X3)|X4=empty_set|X3=empty_set|in(esk152_2(X5,X4),X4)|~epred1_0|~subset(esk149_2(X2,X3),X1)|~element(X3,powerset(powerset(X2)))|~element(X4,powerset(powerset(X5)))|~ordinal(X2)|~ordinal(X5)|~in(X2,omega)|~in(X2,esk148_0)|~in(X5,omega)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_1332, lemma, (esk270_3(X1,X2,X3)=X3|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk263_2(X1,X2),esk265_2(X1,X2))|~relation(X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_79, plain, (in(unordered_pair(unordered_pair(X1,esk11_4(X2,X3,relation_image(X2,X3),X1)),unordered_pair(esk11_4(X2,X3,relation_image(X2,X3),X1),esk11_4(X2,X3,relation_image(X2,X3),X1))),X2)|~relation(X2)|~in(X1,relation_image(X2,X3)))).
% 16.60/2.96  cnf(i_0_1268, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X3),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,esk266_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1052, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk208_2(X2,X3))|in(esk206_2(X2,X3),X3)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~ordinal(X2)|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_1037, plain, (in(set_difference(X1,unordered_pair(X2,X2)),esk208_2(X2,X3))|in(esk207_2(X2,X3),X3)|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))|~ordinal(X2)|~in(set_difference(X1,unordered_pair(X2,X2)),powerset(X2))|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_1323, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X3),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,esk265_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1278, lemma, (esk270_3(X1,X2,X3)=X3|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk264_2(X1,X2),esk266_2(X1,X2))|~relation(X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1269, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X3),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,esk266_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_979, plain, (unordered_pair(esk186_1(X1),esk186_1(X1))=esk187_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk190_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 16.60/2.96  cnf(i_0_1019, plain, (epred2_3(esk196_1(X1),esk195_1(X1),esk194_1(X1))|element(esk201_3(X1,X2,X2),powerset(powerset(X2)))|in(X2,esk197_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1))))).
% 16.60/2.96  cnf(i_0_694, lemma, (esk138_2(X1,X2)=esk135_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)),esk140_2(X1,X2))|~in(X4,esk141_4(X1,X2,X5,X3)))).
% 16.60/2.96  cnf(i_0_662, lemma, (esk139_2(X1,X2)=esk135_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)),esk140_2(X1,X2))|~in(X4,esk141_4(X1,X2,X5,X3)))).
% 16.60/2.96  cnf(i_0_189, plain, (unordered_pair(unordered_pair(esk49_3(X1,X2,X3),esk49_3(X1,X2,X3)),unordered_pair(esk49_3(X1,X2,X3),esk50_3(X1,X2,X3)))=esk48_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk48_3(X1,X2,X3),X3))).
% 16.60/2.96  cnf(i_0_1321, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X3),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,esk265_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1267, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X3),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,esk266_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1021, plain, (X1=esk200_3(X2,X3,X4)|X4=empty_set|epred2_3(esk196_1(X2),esk195_1(X2),esk194_1(X2))|~subset(esk200_3(X2,X3,X4),X1)|~element(X4,powerset(powerset(esk199_2(X2,X3))))|~ordinal(X2)|~in(esk199_2(X2,X3),omega)|~in(X3,esk197_1(X2))|~in(X1,X4))).
% 16.60/2.96  cnf(i_0_955, plain, (unordered_pair(esk188_1(X1),esk188_1(X1))=esk189_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk190_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 16.60/2.96  cnf(i_0_1235, lemma, (in(apply(esk269_2(X1,X2),X3),esk270_3(X1,X2,X3))|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1326, lemma, (esk270_3(X1,X2,X3)=X3|in(esk263_2(X1,X2),esk265_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1514, lemma, (in(unordered_pair(unordered_pair(X1,esk289_4(X2,X3,X4,X1)),unordered_pair(esk289_4(X2,X3,X4,X1),esk289_4(X2,X3,X4,X1))),X4)|relation_rng_as_subset(X2,X3,X4)!=X3|~relation_of2_as_subset(X4,X2,X3)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_298, 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))).
% 16.60/2.96  cnf(i_0_1422, lemma, (X1=esk280_2(X2,X3)|X4=esk277_2(X5,X6)|X3=empty_set|X6=empty_set|~subset(esk277_2(X5,X6),X4)|~subset(esk280_2(X2,X3),X1)|~element(X6,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~ordinal(X5)|~ordinal(X2)|~in(X5,omega)|~in(X5,esk276_0)|~in(X2,omega)|~in(X4,X6)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_1272, lemma, (esk270_3(X1,X2,X3)=X3|in(esk264_2(X1,X2),esk266_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1219, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk255_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)))).
% 16.60/2.96  cnf(i_0_75, plain, (X1=relation_image(X2,X3)|in(unordered_pair(unordered_pair(esk12_3(X2,X3,X1),esk13_3(X2,X3,X1)),unordered_pair(esk13_3(X2,X3,X1),esk13_3(X2,X3,X1))),X2)|in(esk12_3(X2,X3,X1),X1)|~relation(X2))).
% 16.60/2.96  cnf(i_0_636, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk140_2(X3,X4))|esk137_2(X3,X4)!=esk136_2(X3,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk142_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 16.60/2.96  cnf(i_0_338, 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))).
% 16.60/2.96  cnf(i_0_758, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk153_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))).
% 16.60/2.96  cnf(i_0_81, plain, (X1=relation_inverse_image(X2,X3)|in(unordered_pair(unordered_pair(esk15_3(X2,X3,X1),esk15_3(X2,X3,X1)),unordered_pair(esk15_3(X2,X3,X1),esk16_3(X2,X3,X1))),X2)|in(esk15_3(X2,X3,X1),X1)|~relation(X2))).
% 16.60/2.96  cnf(i_0_637, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk140_2(X3,X4))|in(esk142_5(X3,X4,X1,X2,X1),X1)|esk137_2(X3,X4)!=esk136_2(X3,X4)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_1241, lemma, (in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(apply(esk269_2(X1,X2),X4),esk270_3(X1,X2,X4))|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(X3,esk267_2(X1,X2))|~in(X4,X1))).
% 16.60/2.96  cnf(i_0_923, plain, (unordered_pair(unordered_pair(esk166_2(X1,X2),esk166_2(X1,X2)),unordered_pair(esk166_2(X1,X2),esk167_2(X1,X2)))=esk164_2(X1,X2)|esk173_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_750, lemma, (X1=esk152_2(X2,X3)|X4=esk149_2(X5,X6)|X3=empty_set|X6=empty_set|~epred1_0|~subset(esk149_2(X5,X6),X4)|~subset(esk152_2(X2,X3),X1)|~element(X6,powerset(powerset(X5)))|~element(X3,powerset(powerset(X2)))|~ordinal(X5)|~ordinal(X2)|~in(X5,omega)|~in(X5,esk148_0)|~in(X2,omega)|~in(X4,X6)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_670, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk135_2(X1,X4),X1)|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk140_2(X1,X4))|~in(X3,esk141_4(X1,X4,X5,X2)))).
% 16.60/2.96  cnf(i_0_869, plain, (unordered_pair(unordered_pair(esk169_2(X1,X2),esk169_2(X1,X2)),unordered_pair(esk169_2(X1,X2),esk170_2(X1,X2)))=esk165_2(X1,X2)|esk173_4(X1,X2,X3,X4)=X4|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_759, 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)),esk153_3(X5,X4,X1)))).
% 16.60/2.96  cnf(i_0_796, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk155_2(X1,X2),X3),unordered_pair(esk155_2(X1,X2),esk155_2(X1,X2))),X2)|in(X4,esk161_3(X1,X2,X4))|~relation(X2)|~in(X3,esk157_2(X1,X2))|~in(X4,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_772, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk156_2(X1,X2),X3),unordered_pair(esk156_2(X1,X2),esk156_2(X1,X2))),X2)|in(X4,esk161_3(X1,X2,X4))|~relation(X2)|~in(X3,esk158_2(X1,X2))|~in(X4,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_194, plain, (unordered_pair(unordered_pair(esk46_4(X1,X2,cartesian_product2(X1,X2),X3),esk46_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk46_4(X1,X2,cartesian_product2(X1,X2),X3),esk47_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1197, lemma, (unordered_pair(unordered_pair(esk241_4(X1,X2,X3,X4),esk241_4(X1,X2,X3,X4)),unordered_pair(esk241_4(X1,X2,X3,X4),esk242_4(X1,X2,X3,X4)))=X4|empty(X1)|~relation(X2)|~in(X4,esk240_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1343, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|in(apply(esk269_2(X1,X2),X3),esk270_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1289, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|in(apply(esk269_2(X1,X2),X3),esk270_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_47, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|in(esk3_3(X2,X3,X1),X3)|~relation(X1)|~relation(X2))).
% 16.60/2.96  cnf(i_0_798, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk155_2(X1,X2),X3),unordered_pair(esk155_2(X1,X2),esk155_2(X1,X2))),X2)|in(esk160_3(X1,X2,X4),X1)|~relation(X2)|~in(X3,esk157_2(X1,X2))|~in(X4,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_774, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk156_2(X1,X2),X3),unordered_pair(esk156_2(X1,X2),esk156_2(X1,X2))),X2)|in(esk160_3(X1,X2,X4),X1)|~relation(X2)|~in(X3,esk158_2(X1,X2))|~in(X4,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_887, plain, (esk173_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk167_2(X1,X2),X5),unordered_pair(esk167_2(X1,X2),esk167_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3))|~in(X5,esk168_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_833, plain, (esk173_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk170_2(X1,X2),X5),unordered_pair(esk170_2(X1,X2),esk170_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3))|~in(X5,esk171_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1192, lemma, (in(esk244_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)),esk240_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_61, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X1)|in(esk9_3(X2,X3,X1),X2)|~relation(X1)|~relation(X3))).
% 16.60/2.96  cnf(i_0_1361, lemma, (in(apply(esk269_2(X1,X2),X3),esk270_3(X1,X2,X3))|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_308, 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)))).
% 16.60/2.96  cnf(i_0_1016, plain, (epred2_3(esk196_1(X1),esk195_1(X1),esk194_1(X1))|subset(X2,esk202_4(X1,X3,X3,X2))|in(X3,esk197_1(X1))|~ordinal(X3)|~ordinal(X1)|~in(X3,set_union2(X1,unordered_pair(X1,X1)))|~in(X2,esk201_3(X1,X3,X3)))).
% 16.60/2.96  cnf(i_0_921, plain, (unordered_pair(unordered_pair(esk166_2(X1,X2),esk166_2(X1,X2)),unordered_pair(esk166_2(X1,X2),esk167_2(X1,X2)))=esk164_2(X1,X2)|empty(X1)|in(esk174_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_693, lemma, (esk138_2(X1,X2)=esk135_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2))|in(esk142_5(X1,X2,X3,X4,X3),X3)|~relation(X2)|~in(X4,X3)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_661, lemma, (esk139_2(X1,X2)=esk135_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2))|in(esk142_5(X1,X2,X3,X4,X3),X3)|~relation(X2)|~in(X4,X3)|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1349, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(apply(esk269_2(X1,X2),X4),esk270_3(X1,X2,X4))|~relation(X2)|~in(X3,esk267_2(X1,X2))|~in(X4,X1))).
% 16.60/2.96  cnf(i_0_867, plain, (unordered_pair(unordered_pair(esk169_2(X1,X2),esk169_2(X1,X2)),unordered_pair(esk169_2(X1,X2),esk170_2(X1,X2)))=esk165_2(X1,X2)|empty(X1)|in(esk174_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1047, plain, (set_difference(esk206_2(X1,X2),unordered_pair(X1,X1))=esk204_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk208_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 16.60/2.96  cnf(i_0_797, plain, (esk160_3(X1,X2,X3)=esk161_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk155_2(X1,X2),X4),unordered_pair(esk155_2(X1,X2),esk155_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk157_2(X1,X2))|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1032, plain, (set_difference(esk207_2(X1,X2),unordered_pair(X1,X1))=esk205_2(X1,X2)|in(set_difference(X3,unordered_pair(X1,X1)),esk208_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))|~ordinal(X1)|~in(set_difference(X3,unordered_pair(X1,X1)),powerset(X1))|~in(X3,X2))).
% 16.60/2.96  cnf(i_0_773, plain, (esk160_3(X1,X2,X3)=esk161_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk156_2(X1,X2),X4),unordered_pair(esk156_2(X1,X2),esk156_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk158_2(X1,X2))|~in(X3,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1295, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(apply(esk269_2(X1,X2),X4),esk270_3(X1,X2,X4))|~relation(X2)|~in(X3,esk267_2(X1,X2))|~in(X4,X1))).
% 16.60/2.96  cnf(i_0_1320, lemma, (esk270_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X4),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X4,esk265_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_692, lemma, (esk138_2(X1,X2)=esk135_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk142_5(X1,X2,X3,X4,X3))),X2)|~in(X3,X1)|~in(X4,X3))).
% 16.60/2.96  cnf(i_0_660, lemma, (esk139_2(X1,X2)=esk135_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk142_5(X1,X2,X3,X4,X3))),X2)|~in(X3,X1)|~in(X4,X3))).
% 16.60/2.96  cnf(i_0_1266, lemma, (esk270_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X4),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X4,esk266_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_681, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk136_2(X1,X2),X3),unordered_pair(esk136_2(X1,X2),esk136_2(X1,X2))),X2)|in(X4,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk140_2(X1,X2))|~in(X3,esk138_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_649, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk137_2(X1,X2),X3),unordered_pair(esk137_2(X1,X2),esk137_2(X1,X2))),X2)|in(X4,X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk140_2(X1,X2))|~in(X3,esk139_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1367, lemma, (in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(apply(esk269_2(X1,X2),X4),esk270_3(X1,X2,X4))|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(X3,esk267_2(X1,X2))|~in(X4,X1))).
% 16.60/2.96  cnf(i_0_1221, lemma, (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|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk255_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_817, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk172_3(X3,X4,X5))|esk165_2(X3,X4)!=esk164_2(X3,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk177_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))).
% 16.60/2.96  cnf(i_0_920, plain, (unordered_pair(unordered_pair(esk166_2(X1,X2),esk166_2(X1,X2)),unordered_pair(esk166_2(X1,X2),esk167_2(X1,X2)))=esk164_2(X1,X2)|esk176_4(X1,X2,X3,X4)=esk174_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1325, lemma, (in(apply(esk269_2(X1,X2),X3),esk270_3(X1,X2,X3))|in(esk263_2(X1,X2),esk265_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1271, lemma, (in(apply(esk269_2(X1,X2),X3),esk270_3(X1,X2,X3))|in(esk264_2(X1,X2),esk266_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X4,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_866, plain, (unordered_pair(unordered_pair(esk169_2(X1,X2),esk169_2(X1,X2)),unordered_pair(esk169_2(X1,X2),esk170_2(X1,X2)))=esk165_2(X1,X2)|esk176_4(X1,X2,X3,X4)=esk174_4(X1,X2,X3,X4)|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1193, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk242_4(X1,X2,X3,X4),X5),unordered_pair(esk242_4(X1,X2,X3,X4),esk242_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk243_4(X1,X2,X3,X4))|~in(X4,esk240_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_885, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk167_2(X1,X2),X3),unordered_pair(esk167_2(X1,X2),esk167_2(X1,X2))),X2)|in(esk174_4(X1,X2,X4,X5),X1)|~relation(X2)|~in(X5,esk172_3(X1,X2,X4))|~in(X3,esk168_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_831, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk170_2(X1,X2),X3),unordered_pair(esk170_2(X1,X2),esk170_2(X1,X2))),X2)|in(esk174_4(X1,X2,X4,X5),X1)|~relation(X2)|~in(X5,esk172_3(X1,X2,X4))|~in(X3,esk171_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_309, 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))).
% 16.60/2.96  cnf(i_0_1331, lemma, (in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(apply(esk269_2(X1,X2),X4),esk270_3(X1,X2,X4))|in(esk263_2(X1,X2),esk265_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2))|~in(X4,X1))).
% 16.60/2.96  cnf(i_0_924, plain, (unordered_pair(unordered_pair(esk166_2(X1,X2),esk166_2(X1,X2)),unordered_pair(esk166_2(X1,X2),esk167_2(X1,X2)))=esk164_2(X1,X2)|empty(X1)|in(esk173_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_48, plain, (X1=relation_dom_restriction(X2,X3)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X2)|~in(esk3_3(X2,X3,X1),X3))).
% 16.60/2.96  cnf(i_0_62, plain, (X1=relation_rng_restriction(X2,X3)|~relation(X1)|~relation(X3)|~in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X3)|~in(esk9_3(X2,X3,X1),X2))).
% 16.60/2.96  cnf(i_0_686, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk136_2(X1,X4),esk138_2(X1,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk140_2(X1,X4))|~in(X3,esk141_4(X1,X4,X5,X2)))).
% 16.60/2.96  cnf(i_0_654, lemma, (empty(X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X4)|in(esk137_2(X1,X4),esk139_2(X1,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),esk140_2(X1,X4))|~in(X3,esk141_4(X1,X4,X5,X2)))).
% 16.60/2.96  cnf(i_0_870, plain, (unordered_pair(unordered_pair(esk169_2(X1,X2),esk169_2(X1,X2)),unordered_pair(esk169_2(X1,X2),esk170_2(X1,X2)))=esk165_2(X1,X2)|empty(X1)|in(esk173_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_669, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk140_2(X3,X4))|in(esk142_5(X3,X4,X1,X2,X1),X1)|in(esk135_2(X3,X4),X3)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_1277, lemma, (in(esk268_4(X1,X2,X3,esk267_2(X1,X2)),esk267_2(X1,X2))|in(apply(esk269_2(X1,X2),X4),esk270_3(X1,X2,X4))|in(esk264_2(X1,X2),esk266_2(X1,X2))|~relation(X2)|~in(X3,esk267_2(X1,X2))|~in(X4,X1))).
% 16.60/2.96  cnf(i_0_931, plain, (unordered_pair(unordered_pair(esk174_4(X1,X2,X3,X4),esk174_4(X1,X2,X3,X4)),unordered_pair(esk174_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4)))=X4|esk163_2(X1,X2)=esk164_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_877, plain, (unordered_pair(unordered_pair(esk174_4(X1,X2,X3,X4),esk174_4(X1,X2,X3,X4)),unordered_pair(esk174_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4)))=X4|esk163_2(X1,X2)=esk165_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_884, plain, (esk176_4(X1,X2,X3,X4)=esk174_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk167_2(X1,X2),X5),unordered_pair(esk167_2(X1,X2),esk167_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3))|~in(X5,esk168_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_830, plain, (esk176_4(X1,X2,X3,X4)=esk174_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk170_2(X1,X2),X5),unordered_pair(esk170_2(X1,X2),esk170_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3))|~in(X5,esk171_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_680, lemma, (esk141_4(X1,X2,X3,X4)=X3|empty(X1)|in(unordered_pair(unordered_pair(esk136_2(X1,X2),X5),unordered_pair(esk136_2(X1,X2),esk136_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2))|~in(X5,esk138_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_648, lemma, (esk141_4(X1,X2,X3,X4)=X3|empty(X1)|in(unordered_pair(unordered_pair(esk137_2(X1,X2),X5),unordered_pair(esk137_2(X1,X2),esk137_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk140_2(X1,X2))|~in(X5,esk139_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_818, plain, (in(esk177_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)),esk172_3(X1,X2,X3))|esk165_2(X1,X2)!=esk164_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_904, plain, (unordered_pair(unordered_pair(esk174_4(X1,X2,X3,X4),esk174_4(X1,X2,X3,X4)),unordered_pair(esk174_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4)))=X4|esk166_2(X1,X2)=esk168_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_668, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk140_2(X3,X4))|in(esk135_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk142_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 16.60/2.96  cnf(i_0_850, plain, (unordered_pair(unordered_pair(esk174_4(X1,X2,X3,X4),esk174_4(X1,X2,X3,X4)),unordered_pair(esk174_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4)))=X4|esk169_2(X1,X2)=esk171_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_823, plain, (unordered_pair(unordered_pair(esk174_4(X1,X2,X3,X4),esk174_4(X1,X2,X3,X4)),unordered_pair(esk174_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4)))=X4|empty(X1)|esk165_2(X1,X2)!=esk164_2(X1,X2)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_925, plain, (esk163_2(X1,X2)=esk164_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk172_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk177_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))).
% 16.60/2.96  cnf(i_0_913, plain, (unordered_pair(unordered_pair(esk174_4(X1,X2,X3,X4),esk174_4(X1,X2,X3,X4)),unordered_pair(esk174_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk166_2(X1,X2),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1017, plain, (epred2_3(esk196_1(X1),esk195_1(X1),esk194_1(X1))|in(esk202_4(X1,X2,X2,X3),esk201_3(X1,X2,X2))|in(X2,esk197_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))|~in(X3,esk201_3(X1,X2,X2)))).
% 16.60/2.96  cnf(i_0_819, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk175_4(X1,X2,X3,X4),X5),unordered_pair(esk175_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4))),X2)|esk165_2(X1,X2)!=esk164_2(X1,X2)|~relation(X2)|~in(X5,esk176_4(X1,X2,X3,X4))|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_859, plain, (unordered_pair(unordered_pair(esk174_4(X1,X2,X3,X4),esk174_4(X1,X2,X3,X4)),unordered_pair(esk174_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk169_2(X1,X2),X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_888, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk167_2(X1,X2),X3),unordered_pair(esk167_2(X1,X2),esk167_2(X1,X2))),X2)|in(esk173_4(X1,X2,X4,X5),cartesian_product2(X1,X4))|~relation(X2)|~in(X5,esk172_3(X1,X2,X4))|~in(X3,esk168_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_834, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk170_2(X1,X2),X3),unordered_pair(esk170_2(X1,X2),esk170_2(X1,X2))),X2)|in(esk173_4(X1,X2,X4,X5),cartesian_product2(X1,X4))|~relation(X2)|~in(X5,esk172_3(X1,X2,X4))|~in(X3,esk171_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1064, plain, (unordered_pair(unordered_pair(esk220_4(X1,X2,X3,X4),esk220_4(X1,X2,X3,X4)),unordered_pair(esk220_4(X1,X2,X3,X4),esk221_4(X1,X2,X3,X4)))=X4|esk213_3(X1,X2,X3)!=esk212_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_871, plain, (esk163_2(X1,X2)=esk165_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk172_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk177_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))).
% 16.60/2.96  cnf(i_0_685, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk140_2(X3,X4))|in(esk136_2(X3,X4),esk138_2(X3,X4))|in(esk142_5(X3,X4,X1,X2,X1),X1)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_898, plain, (esk166_2(X1,X2)=esk168_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk172_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk177_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))).
% 16.60/2.96  cnf(i_0_844, plain, (esk169_2(X1,X2)=esk171_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk172_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk177_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))).
% 16.60/2.96  cnf(i_0_994, plain, (unordered_pair(unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3)),unordered_pair(esk192_3(X1,X2,X3),esk193_3(X1,X2,X3)))=X3|unordered_pair(unordered_pair(esk186_1(X1),esk186_1(X1)),unordered_pair(esk186_1(X1),esk187_1(X1)))=esk184_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_653, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk140_2(X3,X4))|in(esk137_2(X3,X4),esk139_2(X3,X4))|in(esk142_5(X3,X4,X1,X2,X1),X1)|~relation(X4)|~in(X2,X1)|~in(X1,X3))).
% 16.60/2.96  cnf(i_0_1062, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk218_3(X3,X4,X5))|esk213_3(X3,X4,X5)!=esk212_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)))).
% 16.60/2.96  cnf(i_0_970, plain, (unordered_pair(unordered_pair(esk192_3(X1,X2,X3),esk192_3(X1,X2,X3)),unordered_pair(esk192_3(X1,X2,X3),esk193_3(X1,X2,X3)))=X3|unordered_pair(unordered_pair(esk188_1(X1),esk188_1(X1)),unordered_pair(esk188_1(X1),esk189_1(X1)))=esk185_1(X1)|~in(X3,esk190_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_927, plain, (esk163_2(X1,X2)=esk164_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk175_4(X1,X2,X3,X4),X5),unordered_pair(esk175_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk176_4(X1,X2,X3,X4))|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_919, plain, (unordered_pair(unordered_pair(esk166_2(X1,X2),esk166_2(X1,X2)),unordered_pair(esk166_2(X1,X2),esk167_2(X1,X2)))=esk164_2(X1,X2)|empty(X1)|in(esk175_4(X1,X2,X3,X4),esk176_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_873, plain, (esk163_2(X1,X2)=esk165_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk175_4(X1,X2,X3,X4),X5),unordered_pair(esk175_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk176_4(X1,X2,X3,X4))|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_900, plain, (esk166_2(X1,X2)=esk168_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk175_4(X1,X2,X3,X4),X5),unordered_pair(esk175_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk176_4(X1,X2,X3,X4))|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_991, plain, (unordered_pair(unordered_pair(esk186_1(X1),esk186_1(X1)),unordered_pair(esk186_1(X1),esk187_1(X1)))=esk184_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk190_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 16.60/2.96  cnf(i_0_865, plain, (unordered_pair(unordered_pair(esk169_2(X1,X2),esk169_2(X1,X2)),unordered_pair(esk169_2(X1,X2),esk170_2(X1,X2)))=esk165_2(X1,X2)|empty(X1)|in(esk175_4(X1,X2,X3,X4),esk176_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_846, plain, (esk169_2(X1,X2)=esk171_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk175_4(X1,X2,X3,X4),X5),unordered_pair(esk175_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk176_4(X1,X2,X3,X4))|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_909, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk175_4(X1,X2,X3,X4),X5),unordered_pair(esk175_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4))),X2)|in(esk166_2(X1,X2),X1)|~relation(X2)|~in(X5,esk176_4(X1,X2,X3,X4))|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_855, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk175_4(X1,X2,X3,X4),X5),unordered_pair(esk175_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4))),X2)|in(esk169_2(X1,X2),X1)|~relation(X2)|~in(X5,esk176_4(X1,X2,X3,X4))|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_895, plain, (unordered_pair(unordered_pair(esk174_4(X1,X2,X3,X4),esk174_4(X1,X2,X3,X4)),unordered_pair(esk174_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk167_2(X1,X2),esk168_2(X1,X2))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_684, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk140_2(X3,X4))|in(esk136_2(X3,X4),esk138_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk142_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 16.60/2.96  cnf(i_0_967, plain, (unordered_pair(unordered_pair(esk188_1(X1),esk188_1(X1)),unordered_pair(esk188_1(X1),esk189_1(X1)))=esk185_1(X1)|in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),esk190_2(X1,X3))|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X2,X2))),cartesian_product2(X1,X3))|~in(X2,X1))).
% 16.60/2.96  cnf(i_0_1090, plain, (unordered_pair(unordered_pair(esk214_3(X1,X2,X3),esk214_3(X1,X2,X3)),unordered_pair(esk214_3(X1,X2,X3),esk215_3(X1,X2,X3)))=esk212_3(X1,X2,X3)|esk219_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1075, plain, (unordered_pair(unordered_pair(esk216_3(X1,X2,X3),esk216_3(X1,X2,X3)),unordered_pair(esk216_3(X1,X2,X3),esk217_3(X1,X2,X3)))=esk213_3(X1,X2,X3)|esk219_4(X1,X2,X3,X4)=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_899, plain, (esk166_2(X1,X2)=esk168_2(X1,X2)|in(esk177_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)),esk172_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_841, plain, (unordered_pair(unordered_pair(esk174_4(X1,X2,X3,X4),esk174_4(X1,X2,X3,X4)),unordered_pair(esk174_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk170_2(X1,X2),esk171_2(X1,X2))|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_652, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk140_2(X3,X4))|in(esk137_2(X3,X4),esk139_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk142_5(X3,X4,X1,X2,X1))),X4)|~in(X1,X3)|~in(X2,X1))).
% 16.60/2.96  cnf(i_0_907, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk172_3(X3,X4,X5))|in(esk166_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk177_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))).
% 16.60/2.96  cnf(i_0_853, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk172_3(X3,X4,X5))|in(esk169_2(X3,X4),X3)|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk177_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))).
% 16.60/2.96  cnf(i_0_1094, plain, (unordered_pair(unordered_pair(esk220_4(X1,X2,X3,X4),esk220_4(X1,X2,X3,X4)),unordered_pair(esk220_4(X1,X2,X3,X4),esk221_4(X1,X2,X3,X4)))=X4|esk211_3(X1,X2,X3)=esk212_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1246, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk267_2(X1,X2),X1)|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_883, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk167_2(X1,X2),X3),unordered_pair(esk167_2(X1,X2),esk167_2(X1,X2))),X2)|in(esk175_4(X1,X2,X4,X5),esk176_4(X1,X2,X4,X5))|~relation(X2)|~in(X5,esk172_3(X1,X2,X4))|~in(X3,esk168_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_845, plain, (esk169_2(X1,X2)=esk171_2(X1,X2)|in(esk177_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)),esk172_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_1079, plain, (unordered_pair(unordered_pair(esk220_4(X1,X2,X3,X4),esk220_4(X1,X2,X3,X4)),unordered_pair(esk220_4(X1,X2,X3,X4),esk221_4(X1,X2,X3,X4)))=X4|esk211_3(X1,X2,X3)=esk213_3(X1,X2,X3)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_328, plain, (X1=relation_composition(X2,X3)|~relation(X1)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk87_3(X2,X3,X1),esk87_3(X2,X3,X1)),unordered_pair(esk87_3(X2,X3,X1),esk88_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk87_3(X2,X3,X1),X4),unordered_pair(esk87_3(X2,X3,X1),esk87_3(X2,X3,X1))),X2)|~in(unordered_pair(unordered_pair(X4,esk88_3(X2,X3,X1)),unordered_pair(X4,X4)),X3))).
% 16.60/2.96  cnf(i_0_829, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk170_2(X1,X2),X3),unordered_pair(esk170_2(X1,X2),esk170_2(X1,X2))),X2)|in(esk175_4(X1,X2,X4,X5),esk176_4(X1,X2,X4,X5))|~relation(X2)|~in(X5,esk172_3(X1,X2,X4))|~in(X3,esk171_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_891, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk175_4(X1,X2,X3,X4),X5),unordered_pair(esk175_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4))),X2)|in(esk167_2(X1,X2),esk168_2(X1,X2))|~relation(X2)|~in(X5,esk176_4(X1,X2,X3,X4))|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_837, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk175_4(X1,X2,X3,X4),X5),unordered_pair(esk175_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4))),X2)|in(esk170_2(X1,X2),esk171_2(X1,X2))|~relation(X2)|~in(X5,esk176_4(X1,X2,X3,X4))|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_679, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk136_2(X1,X2),X3),unordered_pair(esk136_2(X1,X2),esk136_2(X1,X2))),X2)|in(X4,esk141_4(X1,X2,X5,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),esk140_2(X1,X2))|~in(X3,esk138_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_647, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk137_2(X1,X2),X3),unordered_pair(esk137_2(X1,X2),esk137_2(X1,X2))),X2)|in(X4,esk141_4(X1,X2,X5,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X4),unordered_pair(X5,X5)),esk140_2(X1,X2))|~in(X3,esk139_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1316, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X3),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X3,esk265_2(X1,X2))|~in(X4,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1354, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1300, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1372, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk267_2(X1,X2),X1)|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1262, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X3),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X3,esk266_2(X1,X2))|~in(X4,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1319, lemma, (in(unordered_pair(unordered_pair(esk263_2(X1,X2),X3),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|in(apply(esk269_2(X1,X2),X4),esk270_3(X1,X2,X4))|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,esk265_2(X1,X2))|~in(X4,X1))).
% 16.60/2.96  cnf(i_0_1265, lemma, (in(unordered_pair(unordered_pair(esk264_2(X1,X2),X3),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|in(apply(esk269_2(X1,X2),X4),esk270_3(X1,X2,X4))|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X3,esk266_2(X1,X2))|~in(X4,X1))).
% 16.60/2.96  cnf(i_0_1310, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X3),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X3,esk265_2(X1,X2))|~in(X4,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1256, lemma, (function(esk269_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X3),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X3,esk266_2(X1,X2))|~in(X4,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1311, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X3),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X3,esk265_2(X1,X2))|~in(X4,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1257, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X3),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X3,esk266_2(X1,X2))|~in(X4,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_330, plain, (in(unordered_pair(unordered_pair(X1,esk86_5(X2,X3,relation_composition(X2,X3),X4,X1)),unordered_pair(esk86_5(X2,X3,relation_composition(X2,X3),X4,X1),esk86_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)))).
% 16.60/2.96  cnf(i_0_164, plain, (X1=X2|in(unordered_pair(unordered_pair(esk40_2(X1,X2),esk40_2(X1,X2)),unordered_pair(esk40_2(X1,X2),esk41_2(X1,X2))),X1)|in(unordered_pair(unordered_pair(esk40_2(X1,X2),esk40_2(X1,X2)),unordered_pair(esk40_2(X1,X2),esk41_2(X1,X2))),X2)|~relation(X2)|~relation(X1))).
% 16.60/2.96  cnf(i_0_793, plain, (in(unordered_pair(unordered_pair(esk155_2(X1,X2),X3),unordered_pair(esk155_2(X1,X2),esk155_2(X1,X2))),X2)|in(X4,esk159_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk162_5(X1,X2,X4,X5,X5))),X2)|~in(X3,esk157_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 16.60/2.96  cnf(i_0_769, plain, (in(unordered_pair(unordered_pair(esk156_2(X1,X2),X3),unordered_pair(esk156_2(X1,X2),esk156_2(X1,X2))),X2)|in(X4,esk159_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk162_5(X1,X2,X4,X5,X5))),X2)|~in(X3,esk158_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 16.60/2.96  cnf(i_0_1336, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk263_2(X1,X2),esk265_2(X1,X2))|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_794, plain, (in(unordered_pair(unordered_pair(esk155_2(X1,X2),X3),unordered_pair(esk155_2(X1,X2),esk155_2(X1,X2))),X2)|in(esk162_5(X1,X2,X4,X5,X5),X5)|in(X4,esk159_2(X1,X2))|~relation(X2)|~in(X3,esk157_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 16.60/2.96  cnf(i_0_770, plain, (in(unordered_pair(unordered_pair(esk156_2(X1,X2),X3),unordered_pair(esk156_2(X1,X2),esk156_2(X1,X2))),X2)|in(esk162_5(X1,X2,X4,X5,X5),X5)|in(X4,esk159_2(X1,X2))|~relation(X2)|~in(X3,esk158_2(X1,X2))|~in(X5,X1)|~in(X4,X5))).
% 16.60/2.96  cnf(i_0_1317, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X3),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X3,esk265_2(X1,X2))|~in(X4,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1282, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk264_2(X1,X2),esk266_2(X1,X2))|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_889, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk172_3(X3,X4,X5))|in(esk167_2(X3,X4),esk168_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk177_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))).
% 16.60/2.96  cnf(i_0_835, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),esk172_3(X3,X4,X5))|in(esk170_2(X3,X4),esk171_2(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk177_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))).
% 16.60/2.96  cnf(i_0_1092, plain, (esk211_3(X1,X2,X3)=esk212_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk218_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)))).
% 16.60/2.96  cnf(i_0_1077, plain, (esk211_3(X1,X2,X3)=esk213_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk218_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)))).
% 16.60/2.96  cnf(i_0_300, plain, (X1=relation_inverse(X2)|in(unordered_pair(unordered_pair(esk78_2(X2,X1),esk79_2(X2,X1)),unordered_pair(esk79_2(X2,X1),esk79_2(X2,X1))),X2)|in(unordered_pair(unordered_pair(esk78_2(X2,X1),esk78_2(X2,X1)),unordered_pair(esk78_2(X2,X1),esk79_2(X2,X1))),X1)|~relation(X1)|~relation(X2))).
% 16.60/2.96  cnf(i_0_795, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk155_2(X1,X2),X3),unordered_pair(esk155_2(X1,X2),esk155_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(X5,esk161_3(X1,X2,X4))|~in(X3,esk157_2(X1,X2))|~in(X4,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_771, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk156_2(X1,X2),X3),unordered_pair(esk156_2(X1,X2),esk156_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X2)|~relation(X2)|~in(X5,esk161_3(X1,X2,X4))|~in(X3,esk158_2(X1,X2))|~in(X4,esk159_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1309, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X3),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X3,esk265_2(X1,X2))|~in(X4,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1255, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X3),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk268_4(X1,X2,X4,esk267_2(X1,X2)))),X2)|~in(X3,esk266_2(X1,X2))|~in(X4,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1263, lemma, (relation(esk269_2(X1,X2))|empty(X1)|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X3),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X3,esk266_2(X1,X2))|~in(X4,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1091, plain, (unordered_pair(unordered_pair(esk214_3(X1,X2,X3),esk214_3(X1,X2,X3)),unordered_pair(esk214_3(X1,X2,X3),esk215_3(X1,X2,X3)))=esk212_3(X1,X2,X3)|in(esk219_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_926, plain, (esk163_2(X1,X2)=esk164_2(X1,X2)|in(esk177_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)),esk172_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_872, plain, (esk163_2(X1,X2)=esk165_2(X1,X2)|in(esk177_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)),esk172_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_1076, plain, (unordered_pair(unordered_pair(esk216_3(X1,X2,X3),esk216_3(X1,X2,X3)),unordered_pair(esk216_3(X1,X2,X3),esk217_3(X1,X2,X3)))=esk213_3(X1,X2,X3)|in(esk219_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1315, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X3),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X3,esk265_2(X1,X2))|~in(X4,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1261, lemma, (relation_dom(esk269_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X3),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X3,esk266_2(X1,X2))|~in(X4,esk267_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_908, plain, (in(esk177_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)),esk172_3(X1,X2,X3))|in(esk166_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_306, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk80_3(X1,X2,X3),esk80_3(X1,X2,X3)),unordered_pair(esk80_3(X1,X2,X3),esk81_3(X1,X2,X3))),X1)|in(esk80_3(X1,X2,X3),relation_field(X1))|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X3))).
% 16.60/2.96  cnf(i_0_1308, lemma, (esk270_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X4),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk268_4(X1,X2,X5,esk267_2(X1,X2)))),X2)|~in(X4,esk265_2(X1,X2))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1254, lemma, (esk270_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X4),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk268_4(X1,X2,X5,esk267_2(X1,X2)))),X2)|~in(X4,esk266_2(X1,X2))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_305, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk80_3(X1,X2,X3),esk80_3(X1,X2,X3)),unordered_pair(esk80_3(X1,X2,X3),esk81_3(X1,X2,X3))),X1)|in(esk81_3(X1,X2,X3),relation_field(X1))|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X3))).
% 16.60/2.96  cnf(i_0_1314, lemma, (esk270_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X4),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|in(esk268_4(X1,X2,X5,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X4,esk265_2(X1,X2))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1260, lemma, (esk270_3(X1,X2,X3)=X3|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X4),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|in(esk268_4(X1,X2,X5,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X4,esk266_2(X1,X2))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_854, plain, (in(esk177_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)),esk172_3(X1,X2,X3))|in(esk169_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_1220, lemma, (in(unordered_pair(unordered_pair(apply(X1,esk256_4(X2,X3,X1,X4)),apply(X1,esk256_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk256_4(X2,X3,X1,X4)),apply(X1,esk257_4(X2,X3,X1,X4)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk255_3(X2,X3,X1)))).
% 16.60/2.96  cnf(i_0_890, plain, (in(esk177_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)),esk172_3(X1,X2,X3))|in(esk167_2(X1,X2),esk168_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_1085, plain, (esk219_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk214_3(X1,X2,X3)),apply(X3,esk214_3(X1,X2,X3))),unordered_pair(apply(X3,esk214_3(X1,X2,X3)),apply(X3,esk215_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_836, plain, (in(esk177_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)),esk172_3(X1,X2,X3))|in(esk170_2(X1,X2),esk171_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_1234, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk268_4(X1,X2,X5,esk267_2(X1,X2)))),X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_678, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk136_2(X1,X2),X3),unordered_pair(esk136_2(X1,X2),esk136_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)),esk140_2(X1,X2))|~in(X5,esk141_4(X1,X2,X6,X4))|~in(X3,esk138_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1070, plain, (esk219_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk216_3(X1,X2,X3)),apply(X3,esk216_3(X1,X2,X3))),unordered_pair(apply(X3,esk216_3(X1,X2,X3)),apply(X3,esk217_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_646, lemma, (empty(X1)|in(unordered_pair(unordered_pair(esk137_2(X1,X2),X3),unordered_pair(esk137_2(X1,X2),esk137_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)),esk140_2(X1,X2))|~in(X5,esk141_4(X1,X2,X6,X4))|~in(X3,esk139_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1240, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk268_4(X1,X2,X5,esk267_2(X1,X2)),esk267_2(X1,X2))|esk264_2(X1,X2)!=esk263_2(X1,X2)|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1063, plain, (in(unordered_pair(unordered_pair(apply(X1,esk220_4(X2,X3,X1,X4)),apply(X1,esk220_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk220_4(X2,X3,X1,X4)),apply(X1,esk221_4(X2,X3,X1,X4)))),X3)|esk213_3(X2,X3,X1)!=esk212_3(X2,X3,X1)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk218_3(X2,X3,X1)))).
% 16.60/2.96  cnf(i_0_1342, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk268_4(X1,X2,X5,esk267_2(X1,X2)))),X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1093, plain, (esk211_3(X1,X2,X3)=esk212_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk220_4(X1,X2,X3,X4)),apply(X3,esk220_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk220_4(X1,X2,X3,X4)),apply(X3,esk221_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1288, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk268_4(X1,X2,X5,esk267_2(X1,X2)))),X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1348, lemma, (esk262_2(X1,X2)=esk265_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk268_4(X1,X2,X5,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1078, plain, (esk211_3(X1,X2,X3)=esk213_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk220_4(X1,X2,X3,X4)),apply(X3,esk220_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk220_4(X1,X2,X3,X4)),apply(X3,esk221_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1360, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk268_4(X1,X2,X5,esk267_2(X1,X2)))),X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_307, 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,esk80_3(X1,X2,X3)),apply(X3,esk80_3(X1,X2,X3))),unordered_pair(apply(X3,esk80_3(X1,X2,X3)),apply(X3,esk81_3(X1,X2,X3)))),X2)|~in(unordered_pair(unordered_pair(esk80_3(X1,X2,X3),esk80_3(X1,X2,X3)),unordered_pair(esk80_3(X1,X2,X3),esk81_3(X1,X2,X3))),X1)|~in(esk80_3(X1,X2,X3),relation_field(X1))|~in(esk81_3(X1,X2,X3),relation_field(X1)))).
% 16.60/2.96  cnf(i_0_677, lemma, (in(unordered_pair(unordered_pair(esk136_2(X1,X2),X3),unordered_pair(esk136_2(X1,X2),esk136_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk140_2(X1,X2))|in(esk142_5(X1,X2,X4,X5,X4),X4)|~relation(X2)|~in(X3,esk138_2(X1,X2))|~in(X5,X4)|~in(X4,X1))).
% 16.60/2.96  cnf(i_0_1307, lemma, (in(unordered_pair(unordered_pair(esk263_2(X1,X2),X3),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|in(apply(esk269_2(X1,X2),X4),esk270_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk268_4(X1,X2,X5,esk267_2(X1,X2)))),X2)|~in(X3,esk265_2(X1,X2))|~in(X5,esk267_2(X1,X2))|~in(X4,X1))).
% 16.60/2.96  cnf(i_0_1294, lemma, (esk266_2(X1,X2)=esk262_2(X1,X2)|in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk268_4(X1,X2,X5,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_645, lemma, (in(unordered_pair(unordered_pair(esk137_2(X1,X2),X3),unordered_pair(esk137_2(X1,X2),esk137_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk140_2(X1,X2))|in(esk142_5(X1,X2,X4,X5,X4),X4)|~relation(X2)|~in(X3,esk139_2(X1,X2))|~in(X5,X4)|~in(X4,X1))).
% 16.60/2.96  cnf(i_0_1253, lemma, (in(unordered_pair(unordered_pair(esk264_2(X1,X2),X3),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|in(apply(esk269_2(X1,X2),X4),esk270_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk268_4(X1,X2,X5,esk267_2(X1,X2)))),X2)|~in(X3,esk266_2(X1,X2))|~in(X5,esk267_2(X1,X2))|~in(X4,X1))).
% 16.60/2.96  cnf(i_0_676, lemma, (in(unordered_pair(unordered_pair(esk136_2(X1,X2),X3),unordered_pair(esk136_2(X1,X2),esk136_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk140_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk142_5(X1,X2,X4,X5,X4))),X2)|~in(X3,esk138_2(X1,X2))|~in(X4,X1)|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_1086, plain, (in(unordered_pair(unordered_pair(apply(X1,esk214_3(X2,X3,X1)),apply(X1,esk214_3(X2,X3,X1))),unordered_pair(apply(X1,esk214_3(X2,X3,X1)),apply(X1,esk215_3(X2,X3,X1)))),X3)|in(esk219_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~relation(X1)|~relation(X3)|~function(X1)|~in(X4,esk218_3(X2,X3,X1)))).
% 16.60/2.96  cnf(i_0_1366, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk268_4(X1,X2,X5,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk262_2(X1,X2),X1)|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1313, lemma, (in(unordered_pair(unordered_pair(esk263_2(X1,X2),X3),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|in(apply(esk269_2(X1,X2),X5),esk270_3(X1,X2,X5))|~relation(X2)|~in(X3,esk265_2(X1,X2))|~in(X4,esk267_2(X1,X2))|~in(X5,X1))).
% 16.60/2.96  cnf(i_0_1259, lemma, (in(unordered_pair(unordered_pair(esk264_2(X1,X2),X3),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|in(esk268_4(X1,X2,X4,esk267_2(X1,X2)),esk267_2(X1,X2))|in(apply(esk269_2(X1,X2),X5),esk270_3(X1,X2,X5))|~relation(X2)|~in(X3,esk266_2(X1,X2))|~in(X4,esk267_2(X1,X2))|~in(X5,X1))).
% 16.60/2.96  cnf(i_0_1071, plain, (in(unordered_pair(unordered_pair(apply(X1,esk216_3(X2,X3,X1)),apply(X1,esk216_3(X2,X3,X1))),unordered_pair(apply(X1,esk216_3(X2,X3,X1)),apply(X1,esk217_3(X2,X3,X1)))),X3)|in(esk219_4(X2,X3,X1,X4),cartesian_product2(X2,X2))|~relation(X1)|~relation(X3)|~function(X1)|~in(X4,esk218_3(X2,X3,X1)))).
% 16.60/2.96  cnf(i_0_1330, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk268_4(X1,X2,X5,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk263_2(X1,X2),esk265_2(X1,X2))|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_922, plain, (unordered_pair(unordered_pair(esk174_4(X1,X2,X3,X4),esk174_4(X1,X2,X3,X4)),unordered_pair(esk174_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk166_2(X1,X2),esk166_2(X1,X2)),unordered_pair(esk166_2(X1,X2),esk167_2(X1,X2)))=esk164_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_644, lemma, (in(unordered_pair(unordered_pair(esk137_2(X1,X2),X3),unordered_pair(esk137_2(X1,X2),esk137_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk140_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk142_5(X1,X2,X4,X5,X4))),X2)|~in(X3,esk139_2(X1,X2))|~in(X4,X1)|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_1324, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk263_2(X1,X2),esk265_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk268_4(X1,X2,X5,esk267_2(X1,X2)))),X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_868, plain, (unordered_pair(unordered_pair(esk174_4(X1,X2,X3,X4),esk174_4(X1,X2,X3,X4)),unordered_pair(esk174_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4)))=X4|unordered_pair(unordered_pair(esk169_2(X1,X2),esk169_2(X1,X2)),unordered_pair(esk169_2(X1,X2),esk170_2(X1,X2)))=esk165_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1270, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk264_2(X1,X2),esk266_2(X1,X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk268_4(X1,X2,X5,esk267_2(X1,X2)))),X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1276, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(esk268_4(X1,X2,X5,esk267_2(X1,X2)),esk267_2(X1,X2))|in(esk264_2(X1,X2),esk266_2(X1,X2))|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_886, plain, (unordered_pair(unordered_pair(esk174_4(X1,X2,X3,X4),esk174_4(X1,X2,X3,X4)),unordered_pair(esk174_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk167_2(X1,X2),X5),unordered_pair(esk167_2(X1,X2),esk167_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3))|~in(X5,esk168_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_1318, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X5),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk265_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_46, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X2))).
% 16.60/2.96  cnf(i_0_60, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3))).
% 16.60/2.96  cnf(i_0_832, plain, (unordered_pair(unordered_pair(esk174_4(X1,X2,X3,X4),esk174_4(X1,X2,X3,X4)),unordered_pair(esk174_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk170_2(X1,X2),X5),unordered_pair(esk170_2(X1,X2),esk170_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk172_3(X1,X2,X3))|~in(X5,esk171_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_918, plain, (unordered_pair(unordered_pair(esk166_2(X1,X2),esk166_2(X1,X2)),unordered_pair(esk166_2(X1,X2),esk167_2(X1,X2)))=esk164_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk175_4(X1,X2,X3,X4),X5),unordered_pair(esk175_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk176_4(X1,X2,X3,X4))|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_864, plain, (unordered_pair(unordered_pair(esk169_2(X1,X2),esk169_2(X1,X2)),unordered_pair(esk169_2(X1,X2),esk170_2(X1,X2)))=esk165_2(X1,X2)|empty(X1)|in(unordered_pair(unordered_pair(esk175_4(X1,X2,X3,X4),X5),unordered_pair(esk175_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4))),X2)|~relation(X2)|~in(X5,esk176_4(X1,X2,X3,X4))|~in(X4,esk172_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_882, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk175_4(X1,X2,X3,X4),X5),unordered_pair(esk175_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4))),X2)|in(unordered_pair(unordered_pair(esk167_2(X1,X2),X6),unordered_pair(esk167_2(X1,X2),esk167_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk176_4(X1,X2,X3,X4))|~in(X4,esk172_3(X1,X2,X3))|~in(X6,esk168_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_880, plain, (in(unordered_pair(unordered_pair(esk167_2(X1,X2),X3),unordered_pair(esk167_2(X1,X2),esk167_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk172_3(X1,X2,X6))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk177_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,esk168_2(X1,X2))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_327, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk87_3(X2,X3,X1),esk87_3(X2,X3,X1)),unordered_pair(esk87_3(X2,X3,X1),esk89_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk87_3(X2,X3,X1),esk87_3(X2,X3,X1)),unordered_pair(esk87_3(X2,X3,X1),esk88_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 16.60/2.96  cnf(i_0_826, plain, (in(unordered_pair(unordered_pair(esk170_2(X1,X2),X3),unordered_pair(esk170_2(X1,X2),esk170_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk172_3(X1,X2,X6))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,esk177_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,esk171_2(X1,X2))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_916, plain, (unordered_pair(unordered_pair(esk166_2(X1,X2),esk166_2(X1,X2)),unordered_pair(esk166_2(X1,X2),esk167_2(X1,X2)))=esk164_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk172_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk177_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))).
% 16.60/2.96  cnf(i_0_862, plain, (unordered_pair(unordered_pair(esk169_2(X1,X2),esk169_2(X1,X2)),unordered_pair(esk169_2(X1,X2),esk170_2(X1,X2)))=esk165_2(X1,X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk172_3(X1,X2,X5))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,esk177_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))).
% 16.60/2.96  cnf(i_0_326, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk88_3(X2,X3,X1),esk89_3(X2,X3,X1)),unordered_pair(esk89_3(X2,X3,X1),esk89_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk87_3(X2,X3,X1),esk87_3(X2,X3,X1)),unordered_pair(esk87_3(X2,X3,X1),esk88_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 16.60/2.96  cnf(i_0_828, plain, (empty(X1)|in(unordered_pair(unordered_pair(esk175_4(X1,X2,X3,X4),X5),unordered_pair(esk175_4(X1,X2,X3,X4),esk175_4(X1,X2,X3,X4))),X2)|in(unordered_pair(unordered_pair(esk170_2(X1,X2),X6),unordered_pair(esk170_2(X1,X2),esk170_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk176_4(X1,X2,X3,X4))|~in(X4,esk172_3(X1,X2,X3))|~in(X6,esk171_2(X1,X2)))).
% 16.60/2.96  cnf(i_0_881, plain, (in(unordered_pair(unordered_pair(esk167_2(X1,X2),X3),unordered_pair(esk167_2(X1,X2),esk167_2(X1,X2))),X2)|in(esk177_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)),esk172_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),cartesian_product2(X1,X4))|~in(X3,esk168_2(X1,X2))|~in(X6,X5))).
% 16.60/2.96  cnf(i_0_1264, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X5),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|in(esk267_2(X1,X2),X1)|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk266_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_827, plain, (in(unordered_pair(unordered_pair(esk170_2(X1,X2),X3),unordered_pair(esk170_2(X1,X2),esk170_2(X1,X2))),X2)|in(esk177_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)),esk172_3(X1,X2,X4))|~relation(X2)|~in(unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5)),cartesian_product2(X1,X4))|~in(X3,esk171_2(X1,X2))|~in(X6,X5))).
% 16.60/2.96  cnf(i_0_917, plain, (unordered_pair(unordered_pair(esk166_2(X1,X2),esk166_2(X1,X2)),unordered_pair(esk166_2(X1,X2),esk167_2(X1,X2)))=esk164_2(X1,X2)|in(esk177_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)),esk172_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_1089, plain, (unordered_pair(unordered_pair(esk214_3(X1,X2,X3),esk214_3(X1,X2,X3)),unordered_pair(esk214_3(X1,X2,X3),esk215_3(X1,X2,X3)))=esk212_3(X1,X2,X3)|unordered_pair(unordered_pair(esk220_4(X1,X2,X3,X4),esk220_4(X1,X2,X3,X4)),unordered_pair(esk220_4(X1,X2,X3,X4),esk221_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_863, plain, (unordered_pair(unordered_pair(esk169_2(X1,X2),esk169_2(X1,X2)),unordered_pair(esk169_2(X1,X2),esk170_2(X1,X2)))=esk165_2(X1,X2)|in(esk177_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)),esk172_3(X1,X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),cartesian_product2(X1,X3))|~in(X5,X4))).
% 16.60/2.96  cnf(i_0_1074, plain, (unordered_pair(unordered_pair(esk216_3(X1,X2,X3),esk216_3(X1,X2,X3)),unordered_pair(esk216_3(X1,X2,X3),esk217_3(X1,X2,X3)))=esk213_3(X1,X2,X3)|unordered_pair(unordered_pair(esk220_4(X1,X2,X3,X4),esk220_4(X1,X2,X3,X4)),unordered_pair(esk220_4(X1,X2,X3,X4),esk221_4(X1,X2,X3,X4)))=X4|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1088, plain, (unordered_pair(unordered_pair(esk214_3(X1,X2,X3),esk214_3(X1,X2,X3)),unordered_pair(esk214_3(X1,X2,X3),esk215_3(X1,X2,X3)))=esk212_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk220_4(X1,X2,X3,X4)),apply(X3,esk220_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk220_4(X1,X2,X3,X4)),apply(X3,esk221_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1073, plain, (unordered_pair(unordered_pair(esk216_3(X1,X2,X3),esk216_3(X1,X2,X3)),unordered_pair(esk216_3(X1,X2,X3),esk217_3(X1,X2,X3)))=esk213_3(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk220_4(X1,X2,X3,X4)),apply(X3,esk220_4(X1,X2,X3,X4))),unordered_pair(apply(X3,esk220_4(X1,X2,X3,X4)),apply(X3,esk221_4(X1,X2,X3,X4)))),X2)|~relation(X2)|~relation(X3)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1087, plain, (unordered_pair(unordered_pair(esk214_3(X1,X2,X3),esk214_3(X1,X2,X3)),unordered_pair(esk214_3(X1,X2,X3),esk215_3(X1,X2,X3)))=esk212_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk218_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)))).
% 16.60/2.96  cnf(i_0_1084, plain, (unordered_pair(unordered_pair(esk220_4(X1,X2,X3,X4),esk220_4(X1,X2,X3,X4)),unordered_pair(esk220_4(X1,X2,X3,X4),esk221_4(X1,X2,X3,X4)))=X4|in(unordered_pair(unordered_pair(apply(X3,esk214_3(X1,X2,X3)),apply(X3,esk214_3(X1,X2,X3))),unordered_pair(apply(X3,esk214_3(X1,X2,X3)),apply(X3,esk215_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1306, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X5),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,esk268_4(X1,X2,X6,esk267_2(X1,X2)))),X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk265_2(X1,X2))|~in(X6,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1252, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X5),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,esk268_4(X1,X2,X6,esk267_2(X1,X2)))),X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk266_2(X1,X2))|~in(X6,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1069, plain, (unordered_pair(unordered_pair(esk220_4(X1,X2,X3,X4),esk220_4(X1,X2,X3,X4)),unordered_pair(esk220_4(X1,X2,X3,X4),esk221_4(X1,X2,X3,X4)))=X4|in(unordered_pair(unordered_pair(apply(X3,esk216_3(X1,X2,X3)),apply(X3,esk216_3(X1,X2,X3))),unordered_pair(apply(X3,esk216_3(X1,X2,X3)),apply(X3,esk217_3(X1,X2,X3)))),X2)|~relation(X3)|~relation(X2)|~function(X3)|~in(X4,esk218_3(X1,X2,X3)))).
% 16.60/2.96  cnf(i_0_1072, plain, (unordered_pair(unordered_pair(esk216_3(X1,X2,X3),esk216_3(X1,X2,X3)),unordered_pair(esk216_3(X1,X2,X3),esk217_3(X1,X2,X3)))=esk213_3(X1,X2,X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk218_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)))).
% 16.60/2.96  cnf(i_0_1312, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk263_2(X1,X2),X5),unordered_pair(esk263_2(X1,X2),esk263_2(X1,X2))),X2)|in(esk268_4(X1,X2,X6,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk265_2(X1,X2))|~in(X6,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_1258, lemma, (in(unordered_pair(unordered_pair(apply(esk269_2(X1,X2),X3),X4),unordered_pair(apply(esk269_2(X1,X2),X3),apply(esk269_2(X1,X2),X3))),X2)|in(unordered_pair(unordered_pair(esk264_2(X1,X2),X5),unordered_pair(esk264_2(X1,X2),esk264_2(X1,X2))),X2)|in(esk268_4(X1,X2,X6,esk267_2(X1,X2)),esk267_2(X1,X2))|~relation(X2)|~in(X4,esk270_3(X1,X2,X3))|~in(X5,esk266_2(X1,X2))|~in(X6,esk267_2(X1,X2))|~in(X3,X1))).
% 16.60/2.96  cnf(i_0_304, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk80_3(X1,X2,X3)),apply(X3,esk80_3(X1,X2,X3))),unordered_pair(apply(X3,esk80_3(X1,X2,X3)),apply(X3,esk81_3(X1,X2,X3)))),X2)|in(unordered_pair(unordered_pair(esk80_3(X1,X2,X3),esk80_3(X1,X2,X3)),unordered_pair(esk80_3(X1,X2,X3),esk81_3(X1,X2,X3))),X1)|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X2)|~relation(X1)|~relation(X3)|~function(X3))).
% 16.60/2.96  cnf(i_0_1083, plain, (in(unordered_pair(unordered_pair(apply(X1,esk220_4(X2,X3,X1,X4)),apply(X1,esk220_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk220_4(X2,X3,X1,X4)),apply(X1,esk221_4(X2,X3,X1,X4)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk214_3(X2,X3,X1)),apply(X1,esk214_3(X2,X3,X1))),unordered_pair(apply(X1,esk214_3(X2,X3,X1)),apply(X1,esk215_3(X2,X3,X1)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk218_3(X2,X3,X1)))).
% 16.60/2.96  cnf(i_0_1068, plain, (in(unordered_pair(unordered_pair(apply(X1,esk220_4(X2,X3,X1,X4)),apply(X1,esk220_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk220_4(X2,X3,X1,X4)),apply(X1,esk221_4(X2,X3,X1,X4)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk216_3(X2,X3,X1)),apply(X1,esk216_3(X2,X3,X1))),unordered_pair(apply(X1,esk216_3(X2,X3,X1)),apply(X1,esk217_3(X2,X3,X1)))),X3)|~relation(X3)|~relation(X1)|~function(X1)|~in(X4,esk218_3(X2,X3,X1)))).
% 16.60/2.96  cnf(i_0_1082, plain, (in(unordered_pair(unordered_pair(apply(X1,esk214_3(X2,X3,X1)),apply(X1,esk214_3(X2,X3,X1))),unordered_pair(apply(X1,esk214_3(X2,X3,X1)),apply(X1,esk215_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk218_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)))).
% 16.60/2.96  cnf(i_0_1067, plain, (in(unordered_pair(unordered_pair(apply(X1,esk216_3(X2,X3,X1)),apply(X1,esk216_3(X2,X3,X1))),unordered_pair(apply(X1,esk216_3(X2,X3,X1)),apply(X1,esk217_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk218_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)))).
% 16.60/2.96  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 16.60/2.96  # Begin printing tableau
% 16.60/2.96  # Found 5 steps
% 16.60/2.96  cnf(i_0_1531, negated_conjecture, (join_semilatt_str(esk290_0)), inference(start_rule)).
% 16.60/2.96  cnf(i_0_2289, plain, (join_semilatt_str(esk290_0)), inference(extension_rule, [i_0_398])).
% 16.60/2.96  cnf(i_0_2306, plain, (one_sorted_str(esk290_0)), inference(extension_rule, [i_0_445])).
% 16.60/2.96  cnf(i_0_2380, plain, (empty_carrier(esk290_0)), inference(closure_rule, [i_0_1533])).
% 16.60/2.96  cnf(i_0_2382, plain, (~empty(the_carrier(esk290_0))), inference(etableau_closure_rule, [i_0_2382, ...])).
% 16.60/2.96  # End printing tableau
% 16.60/2.96  # SZS output end
% 16.60/2.96  # Branches closed with saturation will be marked with an "s"
% 16.60/2.97  # Child (5169) has found a proof.
% 16.60/2.97  
% 16.60/2.97  # Proof search is over...
% 16.60/2.97  # Freeing feature tree
%------------------------------------------------------------------------------