TSTP Solution File: SEU250+2 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU250+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 09:25:13 EDT 2022
% Result : Theorem 8.14s 1.60s
% Output : CNFRefutation 8.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU250+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 13:10:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 # No SInE strategy applied
% 0.20/0.49 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.20/0.49 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.20/0.49 #
% 0.20/0.49 # Presaturation interreduction done
% 0.20/0.49 # Number of axioms: 629 Number of unprocessed: 565
% 0.20/0.49 # Tableaux proof search.
% 0.20/0.49 # APR header successfully linked.
% 0.20/0.49 # Hello from C++
% 0.20/0.49 # The folding up rule is enabled...
% 0.20/0.49 # Local unification is enabled...
% 0.20/0.49 # Any saturation attempts will use folding labels...
% 0.20/0.49 # 565 beginning clauses after preprocessing and clausification
% 0.20/0.49 # Creating start rules for all 2 conjectures.
% 0.20/0.49 # There are 2 start rule candidates:
% 0.20/0.49 # Found 83 unit axioms.
% 0.20/0.49 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.49 # 2 start rule tableaux created.
% 0.20/0.49 # 482 extension rule candidate clauses
% 0.20/0.49 # 83 unit axiom clauses
% 0.20/0.49
% 0.20/0.49 # Requested 8, 32 cores available to the main process.
% 0.20/0.49 # There are not enough tableaux to fork, creating more from the initial 2
% 0.20/0.49 # Returning from population with 12 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.49 # We now have 12 tableaux to operate on
% 8.14/1.60 # There were 2 total branch saturation attempts.
% 8.14/1.60 # There were 0 of these attempts blocked.
% 8.14/1.60 # There were 0 deferred branch saturation attempts.
% 8.14/1.60 # There were 0 free duplicated saturations.
% 8.14/1.60 # There were 2 total successful branch saturations.
% 8.14/1.60 # There were 0 successful branch saturations in interreduction.
% 8.14/1.60 # There were 0 successful branch saturations on the branch.
% 8.14/1.60 # There were 2 successful branch saturations after the branch.
% 8.14/1.60 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.14/1.60 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.14/1.60 # Begin clausification derivation
% 8.14/1.60
% 8.14/1.60 # End clausification derivation
% 8.14/1.60 # Begin listing active clauses obtained from FOF to CNF conversion
% 8.14/1.60 cnf(i_0_500, negated_conjecture, (relation(esk105_0))).
% 8.14/1.60 cnf(i_0_303, plain, (relation(empty_set))).
% 8.14/1.60 cnf(i_0_607, lemma, (relation_dom(empty_set)=empty_set)).
% 8.14/1.60 cnf(i_0_401, plain, (relation(esk87_0))).
% 8.14/1.60 cnf(i_0_405, plain, (relation(esk89_0))).
% 8.14/1.60 cnf(i_0_412, plain, (relation(esk92_0))).
% 8.14/1.60 cnf(i_0_419, plain, (relation(esk93_0))).
% 8.14/1.60 cnf(i_0_420, plain, (relation(esk94_0))).
% 8.14/1.60 cnf(i_0_427, plain, (relation(esk97_0))).
% 8.14/1.60 cnf(i_0_606, lemma, (relation_rng(empty_set)=empty_set)).
% 8.14/1.60 cnf(i_0_433, plain, (relation(esk99_0))).
% 8.14/1.60 cnf(i_0_304, plain, (empty(empty_set))).
% 8.14/1.60 cnf(i_0_436, plain, (relation(esk100_0))).
% 8.14/1.60 cnf(i_0_406, plain, (empty(esk89_0))).
% 8.14/1.60 cnf(i_0_409, plain, (empty(esk91_0))).
% 8.14/1.60 cnf(i_0_411, plain, (empty(esk92_0))).
% 8.14/1.60 cnf(i_0_416, plain, (empty(esk93_0))).
% 8.14/1.60 cnf(i_0_321, plain, (function(empty_set))).
% 8.14/1.60 cnf(i_0_400, plain, (function(esk87_0))).
% 8.14/1.60 cnf(i_0_410, plain, (function(esk92_0))).
% 8.14/1.60 cnf(i_0_418, plain, (function(esk93_0))).
% 8.14/1.60 cnf(i_0_426, plain, (function(esk97_0))).
% 8.14/1.60 cnf(i_0_434, plain, (function(esk100_0))).
% 8.14/1.60 cnf(i_0_316, plain, (ordinal(empty_set))).
% 8.14/1.60 cnf(i_0_402, plain, (ordinal(esk88_0))).
% 8.14/1.60 cnf(i_0_413, plain, (ordinal(esk93_0))).
% 8.14/1.60 cnf(i_0_428, plain, (ordinal(esk98_0))).
% 8.14/1.60 cnf(i_0_318, plain, (epsilon_transitive(empty_set))).
% 8.14/1.60 cnf(i_0_404, plain, (epsilon_transitive(esk88_0))).
% 8.14/1.60 cnf(i_0_415, plain, (epsilon_transitive(esk93_0))).
% 8.14/1.60 cnf(i_0_430, plain, (epsilon_transitive(esk98_0))).
% 8.14/1.60 cnf(i_0_317, plain, (epsilon_connected(empty_set))).
% 8.14/1.60 cnf(i_0_403, plain, (epsilon_connected(esk88_0))).
% 8.14/1.60 cnf(i_0_414, plain, (epsilon_connected(esk93_0))).
% 8.14/1.60 cnf(i_0_429, plain, (epsilon_connected(esk98_0))).
% 8.14/1.60 cnf(i_0_320, plain, (one_to_one(empty_set))).
% 8.14/1.60 cnf(i_0_417, plain, (one_to_one(esk93_0))).
% 8.14/1.60 cnf(i_0_425, plain, (one_to_one(esk97_0))).
% 8.14/1.60 cnf(i_0_302, plain, (relation_empty_yielding(empty_set))).
% 8.14/1.60 cnf(i_0_432, plain, (relation_empty_yielding(esk99_0))).
% 8.14/1.60 cnf(i_0_435, plain, (relation_empty_yielding(esk100_0))).
% 8.14/1.60 cnf(i_0_289, plain, (relation(identity_relation(X1)))).
% 8.14/1.60 cnf(i_0_518, lemma, (subset(empty_set,X1))).
% 8.14/1.60 cnf(i_0_443, plain, (subset(X1,X1))).
% 8.14/1.60 cnf(i_0_422, plain, (empty(esk95_1(X1)))).
% 8.14/1.60 cnf(i_0_314, plain, (function(identity_relation(X1)))).
% 8.14/1.60 cnf(i_0_626, lemma, (relation_dom(identity_relation(X1))=X1)).
% 8.14/1.60 cnf(i_0_653, lemma, (union(powerset(X1))=X1)).
% 8.14/1.60 cnf(i_0_625, lemma, (relation_rng(identity_relation(X1))=X1)).
% 8.14/1.60 cnf(i_0_578, plain, (set_difference(empty_set,X1)=empty_set)).
% 8.14/1.60 cnf(i_0_493, plain, (set_union2(X1,empty_set)=X1)).
% 8.14/1.60 cnf(i_0_550, plain, (set_difference(X1,empty_set)=X1)).
% 8.14/1.60 cnf(i_0_354, plain, (set_union2(X1,X1)=X1)).
% 8.14/1.60 cnf(i_0_496, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))).
% 8.14/1.60 cnf(i_0_464, lemma, (in(X1,esk101_1(X1)))).
% 8.14/1.60 cnf(i_0_658, plain, (in(X1,esk122_1(X1)))).
% 8.14/1.60 cnf(i_0_275, plain, (element(X1,powerset(X1)))).
% 8.14/1.60 cnf(i_0_297, plain, (element(esk77_1(X1),X1))).
% 8.14/1.60 cnf(i_0_634, lemma, (subset(X1,set_union2(X1,X2)))).
% 8.14/1.60 cnf(i_0_536, lemma, (subset(set_difference(X1,X2),X1))).
% 8.14/1.60 cnf(i_0_423, plain, (element(esk95_1(X1),powerset(X1)))).
% 8.14/1.60 cnf(i_0_514, plain, (set_difference(X1,X1)=empty_set)).
% 8.14/1.60 cnf(i_0_546, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))).
% 8.14/1.60 cnf(i_0_558, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))).
% 8.14/1.60 cnf(i_0_448, lemma, (in(X1,set_union2(X1,unordered_pair(X1,X1))))).
% 8.14/1.60 cnf(i_0_86, plain, (set_meet(empty_set)=empty_set)).
% 8.14/1.60 cnf(i_0_118, plain, (in(X1,unordered_pair(X2,X1)))).
% 8.14/1.60 cnf(i_0_119, plain, (in(X1,unordered_pair(X1,X2)))).
% 8.14/1.60 cnf(i_0_75, plain, (in(X1,unordered_triple(X2,X3,X1)))).
% 8.14/1.60 cnf(i_0_76, plain, (in(X1,unordered_triple(X2,X1,X3)))).
% 8.14/1.60 cnf(i_0_77, plain, (in(X1,unordered_triple(X1,X2,X3)))).
% 8.14/1.60 cnf(i_0_14, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 8.14/1.60 cnf(i_0_15, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 8.14/1.60 cnf(i_0_16, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))).
% 8.14/1.60 cnf(i_0_421, plain, (~empty(esk94_0))).
% 8.14/1.60 cnf(i_0_424, plain, (~empty(esk96_0))).
% 8.14/1.60 cnf(i_0_431, plain, (~empty(esk98_0))).
% 8.14/1.60 cnf(i_0_311, plain, (~empty(powerset(X1)))).
% 8.14/1.60 cnf(i_0_359, plain, (~proper_subset(X1,X1))).
% 8.14/1.60 cnf(i_0_363, lemma, (unordered_pair(X1,X1)!=empty_set)).
% 8.14/1.60 cnf(i_0_334, plain, (~empty(unordered_pair(X1,X2)))).
% 8.14/1.60 cnf(i_0_309, plain, (~empty(set_union2(X1,unordered_pair(X1,X1))))).
% 8.14/1.60 cnf(i_0_99, plain, (~in(X1,empty_set))).
% 8.14/1.60 cnf(i_0_499, negated_conjecture, (~subset(relation_field(relation_restriction(esk105_0,esk104_0)),relation_field(esk105_0))|~subset(relation_field(relation_restriction(esk105_0,esk104_0)),esk104_0))).
% 8.14/1.60 cnf(i_0_6, plain, (relation(X1)|~empty(X1))).
% 8.14/1.60 cnf(i_0_622, plain, (X1=empty_set|~empty(X1))).
% 8.14/1.60 cnf(i_0_3, plain, (function(X1)|~empty(X1))).
% 8.14/1.60 cnf(i_0_284, plain, (relation(relation_inverse(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_557, lemma, (X1=empty_set|~subset(X1,empty_set))).
% 8.14/1.60 cnf(i_0_277, plain, (relation(relation_restriction(X1,X2))|~relation(X1))).
% 8.14/1.60 cnf(i_0_348, plain, (relation(relation_dom(X1))|~empty(X1))).
% 8.14/1.60 cnf(i_0_631, plain, (~empty(X1)|~in(X2,X1))).
% 8.14/1.60 cnf(i_0_608, lemma, (~subset(X1,X2)|~proper_subset(X2,X1))).
% 8.14/1.60 cnf(i_0_11, plain, (ordinal(X1)|~empty(X1))).
% 8.14/1.60 cnf(i_0_13, plain, (epsilon_transitive(X1)|~empty(X1))).
% 8.14/1.60 cnf(i_0_5, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_12, plain, (epsilon_connected(X1)|~empty(X1))).
% 8.14/1.60 cnf(i_0_4, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_407, plain, (empty(X1)|~empty(esk90_1(X1)))).
% 8.14/1.60 cnf(i_0_218, plain, (union(X1)=X1|~being_limit_ordinal(X1))).
% 8.14/1.60 cnf(i_0_217, plain, (being_limit_ordinal(X1)|union(X1)!=X1)).
% 8.14/1.60 cnf(i_0_350, plain, (relation(relation_rng(X1))|~empty(X1))).
% 8.14/1.60 cnf(i_0_300, plain, (relation(relation_inverse(X1))|~empty(X1))).
% 8.14/1.60 cnf(i_0_10, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 8.14/1.60 cnf(i_0_190, plain, (antisymmetric(X1)|~well_ordering(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_189, plain, (connected(X1)|~well_ordering(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_191, plain, (transitive(X1)|~well_ordering(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_188, plain, (well_founded_relation(X1)|~well_ordering(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_104, plain, (epsilon_transitive(X1)|~subset(esk28_1(X1),X1))).
% 8.14/1.60 cnf(i_0_258, plain, (subset(X1,X2)|~proper_subset(X1,X2))).
% 8.14/1.60 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 8.14/1.60 cnf(i_0_2, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))).
% 8.14/1.60 cnf(i_0_141, plain, (epsilon_connected(X1)|esk41_1(X1)!=esk40_1(X1))).
% 8.14/1.60 cnf(i_0_192, plain, (reflexive(X1)|~well_ordering(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_273, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_612, lemma, (X1=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 8.14/1.60 cnf(i_0_611, lemma, (X1=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 8.14/1.60 cnf(i_0_641, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 8.14/1.60 cnf(i_0_335, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 8.14/1.60 cnf(i_0_326, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 8.14/1.60 cnf(i_0_122, plain, (well_founded_relation(X1)|esk33_1(X1)!=empty_set|~relation(X1))).
% 8.14/1.60 cnf(i_0_346, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 8.14/1.60 cnf(i_0_292, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1))).
% 8.14/1.60 cnf(i_0_294, plain, (relation(relation_rng_restriction(X1,X2))|~relation(X2))).
% 8.14/1.60 cnf(i_0_375, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)).
% 8.14/1.60 cnf(i_0_349, plain, (empty(relation_dom(X1))|~empty(X1))).
% 8.14/1.60 cnf(i_0_347, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 8.14/1.60 cnf(i_0_112, plain, (empty(X1)|~element(X1,X2)|~empty(X2))).
% 8.14/1.60 cnf(i_0_365, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_351, plain, (empty(relation_rng(X1))|~empty(X1))).
% 8.14/1.60 cnf(i_0_301, plain, (empty(relation_inverse(X1))|~empty(X1))).
% 8.14/1.60 cnf(i_0_338, plain, (ordinal(union(X1))|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_340, plain, (epsilon_transitive(union(X1))|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_339, plain, (epsilon_connected(union(X1))|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_357, plain, (relation_inverse(relation_inverse(X1))=X1|~relation(X1))).
% 8.14/1.60 cnf(i_0_377, lemma, (antisymmetric(X1)|esk83_1(X1)!=esk82_1(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_384, lemma, (connected(X1)|esk85_1(X1)!=esk84_1(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_142, plain, (epsilon_connected(X1)|~in(esk40_1(X1),esk41_1(X1)))).
% 8.14/1.60 cnf(i_0_537, lemma, (relation_rng(relation_inverse(X1))=relation_dom(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_47, plain, (antisymmetric(X1)|~is_antisymmetric_in(X1,relation_field(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_67, plain, (connected(X1)|~is_connected_in(X1,relation_field(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_69, plain, (transitive(X1)|~is_transitive_in(X1,relation_field(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_604, lemma, (well_founded_relation(X1)|~is_well_founded_in(X1,relation_field(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_613, lemma, (relation_dom(X1)=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 8.14/1.60 cnf(i_0_538, lemma, (relation_dom(relation_inverse(X1))=relation_rng(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_140, plain, (epsilon_connected(X1)|~in(esk41_1(X1),esk40_1(X1)))).
% 8.14/1.60 cnf(i_0_7, plain, (one_to_one(X1)|~empty(X1))).
% 8.14/1.60 cnf(i_0_494, plain, (element(X1,X2)|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_646, lemma, (well_ordering(X1)|~well_orders(X1,relation_field(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_81, plain, (relation(X1)|in(esk20_1(X1),X1))).
% 8.14/1.60 cnf(i_0_260, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_553, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 8.14/1.60 cnf(i_0_324, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_333, plain, (relation(set_difference(X1,X2))|~relation(X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_614, lemma, (relation_rng(X1)=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 8.14/1.60 cnf(i_0_374, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))).
% 8.14/1.60 cnf(i_0_616, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))).
% 8.14/1.60 cnf(i_0_636, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))).
% 8.14/1.60 cnf(i_0_214, plain, (is_antisymmetric_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_287, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_24, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 8.14/1.60 cnf(i_0_272, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_98, plain, (X1=empty_set|in(esk26_1(X1),X1))).
% 8.14/1.60 cnf(i_0_460, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))).
% 8.14/1.60 cnf(i_0_213, plain, (is_connected_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_215, plain, (is_transitive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_212, plain, (is_well_founded_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_603, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 8.14/1.60 cnf(i_0_391, lemma, (subset(X1,union(X2))|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_48, plain, (is_antisymmetric_in(X1,relation_field(X1))|~antisymmetric(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_68, plain, (is_connected_in(X1,relation_field(X1))|~connected(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_561, lemma, (being_limit_ordinal(X1)|ordinal(esk111_1(X1))|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_111, plain, (element(X1,X2)|~empty(X2)|~empty(X1))).
% 8.14/1.60 cnf(i_0_635, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)).
% 8.14/1.60 cnf(i_0_233, plain, (one_to_one(X1)|esk68_1(X1)!=esk67_1(X1)|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_508, lemma, (ordinal(X1)|~ordinal(X2)|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_522, lemma, (ordinal(X1)|in(esk107_1(X1),X1))).
% 8.14/1.60 cnf(i_0_70, plain, (is_transitive_in(X1,relation_field(X1))|~transitive(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_261, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_605, lemma, (is_well_founded_in(X1,relation_field(X1))|~well_founded_relation(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_645, lemma, (well_orders(X1,relation_field(X1))|~well_ordering(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_565, lemma, (being_limit_ordinal(X1)|ordinal(esk112_1(X1))|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_105, plain, (epsilon_transitive(X1)|in(esk28_1(X1),X1))).
% 8.14/1.60 cnf(i_0_444, plain, (disjoint(X1,X2)|~disjoint(X2,X1))).
% 8.14/1.60 cnf(i_0_551, lemma, (~in(X1,X2)|~in(X3,X1)|~in(X2,X3))).
% 8.14/1.60 cnf(i_0_554, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))).
% 8.14/1.60 cnf(i_0_544, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))).
% 8.14/1.60 cnf(i_0_144, plain, (epsilon_connected(X1)|in(esk40_1(X1),X1))).
% 8.14/1.60 cnf(i_0_298, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 8.14/1.60 cnf(i_0_352, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 8.14/1.60 cnf(i_0_143, plain, (epsilon_connected(X1)|in(esk41_1(X1),X1))).
% 8.14/1.60 cnf(i_0_545, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))).
% 8.14/1.60 cnf(i_0_149, plain, (subset(X1,X2)|~in(esk44_2(X1,X2),X2))).
% 8.14/1.60 cnf(i_0_640, lemma, (subset(relation_dom_restriction(X1,X2),X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_454, lemma, (subset(relation_rng_restriction(X1,X2),X2)|~relation(X2))).
% 8.14/1.60 cnf(i_0_106, plain, (subset(X1,X2)|~epsilon_transitive(X2)|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_216, plain, (is_reflexive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_632, plain, (~in(X1,esk121_2(X2,X3))|~in(X2,X3)|~in(X1,X3))).
% 8.14/1.60 cnf(i_0_580, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))).
% 8.14/1.60 cnf(i_0_442, plain, (ordinal_subset(X1,X1)|~ordinal(X2)|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_153, plain, (is_well_founded_in(X1,X2)|esk46_2(X1,X2)!=empty_set|~relation(X1))).
% 8.14/1.60 cnf(i_0_552, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 8.14/1.60 cnf(i_0_495, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))).
% 8.14/1.60 cnf(i_0_123, plain, (well_founded_relation(X1)|subset(esk33_1(X1),relation_field(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_259, plain, (relation_inverse(X1)=function_inverse(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_474, lemma, (relation_image(X1,relation_dom(X1))=relation_rng(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_343, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 8.14/1.60 cnf(i_0_114, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 8.14/1.60 cnf(i_0_504, lemma, (in(X1,X2)|~epsilon_transitive(X1)|~ordinal(X2)|~proper_subset(X1,X2))).
% 8.14/1.60 cnf(i_0_256, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))).
% 8.14/1.60 cnf(i_0_441, plain, (subset(X1,X2)|~ordinal_subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_659, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))).
% 8.14/1.60 cnf(i_0_648, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))).
% 8.14/1.60 cnf(i_0_484, lemma, (in(X1,X2)|~relation(X2)|~in(X1,relation_restriction(X2,X3)))).
% 8.14/1.60 cnf(i_0_408, plain, (element(esk90_1(X1),powerset(X1))|empty(X1))).
% 8.14/1.60 cnf(i_0_521, lemma, (ordinal(X1)|~subset(esk107_1(X1),X1)|~ordinal(esk107_1(X1)))).
% 8.14/1.60 cnf(i_0_597, lemma, (~element(X1,powerset(X2))|~in(X3,subset_complement(X2,X1))|~in(X3,X1))).
% 8.14/1.60 cnf(i_0_327, plain, (function(relation_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_609, lemma, (one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_535, lemma, (apply(identity_relation(X1),X2)=X2|~in(X2,X1))).
% 8.14/1.60 cnf(i_0_490, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_field(relation_restriction(X3,X2))))).
% 8.14/1.60 cnf(i_0_623, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))).
% 8.14/1.60 cnf(i_0_491, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(X1,relation_field(relation_restriction(X2,X3))))).
% 8.14/1.60 cnf(i_0_299, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 8.14/1.60 cnf(i_0_560, lemma, (being_limit_ordinal(X1)|in(esk111_1(X1),X1)|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_231, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)).
% 8.14/1.60 cnf(i_0_174, plain, (is_antisymmetric_in(X1,X2)|esk52_2(X1,X2)!=esk51_2(X1,X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_222, plain, (is_connected_in(X1,X2)|esk64_2(X1,X2)!=esk63_2(X1,X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_395, lemma, (element(X1,powerset(X2))|~in(esk86_2(X1,X2),X2))).
% 8.14/1.60 cnf(i_0_353, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 8.14/1.60 cnf(i_0_336, plain, (function(relation_dom_restriction(X1,X2))|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_344, plain, (function(relation_rng_restriction(X1,X2))|~relation(X2)|~function(X2))).
% 8.14/1.60 cnf(i_0_305, plain, (relation_empty_yielding(relation_dom_restriction(X1,X2))|~relation_empty_yielding(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_598, lemma, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_470, lemma, (subset(relation_image(X1,X2),relation_rng(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_440, plain, (ordinal_subset(X1,X2)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_572, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2))))).
% 8.14/1.60 cnf(i_0_481, lemma, (subset(relation_inverse_image(X1,X2),relation_dom(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_372, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_453, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),X1)|~relation(X2))).
% 8.14/1.60 cnf(i_0_485, lemma, (X1=empty_set|relation_inverse_image(X2,X1)!=empty_set|~subset(X1,relation_rng(X2))|~relation(X2))).
% 8.14/1.60 cnf(i_0_599, lemma, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_219, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_187, plain, (well_ordering(X1)|~reflexive(X1)|~well_founded_relation(X1)|~transitive(X1)|~connected(X1)|~antisymmetric(X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_639, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_dom(relation_dom_restriction(X3,X2))))).
% 8.14/1.60 cnf(i_0_452, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_rng(relation_rng_restriction(X2,X3))))).
% 8.14/1.60 cnf(i_0_651, lemma, (relation_composition(identity_relation(X1),X2)=relation_dom_restriction(X2,X1)|~relation(X2))).
% 8.14/1.60 cnf(i_0_386, lemma, (connected(X1)|in(esk84_1(X1),relation_field(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_385, lemma, (connected(X1)|in(esk85_1(X1),relation_field(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_150, plain, (subset(X1,X2)|in(esk44_2(X1,X2),X1))).
% 8.14/1.60 cnf(i_0_151, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 8.14/1.60 cnf(i_0_610, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))).
% 8.14/1.60 cnf(i_0_633, plain, (in(esk121_2(X1,X2),X2)|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_80, plain, (relation(X1)|esk20_1(X1)!=unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))).
% 8.14/1.60 cnf(i_0_361, lemma, (reflexive(X1)|in(esk78_1(X1),relation_field(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_647, lemma, (subset(set_union2(X1,X2),X3)|~subset(X2,X3)|~subset(X1,X3))).
% 8.14/1.60 cnf(i_0_511, lemma, (subset(relation_dom(X1),relation_dom(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_510, lemma, (subset(relation_rng(X1),relation_rng(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_366, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))).
% 8.14/1.60 cnf(i_0_437, plain, (union_of_subsets(X1,X2)=union(X2)|~element(X2,powerset(powerset(X1))))).
% 8.14/1.60 cnf(i_0_438, plain, (meet_of_subsets(X1,X2)=set_meet(X2)|~element(X2,powerset(powerset(X1))))).
% 8.14/1.60 cnf(i_0_555, lemma, (disjoint(X1,X2)|in(esk110_2(X1,X2),X2))).
% 8.14/1.60 cnf(i_0_310, plain, (relation(set_difference(X1,set_difference(X1,X2)))|~relation(X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_513, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))).
% 8.14/1.60 cnf(i_0_449, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))).
% 8.14/1.60 cnf(i_0_556, lemma, (disjoint(X1,X2)|in(esk110_2(X1,X2),X1))).
% 8.14/1.60 cnf(i_0_462, lemma, (in(powerset(X1),esk101_1(X2))|~in(X1,esk101_1(X2)))).
% 8.14/1.60 cnf(i_0_209, plain, (subset_complement(X1,X2)=set_difference(X1,X2)|~element(X2,powerset(X1)))).
% 8.14/1.60 cnf(i_0_121, plain, (well_founded_relation(X1)|~disjoint(fiber(X1,X2),esk33_1(X1))|~relation(X1)|~in(X2,esk33_1(X1)))).
% 8.14/1.60 cnf(i_0_615, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))).
% 8.14/1.60 cnf(i_0_505, lemma, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1))).
% 8.14/1.60 cnf(i_0_367, lemma, (subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))|~relation(X2))).
% 8.14/1.60 cnf(i_0_652, lemma, (subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_455, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))|~relation(X2))).
% 8.14/1.60 cnf(i_0_489, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X1))=relation_restriction(X2,X1)|~relation(X2))).
% 8.14/1.60 cnf(i_0_638, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(X1,relation_dom(relation_dom_restriction(X2,X3))))).
% 8.14/1.60 cnf(i_0_451, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(X1,relation_rng(relation_rng_restriction(X3,X2))))).
% 8.14/1.60 cnf(i_0_376, lemma, (in(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 8.14/1.60 cnf(i_0_487, lemma, (relation_dom_restriction(relation_rng_restriction(X1,X2),X1)=relation_restriction(X2,X1)|~relation(X2))).
% 8.14/1.60 cnf(i_0_154, plain, (is_well_founded_in(X1,X2)|subset(esk46_2(X1,X2),X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_390, lemma, (X1=unordered_pair(X2,X2)|X1=empty_set|~subset(X1,unordered_pair(X2,X2)))).
% 8.14/1.60 cnf(i_0_543, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X2,X3)|~in(X1,X3))).
% 8.14/1.60 cnf(i_0_17, plain, (ordinal_subset(X1,X2)|ordinal_subset(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_232, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))).
% 8.14/1.60 cnf(i_0_579, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 8.14/1.60 cnf(i_0_307, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.14/1.60 cnf(i_0_329, plain, (ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_331, plain, (epsilon_transitive(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_364, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_330, plain, (epsilon_connected(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_457, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))).
% 8.14/1.60 cnf(i_0_456, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))).
% 8.14/1.60 cnf(i_0_236, plain, (one_to_one(X1)|in(esk67_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_396, lemma, (element(X1,powerset(X2))|in(esk86_2(X1,X2),X1))).
% 8.14/1.60 cnf(i_0_517, plain, (X1=X2|~in(esk106_2(X1,X2),X2)|~in(esk106_2(X1,X2),X1))).
% 8.14/1.60 cnf(i_0_356, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))).
% 8.14/1.60 cnf(i_0_528, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))).
% 8.14/1.60 cnf(i_0_568, lemma, (subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1))|~relation(X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_569, lemma, (subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))|~relation(X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_525, lemma, (X1=empty_set|ordinal(esk108_2(X1,X2))|~subset(X1,X2)|~ordinal(X2))).
% 8.14/1.60 cnf(i_0_235, plain, (one_to_one(X1)|in(esk68_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_178, plain, (is_antisymmetric_in(X1,X2)|in(esk51_2(X1,X2),X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_526, lemma, (in(X1,X2)|~ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_177, plain, (is_antisymmetric_in(X1,X2)|in(esk52_2(X1,X2),X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_471, lemma, (subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_224, plain, (is_connected_in(X1,X2)|in(esk63_2(X1,X2),X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_223, plain, (is_connected_in(X1,X2)|in(esk64_2(X1,X2),X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_249, plain, (is_transitive_in(X1,X2)|in(esk73_2(X1,X2),X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_509, lemma, (X1=X2|in(X1,X2)|in(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_248, plain, (is_transitive_in(X1,X2)|in(esk74_2(X1,X2),X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_559, lemma, (being_limit_ordinal(X1)|~ordinal(X1)|~in(set_union2(esk111_1(X1),unordered_pair(esk111_1(X1),esk111_1(X1))),X1))).
% 8.14/1.60 cnf(i_0_566, lemma, (disjoint(X1,X2)|~element(X2,powerset(X3))|~element(X1,powerset(X3))|~subset(X1,subset_complement(X3,X2)))).
% 8.14/1.60 cnf(i_0_656, plain, (in(esk123_2(X1,X2),esk122_1(X1))|~in(X2,esk122_1(X1)))).
% 8.14/1.60 cnf(i_0_247, plain, (is_transitive_in(X1,X2)|in(esk75_2(X1,X2),X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_84, plain, (is_reflexive_in(X1,X2)|in(esk21_2(X1,X2),X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_486, lemma, (subset(relation_inverse_image(X1,X2),relation_inverse_image(X1,X3))|~subset(X2,X3)|~relation(X1))).
% 8.14/1.60 cnf(i_0_476, lemma, (relation_image(X1,relation_rng(X2))=relation_rng(relation_composition(X2,X1))|~relation(X1)|~relation(X2))).
% 8.14/1.60 cnf(i_0_655, plain, (in(X1,esk123_2(X2,X3))|~subset(X1,X3)|~in(X3,esk122_1(X2)))).
% 8.14/1.60 cnf(i_0_281, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))).
% 8.14/1.60 cnf(i_0_101, plain, (X1=powerset(X2)|~subset(esk27_2(X2,X1),X2)|~in(esk27_2(X2,X1),X1))).
% 8.14/1.60 cnf(i_0_463, lemma, (in(X1,esk101_1(X2))|~subset(X1,X3)|~in(X3,esk101_1(X2)))).
% 8.14/1.60 cnf(i_0_657, plain, (in(X1,esk122_1(X2))|~subset(X1,X3)|~in(X3,esk122_1(X2)))).
% 8.14/1.60 cnf(i_0_393, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))).
% 8.14/1.60 cnf(i_0_358, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))).
% 8.14/1.60 cnf(i_0_459, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))).
% 8.14/1.60 cnf(i_0_473, lemma, (subset(X1,relation_inverse_image(X2,relation_image(X2,X1)))|~subset(X1,relation_dom(X2))|~relation(X2))).
% 8.14/1.60 cnf(i_0_492, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))).
% 8.14/1.60 cnf(i_0_465, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X3))=relation_dom_restriction(relation_rng_restriction(X1,X2),X3)|~relation(X2))).
% 8.14/1.60 cnf(i_0_394, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))).
% 8.14/1.60 cnf(i_0_288, plain, (element(union_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 8.14/1.60 cnf(i_0_461, lemma, (are_equipotent(X1,esk101_1(X2))|in(X1,esk101_1(X2))|~subset(X1,esk101_1(X2)))).
% 8.14/1.60 cnf(i_0_654, plain, (are_equipotent(X1,esk122_1(X2))|in(X1,esk122_1(X2))|~subset(X1,esk122_1(X2)))).
% 8.14/1.60 cnf(i_0_571, lemma, (relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~subset(relation_rng(X1),relation_dom(X2))|~relation(X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_574, lemma, (relation_rng(relation_composition(X1,X2))=relation_rng(X2)|~subset(relation_dom(X2),relation_rng(X1))|~relation(X1)|~relation(X2))).
% 8.14/1.60 cnf(i_0_524, lemma, (X1=empty_set|in(esk108_2(X1,X2),X1)|~subset(X1,X2)|~ordinal(X2))).
% 8.14/1.60 cnf(i_0_290, plain, (element(meet_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 8.14/1.60 cnf(i_0_116, plain, (X1=unordered_pair(X2,X3)|esk31_3(X2,X3,X1)!=X3|~in(esk31_3(X2,X3,X1),X1))).
% 8.14/1.60 cnf(i_0_117, plain, (X1=unordered_pair(X2,X3)|esk31_3(X2,X3,X1)!=X2|~in(esk31_3(X2,X3,X1),X1))).
% 8.14/1.60 cnf(i_0_226, plain, (set_difference(X1,set_difference(X1,cartesian_product2(X2,X2)))=relation_restriction(X1,X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_483, lemma, (in(X1,cartesian_product2(X2,X2))|~relation(X3)|~in(X1,relation_restriction(X3,X2)))).
% 8.14/1.60 cnf(i_0_475, lemma, (relation_image(X1,relation_inverse_image(X1,X2))=X2|~subset(X2,relation_rng(X1))|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_519, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 8.14/1.60 cnf(i_0_520, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 8.14/1.60 cnf(i_0_234, plain, (apply(X1,esk68_1(X1))=apply(X1,esk67_1(X1))|one_to_one(X1)|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_152, plain, (is_well_founded_in(X1,X2)|~disjoint(fiber(X1,X3),esk46_2(X1,X2))|~relation(X1)|~in(X3,esk46_2(X1,X2)))).
% 8.14/1.60 cnf(i_0_498, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 8.14/1.60 cnf(i_0_467, lemma, (in(esk102_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 8.14/1.60 cnf(i_0_478, lemma, (in(esk103_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 8.14/1.60 cnf(i_0_125, plain, (X1=empty_set|in(esk32_2(X2,X1),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 8.14/1.60 cnf(i_0_649, lemma, (set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2))=relation_dom(relation_dom_restriction(X1,X2))|~relation(X1))).
% 8.14/1.60 cnf(i_0_497, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 8.14/1.60 cnf(i_0_211, plain, (well_orders(X1,X2)|~is_well_founded_in(X1,X2)|~is_reflexive_in(X1,X2)|~is_transitive_in(X1,X2)|~is_connected_in(X1,X2)|~is_antisymmetric_in(X1,X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_95, plain, (X1=unordered_pair(X2,X2)|esk25_2(X2,X1)!=X2|~in(esk25_2(X2,X1),X1))).
% 8.14/1.60 cnf(i_0_458, lemma, (set_difference(relation_rng(X1),set_difference(relation_rng(X1),X2))=relation_rng(relation_rng_restriction(X2,X1))|~relation(X1))).
% 8.14/1.60 cnf(i_0_567, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))).
% 8.14/1.60 cnf(i_0_381, lemma, (subset(X1,set_difference(X2,unordered_pair(X3,X3)))|in(X3,X1)|~subset(X1,X2))).
% 8.14/1.60 cnf(i_0_293, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))).
% 8.14/1.60 cnf(i_0_482, lemma, (in(X1,relation_restriction(X2,X3))|~relation(X2)|~in(X1,cartesian_product2(X3,X3))|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_581, lemma, (disjoint(X1,X2)|in(esk113_2(X1,X2),set_difference(X1,set_difference(X1,X2))))).
% 8.14/1.60 cnf(i_0_183, plain, (X1=union(X2)|~in(esk54_2(X2,X1),X3)|~in(esk54_2(X2,X1),X1)|~in(X3,X2))).
% 8.14/1.60 cnf(i_0_503, lemma, (in(X1,relation_dom(X2))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(X1,relation_dom(relation_composition(X2,X3))))).
% 8.14/1.60 cnf(i_0_383, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk84_1(X1),esk84_1(X1)),unordered_pair(esk84_1(X1),esk85_1(X1))),X1))).
% 8.14/1.60 cnf(i_0_94, plain, (esk25_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk25_2(X1,X2),X2))).
% 8.14/1.60 cnf(i_0_439, plain, (subset_difference(X1,X2,X3)=set_difference(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.14/1.60 cnf(i_0_637, lemma, (in(X1,relation_dom(relation_dom_restriction(X2,X3)))|~relation(X2)|~in(X1,relation_dom(X2))|~in(X1,X3))).
% 8.14/1.60 cnf(i_0_450, lemma, (in(X1,relation_rng(relation_rng_restriction(X2,X3)))|~relation(X3)|~in(X1,relation_rng(X3))|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_627, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,X2))).
% 8.14/1.60 cnf(i_0_564, lemma, (set_union2(esk112_1(X1),unordered_pair(esk112_1(X1),esk112_1(X1)))=X1|being_limit_ordinal(X1)|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_382, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk84_1(X1),esk85_1(X1)),unordered_pair(esk85_1(X1),esk85_1(X1))),X1))).
% 8.14/1.60 cnf(i_0_368, lemma, (transitive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk79_1(X1),esk79_1(X1)),unordered_pair(esk79_1(X1),esk81_1(X1))),X1))).
% 8.14/1.60 cnf(i_0_360, lemma, (reflexive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk78_1(X1),esk78_1(X1)),unordered_pair(esk78_1(X1),esk78_1(X1))),X1))).
% 8.14/1.60 cnf(i_0_469, lemma, (in(esk102_3(X1,X2,X3),relation_dom(X3))|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 8.14/1.60 cnf(i_0_480, lemma, (in(esk103_3(X1,X2,X3),relation_rng(X3))|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 8.14/1.60 cnf(i_0_643, lemma, (X1=apply(X2,X3)|~relation(X2)|~function(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 8.14/1.60 cnf(i_0_516, plain, (X1=X2|in(esk106_2(X1,X2),X1)|in(esk106_2(X1,X2),X2))).
% 8.14/1.60 cnf(i_0_630, lemma, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(identity_relation(X2),X3)))).
% 8.14/1.60 cnf(i_0_529, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)))).
% 8.14/1.60 cnf(i_0_530, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))).
% 8.14/1.60 cnf(i_0_127, plain, (X1=set_union2(X2,X3)|~in(esk34_3(X2,X3,X1),X1)|~in(esk34_3(X2,X3,X1),X3))).
% 8.14/1.60 cnf(i_0_100, plain, (X1=powerset(X2)|subset(esk27_2(X2,X1),X2)|in(esk27_2(X2,X1),X1))).
% 8.14/1.60 cnf(i_0_156, plain, (X1=empty_set|in(esk45_3(X2,X3,X1),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 8.14/1.60 cnf(i_0_527, lemma, (ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_472, lemma, (relation_image(X1,set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2)))=relation_image(X1,X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_128, plain, (X1=set_union2(X2,X3)|~in(esk34_3(X2,X3,X1),X1)|~in(esk34_3(X2,X3,X1),X2))).
% 8.14/1.60 cnf(i_0_89, plain, (X1=set_meet(X2)|X2=empty_set|~in(esk23_2(X2,X1),esk24_2(X2,X1))|~in(esk23_2(X2,X1),X1))).
% 8.14/1.60 cnf(i_0_72, plain, (X1=unordered_triple(X2,X3,X4)|esk17_4(X2,X3,X4,X1)!=X4|~in(esk17_4(X2,X3,X4,X1),X1))).
% 8.14/1.60 cnf(i_0_73, plain, (X1=unordered_triple(X2,X3,X4)|esk17_4(X2,X3,X4,X1)!=X3|~in(esk17_4(X2,X3,X4,X1),X1))).
% 8.14/1.60 cnf(i_0_181, plain, (X1=union(X2)|in(esk55_2(X2,X1),X2)|in(esk54_2(X2,X1),X1))).
% 8.14/1.60 cnf(i_0_523, lemma, (X1=empty_set|ordinal_subset(esk108_2(X1,X2),X3)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X3)|~in(X3,X1))).
% 8.14/1.60 cnf(i_0_74, plain, (X1=unordered_triple(X2,X3,X4)|esk17_4(X2,X3,X4,X1)!=X2|~in(esk17_4(X2,X3,X4,X1),X1))).
% 8.14/1.60 cnf(i_0_291, plain, (element(subset_difference(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 8.14/1.60 cnf(i_0_145, plain, (X1=X2|in(X1,X2)|in(X2,X1)|~epsilon_connected(X3)|~in(X2,X3)|~in(X1,X3))).
% 8.14/1.60 cnf(i_0_512, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))).
% 8.14/1.60 cnf(i_0_502, lemma, (in(apply(X1,X2),relation_dom(X3))|~relation(X3)|~relation(X1)|~function(X3)|~function(X1)|~in(X2,relation_dom(relation_composition(X1,X3))))).
% 8.14/1.60 cnf(i_0_237, plain, (X1=X2|apply(X3,X1)!=apply(X3,X2)|~one_to_one(X3)|~relation(X3)|~function(X3)|~in(X2,relation_dom(X3))|~in(X1,relation_dom(X3)))).
% 8.14/1.60 cnf(i_0_182, plain, (X1=union(X2)|in(esk54_2(X2,X1),esk55_2(X2,X1))|in(esk54_2(X2,X1),X1))).
% 8.14/1.60 cnf(i_0_602, lemma, (apply(X1,apply(function_inverse(X1),X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.14/1.60 cnf(i_0_124, plain, (X1=empty_set|disjoint(fiber(X2,esk32_2(X2,X1)),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 8.14/1.60 cnf(i_0_562, lemma, (in(set_union2(X1,unordered_pair(X1,X1)),X2)|~being_limit_ordinal(X2)|~ordinal(X2)|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_601, lemma, (apply(relation_composition(function_inverse(X1),X1),X2)=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.14/1.60 cnf(i_0_624, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,relation_dom(relation_dom_restriction(X1,X2))))).
% 8.14/1.60 cnf(i_0_582, lemma, (X1=empty_set|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))).
% 8.14/1.60 cnf(i_0_200, plain, (X1=relation_rng(X2)|in(esk59_2(X2,X1),relation_dom(X2))|in(esk58_2(X2,X1),X1)|~relation(X2)|~function(X2))).
% 8.14/1.60 cnf(i_0_90, plain, (X1=set_meet(X2)|X2=empty_set|in(esk24_2(X2,X1),X2)|~in(esk23_2(X2,X1),X1))).
% 8.14/1.60 cnf(i_0_201, plain, (X1=relation_rng(X2)|esk58_2(X2,X1)!=apply(X2,X3)|~relation(X2)|~function(X2)|~in(esk58_2(X2,X1),X1)|~in(X3,relation_dom(X2)))).
% 8.14/1.60 cnf(i_0_576, lemma, (subset_difference(X1,X1,meet_of_subsets(X1,X2))=union_of_subsets(X1,complements_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))).
% 8.14/1.60 cnf(i_0_362, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~reflexive(X2)|~relation(X2)|~in(X1,relation_field(X2)))).
% 8.14/1.60 cnf(i_0_155, plain, (X1=empty_set|disjoint(fiber(X2,esk45_3(X2,X3,X1)),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 8.14/1.60 cnf(i_0_88, plain, (X1=set_meet(X2)|X2=empty_set|in(esk23_2(X2,X1),X1)|in(esk23_2(X2,X1),X3)|~in(X3,X2))).
% 8.14/1.60 cnf(i_0_575, lemma, (subset_difference(X1,X1,union_of_subsets(X1,X2))=meet_of_subsets(X1,complements_of_subsets(X1,X2))|X2=empty_set|~element(X2,powerset(powerset(X1))))).
% 8.14/1.60 cnf(i_0_206, plain, (X1=relation_rng(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,esk61_2(X2,X1)),unordered_pair(X3,X3)),X2)|~in(esk61_2(X2,X1),X1))).
% 8.14/1.60 cnf(i_0_221, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk63_2(X1,X2),esk63_2(X1,X2)),unordered_pair(esk63_2(X1,X2),esk64_2(X1,X2))),X1))).
% 8.14/1.60 cnf(i_0_115, plain, (esk31_3(X1,X2,X3)=X1|esk31_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk31_3(X1,X2,X3),X3))).
% 8.14/1.60 cnf(i_0_193, plain, (X1=set_difference(X2,X3)|in(esk56_3(X2,X3,X1),X1)|~in(esk56_3(X2,X3,X1),X3))).
% 8.14/1.60 cnf(i_0_507, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(X3,relation_dom(X1)))).
% 8.14/1.60 cnf(i_0_501, lemma, (in(X1,relation_dom(relation_composition(X2,X3)))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(apply(X2,X1),relation_dom(X3))|~in(X1,relation_dom(X2)))).
% 8.14/1.60 cnf(i_0_199, plain, (apply(X1,esk59_2(X1,X2))=esk58_2(X1,X2)|X2=relation_rng(X1)|in(esk58_2(X1,X2),X2)|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_134, plain, (X1=cartesian_product2(X2,X3)|in(esk38_3(X2,X3,X1),X2)|in(esk37_3(X2,X3,X1),X1))).
% 8.14/1.60 cnf(i_0_220, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk63_2(X1,X2),esk64_2(X1,X2)),unordered_pair(esk64_2(X1,X2),esk64_2(X1,X2))),X1))).
% 8.14/1.60 cnf(i_0_244, plain, (is_transitive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk73_2(X1,X2),esk73_2(X1,X2)),unordered_pair(esk73_2(X1,X2),esk75_2(X1,X2))),X1))).
% 8.14/1.60 cnf(i_0_83, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk21_2(X1,X2),esk21_2(X1,X2)),unordered_pair(esk21_2(X1,X2),esk21_2(X1,X2))),X1))).
% 8.14/1.60 cnf(i_0_133, plain, (X1=cartesian_product2(X2,X3)|in(esk39_3(X2,X3,X1),X3)|in(esk37_3(X2,X3,X1),X1))).
% 8.14/1.60 cnf(i_0_85, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~is_reflexive_in(X2,X3)|~relation(X2)|~in(X1,X3))).
% 8.14/1.60 cnf(i_0_392, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))).
% 8.14/1.60 cnf(i_0_146, plain, (subset(X1,X2)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk42_2(X1,X2),esk42_2(X1,X2)),unordered_pair(esk42_2(X1,X2),esk43_2(X1,X2))),X2))).
% 8.14/1.60 cnf(i_0_194, plain, (X1=set_difference(X2,X3)|in(esk56_3(X2,X3,X1),X2)|in(esk56_3(X2,X3,X1),X1))).
% 8.14/1.60 cnf(i_0_380, lemma, (X1=X2|~antisymmetric(X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3))).
% 8.14/1.60 cnf(i_0_171, plain, (X1=relation_dom(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(esk49_2(X2,X1),X3),unordered_pair(esk49_2(X2,X1),esk49_2(X2,X1))),X2)|~in(esk49_2(X2,X1),X1))).
% 8.14/1.60 cnf(i_0_600, lemma, (X1=empty_set|in(unordered_pair(unordered_pair(esk118_1(X1),esk118_1(X1)),unordered_pair(esk118_1(X1),esk119_1(X1))),X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_506, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(X3,relation_dom(relation_composition(X1,X2))))).
% 8.14/1.60 cnf(i_0_253, plain, (X1=complements_of_subsets(X2,X3)|element(esk76_3(X2,X3,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 8.14/1.60 cnf(i_0_379, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk82_1(X1),esk82_1(X1)),unordered_pair(esk82_1(X1),esk83_1(X1))),X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_629, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_composition(identity_relation(X4),X3)))).
% 8.14/1.60 cnf(i_0_466, lemma, (in(X1,relation_image(X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X2)|~in(X4,X3))).
% 8.14/1.60 cnf(i_0_378, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk82_1(X1),esk83_1(X1)),unordered_pair(esk83_1(X1),esk83_1(X1))),X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_479, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk103_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 8.14/1.60 cnf(i_0_370, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk79_1(X1),esk79_1(X1)),unordered_pair(esk79_1(X1),esk80_1(X1))),X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_369, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk80_1(X1),esk80_1(X1)),unordered_pair(esk80_1(X1),esk81_1(X1))),X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_477, lemma, (in(X1,relation_inverse_image(X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X2)|~in(X4,X3))).
% 8.14/1.60 cnf(i_0_159, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk47_3(X2,X3,X1),X1)|~in(esk47_3(X2,X3,X1),X3)|~in(esk47_3(X2,X3,X1),X2))).
% 8.14/1.60 cnf(i_0_252, plain, (X1=complements_of_subsets(X2,X3)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2)))|~in(subset_complement(X2,esk76_3(X2,X3,X1)),X3)|~in(esk76_3(X2,X3,X1),X1))).
% 8.14/1.60 cnf(i_0_55, plain, (X1=relation_image(X2,X3)|in(esk13_3(X2,X3,X1),X3)|in(esk12_3(X2,X3,X1),X1)|~relation(X2))).
% 8.14/1.60 cnf(i_0_61, plain, (X1=relation_inverse_image(X2,X3)|in(esk16_3(X2,X3,X1),X3)|in(esk15_3(X2,X3,X1),X1)|~relation(X2))).
% 8.14/1.60 cnf(i_0_158, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk47_3(X2,X3,X1),X2)|in(esk47_3(X2,X3,X1),X1))).
% 8.14/1.60 cnf(i_0_34, plain, (X1=relation_image(X2,X3)|in(esk7_3(X2,X3,X1),X3)|in(esk6_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 8.14/1.60 cnf(i_0_591, lemma, (X1=function_inverse(X2)|in(esk117_2(X2,X1),relation_dom(X2))|in(esk114_2(X2,X1),relation_rng(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 8.14/1.60 cnf(i_0_157, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk47_3(X2,X3,X1),X3)|in(esk47_3(X2,X3,X1),X1))).
% 8.14/1.60 cnf(i_0_51, plain, (X1=relation_inverse_image(X2,X3)|~relation(X2)|~function(X2)|~in(apply(X2,esk10_3(X2,X3,X1)),X3)|~in(esk10_3(X2,X3,X1),relation_dom(X2))|~in(esk10_3(X2,X3,X1),X1))).
% 8.14/1.60 cnf(i_0_57, 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))).
% 8.14/1.60 cnf(i_0_36, plain, (X1=relation_image(X2,X3)|esk6_3(X2,X3,X1)!=apply(X2,X4)|~relation(X2)|~function(X2)|~in(esk6_3(X2,X3,X1),X1)|~in(X4,relation_dom(X2))|~in(X4,X3))).
% 8.14/1.60 cnf(i_0_35, plain, (X1=relation_image(X2,X3)|in(esk7_3(X2,X3,X1),relation_dom(X2))|in(esk6_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 8.14/1.60 cnf(i_0_195, plain, (X1=set_difference(X2,X3)|in(esk56_3(X2,X3,X1),X3)|~in(esk56_3(X2,X3,X1),X1)|~in(esk56_3(X2,X3,X1),X2))).
% 8.14/1.60 cnf(i_0_50, plain, (X1=relation_inverse_image(X2,X3)|in(esk10_3(X2,X3,X1),relation_dom(X2))|in(esk10_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 8.14/1.60 cnf(i_0_617, lemma, (X1=relation_dom_restriction(X2,X3)|apply(X1,esk120_3(X3,X1,X2))!=apply(X2,esk120_3(X3,X1,X2))|relation_dom(X1)!=set_difference(relation_dom(X2),set_difference(relation_dom(X2),X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.14/1.60 cnf(i_0_588, lemma, (apply(X1,esk114_2(X2,X1))=esk115_2(X2,X1)|X1=function_inverse(X2)|in(esk117_2(X2,X1),relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 8.14/1.60 cnf(i_0_82, plain, (unordered_pair(unordered_pair(esk18_2(X1,X2),esk18_2(X1,X2)),unordered_pair(esk18_2(X1,X2),esk19_2(X1,X2)))=X2|~relation(X1)|~in(X2,X1))).
% 8.14/1.60 cnf(i_0_135, plain, (X1=cartesian_product2(X2,X3)|esk37_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk37_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))).
% 8.14/1.60 cnf(i_0_20, plain, (X1=identity_relation(X2)|esk2_2(X2,X1)!=esk1_2(X2,X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)|~in(esk1_2(X2,X1),X2))).
% 8.14/1.60 cnf(i_0_63, 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))).
% 8.14/1.60 cnf(i_0_179, 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))).
% 8.14/1.60 cnf(i_0_49, plain, (X1=relation_inverse_image(X2,X3)|in(apply(X2,esk10_3(X2,X3,X1)),X3)|in(esk10_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 8.14/1.60 cnf(i_0_628, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_composition(identity_relation(X3),X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X4)|~in(X1,X3))).
% 8.14/1.60 cnf(i_0_590, lemma, (apply(X1,esk117_2(X1,X2))=esk116_2(X1,X2)|X2=function_inverse(X1)|in(esk114_2(X1,X2),relation_rng(X1))|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.14/1.60 cnf(i_0_33, plain, (apply(X1,esk7_3(X1,X2,X3))=esk6_3(X1,X2,X3)|X3=relation_image(X1,X2)|in(esk6_3(X1,X2,X3),X3)|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_585, lemma, (X1=function_inverse(X2)|in(esk117_2(X2,X1),relation_dom(X2))|apply(X2,esk115_2(X2,X1))!=esk114_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk115_2(X2,X1),relation_dom(X2)))).
% 8.14/1.60 cnf(i_0_618, lemma, (X1=relation_dom_restriction(X2,X3)|in(esk120_3(X3,X1,X2),relation_dom(X1))|relation_dom(X1)!=set_difference(relation_dom(X2),set_difference(relation_dom(X2),X3))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.14/1.60 cnf(i_0_176, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk51_2(X1,X2),esk51_2(X1,X2)),unordered_pair(esk51_2(X1,X2),esk52_2(X1,X2))),X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_147, plain, (subset(X1,X2)|in(unordered_pair(unordered_pair(esk42_2(X1,X2),esk42_2(X1,X2)),unordered_pair(esk42_2(X1,X2),esk43_2(X1,X2))),X1)|~relation(X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_175, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk51_2(X1,X2),esk52_2(X1,X2)),unordered_pair(esk52_2(X1,X2),esk52_2(X1,X2))),X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_246, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk73_2(X1,X2),esk73_2(X1,X2)),unordered_pair(esk73_2(X1,X2),esk74_2(X1,X2))),X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_245, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk74_2(X1,X2),esk74_2(X1,X2)),unordered_pair(esk74_2(X1,X2),esk75_2(X1,X2))),X1)|~relation(X1))).
% 8.14/1.60 cnf(i_0_587, lemma, (apply(X1,esk117_2(X1,X2))=esk116_2(X1,X2)|apply(X2,esk114_2(X1,X2))=esk115_2(X1,X2)|X2=function_inverse(X1)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 8.14/1.60 cnf(i_0_126, plain, (X1=set_union2(X2,X3)|in(esk34_3(X2,X3,X1),X2)|in(esk34_3(X2,X3,X1),X3)|in(esk34_3(X2,X3,X1),X1))).
% 8.14/1.60 cnf(i_0_589, lemma, (X1=function_inverse(X2)|in(esk114_2(X2,X1),relation_rng(X2))|apply(X1,esk116_2(X2,X1))!=esk117_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk116_2(X2,X1),relation_rng(X2)))).
% 8.14/1.60 cnf(i_0_583, lemma, (X1=function_inverse(X2)|apply(X2,esk115_2(X2,X1))!=esk114_2(X2,X1)|apply(X1,esk116_2(X2,X1))!=esk117_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk115_2(X2,X1),relation_dom(X2))|~in(esk116_2(X2,X1),relation_rng(X2)))).
% 8.14/1.60 cnf(i_0_586, lemma, (apply(X1,esk114_2(X2,X1))=esk115_2(X2,X1)|X1=function_inverse(X2)|apply(X1,esk116_2(X2,X1))!=esk117_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk116_2(X2,X1),relation_rng(X2)))).
% 8.14/1.60 cnf(i_0_584, lemma, (apply(X1,esk117_2(X1,X2))=esk116_2(X1,X2)|X2=function_inverse(X1)|apply(X1,esk115_2(X1,X2))!=esk114_2(X1,X2)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk115_2(X1,X2),relation_dom(X1)))).
% 8.14/1.60 cnf(i_0_71, 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))).
% 8.14/1.60 cnf(i_0_468, lemma, (in(unordered_pair(unordered_pair(X1,esk102_3(X1,X2,X3)),unordered_pair(esk102_3(X1,X2,X3),esk102_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 8.14/1.60 cnf(i_0_225, plain, (X1=X2|in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)|~is_connected_in(X3,X4)|~relation(X3)|~in(X2,X4)|~in(X1,X4))).
% 8.14/1.60 cnf(i_0_18, plain, (esk2_2(X1,X2)=esk1_2(X1,X2)|X2=identity_relation(X1)|in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X2)|~relation(X2))).
% 8.14/1.60 cnf(i_0_371, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~transitive(X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)),X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X3))).
% 8.14/1.60 cnf(i_0_108, plain, (X1=X2|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk29_2(X1,X2),esk29_2(X1,X2)),unordered_pair(esk29_2(X1,X2),esk30_2(X1,X2))),X2)|~in(unordered_pair(unordered_pair(esk29_2(X1,X2),esk29_2(X1,X2)),unordered_pair(esk29_2(X1,X2),esk30_2(X1,X2))),X1))).
% 8.14/1.60 cnf(i_0_251, plain, (X1=complements_of_subsets(X2,X3)|in(subset_complement(X2,esk76_3(X2,X3,X1)),X3)|in(esk76_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 8.14/1.60 cnf(i_0_19, plain, (X1=identity_relation(X2)|in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)|in(esk1_2(X2,X1),X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_170, plain, (X1=relation_dom(X2)|in(unordered_pair(unordered_pair(esk49_2(X2,X1),esk49_2(X2,X1)),unordered_pair(esk49_2(X2,X1),esk50_2(X2,X1))),X2)|in(esk49_2(X2,X1),X1)|~relation(X2))).
% 8.14/1.60 cnf(i_0_205, plain, (X1=relation_rng(X2)|in(unordered_pair(unordered_pair(esk61_2(X2,X1),esk62_2(X2,X1)),unordered_pair(esk62_2(X2,X1),esk62_2(X2,X1))),X2)|in(esk61_2(X2,X1),X1)|~relation(X2))).
% 8.14/1.60 cnf(i_0_387, lemma, (X1=X2|in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)|~connected(X3)|~relation(X3)|~in(X2,relation_field(X3))|~in(X1,relation_field(X3)))).
% 8.14/1.60 cnf(i_0_132, plain, (unordered_pair(unordered_pair(esk38_3(X1,X2,X3),esk38_3(X1,X2,X3)),unordered_pair(esk38_3(X1,X2,X3),esk39_3(X1,X2,X3)))=esk37_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk37_3(X1,X2,X3),X3))).
% 8.14/1.60 cnf(i_0_228, plain, (X1=relation_inverse(X2)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk65_2(X2,X1),esk65_2(X2,X1)),unordered_pair(esk65_2(X2,X1),esk66_2(X2,X1))),X1)|~in(unordered_pair(unordered_pair(esk65_2(X2,X1),esk66_2(X2,X1)),unordered_pair(esk66_2(X2,X1),esk66_2(X2,X1))),X2))).
% 8.14/1.60 cnf(i_0_250, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~is_transitive_in(X3,X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),X3)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X3)|~in(X2,X4)|~in(X5,X4)|~in(X1,X4))).
% 8.14/1.60 cnf(i_0_29, 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))).
% 8.14/1.60 cnf(i_0_56, 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))).
% 8.14/1.60 cnf(i_0_62, 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))).
% 8.14/1.60 cnf(i_0_28, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|in(esk3_3(X2,X3,X1),X3)|~relation(X1)|~relation(X2))).
% 8.14/1.60 cnf(i_0_42, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X1)|in(esk9_3(X2,X3,X1),X2)|~relation(X1)|~relation(X3))).
% 8.14/1.60 cnf(i_0_107, plain, (X1=X2|in(unordered_pair(unordered_pair(esk29_2(X1,X2),esk29_2(X1,X2)),unordered_pair(esk29_2(X1,X2),esk30_2(X1,X2))),X1)|in(unordered_pair(unordered_pair(esk29_2(X1,X2),esk29_2(X1,X2)),unordered_pair(esk29_2(X1,X2),esk30_2(X1,X2))),X2)|~relation(X2)|~relation(X1))).
% 8.14/1.60 cnf(i_0_227, plain, (X1=relation_inverse(X2)|in(unordered_pair(unordered_pair(esk65_2(X2,X1),esk66_2(X2,X1)),unordered_pair(esk66_2(X2,X1),esk66_2(X2,X1))),X2)|in(unordered_pair(unordered_pair(esk65_2(X2,X1),esk65_2(X2,X1)),unordered_pair(esk65_2(X2,X1),esk66_2(X2,X1))),X1)|~relation(X1)|~relation(X2))).
% 8.14/1.60 cnf(i_0_43, plain, (X1=relation_rng_restriction(X2,X3)|~relation(X1)|~relation(X3)|~in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X3)|~in(esk9_3(X2,X3,X1),X2))).
% 8.14/1.60 cnf(i_0_240, plain, (X1=relation_composition(X2,X3)|~relation(X1)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk70_3(X2,X3,X1),esk70_3(X2,X3,X1)),unordered_pair(esk70_3(X2,X3,X1),esk71_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk70_3(X2,X3,X1),X4),unordered_pair(esk70_3(X2,X3,X1),esk70_3(X2,X3,X1))),X2)|~in(unordered_pair(unordered_pair(X4,esk71_3(X2,X3,X1)),unordered_pair(X4,X4)),X3))).
% 8.14/1.60 cnf(i_0_27, plain, (X1=relation_dom_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk3_3(X2,X3,X1),esk3_3(X2,X3,X1)),unordered_pair(esk3_3(X2,X3,X1),esk4_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X2))).
% 8.14/1.60 cnf(i_0_41, plain, (X1=relation_rng_restriction(X2,X3)|in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk9_3(X2,X3,X1),esk8_3(X2,X3,X1)),unordered_pair(esk8_3(X2,X3,X1),esk8_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3))).
% 8.14/1.60 cnf(i_0_239, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk70_3(X2,X3,X1),esk70_3(X2,X3,X1)),unordered_pair(esk70_3(X2,X3,X1),esk72_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk70_3(X2,X3,X1),esk70_3(X2,X3,X1)),unordered_pair(esk70_3(X2,X3,X1),esk71_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 8.14/1.60 cnf(i_0_238, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk71_3(X2,X3,X1),esk72_3(X2,X3,X1)),unordered_pair(esk72_3(X2,X3,X1),esk72_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk70_3(X2,X3,X1),esk70_3(X2,X3,X1)),unordered_pair(esk70_3(X2,X3,X1),esk71_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 8.14/1.60 cnf(i_0_197, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))).
% 8.14/1.60 cnf(i_0_103, plain, (subset(X1,X2)|~in(X1,powerset(X2)))).
% 8.14/1.60 cnf(i_0_97, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))).
% 8.14/1.60 cnf(i_0_198, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))).
% 8.14/1.60 cnf(i_0_102, plain, (in(X1,powerset(X2))|~subset(X1,X2))).
% 8.14/1.60 cnf(i_0_120, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X3,X2)))).
% 8.14/1.60 cnf(i_0_563, lemma, (~being_limit_ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 8.14/1.60 cnf(i_0_161, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))).
% 8.14/1.60 cnf(i_0_129, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
% 8.14/1.60 cnf(i_0_130, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_131, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))).
% 8.14/1.60 cnf(i_0_54, plain, (in(X1,relation_dom(X2))|~relation(X2)|~function(X2)|~in(X1,relation_inverse_image(X2,X3)))).
% 8.14/1.60 cnf(i_0_164, plain, (apply(X1,X2)=empty_set|in(X2,relation_dom(X1))|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_196, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_184, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
% 8.14/1.60 cnf(i_0_53, plain, (in(apply(X1,X2),X3)|~relation(X1)|~function(X1)|~in(X2,relation_inverse_image(X1,X3)))).
% 8.14/1.60 cnf(i_0_91, plain, (X1=empty_set|in(X2,set_meet(X1))|~in(X2,esk22_3(X1,set_meet(X1),X2)))).
% 8.14/1.60 cnf(i_0_186, plain, (in(X1,esk53_3(X2,union(X2),X1))|~in(X1,union(X2)))).
% 8.14/1.60 cnf(i_0_22, plain, (X1=X2|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),identity_relation(X3)))).
% 8.14/1.60 cnf(i_0_78, plain, (X1=X2|X1=X3|X1=X4|~in(X1,unordered_triple(X4,X3,X2)))).
% 8.14/1.60 cnf(i_0_23, plain, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),identity_relation(X2)))).
% 8.14/1.60 cnf(i_0_185, plain, (in(esk53_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
% 8.14/1.60 cnf(i_0_92, plain, (X1=empty_set|in(esk22_3(X1,set_meet(X1),X2),X1)|in(X2,set_meet(X1)))).
% 8.14/1.60 cnf(i_0_93, plain, (X1=empty_set|in(X2,X3)|~in(X2,set_meet(X1))|~in(X3,X1))).
% 8.14/1.60 cnf(i_0_531, lemma, (identity_relation(relation_dom(X1))=X1|apply(X1,esk109_2(relation_dom(X1),X1))!=esk109_2(relation_dom(X1),X1)|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_202, plain, (in(apply(X1,X2),relation_rng(X1))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 8.14/1.60 cnf(i_0_160, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X3)|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_52, plain, (in(X1,relation_inverse_image(X2,X3))|~relation(X2)|~function(X2)|~in(apply(X2,X1),X3)|~in(X1,relation_dom(X2)))).
% 8.14/1.60 cnf(i_0_203, plain, (apply(X1,esk57_3(X1,relation_rng(X1),X2))=X2|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.14/1.60 cnf(i_0_532, lemma, (identity_relation(relation_dom(X1))=X1|in(esk109_2(relation_dom(X1),X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 8.14/1.60 cnf(i_0_204, plain, (in(esk57_3(X1,relation_rng(X1),X2),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.14/1.60 cnf(i_0_139, plain, (in(esk35_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))).
% 8.14/1.60 cnf(i_0_21, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),identity_relation(X2))|~in(X1,X2))).
% 8.14/1.60 cnf(i_0_32, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_dom_restriction(X3,X2)))).
% 8.14/1.60 cnf(i_0_46, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_rng_restriction(X2,X3)))).
% 8.14/1.60 cnf(i_0_138, plain, (in(esk36_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))).
% 8.14/1.60 cnf(i_0_37, plain, (in(apply(X1,X2),relation_image(X1,X3))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1))|~in(X2,X3))).
% 8.14/1.60 cnf(i_0_59, plain, (in(esk11_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_image(X1,X2)))).
% 8.14/1.60 cnf(i_0_65, plain, (in(esk14_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_inverse_image(X1,X2)))).
% 8.14/1.60 cnf(i_0_39, plain, (in(esk5_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 8.14/1.60 cnf(i_0_592, lemma, (apply(function_inverse(X1),apply(X1,X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 8.14/1.60 cnf(i_0_38, plain, (apply(X1,esk5_4(X1,X2,relation_image(X1,X2),X3))=X3|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 8.14/1.60 cnf(i_0_595, lemma, (in(apply(function_inverse(X1),X2),relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 8.14/1.60 cnf(i_0_40, plain, (in(esk5_4(X1,X2,relation_image(X1,X2),X3),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 8.14/1.60 cnf(i_0_255, plain, (in(subset_complement(X1,X2),X3)|~element(X3,powerset(powerset(X1)))|~in(X2,complements_of_subsets(X1,X3)))).
% 8.14/1.60 cnf(i_0_166, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,apply(X2,X1))),X2)|~relation(X2)|~function(X2)|~in(X1,relation_dom(X2)))).
% 8.14/1.60 cnf(i_0_173, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk48_3(X2,relation_dom(X2),X1))),X2)|~relation(X2)|~in(X1,relation_dom(X2)))).
% 8.14/1.60 cnf(i_0_254, plain, (in(X1,complements_of_subsets(X2,X3))|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2))|~in(subset_complement(X2,X1),X3))).
% 8.14/1.60 cnf(i_0_31, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_dom_restriction(X3,X4)))).
% 8.14/1.60 cnf(i_0_45, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_rng_restriction(X4,X3)))).
% 8.14/1.60 cnf(i_0_230, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),relation_inverse(X3)))).
% 8.14/1.60 cnf(i_0_229, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_inverse(X3))|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3))).
% 8.14/1.60 cnf(i_0_66, 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)))).
% 8.14/1.60 cnf(i_0_44, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_rng_restriction(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X4)|~in(X2,X3))).
% 8.14/1.60 cnf(i_0_30, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_dom_restriction(X3,X4))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~in(X1,X4))).
% 8.14/1.60 cnf(i_0_208, plain, (in(unordered_pair(unordered_pair(X1,esk60_3(X2,relation_rng(X2),X1)),unordered_pair(esk60_3(X2,relation_rng(X2),X1),esk60_3(X2,relation_rng(X2),X1))),X2)|~relation(X2)|~in(X1,relation_rng(X2)))).
% 8.14/1.60 cnf(i_0_243, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk69_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(X2,X3)))).
% 8.14/1.60 cnf(i_0_60, 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)))).
% 8.14/1.60 cnf(i_0_241, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),relation_composition(X3,X4))|~relation(X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X5,X2),unordered_pair(X5,X5)),X4)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X3))).
% 8.14/1.60 cnf(i_0_137, plain, (unordered_pair(unordered_pair(esk35_4(X1,X2,cartesian_product2(X1,X2),X3),esk35_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk35_4(X1,X2,cartesian_product2(X1,X2),X3),esk36_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))).
% 8.14/1.60 cnf(i_0_242, plain, (in(unordered_pair(unordered_pair(X1,esk69_5(X2,X3,relation_composition(X2,X3),X4,X1)),unordered_pair(esk69_5(X2,X3,relation_composition(X2,X3),X4,X1),esk69_5(X2,X3,relation_composition(X2,X3),X4,X1))),X3)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_composition(X2,X3)))).
% 8.14/1.60 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 8.14/1.60 # Begin printing tableau
% 8.14/1.60 # Found 5 steps
% 8.14/1.60 cnf(i_0_499, negated_conjecture, (~subset(relation_field(relation_restriction(esk105_0,esk104_0)),relation_field(esk105_0))|~subset(relation_field(relation_restriction(esk105_0,esk104_0)),esk104_0)), inference(start_rule)).
% 8.14/1.60 cnf(i_0_768, plain, (~subset(relation_field(relation_restriction(esk105_0,esk104_0)),relation_field(esk105_0))), inference(extension_rule, [i_0_150])).
% 8.14/1.60 cnf(i_0_1203, plain, (in(esk44_2(relation_field(relation_restriction(esk105_0,esk104_0)),relation_field(esk105_0)),relation_field(relation_restriction(esk105_0,esk104_0)))), inference(extension_rule, [i_0_631])).
% 8.14/1.60 cnf(i_0_769, plain, (~subset(relation_field(relation_restriction(esk105_0,esk104_0)),esk104_0)), inference(etableau_closure_rule, [i_0_769, ...])).
% 8.14/1.60 cnf(i_0_2390, plain, (~empty(relation_field(relation_restriction(esk105_0,esk104_0)))), inference(etableau_closure_rule, [i_0_2390, ...])).
% 8.14/1.60 # End printing tableau
% 8.14/1.60 # SZS output end
% 8.14/1.60 # Branches closed with saturation will be marked with an "s"
% 8.14/1.60 # Child (29892) has found a proof.
% 8.14/1.60
% 8.14/1.60 # Proof search is over...
% 8.14/1.60 # Freeing feature tree
%------------------------------------------------------------------------------