TSTP Solution File: SEU275+2 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU275+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 09:25:26 EDT 2022
% Result : Theorem 7.85s 1.60s
% Output : CNFRefutation 7.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU275+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % 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 : n008.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 : Sun Jun 19 03:01:52 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.55 # No SInE strategy applied
% 0.20/0.55 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.20/0.55 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.20/0.55 #
% 0.20/0.55 # Presaturation interreduction done
% 0.20/0.55 # Number of axioms: 769 Number of unprocessed: 701
% 0.20/0.55 # Tableaux proof search.
% 0.20/0.55 # APR header successfully linked.
% 0.20/0.55 # Hello from C++
% 0.20/0.57 # The folding up rule is enabled...
% 0.20/0.57 # Local unification is enabled...
% 0.20/0.57 # Any saturation attempts will use folding labels...
% 0.20/0.57 # 701 beginning clauses after preprocessing and clausification
% 0.20/0.57 # Creating start rules for all 2 conjectures.
% 0.20/0.57 # There are 2 start rule candidates:
% 0.20/0.57 # Found 93 unit axioms.
% 0.20/0.57 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.57 # 2 start rule tableaux created.
% 0.20/0.57 # 608 extension rule candidate clauses
% 0.20/0.57 # 93 unit axiom clauses
% 0.20/0.57
% 0.20/0.57 # Requested 8, 32 cores available to the main process.
% 0.20/0.57 # There are not enough tableaux to fork, creating more from the initial 2
% 0.20/0.57 # Returning from population with 112 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.57 # We now have 112 tableaux to operate on
% 7.85/1.60 # There were 3 total branch saturation attempts.
% 7.85/1.60 # There were 0 of these attempts blocked.
% 7.85/1.60 # There were 0 deferred branch saturation attempts.
% 7.85/1.60 # There were 0 free duplicated saturations.
% 7.85/1.60 # There were 3 total successful branch saturations.
% 7.85/1.60 # There were 0 successful branch saturations in interreduction.
% 7.85/1.60 # There were 0 successful branch saturations on the branch.
% 7.85/1.60 # There were 3 successful branch saturations after the branch.
% 7.85/1.60 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.85/1.60 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.85/1.60 # Begin clausification derivation
% 7.85/1.60
% 7.85/1.60 # End clausification derivation
% 7.85/1.60 # Begin listing active clauses obtained from FOF to CNF conversion
% 7.85/1.60 cnf(i_0_771, negated_conjecture, (ordinal(esk146_0))).
% 7.85/1.60 cnf(i_0_358, plain, (ordinal(empty_set))).
% 7.85/1.60 cnf(i_0_444, plain, (ordinal(esk99_0))).
% 7.85/1.60 cnf(i_0_455, plain, (ordinal(esk104_0))).
% 7.85/1.60 cnf(i_0_740, lemma, (relation_dom(empty_set)=empty_set)).
% 7.85/1.60 cnf(i_0_470, plain, (ordinal(esk109_0))).
% 7.85/1.60 cnf(i_0_346, plain, (empty(empty_set))).
% 7.85/1.60 cnf(i_0_739, lemma, (relation_rng(empty_set)=empty_set)).
% 7.85/1.60 cnf(i_0_448, plain, (empty(esk100_0))).
% 7.85/1.60 cnf(i_0_451, plain, (empty(esk102_0))).
% 7.85/1.60 cnf(i_0_453, plain, (empty(esk103_0))).
% 7.85/1.60 cnf(i_0_458, plain, (empty(esk104_0))).
% 7.85/1.60 cnf(i_0_363, plain, (function(empty_set))).
% 7.85/1.60 cnf(i_0_442, plain, (function(esk98_0))).
% 7.85/1.60 cnf(i_0_452, plain, (function(esk103_0))).
% 7.85/1.60 cnf(i_0_460, plain, (function(esk104_0))).
% 7.85/1.60 cnf(i_0_468, plain, (function(esk108_0))).
% 7.85/1.60 cnf(i_0_476, plain, (function(esk111_0))).
% 7.85/1.60 cnf(i_0_360, plain, (epsilon_transitive(empty_set))).
% 7.85/1.60 cnf(i_0_446, plain, (epsilon_transitive(esk99_0))).
% 7.85/1.60 cnf(i_0_457, plain, (epsilon_transitive(esk104_0))).
% 7.85/1.60 cnf(i_0_472, plain, (epsilon_transitive(esk109_0))).
% 7.85/1.60 cnf(i_0_359, plain, (epsilon_connected(empty_set))).
% 7.85/1.60 cnf(i_0_445, plain, (epsilon_connected(esk99_0))).
% 7.85/1.60 cnf(i_0_456, plain, (epsilon_connected(esk104_0))).
% 7.85/1.60 cnf(i_0_471, plain, (epsilon_connected(esk109_0))).
% 7.85/1.60 cnf(i_0_345, plain, (relation(empty_set))).
% 7.85/1.60 cnf(i_0_443, plain, (relation(esk98_0))).
% 7.85/1.60 cnf(i_0_447, plain, (relation(esk100_0))).
% 7.85/1.60 cnf(i_0_454, plain, (relation(esk103_0))).
% 7.85/1.60 cnf(i_0_461, plain, (relation(esk104_0))).
% 7.85/1.60 cnf(i_0_462, plain, (relation(esk105_0))).
% 7.85/1.60 cnf(i_0_469, plain, (relation(esk108_0))).
% 7.85/1.60 cnf(i_0_475, plain, (relation(esk110_0))).
% 7.85/1.60 cnf(i_0_478, plain, (relation(esk111_0))).
% 7.85/1.60 cnf(i_0_362, plain, (one_to_one(empty_set))).
% 7.85/1.60 cnf(i_0_459, plain, (one_to_one(esk104_0))).
% 7.85/1.60 cnf(i_0_467, plain, (one_to_one(esk108_0))).
% 7.85/1.60 cnf(i_0_344, plain, (relation_empty_yielding(empty_set))).
% 7.85/1.60 cnf(i_0_474, plain, (relation_empty_yielding(esk110_0))).
% 7.85/1.60 cnf(i_0_477, plain, (relation_empty_yielding(esk111_0))).
% 7.85/1.60 cnf(i_0_304, plain, (relation(inclusion_relation(X1)))).
% 7.85/1.60 cnf(i_0_738, lemma, (antisymmetric(inclusion_relation(X1)))).
% 7.85/1.60 cnf(i_0_681, lemma, (transitive(inclusion_relation(X1)))).
% 7.85/1.60 cnf(i_0_641, lemma, (reflexive(inclusion_relation(X1)))).
% 7.85/1.60 cnf(i_0_464, plain, (empty(esk106_1(X1)))).
% 7.85/1.60 cnf(i_0_356, plain, (function(identity_relation(X1)))).
% 7.85/1.60 cnf(i_0_327, plain, (relation(identity_relation(X1)))).
% 7.85/1.60 cnf(i_0_760, lemma, (relation_dom(identity_relation(X1))=X1)).
% 7.85/1.60 cnf(i_0_642, lemma, (subset(empty_set,X1))).
% 7.85/1.60 cnf(i_0_489, plain, (subset(X1,X1))).
% 7.85/1.60 cnf(i_0_791, lemma, (union(powerset(X1))=X1)).
% 7.85/1.60 cnf(i_0_759, lemma, (relation_rng(identity_relation(X1))=X1)).
% 7.85/1.60 cnf(i_0_707, plain, (set_difference(empty_set,X1)=empty_set)).
% 7.85/1.60 cnf(i_0_605, plain, (set_union2(X1,empty_set)=X1)).
% 7.85/1.60 cnf(i_0_677, plain, (set_difference(X1,empty_set)=X1)).
% 7.85/1.60 cnf(i_0_396, plain, (set_union2(X1,X1)=X1)).
% 7.85/1.60 cnf(i_0_608, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set))).
% 7.85/1.60 cnf(i_0_574, lemma, (in(X1,esk123_1(X1)))).
% 7.85/1.60 cnf(i_0_796, plain, (in(X1,esk147_1(X1)))).
% 7.85/1.60 cnf(i_0_311, plain, (element(X1,powerset(X1)))).
% 7.85/1.60 cnf(i_0_338, plain, (element(esk87_1(X1),X1))).
% 7.85/1.60 cnf(i_0_465, plain, (element(esk106_1(X1),powerset(X1)))).
% 7.85/1.60 cnf(i_0_772, lemma, (subset(X1,set_union2(X1,X2)))).
% 7.85/1.60 cnf(i_0_662, lemma, (subset(set_difference(X1,X2),X1))).
% 7.85/1.60 cnf(i_0_637, plain, (set_difference(X1,X1)=empty_set)).
% 7.85/1.60 cnf(i_0_337, plain, (relation_of2(esk86_2(X1,X2),X1,X2))).
% 7.85/1.60 cnf(i_0_339, plain, (relation_of2_as_subset(esk88_2(X1,X2),X1,X2))).
% 7.85/1.60 cnf(i_0_673, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2))).
% 7.85/1.60 cnf(i_0_686, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2))).
% 7.85/1.60 cnf(i_0_556, lemma, (in(X1,set_union2(X1,unordered_pair(X1,X1))))).
% 7.85/1.60 cnf(i_0_767, lemma, (pair_first(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X1)).
% 7.85/1.60 cnf(i_0_766, lemma, (pair_second(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X2)).
% 7.85/1.60 cnf(i_0_92, plain, (set_meet(empty_set)=empty_set)).
% 7.85/1.60 cnf(i_0_116, plain, (relation_field(inclusion_relation(X1))=X1)).
% 7.85/1.60 cnf(i_0_140, plain, (in(X1,unordered_pair(X2,X1)))).
% 7.85/1.60 cnf(i_0_141, plain, (in(X1,unordered_pair(X1,X2)))).
% 7.85/1.60 cnf(i_0_76, plain, (in(X1,unordered_triple(X2,X3,X1)))).
% 7.85/1.60 cnf(i_0_77, plain, (in(X1,unordered_triple(X2,X1,X3)))).
% 7.85/1.60 cnf(i_0_78, plain, (in(X1,unordered_triple(X1,X2,X3)))).
% 7.85/1.60 cnf(i_0_15, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 7.85/1.60 cnf(i_0_16, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 7.85/1.60 cnf(i_0_17, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1)))).
% 7.85/1.60 cnf(i_0_770, negated_conjecture, (~well_ordering(inclusion_relation(esk146_0)))).
% 7.85/1.60 cnf(i_0_463, plain, (~empty(esk105_0))).
% 7.85/1.60 cnf(i_0_466, plain, (~empty(esk107_0))).
% 7.85/1.60 cnf(i_0_473, plain, (~empty(esk109_0))).
% 7.85/1.60 cnf(i_0_353, plain, (~empty(powerset(X1)))).
% 7.85/1.60 cnf(i_0_401, plain, (~proper_subset(X1,X1))).
% 7.85/1.60 cnf(i_0_405, lemma, (unordered_pair(X1,X1)!=empty_set)).
% 7.85/1.60 cnf(i_0_376, plain, (~empty(unordered_pair(X1,X2)))).
% 7.85/1.60 cnf(i_0_351, plain, (~empty(set_union2(X1,unordered_pair(X1,X1))))).
% 7.85/1.60 cnf(i_0_118, plain, (~in(X1,empty_set))).
% 7.85/1.60 cnf(i_0_12, plain, (ordinal(X1)|~empty(X1))).
% 7.85/1.60 cnf(i_0_755, plain, (X1=empty_set|~empty(X1))).
% 7.85/1.60 cnf(i_0_3, plain, (function(X1)|~empty(X1))).
% 7.85/1.60 cnf(i_0_6, plain, (relation(X1)|~empty(X1))).
% 7.85/1.60 cnf(i_0_5, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_4, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_765, plain, (~empty(X1)|~in(X2,X1))).
% 7.85/1.60 cnf(i_0_741, lemma, (~subset(X1,X2)|~proper_subset(X2,X1))).
% 7.85/1.60 cnf(i_0_14, plain, (epsilon_transitive(X1)|~empty(X1))).
% 7.85/1.60 cnf(i_0_380, plain, (ordinal(union(X1))|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_709, lemma, (connected(inclusion_relation(X1))|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_756, lemma, (well_founded_relation(inclusion_relation(X1))|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_13, plain, (epsilon_connected(X1)|~empty(X1))).
% 7.85/1.60 cnf(i_0_449, plain, (empty(X1)|~empty(esk101_1(X1)))).
% 7.85/1.60 cnf(i_0_240, plain, (union(X1)=X1|~being_limit_ordinal(X1))).
% 7.85/1.60 cnf(i_0_239, plain, (being_limit_ordinal(X1)|union(X1)!=X1)).
% 7.85/1.60 cnf(i_0_11, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 7.85/1.60 cnf(i_0_211, plain, (connected(X1)|~well_ordering(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_210, plain, (well_founded_relation(X1)|~well_ordering(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_390, plain, (relation(relation_dom(X1))|~empty(X1))).
% 7.85/1.60 cnf(i_0_392, plain, (relation(relation_rng(X1))|~empty(X1))).
% 7.85/1.60 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 7.85/1.60 cnf(i_0_2, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1))).
% 7.85/1.60 cnf(i_0_685, lemma, (X1=empty_set|~subset(X1,empty_set))).
% 7.85/1.60 cnf(i_0_212, plain, (antisymmetric(X1)|~well_ordering(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_213, plain, (transitive(X1)|~well_ordering(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_214, plain, (reflexive(X1)|~well_ordering(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_163, plain, (epsilon_connected(X1)|esk48_1(X1)!=esk47_1(X1))).
% 7.85/1.60 cnf(i_0_126, plain, (epsilon_transitive(X1)|~subset(esk35_1(X1),X1))).
% 7.85/1.60 cnf(i_0_377, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 7.85/1.60 cnf(i_0_382, plain, (epsilon_transitive(union(X1))|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_381, plain, (epsilon_connected(union(X1))|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_368, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 7.85/1.60 cnf(i_0_144, plain, (well_founded_relation(X1)|esk40_1(X1)!=empty_set|~relation(X1))).
% 7.85/1.60 cnf(i_0_388, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 7.85/1.60 cnf(i_0_389, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 7.85/1.60 cnf(i_0_391, plain, (empty(relation_dom(X1))|~empty(X1))).
% 7.85/1.60 cnf(i_0_393, plain, (empty(relation_rng(X1))|~empty(X1))).
% 7.85/1.60 cnf(i_0_343, plain, (empty(relation_inverse(X1))|~empty(X1))).
% 7.85/1.60 cnf(i_0_342, plain, (relation(relation_inverse(X1))|~empty(X1))).
% 7.85/1.60 cnf(i_0_745, lemma, (X1=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 7.85/1.60 cnf(i_0_134, plain, (empty(X1)|~element(X1,X2)|~empty(X2))).
% 7.85/1.60 cnf(i_0_799, plain, (antisymmetric(X1)|~epred1_2(X1,X2)|~antisymmetric(X2))).
% 7.85/1.60 cnf(i_0_800, plain, (connected(X1)|~epred1_2(X1,X2)|~connected(X2))).
% 7.85/1.60 cnf(i_0_801, plain, (transitive(X1)|~epred1_2(X1,X2)|~transitive(X2))).
% 7.85/1.60 cnf(i_0_320, plain, (relation(relation_inverse(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_625, lemma, (ordinal(X1)|~ordinal(X2)|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_744, lemma, (X1=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 7.85/1.60 cnf(i_0_689, lemma, (being_limit_ordinal(X1)|ordinal(esk135_1(X1))|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_779, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 7.85/1.60 cnf(i_0_399, plain, (relation_inverse(relation_inverse(X1))=X1|~relation(X1))).
% 7.85/1.60 cnf(i_0_798, plain, (well_founded_relation(X1)|~epred1_2(X1,X2)|~well_founded_relation(X2))).
% 7.85/1.60 cnf(i_0_802, plain, (reflexive(X1)|~epred1_2(X1,X2)|~reflexive(X2))).
% 7.85/1.60 cnf(i_0_291, plain, (subset(X1,X2)|~proper_subset(X1,X2))).
% 7.85/1.60 cnf(i_0_407, lemma, (~disjoint(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_693, lemma, (being_limit_ordinal(X1)|ordinal(esk136_1(X1))|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_488, plain, (ordinal_subset(X1,X1)|~ordinal(X2)|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_784, lemma, (well_ordering(X1)|~well_orders(X1,relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_606, plain, (element(X1,X2)|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_746, lemma, (relation_dom(X1)=empty_set|relation_rng(X1)!=empty_set|~relation(X1))).
% 7.85/1.60 cnf(i_0_419, lemma, (antisymmetric(X1)|esk94_1(X1)!=esk93_1(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_426, lemma, (connected(X1)|esk96_1(X1)!=esk95_1(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_164, plain, (epsilon_connected(X1)|~in(esk47_1(X1),esk48_1(X1)))).
% 7.85/1.60 cnf(i_0_645, lemma, (ordinal(X1)|~subset(esk131_1(X1),X1)|~ordinal(esk131_1(X1)))).
% 7.85/1.60 cnf(i_0_417, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set)).
% 7.85/1.60 cnf(i_0_774, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2))).
% 7.85/1.60 cnf(i_0_747, lemma, (relation_rng(X1)=empty_set|relation_dom(X1)!=empty_set|~relation(X1))).
% 7.85/1.60 cnf(i_0_646, lemma, (ordinal(X1)|in(esk131_1(X1),X1))).
% 7.85/1.60 cnf(i_0_162, plain, (epsilon_connected(X1)|~in(esk48_1(X1),esk47_1(X1)))).
% 7.85/1.60 cnf(i_0_8, plain, (one_to_one(X1)|~empty(X1))).
% 7.85/1.60 cnf(i_0_48, plain, (antisymmetric(X1)|~is_antisymmetric_in(X1,relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_68, plain, (connected(X1)|~is_connected_in(X1,relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_117, plain, (X1=empty_set|in(esk31_1(X1),X1))).
% 7.85/1.60 cnf(i_0_651, lemma, (well_ordering(relation_restriction(X1,X2))|~well_ordering(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_773, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1)).
% 7.85/1.60 cnf(i_0_680, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 7.85/1.60 cnf(i_0_307, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_70, plain, (transitive(X1)|~is_transitive_in(X1,relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_736, lemma, (well_founded_relation(X1)|~is_well_founded_in(X1,relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_293, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_749, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1))).
% 7.85/1.60 cnf(i_0_308, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_133, plain, (element(X1,X2)|~empty(X2)|~empty(X1))).
% 7.85/1.60 cnf(i_0_330, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1))).
% 7.85/1.60 cnf(i_0_332, plain, (relation(relation_rng_restriction(X1,X2))|~relation(X2))).
% 7.85/1.60 cnf(i_0_663, lemma, (relation_rng(relation_inverse(X1))=relation_dom(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_664, lemma, (relation_dom(relation_inverse(X1))=relation_rng(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_236, plain, (is_antisymmetric_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_235, plain, (is_connected_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_237, plain, (is_transitive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_127, plain, (epsilon_transitive(X1)|in(esk35_1(X1),X1))).
% 7.85/1.60 cnf(i_0_313, plain, (relation(relation_restriction(X1,X2))|~relation(X1))).
% 7.85/1.60 cnf(i_0_492, lemma, (ordinal(esk112_1(X1))|~ordinal(X2)|~in(X2,X1))).
% 7.85/1.60 cnf(i_0_234, plain, (is_well_founded_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_416, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2))).
% 7.85/1.60 cnf(i_0_166, plain, (epsilon_connected(X1)|in(esk47_1(X1),X1))).
% 7.85/1.60 cnf(i_0_165, plain, (epsilon_connected(X1)|in(esk48_1(X1),X1))).
% 7.85/1.60 cnf(i_0_735, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 7.85/1.60 cnf(i_0_7, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))).
% 7.85/1.60 cnf(i_0_266, plain, (one_to_one(X1)|esk77_1(X1)!=esk76_1(X1)|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_552, plain, (disjoint(X1,X2)|~disjoint(X2,X1))).
% 7.85/1.60 cnf(i_0_85, plain, (relation(X1)|in(esk22_1(X1),X1))).
% 7.85/1.60 cnf(i_0_570, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2))).
% 7.85/1.60 cnf(i_0_487, plain, (subset(X1,X2)|~ordinal_subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_797, lemma, (X1=X2|unordered_pair(X3,X3)!=unordered_pair(X1,X2))).
% 7.85/1.60 cnf(i_0_678, lemma, (~in(X1,X2)|~in(X3,X1)|~in(X2,X3))).
% 7.85/1.60 cnf(i_0_682, lemma, (~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1))).
% 7.85/1.60 cnf(i_0_670, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2))).
% 7.85/1.60 cnf(i_0_671, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2))).
% 7.85/1.60 cnf(i_0_786, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3))).
% 7.85/1.60 cnf(i_0_238, plain, (is_reflexive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_175, plain, (is_well_founded_in(X1,X2)|esk53_2(X1,X2)!=empty_set|~relation(X1))).
% 7.85/1.60 cnf(i_0_25, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 7.85/1.60 cnf(i_0_292, plain, (relation_inverse(X1)=function_inverse(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_171, plain, (subset(X1,X2)|~in(esk51_2(X1,X2),X2))).
% 7.85/1.60 cnf(i_0_768, plain, (~in(X1,esk145_2(X2,X3))|~in(X2,X3)|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_569, lemma, (subset(relation_dom(X1),X2)|~relation_of2_as_subset(X1,X2,X3))).
% 7.85/1.60 cnf(i_0_568, lemma, (subset(relation_rng(X1),X2)|~relation_of2_as_subset(X1,X3,X2))).
% 7.85/1.60 cnf(i_0_484, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))).
% 7.85/1.60 cnf(i_0_679, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 7.85/1.60 cnf(i_0_450, plain, (element(esk101_1(X1),powerset(X1))|empty(X1))).
% 7.85/1.60 cnf(i_0_433, lemma, (subset(X1,union(X2))|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_710, lemma, (~disjoint(X1,X2)|~in(X3,set_difference(X1,set_difference(X1,X2))))).
% 7.85/1.60 cnf(i_0_385, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))).
% 7.85/1.60 cnf(i_0_136, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 7.85/1.60 cnf(i_0_486, plain, (ordinal_subset(X1,X2)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_783, lemma, (well_orders(X1,relation_field(X1))|~well_ordering(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_616, lemma, (in(X1,X2)|~epsilon_transitive(X1)|~ordinal(X2)|~proper_subset(X1,X2))).
% 7.85/1.60 cnf(i_0_371, plain, (ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_584, lemma, (relation_image(X1,relation_dom(X1))=relation_rng(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_728, lemma, (~element(X1,powerset(X2))|~in(X3,subset_complement(X2,X1))|~in(X3,X1))).
% 7.85/1.60 cnf(i_0_369, plain, (function(relation_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_742, lemma, (one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_289, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2))).
% 7.85/1.60 cnf(i_0_128, plain, (subset(X1,X2)|~epsilon_transitive(X2)|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_264, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set)).
% 7.85/1.60 cnf(i_0_688, lemma, (being_limit_ordinal(X1)|in(esk135_1(X1),X1)|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_661, lemma, (apply(identity_relation(X1),X2)=X2|~in(X2,X1))).
% 7.85/1.60 cnf(i_0_196, plain, (is_antisymmetric_in(X1,X2)|esk59_2(X1,X2)!=esk58_2(X1,X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_244, plain, (is_connected_in(X1,X2)|esk71_2(X1,X2)!=esk70_2(X1,X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_437, lemma, (element(X1,powerset(X2))|~in(esk97_2(X1,X2),X2))).
% 7.85/1.60 cnf(i_0_596, lemma, (in(X1,X2)|~relation(X2)|~in(X1,relation_restriction(X2,X3)))).
% 7.85/1.60 cnf(i_0_778, lemma, (subset(relation_dom_restriction(X1,X2),X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_485, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))).
% 7.85/1.60 cnf(i_0_49, plain, (is_antisymmetric_in(X1,relation_field(X1))|~antisymmetric(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_69, plain, (is_connected_in(X1,relation_field(X1))|~connected(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_71, plain, (is_transitive_in(X1,relation_field(X1))|~transitive(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_294, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_562, lemma, (subset(relation_rng_restriction(X1,X2),X2)|~relation(X2))).
% 7.85/1.60 cnf(i_0_757, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2)))).
% 7.85/1.60 cnf(i_0_737, lemma, (is_well_founded_in(X1,relation_field(X1))|~well_founded_relation(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_341, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 7.85/1.60 cnf(i_0_395, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 7.85/1.60 cnf(i_0_378, plain, (function(relation_dom_restriction(X1,X2))|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_386, plain, (function(relation_rng_restriction(X1,X2))|~relation(X2)|~function(X2))).
% 7.85/1.60 cnf(i_0_366, plain, (relation(set_union2(X1,X2))|~relation(X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_730, lemma, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_375, plain, (relation(set_difference(X1,X2))|~relation(X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_340, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))).
% 7.85/1.60 cnf(i_0_394, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))).
% 7.85/1.60 cnf(i_0_324, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_634, lemma, (antisymmetric(relation_restriction(X1,X2))|~antisymmetric(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_629, lemma, (connected(relation_restriction(X1,X2))|~connected(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_731, lemma, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_631, lemma, (transitive(relation_restriction(X1,X2))|~transitive(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_647, lemma, (well_founded_relation(relation_restriction(X1,X2))|~well_founded_relation(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_623, lemma, (reflexive(relation_restriction(X1,X2))|~reflexive(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_347, plain, (relation_empty_yielding(relation_dom_restriction(X1,X2))|~relation_empty_yielding(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_789, lemma, (relation_composition(identity_relation(X1),X2)=relation_dom_restriction(X2,X1)|~relation(X2))).
% 7.85/1.60 cnf(i_0_700, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2))))).
% 7.85/1.60 cnf(i_0_91, plain, (subset(X1,cartesian_product2(X2,X3))|~relation_of2(X1,X2,X3))).
% 7.85/1.60 cnf(i_0_90, plain, (relation_of2(X1,X2,X3)|~subset(X1,cartesian_product2(X2,X3)))).
% 7.85/1.60 cnf(i_0_241, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_408, lemma, (disjoint(unordered_pair(X1,X1),X2)|in(X1,X2))).
% 7.85/1.60 cnf(i_0_209, plain, (well_ordering(X1)|~reflexive(X1)|~well_founded_relation(X1)|~transitive(X1)|~connected(X1)|~antisymmetric(X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_597, lemma, (X1=empty_set|relation_inverse_image(X2,X1)!=empty_set|~subset(X1,relation_rng(X2))|~relation(X2))).
% 7.85/1.60 cnf(i_0_172, plain, (subset(X1,X2)|in(esk51_2(X1,X2),X1))).
% 7.85/1.60 cnf(i_0_650, lemma, (X1=empty_set|ordinal(esk132_2(X1,X2))|~subset(X1,X2)|~ordinal(X2))).
% 7.85/1.60 cnf(i_0_769, plain, (in(esk145_2(X1,X2),X2)|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_414, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_428, lemma, (connected(X1)|in(esk95_1(X1),relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_683, lemma, (disjoint(X1,X2)|in(esk134_2(X1,X2),X2))).
% 7.85/1.60 cnf(i_0_777, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_dom(relation_dom_restriction(X3,X2))))).
% 7.85/1.60 cnf(i_0_602, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_field(relation_restriction(X3,X2))))).
% 7.85/1.60 cnf(i_0_560, lemma, (in(X1,X2)|~relation(X3)|~in(X1,relation_rng(relation_rng_restriction(X2,X3))))).
% 7.85/1.60 cnf(i_0_173, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_684, lemma, (disjoint(X1,X2)|in(esk134_2(X1,X2),X1))).
% 7.85/1.60 cnf(i_0_481, plain, (union_of_subsets(X1,X2)=union(X2)|~element(X2,powerset(powerset(X1))))).
% 7.85/1.60 cnf(i_0_482, plain, (meet_of_subsets(X1,X2)=set_meet(X2)|~element(X2,powerset(powerset(X1))))).
% 7.85/1.60 cnf(i_0_373, plain, (epsilon_transitive(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_372, plain, (epsilon_connected(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_427, lemma, (connected(X1)|in(esk96_1(X1),relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_580, lemma, (subset(relation_image(X1,X2),relation_rng(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_607, lemma, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))).
% 7.85/1.60 cnf(i_0_743, lemma, (disjoint(X1,X2)|~disjoint(X3,X2)|~subset(X1,X3))).
% 7.85/1.60 cnf(i_0_261, plain, (one_to_one(X1)|~relation_isomorphism(X2,X3,X1)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_84, plain, (relation(X1)|esk22_1(X1)!=unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))).
% 7.85/1.60 cnf(i_0_592, lemma, (subset(relation_inverse_image(X1,X2),relation_dom(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_557, lemma, (X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X2,X3))).
% 7.85/1.60 cnf(i_0_231, plain, (subset_complement(X1,X2)=set_difference(X1,X2)|~element(X2,powerset(X1)))).
% 7.85/1.60 cnf(i_0_145, plain, (well_founded_relation(X1)|subset(esk40_1(X1),relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_748, lemma, (set_difference(X1,unordered_pair(X2,X2))=X1|in(X2,X1))).
% 7.85/1.60 cnf(i_0_572, lemma, (in(powerset(X1),esk123_1(X2))|~in(X1,esk123_1(X2)))).
% 7.85/1.60 cnf(i_0_143, plain, (well_founded_relation(X1)|~disjoint(fiber(X1,X2),esk40_1(X1))|~relation(X1)|~in(X2,esk40_1(X1)))).
% 7.85/1.60 cnf(i_0_265, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2))).
% 7.85/1.60 cnf(i_0_491, lemma, (in(esk112_1(X1),X1)|~ordinal(X2)|~in(X2,X1))).
% 7.85/1.60 cnf(i_0_550, lemma, (ordinal(esk122_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk121_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_611, lemma, (subset(relation_field(relation_restriction(X1,X2)),X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_403, lemma, (reflexive(X1)|in(esk89_1(X1),relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_776, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(X1,relation_dom(relation_dom_restriction(X2,X3))))).
% 7.85/1.60 cnf(i_0_603, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(X1,relation_field(relation_restriction(X2,X3))))).
% 7.85/1.60 cnf(i_0_559, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(X1,relation_rng(relation_rng_restriction(X3,X2))))).
% 7.85/1.60 cnf(i_0_636, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2))).
% 7.85/1.60 cnf(i_0_561, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),X1)|~relation(X2))).
% 7.85/1.60 cnf(i_0_406, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_438, lemma, (element(X1,powerset(X2))|in(esk97_2(X1,X2),X1))).
% 7.85/1.60 cnf(i_0_418, lemma, (in(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_708, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_349, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 7.85/1.60 cnf(i_0_479, plain, (relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)|~relation_of2(X3,X1,X2))).
% 7.85/1.60 cnf(i_0_480, plain, (relation_rng_as_subset(X1,X2,X3)=relation_rng(X3)|~relation_of2(X3,X1,X2))).
% 7.85/1.60 cnf(i_0_18, plain, (ordinal_subset(X1,X2)|ordinal_subset(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_432, lemma, (X1=unordered_pair(X2,X2)|X1=empty_set|~subset(X1,unordered_pair(X2,X2)))).
% 7.85/1.60 cnf(i_0_269, plain, (one_to_one(X1)|in(esk76_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_601, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X1))=relation_restriction(X2,X1)|~relation(X2))).
% 7.85/1.60 cnf(i_0_729, lemma, (well_ordering(X1)|~relation_isomorphism(X2,X1,X3)|~well_ordering(X2)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 7.85/1.60 cnf(i_0_640, plain, (X1=X2|~in(esk130_2(X1,X2),X2)|~in(esk130_2(X1,X2),X1))).
% 7.85/1.60 cnf(i_0_599, lemma, (relation_dom_restriction(relation_rng_restriction(X1,X2),X1)=relation_restriction(X2,X1)|~relation(X2))).
% 7.85/1.60 cnf(i_0_549, lemma, (esk122_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk121_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_398, plain, (subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1)))).
% 7.85/1.60 cnf(i_0_268, plain, (one_to_one(X1)|in(esk77_1(X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_652, lemma, (in(X1,X2)|~ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_669, lemma, (subset(unordered_pair(X1,X2),X3)|~in(X2,X3)|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_785, lemma, (subset(set_union2(X1,X2),X3)|~subset(X2,X3)|~subset(X1,X3))).
% 7.85/1.60 cnf(i_0_794, plain, (in(esk148_2(X1,X2),esk147_1(X1))|~in(X2,esk147_1(X1)))).
% 7.85/1.60 cnf(i_0_317, plain, (element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1)))).
% 7.85/1.60 cnf(i_0_630, lemma, (X1=X2|in(X1,X2)|in(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_617, lemma, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1))).
% 7.85/1.60 cnf(i_0_687, lemma, (being_limit_ordinal(X1)|~ordinal(X1)|~in(set_union2(esk135_1(X1),unordered_pair(esk135_1(X1),esk135_1(X1))),X1))).
% 7.85/1.60 cnf(i_0_694, lemma, (disjoint(X1,X2)|~subset(X1,subset_complement(X3,X2))|~element(X2,powerset(X3))|~element(X1,powerset(X3)))).
% 7.85/1.60 cnf(i_0_633, lemma, (subset(relation_dom(X1),relation_dom(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_409, lemma, (subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))|~relation(X2))).
% 7.85/1.60 cnf(i_0_336, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))).
% 7.85/1.60 cnf(i_0_352, plain, (relation(set_difference(X1,set_difference(X1,X2)))|~relation(X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_672, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_ordering(X1)|~subset(X2,relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_400, plain, (complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1))))).
% 7.85/1.60 cnf(i_0_612, lemma, (subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_632, lemma, (subset(relation_rng(X1),relation_rng(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_793, plain, (in(X1,esk148_2(X2,X3))|~subset(X1,X3)|~in(X3,esk147_1(X2)))).
% 7.85/1.60 cnf(i_0_120, plain, (X1=powerset(X2)|~subset(esk32_2(X2,X1),X2)|~in(esk32_2(X2,X1),X1))).
% 7.85/1.60 cnf(i_0_586, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(relation_rng(X1),X3))).
% 7.85/1.60 cnf(i_0_790, lemma, (subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_563, lemma, (subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))|~relation(X2))).
% 7.85/1.60 cnf(i_0_200, plain, (is_antisymmetric_in(X1,X2)|in(esk58_2(X1,X2),X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_199, plain, (is_antisymmetric_in(X1,X2)|in(esk59_2(X1,X2),X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_246, plain, (is_connected_in(X1,X2)|in(esk70_2(X1,X2),X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_245, plain, (is_connected_in(X1,X2)|in(esk71_2(X1,X2),X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_573, lemma, (in(X1,esk123_1(X2))|~subset(X1,X3)|~in(X3,esk123_1(X2)))).
% 7.85/1.60 cnf(i_0_795, plain, (in(X1,esk147_1(X2))|~subset(X1,X3)|~in(X3,esk147_1(X2)))).
% 7.85/1.60 cnf(i_0_593, lemma, (relation_of2_as_subset(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X4)|~subset(X4,X3))).
% 7.85/1.60 cnf(i_0_435, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)))).
% 7.85/1.60 cnf(i_0_282, plain, (is_transitive_in(X1,X2)|in(esk82_2(X1,X2),X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_281, plain, (is_transitive_in(X1,X2)|in(esk83_2(X1,X2),X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_280, plain, (is_transitive_in(X1,X2)|in(esk84_2(X1,X2),X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_88, plain, (is_reflexive_in(X1,X2)|in(esk23_2(X1,X2),X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_176, plain, (is_well_founded_in(X1,X2)|subset(esk53_2(X1,X2),X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_565, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3))).
% 7.85/1.60 cnf(i_0_436, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)))).
% 7.85/1.60 cnf(i_0_326, plain, (element(union_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 7.85/1.60 cnf(i_0_564, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3))).
% 7.85/1.60 cnf(i_0_649, lemma, (X1=empty_set|in(esk132_2(X1,X2),X1)|~subset(X1,X2)|~ordinal(X2))).
% 7.85/1.60 cnf(i_0_328, plain, (element(meet_of_subsets(X1,X2),powerset(X1))|~element(X2,powerset(powerset(X1))))).
% 7.85/1.60 cnf(i_0_654, lemma, (subset(set_difference(X1,X2),set_difference(X3,X2))|~subset(X1,X3))).
% 7.85/1.60 cnf(i_0_587, lemma, (relation_image(X1,relation_rng(X2))=relation_rng(relation_composition(X2,X1))|~relation(X1)|~relation(X2))).
% 7.85/1.60 cnf(i_0_267, plain, (apply(X1,esk77_1(X1))=apply(X1,esk76_1(X1))|one_to_one(X1)|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_575, lemma, (relation_rng_restriction(X1,relation_dom_restriction(X2,X3))=relation_dom_restriction(relation_rng_restriction(X1,X2),X3)|~relation(X2))).
% 7.85/1.60 cnf(i_0_263, plain, (relation_field(X1)=relation_dom(X2)|~relation_isomorphism(X1,X3,X2)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X2))).
% 7.85/1.60 cnf(i_0_262, plain, (relation_rng(X1)=relation_field(X2)|~relation_isomorphism(X3,X2,X1)|~relation(X3)|~relation(X2)|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_713, lemma, (epred1_2(X1,X2)|~relation_isomorphism(X2,X1,X3)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 7.85/1.60 cnf(i_0_138, plain, (X1=unordered_pair(X2,X3)|esk38_3(X2,X3,X1)!=X3|~in(esk38_3(X2,X3,X1),X1))).
% 7.85/1.60 cnf(i_0_571, lemma, (are_equipotent(X1,esk123_1(X2))|in(X1,esk123_1(X2))|~subset(X1,esk123_1(X2)))).
% 7.85/1.60 cnf(i_0_792, plain, (are_equipotent(X1,esk147_1(X2))|in(X1,esk147_1(X2))|~subset(X1,esk147_1(X2)))).
% 7.85/1.60 cnf(i_0_321, plain, (element(relation_dom_as_subset(X1,X2,X3),powerset(X1))|~relation_of2(X3,X1,X2))).
% 7.85/1.60 cnf(i_0_139, plain, (X1=unordered_pair(X2,X3)|esk38_3(X2,X3,X1)!=X2|~in(esk38_3(X2,X3,X1),X1))).
% 7.85/1.60 cnf(i_0_325, plain, (element(relation_rng_as_subset(X1,X2,X3),powerset(X2))|~relation_of2(X3,X1,X2))).
% 7.85/1.60 cnf(i_0_696, lemma, (subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1))|~relation(X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_174, plain, (is_well_founded_in(X1,X2)|~disjoint(fiber(X1,X3),esk53_2(X1,X2))|~relation(X1)|~in(X3,esk53_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_610, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 7.85/1.60 cnf(i_0_643, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 7.85/1.60 cnf(i_0_644, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2))).
% 7.85/1.60 cnf(i_0_697, lemma, (subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))|~relation(X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_490, lemma, (ordinal_subset(esk112_1(X1),X2)|~ordinal(X3)|~ordinal(X2)|~in(X3,X1)|~in(X2,X1))).
% 7.85/1.60 cnf(i_0_548, lemma, (in(esk122_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk121_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_581, lemma, (subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_101, plain, (X1=unordered_pair(X2,X2)|esk27_2(X2,X1)!=X2|~in(esk27_2(X2,X1),X1))).
% 7.85/1.60 cnf(i_0_248, plain, (set_difference(X1,set_difference(X1,cartesian_product2(X2,X2)))=relation_restriction(X1,X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_609, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 7.85/1.60 cnf(i_0_595, lemma, (in(X1,cartesian_product2(X2,X2))|~relation(X3)|~in(X1,relation_restriction(X3,X2)))).
% 7.85/1.60 cnf(i_0_233, 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))).
% 7.85/1.60 cnf(i_0_331, plain, (element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1))))).
% 7.85/1.60 cnf(i_0_577, lemma, (in(esk124_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 7.85/1.60 cnf(i_0_589, lemma, (in(esk125_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 7.85/1.60 cnf(i_0_585, lemma, (relation_image(X1,relation_inverse_image(X1,X2))=X2|~subset(X2,relation_rng(X1))|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_598, lemma, (subset(relation_inverse_image(X1,X2),relation_inverse_image(X1,X3))|~subset(X2,X3)|~relation(X1))).
% 7.85/1.60 cnf(i_0_100, plain, (esk27_2(X1,X2)=X1|X2=unordered_pair(X1,X1)|in(esk27_2(X1,X2),X2))).
% 7.85/1.60 cnf(i_0_618, lemma, (subset(fiber(relation_restriction(X1,X2),X3),fiber(X1,X3))|~relation(X1))).
% 7.85/1.60 cnf(i_0_205, plain, (X1=union(X2)|~in(esk61_2(X2,X1),X3)|~in(esk61_2(X2,X1),X1)|~in(X3,X2))).
% 7.85/1.60 cnf(i_0_615, lemma, (in(X1,relation_dom(X2))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(X1,relation_dom(relation_composition(X2,X3))))).
% 7.85/1.60 cnf(i_0_699, lemma, (relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~subset(relation_rng(X1),relation_dom(X2))|~relation(X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_702, lemma, (relation_rng(relation_composition(X1,X2))=relation_rng(X2)|~subset(relation_dom(X2),relation_rng(X1))|~relation(X1)|~relation(X2))).
% 7.85/1.60 cnf(i_0_787, lemma, (set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2))=relation_dom(relation_dom_restriction(X1,X2))|~relation(X1))).
% 7.85/1.60 cnf(i_0_653, lemma, (ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_483, plain, (subset_difference(X1,X2,X3)=set_difference(X2,X3)|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 7.85/1.60 cnf(i_0_497, plain, (esk119_3(X1,X2,X3)=X3|esk115_2(X1,X2)!=esk114_2(X1,X2)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_566, lemma, (set_difference(relation_rng(X1),set_difference(relation_rng(X1),X2))=relation_rng(relation_rng_restriction(X2,X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_425, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk95_1(X1),esk95_1(X1)),unordered_pair(esk95_1(X1),esk96_1(X1))),X1))).
% 7.85/1.60 cnf(i_0_424, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk95_1(X1),esk96_1(X1)),unordered_pair(esk96_1(X1),esk96_1(X1))),X1))).
% 7.85/1.60 cnf(i_0_410, lemma, (transitive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk90_1(X1),esk90_1(X1)),unordered_pair(esk90_1(X1),esk92_1(X1))),X1))).
% 7.85/1.60 cnf(i_0_692, lemma, (set_union2(esk136_1(X1),unordered_pair(esk136_1(X1),esk136_1(X1)))=X1|being_limit_ordinal(X1)|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_567, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))|~subset(X2,X4)|~subset(X1,X3))).
% 7.85/1.60 cnf(i_0_583, lemma, (subset(X1,relation_inverse_image(X2,relation_image(X2,X1)))|~subset(X1,relation_dom(X2))|~relation(X2))).
% 7.85/1.60 cnf(i_0_604, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2))).
% 7.85/1.60 cnf(i_0_711, lemma, (disjoint(X1,X2)|in(esk137_2(X1,X2),set_difference(X1,set_difference(X1,X2))))).
% 7.85/1.60 cnf(i_0_402, lemma, (reflexive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk89_1(X1),esk89_1(X1)),unordered_pair(esk89_1(X1),esk89_1(X1))),X1))).
% 7.85/1.60 cnf(i_0_695, lemma, (subset(X1,subset_complement(X2,X3))|~disjoint(X1,X3)|~element(X3,powerset(X2))|~element(X1,powerset(X2)))).
% 7.85/1.60 cnf(i_0_764, lemma, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_composition(identity_relation(X2),X3)))).
% 7.85/1.60 cnf(i_0_423, lemma, (subset(X1,set_difference(X2,unordered_pair(X3,X3)))|in(X3,X1)|~subset(X1,X2))).
% 7.85/1.60 cnf(i_0_147, plain, (X1=empty_set|in(esk39_2(X2,X1),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 7.85/1.60 cnf(i_0_538, plain, (ordinal(esk120_3(X1,X2,X3))|ordinal(esk116_2(X1,X2))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_514, plain, (ordinal(esk120_3(X1,X2,X3))|ordinal(esk117_2(X1,X2))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_775, lemma, (in(X1,relation_dom(relation_dom_restriction(X2,X3)))|~relation(X2)|~in(X1,relation_dom(X2))|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_781, lemma, (X1=apply(X2,X3)|~relation(X2)|~function(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2))).
% 7.85/1.60 cnf(i_0_655, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)))).
% 7.85/1.60 cnf(i_0_656, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)))).
% 7.85/1.60 cnf(i_0_558, lemma, (in(X1,relation_rng(relation_rng_restriction(X2,X3)))|~relation(X3)|~in(X1,relation_rng(X3))|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_639, plain, (X1=X2|in(esk130_2(X1,X2),X1)|in(esk130_2(X1,X2),X2))).
% 7.85/1.60 cnf(i_0_648, lemma, (X1=empty_set|ordinal_subset(esk132_2(X1,X2),X3)|~subset(X1,X2)|~ordinal(X2)|~ordinal(X3)|~in(X3,X1))).
% 7.85/1.60 cnf(i_0_761, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,X2))).
% 7.85/1.60 cnf(i_0_167, plain, (X1=X2|in(X1,X2)|in(X2,X1)|~epsilon_connected(X3)|~in(X2,X3)|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_622, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|in(esk126_3(X2,X1,X3),X1)|~relation_of2_as_subset(X3,X1,X2))).
% 7.85/1.60 cnf(i_0_706, lemma, (relation_isomorphism(X1,X2,function_inverse(X3))|~relation_isomorphism(X2,X1,X3)|~relation(X3)|~relation(X1)|~relation(X2)|~function(X3))).
% 7.85/1.60 cnf(i_0_149, plain, (X1=set_union2(X2,X3)|~in(esk41_3(X2,X3,X1),X1)|~in(esk41_3(X2,X3,X1),X3))).
% 7.85/1.60 cnf(i_0_150, plain, (X1=set_union2(X2,X3)|~in(esk41_3(X2,X3,X1),X1)|~in(esk41_3(X2,X3,X1),X2))).
% 7.85/1.60 cnf(i_0_594, lemma, (in(X1,relation_restriction(X2,X3))|~relation(X2)|~in(X1,cartesian_product2(X3,X3))|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_628, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|in(esk128_3(X1,X2,X3),X2)|~relation_of2_as_subset(X3,X1,X2))).
% 7.85/1.60 cnf(i_0_579, lemma, (in(esk124_3(X1,X2,X3),relation_dom(X3))|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 7.85/1.60 cnf(i_0_591, lemma, (in(esk125_3(X1,X2,X3),relation_rng(X3))|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 7.85/1.60 cnf(i_0_496, plain, (ordinal(esk120_3(X1,X2,X3))|esk115_2(X1,X2)!=esk114_2(X1,X2)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_95, plain, (X1=set_meet(X2)|X2=empty_set|~in(esk25_2(X2,X1),esk26_2(X2,X1))|~in(esk25_2(X2,X1),X1))).
% 7.85/1.60 cnf(i_0_119, plain, (X1=powerset(X2)|subset(esk32_2(X2,X1),X2)|in(esk32_2(X2,X1),X1))).
% 7.85/1.60 cnf(i_0_582, lemma, (relation_image(X1,set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2)))=relation_image(X1,X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_73, plain, (X1=unordered_triple(X2,X3,X4)|esk17_4(X2,X3,X4,X1)!=X4|~in(esk17_4(X2,X3,X4,X1),X1))).
% 7.85/1.60 cnf(i_0_74, plain, (X1=unordered_triple(X2,X3,X4)|esk17_4(X2,X3,X4,X1)!=X3|~in(esk17_4(X2,X3,X4,X1),X1))).
% 7.85/1.60 cnf(i_0_75, plain, (X1=unordered_triple(X2,X3,X4)|esk17_4(X2,X3,X4,X1)!=X2|~in(esk17_4(X2,X3,X4,X1),X1))).
% 7.85/1.60 cnf(i_0_203, plain, (X1=union(X2)|in(esk62_2(X2,X1),X2)|in(esk61_2(X2,X1),X1))).
% 7.85/1.60 cnf(i_0_690, lemma, (in(set_union2(X1,unordered_pair(X1,X1)),X2)|~being_limit_ordinal(X2)|~ordinal(X2)|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_537, plain, (esk120_3(X1,X2,X3)=X3|ordinal(esk116_2(X1,X2))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_513, plain, (esk120_3(X1,X2,X3)=X3|ordinal(esk117_2(X1,X2))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_539, plain, (esk119_3(X1,X2,X3)=X3|ordinal(esk116_2(X1,X2))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_533, plain, (esk116_2(X1,X2)=esk114_2(X1,X2)|esk119_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_614, lemma, (in(apply(X1,X2),relation_dom(X3))|~relation(X3)|~relation(X1)|~function(X3)|~function(X1)|~in(X2,relation_dom(relation_composition(X1,X3))))).
% 7.85/1.60 cnf(i_0_329, plain, (element(subset_difference(X1,X2,X3),powerset(X1))|~element(X3,powerset(X1))|~element(X2,powerset(X1)))).
% 7.85/1.60 cnf(i_0_495, plain, (esk120_3(X1,X2,X3)=X3|esk115_2(X1,X2)!=esk114_2(X1,X2)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_509, plain, (esk117_2(X1,X2)=esk115_2(X1,X2)|esk119_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_515, plain, (esk119_3(X1,X2,X3)=X3|ordinal(esk117_2(X1,X2))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_551, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk121_2(X3,X2)))).
% 7.85/1.60 cnf(i_0_178, plain, (X1=empty_set|in(esk52_3(X2,X3,X1),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 7.85/1.60 cnf(i_0_204, plain, (X1=union(X2)|in(esk61_2(X2,X1),esk62_2(X2,X1))|in(esk61_2(X2,X1),X1))).
% 7.85/1.60 cnf(i_0_270, 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)))).
% 7.85/1.60 cnf(i_0_635, lemma, (subset(set_difference(X1,set_difference(X1,X2)),set_difference(X3,set_difference(X3,X2)))|~subset(X1,X3))).
% 7.85/1.60 cnf(i_0_734, lemma, (apply(X1,apply(function_inverse(X1),X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 7.85/1.60 cnf(i_0_733, lemma, (apply(relation_composition(function_inverse(X1),X1),X2)=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 7.85/1.60 cnf(i_0_222, plain, (X1=relation_rng(X2)|in(esk66_2(X2,X1),relation_dom(X2))|in(esk65_2(X2,X1),X1)|~relation(X2)|~function(X2))).
% 7.85/1.60 cnf(i_0_105, plain, (X1=fiber(X2,X3)|in(esk28_3(X2,X3,X1),X1)|esk28_3(X2,X3,X1)!=X3|~relation(X2))).
% 7.85/1.60 cnf(i_0_758, lemma, (apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~relation(X1)|~function(X1)|~in(X3,relation_dom(relation_dom_restriction(X1,X2))))).
% 7.85/1.60 cnf(i_0_96, plain, (X1=set_meet(X2)|X2=empty_set|in(esk26_2(X2,X1),X2)|~in(esk25_2(X2,X1),X1))).
% 7.85/1.60 cnf(i_0_712, lemma, (X1=empty_set|in(X2,subset_complement(X1,X3))|in(X2,X3)|~element(X3,powerset(X1))|~element(X2,X1))).
% 7.85/1.60 cnf(i_0_544, plain, (esk113_2(X1,X2)=esk114_2(X1,X2)|ordinal(esk120_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_520, plain, (esk113_2(X1,X2)=esk115_2(X1,X2)|ordinal(esk120_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_94, plain, (X1=set_meet(X2)|X2=empty_set|in(esk25_2(X2,X1),X1)|in(esk25_2(X2,X1),X3)|~in(X3,X2))).
% 7.85/1.60 cnf(i_0_704, 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))))).
% 7.85/1.60 cnf(i_0_627, lemma, (relation_rng_as_subset(X1,X2,X3)=X2|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(X4,esk128_3(X1,X2,X3)),unordered_pair(X4,X4)),X3))).
% 7.85/1.60 cnf(i_0_223, plain, (X1=relation_rng(X2)|esk65_2(X2,X1)!=apply(X2,X3)|~relation(X2)|~function(X2)|~in(esk65_2(X2,X1),X1)|~in(X3,relation_dom(X2)))).
% 7.85/1.60 cnf(i_0_494, plain, (in(esk120_3(X1,X2,X3),X1)|esk115_2(X1,X2)!=esk114_2(X1,X2)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_703, 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))))).
% 7.85/1.60 cnf(i_0_532, plain, (esk116_2(X1,X2)=esk114_2(X1,X2)|ordinal(esk120_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_508, plain, (esk117_2(X1,X2)=esk115_2(X1,X2)|ordinal(esk120_3(X1,X2,X3))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_536, plain, (ordinal(esk116_2(X1,X2))|in(esk120_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_512, plain, (ordinal(esk117_2(X1,X2))|in(esk120_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_543, plain, (esk113_2(X1,X2)=esk114_2(X1,X2)|esk120_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_228, plain, (X1=relation_rng(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,esk68_2(X2,X1)),unordered_pair(X3,X3)),X2)|~in(esk68_2(X2,X1),X1))).
% 7.85/1.60 cnf(i_0_243, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk70_2(X1,X2),esk70_2(X1,X2)),unordered_pair(esk70_2(X1,X2),esk71_2(X1,X2))),X1))).
% 7.85/1.60 cnf(i_0_519, plain, (esk113_2(X1,X2)=esk115_2(X1,X2)|esk120_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_526, plain, (ordinal(esk120_3(X1,X2,X3))|in(esk116_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_502, plain, (ordinal(esk120_3(X1,X2,X3))|in(esk117_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_146, plain, (X1=empty_set|disjoint(fiber(X2,esk39_2(X2,X1)),X1)|~well_founded_relation(X2)|~subset(X1,relation_field(X2))|~relation(X2))).
% 7.85/1.60 cnf(i_0_531, plain, (esk116_2(X1,X2)=esk114_2(X1,X2)|esk120_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_221, plain, (apply(X1,esk66_2(X1,X2))=esk65_2(X1,X2)|X2=relation_rng(X1)|in(esk65_2(X1,X2),X2)|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_507, plain, (esk117_2(X1,X2)=esk115_2(X1,X2)|esk120_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_242, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk70_2(X1,X2),esk71_2(X1,X2)),unordered_pair(esk71_2(X1,X2),esk71_2(X1,X2))),X1))).
% 7.85/1.60 cnf(i_0_277, plain, (is_transitive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk82_2(X1,X2),esk82_2(X1,X2)),unordered_pair(esk82_2(X1,X2),esk84_2(X1,X2))),X1))).
% 7.85/1.60 cnf(i_0_87, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk23_2(X1,X2),esk23_2(X1,X2)),unordered_pair(esk23_2(X1,X2),esk23_2(X1,X2))),X1))).
% 7.85/1.60 cnf(i_0_545, plain, (esk113_2(X1,X2)=esk114_2(X1,X2)|esk119_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_521, plain, (esk113_2(X1,X2)=esk115_2(X1,X2)|esk119_3(X1,X2,X3)=X3|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_525, plain, (esk120_3(X1,X2,X3)=X3|in(esk116_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_501, plain, (esk120_3(X1,X2,X3)=X3|in(esk117_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_527, plain, (esk119_3(X1,X2,X3)=X3|in(esk116_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_503, plain, (esk119_3(X1,X2,X3)=X3|in(esk117_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_404, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~reflexive(X2)|~relation(X2)|~in(X1,relation_field(X2)))).
% 7.85/1.60 cnf(i_0_137, plain, (esk38_3(X1,X2,X3)=X1|esk38_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)|in(esk38_3(X1,X2,X3),X3))).
% 7.85/1.60 cnf(i_0_215, plain, (X1=set_difference(X2,X3)|in(esk63_3(X2,X3,X1),X1)|~in(esk63_3(X2,X3,X1),X3))).
% 7.85/1.60 cnf(i_0_177, plain, (X1=empty_set|disjoint(fiber(X2,esk52_3(X2,X3,X1)),X1)|~is_well_founded_in(X2,X3)|~subset(X1,X3)|~relation(X2))).
% 7.85/1.60 cnf(i_0_434, lemma, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_156, plain, (X1=cartesian_product2(X2,X3)|in(esk45_3(X2,X3,X1),X2)|in(esk44_3(X2,X3,X1),X1))).
% 7.85/1.60 cnf(i_0_168, plain, (subset(X1,X2)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk49_2(X1,X2),esk49_2(X1,X2)),unordered_pair(esk49_2(X1,X2),esk50_2(X1,X2))),X2))).
% 7.85/1.60 cnf(i_0_155, plain, (X1=cartesian_product2(X2,X3)|in(esk46_3(X2,X3,X1),X3)|in(esk44_3(X2,X3,X1),X1))).
% 7.85/1.60 cnf(i_0_624, 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)))).
% 7.85/1.60 cnf(i_0_542, plain, (esk113_2(X1,X2)=esk114_2(X1,X2)|in(esk120_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_518, plain, (esk113_2(X1,X2)=esk115_2(X1,X2)|in(esk120_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_216, plain, (X1=set_difference(X2,X3)|in(esk63_3(X2,X3,X1),X2)|in(esk63_3(X2,X3,X1),X1))).
% 7.85/1.60 cnf(i_0_613, 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)))).
% 7.85/1.60 cnf(i_0_422, 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))).
% 7.85/1.60 cnf(i_0_193, plain, (X1=relation_dom(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(esk56_2(X2,X1),X3),unordered_pair(esk56_2(X2,X1),esk56_2(X2,X1))),X2)|~in(esk56_2(X2,X1),X1))).
% 7.85/1.60 cnf(i_0_530, plain, (esk116_2(X1,X2)=esk114_2(X1,X2)|in(esk120_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_506, plain, (esk117_2(X1,X2)=esk115_2(X1,X2)|in(esk120_3(X1,X2,X3),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_524, plain, (in(esk120_3(X1,X2,X3),X1)|in(esk116_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_500, plain, (in(esk120_3(X1,X2,X3),X1)|in(esk117_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_89, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),X2)|~is_reflexive_in(X2,X3)|~relation(X2)|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_732, lemma, (X1=empty_set|in(unordered_pair(unordered_pair(esk142_1(X1),esk142_1(X1)),unordered_pair(esk142_1(X1),esk143_1(X1))),X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_619, 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))))).
% 7.85/1.60 cnf(i_0_763, 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)))).
% 7.85/1.60 cnf(i_0_421, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk93_1(X1),esk93_1(X1)),unordered_pair(esk93_1(X1),esk94_1(X1))),X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_286, plain, (X1=complements_of_subsets(X2,X3)|element(esk85_3(X2,X3,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 7.85/1.60 cnf(i_0_420, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk93_1(X1),esk94_1(X1)),unordered_pair(esk94_1(X1),esk94_1(X1))),X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_576, lemma, (in(X1,relation_image(X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X2)|~in(X4,X3))).
% 7.85/1.60 cnf(i_0_588, 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))).
% 7.85/1.60 cnf(i_0_412, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk90_1(X1),esk90_1(X1)),unordered_pair(esk90_1(X1),esk91_1(X1))),X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_540, plain, (ordinal(esk116_2(X1,X2))|in(esk119_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_516, plain, (ordinal(esk117_2(X1,X2))|in(esk119_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_722, lemma, (X1=function_inverse(X2)|in(esk141_2(X2,X1),relation_dom(X2))|in(esk138_2(X2,X1),relation_rng(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 7.85/1.60 cnf(i_0_411, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk91_1(X1),esk91_1(X1)),unordered_pair(esk91_1(X1),esk92_1(X1))),X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_181, plain, (X1=set_difference(X2,set_difference(X2,X3))|~in(esk54_3(X2,X3,X1),X1)|~in(esk54_3(X2,X3,X1),X3)|~in(esk54_3(X2,X3,X1),X2))).
% 7.85/1.60 cnf(i_0_285, plain, (X1=complements_of_subsets(X2,X3)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2)))|~in(subset_complement(X2,esk85_3(X2,X3,X1)),X3)|~in(esk85_3(X2,X3,X1),X1))).
% 7.85/1.60 cnf(i_0_52, 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))).
% 7.85/1.60 cnf(i_0_58, 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))).
% 7.85/1.60 cnf(i_0_180, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk54_3(X2,X3,X1),X2)|in(esk54_3(X2,X3,X1),X1))).
% 7.85/1.60 cnf(i_0_498, plain, (in(esk119_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|esk115_2(X1,X2)!=esk114_2(X1,X2)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_590, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk125_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2)))).
% 7.85/1.60 cnf(i_0_56, plain, (X1=relation_image(X2,X3)|in(esk13_3(X2,X3,X1),X3)|in(esk12_3(X2,X3,X1),X1)|~relation(X2))).
% 7.85/1.60 cnf(i_0_719, lemma, (apply(X1,esk138_2(X2,X1))=esk139_2(X2,X1)|X1=function_inverse(X2)|in(esk141_2(X2,X1),relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
% 7.85/1.60 cnf(i_0_62, plain, (X1=relation_inverse_image(X2,X3)|in(esk16_3(X2,X3,X1),X3)|in(esk15_3(X2,X3,X1),X1)|~relation(X2))).
% 7.85/1.60 cnf(i_0_621, lemma, (relation_dom_as_subset(X1,X2,X3)=X1|~relation_of2_as_subset(X3,X1,X2)|~in(unordered_pair(unordered_pair(esk126_3(X2,X1,X3),X4),unordered_pair(esk126_3(X2,X1,X3),esk126_3(X2,X1,X3))),X3))).
% 7.85/1.60 cnf(i_0_37, 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))).
% 7.85/1.60 cnf(i_0_157, plain, (X1=cartesian_product2(X2,X3)|esk44_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(esk44_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))).
% 7.85/1.60 cnf(i_0_35, plain, (X1=relation_image(X2,X3)|in(esk7_3(X2,X3,X1),X3)|in(esk6_3(X2,X3,X1),X1)|~relation(X2)|~function(X2))).
% 7.85/1.60 cnf(i_0_546, plain, (esk113_2(X1,X2)=esk114_2(X1,X2)|in(esk119_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_522, plain, (esk113_2(X1,X2)=esk115_2(X1,X2)|in(esk119_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_534, plain, (esk116_2(X1,X2)=esk114_2(X1,X2)|in(esk119_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_510, plain, (esk117_2(X1,X2)=esk115_2(X1,X2)|in(esk119_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_721, lemma, (apply(X1,esk141_2(X1,X2))=esk140_2(X1,X2)|X2=function_inverse(X1)|in(esk138_2(X1,X2),relation_rng(X1))|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
% 7.85/1.60 cnf(i_0_179, plain, (X1=set_difference(X2,set_difference(X2,X3))|in(esk54_3(X2,X3,X1),X3)|in(esk54_3(X2,X3,X1),X1))).
% 7.85/1.60 cnf(i_0_21, 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))).
% 7.85/1.60 cnf(i_0_217, plain, (X1=set_difference(X2,X3)|in(esk63_3(X2,X3,X1),X3)|~in(esk63_3(X2,X3,X1),X1)|~in(esk63_3(X2,X3,X1),X2))).
% 7.85/1.60 cnf(i_0_750, lemma, (X1=relation_dom_restriction(X2,X3)|apply(X1,esk144_3(X3,X1,X2))!=apply(X2,esk144_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))).
% 7.85/1.60 cnf(i_0_36, 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))).
% 7.85/1.60 cnf(i_0_51, 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))).
% 7.85/1.60 cnf(i_0_528, plain, (in(esk119_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk116_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_718, lemma, (apply(X1,esk141_2(X1,X2))=esk140_2(X1,X2)|apply(X2,esk138_2(X1,X2))=esk139_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))).
% 7.85/1.60 cnf(i_0_86, plain, (unordered_pair(unordered_pair(esk20_2(X1,X2),esk20_2(X1,X2)),unordered_pair(esk20_2(X1,X2),esk21_2(X1,X2)))=X2|~relation(X1)|~in(X2,X1))).
% 7.85/1.60 cnf(i_0_64, 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))).
% 7.85/1.60 cnf(i_0_201, 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))).
% 7.85/1.60 cnf(i_0_504, plain, (in(esk119_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|in(esk117_2(X1,X2),X1)|~ordinal(X2)|~in(X3,esk118_2(X1,X2)))).
% 7.85/1.60 cnf(i_0_620, lemma, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk127_4(X2,X3,X4,X1))),X4)|relation_dom_as_subset(X3,X2,X4)!=X3|~relation_of2_as_subset(X4,X3,X2)|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_762, 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))).
% 7.85/1.60 cnf(i_0_50, 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))).
% 7.85/1.60 cnf(i_0_34, 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))).
% 7.85/1.60 cnf(i_0_716, lemma, (X1=function_inverse(X2)|in(esk141_2(X2,X1),relation_dom(X2))|apply(X2,esk139_2(X2,X1))!=esk138_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk139_2(X2,X1),relation_dom(X2)))).
% 7.85/1.60 cnf(i_0_198, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk58_2(X1,X2),esk58_2(X1,X2)),unordered_pair(esk58_2(X1,X2),esk59_2(X1,X2))),X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_751, lemma, (X1=relation_dom_restriction(X2,X3)|in(esk144_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))).
% 7.85/1.60 cnf(i_0_197, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk58_2(X1,X2),esk59_2(X1,X2)),unordered_pair(esk59_2(X1,X2),esk59_2(X1,X2))),X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_279, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk82_2(X1,X2),esk82_2(X1,X2)),unordered_pair(esk82_2(X1,X2),esk83_2(X1,X2))),X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_720, lemma, (X1=function_inverse(X2)|in(esk138_2(X2,X1),relation_rng(X2))|apply(X1,esk140_2(X2,X1))!=esk141_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk140_2(X2,X1),relation_rng(X2)))).
% 7.85/1.60 cnf(i_0_106, plain, (esk28_3(X1,X2,X3)=X2|X3=fiber(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(X2,esk28_3(X1,X2,X3)),unordered_pair(esk28_3(X1,X2,X3),esk28_3(X1,X2,X3))),X1)|~in(esk28_3(X1,X2,X3),X3))).
% 7.85/1.60 cnf(i_0_714, lemma, (X1=function_inverse(X2)|apply(X2,esk139_2(X2,X1))!=esk138_2(X2,X1)|apply(X1,esk140_2(X2,X1))!=esk141_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk139_2(X2,X1),relation_dom(X2))|~in(esk140_2(X2,X1),relation_rng(X2)))).
% 7.85/1.60 cnf(i_0_717, lemma, (apply(X1,esk138_2(X2,X1))=esk139_2(X2,X1)|X1=function_inverse(X2)|apply(X1,esk140_2(X2,X1))!=esk141_2(X2,X1)|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk140_2(X2,X1),relation_rng(X2)))).
% 7.85/1.60 cnf(i_0_278, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk83_2(X1,X2),esk83_2(X1,X2)),unordered_pair(esk83_2(X1,X2),esk84_2(X1,X2))),X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_715, lemma, (apply(X1,esk141_2(X1,X2))=esk140_2(X1,X2)|X2=function_inverse(X1)|apply(X1,esk139_2(X1,X2))!=esk138_2(X1,X2)|relation_rng(X1)!=relation_dom(X2)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk139_2(X1,X2),relation_dom(X1)))).
% 7.85/1.60 cnf(i_0_148, plain, (X1=set_union2(X2,X3)|in(esk41_3(X2,X3,X1),X2)|in(esk41_3(X2,X3,X1),X3)|in(esk41_3(X2,X3,X1),X1))).
% 7.85/1.60 cnf(i_0_413, 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))).
% 7.85/1.60 cnf(i_0_130, plain, (X1=X2|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk36_2(X1,X2),esk36_2(X1,X2)),unordered_pair(esk36_2(X1,X2),esk37_2(X1,X2))),X2)|~in(unordered_pair(unordered_pair(esk36_2(X1,X2),esk36_2(X1,X2)),unordered_pair(esk36_2(X1,X2),esk37_2(X1,X2))),X1))).
% 7.85/1.60 cnf(i_0_72, 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))).
% 7.85/1.60 cnf(i_0_169, plain, (subset(X1,X2)|in(unordered_pair(unordered_pair(esk49_2(X1,X2),esk49_2(X1,X2)),unordered_pair(esk49_2(X1,X2),esk50_2(X1,X2))),X1)|~relation(X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_578, lemma, (in(unordered_pair(unordered_pair(X1,esk124_3(X1,X2,X3)),unordered_pair(esk124_3(X1,X2,X3),esk124_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 7.85/1.60 cnf(i_0_284, plain, (X1=complements_of_subsets(X2,X3)|in(subset_complement(X2,esk85_3(X2,X3,X1)),X3)|in(esk85_3(X2,X3,X1),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2))))).
% 7.85/1.60 cnf(i_0_247, 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))).
% 7.85/1.60 cnf(i_0_19, 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))).
% 7.85/1.60 cnf(i_0_250, plain, (X1=relation_inverse(X2)|~relation(X1)|~relation(X2)|~in(unordered_pair(unordered_pair(esk72_2(X2,X1),esk72_2(X2,X1)),unordered_pair(esk72_2(X2,X1),esk73_2(X2,X1))),X1)|~in(unordered_pair(unordered_pair(esk72_2(X2,X1),esk73_2(X2,X1)),unordered_pair(esk73_2(X2,X1),esk73_2(X2,X1))),X2))).
% 7.85/1.60 cnf(i_0_20, 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))).
% 7.85/1.60 cnf(i_0_192, plain, (X1=relation_dom(X2)|in(unordered_pair(unordered_pair(esk56_2(X2,X1),esk56_2(X2,X1)),unordered_pair(esk56_2(X2,X1),esk57_2(X2,X1))),X2)|in(esk56_2(X2,X1),X1)|~relation(X2))).
% 7.85/1.60 cnf(i_0_227, plain, (X1=relation_rng(X2)|in(unordered_pair(unordered_pair(esk68_2(X2,X1),esk69_2(X2,X1)),unordered_pair(esk69_2(X2,X1),esk69_2(X2,X1))),X2)|in(esk68_2(X2,X1),X1)|~relation(X2))).
% 7.85/1.60 cnf(i_0_429, 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)))).
% 7.85/1.60 cnf(i_0_104, plain, (X1=fiber(X2,X3)|in(unordered_pair(unordered_pair(X3,esk28_3(X2,X3,X1)),unordered_pair(esk28_3(X2,X3,X1),esk28_3(X2,X3,X1))),X2)|in(esk28_3(X2,X3,X1),X1)|~relation(X2))).
% 7.85/1.60 cnf(i_0_283, 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))).
% 7.85/1.60 cnf(i_0_257, 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)))).
% 7.85/1.60 cnf(i_0_626, lemma, (in(unordered_pair(unordered_pair(X1,esk129_4(X2,X3,X4,X1)),unordered_pair(esk129_4(X2,X3,X4,X1),esk129_4(X2,X3,X4,X1))),X4)|relation_rng_as_subset(X2,X3,X4)!=X3|~relation_of2_as_subset(X4,X2,X3)|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_154, plain, (unordered_pair(unordered_pair(esk45_3(X1,X2,X3),esk45_3(X1,X2,X3)),unordered_pair(esk45_3(X1,X2,X3),esk46_3(X1,X2,X3)))=esk44_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk44_3(X1,X2,X3),X3))).
% 7.85/1.60 cnf(i_0_57, 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))).
% 7.85/1.60 cnf(i_0_63, 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))).
% 7.85/1.60 cnf(i_0_258, 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))).
% 7.85/1.60 cnf(i_0_129, plain, (X1=X2|in(unordered_pair(unordered_pair(esk36_2(X1,X2),esk36_2(X1,X2)),unordered_pair(esk36_2(X1,X2),esk37_2(X1,X2))),X1)|in(unordered_pair(unordered_pair(esk36_2(X1,X2),esk36_2(X1,X2)),unordered_pair(esk36_2(X1,X2),esk37_2(X1,X2))),X2)|~relation(X2)|~relation(X1))).
% 7.85/1.60 cnf(i_0_29, 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))).
% 7.85/1.60 cnf(i_0_30, 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))).
% 7.85/1.60 cnf(i_0_44, 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))).
% 7.85/1.60 cnf(i_0_43, 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))).
% 7.85/1.60 cnf(i_0_273, plain, (X1=relation_composition(X2,X3)|~relation(X1)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(esk79_3(X2,X3,X1),esk79_3(X2,X3,X1)),unordered_pair(esk79_3(X2,X3,X1),esk80_3(X2,X3,X1))),X1)|~in(unordered_pair(unordered_pair(esk79_3(X2,X3,X1),X4),unordered_pair(esk79_3(X2,X3,X1),esk79_3(X2,X3,X1))),X2)|~in(unordered_pair(unordered_pair(X4,esk80_3(X2,X3,X1)),unordered_pair(X4,X4)),X3))).
% 7.85/1.60 cnf(i_0_255, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk74_3(X1,X2,X3),esk74_3(X1,X2,X3)),unordered_pair(esk74_3(X1,X2,X3),esk75_3(X1,X2,X3))),X1)|in(esk74_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))).
% 7.85/1.60 cnf(i_0_254, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(esk74_3(X1,X2,X3),esk74_3(X1,X2,X3)),unordered_pair(esk74_3(X1,X2,X3),esk75_3(X1,X2,X3))),X1)|in(esk75_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))).
% 7.85/1.60 cnf(i_0_249, plain, (X1=relation_inverse(X2)|in(unordered_pair(unordered_pair(esk72_2(X2,X1),esk73_2(X2,X1)),unordered_pair(esk73_2(X2,X1),esk73_2(X2,X1))),X2)|in(unordered_pair(unordered_pair(esk72_2(X2,X1),esk72_2(X2,X1)),unordered_pair(esk72_2(X2,X1),esk73_2(X2,X1))),X1)|~relation(X1)|~relation(X2))).
% 7.85/1.60 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))),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))).
% 7.85/1.60 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))),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))).
% 7.85/1.60 cnf(i_0_272, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk79_3(X2,X3,X1),esk79_3(X2,X3,X1)),unordered_pair(esk79_3(X2,X3,X1),esk81_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(esk79_3(X2,X3,X1),esk79_3(X2,X3,X1)),unordered_pair(esk79_3(X2,X3,X1),esk80_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 7.85/1.60 cnf(i_0_256, 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,esk74_3(X1,X2,X3)),apply(X3,esk74_3(X1,X2,X3))),unordered_pair(apply(X3,esk74_3(X1,X2,X3)),apply(X3,esk75_3(X1,X2,X3)))),X2)|~in(unordered_pair(unordered_pair(esk74_3(X1,X2,X3),esk74_3(X1,X2,X3)),unordered_pair(esk74_3(X1,X2,X3),esk75_3(X1,X2,X3))),X1)|~in(esk74_3(X1,X2,X3),relation_field(X1))|~in(esk75_3(X1,X2,X3),relation_field(X1)))).
% 7.85/1.60 cnf(i_0_271, plain, (X1=relation_composition(X2,X3)|in(unordered_pair(unordered_pair(esk80_3(X2,X3,X1),esk81_3(X2,X3,X1)),unordered_pair(esk81_3(X2,X3,X1),esk81_3(X2,X3,X1))),X3)|in(unordered_pair(unordered_pair(esk79_3(X2,X3,X1),esk79_3(X2,X3,X1)),unordered_pair(esk79_3(X2,X3,X1),esk80_3(X2,X3,X1))),X1)|~relation(X1)|~relation(X3)|~relation(X2))).
% 7.85/1.60 cnf(i_0_253, plain, (relation_isomorphism(X1,X2,X3)|in(unordered_pair(unordered_pair(apply(X3,esk74_3(X1,X2,X3)),apply(X3,esk74_3(X1,X2,X3))),unordered_pair(apply(X3,esk74_3(X1,X2,X3)),apply(X3,esk75_3(X1,X2,X3)))),X2)|in(unordered_pair(unordered_pair(esk74_3(X1,X2,X3),esk74_3(X1,X2,X3)),unordered_pair(esk74_3(X1,X2,X3),esk75_3(X1,X2,X3))),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))).
% 7.85/1.60 cnf(i_0_109, plain, (~relation(X1)|~in(X2,fiber(X1,X2)))).
% 7.85/1.60 cnf(i_0_219, plain, (~in(X1,set_difference(X2,X3))|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_122, plain, (subset(X1,X2)|~in(X1,powerset(X2)))).
% 7.85/1.60 cnf(i_0_103, plain, (X1=X2|~in(X1,unordered_pair(X2,X2)))).
% 7.85/1.60 cnf(i_0_220, plain, (in(X1,X2)|~in(X1,set_difference(X2,X3)))).
% 7.85/1.60 cnf(i_0_121, plain, (in(X1,powerset(X2))|~subset(X1,X2))).
% 7.85/1.60 cnf(i_0_142, plain, (X1=X2|X1=X3|~in(X1,unordered_pair(X3,X2)))).
% 7.85/1.60 cnf(i_0_691, lemma, (~being_limit_ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1))).
% 7.85/1.60 cnf(i_0_183, plain, (in(X1,X2)|~in(X1,set_difference(X3,set_difference(X3,X2))))).
% 7.85/1.60 cnf(i_0_151, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_152, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_153, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))).
% 7.85/1.60 cnf(i_0_80, plain, (X1=X2|esk18_2(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1)!=X1)).
% 7.85/1.60 cnf(i_0_123, plain, (X1=X2|esk34_2(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),X1)!=X1)).
% 7.85/1.60 cnf(i_0_55, plain, (in(X1,relation_dom(X2))|~relation(X2)|~function(X2)|~in(X1,relation_inverse_image(X2,X3)))).
% 7.85/1.60 cnf(i_0_185, plain, (apply(X1,X2)=empty_set|in(X2,relation_dom(X1))|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_206, plain, (in(X1,union(X2))|~in(X3,X2)|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_54, plain, (in(apply(X1,X2),X3)|~relation(X1)|~function(X1)|~in(X2,relation_inverse_image(X1,X3)))).
% 7.85/1.60 cnf(i_0_97, plain, (X1=empty_set|in(X2,set_meet(X1))|~in(X2,esk24_3(X1,set_meet(X1),X2)))).
% 7.85/1.60 cnf(i_0_218, plain, (in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_23, plain, (X1=X2|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),identity_relation(X3)))).
% 7.85/1.60 cnf(i_0_79, plain, (X1=X2|X1=X3|X1=X4|~in(X1,unordered_triple(X4,X3,X2)))).
% 7.85/1.60 cnf(i_0_24, plain, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),identity_relation(X2)))).
% 7.85/1.60 cnf(i_0_208, plain, (in(X1,esk60_3(X2,union(X2),X1))|~in(X1,union(X2)))).
% 7.85/1.60 cnf(i_0_207, plain, (in(esk60_3(X1,union(X1),X2),X1)|~in(X2,union(X1)))).
% 7.85/1.60 cnf(i_0_99, plain, (X1=empty_set|in(X2,X3)|~in(X2,set_meet(X1))|~in(X3,X1))).
% 7.85/1.60 cnf(i_0_657, lemma, (identity_relation(relation_dom(X1))=X1|apply(X1,esk133_2(relation_dom(X1),X1))!=esk133_2(relation_dom(X1),X1)|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_224, plain, (in(apply(X1,X2),relation_rng(X1))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 7.85/1.60 cnf(i_0_113, plain, (inclusion_relation(relation_field(X1))=X1|in(esk29_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_182, plain, (in(X1,set_difference(X2,set_difference(X2,X3)))|~in(X1,X3)|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_112, plain, (inclusion_relation(relation_field(X1))=X1|in(esk30_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))).
% 7.85/1.60 cnf(i_0_658, lemma, (identity_relation(relation_dom(X1))=X1|in(esk133_2(relation_dom(X1),X1),relation_dom(X1))|~relation(X1)|~function(X1))).
% 7.85/1.60 cnf(i_0_98, plain, (X1=empty_set|in(esk24_3(X1,set_meet(X1),X2),X1)|in(X2,set_meet(X1)))).
% 7.85/1.60 cnf(i_0_53, plain, (in(X1,relation_inverse_image(X2,X3))|~relation(X2)|~function(X2)|~in(apply(X2,X1),X3)|~in(X1,relation_dom(X2)))).
% 7.85/1.60 cnf(i_0_33, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),relation_dom_restriction(X3,X2)))).
% 7.85/1.60 cnf(i_0_47, plain, (in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),relation_rng_restriction(X2,X3)))).
% 7.85/1.60 cnf(i_0_107, plain, (X1=X2|in(X1,fiber(X3,X2))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3))).
% 7.85/1.60 cnf(i_0_161, plain, (in(esk42_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))).
% 7.85/1.60 cnf(i_0_115, plain, (subset(X1,X2)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),inclusion_relation(X3))|~in(X2,X3)|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_225, plain, (apply(X1,esk64_3(X1,relation_rng(X1),X2))=X2|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 7.85/1.60 cnf(i_0_160, plain, (in(esk43_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))).
% 7.85/1.60 cnf(i_0_22, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X1)),identity_relation(X2))|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_60, plain, (in(esk11_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_image(X1,X2)))).
% 7.85/1.60 cnf(i_0_226, plain, (in(esk64_3(X1,relation_rng(X1),X2),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 7.85/1.60 cnf(i_0_38, plain, (in(apply(X1,X2),relation_image(X1,X3))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1))|~in(X2,X3))).
% 7.85/1.60 cnf(i_0_547, lemma, (in(X1,esk121_2(X2,X3))|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_66, plain, (in(esk14_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_inverse_image(X1,X2)))).
% 7.85/1.60 cnf(i_0_108, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(X1,fiber(X3,X2)))).
% 7.85/1.60 cnf(i_0_40, plain, (in(esk5_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 7.85/1.60 cnf(i_0_114, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),inclusion_relation(X3))|~subset(X1,X2)|~in(X2,X3)|~in(X1,X3))).
% 7.85/1.60 cnf(i_0_288, plain, (in(subset_complement(X1,X2),X3)|~element(X3,powerset(powerset(X1)))|~in(X2,complements_of_subsets(X1,X3)))).
% 7.85/1.60 cnf(i_0_39, plain, (apply(X1,esk5_4(X1,X2,relation_image(X1,X2),X3))=X3|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 7.85/1.60 cnf(i_0_41, plain, (in(esk5_4(X1,X2,relation_image(X1,X2),X3),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X3,relation_image(X1,X2)))).
% 7.85/1.60 cnf(i_0_188, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,apply(X2,X1))),X2)|~relation(X2)|~function(X2)|~in(X1,relation_dom(X2)))).
% 7.85/1.60 cnf(i_0_723, lemma, (apply(function_inverse(X1),apply(X1,X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
% 7.85/1.60 cnf(i_0_726, lemma, (in(apply(function_inverse(X1),X2),relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
% 7.85/1.60 cnf(i_0_287, plain, (in(X1,complements_of_subsets(X2,X3))|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(X2))|~in(subset_complement(X2,X1),X3))).
% 7.85/1.60 cnf(i_0_195, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk55_3(X2,relation_dom(X2),X1))),X2)|~relation(X2)|~in(X1,relation_dom(X2)))).
% 7.85/1.60 cnf(i_0_493, plain, (in(X1,esk118_2(X2,X3))|esk115_2(X2,X3)!=esk114_2(X2,X3)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_32, 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)))).
% 7.85/1.60 cnf(i_0_46, 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)))).
% 7.85/1.60 cnf(i_0_535, plain, (ordinal(esk116_2(X1,X2))|in(X3,esk118_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 7.85/1.60 cnf(i_0_511, plain, (ordinal(esk117_2(X1,X2))|in(X3,esk118_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 7.85/1.60 cnf(i_0_541, plain, (esk113_2(X1,X2)=esk114_2(X1,X2)|in(X3,esk118_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 7.85/1.60 cnf(i_0_517, plain, (esk113_2(X1,X2)=esk115_2(X1,X2)|in(X3,esk118_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 7.85/1.60 cnf(i_0_529, plain, (esk116_2(X1,X2)=esk114_2(X1,X2)|in(X3,esk118_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 7.85/1.60 cnf(i_0_505, plain, (esk117_2(X1,X2)=esk115_2(X1,X2)|in(X3,esk118_2(X1,X2))|~ordinal(X3)|~ordinal(X2)|~in(X3,set_union2(X2,unordered_pair(X2,X2)))|~in(X3,X1))).
% 7.85/1.60 cnf(i_0_111, plain, (inclusion_relation(relation_field(X1))=X1|~subset(esk29_2(relation_field(X1),X1),esk30_2(relation_field(X1),X1))|~relation(X1)|~in(unordered_pair(unordered_pair(esk29_2(relation_field(X1),X1),esk29_2(relation_field(X1),X1)),unordered_pair(esk29_2(relation_field(X1),X1),esk30_2(relation_field(X1),X1))),X1))).
% 7.85/1.60 cnf(i_0_67, 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)))).
% 7.85/1.60 cnf(i_0_252, 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)))).
% 7.85/1.60 cnf(i_0_523, plain, (in(X1,esk118_2(X2,X3))|in(esk116_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_499, plain, (in(X1,esk118_2(X2,X3))|in(esk117_2(X2,X3),X2)|~ordinal(X1)|~ordinal(X3)|~in(X1,set_union2(X3,unordered_pair(X3,X3)))|~in(X1,X2))).
% 7.85/1.60 cnf(i_0_251, 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))).
% 7.85/1.60 cnf(i_0_45, 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))).
% 7.85/1.60 cnf(i_0_31, 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))).
% 7.85/1.60 cnf(i_0_230, plain, (in(unordered_pair(unordered_pair(X1,esk67_3(X2,relation_rng(X2),X1)),unordered_pair(esk67_3(X2,relation_rng(X2),X1),esk67_3(X2,relation_rng(X2),X1))),X2)|~relation(X2)|~in(X1,relation_rng(X2)))).
% 7.85/1.60 cnf(i_0_276, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk78_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)))).
% 7.85/1.60 cnf(i_0_274, 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))).
% 7.85/1.60 cnf(i_0_81, plain, (unordered_pair(unordered_pair(esk18_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk18_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)),unordered_pair(esk18_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk19_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X3=X1)).
% 7.85/1.60 cnf(i_0_110, plain, (inclusion_relation(relation_field(X1))=X1|subset(esk29_2(relation_field(X1),X1),esk30_2(relation_field(X1),X1))|in(unordered_pair(unordered_pair(esk29_2(relation_field(X1),X1),esk29_2(relation_field(X1),X1)),unordered_pair(esk29_2(relation_field(X1),X1),esk30_2(relation_field(X1),X1))),X1)|~relation(X1))).
% 7.85/1.60 cnf(i_0_61, 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)))).
% 7.85/1.60 cnf(i_0_159, plain, (unordered_pair(unordered_pair(esk42_4(X1,X2,cartesian_product2(X1,X2),X3),esk42_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk42_4(X1,X2,cartesian_product2(X1,X2),X3),esk43_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))).
% 7.85/1.60 cnf(i_0_275, plain, (in(unordered_pair(unordered_pair(X1,esk78_5(X2,X3,relation_composition(X2,X3),X4,X1)),unordered_pair(esk78_5(X2,X3,relation_composition(X2,X3),X4,X1),esk78_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)))).
% 7.85/1.60 cnf(i_0_124, plain, (unordered_pair(unordered_pair(esk34_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk33_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)),unordered_pair(esk33_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3),esk33_2(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)))=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))|X3=X2)).
% 7.85/1.60 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 7.85/1.60 # Begin printing tableau
% 7.85/1.60 # Found 8 steps
% 7.85/1.60 cnf(i_0_771, negated_conjecture, (ordinal(esk146_0)), inference(start_rule)).
% 7.85/1.60 cnf(i_0_950, plain, (ordinal(esk146_0)), inference(extension_rule, [i_0_523])).
% 7.85/1.60 cnf(i_0_5118, plain, (in(esk116_2(empty_set,empty_set),empty_set)), inference(closure_rule, [i_0_118])).
% 7.85/1.60 cnf(i_0_5120, plain, (~ordinal(empty_set)), inference(closure_rule, [i_0_358])).
% 7.85/1.60 cnf(i_0_5117, plain, (in(esk146_0,esk118_2(empty_set,empty_set))), inference(extension_rule, [i_0_765])).
% 7.85/1.60 cnf(i_0_5121, plain, (~in(esk146_0,set_union2(empty_set,unordered_pair(empty_set,empty_set)))), inference(etableau_closure_rule, [i_0_5121, ...])).
% 7.85/1.60 cnf(i_0_5122, plain, (~in(esk146_0,empty_set)), inference(etableau_closure_rule, [i_0_5122, ...])).
% 7.85/1.60 cnf(i_0_5181, plain, (~empty(esk118_2(empty_set,empty_set))), inference(etableau_closure_rule, [i_0_5181, ...])).
% 7.85/1.60 # End printing tableau
% 7.85/1.60 # SZS output end
% 7.85/1.60 # Branches closed with saturation will be marked with an "s"
% 7.85/1.61 # Child (25368) has found a proof.
% 7.85/1.61
% 7.85/1.61 # Proof search is over...
% 7.85/1.61 # Freeing feature tree
%------------------------------------------------------------------------------